Question 8
Over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. Scientists predict that the
water level will continue to go down for the next 5 years at a rate of 0.4 feet per year. What rational number
represents the overall change of the water level after 7.5 years?
А
-2.75 feet
B
0.1 foot
..ll Ezekiel Porter
С
-0.7 foot
D
2.75 feet
©2021 Illuminate Education Inc.

Answer:

60

Step-by-step explanation:

ABC is OBC:30

180-90-30=60

Answer:

angle BDC=60°

Answer:

1/10 = 0.1 = (0.1×100) %= 10%

1/5 = 0.2 = (0.2×100)% = 20%

3/4 = 0.75 = (0.75×100)% = 75%

3/10 = 0.3 = (0.3×100)% = 30%

1/4 = 0.25 = (0.25×100)% = 25%

Hope it helps

Answer:

1/2 = 0.5 50%

1/10 = 0.1 10%

1/5 = 0.2 20%

3/4 = 0.75 75%

3/10 = 0.3 30%

1/4 = 0.25 25%

Answer:

9 years

Step-by-step explanation:

Let

Lifespan of rabbits = x

Lifespan of hamster = x - 4

Lifespan of raccoon = 2(x - 4)

Total lifespan of animals = 24

Total = rabbits + hamster + raccoon

24 = x + (x - 4) + 2(x - 4)

24 = x + x - 4 + 2x - 8

24 = 4x - 12

24 + 12 = 4x

36 = 4x

x = 36/4

x = 9 years

longevity for the rabbit = 9 years

Lifespan of rabbits = x = 9

Lifespan of hamster = x - 4

= 9 - 4

= 5

Lifespan of raccoon = 2(x - 4)

= 2(9 - 4)

= 2(5)

= 10

Total lifespan of animals = 24

Answer:

IT'S (x+9)(x-9)

Step-by-step explanation:

Answer:

Tim has 64 dollars. I did the math and I know I'm right

Answer: 378

Step-by-step explanation:

You would get this answer because if x = 7 then you multiply and get 21 because 3 x 7 = 21 then you do what’s in the parentheses and get 18 then multiply 21 x 18 then you get 378

Answer:

146

Step-by-step explanation:

angle AB is an inscribed angle and arc AB is it's intercepted arc

An inscribed angle is equal to half the measure of its intercepted arc

Which means that an intercepted arc is equal to two times the measure of its corresponding inscribed angle

Thus, arc ab = 2(73)

2 * 73 = 146

hence, arc AB = 146

Answer:

mAB = 146°

Step-by-step explanation:

We can notice that the angle given is an inscribed angle and an inscribed angle is 1/2 the arc it intercepts. We can set up an equation to model the situation:

73° = 1/2(mAB)

mAB = 146°

Answer:

[tex]a=12\text{ or } -4[/tex]

Step-by-step explanation:

The distance formula is given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We are given the two points (4, -1) and (a, 5). The distance between them is 10.

Let (4, -1) be (x₁, y₁) and let (a, 5) be (x₂, y₂). Substitute:

[tex]10=\sqrt{(a-4)^2+(5-(-1))^2}[/tex]

Solve for a. Square both sides and simplify:

[tex]100=(a-4)^2+(6)^2[/tex]

Simplify:

[tex]64=(a-4)^2[/tex]

Take the square root of both sides. Since we are taking an even root, we will need plus/minus. Hence:

[tex]\pm\sqrt{64}=\pm8=a-4[/tex]

Solve for a:

[tex]a-4=8\Rightarrow a=12\text{ or } a-4=-8\Rightarrow a=-4[/tex]

So, our two possible points are (12, 5) or (-4, 5).

Answer:

sin A = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12}{37}[/tex]

1 km = 1000 meters.

Find total meters: 80 km x 1000 meters per km = 80,000 meters.

Divide total meters by the given speed:

80,000 meters / 180 m/s = 444.44 seconds.

1 minute = 60 seconds

444.44. Seconds / 60 seconds per minute = 7.41 minutes = 7 minutes 24.42 seconds

Total time = 7 minutes 24.42 seconds

Round as needed.

Answer:

D i think

Step-by-step explanation:

Answer:[tex]34,650\ in^3[/tex]

Step-by-step explanation:

Given

The height of the aquarium is [tex]h=25\ inches[/tex]

The radius of the aquarium is [tex]r=21\ inches[/tex]

Assuming aquarium to be in the shape of a cylinder

So, its volume is [tex]V=\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\pi \times 21^2\times 25\\\Rightarrow V=34,650\ in^3[/tex]

Thus the volume of the aquarium is [tex]34,650\ in^3[/tex].

Answer:

36 1/4 in³

Step-by-step explanation:

v = 3 5/8 * 2 1/2 * 4

Convert to improper fractions

v = 29/8 * 5/2 * 4/1

Cancel

v = 29/2 * 5/2 * 1/1

Multiply

v = 145/4

Reduce

v = 36 1/4 in³

Answer:

x= -5

Step-by-step explanation:

MARK AS BRAINLEST!!

Answer:

the inequality symbol should be < after dividing by -3, so reversing the sign( if reverse isnt an option ill ask what the options are in the comments)

Step-by-step explanation:

Whenever and inequality is divided by a negative number the inequality sign has to switch.

Answer:

Montresor deserves to be penalised in court with the sentencing of 1st degree murder. Montresor was not insane, he was a pervasive murderer because of his motive.

Hope this helps!

--Applepi101

Answer:

Checks are slips of paper that are used to transfer money from your banking acccount to anothers. You can ask for a checkbook at you local bank, and fill out the required information to be eligible.

You have to fill out your name, which person its going to, the memo (why you are filling out the check), and finally the amout the other person is going to recieve. Once you recieve a check you must go to the bank to either cash out the check (get the amount of cash that was writen on the check), or put the aout of money in your bank ccount.

Sorry if im wrong!

Have a good day! <3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

If you use the distance formula, which is [tex]\sqrt{(x_{2}-x_{1})+(y_{2}-y_{1})[/tex] and you plug everything in, you get 6.

Answer: [tex]x=-21, y=-33[/tex]

[tex]x-y=12,\\18x-12y=18 ( divide by 6)\\3x-2y=3, 2nd Eq.\\multiply- first -equation by 2\\\\2x-2y=24, 1st Eq.\\subtract-the- second -equation- from -first\\2x-3x=24-3,\\-x=21 or x=-21,\\\\substitute-the-value-of -x\\-21-y=12,\\y=-21-12= -33\\[/tex]

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Multiply all of the different types.

Answer:

Irrational

Step-by-step explanation:

A rational number can be made by dividing two integers, thereby, 8.33865 is an irrational number.

Hope this helps!

Answer:

x= 8/9

Step-by-step explanation:

You must divide 8/21 & 3/7 As a fraction.

Answer:

x=44 and y=21

Step-by-step explanation:

The large one is x

The small one is y

According to given conditions,

x+y=65[Sum of two number is 65]—Equation(1)

x-23=y [Smaller number is less than 23 than larger]——Equation (2)

From equation (2) we can write,

x-y=23——-Equation(3)

Now adding equation (1) and (3) we get,

x+y+x-y=65+23

=>2x=88

=>2x/2=88/2 [Both sides are divided by 2]

=>x=44

Now putting the values in equation (2) we get,

44–23=y

=>y=21

Large, x=44 and Small, y=21

Answer:

the answer is B

Step-by-step explanation:

because it is in the form ax^2+bx+c

Answer:

745,000

Step-by-step explanation:

200,000x.03= 6000

150,000x.025=3,750

Commission.    2,350

total.                12,100

total fees.            20,000

less above.           12,100

=.remaining fees    7,900

divide by .02(2% commission)

=remaining sales price 395,000

tier 1 200000

tier 2 150000

tier 3 395,000 (calculated above)

=.       745,000 sales price

Step-by-step explanation:

The top and bottom horizontal lines are 11 units long and the left and right vertical lines are 9 units long. Dilating the logo by a factor of one-half means that these lengths will grow longer by 50%. Hence the horizontal lines will get longer by 5.5 units and vertical lines will grow longer by 4.5 units. The diagonals should also increase in length accordingly.

Answer:

3155

Step-by-step explanation:

Continously compounding interest formula:

PV*e^(rt)

10200*e^(.0385*7)=13354.95825

To find the amount of interest paid subtract the original amount

13354.95825-10200=3154.958249

which rounds to

3155

Answer:

1.6 hours

Step-by-step explanation:

Number of opening hours a day = 8

Number of groups = 5

Dividing the number of opening. Hours equally among the 5 groups :

8 hours / 5

= 1.6 hours per group per day