A sandbox in the shape of a trapezoid is show below. If a cover is to be made for the sandbox, what if the minimum amount of fabric needed?

Answer:

The answer is C

Step-by-step explanation:

Answer: )D

Step-by-step explanation:

Answer:

[tex]b_n = \frac{2}{27} (9^n)[/tex]

Step-by-step explanation:

Given

[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]

Required

An explicit rule for [tex]b_1,\ b_2,\ b_3,\ \dots[/tex]

Where [tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]

We have:

[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]

Calculate a2

[tex]a_2 = 3a_{2-1}[/tex]

[tex]a_2 = 3a_1[/tex]

[tex]a_2 = 3 * \frac{2}{3}[/tex]

[tex]a_2 = 2[/tex]

Calculate a3

[tex]a_3 = 3a_{3-1}[/tex]

[tex]a_3 = 3a_2[/tex]

[tex]a_3 = 3 *2[/tex]

[tex]a_3 = 6[/tex]

Calculate a4

[tex]a_4 = 3a_{4-1}[/tex]

[tex]a_4 = 3a_3[/tex]

[tex]a_4 = 3*6[/tex]

[tex]a_4 = 18[/tex]

Calculate a5

[tex]a_5 = 3a_{5-1}[/tex]

[tex]a_5 = 3a_4[/tex]

[tex]a_5 = 3*18[/tex]

[tex]a_5 = 54[/tex]

So:

[tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]

[tex]a_1=\frac{2}{3}[/tex]     [tex]a_3 = 6[/tex]     [tex]a_5 = 54[/tex]

The above sequence form a geometric sequence.

Calculate common ratio (r)

[tex]r = \frac{b_3}{b_2}[/tex]

[tex]r = \frac{a_5}{a_3}[/tex]

[tex]r = \frac{54}{6}[/tex]

[tex]r = 9[/tex]

So, the explicit formula is:

[tex]b_n = b_1 * r^{n-1[/tex]

[tex]b_1=a_1[/tex], so:

[tex]b_n = a_1 * r^{n-1[/tex]

[tex]a_1=\frac{2}{3}[/tex], so:

[tex]b_n = \frac{2}{3} * 9^{n-1[/tex]

Split:

[tex]b_n = \frac{2}{3} * \frac{9^n}{9}[/tex]

[tex]b_n = \frac{2}{3*9} (9^n)[/tex]

[tex]b_n = \frac{2}{27} (9^n)[/tex]

The explicit rule is: [tex]b_n = \frac{2}{27} (9^n)[/tex]

Answer:

B - 2(x -7) = 2x - 14

Step-by-step explanation:

If you expand this equation, you get 2x-14 = 2x-14. This means that the equation will be true for any x, and has infinitely many solutions

Hopefully this helps! Let me know if you have any questions

Answer:

y = -2/5x-6

Step-by-step explanation:

i hope this helps :)

Answer:

D. 110

Step-by-step explanation:

CDHK ≅ MPTS

So: D = P

P = 110°

D = 110°

Answer:

x = 5

Step-by-step explanation:

18 + 9 = 27

27/9 = 3

3x = x + 10

2x = 10

x = 5

Answer:

Option D is correct.

Value of x is, 10 units.

Step-by-step explanation:

Given that:  

From the given figure, we have;

AP = 3 units , PB = 6 units , QC = 20 units and AQ = x units.

then, by triangle proportionality theorem;

Substitute the given values, to find the value of x;

By cross multiply we have;

Divide both sides by 6 we get;

10 = x

Therefore, the value of x is, 10 units

Answer:

1. His tax is $37,490.

2. His average effective tax rate is 22%

3. His average tax rate is 24.93%

4. His marginal tax rate is 35%.

5. His tax liability will fall by $170

6. His tax liability will fall by $500.

Step-by-step explanation:

Note: This question is not complete. See the attached pdf file for the complete question.

The explanation of the answer is now given as follows:

1. What is his tax?

Note: See the attached excel for Mr. Hoosier's Tax Computation Based on the Tax Table in the question.

From the attached excel file, the Net tax is $37,490 which is his tax.

Therefore, his tax is $37,490.

2. His average effective tax rate

His average effective tax rate = Tax /  (Taxable income + Tax exempt income) = Tax /  (Taxable income +Municipal Bond interest) = $37,490 / ($150,400 + $20,000)  = 0.2200, or 22%

3. His average tax rate

Average tax rate = Tax / Taxable Income = $37,490 / $150,400 = 24.93%

4. His marginal tax rate

His marginal tax rate is 35% as in the tax computation used based on the tax table.

5. Assume he discovers that he is eligible for a 500 tax deduction. How much does his tax liability fall with that addition?

Taxable income = 150400 - 500 = $149,900

Based on the tax table in the question, we have:

Tax = 8850 + (149900 - 55000) * 30% = $37,320

Reduction in tax liability = $37,490 - $37,320 =$170

Therefore, his tax liability will fall by $170

6. Now he discovers that he is eligible for a $500 tax credit. How much does his tax liability fall due to this credit?

The purpose of the tax credit is to make tax liability reduced dollar by dollar.

Therefore, if he discovers that he is eligible for a $500 tax credit, his tax liability will fall by $500.

Answer:

98

Step-by-step explanation:

x+30+52=180

x+82=180

x=180-82

x=98

Answer:

it is a decay, it's value drops by 4%

Step-by-step explanation:

0.96 is less than 1 so it is a decay function.

1-0.96 = 0.04 so it drops at the rate of 4%

Answer:

its much closer to 0

Step-by-step explanation:

1/2 is more 5/10 and 0 is 0/10

0 is one away from one and 5 is 4 away

Answer:

Disagree, Disagree, Agree

Step-by-step explanation:

Hope this helps! BTW I am in 6th grade doing 8th grade math so trust me if u want.

Answer:

The difference is [tex]\frac{3}{8}[/tex] mile

Step-by-step explanation:

The question is incomplete, as the line plot is not attached.

I will answer this question with the attached line plot.

From the question:

[tex]Joaquin = \frac{3}{4}[/tex]

From the attached line plot:

[tex]Least = \frac{3}{8}[/tex]

The difference (D) is:

[tex]D = Joaquin - Least[/tex]

[tex]D = \frac{3}{4} - \frac{3}{8}[/tex]

Take LCM

[tex]D = \frac{6 - 3}{8}[/tex]

[tex]D = \frac{3}{8}[/tex]

Hence: The difference is [tex]\frac{3}{8}[/tex] mile

Answer: No

Step-by-step explanation: No because y is not the same as x.

Answer:

Step-by-step explanation:

100 is the smallest three-digit number. 999 is the highest three-digit number. 102 is the smallest three-digit number divisible by six. 996 is the largest three-digit number divisible by six.

Answer:

Step-by-step explanation:

The largest 3-digit multiple of 6 that uses digits 4 and 4.

The multiple of 6 is an even number which is divisible by 3.

Numbers are only divisible by 3 if the sum of the digits is divisible by 3.

We have 4 + 4 = 8 and the largest digit to add is 7.  

Proof:

Answer: A and D

Step-by-step explanation:

if he earns $8 an hour and he got $168 and h= the hours then

h=8 x 21 = 168

Answer:

The other person is correct.

Step-by-step explanation:

Answer:

C I think

Step-by-step explanation:

Answer:

56x+12y-10.6

Step-by-step explanation:

The multiple choice answer is B.

Answer:

Step-by-step explanation:

2(14y-3y+28x+12.2-5y-17.5) = 2(14y - 3y - 5y + 28x  + 12.2 - 17.5)

                                           = 2( 6y  + 28x - 5.3)

                                            = 2*6y + 28x* 2  - 5.3*2

                                           = 12y + 56x - 10.6

Answer:

p = 6

Step-by-step explanation:

[tex](x^{2})(x^{2})^{2}[/tex]

[tex](x^{2}) ^{2}[/tex] is [tex]x^{2*2}[/tex]

The equation is now [tex](x^{2} )(x^{4})[/tex]

add the two exponents together 2 + 4

the final answer is [tex]x^{6}[/tex]

Answer:

7

Step-by-step explanation:

ok so it 7 but 10 is out so is 3

Answer:

-7

Step-by-step explanation:

30=-5d-5

-5d=30+5

-5d=35

d=35/-5

d=-7

Answer:

The answer is letter A.

Step-by-step explanation:

 The amount that each company charges per hour on the pool is known, however the amount of hours they will be working is not, and is needed to distinguish which company is cheaper. Therefore, the number of hours is  substitued by x and it is right next to the amount they charge for each hour. To find what each company charges, you must sum up what they charge and what they charge per hour, times the hours they will have to work on it( which is unknown and by x).

Answer:I believe it is $955.11

Step-by-step explanation:

Divide the interest by 12 (number of months) which comes to about $1.07 (rounded) multiply that by 12 which give you with how much the total interest is, add it by the total and boom

Answer:

His father spent eight seasons playing in the NBA and an additional eight years playing professional basketball

Step-by-step explanation:

Answer:

for the boys it is 92 then 58 and the total is 150 an then 68 for the girls then for the total it is 100

The missing values in the two-way table is shown in the table in the image attached below.

A two-way table can be described as a table that displays the frequencies of two categorical variables, in such a way that, one category is represented by columns and the other by rows.

Given the information, the missing values in the two-way table would be:

Total number of boys enrolled = 150

Boys that enrolled in Algebra 1 = 2(46) = 92

Boys that enrolled in Algebra 2 = 150 - 92 - 46 = 12

Girls that enrolled in Algebra 1 = 150 - 54 - 28 = 68

Total for boys and girls that enrolled in Geometry = 46 + 54 = 100.

Therefore, the missing values in the two-way table is shown in the table in the image attached below.

Learn more about two-way table on:

https://brainly.com/question/20744563

Answer: 7740

Step-by-step explanation: take 180(n-45) and n represents the sides

The sum of the measures of the interior angles of a convex 45-gon.​

is 7740.

It is a polygon having six faces.

The volume of a cube is a side³.

We have,

Polygon with side = 45

Sum of interior angles of any polygon = (n - 2) x 180 ______(1)

Now,

n = 45

So,

Substituting n in (1)

(n - 2) x 180

= (45 - 2) x 180

= 43 x 180

= 7740

Thus,

The sum of the measure of the interior angles is 7740.

Learn more about cubes here:

https://brainly.com/question/11168779

#SPJ2

Answer:

1/20 of a gallon

Step-by-step explanation:

If she divides 1/4 into 5 glasses, the answer would be 0.05, or 1/20 gallons.