The graph below shows the water level in a tank being drained at a
constant rate. What does the Y-intercept of the graph represent? *
Tank Water Level
16
14
12
10
(1, 10)
Height (in.)
(4,4)
01234567
Time (h)
O The initial height of the water before any water drained out.
The number of hours it takes to completely empty the tank of water
O The number of hours needed to drain 1 inch of water from the tank
The number of inches that the tank can hold

Answer:

Step-by-step explanation:

Let the required distance be x.

We have a right triangle with vertical leg of 70 feet and the acute angle opposite to this leg is 22 degrees.

Use trigonometry:

Answer: -3x+4

Step-by-step explanation:

combine like terms.

3x+ -6x=-3

-3+-3+2= -4

-3x + -4

Answer:

y=2/3-5x/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve this system of equations, let's first find the value y. We can replace the x in the second equation with 11 + y, since we are told in the first equation that x is equal to 11 + y. So, let's replace x:

2(11 + y) + y = 19

22 + 2y + y = 19

22 + 3y = 19

3y = -3

y = -1

And look at that - we've found our y-value! Now, we can replace the y in the first equation with -1 to find the value of x.

x = 11 + (-1)

x = 10

So, the solution to this system of equations is (10, -1). Hopefully that's helpful!

Answer:

Rate of change = 3 gallons/minute

Starting volume = 30 gallons

Step-by-step explanation:

A graph of the pool's water level would be useful.  The slope of the line would represent the rate of change for filling the pool.  It will also help us determine the amount of water that was in the pool to start.  Although it is tempting to say the rate of fill is 45gallons/5 minutes, or 9 gallons/minute, it is not correct.  The pool already started with an unknown volume of water.  The rate of change after 5 minutes, however, can be used.  The problem states it is being added at a constant rate.  Let's find an equation for a line, in the format of y=mx+b, where m is the slope (rate of change) and b is the y-intercept.

We'll let y represent the volume of water in the pool, and x will be the time in minutes.  The y-intercept will give us the amount of water in the pool at the start (x = 0).

The slope can be determined between the two given points:

(5,45) and (30,120):

Slope = Rise/Run [The change in y divided by the change in x].

Rise = (120 - 45) = 75

Run = (30-5) = 25

Slope = 75/25 or 3

The line, so far, becomes y=3x + b

The slope of 3 has units of gallons/minute.  It is the rate at which the pool is being filled.

We can find b, the starting volume of water, by using one of the two points in the equation and solving for b:

y=3x + b   [I'll use (5,45)]

45 = 3*(5) + b

b = 30 gallons

The pool had 30 gallons to start (at x = 0(minutes))

See the graph of the line, attached.

Answer: The volume of this cylinder is 2389.18 cubic cm, and the surface area is 1000.6 square cm.

Answer:

8.9k

Step-by-step explanation:

Perimeter is the area around the object.

1.8k - 5 + 3.5 + 6.1k + k + 1.5

Combine like terms:

1.8k + 6.1k + k = 8.9k

-5 + 3.5 + 1.5 = 0

Therefore 8.9k is the answer. You dont need to include the +0 because it will not add anything to the answer. In the most simplified form, the answer is 8.9k

Hope that helps

Answer:

Step-by-step explanation:

Answer:

 (x, y) = (-1.8, -1.4)

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

d option

Step-by-step explanation:

(d) option is true, as 0.969 is greater than 0.967.

Rest all options are false.

Hope it helps :)

Answer:

The area is 27

Step-by-step explanation:

Area =1/2 [x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]

Area =1/2 [2(-6 - 8) + 3(8 - 4) + 7(4 + 6)]

=1/2 [2(-14) + 3(4) + 7(10)]

=1/2 (-28 + 12 + 70)

=1/2 (54)

Area = 27

Answer:

1.9444444 is the answer or 35/18

Step-by-step explanation:

Answer:

10/3 or 3 (1/3)

Step-by-step explanation:

I used a calculator sorry i don't know how to explain it

Answer:

w = 38%  or 37%

w = 37.7162629758% exact

Step-by-step explanation:

Lets say c = 100

If k = 15, 100 is decreases by 15% 2 times.

15% of 100 = 15

100 - 15 = 85

d = 85

Now lets find a

85 times .85 = 72.25

Now find what percent of 72.25 you have to add to itself to get 100

100 - 72.25 = 27.75

27.75 divided by 72.25

37% rounded

37.7162629758% exact

Using the z-distribution, it is found that since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

At the null hypothesis, it is tested if drug use in her school is not below the national average, that is:

[tex]H_0: p \geq 0.098[/tex]

At the alternative hypothesis, it is tested if it is below, that is:

[tex]H_1: p < 0.098[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

93 out of 1046 reported using illegal drugs, hence the parameters are:

[tex]n = 1046, \overline{p} = \frac{93}{1046} = 0.0889, p = 0.098[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.0889 - 0.098}{\sqrt{\frac{0.098(0.902)}{1046}}}[/tex]

[tex]z = -0.99[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, is [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

To learn more about the use of the z-distribution to test an hypothesis, you can take a look at https://brainly.com/question/25584945

Answer:

1) the baseball will take approx 0.514 seconds to move 18 meters.

35/1 = 18/x

x = 0.514s

2)  the car's average speed is 60 km per hour.

870/14.5 = x/1

x = 60h

Answer:

You don't subtract 2x from each side, you add 2x to each side

Answer:

its 6,7 just make it right if im wrong

Answer:

it is c my guy

Step-by-step explanation:

on edge2020

The explanatory variable is the number of text messages sent, and the response variable is the percentage of phone memory used. The correct answer is (C)

In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.

In this situation, the explanatory variable is the number of text messages sent, because it is believed to influence or "explain" the variation in the response variable, which is the percentage of phone memory used.

The explanatory variable is also sometimes called the independent variable, because it is the variable that is being manipulated or controlled in an experiment. The response variable is also sometimes called the dependent variable, because it is the variable that is believed to depend on the explanatory variable.

Therefore, in this problem, the explanatory variable is the number of text messages sent, and the response variable is the percentage of phone memory used.

Learn more about the independent and dependent variables here:

https://brainly.com/question/1479694

#SPJ2

Answer:

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

1/4 = 3/12

Answer:

Solution here,

1 US dollar=NRS 120.74

Therefore Rs 180000= 180000/120.74

=$1490.99

Answer:

Step-by-step explanation:

48 times for the green fabric

32 for blue

Answer:

[tex]x=\frac{5}{3}[/tex]

Step-by-step explanation:

Brainliest pls?

Answer:1.07

Step-by-step explanation:

Answer:

a) 2

b) -2

c) -2

d) 1/2

Step-by-step explanation:

1) f(-4) means that x=-4 and you must locate the y value on the graph

2) f(2) means that x=2 and you must locate the y value on the graph

3) f(x)=4 means that y=4 and you must locate the x value on the graph

4) f(x)=-1 means that y=-1 and you must locate the x value on the graph