Grayson had 3.75 yards of fabric. He used 4/5 of the fabric. How many yards of fabric did Grayson use:

Answer:

\( \rm \: f(x) = {x}^{2} + 2\)

\( \rm \: f(6) = {6}^{2} + 2\)

\( \rm \: f(6) = 36+ 2\)

\( \rm \: f(6) = 38\)

Answer:

each person pays $21.04

Step-by-step explanation:

105.20/5=21.04

Answer:

$21.04

Step-by-step explanation:

U just divide the amount of money by 5. (im pretty sure thats all u do)

Answer:

d. 22 cm²

Step-by-step explanation:

4*3+2*5= 22 cm² = option d

Answer:  f(-4) = 11

Step-by-step explanation:

f(-4) means that the x is equal to -4, so we plug in -4 for x.

f(x) = -4x - 5,

f(-4) = -4(-4) - 5

       = 16 - 5

       = 11

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: second option (counting from the top)

Step-by-step explanation:

When we have a number:

z = x + y*i

we can represent this with the point:

(x, y).

Now, remember that in polar coordinates, we need to use the variables:

r = distance to the (0, 0), or the "magnitude" of the point.

θ = angle measured counterclockwise from the x-axis.

r is easy to find, is the magnitude, this is calculated as:

r = √(x^2 + y^2)

To find θ, suppose that we have a triangle rectangle, where x is the adjacent cathetus, and y is the opposite cathetus, and θ is the angle as we described it.

We know that:

Tan(θ) = opposite cathetus/adjacent cathetus = y/x

Tan(θ) = y/x

Then:

θ = Tan^-1 (y/x)

Then the correct option is the second option (counting from the top)

Answer:

its b

Step-by-step explanation:

trust

Answer:

5%

Step-by-step explanation:

A tax is a compulsory sum levied by the government or an agency of the government on goods and services. Taxes raises the price of products

Tax rate is the percentage a person pays as tax

tax rate = \(\frac{tax paid}{cost of the dinner}\) × 100

\(\frac{7.89}{157.75}\) × 100 = 5%

She paid a tax rate of 5% on the dinner

Answer:

33 degrees

Step-by-step explanation:

It is 21 degrees inside the command center and negative 12 degrees outside.

You want to find the difference between these, which means you want to subtract.

That will look like:

21 - (-12) = ?

since you have two negative signs next to each other, they will cancel each other out.

Our new equation:

21 + 12 =

21 + 12 = 33

The difference between these two temperatures is 33 degrees.

The comparison between the distance he biked and swam is 3 : 1.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

From the given information the comparison of the distance he swam to the distance he biked can be represented in the form of ratios.

Given, He rode his bike 3/4 miles and swam for 1/4 mile.

Therefore, The ratio of biking : swimming = 3/4 : 1/4.

Now, Multiplying by 4 to get rid of the denominator we have,

Biking : Swimming = 3 : 1.

As the days in both comparisons increase in the same manner the ratio will remain the same.

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Answer:

Step-by-step explanation:

< UTY + <RWX = 180°

( same side interior angle theorem ) → < UTY + <RWX = 180°

Answer: -4.2c + 4.8d

Step-by-step explanation:

Multiply each number by 0.6 to get -4.2c + 4.8d.

Answer:

D

Step-by-step explanation:

This is because the angle are corresponding which mean they are on the same side and are the same number

Hope this Helped

Answer:

x = t(a+p)/4

Step-by-step explanation

Given the expression

​a=4x/t - p

We are to make x the subject of the formula

a=4x/t - p

Add p to both sides

a+p = 4x/t - p+p

a+p = 4x/t

Cross multiply

t(a+p) = 4x

Rearrange

4x = t(a+p)

Divide both sides by 4

4x/4 = t(a+p)/4

x = t(a+p)/4

Answer:

B. 7b3 + 4ab + 4a2

Step-by-step explanation:

35b5/5b2 + 20ab3/5b2 + 20a2b2/5b2  

7b3 + 4ab + 4a2

Answer:

B = 7b³ + 4ab + 4a²

Step-by-step explanation:

35b^5 + 20ab³ + 20a²b² by 5b² ÷ 5b²

= 35b^5 + 20ab³ + 20a²b² by 5b²

_________________________

5b²

= 7b³ + 4ab + 4a²

Answer:

1. 19 (x) = 7

2. -32 + x = 2

3. x ÷ -27 = 8

4. x - 12 = 5

5. 1/3 (x) = 3

Step-by-step explanation:

:)

To evaluate the iterated integral ∫∫(x + y)^2 dy dx over the given limits, we need to integrate with respect to y first and then with respect to x.

The limits of integration for y are from x to 1, and the limits of integration for x are from 3 to 4. Let's calculate the integral step by step: ∫∫(x + y)^2 dy dx = ∫[3 to 4] ∫[x to 1] (x + y)^2 dy dx. Step 1: Integrate with respect to y:

∫[x to 1] (x + y)^2 dy = [(x + y)^3 / 3] evaluated from x to 1

= [(x + 1)^3 / 3] - [(x + x)^3 / 3]

= [(x + 1)^3 / 3] - [8x^3 / 3]. Step 2: Integrate with respect to x: ∫[3 to 4] [(x + 1)^3 / 3 - 8x^3 / 3] dx= [∫[(x + 1)^3 / 3] dx - ∫[8x^3 / 3] dx] from 3 to 4

To simplify the calculation, let's expand (x + 1)^3 = x^3 + 3x^2 + 3x + 1:

= ∫[(x^3 + 3x^2 + 3x + 1) / 3] dx - ∫[8x^3 / 3] dx

= [∫[x^3 / 3] + ∫[x^2] + ∫[x / 3] + ∫[1 / 3] - ∫[8x^3 / 3] dx] from 3 to 4

= [x^4 / 12 + x^3 / 3 + x^2 / 6 + x / 3 - 2x^4 / 3] evaluated from 3 to 4

= [(4^4 / 12 + 4^3 / 3 + 4^2 / 6 + 4 / 3 - 2 * 4^4 / 3) - (3^4 / 12 + 3^3 / 3 + 3^2 / 6 + 3 / 3 - 2 * 3^4 / 3)]

= [(64 / 12 + 64 / 3 + 16 / 6 + 4 / 3 - 128 / 3) - (81 / 12 + 27 / 3 + 9 / 6 + 1 / 3 - 54 / 3)].Now, simplify the expression to find the final value. Please note that the final value will be a numerical approximation.

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To answer question a, we use the formula:

time taken = (number of tyres to fit x time taken to fit one tyre) / number of tyres fitted at once

In this case, Liam takes 124 minutes to fit 4 tyres to a lorry. To find out how long it would take him to fit 6 tyres, we plug in the values:

time taken = (6 x 124) / 4
time taken = 186 minutes

So it would take Liam 186 minutes to fit 6 tyres to a lorry.

For question b, we know that Liam takes 124 minutes to fit 4 tyres, so he takes 31 minutes to fit 1 tyre. If he works for 93 minutes, we can find out how many tyres he can fit:

number of tyres = time taken / time taken to fit one tyre
number of tyres = 93 / 31
number of tyres = 3

So Liam can fit 3 tyres in 93 minutes.

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Answer:

-40 bytes

Step-by-step explanation:

Answer:

-40b

Step-by-step explanation

16+24 = 40

they both have a b so you just combine them.

Answer:

30 questions

Step-by-step explanation:

if you cross multiply and divide like this,

\(\frac{27}{x}= \frac{90}{100}\)

27 x 100 = 2700

2700 / 90 = 30

you'll get ; 30 !

Answer:

There are 30 total questions on the exam

Explanation:

90% = 0.9

0.9 x TOTAL = 27

27/ 0.9 = TOTAL

30 = TOTAL

Answer:

0.3 is the answer

Step-by-step explanation:

hope it helps

Answer:

Median: 6

Mean: 7

Range:10

Mode:4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mean: 7

Median:6

Mode: 4

Range: 10

The 99% confidence interval for the population mean is approximately (341.53, 358.47).

To construct a 99% confidence interval estimate for the population mean, we can use the formula:

Confidence interval = x ± z * (σ/√n)

Where:

x = sample mean

z = z-score corresponding to the desired confidence level (99% in this case)

σ = population standard deviation

n = sample size

Given the values: the 99% confidence interval for the population mean is approximately (341.53, 358.47).

x = 350

σ = 61

n = 238

First, we need to find the z-score corresponding to a 99% confidence level. This can be obtained from the standard normal distribution table or by using a statistical calculator. The z-score for a 99% confidence level is approximately 2.576.

Next, we can calculate the margin of error:

Margin of error = z * (σ/√n)

              = 2.576 * (61/√238)

              ≈ 8.47

Finally, we can construct the confidence interval:

Confidence interval = x ± margin of error

                   = 350 ± 8.47

                   ≈ (341.53, 358.47)

Therefore, the 99% confidence interval for the population mean is approximately (341.53, 358.47).

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Answer:

111 cm^2

Step-by-step explanation:

h = 11.4

d = 5  so  r (radius) = 2.5

Surface Area of a Cone Formula: πr^2 + πrs

s represents the slant height of the cone, lets represent this with a drawing.

We have the values of h and r, but we don't have the value of s, meaning we have to find it. We can do this by using pythagorean theorem.

a^2 + b^2 = c^2

These three values can come together to create a right triangle which we can seperate from the rest of the diagram, now we can find s.

s = √(11.4^2 + 2.5^2)   so  s = 11.67

now that we have all of the pieces, we can plug back into the original surface area formula. πr^2 + πrs

π(2.5^2) + π(2.5)(11.67) = 111.29 cm^2 or 111 cm^2

The surface area of the solid cone requiring paint will be 111 square cm.

Let d be the diameter of the base circle, l be the slant height, and h be the height of the cone.

Then the lateral surface area of the cone will be

SA = πrl + πr²

Then the slant height is given as

l² = r² + h²

The exterior of a solid cone is painted. The height of the cone is 11.4 centimeters, and the diameter of its opening is 5 centimeters.

Then the radius of the base circle will be

r = 5 / 2

r = 2.5 cm

The length of the slant height will be

l² = 11.4² + 2.5²

l² = 136.21

 l = 11.67

Then the surface area of the solid cone requiring paint will be

SA = π × 2.5 × 11.67 + π × 2.5²

SA = 29.18π + 6.25π

SA = 35.43π

SA = 111.3

SA ≈ 111 square cm

The surface area of the solid cone requiring paint will be 111 square cm.

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The statement correctly describes the relationship between △DEF and △D'E'F' is option (D) △DEF is congruent to △D′E′F′ because you can map △DEF to △D′E′F′ using a reflection across the x-axis, which is a rigid motion.

In the given figure

Consider the ΔDEF

The coordinates of the each point is

D = (0,-1)

E = (-3,-4)

F = (6, -4)

The coordinates of the △D′E′F′

D' = (0,1)

E' = (-3,4)

F' = (6,4)

Here we can see that there is a reflection across the x axis which is a rigid motion

Hence, the statement correctly describes the relationship between △DEF and △D'E'F' is option (D) △DEF is congruent to △D′E′F′ because you can map △DEF to △D′E′F′ using a reflection across the x-axis, which is a rigid motion.

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Answer:

The perimeter of a triangle is the sum of all its three sides.

So,

0.75+0.75+0.75 = 2.25inches

Answer:

i = Could be true (C)

ii = False (F)

iii = Definitely true (D)

Hope this helps :-)

The experimental probability of an odd number other than 9 being generated is 0.38.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

According to the probability formula, the probability of an event occurring, or P(E), is equal to the proportion of positive outcomes to all outcomes. P(E) is defined mathematically as favorable outcomes divided by total outcomes.

Given Data

A random number generator is used to create a list of 150 single-digit numbers. Of those 150 numbers, 72 are odd and 78 are even. The number 9 was generated 15 times.

Total numbers generated = 150

Odd numbers = 72

Even numbers = 78

Generation of number 9 = 15

Number of odd numbers except 9 itself

= 72 -15

= 57

Probability = \(\frac{Odd numbers except 9 itself}{total munbers}\)

Probability = \(\frac{57}{150}\)

Probability = 0.38

The experimental probability of an odd number other than 9 being generated is 0.38.

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