Joe's age is x years. Match the descriptions of the ages of Angela, Bruce, Callie, and Deshawn with the expressions in terms of Joe's age, X. NIH +3 NIH 5+4 4 (2x+4 41 +2 41-3 Bruce's age is 4 years more than half Joe's age. Callie's age is 3 years less than 4 times Joe's age. Deshawn's age is 3 years more than half Joe's age. Angela's age is 4 years more than twice Joe's age.​

Answer:

to get the exam fee

$112•97 ÷ 2

45•49

$272•93 ÷ 3

56•49

[tex]h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} [/tex]

[tex]y = a{(x - h)}^{2} + k [/tex]

Where the a-term determines how wide, narrow, upward or downward the graph is.

The h-term determines the horizontal shift of graph. (x-axis)

The k-term determines the vertical shift of graph. (y-axis)

The vertex of graph is at (h,k). We can find the vertex by using the given formulas.

From the equation, the coefficients are:

[tex] \begin{cases} a = - 1 \\ b = 12 \\ c = - 31 \end{cases}[/tex]

Substitute these values in the formulas.

Find the value of h

[tex]h = - \frac{12}{2( - 1)} \\ h = - \frac{12}{ - 2} \\ h = - \frac{ - 6}{1} \longrightarrow - ( - 6) = 6 \\ h = 6[/tex]

Hence, the value of h is 6.

Find the value of k

[tex]k = \frac{4( - 1)( - 31) - {(12)}^{2} }{4( - 1)} \\ k = \frac{124 - 144}{ - 4} \\ k = \frac{ - 20}{ - 4} \longrightarrow \frac{5}{1} = 5 \\ k = 5[/tex]

Hence, the value of k is 5. Then we substitute both value of h and k in the vertex form

[tex]y = a {(x - h)}^{2} + k \\ y = - 1 {(x - 6)}^{2} + 5 \\ y = - {(x - 6)}^{2} + 5[/tex]

Since the vertex is at (h,k). Therefore the value of h is 6 and k is 5. Therefore:

[tex] \large{(h, k)=(6, 5)}[/tex]

(6,5) is the vertex.

Answer:

The slope is 0, or it is a zero slope.

Step-by-step explanation:

The y coordinate is 4 throughout, and if it were the x coordinate that stayed the same for both points, it would be a undefined slope.

Answer:

15 is the constant

Step-by-step explanation:

Does not have a variable next to it which means it remains a constant

Answer:

Step-by-step explanation:

Since the relationship in the table is not a function, Rae could put any values for x that is already in the table.

This will result in repeat of x-values with different corresponding y-values.

Answer:

223 (rounded to closest one) actual answer would be 222.91479275

Step-by-step explanation:

use formula A=Pe^nt

$280 = Pe^0.019(12)

$280 = Pe^0.228, then evaluate the solution by isolating the variable and dividing each side by the factors which don't contain the variable.

P = 222.91479275

Answer:

[tex]sin(36^{\circ})=\approx 0.5878[/tex]

Step-by-step explanation:

We are given that

[tex]sin(36^{\circ)[/tex]

We have to find the value of [tex]sin(36^{\circ)[/tex]

To find the value of [tex]sin(36^{\circ)[/tex]  we will use table of sin

From sin table

We get

[tex]sin(36^{\circ})[/tex]

=0.587785

We have to round off the answer to four decimal places

Therefore,

[tex]sin(36^{\circ})=\approx 0.5878[/tex]

Answer:

C = 65

Step-by-step explanation:

...........................

Answer:

The slope is undefined

Step-by-step explanation:

We can find the slope using

m = ( y2-y1)/( x2-x1)

    = (4-2)/( -7 -  -7)

    = (4-2)/( -7 +7)

   = 2 / 0

When we divide by 0, the result is undefined

The slope is undefined

Answer:

Undefined

Step-by-step explanation:

Since there is two points we can use (-7,2) and (-7,4) to find the slope

Slope formula for two points:

y2-y1/x2-x1

4-2/-7+7

Which is

2/0

Since 2/0 is not possible the answer will be undefined

Hope this helps!

Answer:

62.8

Step-by-step explanation:

formula: pi r^2 h

Answer:

£4 and £6

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

So, 2x and 3x are the two parts of £10.

Hence,

2x + 3x = 10

5x = 10

x = 10/5

x = 2

2x = 2*2 = 4

3x = 3*2 = 6

Hence, the two parts of £10 are £4 and £6.

Answer:

The answer is 13.72 because 1.4^3=2.744 and 2.744*5=13.72

Answer:

43 a whole number and a whole number

Step-by-step explanation:

The answer is  [tex]\frac{5}{10}[/tex]

And that is correct

Answer:

5/10

Step-by-step explanation:

can be reduced to 1/2 or 0.5

Answer:

it would be c. 5 1/4

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

parallel describes lines

the answer is C

Step-by-step explanation:

parallel is not a type of angle

954 * 66.76 = 63689.04

Answer:

132,  since that angle is corresponding to the line below it.

Using the rule of corresponding angles, we can determine that the transversal line that is intersecting the two parallel lines make x = 132.

Answer:

-20%

My brain is weird on how i figure it out but I divided 48 by 60 and got .80 so i just got the other whole to make it 1 so it is 20%. This is not the correct way to do this but this is how i got my answer.

Answer:

Step-by-step explanation:

Sine doesn't have an inverse, until you restrict the domain to -pi/2 to pi/2. If you don't restrict the domain, then the inverse doesn't exist. Im going to assume the domain is restricted.

Switch the x and y values

[tex]x= \pi/4+ \sin(y)[/tex]

Subtract pi/4 on both sides

[tex]x- \pi/4= \sin(y)[/tex]

Take the arcsine of both sides

[tex]\arcsin(x- \pi/4)=y[/tex]

Answer:

C.

Step-by-step explanation:

correct on edg

Answer:

60*2= 120 words in 2 minutes.

Step-by-step explanation:

Answer:

120 Words

Step-by-step explanation:

if Jeremy can type 60 words in one minute, we just need to multiple that number against 2 that's how we get 120 words in 2 minutes

Answer: C

Step-by-step explanation:

Answer:

I think the answer is a because it not getting any smaller

Answer:

I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.

Step-by-step explanation:

Answer:

Only Cory is correct

Step-by-step explanation:

The gravitational pull of the Earth on a person or object is given by Newton's law of gravitation as follows;

[tex]F =G\times \dfrac{M \cdot m}{r^{2}}[/tex]

Where;

G = The universal gravitational constant

M = The mass of one object

m = The mass of the other object

r = The distance between the centers of the two objects

For the gravitational pull of the Earth on a person, when the person is standing on the Earth's surface, r = R = The radius of the Earth ≈ 6,371 km

Therefore, for an astronaut in the international Space Station, r = 6,800 km

The ratio of the gravitational pull on the surface of the Earth, F₁, and the gravitational pull on an astronaut at the international space station, F₂, is therefore given as follows;

[tex]\dfrac{F_1}{F_2} = \dfrac{ \dfrac{M \cdot m}{R^{2}}}{\dfrac{M \cdot m}{r^{2}}} = \dfrac{r^2}{R^2} = \dfrac{(6,800 \ km)^2}{(6,371 \ km)^2} \approx 1.14[/tex]

∴ F₁ ≈ 1.14 × F₂

F₂ ≈ 0.8778 × F₁

Therefore, the gravitational pull on the astronaut by virtue of the distance from the center of the Earth, F₂ is approximately 88% of the gravitational pull on a person of similar mass on Earth

However, the International Space Station is moving in its orbit around the Earth at an orbiting speed enough to prevent the Space Station from falling to the Earth such that the Space Station falls around the Earth because of the curved shape of the gravitational attraction, such that the astronaut are constantly falling (similar to falling from height) and appear not to experience gravity

Therefore, Cory is correct, the astronauts in the International Space Station, 6,800 km from the Earth's center, are not too far to experience gravity.

Answer:

120

Step-by-step explanation:

3 feet in a yard

36÷3=12

12×10=120

Answer:

She would have $33 left.

Step-by-step explanation:

First input the $2.50 into the "d" variable and multiply 6 by 2.50.

48−(6)(2.5)

Then, subtract 48 by 15.

48−15

Finally, you have your answer.

33