The graph is of a function in the form p(t)=a*b^t. What is the function.

I think its 57.17 or about 52.2cubic inch

Answer:

1) Side a = 9.55

2) Angle B = 51.36°

3) Angle C = 72.67°

Step-by-step explanation:

We would be solving the above questions using Law of Cosines

1) To find Side a using Law of cosines

a² = b² + c² - 2bc × Cos A

a = √(b² + c² - 2bc × Cos A)

a = unknown

b = 9

c = 11

Angle A = 56°

a = √(9² + 11² - 2 × 9 × 11 × Cos 56°

a = 9.55405

Approximately a = 9.55

2) To find Angle B

We would use the Law of Cosines as well

b² = a² + c² - 2ac × Cos B

Cos B = a² + c² - b²/2ac

B = arc cos ( a² + c² - b²/2ac)

a = 9.55

c = 11

b = 9

B = arc cos (9.55² + 11² - 9²/2 × 9.55× 11)

B = 51.36°

3) To find Angle C

We would use the Law of Cosines as well

c² = a² + b² - 2ac × Cos C

Cos C = a² + b² - c²/2ab

C= arc cos ( a² + b² - c²/2ab)

a = 9.55

b = 9

c = 11

C = arc cos (9.55² + 9² - 11²/2 × 9.55× 9)

C= 72.67°

Answer:

4 units squared and 6 units squared.

Hope this helps!

Answer:

4 sq units and 6 sq units

Step-by-step explanation:

Method:

count dots inside ...(a)

the ones on the border of the shape and divide by two ...(b)

(a)+(b)-1 = area

use that for green and yellow

Green:

(a): 0

(b): 10/2 = 5

0+5-1 = 4 sq units

Yellow:

(a): 3

(b): 8/2 = 4

3+4-1 = 6 sq units

I hope this helps, and plz mark me brainliest!!!!

Answer:

5

Step-by-step explanation:

p(2) - q(2)

3 - (-2)

3 + 2

= 5

Answer:

1a) 15, 7, x+5

1b) 7

2a) 18, 3r

Step-by-step explanation:

1a) Since Claire is 5 years older, she will always be her cousin's age plus 5

1b) Claire is 5 years older, so Claire's cousin is 5 years younger. So, Claire's cousin is Claire's age minus 5

2a) Diego will have the amount of Han's books times 3

Answer:

Clare Questions:

Cousin: 10, Clare: 15

Cousin: 2, Clare: 7

Cousin: x, Clare: x + 5

Cousin: 7, Clare: 12

Diego Questions:

Han: 6, Diego: 18

Han: can't tell if it is a 0 or n, Diego: 0 or 3n, respectively

Step-by-step explanation:

Since Clare is older than her cousin by 5, they will both age at the same rate, thus she will always be 5 years older.

example: if her cousin is 10, Clare will be 10 + 5 years older, therefore being 15.

Since DIego has 3 times as many books than Hans, it multiplies by 3.

example: if Han has 6 books, multiply 6 by 3 and you get Diegos amount, 18.

Answer:

The correct option is;

Choosing 4 neighborhoods at random and poll every home in those neighborhoods

Step-by-step explanation:

Given that the survey relate to how much money people are willing to spend on on concert tickets with the goal of being practical and unbiased, we have;

Required sampling = Random Sampling

The preferable type of random sampling is either;

1) Simple random sampling

Sampling a given percentage of the homes in the area randomly

2) Clustered random sampling

Completely polling entire population of randomly selected area

Given the practicability of sampling concert goers, since people may have different interests, a better representative sample will be to perform the clustered random sampling approach by choosing 4 neighborhoods at random and poll every home in those neighborhoods.

Answer:

B

Step-by-step explanation:

Answer: there a 3 feet to a yard a 36 inches to a yard( 12 inches to a foot) 1/3 of a yard is a foot hope this helps

Step-by-step explanation:

Answer:

Kobe raised x + 24.55

Amari raised x

DJ raised 2x – 15.60

Answer: $641.51

Step-by-step explanation:

A = p (1+ r/n)^nt

A = 500 (1 + 0.025/4)^4*10

A = 641.51

The amount in an account where $500 in invested at 2.5% is $641.51.

Using this formula

A = p (1+ r/n)^nt

Where:

A=Amount

P= Principal=$500

R=Rate=2.5% or 0.025

n=4 (Quarterly)

T=Time=10 years

Let pug in the formula

A = $500(1 + 0.025/4)^4×10

A=$500(1.28302)

A =$641.51

Inconclusion the amount in an account where $500 in invested at 2.5% is $641.51.

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Answer:

D

Step-by-step explanation:

3n - 5p + 2n = 10p

Add like terms.

5n - 5p = 10p

Add 5p to both sides.

5n = 10p + 5p

5n = 15p

Divide both sides by 5.

n = 15/5p

n = 3p

The solution of expression for n is,

⇒ n = 3p

We have to given that,

An expression to solve,

⇒ 3n - 5p + 2n = 10p

Now, We can solve the expression for n as,

⇒ 3n - 5p + 2n = 10p

Combine like terms,

⇒ 3n + 2n = 10p + 5p

⇒ 5n = 15p

Divide by 5 both side,

⇒ n = 15p/5

⇒ n = 3p

Therefore, The correct option is,

D. n = 3p

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Answer:

[tex]a_{n} = -83/40[/tex]

Step-by-step explanation:

Given

[tex]a_{n} = -2 + 3/2 (n-1)[/tex]

In this problem to find 21st term we put 21 in place of n in the equation

[tex]a_{n} = -2 + 3/2 (21-1) = \\a_{n} = -2 + 3/2 (20)\\a_{n} = -2 + 3/40 = (-2*40 +3)/40 \\a_{n} = -83/40\\[/tex]

Thus, 21st term is -83/40.

Answer:

(6,-4)

Step-by-step explanation:

Reflecting over the x axis means flipping the point or line over it. Therefore the point's y value would the opposite from the beginning.

Answer:

Step-by-step explanation:

For any point reflected over the x-axis, the x-coordinate stays the same and the y-coordinate becomes negative.

6 stays the same

4 becomes -4.

Answer: C

Step-by-step explanation:

Given that the line -3x + y/2 = -3 passes through the points (1, 0) and (0, -6).

First rearrange the equation

-3x + y/2 = -3

Y = 2( 3x - 3 )

Y = 6x - 6 ..... (1)

Also, the slope of points (1, 0) and (0, -6). Will be

M = ( -6 - 0 )/( 0 - 1 )

M = -6/-1

M = 6

Using general linear equation

Y = MX + C

Let Y = 0 and X = 1

0 = 6(1) + C

C = -6

Substitutes C back into the equation

Y = 6x - 6 ...... (2)

The value of b that will cause the system to have infinitely many number of solutions is 6

Answer:

6

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

We take the ratio of a side of ABC over the same side on DEF

AB/ DE

35/14

Divide top and bottom by 7

5/2

Answer:

8 birds and 6 mice

Step-by-step explanation:

Given:

Number of heads = 14

Number of legs = 40

Required

How many birds and mice are on the ground?

Let M represents Mice and B represents Birds

Birds and Mice have 1 head each;

So;

[tex]B + M = 14[/tex]

Birds have 2 legs; Mice have 4 legs

So;

[tex]2B + 4M = 40[/tex]

At this point, we have two equations;

Make B the subject of formula in the first equation

[tex]B + M = 14[/tex] becomes

[tex]B = 14 - M[/tex]

Substitute 14 - M for B in the second equation

[tex]2(14 - M) + 4M = 40[/tex]

Open bracket

[tex]28 - 2M + 4M = 40[/tex]

[tex]28 + 2M = 40[/tex]

Subtract 28 from both sides

[tex]28 - 28 + 2M = 40 - 28[/tex]

[tex]2M = 40 - 28[/tex]

[tex]2M = 12[/tex]

Divide both sides by 2

[tex]\frac{2M}{2} = \frac{12}{2}[/tex]

[tex]M = 6[/tex]

Recall that [tex]B = 14 - M[/tex]

So;

[tex]B = 14 - 6[/tex]

[tex]B = 8[/tex]

Hence, there are 8 birds and 6 mice

Answer:

13/15

Step-by-step explanation:

1/5 + 2/3 = x

(1 · 3)/(5 · 3) + (2 · 5)/(3 · 5) = x

3/15 + 10/15 = 13/15 (can't reduce any further)

Answer:

20m-6

Step-by-step explanation:

[tex]6m-2(-7m+3)=\\6m+14m-6=\\20m-6[/tex]

Answer:

20m - 6

Step-by-step explanation:

6m - 2(-7m + 3)

Expand brackets.

6m + 14m - 6

Add like terms.

20m - 6

Answer:

Option 1: Domain of both functions are all real numbers.

Step-by-step explanation:

f(x) = 5x

Domain: All Real Numbers

Range: All Real Numbers

g(x) = 5

Domain: All Real Numbers

Range: y > 5

Answer: Option 1

Step-by-step explanation:

f(x) = 5x

Domain: All Real Numbers

Range: All Real Numbers

g(x) = 5

Domain: All Real Numbers

Range: y > 5

Answer:

0.000432

Step-by-step explanation:

Since we have a negative exponent 4 with a base of 10, we simply just move the decimal place 4 places to the left. When you do so, fill in your remaining zeros and you should get your answer.

Answer:

0.000432

Step-by-step explanation:

4.32ₓ10⁻⁴ =

= 4.32ₓ1/10000

= 4.32/10000

= 0.000432

Answer:

2.92%

3.85%

Step-by-step explanation:

The population in 2000 is 282,194,308.  The population in 2003 is 290,447,644.  This is an increase of 8,253,336.

290,447,644 - 282,194,308 = 8,253,336

To find the percentage in increase, divide the difference by the original number and multiply by 100%.  The population increased by 2.92%.

8,253,336/282,194,308 = 0.0292 × 100% = 2.92%

The population in 2003 is 290,447,644.  The population in 2007 is 301,621,157.  This is an increase of 11,173,513.

301,621,157 - 290,447,644 = 11,173,513

Divide the difference by the original number and multiply by 100%.  The population increased by 3.85%.

11,173,513/290,447,644 = 0.0385 × 100% = 3.85%

Answer:8

Might I be right

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

No of robberies = 125

Percentage = 100%

No of robberies = 'd'

Percentage = 12% lower than 2013 = 100% - 12%

= 88%

No of robberies in 2014 = 88% of the number of robberies in 2013

'd' = 88/100 × 125

'd' = 0.88 × 125

'd' = 110

2014 robberies = 110 in number

Hey there! :)

Answer:

Option C.

Step-by-step explanation:

A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:

Slope of perpendicular line = -3/2.

Remember, the equation for solving for the slope is:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

We must find points that when plugged into this equation, equal to -3/2.

Plugging in the points in option A:

[tex]\frac{2}{3} \neq \frac{-3}{2}[/tex]

Option B:

[tex]\frac{3}{4} \neq \frac{-3}{2}[/tex]

Option C: This is the correct answer.

[tex]\frac{-3}{2} = \frac{-3}{2}[/tex]

Option D:

[tex]\frac{2}{10}\neq \frac{-3}{2}[/tex]

Answer:

The correct option is:

cosθ = -3/5

Step-by-step explanation:

We have been given that:

cotθ = 3/4

such that the terminal side of θ lies in III quadrant.

Consider it a right angled triangle.

We know that:

cotθ = Base / Perpendicular

Which means Base has a magnitude of 3 and Perpendicular has the magnitude of 4.

As It lies in III quadrant, both x and y are negative.

So

Base = -3

Perpendicular = -4

Find the hypotenuse by using Pythagoras Theorem

H² = (-3)² + (-4)²

H = 5

We know that:

cosθ = Base / Hypotenuse

cosθ = -3/5

Answer:

cos=-3/5 and tan=4/3

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Explicit Formula: an = a1(r)^(n-1)

Our r = 1/4 because to get 64 down to 16 you need to divide by 4 or multiply by 1/4

Our a1 is the 1st term of the sequence, which is 64.

Plug it in: an = 64(1/4)^(n-1)

So our only viable option is C.

Answer:

Option C

Step-by-step explanation:

=> [tex]a_{n} = a_{1} * r^{(n-1)[/tex]

Where a1 = 64, r = 1/4

So,

=> [tex]a_{n} = 64 * (\frac{1}{4}) ^{n-1}[/tex]

D is point lies between A and B.

Triangle △ABC has an altitude CD.
angles A and B are both acute.

Altitude is perpendicular bisector to side of triangle from opposite vertex of triangle.

Since △ABC
A and B are acute angles, and that altitude CD has one vertex at c and other is between A and B i.e. D

Thus, the required point of Altitude CD D lies between A and B.

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Answer:

1 - a/variable

2 - d/statistic

3 - b/population

4 - c/data

5 - e/parameter

6 - f/sample

I did comment asking if the two you'd already selected were definitely correct, but no answer was given, so I apologise if this is wrong. This is what I would put.

Answer:

(x + 2) / x(x - 4).

Step-by-step explanation:

x^2-4x-12/x^3-10x^2+24x

= (x + 2)(x - 6) / x(x^2 - 10x + 24)

=  (x + 2)(x - 6) / x(x - 4)(x - 6)          x -6 is common to top and bottom so:

= (x + 2) / x(x - 4).

Answer:

x+2/x(x+4) or x+2/x^2-4x

Step-by-step explanation:

from the numerator x^2-4x-12, factorise the numerator

x^2-4x-12

multiplying x^2 and -12=-12x^2

step2:

find two numbers that when multiplied you get -12x^2 and when added you get -12x^2.

This numbers are -6x and 2x.

Therefore,(x^2+2x)-(6x-12)

x(x+2)-6(x+2)

(x-6)(x+2)

Step3

from the denominator x^3-x^2+24x, factorise the denominator

x^3-x^2+24x

What is common to all the numbers, the number that is common is x

Therefore,x(x^2-x^2+24x).

multiplying x^2+24x=24x^2

step2:

find two numbers that when multiplied you get 24x^2 and when added you get 24x^2.

This two numbers are -6x and -4x.

Therefore,x{(x^2-4x)-(6x+24)}

x{x(x-4)-6(x-4)}

x{(x-4)(x-6)

Step4

Bringing the nunerator and denominator together.

(x-6)(x+2)/x{(x-4)(x-6)}

(x-6) divides each other

Therefore,x+2/x(x-4) or (x+2)/x^2-4x