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Yakvenalex [24]
3 years ago
8

25 POINTS!!!!!!

Mathematics
2 answers:
8_murik_8 [283]3 years ago
7 0
Your anwer is C)<span>f(x) = 467(5 to the one fourth power)4x</span>
konstantin123 [22]3 years ago
7 0

Answer: C. f(x)=467(5)^{\frac{1}{4}x}

Step-by-step explanation:

Given: The function f(x)=467(5)^x represents the growth of a ladybug population every year in a wooded area.

If Adrianne wants to manipulate the formula to an equivalent form that calculates every 3 months, not every year.

Then, the time changes from 1 year to 3 months.

Since, 1 year = 12 months

And 1 month = \frac{1}{12} year

So, 3 months = \frac{3}{12}=\frac{1}{4} year

So, the required function would look like :_

f(x)=467(5)^{\frac{1}{4}x}

Hence, C is the right answer.

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Question 1. Enter the ratio equivalent to sin(B)
Deffense [45]

Answer:

The three questions about the given triangle has been answered below.

Step-by-step explanation:

We are given a right angled triangle whose sides are of length 20, 21 and 29.

<u>(1)</u> sin(B) = \frac{side opposite to B}{hypotenuse}

              = \frac{21}{29}

              = 0.72

<u>(2)</u> sin(A) = \frac{20}{29}

     sin(A)  = 0.689

     ∠CAB = sin^{-1}(0.689)

     ∠CAB = 43.551°

<u>(3)</u> We suppose that cosA < sinA and we haveto find which all angles will satisfy this condition.For this the angle A should be greater than 45°.

From the given options the angles that satisfy this are 55 , 66 and 75.

45 is not included as then sinA = cosA and that condition is not there.

8 0
3 years ago
Pls help help me out help help pls help quick
kotegsom [21]
The answer is b I hope this help
7 0
3 years ago
Read 2 more answers
The dimensions of a closed rectangular box are measured as 90 centimeters, 50centimeters, and 90 centimeters, respectively, with
gogolik [260]

Answer:

184 cm²

Step-by-step explanation:

Surface area of the rectangular box is expressed as S = 2(LW+LH+WH)

L is the length of the box = 90 cm

W is the width of the box = 50 cm

H is the height of the box= 90 cm

If there are error of at most 0.2 cm in each measurement, then the total surface area using differential estimate will be expressed as shown;

S = 2{(LdW+WdL) + (LdH+HdL) + (WdH+HdW)

Note that dL = dW = dH = 0.2 cm

Substituting the given values into the formula to estimate the maximum error in calculating the surface area of the box

S = 2{(90(0.2)+50(0.2)) + (90(0.2)+90(0.2)) + (50(0.2)+90(0.2))

S = 2{18+10+18+18+10+18}

S = 2(92)

S = 184 cm²

Hence, the maximum error in calculating the surface area of the box is 184cm²

5 0
3 years ago
In questions 1a-1d, choose yes or no to tell if the number 1/2 will make each equation true.
Tresset [83]

Answer:

Step-by-step explanation:

1a = yes

1b = no, you don’t add the denominators together when adding.

1c = yes

1d = yes

4 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50 feet cubed. A cylinder with height h a
Arada [10]

Answer:

Volume of the sphere is 66.67r/h

Step-by-step explanation:

Hello,

Volume of a sphere = ⁴/₃πr³

Volume of a cylinder = πr²h

The volume of the cylinder = 50ft³

But the cylinder and sphere both have the same radius and height

Volume of a cylinder = πr²h

50 = πr²h

Make r² the subject of formula

r² = 50/πh

Volume of a sphere = ⁴/₃πr³

Put r² into the volume of a sphere

Volume of a sphere = ⁴/₃π(50/πh)r

Volume of a sphere = ⁴/₃ × 50r/h

Volume of a sphere = ²⁰⁰/₃ r/h

Volume of a sphere = 66.67r/h

The volume of the sphere is 66.67r/h

7 0
4 years ago
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