2. Given the system shown below do the following: y = 1/2x - 2 y = -3x + 5 solve this system graphically using the grid shown solve this system by substituting ​

Answer:

see below  ( I do not think 449.57 m^2 is correct for surface area)

    Surface area = 374.65 m^2     Volume = 448.83 = ~~ 449 m^3  

Step-by-step explanation:

Find the SURFACE AREA    (NOT the volume)

Height of cone =  sqrt ( 13^2 - 4.5^2) = 12.1963 m

  surface area equation for cone = pi * r  * (r+ sqrt (h^2+r^2) ) = 247.4 m^2

Sphere surface area =  4 pi r^2   =  254.5 m^2

   HEMIsphere is 1/2 of this = 127.235 m^2

Add the two surface areas = 374.65  m^2

For VOLUME:    cone   1/3 pi r^2 h = 257.979 m^3

                         HEMIsphere = 1/2  4/3 pi r^3  = 190.851 m^3

                Total VOLUME is then 448.83 m^3

Answer:  

x = 3

y = -2

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4x + 5y = 2........i

2x + 3y = 0........ii

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Let's start by eliminating x, so we multiply i by 2 and ii by 4

2|4x + 5y = 2

4|2x + 3y = 0

So that we have

8x + 10y = 4..........iii

8x + 12y = 0..........iv

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Subtracting iv from III, we have

-2y = 4

y = 4/-2

y = -2

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Going ahead and substituting this value of y in eqn i, we have

4x + 5(-2) = 2

4x - 10 = 2

4x = 2 + 10

4x = 12

x = 12/4

x = 3

Step-by-step explanation: hope this helps, brainliest please <3

Answer:

240

Step-by-step explanation:

The answer is 240. You have to multiply 20 times 12 since each basketball has an equivalent weight to the others. Hope this helps! :)

Answer:

1 ounce =28grams

Step-by-step explanation:

if 1 ounce=28grams

20ounce=20ounces x 28 grams

=560g

one ball weighs 560grams

Answer:

  125.25 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right trianlge in which the side adjacent to the angle is 310 ft, and the side opposite the angle is the one we want to find. The relevant trig relation is ...

  Tan = Opposite/Adjacent

__

Solving for the Opposite side (the height of the balloon), we find ...

  Opposite = Adjacent · Tan

  height = (310 ft)·tan(22°) ≈ 125.25 ft

Enola's balloon is about 125.25 ft above the ground.

_____

Additional comment

If we assume Enola's angle measurement can have a possible error of ±0.5°, then the corresponding error in the balloon height is more than ±3 ft. It is a bit of nonsense to report the height to the nearest 0.12 inches, (0.01 ft).

Answer:

none of them are right not sure what's up with that.

Step-by-step explanation:

cylinder is base*height

base is pi*r^2, or 25pi

height is 9, so the volume is 225pi is about 707, so none of the answers are correct

Answer:-5/14

Step-by-step explanation:

make then equal and insert N, 16/14-21/14=-5/14

Answer: The slope is -1

Step-by-step explanation:  

When you are given a line on a graph all you need to do is pick two points on the line and calculate the change over both the x and y-axis.

Pick both points to be at a position on the line that is easy to read. IE the intersection between two grid lines.  For this problem lets go with the first point at (0,1) and the second point at (1,0).

Now we want to calculate the change in rise (the y-component) and divide by the change in the run (the x-component).  Point 1 has a y-component of 1 and point 2 has a y-component of 0.

1 - 0 = 1 = rise

Point 1 has an x-component of 0 and point 2 has an x-component of 1.

0 - 1 = -1 = run

rise/run = 1/-1

Slope = -1

Answer: 25

Step-by-step explanation: The quadratic equation may be expressed in a form, ax² + bx + c =0. From the given equation, a = 2, b = 1, and c = -3. Substituting these value to the equation of the discriminant (D).

                                       D = b² - 4ac

                                   D = 1² - (4)(2)(-3) = 25

Thus, the discriminant of the equation of 25.

Using the standard format of a perfect-square quadratic sum, it is found that the value that completes the expression is 169.

It is represented by:

(a + b)² = a² + 2ab + b².

In this problem, we have that the expression is:

a² + 2ab + b² = h² + 26 + b².

Hence a = 1, 2ab = 26 -> b = 13, thus the value that completes the expression is:

b² = 13² = 169.

More can be learned about perfect-squares at https://brainly.com/question/13136492

Answer:

157.78

Step-by-step explanation:

Area of a trapezoid = ( sum of base lengths / 2 ) × height

the base lengths of the trapezoid shown are 8.7m and 16.3 + 7.2 = 23.5m

the height is 9.8m

so area = (( 8.7 + 23.5 ) / 2) × 9.8

==> add 8.7 and 23.5

area = (32.2 / 2) × 9.8

==> divide 32.2 by 2

area = 16.1 × 9.8

==> multiply 16.1 and 9.8

area = 157.78

Answer:

m<MLO = 120°

Step-by-step explanation:

Equilateral Triangles have all 60° angles.

m<MLN = m<OLN = 60°

60°+60°=120°

Answer:

  3, 8, 14, 30, 58

Step-by-step explanation:

As with all formulas, put the numbers in place of the corresponding variables, and do the arithmetic.

  [tex]a_1=3\qquad\text{given}\\\\a_2=8\qquad\text{given}\\\\a_3=2a_1+a_2=2(3)+8=14\\\\a_4=2a_2+a_3=2(8)+14=30\\\\a_5=2a_3+a_4=2(14)+30=58[/tex]

The first 5 terms of the sequence are 3, 8, 14, 30, 58.

Answer:

x=0 or x=−95

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−190x=2x²

Step 2: Subtract 2x² from both sides.

−190x−2x²=2x²−2x²

−2x²−190x=0

Step 3: Factor left side of equation.

(−2x)(x+95)=0

Step 4: Set factors equal to 0.

−2x=0 or x+95=0

x=0 or x=−95

[tex]~~~~2x^2 =-10 \times 19\\\\\implies 2x^2 = -190\\\\\implies x^2 = -\dfrac{190}2\\\\\implies x^2 = -95\\\\\implies x = \pm\sqrt{-95}\\\\\implies x = \pm \sqrt{-1}\sqrt{95}\\\\\implies x = \pm i\sqrt{95}[/tex]

Answer:

The  answer is b

Step-by-step explanation:

Answer: B

I had to help my brother with this

Answer:

$13.14

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

(5-x) / (3/4x) = 1/3

multiply  both sides by 3/4 x

5-x  = 3/12 x    add 'x' to both sides of the equation

5 = 15/12 x       multiply both sides by 12/15

4 = x

The amount that would be needed to be deposited in order to reach the goal is:

Since Plan A compounds annually at an apr of 5%.

and plan B compounds continuously at an apr of 4.8%

Using the formula for annual compounding

[tex]f = p * (1+r)^n[/tex]

Where

Because the compounding is done annually, then the APR/100= 0.05

Also, because the time periods are annual, hence, the time periods would be equal to the number of years = 30.

Putting the values together:

120,000 = p * (1.05)^30.

divide both sides of this formula [tex](1.05)^3^0[/tex] to get:

[tex]120,000 / (1.05)^3^0[/tex] = p which makes p equal to $27,765.29.

To solve for the PART B answer

the formula for continuous compounding is:

[tex]f = p * e^(r*n)[/tex]

Where

The formula becomes:

[tex]120,000 = p * e^(.048 * 30).[/tex]

divide both sides of this equation by [tex]3^(.048 * 30)[/tex] to get:

[tex]120,000 / (e^(.048*30))[/tex] = p which makes p equal to $28,431.33.

#SPJ1

Read more about compound interest here:

https://brainly.com/question/24274034

Step-by-step explanation:

a.) 9

When you divide with a fraction you do the reciprocal of the fraction (basically flipping numerator and denominator) then multiplying (since the opposite of division is multiplication.

So if you flip

[tex]\frac{1}{9} [/tex]

It would be:

[tex] \frac{9}{1} [/tex]

9/1 is the same as 9 so:

1 times 9 = 9

b.) 15

Same thing like we did above, just do the reciprocal the multiply.

[tex] \frac{1}{5} [/tex]

Becomes

[tex] \frac{5}{1} [/tex]

5/1 is the same as 5.

3 times 5 = 15

Answer:

um..is this finished question ????

Answer:

p + 6

Step-by-step explanation attached as image.

Answer:

That is a linear function

Step-by-step explanation:

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.

If you try to graph that function on a graphing calculator, you will get a straight line.

Therefore, it is a linear function.

mark brainliest please!

Answer:

I think it's a linear one(function)

y=6x÷19

Answer:

r = h + m

Step-by-step explanation:

h = r - m

Switch sides.

r - m = h

Add m to both sides.

r - m + m = h + m

Simplify the left side. -m + m = 0

r = h + m

Answer:

6

Step-by-step explanation:

Negative ×negative always gives gives a positive

[tex]\text{nth term of an arithmetic sequence,}\\\\a_n = a_1 + (n-1)d\\\\a_4 = a_1 +3d=107~~~......(i)\\ \\a_8=a_1+7d = 191~~~......(ii)\\\\\\\text{(ii) -(i):}\\\\~~~~~~a_1+7d-a_1-3d = 191 -107\\\\\implies 4d = 84\\\\\implies d = \dfrac{84}4\\\\\implies d= 21\\\\\text{Substitute d= 21 in eq~(i):}\\ \\~~~~~ a_1 +3(21) = 107\\\\\implies a_1 + 63 = 107\\\\\implies a_1 = 107-63\\\\\implies a_1 =44[/tex]

Answer:

Q=9

Step-by-step explanation:

if we get the bottom lengths of both triangles and divide them by eachother we can find the scale factor. so 12/4=3 meaning the scale factor is 3 meaning the bigger triangle is 3 times bigger so if we have the smaller version of the length of Q we just have to multiply 3 by 3 to get the enlarged version so Q=9inch

(its a lot of words but i wanted to make sure you understand)

Answer:

-2

Step-by-step explanation:

The slope is rise over run. If we look at the points we can see the rise is -2 and the run is 1. -2/1 = -2, so my answer is correct.

Answer:

Hi I’m the friend

Step-by-step explanation:

by the way I also need brainliest, so you get to choose who to mark as brainliest

Answer:

I think its B (x-5=13)

Step-by-step explanation:

if its x-5=13

Pedro bought 13 and 5

so 13+5 = 18 (x)

so rearrange the equation to be x-5=13

so imagine x=18 and it would work:

18-5=13

Answer: B. x - 5 = 13

Step-by-step explanation:

     Since Pedro bought the picture frames for his mother, we will see what she does with them. 5 go to her sister and 13 are kept for herself. Let x be the number of picture frames Pedro buys.

        5 + 13 = x

      This is not one of the answer choice, but x - 5 = 13 is. If we subtract 5 from both sides of the equation we created above, this proves to be our answer.

         B. x - 5 = 13