©C a r n e g ie L e a r n in g 6.1 Picture Algebra • 3093. The members of a small town’s local arts council are selling raffle tickets. The art council decides that the top three raffle ticket sellers will share a portion of the profits. The second-place seller will receive twice as much as the third-place seller. The first-place seller will receive $20 more than second-place seller. How much will each of the top three sellers receive if the profit portion they will share is $200?

The initial velocity of the car before the brake was pulled is 30m/s

From the question, we have the following parameters that can be used in our computation:

A car pulls the emergency hand brake, accelerating at -4.0 m/s2 for 7.5 seconds

This means that

Acceleration = -4.0m/s^2

Time = 7.5 seconds

Using the above as a guide, we have the following:

Initial velocity = -Acceleration  * Time

substitute the known values in the above equation, so, we have the following representation

Initial velocity = 4  * 7.5

Evaluate

Initial velocity = 30

Hence, the initial velocity is 30

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Answer:

  2015(2016/2015)^2015

Step-by-step explanation:

  \(\dfrac{2016^{2016}-2016^{2015}}{2015^{2015}}=\dfrac{2016^{2015}(2016-1)}{2015^{2015}}\\\\=2015\cdot\left(\dfrac{2016}{2015}\right)^{2015}\approx5475.9794\)

Answer:

About 47% of books were nonfiction.

The actual percentage includes decimals and it would be this:

%47.0588235294

Applying PEMDAS the correct expression showing where to insert brackets to make it correct are:

i. 3 × (5 + 2) + 2 = 23;      ii. (12 ÷ 4) + 2 = 5

i. 3 × (5 + 2) + 2 = 23

In this expression, we need to prioritize addition over multiplication, as per the order of operations (PEMDAS or BODMAS).

Therefore, we should add 5 and 2 first and then multiply the result by 3. Adding the brackets around 5 + 2 forces the addition to be done before multiplication, resulting in the correct answer.

ii. (12 ÷ 4) + 2 = 5

In this expression, we need to prioritize division over addition. Therefore, we should divide 12 by 4 first and then add the result to 2. Adding brackets around 12 ÷ 4 forces the division to be done before addition, resulting in the correct answer.

To understand where to insert brackets, you need to follow the order of operations, which is a set of rules that dictates the order in which arithmetic operations should be performed. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)

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Answer:

I'm going to say B

The simplest definition of point-slope form is a line equation expressed using a single line point and the line's slope.

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). B stands in for the y value of the y-intercept point in the formula.

An equation for a line stated using a single point on the line and the line's slope is a straightforward definition of point-slope form.

The slope is defined as the rise over run, or the proportion of the change in the y values over the change in the x values, and the point form is denoted by the letters (x,y).

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Using the Central Limit Theorem, the sampling distribution of the sample mean wait time for random samples of size 84 has mean of 11.4 minutes and standard deviation of 0.28 minutes.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

In this problem, the population has:

Samples of 84 are taken, thus, by the Central Limit Theorem:

\(n = 84, s = \frac{2.6}{\sqrt{84}} = 0.28\)

The sampling distribution of the sample mean wait time for random samples of size 84 has mean of 11.4 minutes and standard deviation of 0.28 minutes.

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Answer:

length = 11 , width = 18

Step-by-step explanation:

Begin by letting x represent the width.

then double the width = 2x and 5 less than this = 2x-5

meaning the length is 2x - 5

now perimeter = 2x width + 2 x length

therefore 2x + 2(2x - 5) = 38

so 2x + 4x - 10 = 38

⇒ 6l = 38 + 10 = 48 ⇒ l = 8

width = x = 8cm and length = 2x - 5 = 16 - 5 = 11cm

check check:  ( 2  x 8 )  + ( 2 x  11 )  =  16  +  22  =  38

Using PEMDAS to resolve the trigonometric identity which involves trigonometric function, the value of tan A + tan B is 416 / 87

A trigonometric identity is an equation that is true for any value of the variables involved. These identities are useful in solving problems involving trigonometric functions. Examples include the Pythagorean identity, the sine and cosine addition formulas, and the double angle formulas.

In the given problem, we have a compound angle problem and we can solve it as;

tan A + tan B = [(tan A + tan B)] / [1 - tan A * tan B]

Substituting the values into the expression and solve;

tan A + tan B = [(7/24 + 15/8)] /[1 - (7/24)(15/8)]

Applying the rules of PEMDAS;

tan A + tan B = (13 / 6) / (29 / 64)

tan A + tan B = 416/87

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Answer:

40% i think

Step-by-step explanation:

Answer: 40%

Step-by-step explanation:

Divide 80 by 200 and you get 0.4

Multipy 0.4 by 100 and u get 40 which is your answer

Answer:

The answer is "\(AB= \left[\begin{array}{cc} -2 &51 \\-8&33\\0&27&\end{array}\right]\)"

Step-by-step explanation:

If the value of A and B is:

\(A= \left[\begin{array}{cc}-1&6\\-4&5\\0&3\end{array}\right]\)

\(B=\left[\begin{array}{cc}2&3\\0&9\end{array}\right]\)

Find the value of A\(\times\)B:

\(AB =\left[\begin{array}{cc}-1 \times 2+6 \times 0 &-1 \times 3+6 \times 9\\ -4 \times 2+5 \times 0& -4 \times 3+5 \times 9\\ 0 \times 2+3 \times 0&-1 \times 2+3\times 9\end{array}\right] \\ \\\\AB =\left[\begin{array}{cc}-2+0 &- 3+54\\ -8+0& -12+45\\ 0+ 0&-2 +27\end{array}\right] \\ \\\)

\(AB= \left[\begin{array}{cc} -2 &51 \\-8&33\\0&27&\end{array}\right]\)

Answer:

I think the answer might be b.

Step-by-step explanation:

Answer:

x = 2 and y = -1

Step-by-step explanation:

5x - 4y = 14    (call this equation no. 1)

3x + 7y = -1   (call this equation no. 2)

multiply all of equation no. 1 by 3.

this gives 15x -12y = 42 (call this equation no. 3)

multiply all of equation no. 2 by 5

this gives 15x + 35y = -5 (call this equation no. 4)

subtract no. 4 from no. 3

0x + (-12 - 35)y = 42 - (-5)

-47y =  42 + 5 = 47

y = - 1

now input y =-1 into equation no. 1.

5x - 4(-1) = 14

5x = 14 + 4(-1)

5x = 14 - 4 = 10

x =2

input y= -1 and x = 2 into equation no. 2 to confirm they are correct

3x + 7y = -1

3(2) + 7(-1) = -1

6 - 7 = -1

so, x = 2 and y = -1

x√2 is the quotient of √22x⁶÷√11x⁴, √22x⁶ is dividend and √11x⁴ is divisor

The number which is getting divided here is called the dividend.

The number which divides a given number is the divisor.

The number which we get as a result is known as the quotient.

We have to find the quotient of √22x⁶÷√11x⁴

√22x⁶/√11x⁴

√22x⁶ is dividend.

√11x⁴ is divisor

√2√11 x³/√11 x²

x√2 is the quotient.

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Answer:

I'm pretty sure it's 91

Step-by-step explanation:

8th square number is 64 and the 3rd cube number is 27 so add them together and you get 91

Answer:

5 units of vertical distance

Step-by-step explanation:

just count

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

Answer:

-5×+12-7×=-3(5×+8)

-5×+12-7×=-15×+24

-12×+12=-15×+24

-12×+12=-15×+24

3×+12=24

3×=12

×=4

Step-by-step explanation:

-5×+12-7×=-3(5×+8)

-5×+12-7×+24

-12×+12=-15×+24

-12×+=-15×+24

Answer:

(-2, 6)

Step-by-step explanation:

Trust me, I know

Definition

An income tax is a tax imposed on individuals or entities in respect of the income or profits earned by them. Income tax generally is computed as the product of a tax rate times the taxable income.

Given:

tax rate = 44%

Annual salary (taxable income) = $29958

The amount paid in tax is the tax rate times the annual salary i.e:

Substituting the given values we have:

Answer: $13181.52

Answer:

True

Step-by-step explanation:

Answer is true, the degree of a function tells you at most how many zeroes the function can have.

Answer:

46.21%

Step-by-step explanation:

The area of the table top is 1.3 x 1.3 = 1.69 m²

The area of the circular tablecloth is given by πr² where r is the radius of the table cloth

Give diameter of tablecloth is 2m, radius r = 2/2 = 1 m

Area of tablecloth = π · 1² = π

So the excess area of the tablecloth which overhangs

= π - 1.69 = 1.45 m²  (taking π = 3.14)

So the fraction of the tablecloth that overhangs
= Excess area of tablecloth ÷ total area of tablecloth
= 1.45 /π

= 0.4621

As a percentage this would be
0.4621 x 100

= 46.21%

Answer:

1 solution

Step-by-step explanation:

The two equations have different slopes and different y-intercepts, so they represent two lines that intersect at 1 point.

Answer: 1 solution

Answer:

To solve this problem, we need to subtract the cost of the book and the total amount donated to charities from the total amount of cash Katye received for her birthday. Here are the steps:

Add up the value of the gifts Katye received:

Total value of gifts = (value of gift 1) + (value of gift 2) + ... + (value of gift 15)

Add up the value of the cash Katye received:

Total cash = $100

Subtract the cost of the book from the total cash:

Cash remaining after buying the book = $100 - $23

Determine the maximum number of $10 donations that Katye can make:

Maximum number of $10 donations = (cash remaining after buying the book) / $10

Multiply the maximum number of donations by $10 to get the total amount donated:

Total amount donated = (maximum number of $10 donations) x $10

Subtract the cost of the book and the total amount donated from the total cash:

Cash remaining = $100 - $23 - (total amount donated)

The final answer will be the cash remaining after these calculations

Answer:

45 customers

Step-by-step explanation:

Total customers= 60 customers

100% = 60

75% = 75/100 × 60

=45 costumers

Answer:

It is 45 customers

Answer:

The right answer is :

2 (108) and 3 (72)

Step-by-step explanation:

i did the test

The correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.

An isosceles triangle is a triangle which is having two sides equal to each other.

Firsty we have to find the value of x in the angles. We have been given that the triangle is isosceles because two sides are equal to each other and we know that angles opposite to two equal sides are also equal to each other.

So,

(4x+16)°+2(5x+7)°=180°

4x-16+10x+14=180

14x-2=180

14x=180+2

14x=182

x=182/14

x=13

Putting the value of x.

∠BCA=5x+7

=5*13+7

=65+7

=72

∠ABC=4x-16

=4*13-16

=52-16

=36

∠BAC=180-36-72

=180-108

=72

∠BCD=180-∠BCA

=180-72

=108°

Hence the correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.

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Answer:

The correct function is

\(f(b) = {b}^{2} - 4\)

The distance around the foundation shown is 224 feet

The distance around the foundation shown is the perimeter of the foundation.

To determine the distance around the foundation shown, we simply add up the lengths of each side

The lengths have the following values

Lengths = 46, 38, 10, 10, 8, 10, 8, 10, 20, 10, 8, 30, 8, 8 feet

Next, we add the lengths

This is done as follows:

Perimeter = 46 + 38 + 10 + 10 + 8 + 10 + 8 + 10 + 20 + 10 + 8 + 30 + 8 + 8 feet

Evaluate the sum

Perimeter = 224 feet

Hence, the distance around the foundation shown is 224 feet

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