Use the distributive property to write an
expression that is equivalent to each expression. If
you get stuck, consider drawing boxes to help
organize your work.

D. 8(-x-1/2)

e. -8(-x-3/4y+7/2

Answer:

The state can issue 456,976,000 license plates.

Step-by-step explanation:

For digits, it is assumed that we can use 0-9. Thus, there are 10 options for each slot with a digit.

For letters, it is assumed that we can use the 26 letters of the alphabet (i.e. A through Z). Thus, there are 26 options for each slot with a letter.

For this particular problem, the slot method can be used. Assuming that repetition of letters/digits is allowed:

[tex]\frac{10}[/tex] [tex]\frac{26}[/tex] [tex]\frac{26}[/tex] [tex]\frac{26}[/tex] [tex]\frac{26}[/tex] [tex]\frac{10}[/tex] [tex]\frac{10}[/tex]

= 10*26*26*26*26*10*10

=456,976,000.

Therefore, the state can issue 456,976,000 license plates.

Answer:

42 minutes

Step-by-step explanation:

if you are asking how long it takes Chelsea to play her tuba then you do:       67 - 25 = 42

Answer:

Step-by-step explanation:

jhngjnh

Answer:

x = [tex]10^{0}[/tex]

Step-by-step explanation:

From Δ MPL given that; <P = [tex]90^{0}[/tex], exterior angle to M = [tex]136^{0}[/tex] and <L = [tex](4x+6)^{0}[/tex].

In the triangle, the exterior angle is equal to the sum of the two adjacent interior angles. So that;

[tex]136^{0}[/tex] = [tex]90^{0}[/tex] + [tex](4x+6)^{0}[/tex]

      = [tex]90^{0}[/tex] + 4[tex]x^{0}[/tex] + [tex]6^{0}[/tex]

[tex]136^{0}[/tex] = [tex]96^{0}[/tex] + [tex]x^{0}[/tex]

⇒      4[tex]x^{0}[/tex] = [tex]136^{0}[/tex] - [tex]96^{0}[/tex]

        4[tex]x^{0}[/tex]  = [tex]40^{0}[/tex]

Divided both sides by 4 to have;

[tex]x^{0}[/tex] = [tex]10^{0}[/tex]

The value of x is [tex]10^{0}[/tex].

Answer:

The correct answer is in fact 10 degrees.

Step-by-step explanation:

I hope this helps!

Have a great day! :)

Answer:

a) 40 dollars

b) 480 dollars

Step-by-step explanation:

Given the average property tax on a three bedroom home in a certain community modelled by the equation T(x) =20x²+40x+600, the rate at which the property tax is increasing with respect to time in 2008 can be derived by solving for the function T'(x) at x=0

T'(x) = 2(20)x¹ + 40x° + 0

T'(x) = 40x+40

At x = 0,

T'(0) = 40(0)+40

T'(0) = 40

Hence the property tax was increasing at a rate of 40dollars with respect to the initial year (2008).

b) There are 4 years between 2008 and 2012. To know how much that the tax change between the years 2008 and 2012, we will find T(4) - T(0)

Given T(x) =20x²+40x+600

T(4) =20(4)²+40(4)+600

T(4) = 320+160+600

T(4) = 1080 dollars

Also T(0) =20(0)²+40(0)+600

T(0) = 0+0+600

T(0)= 600 dollars

T(4) - T(0) = 1080 - 600

T(4) - T(0) = 480 dollars

Hence, the tax has changed by $480 between 2008 and 2012

Answer:

.25 hour / dollar

Step-by-step explanation:

We want hours per dollar

9 hours/ 36 dollars

1/4 hour / dollar

Complete Question

Determine whether the normal sampling distribution can be used. The claim is p < 0.015 and the sample size is n=150

Answer:

Normal sampling distribution can not be used

Step-by-step explanation:

From the question we are told that

    The  null hypothesis is  [tex]H_o : p = 0.015[/tex]

     The  alternative hypothesis is    [tex]H_a : p < 0.015[/tex]

The  sample size is  n= 150

Generally in order to use  normal sampling distribution  

     The value  [tex]np \ge 5[/tex]

So  

         [tex]np = 0.015 * 150[/tex]

         [tex]np = 2.25[/tex]

Given that  [tex]np < 5[/tex]   normal sampling distribution  can not be used

Based on the normal sampling assumption, the product of the sample size and the proportion must be greater than or equal to 5. Hence, since, the condition isn't met, then the normal sampling cannot be used.

Given the Parameters :

Test if np ≥ 5 :

2.25 < 5

Hence, np < 5 ;

Hence, the normal sampling distribution cannot be used.

Learn more : https://brainly.com/question/19338417

Answer:

4b + .60a

Step-by-step explanation:

b represents the number of bunches of bananas

a represents the number of apple

Multiply the cost by the number purchased of each item and add them together

4b + .60a

Answer:

[tex]\huge\boxed{\$ (4 b + 0.60 a)}[/tex]

Step-by-step explanation:

Bananas represented by b

1 banana costs $4 so b bananas will cost $ 4 b

Apples represented  by a

1 apples costs 0.60 $ so a apples will cost $ 0.60 a

Totally, they will cost:

=> $ (4 b + 0.60 a)

Answer:

B) 36

BA=CD

BA=9

AREA OF TRIANGLE ABC=1/2×b×h

63=1/2×b×9

126=b×9

b=14

BC=14

AD=BC

AE+ED=BC

AE=BC-ED

AE=14-6

AE=8

AREA OF TRIANGLE ACE= 1/2×AE×CD

= 1/2×8×9

=36

Answer:

see below

Step-by-step explanation:

For the first question, you should multiply the scale dimension by 30 to get the actual dimension. This is because the scale is 1:30 where the scale dimension is the 1 and the actual dimension is 30, so therefore, the scale dimension is 1/30th of the actual dimension, so to get the actual dimension, we can multiply the scale dimension by 30. I'm not totally sure how to attach pictures from my phone on my computer (sorry) but an example of a drawing could be two rectangles, the first (this is the scale drawing) having dimensions of 1 by 2 units and the second (this is the actual drawing) having dimensions of 30 by 60 units. I hope this helps!

Hi there!

[tex]\large\boxed{u + xy = 98}[/tex]

We can do substitution to solve.

We are given the values of all of the letters, so:

u = 18

x = 10

y = 8

Substitute:

(18) + (10)(8)

Use the order of operations:

18 + 80 = 98

Step-by-step explanation:

u + xy

make u = 18

x = 10

y = 8

18 + 10 × 8

18 + 80

= 98

I hope this answers your question

Answer:

[tex]P(Dogs) = 0.2025[/tex]

Step-by-step explanation:

Given

[tex]Proportion, p = 45\%[/tex]

Required

Probability of two people having dog

First, we have to convert the given parameter to decimal

[tex]p = \frac{45}{100}[/tex]

[tex]p = 0.45[/tex]

Let P(Dogs) represent the required probability;

This is calculated as thus;

P(Dogs) = Probability of first person having a dog * Probability of second person having a dog

[tex]P(Dogs) = p * p[/tex]

[tex]P(Dogs) = 0.45 * 0.45[/tex]

[tex]P(Dogs) = 0.45^2[/tex]

[tex]P(Dogs) = 0.2025[/tex]

Hence, the probability of 2 people having a dog is [tex]P(Dogs) = 0.2025[/tex]

Answer:

The correct answer would be 15.5 or C.

Answer:

117.8

Step-by-step explanation:

Surface area = πr²+πrl (whee r = radius and l = slant height)

= π×3²+π×3×9.5

= 75π/2

= 117.8

Answer:

x = 5 or x = -2 or 3 - 2 x (derivative)

Step-by-step explanation:

Solve for x over the real numbers:

-x^2 + 3 x + 10 = 0

Multiply both sides by -1:

x^2 - 3 x - 10 = 0

x = (3 ± sqrt((-3)^2 - 4 (-10)))/2 = (3 ± sqrt(9 + 40))/2 = (3 ± sqrt(49))/2:

x = (3 + sqrt(49))/2 or x = (3 - sqrt(49))/2

sqrt(49) = sqrt(7^2) = 7:

x = (3 + 7)/2 or x = (3 - 7)/2

(3 + 7)/2 = 10/2 = 5:

x = 5 or x = (3 - 7)/2

(3 - 7)/2 = -4/2 = -2:

Answer: x = 5 or x = -2

____________________________________

Find the derivative of the following via implicit differentiation:

d/dx(H(x)) = d/dx(10 + 3 x - x^2)

Using the chain rule, d/dx(H(x)) = ( dH(u))/( du) ( du)/( dx), where u = x and d/( du)(H(u)) = H'(u):

(d/dx(x)) H'(x) = d/dx(10 + 3 x - x^2)

The derivative of x is 1:

1 H'(x) = d/dx(10 + 3 x - x^2)

Differentiate the sum term by term and factor out constants:

H'(x) = d/dx(10) + 3 (d/dx(x)) - d/dx(x^2)

The derivative of 10 is zero:

H'(x) = 3 (d/dx(x)) - d/dx(x^2) + 0

Simplify the expression:

H'(x) = 3 (d/dx(x)) - d/dx(x^2)

The derivative of x is 1:

H'(x) = -(d/dx(x^2)) + 1 3

Use the power rule, d/dx(x^n) = n x^(n - 1), where n = 2.

d/dx(x^2) = 2 x:

H'(x) = 3 - 2 x

Simplify the expression:

Answer:  = 3 - 2 x

Answer:

x< - 8

Step-by-step explanation:

3x <-24

x < - 24

3

x< - 8

x < - 8

Step-by-step explanation:

3x < - 24

Divide 3 on both sides,

3x / 3 < - 24 / 3

x < - 8

3^x + 3^2 = 90

Simplify the known power:

3^x + 9 = 90

Subtract 9 from both sides:

3^x = 81

Take the cubic root of both sides:

X = 4

Answer:

There are fourteen rungs on the ladder

Answer:

b

Step-by-step explanation:

only b has 10 didgets. it could be a since the didgets aren't very random, but then again, i think it's b

Let favorable event“1,2,3” represent preferring the toothpaste and sample space “0,4,5,6,7,8,9” represent not recommending the toothpaste. Option B is correct.

Three out of every ten dentists recommend a certain brand of fluoride toothpaste. Which assignment of random digits would be used to simulate the random sampling of dentists who prefer this fluoride toothpaste to determine.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

While going throughout the option in options C and D number so the sample is not equal to 10 so both the statement is false. Option B is the correct option because the sample space is also equal to 10 and the number of the favorable events is also 3 which is mentioned in the question.

Thus, let favorable event “1,2,3” represent preferring the toothpaste and sample space “0,4,5,6,7,8,9” represent not recommending the toothpaste. Option B is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ5

9514 1404 393

Answer:

 16.25

Step-by-step explanation:

The value of principal P compounded continuously at annual rate r for t years is ...

  A = Pe^(rt)

Then t is ...

  t = ln(A/P)/r

  t = ln(36230/12000)/0.068 ≈ 16.2497

The investment will be worth $36,230 after 16.25 years.

Answer:

113.04 cm^2

Step-by-step explanation:

The area of a circle is

A = pi r^2

We know the radius is 6 cm

A = 3.14 * 6^2

A = 3.14 * 36

A =113.04

here's the answer to your question

Answer:

3/10

Step-by-step explanation:

1) 5/20+1/20= 6/20

2) Both 6 and 20 lowest number on dividing: 2

6 divide by 2= 3     20 divide by 2= 10

5/20+1/20

= 5+1/20

= 6/20

= 3/10

Answer:

three

Step-by-step explanation:

The three countries expect to have an increase in population. Then the correct option is C.

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

The bar chart of the countries is shown.

From the bar chart, the population from 1950 to 2000 and from 2000 to 2050 of Australia increased.

From the bar chart, the population from 1950 to 2000 and from 2000 to 2050 of Hungary first increases then decreases.

And from the bar chart, the population from 1950 to 2000 and from 2000 to 2050 of Canada increased.

From the bar chart, the population from 1950 to 2000 and from 2000 to 2050 in South Korea first increases then decreases.

From the bar chart, the population from 1950 to 2000 and from 2000 to 2050 of Egypt increased.

The three countries expect to have an increase in population.

Then the correct option is C.

More about the histogram link is given below.

https://brainly.com/question/16819077

#SPJ2

Answer:

-129

Step-by-step explanation:

2x+5=0

x=-5/2 [By the remainder theorem]

f(-5/2)=8(-5/2)^3+4(-5/2)^2+13(-5/2)+3

=-125+25-65/2+3

=-129.

There are 4 triangles with base of 5 and height of 8.4

Area of triangle = 1/2 x base x height

Area of triangle = 1/2 x 5 x 8.4 = 21 m^2

Multiply by 4 = 21 x 4 = 84 m^2

Area of the base = length x width = 5 x 5 = 25 m^2

Total area = 84 + 25 = 109 m^2

Answer:

we see it in our left side of the road

Answer:

D. 2x^2 - 2x + 2

Step-by-step explanation:

(3x2 – 2x + 5) – (x2 + 3) add or subtract like terms

3x^2 - x^2 - 2x - 3 + 5 = 2x^2 - 2x + 2

Answer:

2x^2 - 2x + 2

Step-by-step explanation:

Ape-x

Answer:

[tex]\boxed{41.25}[/tex]

Step-by-step explanation:

Hey there!

Well we know the constant of proportionality is 16.5 because on the table it states 1 minute is 16.5 gallons.

So we can set up the following,

W = 2.5*16.5

W = 41.25

Hope this helps :)

Answer:

The amount of water in the bathtub after 1 minute is 16.5 gallons. So, the amount of water in the tub after 2.5 minutes of filling will be

2.5 minutes × 16.5 gallons per minute = 41.25 gallons.

There will be 41.25 gallons of water in the bathtub after 2.5 minutes.

Step-by-step explanation:

Answer:

Since you did not post the the choice I'll go with out them.

Step-by-step explanation:

$12.60 ÷ 1 1/2=

12.60 ÷ 1.5= $8.40

Answer:

$8.40/lb

Step-by-step explanation:

                            $12.60                

The unit price is ------------ = $8.40/lb

                                1.5 lb

Answer:

Step-by-step explanation:

Scholarship and grants are money given to the candidates to support his financial needs in school. It will serves as the means of revenue for the student.

Revenue generated = Grant + Scholarship amount

Revenue generated = $350 + $400

Revenue generated= $750

Total money needed to be spent in school = Tuition + fees

If tuition is $113.67 per credit hour and I used 15 credit hours, total amount of tuition paid = 15* $113.67 =  $1705.05

Total fees =  $660

Total money needed to be spent in school = $1705.05 + $660

Total money needed to be spent in school =  $2365.05

Amount I will need to pay for classes next semester = Total money that will be spent - (grant+scholarship)

=  $2365.05 - $750

= $1615.05

Hence, the amount I will need to pay for classes next semester is  $1615.05