Ivanna made 323 for 17 hours of work. At the same rate, how much would she make for 13 hours of work?

Option C, The two packages have the same volume because their bases are congruent and they have the same height.

Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically measured in cubic units, such as cubic meters or cubic centimeters.

The volume of cylinder A = πr²h

= 6πr²

The volume of cylinder B= πr²h

= 6πr²

As both the cylinder have same values, Option C, The two packages have the same volume because their bases are congruent and they have the same height.

To learn more about Volume form given link.

https://brainly.com/question/23477586

#SPJ1

Here is the completed table:

Total relative frequency

Pets         Men     Women   Total

Dogs         20%     30%       50%

Cats           13.8%    20.8%     34.6%

Birds           6.2%    9.2%     15.4%

Total             40%     60%     100%

Percentage is the ratio of an amount out of a total amount. The sign that represents percentage is %. In order to convert a value to a percentage, multiply the value by 100.

Relative frequency measures how often a value appears relative to the sum of the total values.

Relative frequency of men that have dogs = (26/130) x 100 = 20%

Relative frequency of women that have dogs = (39/130) x 100 = 30%

Relative frequency of those that have dogs = 20% + 30% = 50%

Relative frequency of men that have cats = (18/130) x 100 = 13.8%

Relative frequency of women that have cats = (27/130) x 100 = 20.8%

Relative frequency of those that have cats = (45/130) x 100 = 34.6%

Relative frequency of men that have birds = (8/130) x 100 = 6.2%

Relative frequency of women that have birds = (12/130) x 100 = 9.2%

Relative frequency of those that have birds = 6.2% + 9.2% = 15.4%

Relative frequency of males = (52/130) x 100 = 40%

Relative frequency of females = (78/130) x 100 = 60%

To learn more about relative frequency, please check: https://brainly.com/question/26577861

#SPJ1

Answer:

PHOTO MATH KANALANG

Step-by-step explanation:

BAKA MERON ANS DON

Based on the fact that the cross-country course is shaped like a parallelogram, the total length of the cross-country course is 10 miles.

The total length of the cross-country course will be the perimeter of the shape that the course is shaped like.

As this course is shaped like a parallelogram, the total length would therefore be:

= Base + Base + Length + Length

Solving gives:
= 3 + 3 + 2 + 2

= 6 miles

Find out more on perimeter at https://brainly.com/question/2846975

#SPJ1

Answer:

x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)

Step-by-step explanation:

Factor each equation.

x^2-x-42= (x-7)(x+6)

x^2+x-56= (x-7)(x+8)

The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.

(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.

Answer:

The answer would be, 0.454

Step-by-step explanation:

1 pound= 0.454 kilogram

Answer:

1kg = 2.20462262 rounded 2.20

Answer:

4.2 in

Step-by-step explanation:

let us first visualize the sail as a triangular shape

the angle of the triangle from top is 40°

the height of the triangle is give as 5 in

we can apply SOH CAH TOA to solve for the base of the sail

the opposite = the base of the sail

the adjacent = the height of the sail= 5 in

therefore

Tan∅= Opp/Adj

Tan(40)= Opp/5

Opp= Tan(40)*5

Opp= 0.8390*5

Opp= 4.195 in

Hence the width of the sail is 4.2 in to the nearest tenths

Answer:

4.2

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

102 + 32 = 134

180 - 134 = 46

x = 46

Answer:

8) x + 20

9) 20x

10) 20/x

11) x-20

Step-by-step explanation:

8) x + 20

9) 20x

10) 20/x

11) x-20

Consequently, the circle's diameter is 28π√3.

The radius of a circular or other curved geometry form refers to its length. It is the border across any two-dimensional circle surface measured linearly in one dimension.

Since the circle is divided into six equal pieces, the shaded region represents one-sixth of the total area of the circle. Therefore, the total area of the circle can be found by multiplying the shaded area by 6:

Total area of circle = 6 × 98π = 588π

The formula for the area of a circle is A = πr², where r is the radius of the circle. Solving for r, we get:

r² = A / π = 588π / π = 588

r = √588 = 2√147 = 2√3 × √49 = 14√3

C = 2r is the method for calculating a circle's diameter. Plugging in the value of r, we get:

C = 2π(14√3) = 28π√3

Therefore, the circumference of the circle is 28π√3.

To know more about Circumference visit:

https://brainly.com/question/20489969

#SPJ1

9514 1404 393

Answer:

  12.  13

  14.  A

  15.  B

Step-by-step explanation:

I choose to work 3 problems to show how multiplication and division work with exponents.

__

12. You are looking for the coefficient of the x² term. It will be the sum of the coefficients of partial products that result in the variable being x². Those partial products will be of the form (ax²)(b) or (ax)(bx).

We note there are both x² and x terms in the first factor, but only x terms in the second factor. So, the x² term of the product will be ...

  (2x²)(4) +(5x)(x) = (8 +5)x² = 13x²

The missing coefficient is 13.

__

14. The rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (a^b)/(a^c) = a^(b-c)

The given expressions can be simplified as ...

Koby

  \(\dfrac{w^3\cdot w^5}{(w^2)^4}=w^{3+5-2\cdot4}=w^0=1\)

Paulo

  \((m^5)^2\cdot (m^{-3})^3=m^{5\cdot2+(-3)\cdot3}=m^1=m\)

Kobe Only wrote an expression equivalent to 1.

__

15. The given expression is of the form

  \(\dfrac{\text{dividend}}{\text{divisor}}=\dfrac{14x^2+10x-7}{2x}\\\\=\dfrac{14x^2}{2x}+\dfrac{10x}{2x}-\dfrac{7}{2x}=(7x+5)+(-\dfrac{7}{2x})=\text{(quotient)+(remainder)}\)

The true statement is ...

  the quotient has a remainder of -7/(2x)

__

Additional comment

Strictly speaking, a division problem can be expressed as ...

  dividend = (divisor)(quotient) + remainder

In this instance, this would be ...

  14x² +10x -7 = (2x)(7x +5) -7

which is to say that -7 is the remainder. The term -7/(2x) is actually part of the quotient.

The above (quotient) + (remainder) should actually be ...

  (quotient) +(remainder)/(divisor)

You will notice the answer choices have the terms "dividend" and "divisor" swapped, and that the degree of the binomial quotient is 1, not 2. Thus the only choice that begins to make sense is the one highlighted above--even though it, too, is technically incorrect.

Solve for \(t\) when \(h=0\), given \(v_0=0\) and \(h_0 = 4\).

\(0 = -16t^2 + 4 \implies 16t^2 = 4 \implies t^2 = \dfrac14 \implies t = \dfrac12\)

so it will take half a second for the ball to hit the ground.

Considering the definition of perpendicular line, the equation of the perpendicular line that passes through the point (x, y) = (3, 1) and is perpendicular to the line 2x + 3y = 12 is y= 3/2x -7/2.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 2x+3y= 12. Expressed in the form y = mx + b, you get:

3y= 12 - 2x

y= (-2x +12)÷ 3

y= -2/3x +4

Since multiplying the slopes of two perpendicular lines, you get -1, and the line has a slope of -2/3, you get:

-2/3× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-2/3)

slope perpendicular line= 3/2

The line passes through the point (3, 1). Replacing in the expression for parallel line:

1= 3/2× (3) + b

1= 9/2 + b

1- 9/2 = b

-7/2= b

Finally, the equation of of perpendicular line is y= 3/2x -7/2.

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

Answer:

37÷2=18.5... radius is half the circumference

Answer:

The p-value of the test is 0.0013.

Step-by-step explanation:

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that \(\mu = 12\)

Standard deviation of 0.5 kilograms.

This means that \(\sigma = 0.5\)

Sample of n = 4 specimens. Observed statistic is Xbar (average) = 11.25.  

This means that \(n = 4, X = 11.25\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{11.25 - 12}{\frac{0.5}{\sqrt{4}}}\)

\(z = -3\)

P-value:

Probability of finding a sample mean belo 11.25, which is the p-value of z = -3.

Looking at the z-table, z = -3 has a p-value of 0.0013, thus the this is the p-value of the test.

Answer:

d

Step-by-step explanation:

did da math

Answer:

Bb

Step-by-step explanation:

Answer:

Step-by-step explanation:

Corresponding sides have same ratio:

Correct option is B

Answer: \(99^{\circ}\)

Step-by-step explanation:

So, \(m\angle B=4(31)-25=\boxed{99^{\circ}}\)

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

Read more on isosceles triangle here: brainly.com/question/19238666

#SPJ1

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

For more such questions on number, click on:

https://brainly.com/question/24644930

#SPJ8

\(\text{Let the number be x.}\\\\\text{The expression is}~ (x+8)(x-5)\)

he two numbers that multiply to -35 and add to get -18 are -5 and 3.

To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.

Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:

-5 + 3 = -2

So, -5 and 3 are the two numbers that multiply to -35 and add to -18.

Answer:

6 pieces can be cut from the string.

Answer:

A

Step-by-step explanation:

3^(2+(-5)

3^(-3) : 4^(-2)

1/3³ : 1/4²

1/27 : 1/16

1/27 x 16

16/27

Given information: $\sf\:\csc(x) = 8$, $90° < x < 180° \\$

To find $\sf\:\sin(\frac{x}{2}) \\$, $\sf\:\cos(\frac{x}{2}) \\$, and $\sf\:\tan(\frac{x}{2}) \\$:

Step 1: Rewrite the given information:

$\sf\:\csc(x) = \frac{1}{\sin(x)} = 8 \\$

Step 2: Solve for $\sf\:\sin(x) \\$:

$\sf\:\sin(x) = \frac{1}{8} \\$

Step 3: Use the half-angle identity for $\sf\:\sin(\frac{x}{2}) \\$:

$\sf\:\sin(\frac{x}{2}) = \pm \sqrt{\frac{1 - \cos(x)}{2}} \\$

Since $\sf\:90° < x < 180°$, $\sf\:\cos(x)$ will be negative, so we take the positive square root:

$\sf\:\sin(\frac{x}{2}) = \sqrt{\frac{1 - \cos(x)}{2}} \\$

Step 4: Find $\sf\:\cos(x)$ using the Pythagorean identity:

$\sf\:\sin^2(x) + \cos^2(x) = 1 \\$

Substituting $\sf\:\sin(x) = \frac{1}{8} \\$:

$\sf\:(\frac{1}{8})^2 + \cos^2(x) = 1 \\$

$\sf\:\frac{1}{64} + \cos^2(x) = 1 \\$

$\sf\:\cos^2(x) = 1 - \frac{1}{64} \\$

$\sf\:\cos^2(x) = \frac{63}{64} \\$

Taking the square root of both sides:

$\sf\:\cos(x) = \pm \sqrt{\frac{63}{64}} \\$

Since $\sf\:90° < x < 180°$, $\sf\:\cos(x)$ will be negative, so we take the negative square root:

$\sf\:\cos(x) = -\sqrt{\frac{63}{64}} \\$

Step 5: Use the half-angle identity for $\sf\:\cos(\frac{x}{2})$:

$\sf\:\cos(\frac{x}{2}) = \pm \sqrt{\frac{1 + \cos(x)}{2}} \\$

Since $\sf\:90° < x < 180°$, $\sf\:\cos(x)$ will be negative, so we take the negative square root:

$\sf\:\cos(\frac{x}{2}) = -\sqrt{\frac{1 + \cos(x)}{2}} \\$

Step 6: Find $\sf\:\tan(\frac{x}{2}) \\$ using the identity $\sf\:\tan(\frac{x}{2}) = \frac{\sin(\frac{x}{2})}{\cos(\frac{x}{2})} \\$:

$\sf\:\tan(\frac{x}{2}) = \frac{\sqrt{\frac{1 - \cos(x)}{2}}}{-\sqrt{\frac{1 + \cos(x)}{2}}} \\$

Simplifying:

$\sf\:\tan(\frac{x}{2}) = -\sqrt{\frac{1 - \cos(x)}{1 + \cos(x)}} \\$

Therefore, the values are:

$\sf\:\sin(\frac{x}{2}) = \sqrt{\frac{1 - \cos(x)}{2}} \\$

$\sf\:\cos(\frac{x}{2}) = -\sqrt{\frac{1 + \cos(x)}{2}} \\$

$\sf\:\tan(\frac{x}{2}) = -\sqrt{\frac{1 - \cos(x)}{1 + \cos(x)}} \\$

Please note that the sign of the values may change depending on the actual value of $\sf\:\cos(x)$, which is negative in this case.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

E(m) = 2000 + 0.15( m - 20000) is the function calculates his monthly earnings.

The composition of a function is an operation in which two functions say f and g generate a new function say h in the sort of manner that h(x) = g(f(x)). It method right here characteristic g is carried out to the characteristic of x. So, basically, a feature is implemented to the end result of another feature.

In systems engineering, software engineering, and pc science, a function version or practical model is an established illustration of the capabilities (activities, movements, procedures, operations) inside the modeled system or situation vicinity.

Learn more about composition functions here: https://brainly.com/question/10687170

#SPJ2

Answer:

11 inches

Step-by-step explanation:

The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.

Subjects are the different sets of information which is studied.

9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.

The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.

Thus, the correct option is C, 9th graders in her school.

Learn more about subjects, here:

https://brainly.com/question/23548366

#SPJ1