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3 years ago

6

Which model repersents the product 6 x

{4}" alt="\frac{3}{4}" align="absmiddle" class="latex-formula">?

1 answer:

mylen [45]3 years ago

8 0

Answer:

6 × $\frac{3}{4}$ = $\frac{9}{2}$ = 4 $\frac{1}{2}$

Step-by-step explanation:

6 × $\frac{3}{4}$

= $\frac{18}{4}$

= $\frac{9}{2}$

= 4 $\frac{1}{2}$

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In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod

ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

$\frac{dp}{dt}=\frac{0.7}{100}P$

$\int \frac{dP}{P}=0.007\int dt$

$lnP=0.007t+C$

Using the formula

$\int \frac{dx}{x}=ln x+C$

$P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}$

$e^C=A$

Initially when t=0,P=323 million

Substitute the values

$323 million=A$

$P=323e^{0.007t}$

Now, substitute P=400 million

$400=323e^{0.007t}$

$ln\frac{400}{323}=0.007t$

$ln(1.2384)=0.007t$

$t=\frac{ln(1.2384}{0.007}$

$t=30.5\approx 31 Years$

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0

3 years ago

Which expression are equivalent to 5x-15? Check all that apply

scZoUnD [109]

1,3 is correct can i be brainliest

5 0

4 years ago

The width of a rectangle is 4 inches less than the length. The perimeter is 60 inches. Find the length and the

coldgirl [10]

Answer:

Length=17

width=13

Step-by-step explanation:

W=width

L=length

Perimeter = 2w+2l since it's a rectangle

W=l-4 (given)

Plug into perimeter equation

Perimeter =(2l-8)+2l

=4l-8

60=4l-8

68=4l

17 =l

W=l-4=17-4=13

6 0

3 years ago

The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the ar

VikaD [51]

Answer:

A. (2 × 6) + (3 × 8) + 6²

72 sq. inches.

B. 9 in. by 8 in.

Step-by-step explanation:

The white shape has dimensions of 2 in. by 6 in. and the green shape is a square.

So, the dimension of the green shape is 6 in. by 6 in.

Therefore, the length of the blue shape is (6 + 2) = 8 in.

Now, given that the area of the blue shape is 24 sq. in.

So, the width of the blue shape is $\frac{24}{8} = 3$ in.

Now, if we consider the total figure, then area of the entire figure = area of the white shape + area of the green shape + area of the blue shape.

= (2 × 6) + (3 × 8) + 6² (Answer)

= 12 + 24 + 36

= 72 sq, inches. (Answer)

Now, the length of the entire figure is (6 + 3) = 9 in. and width of the entire figure is (2 + 6) = 8 in.

Therefore, the dimensions of the entire figure will be 9 in. by 8 in. (Answer)

5 0

3 years ago

If a tennis ball has a diameter of 14, What is the volume of the tennis ball in terms of pie?

katrin [286]

Answer:

the volume of the tennis ball is 1436

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers