Please help!
A rock is dropped down from the top of a​ 500-foot cliff. After 1​ second, the rock is traveling 32 feet per second. After 4 ​seconds, the rock is traveling 128 feet per second.

a. Assume that the relationship between​ time, t, and​ speed, s, is linear and write an equation describing this relationship. Use ordered pairs of the form​ (time, speed).

b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.

Answer:

x = 8

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

13x - 8 + 7x + 4 + 3x = 180 , simplify left side

23x - 4 = 180 ( add 4 to both sides )

23x = 184 ( divide both sides by 23 )

x = 8

Answer:

x=5,-5

Step-by-step explanation:

Answer:

SAS similarity

Step-by-step explanation:

The two triangles MON and MQP are such that

Angle M = Angle M

MO/MQ = MN/MP

Therefore, Triangle MON ~ Triangle MQP (SAS similarity)

Answer:2

Step-by-step explanation:

15/3 = 5

15/2 = 7.5

+1

= 13

15 - 13 = 2

=====================================================

Explanation:

The gardener starts at the first tree and then marks every second tree. So they'll skip a tree each time.

The set of trees he marks has the labels {1,3,5,7,9,11,13,15}. Basically it's the set of odd whole numbers between 1 and 15. Or you could notice that we add on 2 each time we need another tree to mark.

Then he goes back to the first tree and marks every third tree. So we have this new set: {1,4,7,10,13}. Start at 1 and add 3 each time to generate a new item.

Union the two sets mentioned and you'll get {1,3,4,5,7,9,10,11,13,15}

We see that the following trees aren't marked: {2,6,8,12,14}

There are  5   items in that last set.

Side note: The trees with labels {1,7,13} have been marked twice. There's a gap of 6 units between each adjacent label.

The option A and C are negative. also, option B and D are positive.

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

WE need to write the sums of the integers as either positive or negative.

-8+(-9) = -17

This gives the negative answer.

7+(-3) = 4

This gives the positive answer.

5+(-12) = -7

This gives the negative answer.

-12+15 = 3

This gives the positive answer.

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g(−3)=2

g(0) = 3g(0)=3

Step-by-step explanation:

Given

The attached graph

Required

Determine

g(-3)g(−3)

g(x) = 3g(x)=3

Since a graph has been provided, the question will be solved graphically;

Solving g(-3)

This implies that;

x = -3

And the interpretation is to solve for the y value when x = -3

From the attached graph;

When x = -3; y = 2

Hence;

g(-3) = 2g(−3)=2

Solving g(x) = 3

This implies that;

y = 3

And the interpretation is to solve for the x value when y = 3

From the attached graph;

When y = 3; x = 0

Answer:

well altogether it is 15 then it would be 3 dollars each

Step-by-step explanation:

:)

Answer:

y - 5 = 3(x - 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = 3 and (6, 5 ) a point on the line , then

y - 5 = 3(x - 6) ← equation of line

a. The explicit formula for the cost of the car in the nth year is $26,350(0.83^n) .

b. The car's value  after 8 years is $5,934.79.

c. The decrease in the value of the car is  $11,283.41.

The formula that can be used to determine the value of the car with a decline in value is:

FV = P (1 - r)^n

FV = Future value of the car  

P = cost of the car

R =rate of deprecation  

N = number of years

Cost of the car after n years = $26,350 x (1 - 0.17)^n

$26,350(0.83^n)

Car's value  after 8 years = $26,350 x (1 - 0.17)^8

$26,350(0.83^8) = $5,934.79

Decrease in the value of the car after 3 years= cost of the car - value of the car in 3 years

Value of the car in 3 years = $26,350 x (1 - 0.17)^3 = $15,066.59

$26,350 - $15,066.59 = $11,283.41

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Using the Central Limit Theorem, it is found that the correct option is:

The Central Limit Theorem states that taking a sample of size n for a population of mean [tex]\mu[/tex], the sample means are going to be close to [tex]\mu[/tex].

In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.

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Answer:

its b

Step-by-step explanation:

on usatp

Answer:

(1,4)

Step-by-step explanation:

It was either (1,3) or (1,4) but there was no (1,3) so (1,4).

Hopes This Helps :)

Answer:

a is -2,1        b is -3,3        c is -1,3

Step-by-step explanation:

Answer:

replace rhombus with square, or rectangle

Step-by-step explanation:

Answer:

  (d)  perpendicular bisectors

Step-by-step explanation:

The circumcenter is the center of the circumcircle of the triangle. Each vertex of the triangle lies on that circle. The sides of the triangle are chords of the circle.

The perpendicular bisector of a chord is a line that intersects the center of the circle containing the chord. Hence, the perpendicular bisectors of the sides of a triangle will intersect the circumcenter.

Answer:

11.59 hours  {Basically 12 hours]

Step-by-step explanation:

Sarah's coin rate is 23 coins/8 minutes, or 2.875 coins/minute

Rate * Time(X) = Coins

(2.875 coins/min)*(X) = 2000 coins

X = (2000 coins)/(2.875 coins/min)

X =  695.65 minutes

(695.65 minutes)*(1 hour/60minutes) = 11.59 hours

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

A circle can be modelled after a expression of the form:

[tex]A\cdot x + B\cdot y + C =-x^{2}-y^{2}[/tex] (1)

We can determine all coefficients by knowing three distinct points on plane.

If we know that [tex](x_{1}, y_{1}) = (2, 8)[/tex], [tex](x_{2}, y_{2}) = (0, 8)[/tex] and [tex](x_{3}, y_{3}) = (2, 2)[/tex], then the solution of the system of linear equations is:

[tex]2\cdot A + 8\cdot B + C = -68[/tex] (2)

[tex]8\cdot B + C = -64[/tex] (3)

[tex]2\cdot A + 2\cdot B + C = -8[/tex] (4)

[tex]A = -2, B = -10, C = 16[/tex]

Now we proceed to complete squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

[tex]x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0[/tex]

[tex](x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0[/tex]

[tex](x-1)^{2}+(y-5)^{2}= 10[/tex]

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

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Answer:

$140

Step-by-step explanation:

90-(3x10)-20+100= 140

He started with $90: (90)

Then he wrote 3 checks of $10 each: -(3x10)

Then he withdrew $20: -20

Finally, he made a deposit of $100: +100

Thus, our equation would be: 90-(3x10)-20+100=

(You might want to simplify this expression; giving you 140)

Answer:

15x - 3y

Explaination:

Adding 7x and 8x will give you 15x and the -3y doesn't need to be added up.

I hope this helps you.

Answer:

-5x / 9x - 18

Step-by-step explanation:

= - 5x- / ( 3x - 7 ) + 4 ( 3x - 5 ) - ( 6x - 9 )

= applying rule : ( a ) = a

then, ( 3x - 7 ) = 3x - 7

= - 5x- / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )

= applying the fraction rule : -a/b = a/b

= 5x / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )

= -5x / 9x - 8. Answer!

Answer:

y = 0.25x+1

Step-by-step explanation:

Y= mx+b

m= 0.25

b= 1

hope this helps

Answer:

y=-2x-39

Step-by-step explanation:

Answer:

100=39+2x

Step-by-step explanation:

hoped that hedlp:P

Answer:

Angels D and G

Step-by-step explanation:

Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles. Although in this case angels D and G dont have opposite angels so in this cade their is only 2 alternate exterior angels.

I hope this helps have a great day and happy holidays  (｢•-•)｢

Answer:

∠D and ∠G

Step-by-step explanation:

Think about what alternate exterior angles are:

Putting these two elements together, we can clearly see the alternate exterior angles are ∠D and ∠G.

3. the answer is 8

6. the answer is 7

Answer:

48/8=6

56/7=8

Step-by-step explanation:

48÷ 8 = 6

56÷ 7 = 8

write it in web and then u will find the answer in a calculator

The solution is Option A.

The scale factor of the blueprint is given by the equation 1 inch = 3 feet

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A blueprint has a scale of 4 inches = 12 feet

So , the value of equation A is

4 inches = 12 feet

Divide by 4 on both sides of the equation , we get

4 inches / 4 = 12 feet / 4

On simplifying the equation , we get

1 inch = 3 feet

Therefore , the value of A is 1 inch = 3 feet

Hence , the scale factor of the blueprint is 1 inch = 3 feet

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She will need 2.5 quarts.

Kim will need 2.5 quarts.

Given = 10 cups quarter

From the given data = 10/4

⇒ 2.5

The answer is 2.5 quarts.

There are 4 cups in 1 quart. There are 8 cups in 2 quarts. There are 16 cups in 4 quarts.

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Answer:

y=4/9x-5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-(-5))/(9-0)

m=(-1+5)/9

m=4/9

y-y1=m(x-x1)

y-(-5)=4/9(x-0)

y+5=4/9(x)

y+5=4/9x

y=4/9x-5

Answer:

96 dried beans will weigh one pound