a buyer purchased 8 blue shirts and X red shirts. The ratio of blue shirts to red shirts purchased was 2:5. How many red shirts did the buyer purchase?

Answer:

8

Step-by-step explanation:

We have f(x) = x^3 + 5√x. To find the antiderivative F(x) of f(x), we need to find a function whose derivative is f(x). Using the power rule and the formula for the derivative of √x, we can write:

F(x) = ∫f(x)dx = ∫(x^3 + 5√x)dx = (1/4)x^4 + (10/3)x^(3/2) + C

where C is an arbitrary constant of integration.

We are given that F(1) = -9, so we can solve for the constant C:

F(1) = (1/4)(1)^4 + (10/3)(1)^(3/2) + C = -9

C = -9 - (1/4) - (10/3) = -109/12

Therefore, the antiderivative F(x) of f(x) with F(1) = -9 is:

F(x) = (1/4)x^4 + (10/3)x^(3/2) - (109/12)

For more question on antiderivative

https://brainly.com/question/31241893

#SPJ11

The will be less closer to the model

This is because a smaller percentage of students say 5% compared to 10% will give a smaller/ less closely related feed back that can be used in getting a closer model to what they have chosen

Answer:

wheres the end of the question

Step-by-step explanation:

Sam opens a savings account with $800. He saves $50 per month. Assume that he does not withdraw money or make any additional deposits.

Answer:

B

Step-by-step explanation:

given

tanΘ = \(\frac{3\sqrt{5} }{2}\) = \(\frac{opposite}{adjacent}\)

this ratio relates to a right triangle, with hypotenuse h and

legs 3\(\sqrt{5}\) and 2

using Pythagoras' identity in the right triangle

h² = (3\(\sqrt{5}\) )² + 2² = 45 + 4 = 49 ( take square root of both sides )

h = \(\sqrt{49}\) = 7

then

cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{2}{7}\)

The area under the standard normal curve between z=â1.16 and z=â0.03 is 0.3663.

To find the area under the standard normal curve between z = -1.16 and z = -0.03, we will use the following steps:

1. Look up the z-values in the standard normal distribution table (or use a calculator or online tool that provides the corresponding probability values).
2. Subtract the probability value for z = -1.16 from the probability value for z = -0.03.
3. Round your answer to four decimal places.

Step 1: Look up the z-values in the standard normal distribution table.
- For z = -1.16, the corresponding probability value is 0.1230.
- For z = -0.03, the corresponding probability value is 0.4893.

Step 2: Subtract the probability values.
Area = P(-0.03) - P(-1.16) = 0.4893 - 0.1230

Step 3: Round the answer to four decimal places.
Area = 0.3663

So, the area under the standard normal curve between z = -1.16 and z = -0.03 is approximately 0.3663.

Know more about area here:

https://brainly.com/question/15122151

#SPJ11

The probability that none of the 4 light bulbs work is 2.56%.

As per the given information, the probability that an individual light bulb works is 0.6.

Therefore, the probability that it does not work (i.e., fails) is:

1 - 0.6 = 0.4

Since each light bulb works independently of the other light bulbs, the probability that none of the 4 light bulbs work is the product of the individual probabilities that each light bulb fails.

Calculated as,

P(none work) = P(first fails) × P(second fails) × P(third fails) × P(fourth fails)

P(none work) = 0.4 × 0.4 × 0.4 × 0.4

P(none work) = 0.0256

Therefore, the probability that none of the 4 light bulbs work is 0.0256 or approximately 2.56%.

For similar questions on limit,

brainly.com/question/282767

#SPJ4

Answer:A

Step-by-step explanation:

It is a solid line and the area below is shaded so it has to be less than the slope, hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

Its A because you find the slope, -1/3 which is followed by x.  The x intercept is 1 so you do plus one.  Because the line is solid and negative, it makes it a less-than equal to sign.  Hope this helps at all!

Step-by-step explanation:

The inequality that represents the situation is 8.50x < 35 and the pounds of shrimp Luna can buy is 4.

Inequality is a statement that two or more mathematical expressions are unequal.

Inequalities are represented as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), and not equal to (≠).

The cost price of shrimp per pound = $8.50

The total spending budget = $35

Let the number of pounds of shrimp Luna can buy = x

8.50x < 35

x = 4

Thus, the total amount Luna can spend on shrimp is $34 (4 x $8.50), which is less than $35.

Learn more about inequalities at https://brainly.com/question/25275758

#SPJ1

Answer: C

Step-by-step explanation:

12in is 1 ft

652/12 is 54r4

so atlease 55

Three right angles are 270, the rest of two angle are 135 degree for each.

What is right angle triangle explain?

it is not a diamond shape. it is five angles, five sides.

sum of 5 angles is 540

three right angles are 270, the rest of two angle are 135 degree for each.

Learn more about right angle triangle

brainly.com/question/2035699

#SPJ4

Answer: 45.825353255

Step-by-step explanation:

Answer:

Multiplication property

Answer:

$9000

Step-by-step explanation:

I=?

p=$300

R=5*1/100

T=6

I=P*R*T

$300*5/100*6

=$9000

Answer:

The first four do, but the rest do not.

Step-by-step explanation:

This is because numbers 1 to 4 are one of 4 equal shapes making up the whole.

Answer:

No

Step-by-step explanation:

No, when you state 1/4  that means 1 of 4 equal sized parts

One the bottom row, they the two on the right are not divided into equal sized parts.

The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.

It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.

Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:

= 2.3 × 20^7

= 2.3 × e^7

= 2.3e7

The correct option is A.

Learn more about scientific notation on:

brainly.com/question/106363

#SPJ1

Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?

a. 2.3e^7

b. 2.3 × 10e^7

c. 2.3e × 10^7

d. 2.3 × e^7

Answer: 18

Step-by-step explanation:

I just found the number in between  

Answer:

8\(\sqrt{2}\)

Step-by-step explanation:

The geometric mean of 2 numbers a and b is \(\sqrt{ab}\) , then

\(\sqrt{4(32)}\)

= \(\sqrt{128}\)

= \(\sqrt{64(2)}\)

= \(\sqrt{64}\) × \(\sqrt{2}\)

= 8\(\sqrt{2}\)

Answer:

see below

Step-by-step explanation:

2* (4*8) = (2*4) * 8

This is the associative property of multiplication

Answer:

\(( - {x}^{2} + 2x) - ( {x}^{2} - 2x) \\ ( - {x}^{2} + 2x) + ( - {x}^{2} + 2x) \\ = - 2 {x}^{2} + 4x\)

I hope I helped you^_^

Answer:

2x^2+4x or just 4x doesn't matter.

Step-by-step explanation:

Hope this helps

Answer:

254

Step-by-step explanation:

the angle is 254

The difference between the circumference of circle X and circumference of circle Y is 5π cm.

This is the distance round a circle.

The circumference of circle X is calculated as follows;

\(C_X = \pi d\\\\ C_X = 15\pi \ cm\)

The circumference of circle Y is calculated as follows;

\(C_Y = \pi d\\\\ C_Y = 20 \pi \ cm\)

The difference between the circumference of circle X and circumference of circle Y is calculated as follows;

\(C_Y - C_X = 20\pi - 15 \pi = 5\pi \ cm \\\\ \)

Thus, the difference between the circumference of circle X and circumference of circle Y is 5π cm.

Learn more about circumference of  a circle here: https://brainly.com/question/9782777

Using the formula for the circumference, it is found that the difference between the circumference of circle X and the circumference of circle Y is of 31.4 centimeters.

\(C = 2\pi r\)

The diameter of circle X is 15 centimeters, hence \(r = 15\) and:

\(C_X = 2\pi(15) = 30\pi\)

The diameter of circle Y is 20 centimeters, hence \(r = 20\) and:

\(C_Y = 2\pi(20) = 40\pi\)

Then, the difference, in centimeters, is of:

\(d = C_X - C_Y = 40\pi - 30\pi = 10\pi = 31.4\)

You can learn more about circles at https://brainly.com/question/17326298

Answer:

thank you for the free points

Step-by-step explanation:

Answer:

13 gallons

Step-by-step explanation:

13.35 = 5 gallons of gas

1 gallon = 2.67

y = 2.67x

34.71 = 2.67x

\(\frac{34.71}{2.67} = \frac{2.67x}{2.67}\)

x = 13

The probability that the data transfer time is between 51 and 79 ms can be calculated by finding the area under the probability density function curve within that range.

To calculate the probability, we need to know the distribution of the data transfer time. Assuming the data transfer time follows a continuous probability distribution, such as the normal distribution, we can use the properties of the distribution to find the desired probability.

If we have information about the mean (μ) and standard deviation (σ) of the data transfer time, we can use the Z-score formula to standardize the range of interest. Then, by using a standard normal distribution table or statistical software, we can find the probabilities associated with the Z-scores corresponding to 51 ms and 79 ms.

For example, if the data transfer time follows a normal distribution with a mean of μ and a standard deviation of σ, we can calculate the Z-scores as follows:

Z1 = (51 - μ) / σ

Z2 = (79 - μ) / σ

Next, we can look up the probabilities associated with these Z-scores. The probability that the data transfer time is between 51 and 79 ms is equal to the difference between the two probabilities. Finally, rounding the result to three decimal places will provide the desired answer.

Learn more about decimal here:

https://brainly.com/question/30958821

#SPJ11

Answer:

26mm

Step-by-step explanation:

w+10 + w+ 20 = 144/3

3w+30 = 48

3w = 18

w=6

longest side is 6+20 = 26

Answer:

I think the correct answer to this, (if I'm not wrong), would be D.

Step-by-step explanation:

I hope this helped!! Have a wonderful day and never forget to smile!!

Answer:

the expression is not factorable with rational numbers