Peter bought p shirts at $(p-4) each. He spent $60 on the shirts. Determine the number of shirts bought.​

Answer: divide by 3.14

Step-by-step explanation:

Answer:

The graph of x < 4 is  

✔ an open circle at 4 shaded to the left

The graph of 7 < x is  

✔ an open circle at 7shaded to the right

Because this is an “and” compound inequality, solutions satisfy  

✔ both inequalities

The solution set to the compound inequality is  

✔ no solution

Step-by-step explanation:

Got it right

Answer:

D C A D in that order i got it right on edge 2020

Step-by-step explanation:

Answer:

For the first one:

A' (-8,6)

B' (-9,10)

C' (-3,9)

D' (-2,5)

Step-by-step explanation:

The equatiom formed will be =g(x)=0.2(x+3)^{2}-5.

According to our question-

It is the graph of  vertically compressed, and then translated 5 units down and 3 units to the left.

The parent function is:

First, it is multiplied by 0.2,which is a number less than 1, meaning it was vertically compressed.

Then, , which means that the function was shifted 3 units to the left.

Then, 5 was subtracted, which means that the function was shifted 5 units down.

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The correct answer is; A: 2156 square units

Explanation:

The area of the triangle can be calculated using the Heron's formula. The formula for calculating the area of a triangle using Heron's formula is given by;` A = sqrt(s(s-a)(s-b)(s-c))`

where s = (a+b+c) /2a = 299, b = 18, and c = 8s = (299+18+8)/2 = 162.5

Substituting the values in the formula; `A = sqrt(162.5(162.5-299)(162.5-18)(162.5-8))

``A = sqrt(162.5 * -154.5 * 144.5 * 154.5)

`A = 2155.7 ≈ 2156

Therefore, the area of the triangle is approximately equal to 2156 square units. No, because the vectors have different magnitudes and the same direction. Sketching the vector as a position vector, we get V = (-61, -4).

To find the magnitude of V;`|V| = sqrt((-61)^2 + (-4)^2)

`|V| = sqrt(3721 + 16)`|V| = sqrt(3737)

The magnitude of V is `IM = sqrt(3737)`.

Therefore, the correct answer is; A: 2156 square units

OC: No, because the vectors have different magnitudes and the same direction. OD: `IM = sqrt(3737)`

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Answer:

y = 20

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 5 when x = 3 and z = 4

5 = k × 3 × 4 = 12k ( divide both sides by 12 )

\(\frac{5}{12}\) = k

y = \(\frac{5}{12}\) xz ← equation of variation

When x = 6 and z = 8 , then

y = \(\frac{5}{12}\) × 6 × 8 = \(\frac{5}{12}\) × 48 = 5 × 4 = 20

Answer:

Joyce should write \(1,8,64,512,4096\)

Step-by-step explanation:

Let's analyze the procedure of how the pictures are formed.

Her teacher said the images were created by taking a red square, dividing it into 9 smaller squares, and removing the center square.

For the first two images we can see and count that there is 1 red square in the first picture and 8 red squares in the second picture.

For the third image, there are 8 squares formed by 8 red squares each one.

The number of red squares is 8 x 8 = 64

We can write the sequence as

1 , 8 , 64 ⇒ 1 , 8 , \(8^{2}\)

For the fourth picture we can do the same reasoning and figure out that there are 8 x 8 x 8 = 512 red squares in the fourth image.

The sequence so far is

1 , 8 , 64 , 512 ⇒ 1 , 8 , \(8^{2}\) , \(8^{3}\)

We can generalize the sequence and write that the sequence is :

\(8^{n}\) with \(n\) ∈ IN ⇒ The first five numbers will be

\(8^{0},8^{1},8^{2},8^{3},8^{4}\) = \(1,8,64,512,4096\)

Answer:

Below.

Step-by-step explanation:

I can't see the words on your image very well but I can give you an explanation of the remainder theorem.

The theorem allows you to find the remainder of a division without doing the division itself.

You can find the remainder when  a polynomial is divided by a linear expression like 3x - 2, for example,  using this theorem.

An example will explain the method:

What is the remainder when x^3 - x^2 - 2x - 5 is divided by 2x - 1?

Put 2x - 1 = 0, this gives x = 0.5.

Now we plug x = 0.5 into the polynomial:

This = (0.5)^3 - (0.5)^2 -2(0.5) - 5 = -6.125

So the remainder is -6.125.

The formal definition is

The remainder when P(x) is divided by x - a is f(a).

Answer:

24.2

Step-by-step explanation:

divide 60.50 by 30 then multiply that by 12

To solve the equation 2y^(4) +11y^(3) + 18y" + 4ť' - 8y=0, we can first factor out a common factor of 2y: 2y(y^3 + 5y^2 + 9y + 2ť' - 4) = 0 Next, we can focus on the expression inside the parentheses, which can be written as:

y^3 + 5y^2 + 9y + 2ť' - 4

We can recognize this expression as the polynomial 2r^4 +11r^3 + 18r^2 + 4r – 8 evaluated at r=y-1/2.

So, 2r^4 +11r^3 + 18r^2 + 4r – 8 = (2r - 1)(r + 2)^3.

Finally, we can factor out a common factor of 2 and use the factored form of the polynomial:

2(y-1)(y+2)^3(2y+1) = 0

Therefore, the solutions to the original equation are:

y = 1, -2, -1/2 (multiplicity 3)
To solve the given polynomial equation, we will first rewrite it in a more accurate and coherent form by removing the irrelevant terms:

2y^4 + 11y^3 + 18y^2 + 4y - 8 = 0

We are given a hint that the equation can be factored as:

(2r - 1)(r + 2)^3

Now, we will replace r with y to match the variable in the given equation:

(2y - 1)(y + 2)^3 = 0

Now that we have the factored form of the equation, we can set each factor equal to zero and solve for y:

1) 2y - 1 = 0
2y = 1
y = 1/2

2) (y + 2)^3 = 0
y + 2 = 0
y = -2

So the solutions to the given equation are y = 1/2 and y = -2.

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Answer:

θ = 76°

Step-by-step explanation:

Using the cofunction identity

sinx° = cos(90 - x)°, then

sin14° = cos(90 - 14)° = cos76°

That is θ = 76°

Answer:

in radians o= 0.13716675

Step-by-step explanation:

cos(0)=0.9906074

O= arccos(0.9906074)

O=0.13716675

Answer: First choice 480t = 300t + 900

Step-by-step explanation:

A factory has two assembly lines, M and N, that make the same toy. On Monday, only assembly line M was functioning and it made 900 toys.  

On Tuesday, both assembly lines were functioning for the same amount of time. Line M made 300 toys per hour and line N made 480 toys per hour. Line N made as many toys on Tuesday as line M did over both days.

Write an equation that can be used to find the number of hours, t, that the assembly lines were functioning on Tuesday.

ANS

Let say t is time in hrs for Which Both Assembly line worked

M made 300 toys per hr on Tuesday

Toys made on Tuesday at Assembly line M = 300 × t  = 300t  toys

N made 480 toys per hr on Tuesday

Toys made on Tuesday at Assembly line N = 480 × t  = 480t  toys

Toys Made by N on Tuesday  = Toys made by M on Tuesday + Toys made by M on Monday

480t = 300t + 900

=> 180 t = 900

=> t = 900/180

=> t = 5 hr

N capacity on tuesday Per hour * t  = M capacity on tuesday per hour  * t  + Toys made by M on Monday

N = N capacity on tuesday Per hour

M = M capacity on tuesday Per hour

=> t (N - M ) = 900

=> t = 900/(N-M)

Answer:

all of them

Step-by-step explanation:

Answer: 6^2

Step-by-step explanation: because the perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, and so on. <3

Answer:

94

Step-by-step explanation:

∠JKL and ∠JML are supplementary( they add to 180°).

Set their values equal to 180 to find the value of x.

15x - 19 + 13x + 3 = 180

Combine like terms

28x - 16 = 180

Add 16 to both sides to isolate the x

28x = 196

Divide both sides by 28

x = 7

Substitute the value of x into the expression for ∠JML

13(7) + 3 = ∠JML

91 + 3 = ∠JML

94° = ∠JML

To check our answer we can substitute the value of x into the expression for ∠JKL and if they add up to 180 we are correct

15(7) - 19 =∠JKL

105 -19 =∠JKL

86 =∠JKL

94° + 86° = 180°

Therefore we are correct

Answer:

5869

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.

Ratio of ages at present = 3:4

Age of Raju = 3x

Age of Ravi = 4x

Age after four years:

Raju's age  = 3x + 4

Ravi's age = 4x + 4

Ratio of ages after four year = 4 : 5

3x +4 : 4x + 4 = 4 : 5

(4x + 4)*4 = (3x + 4)*5

16x + 16 = 15x + 20  

Subtract 16 from both sides

16x  = 15x + 20 - 16

16x = 15x + 4

Subtract 15x from both sides

16x - 15x = 4

 x = 4

Age of Raju = 3x = 3*4 = 12 years

Age of Ravi = 4x = 4*4 = 16 years

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

7. The son's age is 6 and his father's is 36.

Let the age of the son be \(x\) and the age of his father be \(y\),

\(x+y=42\\6x=y\)

substitute \(6x\) for \(y\) in \(x+y=42\) to find the age of the son:

\(x+y=42\\x+6x=42\\7x=42\\x=6\)

since \(6x=y\), substitute the value of \(x =6\) to find the age of the father:

\(6x=y\\x=6\\y=6*6\\y=36\)

8. The total number of fruit sold is 304.

Let oranges be \(x\) and apples be \(y\),

\(4x+5y=1479\\y=6x\)

substitute \(6x\) to find the number of oranges:

\(4x+5y=1479\\4x+5(6x)=1479\\4x+30x=1479\\34x=1479\\x=43.5\)

now solve for \(y\) to find the number of apples:

\(y=6x\\y=6*43.5\\y=261\)

add the two together to find the total number of fruit:

\(x+y = 43.5+261=304.5\) ≈ \(304\) (rounded up because fruit count is a whole number)

Answer:

35miles/1 hr=21miles/x hr

= x hr* 35miles/1 hr= 21 miles

= x = 21/35 =0.6 hr

So, traveling at 35mph it will take 0.6 hours to travel 21 miles.

If you want time in mins then keep going:

=> 60 mins = 1 hour, 0.6 hours = x mins

60mins/1 hr = x mins/ 0.6 hr

0.6 * 60 mins = 36 mins.

:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph

Step-by-step explanation:

Answer:

im sorry i cant read that

Step-by-step explanation:

its to far away :(

Answer:

the first one is right

Step-by-step explanation:

theres a x intercept of -3 and shows allt he numbers whole know as real numbers

The graph of option A shows the function that has a domain of all real numbers and an x-intercept of –3

The x-intercept of a function of variable x ( y = f(x) ) form is an intersection fo the x-axis and the curve of the function. The x-intercept for a function y = f(x) is a solution to the equation f(x) = 0 because at that value of x, the function f(x) lies on x-axis, where y is zero. the Values of xintercept for an function f(x) are also called roots or solution of f(x) = 0 equation.

The domain of a function is the set of values for which the given function is defined.

We have been given an x-intercept of -3 which shows all the numbers whole know as real numbers.

The graph of option A shows the function that has a domain of all real numbers and an x-intercept of –3

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Answer: $31045.5

Step-by-step explanation:

First, you have to start by writing your equation. Start with letting p = the amount of product sold and d = dollars, or the amount of profit the CEO makes.

So, your equation should look like this:

d = the percentage the CEO earns (the profit of the company)

Profit is equal to the amount of gains minus the amount of losses. The amount of gains would be $855 times the number of products sold, and the losses per month are $6780 flat as shown in the problem. Finally, the percentage is 15%, as you're also told in the problem.

So now your equation looks like this:

d = 15% (855p - 6780)

OR

d = .15 (855p - 6780)

Now, you can substitute your 250 products sold in for p, and solve as shown below.

d = .15 (855(250) - 6780)

d = .15 (213750 - 6780)

d = .15 (206970)

d =  31045.5

Answer:

$31045.5

Step-by-step explanation:

We need to find the profit after selling the products first so

$855 × 250 = $213750

Then we need to subtract the expenses from the profit

$213750 - $6780 = $206970

Since the CEO get paid 15% of the total profit, we just need to take 15% of the above number

$206970 × 0.15 = $31045.5

There are 176,851 ways to assign the 100 pages to the four printers.

Since there are no restrictions on how many pages a printer can print, we can think of this problem as distributing 100 identical pages among 4 distinct printers. This is an example of a "balls and urns" problem, which can be solved using the stars and bars formula.

The stars and bars formula states that the number of ways to distribute k identical objects among n distinct containers is:

C(k+n-1, n-1)

where C represents the combination function. In this case, we have k = 100 identical pages and n = 4 distinct printers. Therefore, the number of ways to assign the pages to the printers is:

C(100+4-1, 4-1) = C(103, 3) = 176,851

So there are 176,851 ways to assign the 100 pages to the four printers.

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We can estimate with 95% confidence that the difference between the average yearly incomes of marketing managers in the East and West is between $9,870 and $130.

a. To develop an interval estimate for the difference between the average yearly incomes of marketing managers in the East and West, we can use the two-sample t-test. Here are the steps:

Calculate the pooled standard deviation:

Sp = sqrt[((n1-1)s1^2 + (n2-1)s2^2)/(n1+n2-2)]

Sp = sqrt[((40-1)6^2 + (45-1)8^2)/(40+45-2)]

Sp = 7.054

Calculate the standard error:

SE = Spsqrt(1/n1 + 1/n2)

SE = 7.054sqrt(1/40 + 1/45)

SE = 2.299

Calculate the t-value:

t = (x1 - x2) / SE

t = (72 - 78) / 2.299

t = -2.61

Calculate the confidence interval:

CI = (x1 - x2) ± t(α/2, df)*SE

CI = (72 - 78) ± t(0.025, 83)*2.299

CI = (-9.87, -0.13)

Therefore, we can estimate with 95% confidence that the difference between the average yearly incomes of marketing managers in the East and West is between $9,870 and $130.

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The Anne  to deposit  $208.33 each month in order to accumulate $10,000 by the time she is 20 years old, assuming a 0% interest rate.

To calculate how much Anne's monthly deposits  to be in order to accumulate $10,000 by the time she is 20,  to consider the time frame and the interest rate.

Let's assume that Anne has 4 years to save the money (from 16 to 20 years old) and that the interest rate is 0% for simplicity.

To determine the total number of months Anne has to save. Since there are 12 months in a year and she has 4 years, the total number of months is:

Total months = 4 years × 12 months/year = 48 months

Next, calculate how much she needs to save each month:

Amount to save = Total amount desired / Total months

= $10,000 / 48

≈ $208.33

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Answer:

Which grade's question is this?

The slope for the function f(t) = 3 - 3/5t at point (3/5, 2) is 5/3.

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

The given function is - f(t) = 3 - 3/5t.

The data points are - (3/5, 2)

Rewrite the function -

f(t) = 3 - 3/5 t^-1

Differentiate with respect to t. Use the difference rule.

d/dt (3) - d/dt (3/5 t^-1)

Use the constant rule and the constant multiple rule.

0 - 3/5 d/dt (t^-1)

Use the power rule.

-3/5(-1)t^(-1 - 1)

3/5t^-2

Now plug in 3/5 for t on the derivative in order to find the slope at point (3/5, 2).

3/5(3/5)^-2

3/5(5/3)^2

3/5 × 25/9

5/3

Therefore, the slope value is 5/3.

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Find the slope of the graph of the function at the given point.

Function Point f(t) = 3 - 3/5t (3/5, 2)

The vertex of the function |4x + 8| − 1 is  (-2, -1) and the range of the function is f(x) > -1.

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

|4x + 8| − 1

To find the vertex, find the zeroes of the function as shown below,

|4x + 8|  = 0

4x + 8 = 0

4x = -8

x = -8 / 4

x = -2

Put this value in the equation,

|4 × (-2) + 8| − 1 = y

|-8 + 8| - 1 = y

y = -1

Thus, the vertex will be (-2, -1)

The range of the function c|ax + b| + k is f(x) > k,

Here k is -1 so

The range of the function is f(x) > -1.

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