A staff gauge measures the height of the water level in a river compared to the average water level. At one gauge the river is 1 ft below its average water level of 10 ft. It begins to rise by a constant rate of 1.5 ft per hour.

Will the river reach a level of 7 ft above normal after 5 hours? Explain.

Answers

Answer 1

The river will not reach a level of 7 ft. after 5 hours.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the water level after x hours.

Since the  river is 1 ft below its average water level and  begins to rise by a constant rate of 1.5 ft per hour. Hence:

b = -1, m = 1.5. The equation becomes:

y = 1.5x - 1

To reach a level of 7 ft. That is y = 7:

7 = 1.5x - 1

1.5x = 8

x = 5.3 hours

The river will not reach a level of 7 ft. after 5 hours.

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Answer 2

Answer:

6.5, will not

Step-by-step explanation:

The water level is 6.5 ft above normal after 5​ hours, so it

will not reach a level of 7 ft above normal after 5 hours.


Related Questions

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36

Answers

Answer:

x2 + (y + 8)2 = 36

Step-by-step explanation:

:) took the test

The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.

What is the Standard form of a Circle?

Standard form of a circle is given by the equation,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Given that,

A circle has a diameter of 12 units.

So radius = 12 / 2 = 6 units

Center of the circle lies on the Y axis.

So the x coordinate of the center of the circle will be 0.

So, in (h, k), h = 0

So the equation will be of the form,

(x - 0)² + (y - k)² = 6²

x² + (y - k)² = 36

Hence the options are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.

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#SPJ7

Which expressions are equivalent to
-1/3(12-9+6x)

Answers

Answer:

-2x-1

Step-by-step explanation:

first you simplify what is inside the parenthesis to get: -1/3(6x+3)

then, you distribute the -1/3 to each of the numbers inside the parenthesis to get: -2x-1

Can someone please help me with this?

Answers

Step-by-step explanation:

4a - 5b = 7

substract 4a from both sides

4a - 5b - 4a = 7 - 4a

positive 4a with negative 4a

5b = 7 - 4a

devide both sides by 5

[tex] \frac{5b}{5} = \frac{7 - 4a}{5} [/tex]

[tex]b = \frac{7 - 4a}{5} [/tex]

There is a line that includes the point (5, -7) and has a slope of -1. What is its equation in slope-intercept form?

Answers

y + 7 = -1(x - 5)

y + 7 = -x + 5

y = -x - 2

What is the slope of the line that passes through the points (9, 1) and (17, 2)
A: 8/15
B: 8/1
C: 1/8
D: 15/8

Answers

Answer:

C

Step-by-step explanation:

Slope of a line that goes trough the points (x1=9, y1=1) and (x2=17, y2=2)

m= (y2-y1)/(x2-x1) = (2-1) / (17-9) = 1/8

When ordering pizzas, 5 pizzas cost $60. Does this mean 9 pizzas will cost $100? Write a proportion and use cross products.

Answers

Answer:

108$.

Step-by-step explanation:

What are the domain and range of f(x) = (one-sixth) Superscript x + 2?

domain: Left-brace x vertical-line x greater-than negative one-sixth right-brace; range: {y | y > 0}
domain: Left-brace x vertical-line x greater-than one-sixth right-brace; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > –2}

Answers

The domain and range of the function is domain: {x | x is a real number}; range: {y | y > 2}

Given the exponential function expressed as;

[tex]f(x)=(\frac{1}{6})^x + 2[/tex]

The domain of the function will be the input value "x" for which it exists. For the function given, it exists for any value of "x".

Hence the domain of the function exists on all real numbers. Hence the domain in set notation is domain: {x | x is a real number}

The range of the function will be the output value "f(x)" for which it exists. For the function given, it exists for any value of f(x) greater than 2.

Hence the range of the function exists on any value of f(x) greater than 2. Hence the range in set notation is domain: {y | y >2}

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Answer:

The answer is C on edge

Step-by-step explanation:

Petro's family went out to eat. The bill for the food was 36.25. The restaurant tax was 3.37 and Petro left a tip for 5.75. What is the best estimate for how much the meal cost altogether?

Answers

Answer:

45.37

Step-by-step explanation:Based on the given conditions, formulate:

5.75

+

36.25

+

3.37

Calculate the sum or difference:

42

+

3.37

Calculate the sum or difference:

45.37

get the result:

45.37

Please help!!! 30 points and brainliest!!

Solve for ‘x’
-6x = -5x - 9

Answers

[tex]-6x = -5x -9 \\\\\implies -6x +5x = -9 \\\\\implies -x = -9 \\\\\implies x =9[/tex]

(btw when it just has the "-" that is a line to separate them and for the -x = -9, they are divided by -1 sorry if that confused you before.)

Answer:

x = 9

Step-by-step explanation:

-6x = -5x -9

+5x   +5x

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

-x = -9

---    ----

-1      - 1

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

x = 9

Hope this helps!!^^ plz mark brainliest?

please help out for a brainly
show work!!

Answers

Answer:

Step-by-step explanation:

y=−5/2x−11 so slope is -5/2

y-intercept means when x is zero, then what is y? the answer is -11. So the y-intercept is (0 , 11)

mark brainliest plz

Please anyone I’m desperate

Answers

Answer:

the answer is B) 12a+6b

Step-by-step explanation:

3+9=12 so 3a+9a=12a,

7-1=6 so 7b-(1)b=6b

Step-by-step explanation:

calm down ! just breathe.

these are totally simple additions and one also very simple subtraction to make.

you know that you can combine terms based on the same variable, right ?

3a + 9a = 12a

7b - b = 6b

the result is then

12a + 6b, so B is the right answer.

this bases already on the same principle of actual numbers.

2×3 + 5×3 = 7×3 because this is also

(2 + 5) × 3

or

6×5 + 6×3 = 6×8 because this is also

6 × (5 + 3)

or

7×8 - 4×8 = 3×8 because this is also

(7 - 4) × 8

and so on.

make x the subject of the formula
y=a √x

Answers

Answer:

Y^2/a = x

Step-by-step explanation:

Y = a sqr X

Square both sides

Y^2 = a * x

Divide a

Y^2/a = x

Answer:

[tex] x = \dfrac{y^2}{a^2} [/tex]

Step-by-step explanation:

[tex] y = a\sqrt{x} [/tex]

Square both sides.

[tex] (y)^2 = (a\sqrt{x})^2 [/tex]

[tex] y^2 = a^2(\sqrt{x})^2 [/tex]

[tex] y^2 = a^2x [/tex]

Divide both sides by a².

[tex] \dfrac{y^2}{a^2} = x [/tex]

Switch sides.

[tex] x = \dfrac{y^2}{a^2} [/tex]

20x29 devided by 9+20=?



help​

Answers

Answer:

20

Step-by-step explanation:

[tex] \frac{20 \times 29}{29} = 20[/tex]

Answer:

20X29 devided by 9+20=84.4444444444

answer this 1 question​

Answers

Answer:

I have attached my answer below.

Step-by-step explanation:

Not sure if its correct or not. Hope this helps!!

many non-profit groups ask for donations during december. do men give higher monetary donations than women in the month of december? how should we write the alternative hypothesis? let mum be the population mean donation for men and let muw be the population mean donation for women.

Answers

Men will use money for drugs, the women like purse

Please to this step by step with answer

Answers

first you would have to multiply 12 times 5 (60) then multiply 7 times 18 (126) you subtract both [ 126 - 60] = (66) that would be your final answer. They both need to have worked 66 minutes to have the same number of boxes.

A regular polygon has an exterior angle of 40
°

Work out the number of sides of the polygon.​

Answers

Answer:

9 sides

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

To find the number of sides n divide the sum by 40°

n = 360° ÷ 40° = 9

9
The exterior angles of any regular polygon must add up to 360. Since the angle measure given in the questions is 40, take 360/ 40= 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

How to find standard deviation from true probability and sample size.

Answers

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

pls help asap MIDSEGMENTS

Answers

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

PLEASE HELP!
Please give me the correct answers! No links, please! If you do not know the answer please don't put anything down, Thank you!!!

Answers

Answer:

All of the above

Step-by-step explanation:

Answer:

All of the above

Step-by-step explanation:

Rational numbers that can be expressed as the fraction

It is a integer

a repeating non-terminating decimal

terminating decimal

-275[tex]\frac{1}{2}[/tex] --- this is a integer fraction -- rational

0 -- this is a whole number -- rational

56 --- natural number -- rational

34243.84 -- terminating decimal -- rational

-88/3 -- integer fraction -- rational

therefore all of the above are rational numbers

1/2divided by 4/9 and its answer write it in a mixed fraction

Answers

Answer:

1 1/8

Step-by-step explanation:

1/2 ÷ 4/9

= 1/2 × 9/4

= 9/8

= 1 1/8

Answer:

[tex]1\frac{1}{8}[/tex]

Step-by-step explanation:

hope this helps have a good rest of night :)❤

d
=

(
x
2

x
1
)
2
+
(
y
2

y
1
)
2
Evaluate
d
if
(
x
1
,
y
1
)
=
(

3
,
4
)
and
(
x
2
,
y
2
)
=
(

2
,
4
)
.

Answers

Please comment on this so I can see the full question

59 divided by 4=? Also, please don't use a fraction just keep it simple like 68R7.
R/r=remainder

Answers

Answer:

14 R3

Step-by-step explanation:

the closest multiple of 4 under 59 is 56. 56/4=14 and there is a remainder of 3 between 59 and 56

Answer: 14R3

Step-by-step explanation:

The graph of the line y= 3 is a line that has which of the following characteristics?
O parallel to the y -axis
O passing through the point (5,0)
O parallel to the x-axis
O passing through the origin

Answers

The characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

Recall:

The equation of a horizontal line graph is represented as y = k; where k is the point on the y-axis intercepted by the line.Horizontal line graph is always parallel to the x-axis.

The graph of the line, y = 3 is shown in the diagram attached below. From the graph, k is 3 (on the y-axis) and it is parallel to the x-axis.

Therefore, the characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

Learn more about horizontal line graph on:

https://brainly.com/question/15616095

What is the sum of the first 12 terms in the series shown below?

1.5 - 4.5 + 13.5 - 10.5 +

Answers

0 i believe is the answer

Find the cartesian product Ax B of the following sets a) A = {x:x=1,2,3},b{y:y=3-x}​

Answers

Answer:

Step-by-step explanation:

A=(1,2,3)

B=(0,1,2)

A×B=(1,2,3)×(0,1,2)

A×B=((0,1),(1,1),(1,2),(0,2),(1,2),(2,2),(0,3),(1,3),(2,3))

7x+1/3=2 2/3
Help me please

Answers

7x + 1/3 = 2 2/3
7x = 7/3
x = 1/3
x is equal to 1/3
x= 1/3

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?

Answers

Answer:

5 by 11

6 plus 5 is 11

qn says at least 1 should be blue which will by 5 by 11

Answer:

5/11

Step-by-step explanation:

Because theres 5 blue marbles out of 11

Wha ratio is equivalent to the ratio 6 : 12

Answers

Answer:

1:2

Step-by-step explanation:

1:2 would be a equivilant

also most simplified

Answer:

1 :2

Step-by-step explanation:


The rectangle below has an area of x^2 - 7x + 10 square meters and a width of x - 5 meters.
What expression represents the length of the rectangle?

Answers

Answer is (x - 2).

- BRAINLIEST answerer

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