My guys do you thing pls help I will give brainliest

Answer:

Three and two I believe

Step-by-step explanation:

The statements that are both true are: a. TU is perpendicular MN and MN || PQ by using the concept  parallel and perpendicular line

a. For TU to be perpendicular to MN, the angle between them must be 90 degrees. Additionally, for MN to be parallel to PQ, their corresponding angles must be congruent.

b. This statement suggests that PQ is not perpendicular to TU and PQ is parallel to RS. Perpendicular lines have angles of 90 degrees between them, and parallel lines have congruent corresponding angles. The given conditions do not align with these properties.

c. This statement asserts that MN is parallel to PQ and UT is not perpendicular to RS. There is no information about UT and RS being parallel or perpendicular.

d. This statement conflicts with statement a, which has been identified as true.

Thus, the only statements both true are a. TU is perpendicular MN and MN || PQ.

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The function that describes the fund that was raised is 0.05³ - 30x - 12425

The revenue is  R (z) = 0.05x³ + 75

the cost = C(z) = 30x + 12,500.

Please note that the equation for revenue missed a sign in the question so I made use of the plus sign

We would have revenue - cost

Hence ( 0.05x³ + 75) - (30x + 12,500)

We would open the bracket

0.05x³ + 75 -30x -12500

We would take the like term to

0.05³ - 30x -12500 + 75

0.05³ - 30x - 12425

The function that describes the fund that was raised is 0.05³ - 30x - 12425

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Answer: F(x)=0.05x^3-30x-12,575

Step-by-step explanation:

Correct on test.

The solution is of the form y = tr where r = 5/14 for the given differential equation.

Given differential equation:

t²y''- 10ty' + 28y = 0

Let's assume the solution is of the form y = tr. We need to find the values of r for which this form of the solution holds.Let's differentiate the solution y = tr with respect to t in order to solve for the first and second derivatives of y as follows:

y = tr.....(1)

First derivative of y w.r.t t is given by:

y' = r.....(2)

Second derivative of y w.r.t t is given by:

y'' = 0.....(3)

Substituting equations (1), (2), and (3) in the given differential equation, we get:

(t² * 0) - 10t * r + 28(tr) = 0

Simplifying, we get:

(28r - 10) * t = 0

Since t > 0, then the coefficient of t must be zero. Thus,

28r - 10 = 0

=> 28r = 10

=> r = 10/28 (reduced)

=> r = 5/14

So, the value of r is 5/14 when the given differential equation has solutions of the form y = tr for t > 0.

In summary, the solution is of the form y = tr where r = 5/14 for the given differential equation.

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The sample size of 36 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have:

A sample has a sample proportion of 0.3.

Level of confidence = 95%

At the same confidence level, the larger the sample size, the narrower the confidence interval.

As we have a 95% confidence interval the sample size should be lower.

The sample size from the option = 36 (lower value)

Thus, the sample size of 36 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.

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Answer:

the answer is 48

Step-by-step explanation:

Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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Answer:y=9

Step-by-step explanation:

Answer:

Area of a rectangle is given by product of length and width. Hence width is area divided by length.

\( \sf{ \boxed{ as \ area \ is \: 5 \frac{3}{8} = \frac{4}{38}}}\)

Answer:

Solution given:

length [L]=558

width[W]=112

Now

area of rectangular patio :LW=558*112

=62496

Applying the distributive property the given expression is equal to 10.

The properties of multiplication are:

For evaluating the given question, you should apply the distributive property.

See that the question gives  2*(3 + 1) + 2. Thus, from the distributive property, you have:

2*(3 + 1) + 2

6+2+2

8+2 =10

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Answer:

20.56 in

Step-by-step explanation:

The perimeter is the length of the outside of the figure.

This consists of 2 semicircles and 2 straight parts of 4 in

The 2 semicircles can be thought of as 1 circle with circumference

C = 2πr ( r is the radius )

Here diameter = 4 so r = 4 ÷ 2 = 2, then

C = 2 × 3.14 × 2 = 4 × 3.14 = 12.56 in

Thus

perimeter = 12.56 + 4 + 4 = 12.56 + 8 = 20.56 in

Answer:

Step-by-step explanation:

Let the distance between police station and the fire station be x.

According to question we have:

It can be expressed as:

Solve the equation for x:

Correct choice is C

A. directrix of parabola is x=3

B. A(3,2)

C. since vertex is the midpoint between focus F(-5,2) and A(3,2), so use midpoint formula to find the coordinate of vertex. The coordinate of vertex is V(-1,2)

D. the parabola will be open to the left, because vertex V(-1,2) is located on the right side of the focus F(-5,2).

E. since p is the distance from vertex to focus, so p= |-1-(-5) |=4. the value of p is always positive because of the modulus.

F. p = | -1-(-5) | =4

G.

\( {(y - k})^{2} = - 4a(x - h) \\ {(y - 2})^{2} = - 4( 4)(x - ( - 1)) \\ {(y - 2})^{2} = - 16(x + 1)\)

H. do it in geogebra

I. do it in geogebra

J. refer the image attached

Answer:

75

15:20

75:100

20*5=100

15*5=75

Step-by-step explanation:

Hope this helps!!

Mark me brainliest!!

Answer:

6.40

Step-by-step explanation:

8 decreased by 20% is 6.40

Amy should collect a sample data size of 50, but she does not have enough time. So, she collected those from her three different classes’ students. The method used here is called stratified sampling.

Stratified Sampling is a type of sampling technique where the researcher divides the entire population into homogeneous subgroups and then selects the final subjects randomly from each subgroup. This method ensures that the sample selected represents the population equally well. In stratified sampling, the population is divided into subgroups, called strata, and then a random sample is drawn from each stratum to form the final sample. This type of sampling method is used when a population has distinct subgroups that differ in some important ways. It is the most appropriate method when the population is heterogeneous and contains several sub-groups that vary in characteristics. This method ensures that the sample is representative of the population as a whole.

Amy chose stratified sampling method. The reason behind it is that she had to collect a sample data size of 50. The population from which she had to take the sample was large. To simplify the sampling process, she divided the population into three subgroups: students from her three different classes, and then randomly selected the subjects from each class. This method is called stratified sampling. The benefit of using stratified sampling is that it ensures that the sample is representative of the population as a whole. It provides better accuracy and precision of results.

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From the give expressions, the rational one are numbers 1 and 3 and the irrational ones are numbers 2 and 4 respectively

Rational numbers are numbers that can be expressed as a ratio or whole number while the irrational numbers cannot be expressed as ratios or whole numbers

The given expressions are

1)  2√9 + 8

= 2*3+8

6+8

=14     This a Rational number because it shows a whole number

2)   2√7 +8

This is irrational hence it cannot be expressed to lowest term

3)    3√18√2

= 3*√18*2

=3*√36

=3*6

=1 8

This is rational because it can be expressed to its lowers term and forms a whole number

4) 2√15√3

= 2*√45

= 2*√9√3

=2*3*√3

=6√3

This is irrational because it does not form a whole number

In conclusion, the rational numbers show whole numbers while the irrational numbers show none whole numbers

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Answer:

3811

Step-by-step explanation:

37X100= 3700

37X3=111

so 3700+ 111= 3811

The final temperature of the liquid is 4°C.

Remember that two real numbers are called opposites if their sum is equal to zero, so, A and B are opposites if:

A + B = 0

And neither A or B are zero.

Here the initial tempreatuire is -4°C and the final temperature is T, and it is the opposite of the initial one, then we can write:

-4°C + T = 0

T = 4°C

That is the final temperature.

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Using proportions, it is found that the scale of dilation is of \(\frac{3}{4}\).

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The length of LM changed from 12 to 9, hence:

\(\frac{9}{12} = \frac{3}{4}\).

The length of MN changed from 8 to 6, hence:

\(\frac{6}{8} = \frac{3}{4}\).

Thus, the scale of dilation is of \(\frac{3}{4}\).

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The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

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Answer:

A) 24

Step-by-step explanation:

Answer:

m = 24

Step-by-step explanation:

The original expression \($\frac{2}{\sqrt[3]{4} \sqrt[3]{32}}$\) was rationalized by multiplying both numerator and denominator by \($\sqrt[3]{4} \sqrt[3]{2}$\), and then dividing numerator and denominator by \($\sqrt[3]{4}$\).

\($\frac{2}{\sqrt[3]{4} \sqrt[3]{32}} = \frac{\sqrt[3]{8}}{4}$\)

Minimum possible value of \($ab = 32$\)

\(= \frac{\sqrt[3]{4} \sqrt[3]{8}}{\sqrt[3]{4} \sqrt[3]{4} \sqrt[3]{2}}$= \frac{\sqrt[3]{8}}{\sqrt[3]{4} \sqrt[3]{2}}$= \frac{\sqrt[3]{8}}{4}$\)

We start with the given expression, \($\frac{2}{\sqrt[3]{4} \sqrt[3]{32}}$\), which is in the form \($\frac{p}{qr}$\). To rationalize the denominator, we need to multiply both numerator and denominator by qr (which is \($\sqrt[3]{4} \sqrt[3]{2}$\) in this case). This gives us\($\frac{\sqrt[3]{4} \sqrt[3]{8}}{\sqrt[3]{4} \sqrt[3]{4} \sqrt[3]{2}}$\). We can simplify this expression further by dividing both numerator and denominator by \($\sqrt[3]{4}$\), giving us \($\frac{\sqrt[3]{8}}{\sqrt[3]{2} \sqrt[3]{4}}$\). Finally, we can simplify the denominator further by multiplying both numerator and denominator by \($\sqrt[3]{2}$\), giving us the final result of \($\frac{\sqrt[3]{8}}{4}$\). The minimum possible value of ab is 32.

The original expression \($\frac{2}{\sqrt[3]{4} \sqrt[3]{32}}$\) was rationalized by multiplying both numerator and denominator by \($\sqrt[3]{4} \sqrt[3]{2}$\), and then dividing numerator and denominator by \($\sqrt[3]{4}$\). The final result was\($\frac{\sqrt[3]{8}}{4}$\), and the minimum possible value of ab was 32.

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Answer:

We conclude that there is NOT a proportional relationship between the distance the blimp travels and the time it travels.

Step-by-step explanation:

We know if y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the constant of variation.

In our case we are given:

A blimp travels 255 feet in 1/2 minute

here:

y = 255, and x = 1/2 = 0.5

so substituting y = 255 and x = 0.5 in the equation

k = y/x

k = 255 / 0.5

k = 510

A blimp travels 510 feet in 1/6 minute

here:

y = 510 , and x = 1/6

so substituting y = 510 and x = 1/6 in the equation

k = y/x

k = [510] / [1/6]

k = 3060

A blimp travels 3,060 feet in 1 minute

here

y = 3,060, and x = 1

so substituting y = 3,060 and x = 1 in the equation

k = y/x

k = 3,060 / 1

k = 3060

HERE IS THE VARIATION OF THE CONSTANT OF VARIATION:

A blimp travels 255 feet in 1/2 minute

k = 510

A blimp travels 255 feet in 1/2 minute

k = 3060

A blimp travels 3,060 feet in 1 minute

k = 3060

It is clear that the constant of variation does not remain constant.

Therefore, we conclude that there is NOT a proportional relationship between the distance the blimp travels and the time it travels.

Answer:

1 antonym

2 interrogative

3 verb

4 inflection

5 declarative

6 synonym

7 exclamatory

8 pronunciation

9 accent

10 imperative

1) Antonym

2) Interrogative

3) Verb

4) Inflection

5) Declarative

6) Synonym

7) Exclamatory

8) Pronunciation

9) Accent

10) Imperative

Answer:

f(4)=-10

x=0 if g(x)=2

i hope you will understand it

To find the time until they meet, we can use the formula:
time = distance / speed
It will take 6 hours for Trymaine and Thomas to meet.

In this problem, Trymaine and Thomas are 180 miles apart and traveling towards each other. Thomas is traveling at 19 mph, while Trymaine is traveling at 11 mph. We need to find out how long it will take for them to meet.To find the time until they meet, we can use the formula:
time = distance / speed
To apply this formula, we need to find the total speed of the two cars combined. We can do this by adding their individual speeds:
Total speed = 19 mph + 11 mph = 30 mph
Now we can use the formula to find the time until they meet:
time = distance / speed
time = 180 miles / 30 mph
time = 6 hours

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The probability that the sample proportion will be greater than 0.97 is approximately 0.009.

To find the probability that the sample proportion will be greater than 0.97, we can use the sampling distribution of proportions and the central limit theorem.

Given that the probability of an individual playing "Oregon Trail" is 0.94, we can assume that the sample follows a binomial distribution with parameters n = 350 (sample size) and p = 0.94 (probability of success).

The mean of the binomial distribution is given by μ = n * p = 350 * 0.94 = 329, and the standard deviation is σ = sqrt(n * p * (1 - p)) = sqrt(350 * 0.94 * 0.06) ≈ 9.622.

To calculate the probability that the sample proportion is greater than 0.97, we need to standardize the value using the z-score formula: z = (x - μ) / σ, where x is the value of interest.

Plugging in the values, we get z = (0.97 - 329) / 9.622 ≈ -34.053.

Looking up the z-score in the standard normal distribution table, we find that the probability corresponding to 0.97

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Answer:          IQR = 16

Step-by-step explanation:

The given data is 25 th percentile is 64, 50th percentile is 74 and 75 th percentile is 80.

percentage : 25    50   75

 score        : 64    74    80

Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is odd, then the median is  observation

term

If the number of observations is even, then the median is  observation and  observations.

given n=3, middle term is '74'

In this given data the median is (M) = 74

Interquartile range IQR = median of upper half-median of lower half

                                      = 80-64

                                      = 16

                           IQR = 16