A frog jumps in the air. The height, in inches, of the frog is modeled by the function h(t)=60t-75t , where t is the time after it jumped, measured in seconds.

Solve .

Answer: y = [tex]\frac{1}{6}[/tex]x + 2

Step-by-step explanation:

    [1] First, we will graph the points given. See the attachment with [1] in the corner.

    [2] Next, we will find the slope.

    (2a) Using rise over run. See the attachment with [2] in the corner.

    (2b) Use the slope equation:

[tex]\displaystyle \frac{1-3}{-6-6}= \frac{-2}{-12} =\frac{1}{6}[/tex]

    [3] Find the y-intercept. Look to the graph. See the attachment with [3] in the corner.

         This gives us a final answer of y = [tex]\frac{1}{6}[/tex]x + 2

Answer:

Is A

Step-b-step explanation:

40.5

Answer:

2/10 = 1/5

Step-by-step explanation:

It landed five 2 times and you rolled it 10 times

area of triangular prism:

[tex]\dashrightarrow \sf (4+3+5) \ x \ 7 \ + 3 \ x \ 4[/tex]

[tex]\dashrightarrow \sf 96 \ ft^2[/tex]

Answer:

Step-by-step explanation:

A =  7 ft

B = 5 ft

C = 3 ft  (base of the triangle)

D =  4 ft  (height of the triangle)

Surface area of prism = base *height + ( B + C + D)*A

                                    = 4*3 + (5 + 3 + 4) * 7

                                    = 12 + 12 *7

                                    = 12 + 84

                                     = 96 square ft.

Answer:

1.9998 inches = radius

Step-by-step explanation:

V=(4/3)πr³

33.5 = (4/3)πx³

33.5 * 3/4 = (4/3)πx³(3/4)

25.125 / π = (πx³) / π

[tex]\sqrt[3]{7.998}[/tex] = [tex]\sqrt[3]{x^3}[/tex]

1.9998 = x

Answer: C= -2

Step-by-step explanation:

Answer:

C. -2

Step-by-step explanation:

5x + 2(x − 4) = 5x + x − 10

Subtract 5 from both sides,

5x + 2(x - 4) - 5x = 5x + x - 10 - 5x

Simplify,

2(x - 4) = x - 10

Distribute,

2x - 8 = x - 10

Add 8 to both sides,

2x - 8 + 8 = x - 10 + 8

Simplify,

2x = x - 2

Subtract x from both sides,

2x - x = x - 2 - x

Simplify,

x = -2

The last step to be carried out in a bid to construct an angle using a protractor is; Connect the endpoint and the mark at the angle measure.

In a bid to construct an angle by means of a protractor, it follows that a sequence of steps must be carried out. These steps are as ordered below;

Read more on angle construction;

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Answer: For the last step you have to connect the endpoint and the mark

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If 2 chords of a circle intersect, then the product of the parts of one chord is equal to the product of the parts of the other chord , that is

BW × WD = AW × WC ( substitute values )

6 BW = 3 × 8 = 24 ( divide both sides by 6 )

BW = 4 units

Answer:

Option B

Step-by-step explanation:

Intersecting Chords theorem: When two chords intersect inside a circle, the product of their segments are equal.

AW * WC =  WD * BW

3 * 8     = 6 * BW

   [tex]\sf \dfrac{3*8}{6} = BW[/tex]

  BW = 4 units

Answer: 7.07

Step-by-step explanation:

Answer:

-5, -1

-9, 3

5, -11

-8, 2

-18, 12

Step-by-step explanation:

Answer:

_8 2. c. bbx. hx xhdj audiovisual audible Suffolk erudition Ayrshire Ysidro rump sidi ecru his

Answer:

The answer is

3a+30

Step-by-step explanation:

I hope this helped

Answer:

[tex]a_{n} =500(n) + 30,000[/tex]

Step-by-step explanation:

Hey there!

This equasion is correct because [tex]500[/tex] is being multiplied by the multiplyer which is [tex]n[/tex], how many years have gone by

After that The equasion adds [tex]30,000[/tex] because he started with [tex]30,000[/tex].

Answer:

The answer is [tex]a_{n} =500n+29,500.[/tex]

The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is a1 = 30,000.

Step-by-step explanation:

The answer is [tex]a_{n} =500n+29,500.[/tex]a_n = 500n + 29,500. It is easy to check: just plug in n = 1, and you'll get the first year's salary = 500•1 + 29,500 = 30,000.

Another way to find it is [tex]a_{n} =30,000+500(n-1)=30,000+500n-500=29,500+500n[/tex].

The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is [tex]a_{1}=30,000[/tex].

Answer:

Step-by-step explanation:

a1 = 4

a2 = -5(4)-1 = -21

a3 =-5(-21)-1 = 104

a4 = -5(104)-1 =-521

a5 =-5(-521)-1 = 2604

For inflection Points of

The mean and standard deviation are is mathematically given as

x=78

sigma=8

Normal distribution is simply a symmetrical bell-shaped graph that displays the distribution of numerous random variables.

Generally, the equation for the  mean is mathematically given as

x=total sum /amount

Therefore

x=70+78+80/3

x=78

In conclusion, Inflexion point for normal distribution is given as

[tex]I=\mu+\sigma\\\\\mu+\sigma=86[/tex]

Also

[tex]\mu-\sigma=70[/tex]

Therefore

[tex]78+\d\sigma=86[/tex]

sigma=8

Read more about mean

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Answer:

y = x+2

Step-by-step explanation:

y = mx +c

y-intercept is +2

so y = mx + 2

the slope of the line is one across one up so

y = x+2

Answer:

Step-by-step explanation:

At y-intercept, x =0

So, from the graph, y-intecept = b = 2

Equation of the line: y =mx +b

y = mx + 2

Choose any point on the line and substitue in the above equation and we get the slope(m)

(-2 ,0)

0 = m*(-2) + 2

0 = -2m + 2

-2 = -2m

-2/-2 = m

m= 1

Equation of the line: y = x + 2

Answer:

48 made a purchase

Step-by-step explanation:

8% of 600

= [tex]\frac{8}{100}[/tex] × 600 ( cancel 100 and 600 by 100 )

= 8 × 6

= 48

Answer:

4 inches

Step-by-step explanation:

A = b x h

A = 36

b = 9

36 = 9 x h

4 = h

height = 4 inches

Answer:

3w, 4x, 4w, 7y, 7x, 3y,  5w,

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

The mean splits a data set into 50-50

So the answer is 50

Answer:

x<-9

Step-by-step explanation:

x−1<−10

Add 1 to both sides.

x<−10+1

Add −10 and 1 to get −9.

x<−9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hoped this helped :)

Answer:

x < -9

Step-by-step explanation:

⇒ x - 1 < -10

⇒ x < -10 + 1

⇒ x < -9

Answer:

12 meters

Step-by-step explanation:

2x9=18 (get both widths)

42-18=24 (take away widths of 9m)

24/2=12 (divide by 2 to get one length)

Answer:

A

Step-by-step explanation:

This will have slope in it, so bear with me.

We will use the equation [tex]\frac{y(2) - y(1)}{x(2) - x(1)}[/tex] (keep in mind (2) means second and (1) means first)

Lets fill it out.

[tex]\frac{-4-(-1)}{-4-3}[/tex]

It should be [tex]\frac{-3}{-7} or \frac{3}{7}[/tex]

So it is A

Answer:

  3, 52

Step-by-step explanation:

The given relation can be expressed by the equation ...

  x +(17x +1) = 55 . . . . . . where x represents the smaller number

__

Solution

  18x = 54 . . . . . . . . . collect terms, subtract 1

  x = 3 . . . . . . . . . divide by 18

The smaller number is 3. The larger number is 55-3 = 52.

Answer:

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

you get the answers by counting all the x. every sttudent markes 1 x so the answer is 19

Answer: A

Step-by-step explanation:

The radius of the circle is 7, and the center is at (6,-2), so if we substitute into the formula for the general equation of a circle, we get answer choice A.

Answer:

Answer D is correct

Step-by-step explanation:

Let us solve this now.

58

× 100

      000

      00

+   58

= 5800

------------------------------------------------------------------------------------------

Let us solve this sum in a different way.

If there's a number to multiply by 100 you can simply put 2 zeros to the other number like this.

58 × 100 = 5800

Answer:

C) 35

Step-by-step explanation:

The answer is C because he sold 80 lemon pies and as the question states ten more than twice the number of apple pies were sold .

Subtract 80 by 10 and divide it by 2

80-10=70÷2 = 35