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3 years ago

Write the formula for an exponential function with initial value 300 and decay factor 0.73

Mathematics

1 answer:

postnew [5]3 years ago

8 0

Answer: 300*0.73^x

Step-by-step explanation:

300 is the initial value and every time x goes up by 1, the value get multiplied by 0.73

when x=3

then the value would be 300*0.73*0.73*0.73 or 300*0.73^3

then for x amount of times the equation would be 300*(0.73 x times ) or 300*0.73^x

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The volume of a cylinder is 768 N in³. Find the radius of the cylinder (in inches) if the height is 3 in

yarga [219]

To find the volume of the cylinder we multiply the area of the face by the height of the cylinder. Area pi*r^2
First find area
768in^3/3in = 256in^2
Pi*r^2 = 256
r^2 = 256 / pi
radius = root of 256/pi
Hence radius = 9.027033337 in
To check answer
Pi*9.027033337^2 * 3in = 768in^3

Finalized answer to 2 d.p
Radius = 9.03 in

6 0

3 years ago

Jim runs 3 miles in 28 minutes. At the same rate, how many miles would he run in 42 minutes?

GuDViN [60]

Answer:

9/2 miles or 4.5 miles

Step-by-step explanation:

First lets see how many miles Jim would run in one minute. That would be 3/28 miles in one minute. Than multiply that by 42 and you get 9/2.

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3 years ago

Elaine wants to buy a couch for $899.99 if she pays $69.75 in sales tax what is the sales tax percent explain steps

tigry1 [53]

Answer:

the sales tax percent is therefore: 7.75%

Step-by-step explanation:

The sales tax she paid is $69.75, for a sofa whose sale price is $899.99.

Since $69.75 is the unknown (x) percent of $899.99, then we write this statement in math terms as:

69.75 = x * 899.99

solving for x we get:

x = 69.75 / 899.99

x = 0.0775

this is the decimal form of the percent, and in order to write it as percent, we multiply it by 100:

the sales tax percent is therefore: 7.75%

6 0

4 years ago

Megan draws three different diagrams to represent the sample space of flipping a coin and rolling a 6-sided die.

erica [24]

Answer:

The explanation is given below.

Step-by-step explanation:

Given:

Two events take place.

Let event A be flipping a coin

Let event B be rolling a 6-sided die.

Now, a coin has two faces; one is head and the other is tail.

So, the possible outcomes of event A are: {H, T}

H → Head, T → Tail.

Now, a six sided die has six faces each marked with a number. The numbers marked ranges from 1 to 6.

So, the possible outcomes of event B are {1, 2, 3, 4, 5, 6}

Now, each element of set A should match with all the elements of set B.

Now, tabular form should have a row of outcomes of B and a coum of outcomes of event A. Thus,

Outcomes 1 2 3 4 5 6

H H1 H2 H3 H4 H5 H6

T T1 T2 T3 T4 T5 T6

Therefore, the organised list has the following outcomes:

H1 T1

H2 T2

H3 T3

H4 T4

H5 T5

H6 T6

Finally, the correct tree diagram is attached below.

can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius

7 0

3 years ago

25 POINTS <br> Solve this equation PLEASE AND STEPS<br> 4=1/2(2x+4+x)(x-2)

Keith_Richards [23]

Answer:

x=−2, 2.6666

Step-by-step explanation:

Let's solve your equation step-by-step.

4=(1/2(2x+4+x))(x−2)

Step 1: Simplify both sides of the equation.

4=3/2 x2−x−4

Step 2: Subtract 3/2x^2-x-4 from both sides.

4−(3/2 x2−x−4)=

3/2 x2−x−4−(3/2 x2−x−4)

−3/2 x2 +x+8=0

For this equation: a=-1.5, b=1, c=8

−1.5x2+1x+8=0

Step 3: Use quadratic formula with a=-1.5, b=1, c=8.

x=−b±√b2−4ac

x=−(1)±√(1)2−4(−1.5)(8)

2(−1.5)

x=−1±√49

−3

x=−2,2.66666666666666666666666666666

5 0

3 years ago