an earthquake can be felt 70 miles from its epicenter if someone is standing 50 miles east and 20 miles north of the epiccenter will they be able to feel the eacrthquake? and explain your reasoning for why they would or would not be able to feel it.

Answer:

Final answer is [tex]f(x)+g(x)=0.5x^2+8x^3[/tex]

Step-by-step explanation:

Given functions are [tex]f\left(x\right)=0.5x^2-2[/tex] and [tex]g(x)=8x^3+2[/tex]

Now we need to add both functions:

[tex]f(x)+g(x)[/tex]

[tex]=(0.5x^2-2)+(8x^3+2)[/tex]

[tex]=0.5x^2-2+8x^3+2[/tex]

[tex]=0.5x^2+8x^3-2+2[/tex]

combine like terms -2 and +2

[tex]=0.5x^2+8x^3[/tex]

Hence final answer is [tex]f(x)+g(x)=0.5x^2+8x^3[/tex]

Answer:

[tex] f ( x ) + g ( x ) = 8 x^3 + 0.5 x ^2 [/tex]

Step-by-step explanation:

We are given the following two functions and we are to find their sum:

[tex] f ( x ) = 0.5 x ^ 2 - 2 [/tex]

[tex] g ( x ) = 8 x ^ 3 + 2 [/tex]

Adding the two given functions to get:

[tex] f ( x ) + g ( x ) = 0.5 x ^ 2 - 2 + 8 x ^ 3 + 2 [/tex]

Rearranging them to solve further:

[tex]f(x)+g(x) =8x^3+0.5x^2+2-2[/tex]

So finally we get:

[tex]f(x)+g(x) =8x^3+0.5x^2[/tex]

Answer:

Mike went 9 miles on 1/8 of a tank of gas, how many miles can he go with his full tank.

Then to solve this, we would divide 9 by 1/8

9 ÷ 1/8 = 72

[tex]f(x) = 3 {x}^{2} + 5x + 1 \\ \\ \frac{f(x + h) - f(x)}{h} \\ \\ \frac{(3(x + h)^{2} + 5(x + h) + 1) - (3 {x}^{2} + 5x + 1 }{h} \\ \\ \frac{(3( {x}^{2} + 2xh + {h}^{2}) + 5x + 5h + 1) - 3 {x}^{2} - 5x - 1}{h} \\ \\ \frac{3 {x}^{2} + 6xh + 3 {h}^{2} + 5x + 5h + 1 - 3 {x}^{2} - 5x - 1 }{h} \\ \\ \frac{6xh + 3 {h}^{2} + 5h}{h} \\ \\ \frac{h(6x + 3h + 5)}{h} \\ \\ = 6x + 3h + 5[/tex]

Answer:ayy but imma rapper follow me on souncloud kid ice pvt

Step-by-step explanation:

To find the new prices of computers after a 12% increase, use the expression p + 0.12p or 1.12p.

To find the new prices of computers after a 12% increase, you can use the expression p + 0.12p. This expression represents the regular price p plus 12% of p. Simplifying this expression, we get 1.12p as the new prices of computers.

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Answer:

The dimensions of the dilated rectangle are 30 cm x 16 cm

Step-by-step explanation:

we know that

To find the dimensions of the dilated rectangle, multiply the original dimensions by the scale factor

so

Let

A'B'C'D'------> the dilated rectangle

z-------> the scale factor

we have

z=2

A'B'=AB*z=15*2=30 cm

B'D'=BD*z=8*2=16 cm

The dimensions of the dilated rectangle are 30 cm x 16 cm

Find the Greatest Common Factor (GCF)

GCF = 4

Factor out the GCF. (Write the GCF first, then in parenthesis, divide each term by the GCF)

4(16w^4/4 + 16w^2/4 - 140/4)

Simplify each term in parenthesis

4(4w^4 + 4w^2 - 35)

Split the second term in 4w^4 + 4w^2 - 35 into two terms

4(4w^4 + 14w^2 - 10w^2 - 35)

Factor out common terms in the first two terms, then in the last two terms.

4(2w^2(2w^2 + 7) - 5(2w^2 + 7))

Factor out the common term 2w^2 + 7

= 4(2w^2 + 7)(2w^2 - 5)

Answer:

60

Step-by-step explanation:

This question is super common sense which probably makes you

want to rethink the simple answer. Very plainly it says: Tuesday the Baker makes a total of 60 muffins. It doesn't tell us what "kind" of muffins they

are or are not. So then it asks how many "blueberry" muffins does the Baker bake on Tuesday.

They are only giving us one number that the Baker bakes on Tuesday and that number is 60

Answer:

2 hours and 5 minutes.

Step-by-step explanation:

1 hour and 15 minutes. A quarter of an hour is 15 minutes. A full paper would be 5/5. So you would take 15x5 which would give you 75 minutes or an hour and 15 minutes

Answer:

1/6

Step-by-step explanation:

The sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.

Answer:

k = 10

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ZYM is an exterior angle of the triangle and

∠'s YZX and ZXY are the 2 opposite interior angles, hence

4k + 5 + 6k + 10 = 115

10k + 15 = 115 ( subtract 15 from both sides )

10k = 100 ( divide both sides by 10 )

k = 10

Answer:

k=10

Step-by-step explanation:

∠ZYX= 180-115= 65 these are supplementary angles adding up to 180°.

The interior angles in the triangle should add up to 180°

Adding the values and then equating to 180° we get the following equation.

65+(4k+5)+(6k+10)=180°

simplifying we get: 80+10k=180

10k=180-80

10k=100

k=10

You can multiply both sides of an inequality by the same, nonzero number, but if this number is negative, you have to flip the sign.

In this case, in order to solve for x, you have to divide by -3 (i.e. multiply by -1/3), so yes, you must switch the sign:

[tex]-3x<15 \implies x>-5[/tex]

Alternatively, you may add 3x to both sides:

[tex]0<3x+15[/tex]

Subtract 15 from both sides:

[tex]3x>15[/tex]

And divide both sides by 3:

[tex]x>5[/tex]

The sign switch here was hidden behind the fact that we switched the two sides of the inequality

Answer: The correct answer is 15 according to  my work that I have done.

Step-by-step explanation:

* Here is all the all information you'll need just in case.

* Hopefully this helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

The correct answer is option 3

arc length = 7.5π

Step-by-step explanation:

It is given a circle with central angle ADC = 45° and radius = 30 cm

To find the length of arc ABC

From the figure we can see that the central angle of arc ABC = 45°

Therefore the arc length = (45/360) * Circumference

To find the circumference

Circumference = 2πr  = 2 * π * 30 = 60π

To find the arc length

Arc ABC  = (45/360) * 60π= 7.5π

Therefore arc length = 7.5π

The correct answer is option 3

Step-by-step explanation:

Less than 2 hours. Since 100 percent of her time is 2 hours and she only spent 20 percent of 2 hours, which is less than 100 percent, it is less than

Answer:

more

Step-by-step explanation:

1/5 times 2 is equal to 3

Answer:

Your answer will be...

Step-by-step explanation:

50 square root of 3 ft

Answer:

option D

[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]

Step-by-step explanation:

Given in the question are 4 number

5√1/3 - [tex]\frac{9}{\sqrt{7} }[/tex]

2 - [tex]\frac{1}{\sqrt{11} }[/tex]

9 + [tex]3\sqrt{\frac{5}{2} }[/tex]

[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]

A Complex Number is a combination of a Real Number and an Imaginary Number

a + ib

where a is real number

            b is imaginary number

            i is 'lota' which is √-1

[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex] is complex number in which

[tex]\frac{8}{3}[/tex] is real part

[tex]\sqrt{\frac{7}{3} } \sqrt{-1}[/tex] = [tex]\sqrt{\frac{7}{3} } i[/tex] is the imaginary part

Answer:

D.  8/3+ sqrt-7/3

Step-by-step explanation:

Answer:

x = 20 feet, y = 40 feet

Step-by-step explanation:

See attached photo for solution

The length of the brick wall is 20 ft and the length of an adjacent side is 40 ft and this can be determined by forming the linear equation in two variables.

Given :

Let 'x' be the length of the brick wall and 'y' be the length of an adjacent side in feet. Then the area of the garden is:

xy = 800    --- (1)

The perimeter of the rectangular garden will be:

Perimeter = 24x + 8x +2(8)y    ---- (2)

Now, solve equation (1) for y.

[tex]y = \dfrac{800}{x}[/tex]   --- (3)

Now, put the value of 'y' in equation (2).

[tex]\rm P=32x+16\times \dfrac{800}{x}[/tex]

Now, for minimizing cost differentiate the perimeter with respect to 'x'.

[tex]\rm P'=32-16\times \dfrac{800}{x^2}[/tex]

Now, equate the above equation to zero.

[tex]0=32-16\times \dfrac{800}{x^2}[/tex]

[tex]\dfrac{800}{2}={x^2}[/tex]

x = 20

Now, put the value of 'x' in the equation (3).

[tex]y = \dfrac{800}{20}[/tex]

y = 40

For more information, refer to the link given below:

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Answer: Independent Variable

Step-by-step explanation:

The independent (or manipulated) variable is something that the experimenter purposely changes or varies over the course of the investigation. The dependent (or responding) variable is the one that is observed and likely changes in response to the independent variable.

Answer:

10.4, or 10 if rounding.

Step-by-step explanation:

26 * .4 = 10.4

A car dealer expected to sell 10.4 ≈ 10 sedans.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A used car dealer estimates that 40% of his customers will buy sedans.

If he sells 26 sedans,

total cars he would have expected to sell,

= 26 x 40/100

= 10.4

≈ 10

Therefore, he expected 10 sedans to sell.

To learn more about the percentage;

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Answer:

Step-by-step explanation:

Unless there is something special about this, the answer is 25 times the area of 1 parallogram.

Area of 1 parallelogram = Base * Height

Base = B = 5.3 cm

Height = H = 3.3 cm

Area = B*H

Area = 5.3 * 3.3

Area = 17.49

There are 25 pieces.

Total Area = 25 * 17.49

Total Area = 437.25 cm^2

Answer:

Theoretical

Step-by-step explanation:

There are 4 pennies out of 16 coins, so the probability is 4/16, which reduces to 1/4.  This is based on the beginning situation, not on the results of an experiment, so it is the theoretical probability.   Theoretically, you have a 1/4 chance of pulling a penny, but that isn't necessarily what will happen.

Answer:

The graph of your question is attached in the picture below.

g(x) = 2^(-x)

Step-by-step explanation:

First of all, we use a graphing tool to plot each of the equations.

If we multiply in the plotter each graph, we can easily see which is the correct option.

h(x) =x+1

g(x) = 2^-x

Answer:

h(x)=-2^-x

Step-by-step explanation:

Answer:

35 square units

Step-by-step explanation:

The surface area of the given solid will be the sum of areas of all of its sides. From the given figure we can see that the sides(faces) of the solid are:

The Area of each triangle is 4 square units. So we need to calculate the area of the squares.

Side length of square = 3 units

Area of square = Length² = 3² = 9

Surface Area of Given Solid = Area of 2 Triangles + Area of 3 Squares

= 2(4) + 3(9)

= 8 + 27

= 35 square units

Surface Area of Given Solid = 35 square units

Answer:

The surface area of the triangular prism is 35 square units

Step-by-step explanation:

It is given that,A solid is composed of squares and equilateral triangles

The area of each triangle is 4 square units

To find the surface area of solid

From the figure we get,

Surface area = Area of 2 triangle + area of 3 squares

There are 2 triangles with area = 4 square units

Area of 2 triangle = 2 * 4 = 8 square units

There are 3 squares with side = 3 units

Area of 1 square = 3 * 3 = 9 square units

Area of 3 squares = 3 * 9 = 27 square units

Surface area = 8 + 27 = 35 square units

The surface area of the triangular prism is 35 square units

Answer:

Its 960

Step-by-step explanation:

Although the total cost depends on various factors, generally, owning a small dog tends to be more expensive than owning a cat, mostly due to additional expenses like training, grooming, and potential healthcare costs.

The question is about the average total cost difference between owning a cat and a small dog for a decade. This can be a complex calculation as different cost factors need to be considered, such as food, vaccinations, regular vet care, grooming etc. However, with the given information, we are unable to compute the exact difference. At this stage, a proper figure cannot be provided due to lack of the essential data about the yearly costs for each pet. However, on average, it is generally considered that owning a small dog can be more expensive than owning a cat due to additional expenses like training, grooming, and potentially higher healthcare costs.

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Answer:

its exponential because the parent function is y=(a)(b)^x

Step-by-step explanation:

Final answer:

The rule y = -3 ∙ 2ˣ defines an exponential function due to the term 2ˣ, where the base 2 is a constant raised to the variable power x, leading to a rapid change in y values as x changes.

Explanation:

The rule y = -3 ∙ 2ˣ represents an exponential function, not a linear function. In a linear function, the variable x is raised to the first power and appears in the form y = mx + b, where m and b are constants, and the graph is a straight line. In contrast, an exponential function is of the form y = a ∙ bˣ, where a and b are constants, and b is the base raised to the power of x.

The presence of the term 2ˣ indicates that as x increases, the value of y changes at an exponential rate. This is characterized by a curve that shows a rapid increase or decrease in value rather than a constant rate of change. Additionally, since the base b (which is 2 in this case) is a positive number other than 1, and it is raised to the power of x, this confirms the exponential nature of the function.

Answer:

The standard form of the equation is y = 2x^2 + 16x + 25

Step-by-step explanation:

To find the standard form, first square the parenthesis.

y = 2(x + 4)^2 - 7

y = 2(x^2 + -8x + 16) - 7

Now distribute the 2

y = 2(x^2 + 8x + 16) - 7

y = 2x^2 + 16x + 32 - 7

Now combine like terms

y = 2x^2 + 16x + 32 - 7

y = 2x^2 + 16x + 25

4 a’s and only 1 b :)

4 is a and only 1 b , your welcome

Answer:

180m^2

Step-by-step explanation:

5 x 3 x 12 = 180m^2

Answer:

I believe the answer is 150m

Step-by-step explanation: