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3 years ago

1. A frame is 9 in wide and 6 in tall. If it is reduced to a width of 3 in then how

Mathematics

1 answer:

masha68 [24]3 years ago

6 0

Answer:

18 units tall

Step-by-step explanation:

As the frame is 9x6, and the width divides by 3, the height should multiply by 3. In this case, 6x3=18, so the height is 18 units. Hope it helps!

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4) A can of juice contains 8% of vitamin A. How is this percent written as a decimal?

siniylev [52]

0.08

Step-by-step explanation:

When you convert percent to decimal, you have to remember that 1= the whole.

Do to convert it, you divide the whole number (8%) by 100 (0.08). Vice versa, you multiply by 100

6 0

4 years ago

. You are mailing a gift box that is 18 inches by 8 inches by 12 inches. You

vekshin1

Cubic inches of first box = 18 x 8 x 12 = 1,728 cubic inches

Cubic inches of larger box = 20 x 12 x 15 = 3,600 cubic inches.

Cubic inches for packing foam = 3600 - 1728 = 1,872 cubic inches

Answer: 1,872 cubic inches

4 0

2 years ago

A spinner is divided into 12 equal parts. The probability of spinning an x is

Murrr4er [49]

Answer:

Step-by-step explanation

3 x 4

7 0

3 years ago

Read 2 more answers

Give the equation of the circle whose center is (5 -3) and goes through (2 5)

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

The standard form for the equation of a circle is

$(x-h)^2+(y-k)^2=r^2$

From the info given, we have the center, (h, k) as (5, -3) and the x and y coordinates of (2, 5). We will use these to solve for r-squared, then plug back in what we need to write the equation.

$(2-5)^2+(5-(-3))^2=r^2$ which simplifies to

$(-3)^2+(8)^2=r^2$ and

$9+64=r^2$ so

$r^2=73$

Filling in the equation:

$(x-5)^2+(y+3)^2=73$

7 0

4 years ago

A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation

bearhunter [10]

Answer:

<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>

Step-by-step explanation:

<u>Exponential Growing</u>

The population of bacteria grows at a rate expressed by the equation:

$f(t)=256e^{0.06111t}$

Where t is in minutes.

We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

$f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256$

Now we find the time when the population is 5*256=1,280. The equation to solve is:

$1,280=256e^{0.06111t}$

Dividing by 256:

$e^{0.06111t}=1,280/256=5$

Taking natural logarithms:

$ln\left(e^{0.06111t}\right)=ln5$

Applying the logarithm properties:

$0.06111t=ln5$

Solving for t:

$t=ln5/0.06111=26.34$

It will take 26.34 minutes for the population to reach 5 times its initial value

6 0

4 years ago