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adell [148]
3 years ago
10

There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using d

ecimal form that can be used to find the amount of years,y, it will take for there to be approximately 450 deer on the island.
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0
I believe the equation would be
160+0.2y

Because 160 deer and you round the 20% into a decimal point.
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Frank and Gertrude mow lawns for extra money over the summer. Frank's income is determined by f(x) = 5x + 15, where x is the num
Zepler [3.9K]
H(x)=5x+15+4x+20

if x=4, together it would be 5(4)+15+4(4)+20
h(x)=20+15+16+20=71
Divided by 2, they'd each get 35.5

If Frank worked alone, he'd get 5(4)+15= 35
He'd make more working together. 
3 0
3 years ago
What is the quality of 4x+27x=5
Nadya [2.5K]

Answer:

<h3>X=5/31=0.16</h3>

Step-by-step explanation:

Isolate x on one side of the equation.

4x+27x=31x (Combine like terms, group like terms, & Add.)

31x=5

31x/31=5/31 (Divide by 31 from both sides.)

5/31=0.16

x=5/31=0.16

In conclusion, the correct answer is x=5/31=0.16.

8 0
3 years ago
A group of learners is trying to identify the vertices of the feasible region from the graph shown below during a Live Classroom
wel

Answer:

what do you want us to answer?

Step-by-step explanation:

3 0
3 years ago
Find the length of the curve y = 3/5x^5/3 - 3/4x^1/3 + 6 for 1 &lt; = x &lt; = 8. The length of the curve is . (Type an exact an
Mashutka [201]

Answer:

\sqrt\frac{387}{20}

Step-by-step explanation:

Arc Length =\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^2 } } \, dx

y=\dfrac{3}{5}x^{\frac{5}{3}}-  \dfrac{3}{4}x^{\frac{1}{3}}+6

\frac{dy}{dx} =x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}}

1+(\frac{dy}{dx})^2 }=1+(x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}})^2\\=1+(x^{\frac{4}{3}}-\dfrac{1}{2}+ \dfrac{1}{16}x^{-\frac{4}{3}})

=\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}}

For the Interval 1\leq x\leq 8

Length of the Curve =\int\limits^8_1 {\sqrt{\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}} } } \, dx\\

Using T1-Calculator

=\sqrt\frac{387}{20}

3 0
3 years ago
Jada is using 84 one-centimeter cubes to build a rectangular prism. She wants the height of the rectangular prism to be 4 centim
Black_prince [1.1K]

Answer:

One rectangular prism is possible with 7cm × 3cm × 4cm.

Step-by-step explanation:

Jada used number of cubes = 84

Side of one small cube = 1 cm

Volume of one small cube = 1 cm³

Volume of 84 small cubes = 84 cm³

She wants to build a rectangular prism with height = 4 cm

Let the length of the prism = x cm

and the width of the prism = y cm

and x > y

Volume of the prism = length × width × height

                                  = (x)(y)(4)

                                  = 4xy cm³

If the volume of prism = volume of 84 small cubes

Then 4xy = 84

xy = 21

Possible values of x = 3, 7

and y = 7, 3

But x > y

So x = 7 and y = 3 will be the answer.

Therefore, only one rectangular prism is possible with dimensions

length = 7 cm, width = 3 cm, height = 4 cm.

4 0
3 years ago
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