Kara scores 3 points when she completes the first level of a video game. At each level after that she scores 3 times the amount awarded at the previous level. If she completes 4, how many points does she score in all?

The first choice, is exponential, because there is a relatively consistent multiplicative rate of change.

An exponential function is a function whose value is a constant raised to the power of an argument

1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.

These are the data:

Time (min) ------ Temperature (°F)

0 ----------------------- 200

10 ---------------------- 180

20 --------------------- 163

30 --------------------- 146

40 ---------------------131

50 -------------------- 118

60 -------------------- 107

2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.

3) The other two options involve exponential models.

The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.

4) You can prove it:

i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:

y₁ = A [r]¹

y₂ = A[r]²

y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.

ii) Test some data:

180 / 200 = 0.9

163 / 180 ≈ 0.906 ≈ 0.9

146 / 163 ≈ 0.896 ≈ 0.9

131 / 146 ≈ 0.897 ≈ 0.9

118 / 131 ≈ 0.901 ≈ 0.9

107 / 118 ≈ 0.907 ≈ 0.9

As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.

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Answer:

first choice, exponential, because there is a relatively consistent multiplicative rate of change.

explanation:

because it is <3

There are 26 letters in the English alphabet and no it’s not a statistical question

The answer is B and pls mark me brainiest

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

To find the equation of the hyperbola with the given foci and vertices, we need to determine the center, semi-major axis (a), and semi-minor axis (b) of the hyperbola.

The center of the hyperbola is the midpoint between the two vertices:

Center = ((3 + 3) / 2, (5 + (-1)) / 2) = (3, 2).

The distance between the center and one of the vertices gives us the semi-major axis (a):

a = distance between center and vertex = 5 - 2 = 3.

The distance between the center and one of the foci gives us the distance c (the distance from the center to the focus):

c = distance between center and focus = 7 - 2 = 5.

Now, we can find the value of b (the semi-minor axis) using the relationship between a, b, and c in a hyperbola:

c² = a² + b²

5² = 3² + b²

25 = 9 + b²

b² = 25 - 9

b² = 16

b = 4.

Now that we have the center (h, k) = (3, 2), the semi-major axis (a) = 3, and the semi-minor axis (b) = 4, we can write the equation of the hyperbola in standard form:

For a hyperbola (center at (h, k)), the equation is:

(x - h)² / a² - (y - k)² / b² = 1.

Plugging in the values:

(x - 3)² / 3² - (y - 2)² / 4² = 1.

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

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2√3

hope it helps...!!!

The product of the given expression in expanded form is 15r^3 - 20r^2

Taking the product of expression is a way of simplifying the expression.

Given the product below:

(5r^2)(3 r - 4)

Expand

5r^2(3r) - 5r^2(4)

Simpley each term

15r^3 - 20r^2

Hence the product of the given expression in expanded form is 15r^3 - 20r^2

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Answer: 6.91666666667, or 6 11/12

The correct option to the statement above is "Manuel está equivocado por qué se demorarían más".

La declaración es sobre cómo ir (la dirección a tomar) a la antigua oficina central de correos, ya que la gente quiere ir a ver una exposición del archivo general de la nación. El primer punto de su movimiento fue desde el Palacio de Gobierno.

English interpretation of the above "The statement is about how to go  (the direction to take ) to old central post office as the people wants to go and see an exhibitions of the general archive of the nation. The first point of their movement was from the Government Palace".

Conclusively,  Manuel decides the direction to take that is a passage from  Santa Rosa  but they believe that Manuel is mistaken and why they would take a long time more" as in the statement  "Manuel está equivocado por qué se demorarían más".

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The feedback that should be given by another lab during peer review is based on the data contained in the work.

The term peer review refers a detailed analysis of the work that has been done by a scientist to determine the accuracy and reliablity of the data and the conclusions.

The feedback that should be given by another lab during peer review is based on the data contained in the work. Since the work is not shown here, we can not exactly tell the accurate peer review for the work.

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Answer:

the line of best fit is not reasonable because it has more points below it than above it.

Step-by-step explanation:

Answer:

It is always 12 times the number of years.

Step-by-step explanation:

12 months in 1 year, 12:1

24 months in 2 years, 24:2

36 months in 3 years 36:3

and so on

Answer:

A=24° B=30°

Step-by-step explanation:

add the ratios

4+5=9

A:4/9×54°

A=24°

A+B=54(make B subject)

B=54-A

B=54-24

B=30°

Answer:

1. If p is true and q is false, the p -> q is never true.

2. When p is false and q is true, then p or q is always true.

3. If p is true and ~ q is false, then p -> ~ q

N

is never false.

4. If p is true and q is true, then ~ p -> ~ q is always true.

5. If p->q is true and q is true, then p is

always true.

Further Explanation:

The logic gates are used here.

Here, the symbol -> is for implication. Implication p-> q means that if p is true then q must be true.

So let us look at all the questions one by one.

1. p is true and q is false, the p -> q is always, sometimes, never true.

p-> q

true -> false

The true should imply true so the given statement will never be true.

2. When p is false and q is true, then p or q is always, sometimes, never true.

false or true

We know that in or gate even if one input is true, the whole output is true. So this statement will be always true given p is false and q is true.

3. If p is true and~q is false, then P q is always, sometimes, never false.

This translates to:

true -> true

So it will never be false.

4. If p is true and q is true, then ^p -> ~q is always, sometimes, never true.

This translates to:

false false

This will always be true.

5. If p->q is true and q is true, then p is always, sometimes, never true.

If p->q is true and q is true then will always be true. "Implies to" states that in p->q, in order for q to be true p has to be true. So p will always be true.

Answer:

D

Step-by-step explanation:

Using the concepts of the mean and of the median, it is found that the correct option is given by:

both in the interval 6–10.

To calculate the mean from the histogram, we take the midpoint of each interval and calculate the weighed mean, hence:

[tex]M = \frac{14(3) + 9(8) + 5(13) + 2(18)}{30} = 7.17[/tex]

The median is in the interval in which the 30/2 = 15th measure is, which is also in the interval 6-10, as the interval 1-5 had 14 adults, and after interval 6-10, there are 23 adults.

Hence, the correct option is given by:

both in the interval 6–10.

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Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Cause you can actually get multiple different answeres which you can make a statistical question on

Answer:

68009554368

Step-by-step explanation:

mulitply all the numbers by each other

Answer:

D

Step-by-step explanation:

there is a curve

Step-by-step explanation:

what is 1/2 as a fraction 1/2 btw of 80 = 50%

50% is your answer

Answer:

50% is the answer

Step-by-step explanation:

1/2 of 80% = 50%

Answer:

What is the car's rate in kilometers per minute?

[tex]0.9\frac{km}{min}[/tex]

How many kilometers will the car travel in 5 minutes?

[tex]4.5\ km[/tex]

Step-by-step explanation:

If we know:

[tex]\frac{54\ km}{1\ hour}[/tex]

And there are 60 minutes in an hour:

[tex]\frac{1\ hour}{60\ minutes}[/tex]

We can do:

[tex]\frac{54\ km}{1\ hour} * \frac{1\ hour}{60\ minutes} = \frac{54\ km}{60\ minutes} = 0.9 \frac{km}{min}[/tex]

From here, we figure out the distance from minutes:

[tex]0.9\frac{km}{min} * 5 = 4.5\ km[/tex]

Answer:

Step-by-step explanation:

Remark

If you sweep all the way around the circle starting at 13,0, you go through 360 degrees.  

The formula for that event: Circumference = 2*pi * r

If you stop after sweeping out 135 degrees, then you need to multiply by a fraction.

Formula and givens

Arc RST = (135/360) * 2 * pi * r

pi = 3.14

r = 13

Solution

Arc RST = .375 * 2 * 3.14 * 13

Answer = 30.615

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The table shows the amount of rainfall recorded over the first 10 months of a year. Draw a line plot, if needed.

Amount of Rainfall (inches)

Part A

What is the difference between the greatest and least amounts of rainfall in a month?

Let x = the unknown.

Greatest amount= 3 1/4

Least amount = 3/4

x= 3 1/4 - 3/4 = 2 1/2 inches.

Part B

If the last 2 months of the year each have the most common amount of rainfall, how much more rain will fall for the year?

The number with the most common amount is  2 3/4.

2 3/4 + 2 3/4 = 5 1/2 inches.

Answer:

D. 2(√34 + √106)

Step-by-step explanation:

1) Find the hypotenuse of a larger triangle infused in the kite since perimeter means the boundary of a shape. To do so, we need to apply the Pythagoras Theorem.

c² = a² + b²

c² = 5² + 9²

c² = 25 + 81

c² = 106

c = √106

2) Find the hypotenuse of the a smaller triangle infused in the kite.

c² = a² + b²

c² = 3² + 5²

c² = 9 + 25

c² = 34

c = √34

3) Apply the the formula for the perimeter of a kite; 2(a + b), where a is the smaller triangle and b is the larger triangle or vice versa.

= 2(√34 + √106)

Answer:

[tex]a_{n}=5\times \left( 7\right)^{n-1}[/tex]

Step-by-step explanation:

[tex]a_{n}=a_{n-1}\times7[/tex]

Then the common ratio = 7

Then the explicit formula is :

[tex]a_{n}=a_{1}\times \left( 7\right)^{n-1}[/tex]

    [tex]=5\times \left( 7\right)^{n-1}[/tex]

Answer is: D. 352 pi ✅

When finding surface area, multiply two times pi times the radius times the height.

[tex]A = 2\pi rh+2\pi r^2[/tex]

Now, you need to split these four values into an actual equation.

2 followed by pi radius-height plus two pi radius, is actually the formula for surface added to the formula of area, so;

[tex]2\pi rh+2\pi r^2 = 2 * \pi * 8(radius) * 14 + 2(height~plus~the~two) * \pi * 8^2[/tex]

Solve.

the result is 1105 according to order of operations.

Divide 1105 by pi to get the answer. Pi is 3.14... so for every 3.14..., you count that as one.

[tex]1105 / 3.14 = 351.91...[/tex] which rounds to 352

Therefore, your answer is 352π units²

Answer: 54

Step-by-step explanation:

First we add 17 plus 18 to dins total number of students I got 35

Then we make ratio

3/35

So we know we have total number of 630 kids then we make a ratio with no teacher so x

X/630

Lin both together then done ☑️

Answer:

Coefficient

Step-by-step explanation:

5 is the Coefficient for x

Answer:

[tex]\displaystyle A =\frac{B*H}{2}[/tex]

Step-by-step explanation:

    To find the area of a triangle, we can use the formula of:

[tex]\displaystyle A =\frac{B*H}{2}[/tex]

    This formula comes from the area of a rectangle, because a triangle is half a rectangle.

How to find the area of a triangle?

Triangle :

A polygon which has three sides is called a triangle.

Formula :

Assume a rectangle ABCD and let the height be h and base be b.

If we draw a diagonal from one vertex, it will break the rectangle into two congruent or equal triangles. The area of each triangle is half the area of the rectangle.

The area of the triangle ABC is [tex]\dfrac{1}{2}[/tex] × base × height.

[tex] \star \small\boxed{ \rm{ Area \: of \: a \: triangle = \dfrac{1}{2} × Base × Height}} [/tex]

This formula comes from the area of a rectangle. A triangle is half as big as the rectangle that surrounds it, that is why the area of a triangle is one-half base times height.

Answer:

-7?

Step-by-step explanation:

I mean, is the question 20 - 27 =? Or it's something else? Lol.

20 - 27 = -7, it's very straightforward cannot write it in more detailed way. When we substract a number from another and the first one is smaller the result is a negative number. Imagine someone sells up to 3 apples, you ask him to give you 5. He gives you all 3 of his so he has 0 but you force him to go and get another 2 for you. He lost another 2, so he has less than 0 now. He has -2 apples: 3 - 5 = -2.

Now, I don't know if this is the question or these are set of exercises you must solve and your picture just didn't upload. Let me know if you need help with anything else.