Multiply. Enter the product in simplest form.
3/4 x 2

Answer:

-60x+(-85y)

Step-by-step explanation:

The bar height for the price range of less than $5,000 will increase by 200.

In the given histogram, the x-axis represents the car prices ranging from $0 to $40,000, while the y-axis represents the number of cars sold over 10 years, ranging from 0 to 700.

Based on the provided information, we can observe that between the price ranges of $20,000 and $30,000, the bar height exceeds the maximum y-axis value of 700. Similarly, between the price ranges of $5,000 and $10,000, and $40,000 and $45,000, the bar height is indicated as 200.

If the car salesman decides to include cars with prices less than $5,000 and projects selling 200 of them over the next 10 years, the distribution will be affected as follows:

The bar representing the price range of less than $5,000 will increase in height by 200, indicating the projected sale of those additional cars. This means that the histogram will show a higher number of cars sold in the lower price range, reflecting the demand from students and the inclusion of more affordable cars in the sales strategy. This modification will result in a redistribution of the bars, with an additional bar added to represent the projected sales of cars below $5,000.

Overall, the distribution in the histogram will be affected by an increase in the bar height for the price range of less than $5,000 by 200 units, indicating the projected sale of those additional affordable cars over the next 10 years.

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Answer:

g(x) = -2 • 5^x

Step-by-step explanation:

the reflection across the x-axis makes the equation negative. the 2 is the verticals stretch.

(also got the answer correct on a test)

The function f(x) after a vertical stretch by a factor of 2 and a reflection across the x-axis becomes \(\rm g(x) =-2\times (5)^x\) and this can be determined by using the rules of transformation.

Given :

\(\rm f(x) = 5^x\)

The following steps can be used in order to determine the function after the given transformation:

Step 1 - The rules of transformation can be used in order to determine the function after the given transformation.

Step 2 - Write the given function.

\(\rm f(x) = 5^x\)

Step 3 - Now, stretch the graph of the above function vertically by a factor of 2. So, the function of the graph obtained is:

\(\rm h(x) =2\times (5)^x\)

Step 4 - Now, take the reflection of the graph obtained in the above step about the x-axis. So, the function of the graph obtained is:

\(\rm g(x) =-2\times (5)^x\)

Therefore, the correct option is D).

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The correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

To find the unknown value, k, in the proportion (k)/(1.2) = (4)/(3), we can cross-multiply and solve for k.

cross-multiplying the proportion, we have:

3k = 4 * 1.2

Multiplying the numbers:

3k = 4.8

To isolate k, we divide both sides of the equation by 3:

k = 4.8 / 3

Evaluating the division, we find:

k ≈ 1.6

Therefore, the correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

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The number of phones sold would be 20

And, the number of accessories sold would be 26.

Used the concept of an equation that states,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that,

Kylie earns a $15 commission for every phone she sells and a $2 commission for every accessory she sells.

And, On a given day, Kylie made a total of $352 in commission and sold 6 more accessories than phones.

Let us assume that,

The number of phones sold = x

And, the number of accessories sold = y

Hence, the equation becomes,

15x + 2y = 352   .. (i)

And, y = x + 6  .. (ii)

Substitute the value of y in (i);

15x + 2y = 352  

15x + 2 (x + 6) = 352

15x + 2x + 12 = 352

17x + 12 = 352

17x = 352 - 12

17x = 340

x = 340/17

x = 20

From (ii);

y = x + 6

y = 20 + 6

y = 26

Therefore,  The number of phones sold = 20

And, the number of accessories sold = 26

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Answer:

A, C, E

Step-by-step explanation:

Right on Edge

Given:

Factor: x+3

To find the zeros:

Using synthetic division,

So, the polynomial can be written as,

Let us consider,

Put x=2, we get

Hence, x=2 is the other one zero of the polynomial.

Put x=2/3, w get

Hence, x=2/3 is the other one zero of the polynomial.

Hence, the zeros of the polynomial are,

b can be written as a linear combination of a1 and a2 with weights x1 = 3 and x2 = 3.
Thus, (b) x1 = 3, x2 = 3 is the right response.

To determine whether b can be written as a linear combination of a1 and a2, we need to find weights x1 and x2 such that x1a1 + x2a2 = b.

Here a1 = [2 6 -4], a2 = [-2 6 6], and b = [0 36 6], we have the following system of equations:

2x1 - 2x2 = 0
6x1 + 6x2 = 36
-4x1 + 6x2 = 6

Solving for x1 and x2, we have:

From the first equation, we can write x1 = x2.

Substituting x1 = x2 in the second equation, we get:
6x1 + 6x1 = 36
12x1 = 36
x1 = 3

Since x1 = x2, we have x2 = 3 as well.

Now, substituting the values of x1 and x2 in the third equation, we get:
-4(3) + 6(3) = 6
-12 + 18 = 6
6 = 6

Since the system is consistent, there is a solution. Therefore, b can be written as a linear combination of a1 and a2 with weights x1 = 3 and x2 = 3.

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Answer:

x=65

Step-by-step explanation:

That is the answer.

Answer:

88

Step-by-step explanation:

18/2=9

176/2=88

Hope this helps! :)

When 35073 seconds is rounded to three significant figures, the answer value is 35,100 seconds.

In scientific notation, this can be expressed as 3.51 x 10^4 seconds.

Round to three significant figures means that we consider the three most significant digits of the number and adjust the value based on the digit in the fourth position.

In this case, the fourth digit is 7, which is greater than or equal to 5. As a result, we round up the third significant digit, which is 5, to the next higher number.

Therefore, the final rounded value of 35,100 seconds is obtained.

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The correct option, for the sum of the series is

d. its sum is 1/10

To find the sum of the series Σ 1 / (n+9)(n+10), we can rewrite it as follows:

Σ 1 / (n+9)(n+10) * 1(n + 9) = Σ (1 / (n+9)) - (1 / (n+10))  * 1(n + 9)

Now, let's evaluate the terms of the series:

When n = 0:

Term 1: 1 / (0+9) = 1/9

Term 2: 1 / (0+10) = 1/10

Term 3:  1(0 + 9) = 9

Therefore, the sum of the series when n = 0 is:

(1/9 - 1/10) * 9 = 1/90 * 9

So, the sum of the series when n = 0 is 1/10.

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The correct anwer is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The two inequalities √4<√5<√√55 and √8<2.9<√√9. are true.

√4<√5<√√55  → 2 < 2.23 < 7.41

√8<2.9<√√9    → 2.82 < 2.9 < 3

Therefore correct answers is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.

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The standard deviation of this sample of distances is 11.69.

The standard deviation of this sample of distances is 11.69. To find the standard deviation of the sample of distances, we can use the formula for standard deviation given below; Standard deviation.

=\(√[∑(X−μ)²/n]\)

Where X represents each distance, μ represents the mean of the sample, and n represents the number of distances. Therefore, we can begin the calculations by finding the mean of the sample first: Mean.

= (2+32+1+27+16+18)/6= 96/6

= 16

This mean tells us that the average distance traveled by each of the employees is 16 Miles. Now, we can substitute the values into the formula: Standard deviation

\(\(= √[∑(X−μ)²/n] = √[ (2-16)² + (32-16)² + (1-16)² + (27-16)² + (16-16)² + (18-16)² / 6 ]= √[256+256+225+121+0+4 / 6]≈ √108\)

= 11.69\)

(rounded to two decimal places)

The standard deviation of this sample of distances is 11.69.

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Answer:

3.74

Step-by-step explanation:

First I would put the equation in a long division form.

Then, I would find the multiples for 22 to get the amount of 82.28.

At first we got 88, 88 isn't the factor of 22 so I find the closest one which is 22×3=66. Then, we would subtract 66 from 82 getting us the difference of 16. Then you bring down the two to be able to divide once again. To remember these steps I use DMSB and R meaning Dangerous monkey swipes bananas this also means divide, multiply, subtract, bring down and repeat. To use these steps I restart meaning I do the whole process all over again. In this case I will find if 22 is a factor of 162 and it isn't so, I find the closest one which is 154= 22×7=154 this is the part I would do division. Then, I would multiply 22×7 to get 154 and subtract it with 162 equaling 8. Like the process says I bring the next number down which is 8. Then I repeat, now that I know 22 is a factor of 88 we put the multiple in the top which is 4 then, we multiply 22×4=88. At last we subtract 88 by 88 getting 0 meaning the end of the process. And also we pull the decimal point on the uppper top in the middle of the quotient.

I would use long division to solve this :)

               3.74

      22/ 82.28

           -66 ↓↓    

            162  ↓

           -154  ↓    

             088

              -88

                 0

I hope this helps and if you didn't notice I also answered your other question with long division too :D

The value of x in the triangle is 17.46.

We have,

To find the value of x we will use the sin identities.

Now,

Sin Ф = Perpendicular / Hypothenus ______(1)

So,

Perpendicular = 11

Hypotenuse = x

Ф = 39

Substituting in (1)

sin 39 = 11/x

x = 11/sin 39

x = 11/0.63

x = 17.46

Thus,

The value of x is 17.46.

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Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Represent the first statement

Let the number be n

twice a number is given as:

difference between twenty and twice the number is given as:

Hence, the answer is 20-2n

Answer:

\(\{-12,12\}\)

Step-by-step explanation:

\(-|-x|=-12\\|-x|=12\\|x|=12\\\therefore x\in\{-12,12\}\)

The probability that Joe  will take no more than 7 tries to pass it is calculated as 0.7712.

Given: Every time Joe takes the fourth statistics quiz, he has a 19% chance of passing.

Mean = μ = 1/p = 1/(19/100) = 100/19 ≈ 5.26

Variance = σ² = (1-p)/p² = \(\frac{1-(19/100)}{19/100}^{2}\) 8100/361 ≈ 22.4376

Standard Deviation = σ = \(\sqrt{ \frac{1-p}{p^2} }\) = \(\sqrt{ \frac{1-(19/100)}{(19/100)^2} }\) = 90/19 ≈ 4.736

P(X = 7) = 0.05366

P(X<7) = 0.7175

P(X≤7) = 0.7712

Therefore, the probability that Joe  will take no more than 7 tries to pass it is 0.7712.

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The given information shows that the mayor running for re-election claims that during his term, average municipal taxes have fallen by $250. A conscientious statistician wants to test this claim. He surveys 45 of his neighbors and finds that their taxes decreased (in dollars) as follows:297, 151, 220, 300, 222, 260, 186, 278, 229, 227, 252, 183, 222, 222, 292, 265, 306, 223, 240, 230, 295, 286, 353, 316, 235, 238, 299, 291, 283, 188, 318, 238, 213, 223, 302, 190, 270, 314, 250, 231, 301, 279, 233, 195, 270.

The statistician assumes a population standard deviation of $47.The value of the standard deviation is given as σ = $47Sample Size(n) = 45So, sample mean is given by

\= x¯ = ∑ xi/n= 10923/45= 242.733If the claim of the mayor is true, then the sample mean is less than the population mean by

$250.µ - x¯ = $250µ = x¯ + $250 = 492.733According to the Central Limit Theorem (CLT), the distribution of sample means of sample size n is normal with mean µ and standard deviation σ/√nSo, the standard deviation of the sample means = σ/√n= 47/√45= 7.004Using the standard normal table, the probability of getting this value of Z is approximately 0.0001.So, the statistician can reject the mayor's claim.Therefore, the statistician should reject the mayor's claim as the calculated value of Z exceeds the critical value of Z* and the p-value is smaller than the significance level. Thus, the statistician should reject the mayor's claim as the null hypothesis is false.

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Step-by-step explanation:

According to the figure, In triangle ABC and DAC

So, triangle ABC is congruent to triangle DAC by

SAS congruence rule...

hope it helps!! (~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~

Answer:

The measure of B would be 60 degrees

Step-by-step explanation:

add me as a friend if i am right

Answer:

20>10

Step-by-step explanation:

I geuss that would be it. Im not exactly for sure on what your asking.

Answer:

\(\mathbf{6xe^xy+y^2e^x = C}\) which implies that C is the integrating factor

Step-by-step explanation:

The correct format for the equation given is:

\(y(6x+y +6)dx +(6x +2y)dy=0\)

By the application of the general differential equation:

⇒ Mdx + Ndy = 0

where:

M = 6xy+y²+6y

\(\dfrac{\partial M}{\partial y}= 6x+2y+6\)

and

N = 6x +2y

\(\dfrac{\partial N}{\partial x}= 6\)

∴

\(f(x) = \dfrac{1}{N}\Big(\dfrac{\partial M}{\partial y}- \dfrac{\partial N}{\partial x} \Big)\)

\(f(x) = \dfrac{1}{6x+2y}(6x+2y+6-6)\)

\(f(x) = \dfrac{1}{6x+2y}(6x+2y)\)

f(x) = 1

Now, the integrating factor can be computed as:

\(\implies e^{\int fxdx}\)

\(\implies e^{\int (1)dx}\)

the integrating factor = \(e^x\)

From the given equation:

\(y(6x+y +6)dx +(6x +2y)dy=0\)

Let us multiply the above given equation by the integrating factor:

i.e.

\((6xy+y^2 +6y)dx +(6x +2y)dy=0\)

\((6xe^xy+y^2 +6e^xy)dx +(6xe^x +2e^xy)dy=0\)

\(6xe^xydx+6e^xydx+y^2e^xdx +6xe^xdy +2ye^xdy=0\)

By rearrangement:

\(6xe^xydx+6e^xydx+6xe^xdy +y^2e^xdx +2ye^xdy=0\)

Let assume that:

\(6xe^xydx+6e^xydx+6xe^xdy = d(6xe^xy)\)

and:

\(y^2e^xdx +e^x2ydy=d(y^2e^x)\)

Then:

\(d(6xe^xy)+d(y^2e^x) = 0\)

\(6d (xe^xy) + d(y^2e^x) = 0\)

By integration:

\(\mathbf{6xe^xy+y^2e^x = C}\) which implies that C is the integrating factor

Answer:

a. The scale factor of the smaller cylinder to the larger cylinder is the ratio of their radii, which is 4/6 or 2/3.

b. The circumference of the base of a cylinder is given by 2πr, where r is the radius of the base. Thus, the ratio of the circumferences of the bases of the two cylinders is:

(2π)(4)/(2π)(6) = 4/6 = 2/3

c. The lateral area of a cylinder is given by the formula 2πrh, where r is the radius of the base and h is the height. The ratio of the lateral areas of the two cylinders is:

(2π)(4)(9)/(2π)(6)(9) = 4/6 = 2/3

d. The volume of a cylinder is given by the formula πr²h. Thus, the ratio of the volumes of the two cylinders is:

(π)(4²)(9)/ (π)(6²)(9) = 16/36 = 4/9

e. If the volume of the smaller cylinder is 144π cm³, then we can use the formula for the volume of a cylinder to solve for the height of the smaller cylinder:

144π = π(4²)h

h = 9 cm

Since the two cylinders are similar, we know that the ratio of their heights is the same as the ratio of their radii, which is 2/3. Thus, the height of the larger cylinder is:

(2/3)(9) = 6 cm

Using the formula for the volume of a cylinder, we can now calculate the volume of the larger cylinder:

V = π(6²)(6) = 216π cm³

Step-by-step explanation:

pa brainliest po.

To measure central tendencies in the data collected from the Consumer Price Index (CPI), the dental director should use measures of central tendency, such as the mean, median, and mode.

The mean is the average of a set of numbers and is calculated by adding all the numbers together and then dividing by the total number of numbers. The median is the middle number when the numbers are placed in order from least to greatest. The mode is the number that appears most often in a set of numbers.

Using these measures of central tendency will allow the dental director to gain a better understanding of the CPI data, as they will be able to identify the center point of the data and also see how frequently particular values appear. This can help in making informed decisions about policies and other changes.

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If the test scores are normally distributed then the exam score corresponding to a standard score of -0.95 is 83.15  .

In the question ,

it is given that ,

the mean of the normally distributed score is (μ) = 86 ;

the standard deviation of the normally distributed is(σ)  = 3 ;

we have to find the exam score(z score) corresponding to the standard score of -0.95 .

we know that z-score for the population mean (μ) and standard deviation(σ) is

Z = (x - μ)/σ

rewriting ,

we get ,

x = μ + Zσ

given that standard score (z) is = -0.95 .

the exam score corresponding to z = -0.95 can be calculated using the formula ,

x = μ + Zσ

Substituting Z = -0.95 , μ = 86 and σ = 3 ;

we get ,

x = 86 + (-0.95)×3

x = 86 - 2.85

x = 83.15

Therefore , the exam score corresponding to the standard score of "-0.95" is 83.15  .

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Answer:

32

Step-by-step explanation:

every time we are multiplying by -2 so if we do -16 x -2 we will get postive 32

Answer:

36

Step-by-step explanation:

it is a pattern of times -2

Answer:

true

Step-by-step explanation:

Answer:

Three months to five years

Step-by-step explanation:

look it up