The graphs below have the same shape. What is the equation of the red graph?
g(x)= ?
f(x) = x2
g(x) =
A g(x) = x - 2
B. (X) = (x - 2)2
O c. lx) = 8+2
D. g(x) = (x + 2)2

The conversion of 80°C to Fahrenheit is equivalent to 176 degrees Fahrenheit.

Whereas most other nations and for scientific reasons across the world use the Celsius or centigrade scale, the United States uses the Fahrenheit system.

The formula to convert a temperature from the Celsius (°C) scale to its Fahrenheit (°F) equivalent is:

°F = (9/5 × °C) + 32.

To convert 80 degrees Celsius to Fahrenheit, we can use the following formula:

°F = (°C x 1.8) + 32

Plugging in the value for 80°C, we get:

°F = (80 x 1.8) + 32

°F = 144 + 32

°F = 176

Therefore, 80 degrees Celsius is equivalent to 176 degrees Fahrenheit.

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The earthquake off the coast of Vancouver Island, measured at 8.9 on the Richter Scale, was approximately 140 times more intense than the earthquake off the coast of Alaska, measured at 6.5.

The Richter Scale is a logarithmic scale used to measure the intensity of earthquakes. For every 1 unit increase on the Richter Scale, the earthquake's magnitude increases by a factor of 10. Therefore, to calculate the difference in intensity between the two earthquakes, we can use the formula:

Intensity ratio = 10^(Magnitude1 - Magnitude2)

For the Vancouver Island earthquake (Magnitude1 = 8.9) and the Alaska earthquake (Magnitude2 = 6.5), the intensity ratio is:

Intensity ratio = 10^(8.9 - 6.5) ≈ 140.39

Rounding to the nearest whole number, we find that the Vancouver Island earthquake was approximately 140 times more intense than the earthquake off the coast of Alaska.

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Answer: B

0.006

Step-by-step explanation:

Answer:

B. 0.006

Step-by-step explanation:

for 6/10 it would be 0.6, 6/100 is 0.06, and 6/1000 is 0.006. Also the way you would say 6/1000 is either six over one thousand or six thousandths which is also how you would say 0.006.

i hope this helps!

The even integers are 10,12 and 14.

Concept:  An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+1/2, and √2 are not.

Let x,x+2,x+4 be the least, middle and greatest integer respectively.

According to the question,

15< x+x+2+x+4< 21

(3x+6)/2> 15      and    (3x+6)/2< 21

30< 3x+6                      3x+6> 42

24<3x                            3x<36

8<x                                x>12

x=10

x+2=12

x+4=14

Hence, The even integers are 10,12 and 14.

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Answer:

0.3888 m or 38.88 cm

Step-by-step explanation:

I believe the question should be "how high will it rise from the third bounce?"

Initial height = 1.8m

If the ball only rises to 3/5 of the previous height after each bounce, the heights after the first three bounces are;

\(h_0=1.8m\\h_1=\frac{3}{5}*1.8=1.08\ m\\h_2=\frac{3}{5}*1.08=0.648\ m\\h_3=\frac{3}{5}*0.648=0.3888\ m\)

The ball will rise 0.3888 m or 38.88 cm from the third bounce

Answer: 2.92h

Explanation:

Given:

the ball falls and rebounds to 3/5 of the height it is falling.

Height = 1.8m

to calculate the total distance traversed by the ball up to the third bounce

D = h(0) + (3/5) x h(0) + (3/4) h(0) + (3/4) x (3/4) h(0) + (3/5) x (3/5) h(0) the ball falls and rebounds to 3/4 of the height it is falling.

this distance = down + up +down +up +down only

otherwise it will do the after 3rd bounce travel.

D = h(0) { 1 + 2 x (3/5) + 2 x (9/25) }

= 2.92h(0)

The position of a point or figure before any transformation is called "preimage"

After undergoing the transformation the resulting point/figure is called "preimage"

So for this exercise, the "preimage" is point A(5,-2)

This point was reflected over the point (4, -5)

To calculate the x-coordinate of B, first calculate the distance between the x-coordinates of point A and the reflection point.

Next subtract it to de x-coordinate of the reflection point

For the y-coordinate of B you have to follow the same method, first calculate the difference between the y-coordinates of point A and the reflection point:

Next subtract it from the y-coordinate of the reflecting point to determine the y-coordinate of B

The coordinates for point B are (3,-8)

The area of the polygon is 80 units².

What is a Polygon?

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides.

Dividing the polygon into parts marked in the attached figure so as to calculate the area easily.

For triangle, DEF

Area = \(\frac{1}{2} bh\)

        = \(\frac{1}{2}\) × 3 × 4

       = 6 units²

For triangle BCD

Area = \(\frac{1}{2}bh\)

        = \(\frac{1}{2}\) × 2 × 4

        = 4 units²

For trapezoid ABFG,

Area = \(\frac{1}{2} (a + b) h\)

        = \(\frac{1}{2}\) × (5.5 + 12) × 8

        = 70 units²

Hence, total area = 6 + 4 + 70

                             = 80 units².

Therefore, the total area of the polygon is 80 units².

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Answer: The building is 35 meters tall.

Step-by-step explanation:

420 divided by 24 is 17.5  

17.5 x 2 is 35

(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)

The estimation of 0.000007328 is \(7\times10^{-6\).

Estimation is he ability to guess the amount of anything without actual measurement.

The number (n) is given as:

\(\text{n}=0.000007328\)

Multiply by 1

\(\text{n}=0.000007328\times1\)

The number is to be rounded to the nearest millionth.

So, we substitute \(\frac{1000000}{1000000}\) for 1

\(\text{n}=0.000007328\times1\)

\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)

This becomes

\(\text{n}=7.328\times\dfrac{1}{1000000}\)

Express the fraction as a power of 10

\(\text{n}=7.328\times10^{-6\)

Approximate to a single digit

\(\rightarrow\bold{n=7\times10^{-6}}\)

Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).

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Answer:

40 percent

Step-by-step explanation:

22/55 = 0.4

0.4 = 40%

check answer: 55 x 0.4 = 22

A relation between a collection of inputs and outputs exists comprehended as a function.

If the equation be 12x + 8y = 240 then the value of y exists  30 - (12x/8).

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A relation between a collection of inputs and outputs exists comprehended as a function.

Let the equation be 12x + 8y = 240

8y = 240 - 12x

simplifying the above equation, we get

y = (240 - 12x) / 8

y = 30 - (12x/8)

Therefore, the value of y = 30 - (12x/8).

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Answer:

\(9\sqrt{2}\) m.

Step-by-step explanation:

Side of the square is a

Perimeter is 4 * a = 36

a = 36 / 4

a=9

Diagonal is a\(\sqrt{2}\)

\(9\sqrt{2}\)

just a quick addition to the reply above.

Check the picture below.

Answer:

I believe that the answer would be B, the AAS theorem

Step-by-step explanation:

If I remember correctly, the angles and sides are listed in the order they occur. This would make the correct theorem AAS (Angle-Angle-Side)

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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Answer:

13,307 years

Step-by-step explanation:

The expression for the decay of a radiactive material is:

A = B*(1/2)^(t/HL),

where A is the amount remaining, B is the initial amount, t is time (in years), and HL is the half life (in years).

We learn that A is 20% of B, so let's rewrite for that:

0.20B = B*(1/2)^(t/HL)

and we can divide both sides by B to leave us:

0.20 = (1/2)^(t/HL)

The HL is 5730 years:

0.20 = (1/2)^(t/5730)

We need to solve this expression for t, the time (in years) that is required before we have 20% of the carbon remaining.

The answer I get, by graphing, is 13,305 years,  The closest to this is A) 13,307 years.  An algebraic solution might result in a slightly different number.

Answer:

Most of the time, an inequality has more than one or even infinity solutions. For example the inequality: x>3 . The solutions of this inequality are "all numbers strictly greater than 3".The inequality has an infinite amount of solutions.

hope this helps!!:)

Step-by-step explanation:

Answer:

(-8,-10)

Step-by-step explanation:

Rewrite (x+8)2(x+8)² as (x+8)(x+8).

f(x)=3((x+8)(x+8))−10

Expand (x+8) (x+8) using the FOIL Method.

Apply the distributive property.

f(x)=3(x(x+8)+8(x+8))−10

Apply the distributive property.

f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply x by x.

f(x)=3(x2+x⋅8+8x+8⋅8)−10

Move 8 to the left of x.

f(x)=3(x2+8⋅x+8x+8⋅8)−10

Multiply 8 by 8.

f(x)=3(x2+8x+8x+64)−10

Add 8x and 8x.

f(x)=3(x2+16x+64)−10

Apply the distributive property.

f(x)=3x2+3(16x)+3⋅64−10

Simplify.

Multiply 16 by 3.

f(x)=3x2+48x+3⋅64−10

Multiply 3 by 64.

f(x)=3x2+48x+192−10

Subtract 10 from 192.

f(x)=3x2+48x+182

The minimum of a quadratic function occurs at x=\(-\frac{b}{2a}\) If a is positive, the minimum value of the function is f (\(-\frac{b}{2a}\)).

Substitute in the values of aa and b.

x=−\(\frac{48}{2(3)}\)

x=-8

Replace the variable x with −8 in the expression.

f(−8)=3(−8)2+48(−8)+182

Y=-10

Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.

Answer:

1492.885

Step-by-step explanation:

the whole circle has 360°  and an area of pi*r² =pi*24²=pi* 576

for 360°  and A=pi*576

for 360-63= 297°  and A= (297*576*pi) / 360 = 1,492.885 m²

4times, 2inches occur on the interval 0 < x < 20

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Answer:

\((f o g)(x) = f(g(x))\\ = f(x-6)\\ = (x-6)^{2} +4(x-6)-60\\ = x^{2} -12x+36+4x-24-60\\ = x^{2} -8x-48\\ = (x-12)(x+8)\)

Step-by-step explanation:

We have

\(\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} \vec f(\vec r(t)) \cdot \dfrac{d\vec r}{dt} \, dt\)

and

\(\vec f(\vec r(t)) = 5\sin(t) \, \vec\imath - \cos(t) \, \vec\jmath + t \, \vec k\)

\(\vec r(t) = \sin(t)\,\vec\imath + \cos(t)\,\vec\jmath + t\,\vec k \implies \dfrac{d\vec r}{dt} = \cos(t) \, \vec\imath - \sin(t) \, \vec\jmath + \vec k\)

so the line integral is equilvalent to

\(\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (5\sin(t) \cos(t) + \sin(t)\cos(t) + t) \, dt\)

\(\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (6\sin(t) \cos(t) + t) \, dt\)

\(\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (3\sin(2t) + t) \, dt\)

\(\displaystyle \int_C \vec f \cdot d\vec r = \left(-\frac32 \cos(2t) + \frac12 t^2\right) \bigg_0^{\frac{3\pi}2}\)

\(\displaystyle \int_C \vec f \cdot d\vec r = \left(\frac32 + \frac{9\pi^2}8\right) - \left(-\frac32\right) = \boxed{3 + \frac{9\pi^2}8}\)

Answer:

Choice (C) 6

Step-by-step explanation:

We know that Norman is currently 12 years old, and in 6 years he will be twice the age of Michael.  Using the two numbers, we can divide 12 by 2 and evaluate.

\(\frac{12}{2}=6\)

So Michael is 6 years old.

The sample regression equation for the model is Salary^ = 30.10 + 10.85 * Education. The coefficient for Education indicates that as Education increases by 1 unit, an individual's annual salary is predicted to increase by $10,850.

The sample regression equation is obtained through regression analysis, which aims to find the relationship between variables. In this case, the model predicts Salary based on the Education level. The coefficient for Education is 10.85, which means that for each additional year of higher education, the predicted annual salary increases by $10,850.

To calculate the predicted salary for an individual who completed 7 years of higher education, we substitute Education = 7 into the regression equation.

Salary^ = 30.10 + 10.85 * 7

= 30.10 + 75.95

≈ 106.05

Therefore, the predicted salary for an individual who completed 7 years of higher education is approximately $106,050.

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Chelsea made a mistake in simplifying the equation 3(x-3). To find the solution to 4x-5=2(3(x-3)), we first simplify the expression inside the parentheses.

Now, to isolate the variable x, we need to move the terms with x to one side of the equation. Let's subtract 4x from both sides, which gives us -5-4x=6x-18-4x. Simplifying this, we get -5-4x=2x-18.

Next, let's move the constant terms to the other side. Adding 18 to both sides, we get -5-4x+18=2x-18+18. Simplifying this, we get -4x+13=2x.

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Chelsea made a mistake when subtracting the variable term from both sides. By identifying this error and correctly following the steps, we find that the solution to the equation 4x - 5 = 2 3(x - 3) is x = -7.

Chelsea made a mistake in her work when finding the solution to the equation 4x - 5 = 2 3(x - 3). To determine where she went wrong, let's analyze her steps.

Step 1: Distribute 3 to (x - 3): 4x - 5 = 2 3x - 6.
Step 2: Combine like terms: 4x - 5 = 6x - 12.
Step 3: Move the variables to one side and the constants to the other side. Chelsea may have mistakenly subtracted 4x from both sides instead of 6x. This would result in: -5 = 2x - 12.
Step 4: Solve for x. Chelsea may have then incorrectly added 12 to both sides instead of adding 5, leading to: 7 = 2x.
Step 5: Divide both sides by 2: x = 7/2.

Upon reviewing her work, Chelsea should have subtracted 6x from both sides in Step 3, not 4x. This would have resulted in the equation 2x - 5 = -12. Correctly following the steps would lead to the correct solution: x = -7.

Therefore, Chelsea made a mistake when subtracting the variable term from both sides. By identifying this error and correctly following the steps, we find that the solution to the equation 4x - 5 = 2 3(x - 3) is x = -7.

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There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Answer:

The answer is -7, or x = -7.

Answer:

(7,0) ,  (9, -3)

Step-by-step explanation:

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