It's says use compatible numbers to complete the project.then estimate the sum 428+286

The figure below shows a tent with wires attached to help stabilize it. The length of each wire is 8 feet greater than the dista

Anestetic [448]

Answer:

The length of 2 wires are 13 feet and 12 feet [i don't know if the 3rd side is a wire, if so, the length is 5 feet]

Step-by-step explanation:

The image of the tent is attached.

As we can see, it creates a right triangle with "x+8" side being the hypotenuse of the triangle.

The pythagorean theorem tells us:

Hypotenuse^2 = Leg^2 + Leg^2

THe hypotenuse is "x+8", the two legs are "x" and "x+7" respectively. Let's solve for x:

$(x+8)^2=(x+7)^2+x^2$

We expand and solve for x:

$(x+8)^2=(x+7)^2+x^2\\x^2+16x+64=x^2+14x+49+x^2\\x^2+16x+64=2x^2+14x+49\\x^2-2x-15=0\\(x-5)(x+3)=0\\x=5,-3$

Length can't be negative, so x = 5.

Hence, the 3 sides of the triangle are:

x = 5

x + 8 = 13

x + 7 = 12

The length of 2 wires are 13 feet and 12 feet

8 0

3 years ago

Consider the equation (x^m)^3=(x^13)^5X(x^-8)^-5. The value of m is .

ddd [48]

(x^m)^3=(x^13)^5X(x^-8)^-5 would equal 35.

7 0

4 years ago

As compared to its 1st year of operation, ABC company grew 8% in the 2nd year and an additional 2% per year for the next 2 years

kow [346]

Answer:

i believe its 30,000

Step-by-step explanation:

$\frac{12}{45000}$ = $\frac{8}{x}$

12x = 360000

x = 30,000

7 0

3 years ago

Julie brought 24 apples to school to share with her classmates. Of those apples, 2/3 are red, and the rest are green. Julie’s cl

Ratling [72]

Answer:

from the given info

you can know that there were 16 red ones. (2/3)*24

and 8 green apples

and her classmates ate 3/4 of red ones i.e.

(3/4)*16

=12

and 1/2od green

i.e.

(1/2)*8

=4

and now the total eaten apples

= 12+4

=16

and the remaining number are

24-16

=8

3 0

3 years ago

A population of protozoa develops with a constant relative growth rate of 0.4964 per member per day. On day zero the population

vodka [1.7K]

Answer:

The population size after eight days is about 265

Step-by-step explanation:

This is an example of an exponential growth model. A quantity y that grows or decays at a rate proportional to its size fits in an equation of the form

$\frac{dy}{dt}=ky$

where k is a positive constant. Its solutions have the form

$y=y_{0}e^{kt}$ ,

where $y_{0} =y(0)$ is the initial value of y.

The population size can be calculated by using the below formula:

$P(t)=P(0)e^{kt}$ where $P(0)$ is the population on day zero.

Let t be the time in days,

We know from the information given that:

k = 0.4964 per member per day and

The day zero (t = 0) the population size is 5 (P(0) = 5)

To find the population size after eight days

Substitute P(0) = 5, k=0.4964 in $P(t)=P(0)e^{kt}$

Then

$P(t)=5e^{0.4964\cdot t}$

Now we calculate P(t) when t = 8 days

$P(8) = 5e^{0.4964\cdot 8}\\P(8) = 5e^{3.9712}\\e^{3.9712}=53.04815\dots \\P(8) = 5 \cdot 53.04815\dots\\P(8) = 265.24075\dots \approx 265$

Therefore the population size after eight days is about 265

8 0

3 years ago