Simplify 4 + (-3) - 2 times (-6)

By counting the total number of outcomes, we conclude that the spinner has 4 sections.

Let's say that the spinner has N sections.

If we spin it twice, for the first outcome we have N possible outcomes and for the second spin there are N possible outcomes.

Then for the experiment of spinning the spinner twice, the number of outcomes is:

O = N*N

And we know that the number of possible outcomes for spinning the spinner twice is 16, then we have:

16 = N*N = N^2

Solving for N, we have:

N = √16 = 4

Then we conclude that the spinner has 4 sections.

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Answer:

6x-6x56 =-2016

Step-by-step explanation:

You have to subtract, then multiply by 56 to get -2016, as it shows a negative.

Given, a = 1

common difference = 3

Eighth term = a+(n-1)d = 1+(8-1)3

= 1 + 21 = 22

Hope this helps :)

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

Given that;

To determine how long it take to fill the dam, we say;

Time need = Amount of water needed ÷ Pump rate

T = A ÷ r

T = 30000 litres ÷ 75 litres/minute

T = 400 minutes

Note that; 60min = 1hrs

Hence,

T = 6hours 40minutes

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

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Based on the fact that there is power outage, it  is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast.

This is known to be when there is no electrical power due to unforeseen reasons.

Based on the fact that there is power outage, it  is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast and thus things on it may get bad easily. The right thing to do is to leave it closed.

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Answer:

Decreasing

Step-by-step explanation:

Because the equation of that graph is Y=-X, and the - in the X represents that the graph is decreasing.

Answer:

A=108

B=22

C=51

D=28

Step-by-step explanation:

A= AFB is a vertical angle opposite 108

B= congruent angles congruent sides, 11 x 2 sides

C= using angle rules, alternate interior angles of 21 puts 21 in the

triangle with 108, all triangles sum total 180, so (180-21=51)

for the 3rd angle ACD

D=last answer

The two limiting factors that affect both deciduous forests and grasslands very low rainfall throughout the year ,  a wide range of temperatures throughout the year , Option 1 and 3 are the correct answer.

The places where there is not enough rainfall for the forest to sustain and grow , a layer of grass is spread out , these are called as grasslands.

The two limiting factors that affect both deciduous forests and grasslands is that they both receive very low rainfall throughout the year.

and a wide range of temperatures throughout the year , It can get very warm and simultaneously very cold .

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f(x) = 4²ˣ, this is an exponential function. Then the correct option is E.

Let a is the base and x is the power of the exponent function and b is the y-intercept. The exponent is given as

y = aˣ + b

The exonentuial functions are given below.

a. f(x)=x³ + 2x²² -6, this is not an exponential function.

b. f(x) = 5/x, this is not an exponential function.

c. f(x) = 5x + 2, this is not an exponential function.

d. f(x) = 4x², this is not an exponential function.

e. f(x) = 4²ˣ, this is an exponential function.

Then the correct option is E.

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Answer:

9

Step-by-step explanation:

Vertical lines are parallel so the given interior angles are supplementary and their sum is equal to 180:

4x + 9 + 16x - 9 = 180 add like terms

20x = 180 divide both sides by 20

x = 9

Answer:

27,032 Rupees

Step-by-step explanation:

$1.09 x 400 = $436

$436 x 62 = 27,032

(Hope this helps and that it's not wrong ^-^)

Answer:

$42 would be the correct answer.

The area of a 2D form is the amount of space within its perimeter. The correct option is D.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the L block will be the sum of the area of A and B. Therefore, the area can be written as,

Area of L block = Area of A + Area of B

                          = (7×2) units² + (1 × 5) units²

                          = 14units² + 5units²

                          = 19units²

Hence, the correct option is D.

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Answer:

No, I don't think so....

Step-by-step explanation:

Volume = 1/2 * Base * Height * Length

     Height =  Base * tan 10  

The underlined items you have,but there is still 2 unknowns and only one equation to solve them <=====  so I think you need one more piece of the puzzle to solve....    either the base or the length of the prism.

To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.

To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.

Negative exponent Rule :-

[tex]a^{-n} = \frac{1}{a^{n} }[/tex]

Now , we will solve a fraction with negative exponent

For example ; Simplify the fraction [tex]\frac{3^{-2} }{9^{-2} }[/tex]

Solution : [tex]\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}[/tex]

= 9

Here, 9 is the answer of the above example.

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The measure of the angle KNU (∠KNU) of the cyclic quadrilateral is; Option 3: 50°

From the attached cyclic quadrilateral of NUK Energy Company's new logo, we can say that equal angles intercept equal arcs and as such, the measure of angle KNU will be;

∠KNU 1/2 * 100 = 50°

This is because If two inscribed angles of a circle intercept the same arc or arcs of equal measure, then the inscribed angles have equal measure.

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Answer: [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

   We will subtract the amount of water that leaked out from the amount of water originally in the fish tank.

[tex]\displaystyle \frac{3}{4} - \frac{1}{3} =\frac{3*3}{4*3} -\frac{1*4}{3*4} =\frac{9}{12} -\frac{4}{12}=\frac{5}{12}[/tex]

         The fish tank is [tex]\frac{5}{12}[/tex] of the way full.

Make the equations equal and solve for x

For x=0

For x=-1

The solutions are

Graph attached

Answer:

Answer is in pictures

Step-by-step explanation:

36=6x6 90=9x10

256+7=263 104=98+6-2

678=678 81+9=90

The y-intercept of linear function (f- g)(x) is (0,9)

The table of values is given as:

x   -6 -4 -1 3 4

f(x) 15 11 5 -3 -5

g(x) -36 -26 -11 9 14

The equations of the functions is calculated using:

[tex]y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1[/tex]

So, we have:

[tex]f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15[/tex]

Evaluate

f(x) = -2x + 3

Also, we have:

[tex]g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36[/tex]

Evaluate

g(x) = 5x - 6

Next, we calculate (f - g)(x) using:

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = -2x + 3 - 5x + 6

Substitute 0 for x

(f - g)(0) = -2(0) + 3 - 5(0) + 6

Evaluate

(f - g)(0) = 9

Hence, the y-intercept of (f- g)(x) is (0,9)

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The equation of the tangent to the curve at the point corresponding to the given value of the parameter will be x + y = c.

The curves are given below.

x = t⁵ + 1 and y = t⁶ + t

Then differentiate the functions with respect to t, then we have

[tex]\rm \dfrac{dx}{dt} = 5t^4\\[/tex]   ...1

and

[tex]\rm \dfrac{dy}{dt} = 6t^5 + 1[/tex]   ...2

Divide equation 2 by equation 1, then we have

[tex]\rm \dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } = \dfrac{dy}{dx} = \dfrac{6t^5 + 1}{5t^4}[/tex]

Then the slope of the equation at t = −1, then we have

dy/dx = [6(-1)⁵ + 1]/[5(-1)⁴]

dy/dx = (-6+1)/5

dy/dx = -5/5

dy/dx = -1

Then the equation of the tangent line will be

y = -x + c

x + y = c

Where c is a constant.

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In this situation, attendee number thirty will be the first one o receive both the bobblehead and the ticket.

Bobblehead:

Ticket:

It can be concluded the attendee number 30 will be the first one to receive both the ticket and the bobblehead.

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Since it is said to be a hollow rectangular prism,  she will fill it with sand to weigh it about (573 + 9/2) cubic inches.

What is the prism about?

Note that the volume is said to be:

V = L x B x H

316 in = 6 √2 x 2 √3

The answer is 573 while the other part of the prison is 9√2 cubic inches.

Therefore, option A is correct.

See full question below

Chandra is constructing a weighted bookend for her shelf. It is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it

down

6 √(2  in

316 in

2 √3 in

What is the volume of the bookend?

(Hint: The volume of a rectangular prism is the product of its length width and height.)

OA (573 + 9/2) cubic inches

B. 36/12 cubic inches

C 108 cubic inches

D. 216 cubic inches

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The mean absolute deviation of highway fuel economy of various popular vehicles is 4.9

Find the mean of the data set

= (38 + 48 + 25 + 35 + 33 + 37 + 32 + 34 + 23 + 30) / 10

= 335 / 10

= 33.5

Mean deviation of each set;

38 - 33.5 = 4.5

48 - 33.5 =14.5

25 - 33.5 = -8.5

35 - 33.5 = 1.5

33 - 33 .5 = -0.5

37 - 33.5 = 3.5

32 - 33.5 = -1.5

34 - 33.5 = 0.5

23 - 33.5 = -10.5

30 - 33.5 = -3.5

Absolute deviation of each value

|4.5| = 4.5

|14.5| = 14.5

|8.5| = 8.5

|1.5| = 1.5

|-0.5| = 0.5

|3.5| = 3.5

|-1.5| = 1.5

|0.5| = 0.5

|-10.5| = 10.5

|-3.5| = 3.5

Total absolute deviation = 4.5 + 14.5 + 8.5 + 1.5 + 0.5 + 3.5 + 1.5 + 0.5 + 10.5 + 3.5

= 49

Mean absolute deviation = Total absolute deviation / mean

= 49/10

= 4.9

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Answer:

4^3 = 4x4x4

Step-by-step explanation:

its just a shortened version of 4x4 3 times

Answer + Step-by-step explanation:

GRASS method is an acronym for Given, Required, Analysis, Solution, and Statement.

Given:

Required:

Analysis:

50 (total) = x + 1/4 + 5/8 than solve for x

how much money leftover (x)

= total - spent on gif card - spent on new wallet

x = 50 - 1 / 4 - 5 / 8

Solution:

x = 50 - 1/4 - 5/8

x = 50 - 12.5 - 5/8

x = 50 - 12.5 - 31.25

x = 6.25

Statement:

We found that the leftover amount is $6.25.

Therefore, the leftover amount of money with a starting amount of $50.00 and purchasing a gift card and new wallet is in fact $6.25.

The trigonometric function requires a domain restriction of [0, π/2) ∪ (π/2, pi] is tan x, sec x.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

tan x = (sin x)/(cos x)    

sec x = 1/(cos x)

cos x becomes zero at {-π/2,π/2}

Therefore, the both of the function are undefined at {-π/2,π/2}

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