The following graph shows how many gallons of water leaves a bucket every hour.

- right the slope intercept equation. Find the constant rate of change and the vertical intercept of the line. Explain how they are related to this situation

Answer:35N

Step-by-step explanation:

Cross multiply and divide to find the missing value

Answer:

Step-by-step explanation:

y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.

A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.

Vertical difference “y”  = y 2 – y 1 = − 5 – 1 = − 6  

Horizontal difference “x” = x 2 – x 1 = − 2 – − 3 = 1

Ratio = “rise over run”, or vertical over horizontal = ( − 6 1 ) = − 6  for the slope, m.  

A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.

1 = ( − 6 ) ⋅ ( − 3 ) + b ; 1 = 18 + b ; 1 – 18 = b ; − 17 = b

Thus the final equation is  y = − 6 ⋅ x − 17

We then check this by substituting the other known point into the equation:

− 5 = ( − 6 ) ⋅ ( − 2 ) − 17 ; − 5 = 12 − 17 ; 5 = − 5

Answer:

the answers for the quick check:

Step-by-step explanation:

1. d. spiral

2. b stars

3. d. meteors

4. d. as it gets closer to the sun

“Shooting Stars” that streak across the sky in a brief flash of light is Option b) Meteors.

"Shooting stars" are captivating phenomena seen in the night sky. They are commonly mistaken for stars, but they are not stars at all.

Shooting stars, or meteors, are not celestial bodies themselves, but rather the luminous trails created when small space rocks, known as meteoroids, enter Earth's atmosphere at high speeds.

These meteoroids are remnants from comets or asteroids.

When a meteoroid collides with Earth's atmosphere, friction causes it to heat up rapidly.

This intense heat causes the meteoroid to vaporize in a brilliant flash of light, leaving behind a streak across the sky.

This streak is what we commonly refer to as a shooting star or meteor.

Comets, denoted by option (a), are icy bodies that originate from the outer regions of the solar system.

They can produce meteoroids, which in turn create meteors when they enter Earth's atmosphere. However, comets themselves are not what we see as shooting stars.

Meteoroids, as mentioned in option (c), are the actual rocky or metallic fragments that create meteors.

When a meteoroid survives its fiery passage through the atmosphere and lands on Earth's surface, it is referred to as a meteorite, as stated in option (d).

In summary, shooting stars, or meteors, are the dazzling result of meteoroids burning up as they speed through Earth's atmosphere. This captivating display is a reminder of the continuous cosmic activity surrounding our planet, turning the night sky into a canvas of transient and awe-inspiring light shows.

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NOTE: This not a Question of Mathematics, this is a Question from Physics

Complete Question

Choose the correct answer from the given options:

What can be described as “shooting stars” that streak across the sky in a brief flash of light?

a) Comets

b) Meteors

c) Meteoroids

d) Meteorites

Answer:

I think its the rule RHS or SAS that indicates that x is 180ft (scale factor of 1.5)

Step-by-step explanation:

first do 135/90 to find the scale factor of 1.5

then to find x, multiply 120 by the scale factor.

The given reflection transformation is a rigid transformation, such that the dimensions are preserved

The statements that are true about the image of triangle ABC following a reflection Bout the the line y = 2·a are;

Reasons:

The given parameters are;

Triangle ΔABC is reflected across the line y = 2·x

Given that a reflection is a rigid transformation, we have;

The distance between two points on a preimage is the same as the distance between the corresponding points on the image;

Therefore;

ΔABC is congruent to ΔRST by Side-Side-Side SSS, rule of congruency, such that we have;

AB ≅ RS, BC ≅ ST, and AC ≅ RT

m∠BAC ≅ m∠SRT

m∠BCA ≅ m∠STR

m∠BAC ≅ m∠SRT

Therefore;

The true statements are;

Therefore;

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Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

All together: 5x - 15 -2x - 2 = 4

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

All together: 3x - 17 = 4

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

20 - 16 = 4

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

Answer:

4-25

Step-by-step explanation:

Step-by-step explanation:

the average rate of change of a function f in an interval [x-low, x-high] is

(f(x-high) - f(x-low)) / (x-high - x-low)

the year 2000 means t = 2000-1980 = 20

the year 2015 means t = 2015-1980 = 35

so, we have

(A(35) - A(20)) / (35 - 20)

((-0.6(35)² + 37.2×35 + 243) - (-0.6(20)² + 37.2×20 + 243)) / 15

((-735 + 1302 + 243) - (-240 + 744 + 243)) / 15

(810 - 747) / 15 = 63/15 = 4.2

the average change rate between 2000 and 2015 is 4.2.

that means that the use of nuclear energy in the USA increased by 4.2 billions of kilowatt hours per year during that period.

Answer:

(write this in the format your curriculum suggests, most are different)

Since BC is longer than AB, this means m<bcd is smaller than m<bad.

A way to prove it mathematically is to look at the triangle on the left. Since It's an isosceles triangle, m<cda and m<dac are equal. However, the triangle on the right does not have two proven congruent sides. All we know is BC is larger than the other side lengths. In a figure like that, the obtuse angle that meets the longest side would be the largest angle.

Apologies for being so wordy.

Answer:

111

Step-by-step explanation:

the answer is c)111

hop it helps

Answer:

Step-by-step explanation:

74*5 = 370

370 - 65 - 70 -70 -80 = 85

So. you need to get 85 on your fifth test.

Answer:

c

Step-by-step explanation:

cause

Answer:

The total change in the helicopter's altitude is [tex]-58.3[/tex].

Step-by-step explanation:

Create an equation.

[tex]-42.9 +(-15.4)[/tex]

Adding two negative numbers is always negative, so simply add the absolute values and make the answer a negative.

[tex]42.9+15.4 = 58.3[/tex]

Now, change the answer to a negative.

[tex]-58.3[/tex]

Thus, [tex]-58.3[/tex] is the answer.

Answer:

negative direction

Step-by-step explanation:

A negative and a positive make a negative:

1/5 + (-4/5) = 1/5 - 4/5

Hope this helps!

Answer:

3) parallel

4) y = -1/2x +5

Step-by-step explanation:

3) Two equations are parallel if they have the same slope

The equations are written in y=mx+b (standard) form, where m is the slope. Both equations have a slope of 5/4

4) The two points that are plotted are (0,5) and (4,3).

We can find the slope by using the slope equation

(3) - (5) / (4) - (0) = -2/4 = -1/2

then we can plug it in both points to find b

-1/2(4) = -2

-2 + b = 3

b = 3

Hope this helps, have a nice day!!

Answer:

-4

Step-by-step explanation:

if a=-10 and b=-6

a-b=-10- -6

=-10+6 which can be written as

=6-10

=-4

since -and-is+

The value of expression a-b if a= -10 and b= -6 is -4.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is a-b.

Here, a= -10 and b= -6

Substitute, a= -10 and b= -6 in the given expression, we get

a-b= -10-(-6)

= -10+6

= -4

Therefore, the value of expression a-b if a= -10 and b= -6 is -4.

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Answer: 56

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

The explanation are the pictures. I hope I gave you the correct answer.

Answer:

9/1352.

Step-by-step explanation:

P(Red Diamond Face Card) = 3/52.

P (Black Face Card) = 6/52 = 3/26.

So the answer is 3/52 * 3/26

= 9/1352.

Answer:

Hi I believe A. whole numbers

plz let me know if im right

Answer:

The slope is m=1, y=1x-2

Step-by-step explanation:

Therefore, the slope is 1/1 so 1.

Step-by-step explanation:

(8c-5)°=(6c-3)°

8c°-5°=6c°-3°

8c°-6c°=-3°-5°

2c°=-8°

c°=-8/2

c°= -4

Substitute the value

{8(-4)-5}

-32-5

-37°

(6c-3)

{6(-4)-3}

-24-3

-27

Answer:

1-*8364464737353=kgkdtyry

Answer:

23.333....

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Correct on edge

The function will be one-to-one only if c = 13.

A function is one-to-one if and only if each value in the range appears only once.

So, the given set will represent a one-to-one function if c takes a value that is not repeated in any of the other coordinate pairs.

We have:

(1, 2), (2, 3), (3, 5), (4, 7), (5, 11), (6, c)

For the given options, the only element that not already appears in one of the pairs is c = 13, so that is the correct option.

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Answer:

I have to say this problem is poorly worded.

the answer they're looking for is 8, I believe.

they defined t(x) twice!