Determine the measure of angle FGC.
A. 22°
B. 70°
C. 110°
D.120°

Answer:y=\frac{1}{2} x-4

Step-by-step explanation:

Slope intercept form of the equation of a line is y = mx+b where m is the slope and b is the y intercept. Plugging in 1/2 for m and -4 for b gives y = 1/2x + (-4) then simplifying adding a negative means subtracting.

The equation of the line is y = (1/2)x - 4, where the slope is 1/2 and the y-intercept is -4.

Explanation:

The equation of a line in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.

In this case, the slope is 1/2 and the y-intercept is -4, so the equation of the line is y = (1/2)x - 4.

The slope of 1/2 means that for every increase of 1 on the horizontal axis, there is a corresponding increase of 1/2 on the vertical axis.

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#SPJ3

Answer:

3/4 3/6 5/12

Step-by-step explanation:

the bottom goes from least to greatest

B. -4-1. -4-1=-5, which is the amount of you count the spaces in between.

Hope this helps!

ok so divide 1500 by 250 to determine how many boxes you need to by in 1 year

so that equals 6 then you multiply that by $30 to find the total cost of all the diapers per year so the is $180 per year and then multiply that by 3 to find the cost of all 3 years

So the answer is you will spend $540 in total

Answer: you will spend $540 on diapers total.

Answer:

Step-by-step explanation:

If it is Tanya and 3 friends, there are 4 people in total. If they all contributed the saem amount, you would do 75/4= 18.75 dollars each

Answer:

THe 3rd one

Step-by-step explanation:

Number 3 should be the answer

Answer:

sqrt(221)

Step-by-step explanation:

The distance between two points is found by

d =sqrt( (y2-y1)^2 + (x2-x1)^2)

  = sqrt( (2-12)^2 + (14-3)^2)

  = sqrt((-10)^2 + (11)^2)

  = sqrt( 100+121)

 = sqrt(221)

Answer:

Step-by-step explanation:

Answer: An infinite number

Multiply both sides of the equation by 12

12  [ 3/4 (24 - 16x) = - 2/3 (18x - 27) ]

3*3(24 - 16x) = - 2 * 4 (18x - 27)

9 ( 24 - 16x) = - 8(18x - 27)          

Remove the brackets.

216 - 144x = -  144x + 216

Any value for x will preserve the equality. Nice problem.

Final answer:

The equation 3/4(24-16x)=-2/3(18x-27) simplifies to an identity, implying that there are infinitely many solutions for x. Values like x=3 or x=-7 will satisfy the equation, which is a characteristic of an identity.

Explanation:

The equation in question is 3/4(24-16x)=-2/3(18x-27). To find the number of solutions, we begin by simplifying both sides and then solving for x. Let's do this step by step:

As a check, we can attempt to substitute possible values for x such as x=3 or x=-7 into the equation, and we'll find that they satisfy the equation, confirming our result.

Answer:

The answer is 0.4

Step-by-step explanation:

Since we do multiplication first, we do 0.2*0.5. That equals 0.1.

Next, we do addition. 0.3+0.1 is 0.4.

Answer:

.4

Step-by-step explanation:

First, multiply .2 by .5 which is .1

add this to .3 and you get .4

Your answer is .4

You will need 721 centimeters of paper. This is because you take 11 and multiply it by 11 because a cube is equal in the length and the height. To find the total area of wrapping paper for one side you have to find the area. 11x11=121. Then you have 6 sides of the cube so you multiply 121x6=721 inches of wrapping paper to wrap the cube

Least amount of wrapping paper you need to wrap the gift = 726 cm²

The total surface area of a cube is equal to six times the area of one side of the cube.

Given,

Side length of the cube = 11 cm

Area of one side of the cube = side²

Therefore, area of one side of the cube =  11² cm²

                                                                   = 121 cm²

Total surface area of a cube = 6 × side²

                                                = 6 × 121 cm²

                                                = 726 cm²

Hence, least amount of wrapping paper you need to wrap the gift is 729 cm².

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SPJ1

Answer:

2 and 5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

A; the rate of change is the same

Explanation:

The graph and the table appear to be the same

Answer:The rates change are equal. The graph has a greater rate change. The table has a greater rate change. So none of the above

Answer:

C)A=-8x^2,b=6x^3,c=-23x

Step-by-step explanation:

As per vertical Method to multiply

for A

1st partial product = -4(5x^3-2x^2+2x+5), so 2nd term i.e. A is

-4 (-2x^2)= 8x^2

for B

2nd partial product= -3x(5x^3-2x^2+2x+5), so 2nd term i.e. B is

-3x(-2x^2)=6x^3

for C

Final product= sum of two partial products, C is

-8x-15x=-23x

!

Answer: THEIR HIDEOUT MUST BE CLOSE TO THE SCHOOL

Step-by-step explanation: U= 1  L=0  R= -2  I=24  M=17  H= -3  E=100  S= -439  O=11  B= -6  T= -41  D= 19  C=206

C would be my guess, I just take the first letter w/o the apostrophe, and move it by each rule and see if it matches up with the letter with the apostrophe.

Answer:

C, (x,y) → (x + 8, y - 3)

Step-by-step explanation:

we can locate one point on the shape and use that as a reference point to see where it goes.

ABCD is the original shape, while A'B'C'D' is the translated shape

we start at ABCD, for this shape i picked the point B to follow

we count how many units the point B goes in order to get to B'. we start on the x axis, and see that it goes 8 units to the right. this is an increase, as its rising in value

from there, we follow the y axis, moving 3 units down. this is a decrease, as we are going 3 units down

so according to what we have moved in order to get from B to B', we moved 8 to the right so we have x + 8, with x being the x-coordinate the point was previously on. we have moved 3 units down to get from B to B', which is y - 3, with y being the y-coordinate the point was on previously

the answer to this is C, (x,y) → (x + 8, y - 3)

Answer:

A)$1667 in 7.5%, $833 in 6%

Step-by-step explanation:

You need to average 7% interest.

initial investment = $2500

7% of $2500 = [tex]\frac{7}{100}[/tex] × 2500  ⇒ (0.07 ) × (2500) ⇒ $175

so the combined interest from both accounts should be $175

Checking options:

A)$1667 in 7.5%, $833 in 6%                      ∵ 7.5 % = 0.075  

(1667 × 0.075) + (833 × 0.06)                             6 % = 0.06

125.025 + 49.98 ⇒ 175.005

B) $1833 in 7.5%, $667 in 6%

(1833 × 0.075) + (667 × 0.06)

137.475 + 40.02 ⇒ 177.495

C)$667 in 7.5%, $1833 in 6%

(667 × 0.075) + (1833 × 0.06)

50.025 + 109.98 ⇒ 160.005

D)$833 in 7.5%, $1667 in 6%

(833 × 0.075) + (1667 × 0.06)

62.475 + 100.02 ⇒ 162.495

Option A is the closest to average7% interest of $2500, which is $175.

the answer is d i think

Answer: Option C

Step-by-step explanation:

The graph is of the quadratic equation is a parabola.

The parabola intercepts the x-axis when [tex]y=0[/tex].

Then, you need to substitute [tex]y=0[/tex] into the equation:

[tex]y=x^2+2x-8\\0=x^2+2x-8[/tex]

Factor the quadratic equation: find two number that when you add them you get 2 that when you multiply them you get -8. In this case these numbers are -2 and 4. Then:

 [tex]0=(x-2)(x+4)\\\\x_1=2\\x_2=-4[/tex]

Therefore, the x-intercepts are:

 (-4,0) and (2,0)

Answer:

[tex]f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})[/tex]

Step-by-step explanation:

The given function is

[tex]y=\frac{\pi}{2}+\sin x[/tex]

To find the inverse of this function, we interchange x and y.

[tex]x=\frac{\pi}{2}+\sin y[/tex]

we now solve for y.

[tex]x-\frac{\pi}{2}=\sin y[/tex]

Take the sine inverse of both sides to obtain;

[tex]\sin ^{-1}(x-\frac{\pi}{2})=y[/tex]

Hence the inverse of the given function is;

[tex]f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})[/tex]

where [tex]\frac{\pi}{2}-1\le x\le \frac{\pi}{2}+1[/tex]

Answer:

what that guy said

Step-by-step explanation:

Answer:

$7.40

Step-by-step explanation:

https://sciencing.com/calculate-cost-per-pound-7595889.html

use this

Answer:

10

Step-by-step explanation:

If a board is 3.75 inches wide and he wants the table to be at least 36 inches wide, then we need to use the rule of three:

If a 1 board ---------------------------> 3.75 inches wide

    x             ---------------------------> 36 inches wide

x = (36 inches wide * 1 board)/3.75

x= 9.6 boards.

Like we cannot buy 9.6 boards, then we conclude that the least number of boards he can use is 10.

Answer:

The team from the second league would be more likey to win becasue teams in taht league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.

Comparing the data of wins and home runs for the 2 leagues given in the table, we can predict that;

The second league will be more likely to win a game than the first league.

This is about data comparisons and interpretation.

Now, from the 2 tables, we see 2 columns namely HR and W;

HR; This means Home Runs. This is gotten by hitting the ball in a baseball game over the outfield fence that stands in-between the foul poles and does not touch the ground first before going over the outfield fence. This means more home runs denotes more points.

W; This is the number of wins each team possesses. The more the games won, the more the points and the more chances of winning the league.

Now, from the above analysis, we have seen that More HR( Home runs) and more W(Wins) means more points and better chances of winning the league.

Comparing the two leagues, it is clear that second league has teams with more Home runs and more Wins than the first League.

In conclusion, we can say that The second league will be more likely to win a game than the first league.

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B. 712.50

40hrs x $15/hr= $600

5hrs OT x time & a half pay ($22.50)= $112.50

$600 + $112.50= $712.50

Answer:

59 2/4

Step-by-step explanation:

Answer: 14.33 in³

Step-by-step explanation:

the volume of the box= L * W * H

V = 2 * 16/3 * 43/4 = 114.67 in³

114.67 takes up 8 servings

hence each serving will take up a volume of 114.67 in³/8 = 14.33 in³

Final answer:

By setting up a system of equations based on the provided information and solving them, we can determine that there were 5 adults in the group that attended the circus.

Explanation:

To determine how many adults were in the group at the circus, let's use variables to represent the number of students and adults in the group. Let x be the number of students and y be the number of adults. We know there are a total of 9 people, so we have the equation:

x + y = 9

The total cost for all tickets is $60, and considering the cost for students is $5 and for adults is $8, we have the equation:

5x + 8y = 60

We now have a system of equations that can be solved using the substitution or elimination method. If we solve for x in the first equation (x = 9 - y) and substitute into the second equation:

5(9 - y) + 8y = 60

45 - 5y + 8y = 60

3y = 15

y = 15 / 3

y = 5

There are 5 adults in the group. Now, we can find the number of students by substituting y back into the first equation:

x + 5 = 9

x = 9 - 5

x = 4

So, there are 4 students in the group.

Answer:

Step-by-step explanation:

It looks like you are using the sine law.

23/Sin(85) = x /  sin(55)     Cross multiply

23*sin(55) = x * sin(85)

23*sin(55)/sin(85) = x

None of these answers look correct. One thing you could try is

sin(85) = cos(90 - 85)

sin(85) = cos(5)

That would give you

x = sin(55)*cos(5)

If that is not among  your choices you have no answer.

Answer:

Option C

Step-by-step explanation:

Option C. Is the correct option.

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. For that reason, if we multiply the number (2^1/4)(2^1/4)(2^1/4)(2^1/4) the result will be 2^(1/4+1/4+1/4+1/4) = 2^(4/4) = 2.

Answer:

87.5(the first one)

Step-by-step explanation:

first simplify 4 to the 5th power(20) and multiply by 4 to the -7th(-35) and you will get -700 divide that by 4 to the -2nd(-8) and you will get 87.5

Ok so I got 87.5 for the first one but I don't know about the other ones

[tex]5(3x + 8) \\ 15x + 40[/tex]

Hope that helped

Answer:

15x+40

Step-by-step explanation:

Use the Distributive Property

Answer:

Its 19,500

Step-by-step explanation:

Answer:

Option A. $19,500

Step-by-step explanation:

A smart phone manufacturer uses 10 ounces of gold circuitry to make 5,200 smartphones.

We will solve this problem by unitary method.

In 5200 smartphones use of gold = 10 ounces

in 1 smartphone use of gold = [tex]\frac{10}{5200}[/tex] = 0.001923 ounces

In 7,800 smartphones, use of gold = 0.001923 × 7800 = 14.999 ounces rounded to 15 ounces of gold

Last month the value of 1 ounce gold is $1,300

The value of 15 ounces = 1,300 × 15 =  $19,500

The value of gold used last month is $19,500.