What is the rate of change of the function y = − 1/4 x + 1

Answer:

measure of angle C = 18°

c = 2.47

a = 7.61

Step-by-step explanation:

Make sure your calculator is in degree mode.

Angle A measures 72°, so angle C measures 18° (Angles A and C are complementary angles, so their sum is 90°).

[tex] \sin(18) = \frac{c}{8} [/tex]

[tex]c = 8 \sin(18) = 2.47[/tex]

[tex]a = 8 \cos(18) = 7.61[/tex]

Answer:

B' = {3, 8, 10, 11}

Step-by-step explanation:

B' is the complement of B. It is a set that contains all elements of the universal set that are not elements of set B.

B' = {3, 8, 10, 11}

Answer:

1/32

Step-by-step explanation:

We can break this question down. If we had 1 person and they are right-handed, the probability is 1/2 because they are either left-handed or right-handed. Knowing that, we can multiply the probability of having 1 person being right-handed 5 times because there are 5 people in the question.

1/2 × 1/2 × 1/2 × 1/2 × 1/2 = 1/(2⁵) = 1/32

Therefore, the probability of randomly selecting 5 people who are right-handed is 1/32.

I hope this helps and please mark me as brainliest!

Answer:

B

Step-by-step explanation:

When the x goes up 1, the y multiplies by 4. This graph would be a curve.

Hope that helps

Answer:

80m

Step-by-step explanation:

Pythageoreum Theorum since it is a right triangle.

a^2 + b^2 = c^2

60^2 + b^2 = 100^2

3600 + b^2 = 10,000

-3600              -3,600

b^2 = 6,400

Square root both sides of the equation

b = [tex]\sqrt{6400}[/tex]

[tex]\sqrt{6400}[/tex] = 80

The length of side a is 80 m

Answer: a= -18

              b= -28 inches      c=30 pounds

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

x^2 -8x=0

rewrite in this form and add 16 to both sides:

x² + 2(- 4)x + 16 = 0 + 16

(x - 4)² = 16 ( take square root of both sides )

x - 4 = ±  4

x =  4 ± 4

x=8 , x= 0

987

2 sf of 987

( to find 2sf just round of if the previous digit is 5 or more)

2 sf= 990

Answer:

990

Step-by-step explanation:

Answer:

The value of x is equal to 30.

Step-by-step explanation:

Let's define what are 2 equations are:

Since we are dealing with a straight line, the line's angle will always equal 180°.

Since the 2 angles must add up to 180°, then they must be supplementary angles.

We can set up our equation to solve for x:

This equation states that the 2 angles, given in formulas, must be equal to the angle of the line.

We can now solve this equation and get a value of x:

∴ we have found the value of x to be equal to 30.

Hope this helps!

Answer:

See below

Step-by-step explanation:

Square objects have four sides of equal length

so the perimeter of the drawing will be   4 * 2.5 = 10 inches

  area of drawing = 2.5 x 2.5 = 6.25 in^2

the actual object will have side lengths

       2.5 in  / 1 inch/ 5mm = 12.5 mm

   four sides each 12. 5 mm = 50 mm

      area of object = 12.5 x 12.5 = 156.25 mm^2

The trinomial, 3x² + 13x – 10, when factored will give you: (3x + 10)(x - 1).

To factor a trinomial, we need to find two factors that would give us the exact trinomial when expanded.

Given, 3x² + 13x – 10:

3x² -3x + 10x - 10

(3x² - 3x) + (10x - 10 )

3x(x - 1) +10(x - 1)

(3x + 10)(x - 1)

Learn more about factoring trinomial on:

https://brainly.com/question/545911

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Answer:

80 degrees

Step-by-step explanation:

The three angles of the triangle must sum to 180 degrees

70 + 30 + x = 180

x = 180 -70-30 = 80

Answer:

A. The amount of money you have at the end of the statement period

Step-by-step explanation:

A "closing balance" is the The amount of money you have at the end of the statement period

Answer:

v=3,m=2

Step-by-step explanation:

You can find the complete solution in given attachment

I hope it helped you

Answer:

84 inches

Step-by-step explanation:

It is the perimeter.

Koda needs 84 inches of ribbon to put it around the edge of the board.

A classroom board is 24 inches wide and 18 inches tall, Koda s putting ribbon along the outside edge of the board.

Perimeter is the measure of the figure on its circumference.

Here,
length = 24 inch
width = 18 inch
The perimeter of the board, = 2 {length  + width]
                                             = 2 [24 + 18]

                                             = 84

Thus, Koda needs 84 inches of ribbon to put it around the edge of the board.

Learn more about perimeter here:

brainly.com/question/6465134

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Answer:

The answer is C The sales range for team 2 is greater than the sales range for team 1.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

$ 42 436

Step-by-step explanation:

3% = .03

40 000 ( 1 + .03)^2  = 42436

Answer:

$0.80

Step-by-step explanation:

Find the unit rate

1 apple costs ?

1.20/6 = cost of 1 apple

1 apple = $0.20

4 apples = $0.20 * 4

4 apples = $0.80

Answer:

Heavenly,  we need the forumula for the area of a triangle, do you know it?

Step-by-step explanation:

Area of a triangle is (1/2 ) * B*H

where B = base

H = height

then

A = 1/2* B * H

A is given to be 20

B = b

H = b+4

plug all those into the formula,

20 = (1/2)*b*(b+4)

use your algebra skillz  :P

20 = 1/2 *( [tex]b^{2}[/tex] + 4b)

20*2 = [tex]b^{2}[/tex] + 4b

40 = [tex]b^{2}[/tex] + 4b

0 = [tex]b^{2}[/tex] + 4b-40

rewrite the above so it's in x format

[tex]x^{2}[/tex] + 4x -40 = 0

use the quadratic formula to find  x  , and for our problem, remember that x represents the base,  or b,  but don't mix it up with the b in the quadatic fomula,  with the b of the triangle, which is the base,  they are differnt "b"s   :P

X = (b±[tex]\sqrt{b^{2}-4*a*c }[/tex] ) / 2*a

a = 1

b = 4

c = -40

x = (4±[tex]\sqrt{4^{2}-4*1*(-40) }[/tex]  ) /2*1

x = ( 4±[tex]\sqrt{16+160}[/tex] ) / 2

x = (4±[tex]\sqrt{176}[/tex] ) / 2

x = (4±13.266499)/2

x= 2±6.633249

x = 2 + 6.633249 = 8.633

b= 8.633 cm

Answer:

8

Step-by-step explanation:

We can form a simple ratio to solve this problem.

Flaws:Total Box

Plug in current values

4:22

44/22 = 2

Multiply the ratio by 2

8:44

8 boxes would be flawed.

Answer:

8

Step-by-step explanation:

There are 2 ways to do this I have seen.

1. 4/22 will get you .18, you can then multiply that by 44 and get 8

2. 22*2 is 44 so you can assume the number of flaws will also be the same amount multiplied (a multiple of 2) and you will get 8

Answer:

step 1

Find the average growth per year of the populations of rabbits farm A

Over the first 2 years

for t=0

numbers of rabbits=5 (is not exact)

for t=2

numbers of rabbits=40

average=[40-5]/2---------> 17.5

step 2

Find the average growth per year of the populations of rabbits farm B

Over the first 2 years

for t=0

numbers of rabbits=5 (is not exact)

for t=2

numbers of rabbits=30

average=[30-5]/2---------> 12.5

step 3

Compare the average growth per year of the populations of rabbits on both farms

farm A=17.5

farm B=12.5

the average rate of population growth of rabbits in farm A is greater than average rate of population growth of rabbits in farm B by about 5 rabbits per year.

therefore

the answer is the option C)

the average rate of population growth of rabbits in farm A is greater than average rate of population growth of rabbits in farm B by about 6 rabbits per year.

Step-by-step explanation:

[tex]Answer ☘️[/tex]

★ Important points to know

[tex] {\boxed{ \bold{Exterior \: Angle \: Theorem : - }}}[/tex]

★ Let's solve :-

[tex] \sf ↪\angle \: 65 \degree + \angle \: 30 \degree =\angle \:B\\ \\ \sf ↪\angle \: 95 \degree = \angle \:B[/tex]

Hence option A 95⁰ is the right ans ✓

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

[tex]\sf\large \green{\underbrace{\red{Answer⋆}}}:[/tex]

To find :-

The angle ∠ABC = ?

Given :-

∠BCD = 65°

∠BDC = 30°

Solution :-

Firstly we have to find ∠CBD, with the help of ∠CBD, we will able to find ∠ABC.

To find ∠CBD, we will use angle sum formula

(=> The sum of angles of all 3 sides of triangle is equal to 180°).

∠CBD + ∠BCD + ∠BDC = 180° (angle sum property)

∠CBD + 65° + 30° = 180°

∠CBD + 95° = 180°

∠CBD = 180° - 95°

∠CBD = 85°

Now we have ∠CBD, and in the diagram ∠CBD and ∠ABD lies on the same line but it is seperated by line BC, it means they are linear pair and the sum of both angles (∠CBD and ∠ABC) is equal to 180°.

∠ABC + ∠CBD = 180° (linear pair)

∠ABC + 85° = 180°

∠ABC = 180° - 85°

∠ABC = 95°

Result :-

The ∠ABC is 95° by using the above method.

Choose the first option

(A) 95°

Answer:

One

Step-by-step explanation:

For unique triangles with 3 sides, the sum of the two shorter sides must be greater than the third side.

Shorter sides:  6 cm and 2.5 cm

Longer side:  6.5 cm

6 + 2.5 = 8.5

As 8.5 > 6.5 this is a unique triangle

As the side lengths are fixed, only one unique triangle can be formed.

Answer:

it's a that's the answer

Answer: 12

Step-by-step explanation:

Because a translation is a rigid motion, we know that YZ corresponds to GH (and they will have the same length).

Now, we can the fact that EFGH is a rectangle to obtain that EF=GH=12 (since opposite sides of a rectangle are congruent)

Hence, YZ=12.

Answer:

x + 5y = 30

x + 5(0) = 30

x1 = 30    y1 = 0

x + 5y = 30

1(0) + 5y = 30

y2 = 6    x2 = 0

(x1,y1) and (x2,y2)

(30,0) and (0,6)

Step-by-step explanation: