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Solution,

Change in water level is [tex]1\dfrac{1}{2}\ \text{inches}=\dfrac{3}{2}\ \text{inches}[/tex]

The water level of a lake fell by [tex]1\dfrac{1}{2}[/tex]  inches  during a [tex]1\dfrac{2}{3}\ \text{or}\ \dfrac{5}{3}[/tex]week-long dry spell.

Average rate at which the water level changed  every week is given by :

[tex]R=\dfrac{1\dfrac{1}{2}}{1\dfrac{2}{3}}\\\\R=\dfrac{\dfrac{3}{2}}{\dfrac{5}{3}}\\\\R=\dfrac{3}{2}\times \dfrac{3}{5}\\R=\dfrac{9}{10}\\\\R=0.9[/tex]

Hence, the average rate is 0.9 every week.

Answer:

a is arithmetic sequence.

Step-by-step explanation:

option a is an arithmetic sequence because we use d=t2-t1 formula

so like wise,

8-2=6

14-8=6

20-14=6

The translation of the point (1, -4) when you move left 4 units and down 1 unit will be (0,-8).

Translation in mathematics is the movement of a shape in any direction—left, right, up, or down—without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.

Given that you start at (1, -4). You move left 4 units and down 1 unit. The translated point will be calculated as,

(1, -4)  ⇒ ( 1 - 1 , -4 - 4)

( 1 , 4 ) ⇒ ( 0 , -8)

Therefore, the translation of the point (1, -4) when you move left 4 units and down 1 unit will be (0,-8).

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Answer: yes

Step-by-step explanation:

Answer:

1 Is A

2 is B

3 is A

4a is D

4b is -53 but that's not an answer choice

4c is C

4d is D

Answer:

16

Step-by-step explanation:

140 divided by 9 = 15.5

you need 16 vans to hold 140 tourists

Answer:

Miranda can bake 30 cookies with 6 scoops of flour.

Step-by-step explanation:

The rate is 5 cookies for every scoop of flour. to figure this out we need to divide 15 by three, to get 5, so the rate ends up being 5:1

Next, to find out the number of cookies, we need to multiply 5 by 6 to get 30. Therefore, Miranda can bake 30 cookies.

Answer:  48 cubes in the new box

Step-by-step explanation:

Doubling the length and the width is 2×2, so 4 times the original capacity.

4×12 = 48

It is not necessary to compute the volume. The dimensions could be anything. It's the number of cubes that count.

Answer:

C, 48

Step-by-step explanation:

I hope that helps!!!!!!!!

Answer:

x=-13

Step-by-step explanation:

All you have to do is divide 8 by both sides because you want to get x by itself.

Answer:

C

American involvement in other countries.

Hope it helps ❤️

The labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,

A drawing, chart, or graph that is labeled helps to visualize a concept. Students can better understand the relationships between the diagram's various components by using labeled diagrams in math, science, and language arts.

It is given that the labeled bolts of clothes represent the political cartoon.

They provide a cheerful diversion from the increasingly somber political discourse by offering a colorful alternative to formal news reporting. Cartoons offer a quick and easy way to comment on current events because they can condense news and opinion into a caricature.

Thus, the labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,

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Answer: Took the test

Step-by-step explanation:

Answer:

72.73 pages in one hour

or 72.73/hr

Answer:

6 4/9

Step-by-step explanation:

Sorry if it’s a little messy.

Maths is hard but we can do this!

Answer:

.9 pounds to 1.1 pounds

Step-by-step explanation:

10% of 1.0 is .1, so it allows for a .1 addition or subtraction to the weight of the box

Answer:

the answer is 0.9-1.0

Step-by-step explanation:

the answer is that because my teacher gave me the answer

Answer:

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.

Total = 18 marbles.

Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.

Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.

Answer:

0.043

Step-by-step explanation:

If functions transfer some a to b via some formula, then inverse of such functions transfer b to a via some other formula.

Hope this helps.

Answer and Step-by-step explanation:

SOLUTION:

Given function:

h (x, y, z) = ln (x2 + y2 – 1) + y +6z,  p0(1, 1, 0)

Derivatives of the function:

∂h / ∂x = (1 / x2 + y2 -1). (2x)

          = 2x / x2 + y2 -1

∂h/∂y = (1 / x2 + y2 – 1) (2y + 1)

          = (2y / x2 + y2 -1) + 1

∂h / ∂z = 6

Now compute the partial derivatives:

∂h (1, 1, 0) / ∂x = 2(1) / 1 +1 -1

                            = 2

∂h(1, 1, 0) / ∂y =( 2(1) / 1 +1 -1) + 1

                           = 3

∂h (1, 1, 0) / ∂z = 6

Δh (1,1,0) = ( 2, 3, 6)

The definition of gradient is:

Δf (x, y, z) = (∂f / ∂x , ∂f / ∂y)

Put the coordinate values to arrive at solution:

Umax = Δh (1,1,0) / | Δh (1,1,0) |

      = (2, 3, 6) / |2, 3, 6|

     = (2, 3, 6) / √(22+33+62)

   = (2, 3, 6) / √49

    = (2, 3, 6) / 7

= (2/7 , 3/7, 6/7)

Umin = - U max = ( -2/7, -3/7, -6/7)

Compute direction by finding unit vector:

Du h max = Δh (1,1,0)  . u max

                 = (2, 3, 6) . (2/7, 3/7, 6/7)

                 = 2(2/7) + 3(3/7) + 6(6/7)

                 = 4/7 +  9/7 +36/ 7

                  = 49 / 7

                  = 7

Du h min = -Du h max

                = -7

Answer:

Step-by-step explanation:

3x + 10 + 3x - 28 = 180

6x = 180 - 10 + 28

x = 198/6

x = 33

substitute the value of x = 33 back into the equation to solve for each angle

= 3x + 10

= 3(33) + 10

= 109

= 3x - 28

= 3(33) - 28

= 71

Answer:

-9

Step-by-step explanation:

Answer:

c

need brainest

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is probability distribution

What is probability distribution?

Probability distribution is a function used to express all the range of random variables and the chances or possibilities of their occurrence.

Basically the function assigns probabilities to some sets of  values.

Also There are three major types of probabilities:

Theoretical Probability.

Experimental Probability.

Axiomatic Probability.

A​ relative-frequency distribution is to a variable as a​ Probability distribution is to a random variable.

Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true.

The probability of an event is usually between 0 and 1, where 0 represent impossibility and 1 represents the chance of it occurring.

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Answer:

d. 7.3

Step-by-step explanation:

To get the standard deviation of a population of data, first take the sum of all the values, and divide it by the count to get the mean (average).

75 [1] + 90 [2] + 75 [3] + 80 [4] + 90 [5] + 80 [6] + 100 [7] + 85 [8] + 80 [9] + 85 [10] = 840.

Then divide by the count which is 10.

840/10 = 84 [This is the mean of the data.]

Then subtract every point of data from the mean and square it:

(75-84)^2 + (90-84)^2 + (75-84)^2 + (80-84)^2 + (90-84)^2 + (80-84)^2 + (100-84)^2 + (85-84)^2 + (80-84)^2 + (85-84)^2 = 81 + 36 + 81 + 16 + 36 + 16 + 256 + 1 + 16 + 1 = 540.

Then to get the variance, divide this all by the count.

540/10 = 54 [This is the variance of the data.]

Then all you have to do to get the standard deviation is take the square root of the variance.

√54 = 3√6 ≈ 7.3 [This is the standard deviation of the data.]

Answer:

18

Step-by-step explanation:

1. Create the ratio 12:9

The first number in the ratio is where the length of the shadow will go. The second number is where the length of the building will go.

2. Subtract 21 by 12 to find out how much we have to add to 9. (21-12=9)

3. Add 9 to 9. (18)

We now have 21:18.

Answer:

slope = -3/14

Step-by-step explanation:

y1  - y2 / x1 - x2

They gave you one value, two total coordinates

5-5 = 1

-3 - 11

-14

1/-14

y=1/-14 + b

11= 1/-14(-3) + b

11 = -3/14 + b

17 + 14

b = 15 3/14

Angle x and angle BOC are supplementary. We know that Supplementary angles add up to 180 degrees

180 = x + 156

Subtract 156 from both sides.

24 = x