A bird drops a stick to the ground from a height of 92 ft. The function
h= -167 +92 gives the stick's approximate height h above the ground, in feet,
after t seconds. Graph the function. At about what time does the stick hit the
ground? Use inequalities to describe a reasonable domain and range for the
function.

Answer:

[tex](x +9)(x+2)[/tex]

Step-by-step explanation:

Given the problem,

[tex]x^2 + 11x + 18[/tex]

Factor the problem. Find factors of (18) such that when added the result is (11).

[tex](x +9)(x+2)[/tex]

Test by distributing, multiply each term in one parenthesis by every term in the other parenthesis,

[tex](x+9)(x+2)\\\\x^2 + 2x + 9x + 18\\\\x^2 + 11x + 18[/tex]

Answer:

(x+9)(x+2) is your answer

Step-by-step explanation:

x2+ 11x+ 18

x²+9x+2x+18

x(x+9)+2(x+9)

(x+9)(x+2)

Answer:

The answer is C

Step-by-step explanation:

Answer: )D

Step-by-step explanation:

Answer:

When an equation in one variable is solved using a system of equations, the solution is always the x-coordinate of each intersection.

Step-by-step explanation:

Answer:

1st part: X Coordinate

2nd part: A and C

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:

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:

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:

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.

Answer:

160

Step-by-step explanation:

72x100/45. Hope this helps

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: No

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

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:

∠b = 64°

Step-by-step explanation:

We know that a complete rotation is 360°, so:

∠b + 57° + 239° = 360°

∠b = 360° - 57° - 239°

∠b = 64°

Answer: By finding the differences between the y-values, we can determine the degree of the model for the data.

If the first difference is the same value, the model will be linear.

If the second difference is the same value, the model will be quadratic.

Step-by-step explanation:

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:

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

y=360

Step-by-step explanation:

y goes up by 30 everytime and would start at 30 if X =1, so X x 30= y. 12 x 30= 360=y

Answer:

300 or B

Step-by-step explanation: give the other person brainliest

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:

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:

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

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

x+30+52=180

x+82=180

x=180-82

x=98

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:

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:

Top left triangle has the greatest area

Step-by-step explanation:

Area of a triangle:

area = base × height / 2

a = bh/2

Top Left Triangle:

a = 6 × 5.2 / 2

a = 31.2 / 2

a = 15.6

Top Right Triangle:

a = 8 × 2.9 / 2

a = 23.2 / 2

a = 11.6

Bottom Left Triangle:

a = 2 × 7.9 / 2

a = 15.8 / 2

a = 7.9

Compare areas:

15.6 > 11.6 > 7.9