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MrMuchimi
2 years ago
3

Brady creates the graph below to keep track of the appropriate height of the grass on his lawn over time. What is the dependent

variable in this situation

Mathematics
1 answer:
Vsevolod [243]2 years ago
5 0

A dependent variable is something that depends on something. Like a new born child who depends on its mother for care and food and water. Hopefully that will help you get your answer

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A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units.
Mekhanik [1.2K]

Answer:

Volume of shaded portion = (600 - 36π) units³

Step-by-step explanation:

Volume of the shaded portion = Volume of pyramid - Volume of cone

Volume of pyramid = ⅓*l*w*h

Where,

l = length of base of pyramid = 15 units

w = width of base of pyramid = 10 units

h = height of pyramid = 12 units

Plug in the values to find the volume of the pyramid

Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³

Volume of Cone = ⅓πr²h,

Where,

r = radius = ½ of diameter = ½ of 9 = 3 units

h = height = 12 units

Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12

= π*3*12 = 36π units³

Volume of shaded portion = (600 - 36π) units³

3 0
2 years ago
Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric v
defon

Answer:

13.30

Step-by-step explanation:

$79.80 / 6 hours = $13.30

3 0
2 years ago
Read 2 more answers
How much money, as a one-time deposit, PV, would you need to deposit into an account that earns 1.5% compounded monthly to earn
Karolina [17]

Answer:

The amount needed as a one-time deposit to earn $7,500 in 3 years is <em>$4388.17</em>

Step-by-step explanation:

<u>Basic Finance Formulas </u>

One of the most-used formulas to compute present and future values is

FV=PV(1+r)^{n}

Where FV is the future value, PV is the present value, r is the interest rate and n is the number of periods. It's vital to keep in mind that r and n must be referred to the same compounded time, e.g. r is compounded monthly and n is expressed in months

The question requires to compute the PV needed as a one-time deposit to earn a future value of $7,500 in 3 years at a 1.5% rate compounded monthly.

FV=7,500

r=1.5%=0.015

n=3*12=36 months

We converted n to months because r is compounded monthly . The formula

FV=PV(1+r)^{n}

must be managed to make PV isolated

PV=FV(1+r)^{-n}

PV=7,500(1+0.015)^{-36}

PV=\$4388.17

Answer: The amount needed as a one-time deposit to earn $7,500 in 3 years is $4388.17

3 0
2 years ago
Hope researches the impact of one variable on another. She graphs the data from her research and sees that the data forms a shap
BigorU [14]

The <em><u>correct answer</u></em> is:

She can determine that while there is an association between the variables, there is no correlation, and she cannot determine causation.

Explanation:

Since there is an arch shape to her graph, we know that as one variable changes, the other changes in the same manner. This means there is an association between the variables.

However, since the graph is not linear, there is no correlation between the variables. Since there is no correlation, we cannot determine causation.

6 0
2 years ago
Read 2 more answers
12 less than m is no less than 132
kaheart [24]

Answer

M-12=-132

The less than moves the number to the back

3 0
2 years ago
Read 2 more answers
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