The volume of which shapes can be found using the formula V = Bh?
Select all that apply.
Group of answer choices

right triangular prism

rectangular pyramid

triangular pyramid

rectangular prism

cone

Answers

Answer 1

Answer:

Triangular pyramid and Rectangular prism

Step-by-step explanation:

There are several different uses of the formula V = BH. For example, we used the formula V = BH for a cylinder, a rectangular prism, and a triangular pyramid. But be careful! All of the elements in the formulas don't mean the same! I really hope this helps you a bit!

Answer 2

Volume of the Right triangular prism and rectangular prism can be found by using the formula V= B×h

What is Volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface

What is Base area?

It refers to the area of one of the bases of a solid figure.

Given,

Volume V= B×h

Where B is the Base area and h is the height

Volume of the Right triangular prism and rectangular prism can be found by using the given formula V = B×h. Because two identical shapes (base) facing each other with a height h

But we cannot find the volume of the Rectangular pyramid, triangular pyramid and mid by using the given equation because this formula is used to find the volume of a geometric prism or cylinder.

Hence, Volume of the Right triangular prism and rectangular prism can be found by using the formula V= B×h

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Related Questions

What is assumed by the homogeneity of variance assumption?
a. The two samples have equal variances
b. The two sample variances are not equal.
c. The two populations have equal variances
d. The two population variances are not equal

Answers

Homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The homogeneity of variance assumption assumes that the two populations have equal variances. Therefore, the correct answer is option c, "The two populations have equal variances."

This assumption is often made in statistical tests that compare the means of two groups, such as the t-test.

When the variances of the two populations are equal, it allows for more precise estimates of the standard error and can improve the accuracy of the test results.

However, if the variances are not equal, it can lead to biased and unreliable results.

In such cases, alternative methods, such as Welch's t-test or the Brown-Forsythe test, can be used to adjust for unequal variances.

Hence, homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.

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help need plzzzzzzzzz​

help need plzzzzzzzzz

Answers

Answer:

The answer to the question provided is possibly 2.

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: \: \: \: 3y + 77 = 2y + 79 \\ \frac{ - 2y \: \: \: \: \: \: = - 2y}{1y + 77 = 79} \\ \frac{ \: \: \: \: \: \: \: \: - 77 = - 77}{ \frac{1y}{1} = \frac{2}{1} } \\ \\ y = 2\)

20 applicants from a pool of 90 applications will be hired. How many ways are there to select the applicants who will be hired?

Answers

The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

According to the statement

we have to find that the number of ways are there to select the applicants who will be hired.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Here we use the combination.

And from the given information:

20 applicants from a pool of 90 applications will be hired.

And according to this the combination becomes:

\(C_{20} ^{90}\)

then solve it

\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)

\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)

Then after solve it

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)

Now open another factorial

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)

Now solve this then

\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).

So, The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

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Tisha earned $4,000.00 from a summer job and put it in a savings account that earns 10% interest compounded annually. When Tisha started college, she had $5,969.00 in the account which she used to pay for tuition. How long was the money in the account?

Answers

The money was in the account for approximately 4 years before Tisha used it to pay for tuition.

Let's use the terms provided and the formula for compound interest to find out how long the money was in the account.

The compound interest formula is: A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per year

t = the time the money is invested or borrowed for, in years

In your case, we have:

A = $5,969

P = $4,000

r = 10% = 0.10 (converted to decimal)

n = 1 (interest is compounded annually)

We need to find 't'. We can plug the values into the formula and solve for 't':

$5,969 = $4,000(1 + 0.10/1)(1*t)

Now, we can simplify and solve for 't':

Divide both sides by $4,000:

1.49225 = (1.10)t

Take the natural logarithm (ln) of both sides:

ln(1.49225) = ln((1.10)t)

Apply the power rule for logarithms:

ln(1.49225) = t * ln(1.10)

Solve for 't':

t = ln(1.49225) / ln(1.10)

t ≈ 4

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Cuál es la expresión algebraica que determina la sucesión anterior 10,17 ,24​

Answers

Answer:

no se si lo necesitas en español

Step-by-step explanation:

Al darse cuenta de que

10

=

7

(

1

)

+

3

,

17

=

7

(

2

)

+

3

etc.

Una secuencia aritmética es aquella en la que alguna diferencia constante entre los números en una secuencia le da un patrón para llegar al siguiente número no listado en la secuencia.

En este caso, la diferencia es

7

. Cuando uno trabaja al revés y resta

7

desde

10

, el resultado es

3

. En el

0

a término, asumimos que

norte

>

0

para series y secuencias.

Asi que,

3

es el

0

th término, dándonos la intersección con el eje y, por así decirlo. Ahora simplemente tendríamos que reconocer que si incrementamos

norte

integralmente, y tenemos una diferencia de

7

de término a término, esa es la operación

7

norte

.

Entonces, la secuencia aritmética se generaría como:

a

0

=

3

+

7

(

0

)

=

3

a

1

=

a

0

+

7

(

1

)

=

10

a

2

=

a

1

+

7

(

1

)

=

a

0

+

7

(

1

)

+

7

(

1

)

=

17

a

3

=

a

2

+

7

(

1

)

=

a

1

+

7

(

1

)

+

7

(

1

)

=

a

0

+

7

(

1

)

+

7

(

1

)

+

7

(

1

)

=

24

etcétera. Cada término tiene

a

0

dentro de él, agregado a

7

veces el índice actual indicado por

a

norte

. Entonces, solo tenemos la definición recursiva:

a

norte

=

a

norte

-

1

+

7

o la definición general:

a

norte

=

3

+

7

norte

Swadaylab arck, a
fatis)
ne that obat 5. Eind the raken
$10​

Answers

I don’t know I just need points I apologize

Show each step along the Way

Ur mom

Answers

2x+6 = 20
take 6 from both sides
2x = 14
divide by 2 on both sides
x = 7

Answer:

381 people helped

2x+6 = 20

take 6 from both sides

2x = 14

divide by 2 on both sides

x = 7

Step-by-step explanation:

asuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametricaly opposite a woman

Answers

There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.

To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.

So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

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Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?

need an answer ASAP thanks

need an answer ASAP thanks

Answers

Answer:

z = -2

Step-by-step explanation:

First, use the Distributive property to Multiply 4*3z. Do the same to 4*5. You should now have 12z + 20 = -4

Next, you want to isolate the variable. To do that, start by Subtracting 20 from both sides of the equation sign. You should now have 12z = -24

Last, Divide each side by 12. You should now have z = -2

I hope this helps!

Write an equation that shows the relationship 40% of 120 is a.
Step by step please.

Answers

Answer:

your answer is 48

Step-by-step explanation:

40 / 100 * 120 ( to find the value of 40 % of 120) 4 * 12. ( after simplification) 48

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Alice has just discovered base 10 cake! She is delighted with how powerful it is. One day, after nibbling on the cake, Alice realizes she is 1 mile tall. Having her head in the sky makes her think about space travel. She decides she wants to visit the moon, which is about 239,000 miles from the earth. How many more ounces of base 10 cake should Alice eat so the top of her head just touches the moon? Give your answer to the nearest hundredth of an ounce.

Answers

Answer:

5.38 ounces

Step-by-step explanation:

Given that :

Alice height = 1 mile

Distance of earth to moon = 239000 miles

Number of base 10 cakes required so they Alice's head just touches the moon ;

Using the relation :

Distance = height per ounce * 10^number of ounces

Height per ounce = 1 mile ;

Let number of ounces = n

Hence,

239000 = 1 * 10^n

239000 = 10^n

Take log of both sides

Log(239000) = n

5.3783979 = n

5.3784 = n

Hence, Alice should take 5.38 ounces of base 10 cakes

The area of a square photo frame is 250cm2. Find the perimeter of the photo frame, leaving your answer correct to 1 decimal place.

Answers

Therefore ,perimeter of square photo frame = 63.2 centimeter.

What is the perimeter?

The total length of boundary of a closed geometric shape is called perimeter. Different geometric shape has different formula for determining perimeter. For a square shaped object perimeter is the four times of its side length.

Here,

Area of a square photo frame = 250 square centimeter.

We know, area of a square photo frame = square of side length

if side length = s

area = s²

it is given that area of a square photo frame = 250 cm²

250 cm² = s²

s = √250 cm

s = 15.81 cm

side length = 15.81 cm

formula for perimeter = 4× side length

perimeter of frame = 4×15.81 = 63.24 cm

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Given f(x) = -11x² + 5, what is the value of f(4)?

Answers

Answer: f(4) = -171

Step-by-step explanation:

      To answer this question, we will solve the function for 4. In other words, we will input 4 into the function and simplify. Don't forget the order of PEMDAS when simplifying.

Given:

     f(x) = -11x² + 5

Input of 4:

     f(4) = -11(4)² + 5

Raise to the power of 2:

     f(4) = -11(16) + 5

Multiply:

     f(4) = -176 + 5

Add:

     f(4) = -171

Given f(x) = -11x + 5, what is the value of f(4)?

In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be_______. a) medium strength. b) low strength. c) high strength. d) 0

Answers

In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.

In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.

In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.

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Identify the sampling technique used in the given scenario. The English department is interested in overall performance in its entry-level 101 course. The department chair selects every tenth student's final grade from a list of all students enrolled in the course and calculates the average final grade.

Answers

The sampling technique used in the given scenario is Systematic sampling technique.

Systematic sampling technique

Systematic sampling is a probability sampling technique in which researchers randomly choose individuals of a population at regular intervals. The sampling interval, or fixed periodic interval, is calculated by dividing the population size by the required sample size.

Types of Systematic sampling technique

A systematic sample can be generated in three ways:

Systematic random sampling: The most common type of systematic sampling in which the subject is chosen at a predefined interval.

Linear systematic sampling: Instead of picking the sample interval at random, a skip pattern is constructed by following a linear path.

Circular systematic sampling: It occurs when a sample begins from the same spot where it ends.

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Heng was trying to factor 10 x 2 + 5 x 10x 2 +5x10, x, squared, plus, 5, x. She found that the greatest common factor of these terms was 5 x 5x5, x and made an area model:

Answers

Full question:

Heng was trying to factor 10x²+5x. She found that the greatest common factor of these terms was 5x and made an area model: What is the width of Heng's area model?

Answer:

The width of the area model is 2x + 1

Step-by-step explanation:

Given

Expression: 10x² + 5x

Factor: 5x

Required

Width of the Area Model

To solve this, I'll assume the area model is Length * Width

Provided that we're to solve for the width of the model.

This implies that; Length = 5x

Area = Length * Width

And

Area = 10x² + 5x

Equate these two

Length * Width = 10x² + 5x

Factorize express on the right hand side

Length * Width = 5x(2x + 1)

Substitute 5x for Length

5x * Width = 5x(2x + 1)

Divide both sides by 5x

Width = 2x + 1

Hence, the width of the area model is 2x + 1

A college newspaper interviews a psychologist about a proposed system for rating the teaching ability of faculty members. The psychologist says, The evidence indicates that the correlation between a faculty member's research productivity and teaching rating is close to zero." A correct interpretation of this statement would be

a. good teachers tend to be poor researchers and vice versa.

b. good researchers are just as likely to be good teachers as they are bad teachers

c. good research and good teaching go hand in hand.

d. good researchers tend to be poor teachers and vice versa.

Answers

The correct interpretation of the psychologist's statement, "The evidence indicates that the correlation between a faculty member's research productivity and teaching rating is close to zero," would be b. good researchers are just as likely to be good teachers as they are bad teachers.

This interpretation suggests that there is no significant relationship between a faculty member's research productivity and their teaching rating. It means that being a good researcher does not necessarily imply being a good teacher, and vice versa.

The psychologist's statement indicates that the two factors, research productivity and teaching ability, are not strongly correlated with each other.

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Given that lines a and b are parallel and that m∠5 = 120°, find m∠1.
A) 40°
B) 60°
C) 120°
D) 135°

Given that lines a and b are parallel and that m5 = 120, find m1.A) 40 B) 60 C) 120 D) 135

Answers

Answer:

answer will be 120°

Step-by-step explanation:

as those are similar angles

Answer:

C

Step-by-step explanation:

angles 1 and 5 are corresponding angles and congruent , thus

∠ 1 = ∠ 5 = 120° → C

Use a linear approximation of f(x)=x√ 3 about the value x=64 to estimate √65.3 . Round your answer to four decimal places, if necessary.

Answers

Using linear approximation, we estimate that √65.3 ≈ 47.822, rounded to four decimal places.

To use linear approximation, we need to find the equation of the tangent line to the function f(x) at x=64. Then, we can use this tangent line to approximate the value of f(x) near x=64.

First, let's find the equation of the tangent line to f(x) at x=64. The slope of the tangent line is given by the derivative of f(x) at x=64:

f'(x) = √3/2x^(1/2)

f'(64) = √3/2(64)^(1/2) = √3/2 * 8 = 4√3

Equation of tangent line f(x) at x=64:

y - f(64) = f'(64)(x - 64)

y - 64√3 = 4√3(x - 64)

y = 4√3x - 128√3

Now, we can use this tangent line to approximate f(x) near x=64. We want to estimate √65.3, which is close to x=64. Let's substitute x=65.3 into the equation of the tangent line:

y = 4√3(65.3) - 128√3 ≈ 47.822

Therefore, using linear approximation, we estimate that √65.3 ≈ 47.822, rounded to four decimal places.

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necesito su ayuda les doy coronita ​

necesito su ayuda les doy coronita

Answers

Answer:

what

Step-by-step explanation:

IF YOU HELP ME NOW ILL GIVE BRAINLIST!

IF YOU HELP ME NOW ILL GIVE BRAINLIST!

Answers

Answer:

A. <

B. =

C. >

D. <

Step-by-step explanation:

Answer:

a. 3.07 < 3.7

b. 12.3 = 12.30

c.0.7 > 0.65

d. 1.82 < 1.89

Step-by-step explanation:

a. By looking at the tenths place, you can see that 3.07 is less than 3.7.

b. By looking at the hundredths place, you can see that 12.3 is equal to 12.30.

c. By looking at the tenths place, you can see that 0.7 is greater than 0.65.

d. By looking at the hundredths place, you can see that 1.82 is less than 1.89.

write 701.3% as a whole number or mixed number in simplest form

Answers

7013/10

Step-by-step explanation:

first, count the decimal to the right

as you can tell, we can only do it once so therefore we get 10

we then multiply 701.3/1 both sides with 10

then we get out answer 7013/10

A father is 4 times as old as his son. In 20 years the father will be twice as old as his son.. Find their present ages

Answers

x = the age of his son now, then the age of the father is 4x.

In 20 years,

son's age = x + 20

father's age = 4x + 20

solve the equation for x:

4x + 20 = 2(x + 20)

4x + 20 = 2x + 40

2x = 20

x = 10

So the age of his son now is 10, and the age of the the father now is 40.

Father 40
Son 10
That is the answer

ASAP SOMEONE PLEASE ANSWER THIS PROBLEM FOR ME AND IF YOU DO THANK YOU!! :D

(The counter servers at Pop Brothers earn $8 per hour. If pis the amount of earnings and his number of hours worked,
which equation can be used to calculate the earnings for 1 server?)
1:ph = 8
2:Bp=8h
3:p=h+8
4:Dh=8p

Answers

The answer would be A

Answer:

1 ph=8

Step-by-step explanation:

Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?

Answers

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Use the graph to evaluate the function.
f(-5) =
y
-8 -6

Use the graph to evaluate the function.f(-5) =y-8 -6

Answers

Answer:

-4

Step-by-step explanation:

Go to x value of -5 and go down until you touch line.

A rectangular advertisement is 144 inches wide and 42 inches long. A media company wants to create a billboard advertisement using the scale factor of 4. Part A. What are dimensions of the bill board in feet. Show every step of your work

Answers

Using the scale factor of 4, the dimensions of the billboard advertisement are 48 feet x 14 feet.

The problem can be solved using dilation concept.

The scale factor in a dilation is the ratio of the lengths of any two corresponding sides of the original figure and its image after dilation.

The dimensions of the billboard advertisement can be found by multiplying the original dimensions by the scale factor of 4.

Step 1: Multiply the width by the scale factor: 144 inches x 4 = 576 inches
Step 2: Multiply the length by the scale factor: 42 inches x 4 = 168 inches
Step 3: Convert the dimensions from inches to feet: 576 inches ÷ 12 = 48 feet, 168 inches ÷ 12 = 14 feet

Hence, the dimensions of the billboard advertisement in feet are 48 feet wide and 14 feet long.

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Answer:

Part A:

144 x 4 = 576 12 = 48 ft 

so 48 ft is the width 

42 x 4 = 168 12 = 14 ft

so the length is 14 ft

48ft by 14ft

Part B:

48 x 14 = 672 ft2 

Step-by-step explanation:

A sheet of plywood is 5/8 in. thick. How tall is a stack of 21 sheets of plywood?

Answers

Answer:

13.125 inches

Step-by-step explanation:

5/8*21=13.125

26 Mr Hussain buys 13 kg of onions, 3½ kg of potatoes and
7 kg of cabbage. What total mass does he carry home?

Answers

Answer:

23.5kg

Step-by-step explanation:

the total mass of the things he bought is what we are asked to find.

13kg of onions+3.5kg of potatoes+7kg of cabbage is the total mass he carried home.

=23.5kg

80% off of the sale price $90 what is the original price

Answers

Answer: So that means the answer is $112.5

Step-by-step explanation:Percent of Discount is 80%. Sale Price is $90. The original price,. = 90 x 100 / 80. = 9000/80. = 112.5. Therefore, $112.5 is the original price.

YES THIS IS RIGHT!!!!

Other Questions
Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion is 0.68, and the margin of error is 0.03. Use three decimal places for the critical value and round to the nearest integer for your final answer. Eg. 48.47=49 Can somebody please help?I read the directions wrong I'll give you a crown if you can try:( (a) for a nonsingular n n matrix a, show that a^-1 = 1/c0 (- A^n1 - cn-1 A^n2 - .... - c2A - c1l) (b) use this result to find the inverse of the matrix A = 1 2 3 5 93.You should practise ...... English all the time. a) speak b) to speak c) speaks d) speaking 94.When he told us the story, we just couldn't stop a) laugh b) to laugh c) laughing d) laughed 95.Tamer and I agreed ............ seven pounds each. a) paying b) pay c) to pay d) was paying 96.Selim is so funny. He stopped .........television because he said it was rotting his brain. a) to watch b) is watching c) watch d) watching 97.Kareem finished ............. his dinner at 6.30. a) to have eaten b) to eat c) eating d) eaten 98.Amina admitted not ............. how to open the door. a) to be known b) knowing c) to know d) known 99.Hany and his sister practise tennis every day after school a) playing b) to play c) played d) play 100.I regret ........ you that Nabil will not be joining the team. I know you wanted him with us. a) telling b) to tell c) have told d) am telling 101-I ( deny - dislike - regret - miss ) leaving early yesterday. I wish I had stayed to meet you. 102-I can't stand ( to listen - listen - listening - to listening) to him. 103-He stopped ( write - to write - written - writing ) and put down his pen. 104-The thief got into the house because I forgot (closing - closed- to close - to closing) the window. 105-She couldn't help (to cry - cries - cry - crying) aloud the moment she saw the accident. 106-She deserved ( win - winning - to win - won) the first prize. 107-He began to play - plays - played - playing ) the guitar when the phone rang. 108-He began playing - to play - plays - played ) the guitar when he was six, 109.Nehad regrets ......... her mother on her birthday. She should have done it. a) not phone b) not phoned c) ngt phoning d) not to phone 110.If I were you, I'd avoid ............... into the city during the festival. a) travels b) to travel c) travelling d) of traveling 111.Before you go to London, you should practise English a) speak b) speaking c) to speaking d) speaks The scatterplot shows the relationship of scores for students who took a math test and history test. Based on a line of best fit, what score would be the BEST prediction for a student's history test if they made a 60 on their math test? A) 50 B) 60 C) 70 D) 75 1. when positioning a hemiplegic patient in the supported fowler's position, what is the primary reason a trochanter roll is placed alongside the patient's legs? Which among the following statements regarding correlation coefficient is/are correct? Group of answer choices Its absolute value cannot exceed 1. It only takes non-negative values. A positive value indicates a strong correlation between the two variables; a negative value indicates a week correlation between the two variables. If X and Y have positive correlation coefficient, when we run a regression analysis Y=a+bX+e, we will find b positive. If X and Y have positive correlation coefficient, when we run a regression analysis Y=a+bX+e, we will find a positive. Implement the firstOnly method so that it returns the first character of the 5 parameters a, b, c, d and e concatenated together. Let f(x) = 6x^2 - 4x + 2. Find a constant c between 1 and 9 such that the average value of the function f(x) on the interval (1,9] is equal to fc). A. 4.8735 B. 5.5402 C. 5.5721 D. -4.8735 E. 164 Which axis is the head rotating about when a student drops his chin toward his chest?verticalanteroposteriorsagittal transverse Find the exact value of cos(77)cos(58) - sin(77 )sin(58) Enter answers in exact form, i.e. use sqrt(5) for 5 Next Question Solve sin(2x) cos(7x) cos(2x) sin(7x) = 0.4 for the smallest positive solutionX = Let K be the splitting field of x^3 - 5 over Q. (a) Show that K = Q(5, i3) (b) Explicitly describe the elements of Aut(K) (c) Determine what group we have seen before that Aut(K) is isomorphic to (d) Draw a subgroup diagram for Aut(K) and subfield diagram of K and indicate what subfields correspond to what subgroups under Galois correspondence. Bonding with intermolecular forces:1.) is CH3CI a hydrogen bonding? yes or no?2.) is CH3CI dipole-dipole interactions? Yes or no?3.) is CH3CI a london dispersion forces? Yes or no? The journal entry to record $1600 of direct labor and $350 of indirect labor incurred will include debit(s) to the ________. when it comes to your natural positive/negative ratio when ineracting with students, long term patterns mattermore than single interactions The table below describes several powers of the U.S. government.1 2 3Senate confirms nominations President nominates judgesSupreme Court declares lawsunconstitutionalSupreme Court hears casesbetween statesCongress overrides vetoesPresident vetoes legislationWhat has been the lasting impact of the structure of government illustrated in the table?Government power has been limited to prevent any branch from exercising total control.State governments have lost almost all of their powers to the federal government.The structure has allowed the judicial branch to exercise executive powers.The structure has prevented the executive branch from having any real power. Find the volume of the described solid of revolution or state that it does not exist.The region bounded byf(x)equals=x Superscript negative 7x7 and the x-axis on the interval [11,infinity[infinity]) is revolved about the x-axis. find the measure of each angle indicated 82A)82b)80c)62D)60 How do you get an A * in A level maths? 1. If 720.0 g of steam at 400.0 C absorbs 800.0 kJ of heat energy, what will be its increase in temperature? Endo or Exothermic?