8
Determine the area
of the shaded
region.
2 ft
7.6.4

Answer:

5th term of AP = -33x - 17

Step-by-step explanation:

Given:

Arithmetic sequences;

[-5x - 5], [-12x - 8], [ - 19x - 11] , ...

Find:

5th term of AP

Computation:

First term a = [-5x - 5]

Common difference d = a2 - a1

Common difference d = [-12x - 8] - [-5x - 5]

Common difference d = -12x - 8 + 5x + 5

Common difference d = -7x -3

5th term of AP = a + [n-1]d

5th term of AP = [-5x - 5] + [5-1][-7x -3]

5th term of AP = [-5x - 5] + [4][-7x -3]

5th term of AP = [-5x - 5] -28x -12

5th term of AP = -5x - 5 -28x -12

5th term of AP = -33x - 17

Answer:

Hi Grif05!

Your answer is 7.1 million.

To be exact , 7182000

Step-by-step explanation:

The distance between 2009 and 2012 is 3 years so we multiply.

11x3=33.

Now we must find 33% of 5.4 million.

33 % of 5.4 million is 1782000.

33% of 5400000 = 1782000

We then add 33% of 5.4 million to itself.

We get an answer of 7182000.

Hope this helps! Tell me if I'm wrong please :)

Answer:

0.03703703703

Step-by-step explanation:

Look it up

Answer:

[tex]\frac{x}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]

Required

Solve

[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]

Change the division to multiplication

[tex]\frac{x^2 - 9}{9x + 27} * \frac{x}{x - 3}[/tex]

Apply difference of 2 squares

[tex]\frac{(x - 3)(x+3)}{9x + 27} * \frac{x}{x - 3}[/tex]

Cancel out x - 3

[tex]\frac{x+3}{9x + 27} * \frac{x}{1}[/tex]

Factorize 9x + 27

[tex]\frac{x+3}{9(x + 3)} * \frac{x}{1}[/tex]

Cancel out x + 3

[tex]\frac{1}{9} * \frac{x}{1}[/tex]

Finally, this gives:

[tex]\frac{x}{9}[/tex]

Answer:

the volume of the rectangular swimming pool is 660 meters cubic

Step-by-step explanation:

you multiply 15x11x4

Answer:

D is the right answer [(2f+2) / 2(s^3) ]

Answer:

990 cars

Step-by-step explanation:

Find how many cars pass through at 6am, t=0:

r(0)= 300+600(0)-90(0²) = 300

Find how many cars pass through at 9am, t=3:

r(3)= 300+600(3)-900(3²)=300+1800-810=1290

Find the difference (how many cars pass between 6am and 9am): 1290-300=990

Answer:

48/20=2.4

12/2.4=5

Step-by-step explanation:

Kai can buy 5 bunches of grapes if she has $12.

Answer:

It's 29.

Step-by-step explanation:

48/20=2.4

12x2.4=28.8

Round up to 29.

Answer: Because the question uses the word “distinct” meaning obvious, and clear, I would select AB, AC, CB. (If it’s asking for all the possible line segments, I would select AB, AC, CB, BA, CA, BC).

Answer:

Option C

Step-by-step explanation:

From the picture attached,

In ΔABC,

m∠BAC + y° = 180° [Linear pair of angles are supplementary]

m∠BAC = 180° - y°

m∠ABC = x° [Vertically opposite angles]

m∠ACB = z° [Vertically opposite angles]

By triangle sum theorem,

m∠BAC + m∠ABC + m∠ACB = 180°

(180 - y)° + x° + z° = 180°

x - y + z = 180 - 180

x - y + z = 0

Option C will be the answer.

Answer:

2:3

Step-by-step explanation:

V = 4/3*pi*r^3

Diameter = 2r

The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.

The upper number is called as the numerator and the lower is called the denominator.

For example, 3/4 where 3 will be numerator and 4 will be denominator.

Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.

Now volume of planets(sphere) = πD³/6 where D is diameter of sphere

So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³

⇒ V₁/V₂  ∝ (D₁/D₂)³

Given that V₁/V₂ = 8/27

So 8/27 =  (D₁/D₂)³

D₁/D₂ = 2/3

Hence, the ratio of diameters of two planets will be 2/3.

Learn more about Ratio here:

brainly.com/question/1504221

#SPJ2

Answer:

Ha: μ < 24

The test statistic is z = -1.75.

The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.

Step-by-step explanation:

A recent survey reported that small businesses spend 24 hours a week marketing their business.

This means that the null hypothesis is:

[tex]H_0: \mu = 24[/tex]

A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing.

This means that the alternate hypothesis is:

[tex]H_a: \mu < 24[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

24 is tested at the null hypothesis:

This means that [tex]\mu = 24[/tex]

The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week.

This means that [tex]n = 93, X = 23[/tex]

The population standard deviation is 5.5 hours

This means that [tex]\sigma = 5.5[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{23 - 24}{\frac{5.5}{\sqrt{93}}}[/tex]

[tex]z = -1.75[/tex]

The test statistic is z = -1.75.

Do we reject the null hypothesis? Is there sufficient or insufficient evidence?

The pvalue of the test is the probability of finding a sample mean below 23, which is the pvalue of z = -1.75.

Looking at the z table, z = -1.75 has a pvalue of 0.0401

The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.

Answer:

B) 2 numbers

Step-by-step explanation:

composite #'s:  4, 6

prime #'s:  2, 3, 5

neither composite nor prime:  1

Answer:

1230 is how much he received for the bike

Step-by-step explanation:

Answer: V=120

have an amazing day <3

Answer:what is the answer i dont understand

plz help

Answer:

fraction~ 10/7

decimal~ 1.428571

mixed number~ 1 3/7

Step-by-step explanation: for decimal make sure to put the line over the 428571 because its an on going number

D-Salary(33) or S(33)

D is correct hope this helps

Answer:

1/4

Step-by-step explanation:

2x=-1/10 + 3/5

2x=1/2

x=1/4

Answer:

672 sq. inches

Step-by-step explanation:

total surface area:

[tex]2\times ( \frac{1}{2} \times 7 \times 24 ) + (7 \times 9) +(24 \times 9)+(25 \times 9)\\= 672[/tex]

Answer:

12-c

Step-by-step explanation:

This is quite simple

We know grandma has made 96 cookies and IF all children 8 receive equal cookies

They would have 12 cookies each

Cindy got c less cookies

so we can say

12-c is what Cindy got

I guess grandma got hungry

Answer:

Step-by-step explanation:

98 = 8 = 12

cindy cookies = 12-c

9514 1404 393

Answer:

  (c)  2

Step-by-step explanation:

The product of the lengths to the near and far circle intercepts is the same for both secants.

  3×(3+5) = 4×(4+x)

  24 = 16 +4x . . . simplify

  6 = 4 +x . . . . . . divide by 4

  2 = x . . . . . . . . .subtract 4

Answer:

8b = 48

Step-by-step explanation:

this is because you would substitute the b for the 6 and then multiply straight across giving you a total of 48.

Answer:

8b = 48

Step-by-step explanation:

8 x 6 = 48

Answer:

[tex]f^{-1}(6) = 50[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt{2x} - 4[/tex]

Required

Find [tex]f^{-1}(6)[/tex]

First, we calculate the inverse function

[tex]f(x) = \sqrt{2x} - 4[/tex]

Express f(x) as y

[tex]y = \sqrt{2x} - 4[/tex]

Swap the positions of x and y

[tex]x = \sqrt{2y} - 4[/tex]

Solve for y: Add 4 to both sides

[tex]4 + x = \sqrt{2y} - 4+4[/tex]

[tex]4 + x = \sqrt{2y}[/tex]

Square both sides

[tex](4 + x)^2 = 2y[/tex]

Divide both sides by 2

[tex]y = \frac{(4 + x)^2}{2}[/tex]

Express y as an inverse function

[tex]f^{-1}(x) = \frac{(4 + x)^2}{2}[/tex]

Next, solve for: [tex]f^{-1}(6)[/tex]

Substitute 6 for x

[tex]f^{-1}(6) = \frac{(4 + 6)^2}{2}[/tex]

[tex]f^{-1}(6) = \frac{(10)^2}{2}[/tex]

[tex]f^{-1}(6) = \frac{100}{2}[/tex]

[tex]f^{-1}(6) = 50[/tex]

Answer:

ok

Step-by-step explanation:

Answer:

20:23?

Step-by-step explanation: