Spot Robin says, "I can find 6 x 9 by
multiplying 4 x 9 and doubling it." Does her statement
make sense? Justify your answer.

Answer:

1.) B

2.) B

Step-by-step explanation:

Number 1 is B bc rapid population in Mexico is caused by the economy improving.

Number 2 is B bc if there was one political party , there would be little opposition in the government. It basically means disaster.

Answer:

Your answer is 264

Step-by-step explanation:

For given pair of lines:

Line 1 and Line 2 => parallel

Line 1 and Lin2 3 => parallel

Line 2 and Line 3 => parallel

In this question, we have been given equations of lines.

Line 1: y = -3/2x - 6

Line 2: 2y = -3x + 3

we can write it as,

y = -3/2x + 3/2

Line 3: 6x + 4y = -8

           4y = -6x - 8

            y = -3/2 x - 2

We know that the product of slopes of perpendicular lines is -1.

And the slopes of parallel lines are equal.

By comparing given line s with slope -intercept form of equation of line i.e., y = mx + c

Slope of line 1 = -3/2

slope of line 2 = -3/2

slope of line 3 = -3/2

This means, all lines are parallel to each other.

Therefore, for given pair of lines:

Line 1 and Line 2 => parallel

Line 1 and Lin2 3 => parallel

Line 2 and Line 3 => parallel

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Answer:

(x-8)(x+8)

Step-by-step explanation:

Answer:

(x + 8)(x − 8)

Step-by-step explanation:

Answer:

Im not sure at all but i think that your answer should be x-3 or 98*

Step-by-step explanation:

Im not going to post all my explanation enought i have with investigate the answer >:v

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. 7.4, 6.2, 8.5, 6.3, 5.4, 5.5, 6.3, 8.3 Compute a 98% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 98% confidence that the true mean time a student sleeps per night is between _____ and ____ hours. (Keep 3 decimal places)

Solution:

Mean = (7.4 + 6.2 + 8.5 + 6.3 + 5.4 + 5.5 + 6.3 + 8.3)/8 = 6.7375

Standard deviation = √(summation(x - mean)²/n

Summation(x - mean)² = (7.4 - 6.7375)^2 + (6.2 - 6.7375)^2 + (8.5 - 6.7375)^2 + (6.3 - 6.7375)^2 + (5.4 - 6.7375)^2 + (5.5 - 6.7375)^2 + (6.3 - 6.7375)^2 + (8.3 - 6.7375)^2 = 9.97875

Standard deviation = √(9.97875/8

s = 1.12

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

sample standard deviation

number of samples

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 8 - 1 = 7

Since confidence level = 98% = 0.98, α = 1 - CL = 1 - 0.98 = 0.02

α/2 = 0.02/2 = 0.01

the area to the right of z0.01 is 0.01 and the area to the left of z0.01 is 1 - 0.01 = 0.99

Looking at the t distribution table,

z = 2.998

Margin of error = 2.998 × 1.12/√8

= 1.19

the lower limit of this confidence interval is

6.738 - 1.19 = 5.548

the upper limit of this confidence interval is

6.738 + 1.19 = 7.928

We have 98 % confidence that the true mean time a student sleeps per night is between 5.548 hours and 7.928 hours.

Answer:

\( \huge \boxed{x = \frac{y}{2} }\)

Answer:

2x=y

Step-by-step explanation:

Since x is half of y, 2x=y

Hope this helps :D

The straight-line distance from your starting point at the end of driving is approximately 24.4 miles.

To find the straight-line distance from your starting point, we can use the Pythagorean states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The distance you drove west and turned left forms two sides of a right triangle, and the straight-line distance from the starting point will be the hypotenuse.

Given:

Distance driven west = 20 miles

Distance driven south = 14 miles

Using the Pythagorean:

Hypotenuse² = (Distance driven west)² + (Distance driven south)²

Hypotenuse² = 20² + 14²

Hypotenuse² = 400 + 196

Hypotenuse² = 596

To find the length of the hypotenuse (straight-line distance), we take the square root of both sides:

Hypotenuse = √596

Hypotenuse ≈ 24.4 miles (rounded to the nearest tenth)

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Answer:

3015³

Step-by-step explanation:

Hellllloooo!

One last time why dont we.

This time we are given a cylinder to find the area of which is pretty fun ngl.

Lets take a look at the formula for a cylinder :

Volume = \(\pi\) x r² x h

Now this may look weird cause that house thing is for sure not a number but trust me it is easy once you know what you're looking at.

So that house thing is called pi, and really it is worth 3.14 just it looks like that for some reason. But it is used to find the area of circles.

So what we are going to do is find the area of the circle which is the base of the cylinder and multiply it by the height to find the total area.

Again lets see what we are given :

Radius = 8

Height = 15

Now we plug this into the formula :

Volume = \(\pi\) x r² x h

Volume = \(\pi\) x 8² x 15

(don't forget your little 2 after the radius (8))

So first lets do pi x 8²

=

Which gives us roughly around 201

So now we have the surface area of the base circle of this cylinder, all we have to do is multiply by the height.

So :

201 x 15

=

3015³

(don't forget your little 3 cause its 3D)

But that is your answer.

I hope this helps!

If you have any questions or concerns comment or message me :)

The salesperson's gross earnings for a week, based on the informations, equals to $1,195.

An employees' gross pay is what they earn before taxes, benefits, and other payroll deductions are deducted from their pay. It is opposite of net pay, also known as take-home pay which is the amount left over after all withholdings are deducted.

Data

Weekly base salary of $600 on a quota of $4500.

On the next $2000, she receives a commission of 11 %.

On any additional sales, the commission rate is 15%.

Gross earning is computed as:

= Base salary + (First sales *11%) + (Additional sales*15%)

= $600 + ($2,000*11%) + ($2,500 * 15%)

= $1,195

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Answer:x=2y=3

Step-by-step explanation: I did this before

A, the relation is not a function

in order for something to be a function, x (the input) can't repeat itself more than once

We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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Answer:

2x+9y=18

Step-by-step explanation:

Distribute the denominator

y=-2/9x+2

9y=-2x+2

9y+2x=2

im sorry if this is wrong

the answer

3. k>4

step by step

Answer:k>4

Step-by-step explanation: I got it right on the test :)

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

option A

option A

option C

option B

option D

Exponential growth function: f(t) = a(1 + r)^t

Exponential decay function: f(t) = a(1 - r)^t

a) y = (0.9)^t/2

when the number in the bracket of the exponential function is less than 1, it is a decay

0.9 < 1

1 - 0.9 = 0.1

We say, the function is an exponetial decay (option A)

b) y = (0.81)^t

The number in the bracket of the exponential function is less than 1, it is a decay

1- 0.81 = 0.09

0.81 < 1

We say, the function is an exponetial decay (option A)

c) y = (1.08)^(t +6)

y = (1 + 0.08)^(t +6)

1.08 > 1

Here, the number in the bracket is greater than 1. Hence, it is an exponential growth (option C)

d) y = (0.85)^t

The number in the bracket of the exponential function is less than 1, it is a decay.

1 - 0.85 = 0.15

0.85 = 1 - 0.15

Rewritting it: y = (1 - 0.15)^t

Where 0.15 = r.

The rate of decay of the function is 15% (option B)

e) y = (1/2)^t

The number in the bracket of the exponential function is less than 1, it is a decay.

1/2 < 1. Also, 1/2 = 0.5

1 - 0.5 = 0.5

Rewritting the function: y = (1 - 0.5)^t

where r = 0.5

The rate of decay of the function is 50% (option D)

Answer:

$63.20

Step-by-step explanation:

Turn percent into decimal (.80) then multiply by 79. 79 times .8 is 63.2, which is $63.20.

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer:

  about 17.7 mph

Step-by-step explanation:

You want the value of v that maximizes F(v) = 3600v/(22+0.07v²).

The derivative of F is ...

  \(F'(v)=\dfrac{3600(22+0.07v^2)-3600v(0.14v)}{(22+0.07v^2)^2}\)

The derivative is zero at the maximum. This is the case when the numerator is zero:

  3600(22 +.07v² -.14v²) = 0

  .07v² = 22

  v = √(22/0.07) ≈ 17.728

Flow rate is maximized at a speed of about 17.7 miles per hour.

Answer:

$194.05 per hour

Step-by-step explanation:

Divide her total earnings by 28:

5433.35/28

= approximately 194.05

So, Sandra earns about $194.05 per hour

The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to

To simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.

Expanding the squared terms

(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)

Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:

(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)

Simplifying the expression, we have:

2 + 2sinxcosx + 2

Combining like terms, we get:

4 + 2sinxcosx

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The values of the variables and the side lengths are

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

AB = AC

Perimeter = 27.3

Using the attached figure, we have

6x - 2y = x + 5

Evaluate

5x = 2y + 5

For the perimeter, we have

AC + AB + BC = 27.3

So, we have

6x - 2y + x + 5 + y + 6.3 = 27.3

Simplify

7x = y + 16

Multiply by 2

14x = 2y + 32

Subtract from 5x = 2y + 5

9x = 27

So, we have

x = 3

This means that

2y + 32 = 14 * 3

2y + 32 = 42

Evaluate

2y = 10

y = 5

For the side lengths, we have

AC + AB + BC = 27.3

So, we have

AC = 6(3) - 2(5) = 8

AB = 3 + 5 = 8

BC = 5 + 6.3 = 11.3

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The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Answer:

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Answer:

47° c

Step-by-step explanation:

using the absolute value function to find the difference, that is

difference = | 42 - (- 5) | = | 42 + 5 | = | 47 | = 47

or

difference = | - 5 - 42 | = | - 47 | = 47