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gulaghasi [49]
2 years ago
6

Find the missing values for the exponential function represented by the table below. x values: 0, 1, 2, 3, 4 y values: 24, 40.8,

69.36, _____, _____
Mathematics
1 answer:
lakkis [162]2 years ago
3 0

f(x)=b(a)^x\\\\x=0\to y=24\qquad\text{substitute}\\\\b(a)^0=24\to b=24\\\\x=1\to y=40.8\qquad\text{substitute}\\\\24(a)^1=40.8\qquad\text{divide both sides by 24}\\\\a=1.7\\\\f(x)=24(1.7)^x\\\\\text{check for x = 2}\\\\f(2)=24(1.7)^2=24(2.89)=69.36\qquad\text{CORRECT}\\\\f(3)=24(1.7)^3=24(4.913)=117.912\\\\f(4)=24(1.7)^4=24(8.3521)=200.4504

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Marrrta [24]

Answer:

A) 1,492

B) 1,908

Step-by-step explanation:

A) The equation set up for this part is 1,542-50=1,492 We know that we're subtracting 50 from 1,542 because it say that the plane starts below sea level.

B) The equation set up for this part is 3,400-1,492=1,908 We know that we're subtracting the answer from part A from 3,400 because the plane will need to climb the difference in order to reach 3,400.

4 0
3 years ago
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Angelina_Jolie [31]

Answer:

15.13cm

Step-by-step explanation:

From that above question:

We are told that:

Lateral surface area of a right circular cone : πr√r² + h²

We are give the following parameters:

Lateral surface area = 236.64cm²

Radius = 4.75cm

We are to find the height

Making h the subject of the formula

h = √[(A/r)² - πr²]/π

h = √[(236.64/4.75)²- π ×4.75²]/π

h = 15.12975 cm

Approximately to the nearest hundredth = 15.13cm

7 0
2 years ago
Help Me Please!!!!1
Lena [83]

Answer:

The space inside the box = 2197 in³ - 1436.76 in³ is 760.245 in³.

Step-by-step explanation:

Here we have the volume of the cube box given by the following relation;

Volume of cube = Length. L × Breadth, B × Height, h

However, in a cube  Length. L =  Breadth, B = Height, h

Therefore, volume of cube = L×L×L = 13³ = 2197 in³

Volume of the basketball is given by the volume of a sphere as follows;

Volume = \frac{4}{3} \pi r^3

Where:

r = Radius = Diameter/2 = 14/2 = 7in

∴ Volume of the basketball = \frac{4}{3} \times  \pi \times 7^3 = 1436.76 \ in^3

Therefore, the space inside the box that is not taken up by the basketball is found by subtracting the volume of the basketball from the volume of the cube box, thus;

The space inside the box = 2197 in³ - 1436.76 in³ = 760.245 in³.

7 0
3 years ago
Solve for n. 24 = 3(n -5)​
Masteriza [31]

Answer:

n=13

Step-by-step explanation:

24=3(n-5)

24=3n-15

-3n=-24-15

-3n=-39

n=13

8 0
3 years ago
A 30 feet ladder is leaning against the wall. The top of the ladder is resting 25 feet on the building. How far is the base of t
g100num [7]

Answer:

16.58 feet

Step-by-step explanation:

a² + b² = c²

Think of this as a right triangle

The hypotenuse is 30, and one of the legs is 25

To find the other leg, subtract the square of the hypotenuse by the square of the given leg

30² - 25² = leg

900 - 625 = 275

Square root the answer to find the length of the missing leg

√275 = 16.583123951777

The leg is 16.58 ft.

6 0
2 years ago
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