Match each system of equations to its solution represented by an augmented matrix.

9514 1404 393

Answer:

  26,244

Step-by-step explanation:

The sequence is geometric with a common ratio of -3. The general term is ...

  an = (a1)r^(n-1)

The first term is 4, so we have ...

  an = 4·(-3)^(n-1)

For n=9, we find the 9th term to be ...

  a9 = 4·(-3)^(9-1) = 4·3^8

  a9 = 26,244

_____

Additional comment

When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.

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

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!

[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:

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: 4f^2 -4f+1

Step-by-step explanation:

2f-1)^2

This is equal to

(2f-1) * (2f-1)

FOIL

first: 2f*2f = 4f^2

outer: 2f*-1 = -2f

inner: -1*2f = -2f

Last = -1*-1 = 1

Add them together: = 4f^2 -2f-2f+1

Combine like terms 4f^2 -4f+1

Answer:

(2f-1)(2f-1)

2f^2-2f-2f+1

2f^2-4f+1

Answer:

43 a whole number and a whole number

Step-by-step explanation:

Answer:

15 is the constant

Step-by-step explanation:

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

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:

[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:

14.4

Step-by-step explanation:

We can use the pythagorean theorem (a^2 + b^2 = c^2, c being the longest length) to solve this answer.

16^2 - 7^2 = a

256 - 49 = 207.

the square root of 207 is 14.3874...

Rounding to the nearest tenth makes the answer 14.4

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:

C = 65

Step-by-step explanation:

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

Answer:

62.8

Step-by-step explanation:

formula: pi r^2 h

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:

the top answer in your picture is the right answer

Step-by-step explanation:

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:

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:

parallel

Step-by-step explanation:

parallel describes lines

the answer is C

Step-by-step explanation:

parallel is not a type of angle

Answer:

it would be c. 5 1/4

Step-by-step explanation:

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:

4.5x-25.6

Step-by-step explanation:

Hey there!

4.3x – 8.1 + 0.2x – 17.5

COMBINE your LIKE TERMS

(4.3x + 0.2x) + (–8.1 – 17.5)

4.3x + 0.2x = 4.5x

–8.1 – 17.5 = –25.6

Answer: 4.5x – 25.6 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

to get the exam fee

$112•97 ÷ 2

45•49

$272•93 ÷ 3

56•49

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:

x = [tex]\frac{22}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{7+x}{3}[/tex] = 2x - 5 ( multiply both sides by 3 to clear the fraction )

7 + x = 3(2x - 5) ← distribute

7 + x = 6x - 15 ( subtract x from both sides )

7 = 5x - 15 ( add 15 to both sides )

22 = 5x ( divide both sides by 5 )

[tex]\frac{22}{5}[/tex] = x ( x = 4.4 )

954 * 66.76 = 63689.04