Solve by elimination.. SHOW YOUR WORK. -3x + 2y = 18
-9x - 5y=21

Answer:

[tex]\sum_{i=1}^{12}(3i-1) = 222[/tex]

Step-by-step explanation:

The given series is

[tex]\sum_{i=1}^{12}(3i-1)[/tex]

The first term is

[tex]f(1) = 3 \times 1 - 1 = 2[/tex]

The last term is

[tex]f(12) = 3 \times 12 - 1 = 35[/tex]

To find the number of terms in the sequence, solve,

[tex]3i - 1 = 35[/tex]

[tex]3i = 36 \\ i = 12[/tex]

The sum of the first i-terms of an arithmetic sequence is:

[tex]S_i = \frac{i}{2} (f(1) + f(2))[/tex]

We substitute the values to get;

[tex]S_ {12}= \frac{12}{2} (2+ 35)[/tex]

[tex]S_ {12}=6(37)[/tex]

[tex]S_ {12}= 222[/tex]

Step-by-step explanation:

volume of a cone is given by

[tex] \frac{\pi {r}^{2}h }{3} [/tex]

1st cone,

B= 25π cm²

πr²=25π

r²=25

r=5

Here, volume = π(5)²×3.5/3

=29.1π cm³

2nd cone,

r=3cm

Here, volume = π(3)²×6.5/3

= 19.5π cm³

3rd cone,

r= 4cm

Volume = π(4)²×4.5/3

=24π cm³

4th cone,

B=4π cm²

r²=4

r=2

volume = π(2)²×7.5/3

= 10π cm³

So, the third cone has vol 24π cm³

Answer:

Step-by-step explanation:

B is correct.  This choice accurately describes the sample.

Answer:

25.5

Step-by-step explanation:

[tex]A_{t} = \frac{1}{2} * (6 + 3) * (5 + 2) = 31.5\\\\A_{r} = 2 * 3 = 6\\\\A = A_{t} - A_{r} = 31.5 - 6 = 25.5[/tex]

Answer: Period: 4. Amplitude: 3

Step-by-step explanation: The period is how long it takes for one cycle of the function (one up and down). In this graph, one cycle ends at 4.

The amplitude is how far away the extremes of the graph are from the midline. This graph is a total of 6 units tall, making the amplitude 3. (I usually find total graph height and divide by 2.)

Answer: x=0, x²=0

Step-by-step explanation:

Answer:

x=3 and x=5/2

Step-by-step explanation:

The coordinates of P are (12, 2).

Solution:

Given data:

[tex](x_1, y_1)= A (4, 2)[/tex]  and [tex](x_2, y_2)=B(22, 2)[/tex]

P(x, y) is the point on the line segment AB.

AP : PB = m : n = 4 : 5.

That is m = 4 and n = 5.

Section formula:

[tex]$P(x, y)=\left(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n}\right)[/tex]

[tex]$P(x, y)=\left(\frac{4\times 22 + 5\times 4}{4+5}, \frac{4\times 2 + 5\times 2}{4+5}\right)[/tex]

[tex]$P(x, y)=\left(\frac{88 + 20}{9}, \frac{8+10}{9}\right)[/tex]

[tex]$P(x, y)=\left(\frac{108}{9}, \frac{18}{9}\right)[/tex]

P(x, y) = (12, 2)

Hence the coordinates of P are (12, 2).

10

Step-by-step explanation:

first what is 10 take away 2 is 8 then 10 take away 2 is 8 + 2 equals 10 8 + 2 equals 10 so that's how I got the answer 10

Answer:

the volume of the triangular prism is 1,185.6  in³

Step-by-step explanation:

To find the volume of these triangular prism, we will, first, find the area of the triangle then multiply by the length

Area of triangle = [tex]\frac{1}{2}[/tex] × b×h

From the diagram ,the height of the triangle  is given to be 10.4 in and the base is given to be 12 in.

We will now proceed to insert the values into the formula;

                 Area of triangle  = [tex]\frac{1}{2}[/tex] × b×h

                                              = [tex]\frac{1}{2}[/tex] × 12×10.4

                                                = [tex]\frac{1}{2}[/tex] × 124.8

                                                 =62.4

Area of triangle is 62.4 in²

From the diagram is given to be 19 in

Volume of triangular prism = area of triangular prism × l

                                              =62.4 in²   ×    19 in

                                              =1,185.6  in³

Therefore the volume of the triangular prism is 1,185.6  in³

Answer:

1,350 cm^2

Step-by-step explanation:

It's a cube so all faces/bases are the same.

15 × 15 = 225

225 × 6 = 1,350

The answer will be 150.8

Answer: AL≈150.8

Step-by-step explanation:

AL=2πrh

AL=2π3(8)

AL=2π24

AL=150.8 Rounded up

Answer:

[tex]\frac{(12)}{2} +2\\6+2=8\\8[/tex]

Hope this helped

Answer:

4

Step-by-step explanation:

 n/6 + 2 when n = 12

n/6 + 2

Replace n with 12

Therefore,

n/6 + 2 = 12/6 + 2

= 2+2

=4

I hope this was helpful, please rate as brainliest

Answer:

2y + 3x = 8

Step-by-step explanation:

Step 1:  Add 3/2x to both sides

y + 3/2x = -3/2x + 4 + 3/2x

y + 3/2x = 4

Step 2:  Multiply both sides by 2

(y + 3/2x)*2 = 4*2

2y + 3x = 8

Answer:  2y + 3x = 8

Answer:

x = -2 , y = 1

Step-by-step explanation:

Solve the following system:

{-2 x - y = 3 | (equation 1)

-9 x - y = 17 | (equation 2)

Swap equation 1 with equation 2:

{-(9 x) - y = 17 | (equation 1)

-(2 x) - y = 3 | (equation 2)

Subtract 2/9 × (equation 1) from equation 2:

{-(9 x) - y = 17 | (equation 1)

0 x - (7 y)/9 = -7/9 | (equation 2)

Multiply equation 2 by -9/7:

{-(9 x) - y = 17 | (equation 1)

0 x+y = 1 | (equation 2)

Add equation 2 to equation 1:

{-(9 x)+0 y = 18 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by -9:

{x+0 y = -2 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = -2 , y = 1

Answer:

C) (−2, 1)

Step-by-step explanation:

Answer:

No answer choices are correct; y=-9/6x-3

Step-by-step explanation:

Slope=Rise/Run=(3-(-6))/(-4-2)=9/-6=-9/6

y=-9/6x+b

3=-9/6(-4)+b

3=36/6+b

3=6+b

-3=b

So the equation is y=-9/6x-3, so none of your answer choices are correct

Answer:

I will guess 21

Step-by-step explanation:

9+10=21 boi

Answer:

for Usatestprep it is 21

Step-by-step explanation:

i swear 100%

Answer:

C. $34

Step-by-step explanation:

$58 is added every 2 hours so you just subtract that from $92 since $92 is the price of 2 hours and a full tank of gas.

Answer:

The correct answer is B. 1 in 12.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Percentage of the U.S. population that catches the flu each season = 8%

8% = 8/100

2. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?

Let's review together each of the possible answers given:

A. 1 in 8  = 1/2 = 0.125 = 12.5%, this is not the percentage given.

B. 1 in 12  = 1/12 = 0.083 = 8.3%, if we round to 8%, this is the percentage given.

C. 1 in 18  = 1/18 = 0.056 = 5.6%, this is not the percentage given.

D. 1 in 80 = 1/80 = 0.0125 = 1.25%, this is not the percentage given.

The correct answer is B. 1 in 12.

Answer:

5ft

Step-by-step explanation:

1.1j=5.5ft

Divide both sides by 5.5

So: j=5ft.  This is the previous jump

Answer:

3/4, 75% chance

Step-by-step explanation:

you have four in total, three of which are not c, so you have a three out of four chance of NOT picking c. 3/4 as a percentage is 75%

Answer:

25%

Step-by-step explanation:

On MobyMax its 25%

Answer:

$34.70 rounded to $35, $278.22 rounded to $278, $45.89 rounded to $46, $8.38 rounded to $8.

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

b)48

Step-by-step explanation:

39>38

16=16

11<315

5>4

Hope this helps you mate

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For this case we have that by definition, the equation of a line in the point-slope form is given by:

[tex]y-y_ {0} = m (x-x_ {0})[/tex]

Where:

[tex](x_ {0}, y_ {0}):[/tex]It is a point through which the line passes

m: It is the slope of the line

According to the graph we have that the line goes through the following points:

[tex](x_ {1}, y_ {1}) :( 4,2)\\(x_ {2}, y_ {2}): (- 2, -2)[/tex]

We found the slope:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-2-2} {- 2-4} = \frac {-4} {- 6} = \frac {2} {3}[/tex]

We choose a point:

[tex](x_ {0}, y_ {0}): (-2, -2)[/tex]

The equation of the line is:

[tex]y - (- 2) = \frac {2} {3} (x - (- 2))\\y + 2 = \frac {2} {3} (x + 2)[/tex]

ANswer:

[tex]y + 2 = \frac {2} {3} (x + 2)[/tex]

Option A

The volume of the prism = 14 ft³

Solution:

Number of cubes in the prism = 1750

Edge length of each cube (a) = [tex]\frac{1}{5}[/tex] ft

To find the volume of each cube:

Volume of each cube = a³

                                    [tex]$=\left(\frac{1}{5} \right)^3[/tex]

Volume of each cube [tex]$=\frac{1}{125} \ \text{ft}^3[/tex]

To find the volume of the prism:

Volume of the prism = Volume of each cube × Number of cubes

                                  [tex]$=\frac{1}{125} \ \text{ft}^3\times 1750[/tex]

                                  = 14 ft³

The volume of the prism = 14 ft³

Final answer:

The point (1, 10) satisfies both given equations when substituting x with 1 and y with 10, therefore it is a solution to the system of equations.

Explanation:

To determine if the point (1, 10) is a solution to the given system of equations, we must substitute x with 1 and y with 10 into each equation and see if the equations hold true.

For the first equation y = 9x + 1, substituting gives us:

10 = 9(1) + 1
10 = 9 + 1
10 = 10

This is true, so (1, 10) satisfies the first equation.

For the second equation y = x + 9, substituting gives us:

10 = 1 + 9
10 = 10

This is also true, so (1, 10) satisfies the second equation as well.

Since (1, 10) satisfies both equations, it is indeed a solution to the system of equations.

Let's determine if the point (1, 10) is a solution to the given system of equations by substituting the x and y values from the point into both equations.
The system of equations is:
1. \( y = 9x + 1 \)
2. \( y = x + 9 \)
We are given the point (1, 10), where x = 1 and y = 10.
We'll substitute these values into each equation to check for equality.
First, let's substitute x = 1 and y = 10 into the first equation:
\( y = 9x + 1 \) becomes \( 10 = 9(1) + 1 \), simplifying to \( 10 = 9 + 1 \), which further simplifies to \( 10 = 10 \).
The first equation is satisfied with x = 1 and y = 10.
Next, we'll substitute x = 1 and y = 10 into the second equation:
\( y = x + 9 \) becomes \( 10 = 1 + 9 \), simplifying to \( 10 = 10 \).
The second equation is also satisfied with x = 1 and y = 10.
Since the point (1, 10) satisfies both equations, we can conclude that (1, 10) is indeed a solution to the given system of equations.

Answer:

Reflect across the line y = x (x, y) -> (y, x)

Step-by-step explanation:

The simplest way is just one step, a reflection across the line y=x.  when doing this the rule is (x, y) -> (y, x).

There are a number of ways to do it otherwise, such as a reflection across the x axis then the y axis, or the other way around, or a translaton then reflection.  Like I said though, the reflection across y=x is the fastest.  Let me know if you have any further questions.  

If they had six bags of cookies and each bag has thirteen cookies, then in total they have a total of seventy-eight cookies. If they've eaten twenty-nine cookies, then they now have forty-nine cookies because 78-29=49.

Answer:

24+8 square root 3

Step-by-step explanation:

The ratio is x : x radical 3 : 2x

hypotenuse= 2x= 16

x =8

x square root 3 = 8 square root 3

16+8=24