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Inessa05 [86]
2 years ago
9

For this exponential function,

Mathematics
1 answer:
Kryger [21]2 years ago
3 0

Output value (y) of the y = 1.157.exponetial functio9n when x = 3 is: (3, 1,250).

<h3>What is an Exponential Function?</h3>

An exponential function is a type of function that has a constant that is raised to a given power. It is expressed as y  = a^x.

Given the exponential function, y = 10 \times 5^x

When x = 3, thus:

y = 10 \times 5^3\\\\y = 1,250

Therefore, output value (y) of the y = 1.157.exponetial function when x = 3 is: (3, 1,250).

Learn more about exponential function on:

brainly.com/question/2456547

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A submersible vessel at an elevation of -95 feet descends to 5 times that elevation. What is the vessel's new elevation?
trasher [3.6K]
-475
you multiply -95 by 5
6 0
3 years ago
A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be three times the amount o
Len [333]

Answer:

<u>V</u><u>=</u><u>8</u><u>.</u><u>5</u>

Step-by-step explanation:

o=oil. vinegar=v. furniture polish=f

O=3v

34= 3v + v

Using a system of guessing and checking if that number fits equation you can tell that 8 causes the equation to be unequal and also 9. You can learn V must be between 8 and 9 so 8.5 might fit the equation. <u>8.5</u><u>=</u><u>V</u>

6 0
3 years ago
Volume of prisms just 3 problems
Vladimir79 [104]

Answer:

2.  18 cubic cm.

3. 27 cubic cm

5. 90 cubic m

Step-by-step explanation:

2. Triangular prism

So, we have a triangular prism with a width of 3 cm, a height of 1.5 cm and a length of 4.  We'll take the triangle shape as the base.

Like for any prism, the volume is the base multiplied by the height.

So, the area of the base is found with the regular formula: base x height:

so, 3 x 1.5 = 4.5 sq cm for the base.

Then we multiply the base by the length to get the volume: 4.5 x 4 = 18 cubic cm.

3. Trapezoidal prism

Again, first step is to calculate the area of the trapezoid shape, then multiply by its depth.

The area of a trapezoid is calculated with the formula:

A = h/2 * (a + b) where a and b represent the short and long sides respectively.

So, for our given trapezoid:

A = 1.5/2 * (2+4) = 0.75 * 6 = 4.5 sq cm.

Then we multiply the base area by the height to get the volume:

V = 4.5 * 6 = 27 cubic cm

5. Triangular prism 2

The best way to approach this one is to consider it's a triangle prism with a height of 3 cm, and use the triangle shape (with sides of 13 and 5) as the base.

But to calculate the area of that triangle we need to find out the missing length. Using Pythagore's theorem, we can easily find the length of the other side with the hypotenuse formula:

hypotenuse² = sideA² + sideB²

In our case, we have:

13² = x² + 5²

169 = x² + 25

x² = 144

x = 12

Now we can calculate the area of the triangle easily:

A = (b x h)/2 = (5 x 12)/2 = 30 sq m

Then multiply by the thickness of the prism....

V = 30 x 3 = 90 cubic m

4 0
2 years ago
Match the mean, median, mode, and range for the data set below. 2, 7, 8, 4, 8, 2, 5, 5, 7, 2
dusya [7]

Answer:

Mean - 5

Median - 5

Mode - 2

Range - 6

Step-by-step explanation:

Mean-

If you add 2 + 7 + 8 + 4 + 8 + 2+ 5+ 5+ 7 +2= 50

50 divided by 10 (the amount of numbers in the equation) = 5 for the mean

Median-

Put the numbers in order which is

2,2,2,4,5,5,7,7,8,8 and the number is the middle is 5

Mode-

The number that repeats the most is 2

Range-

The largest number is 8 and the smallest number is 2 so 8-2=6

5 0
3 years ago
The equation that represents the canned goods order is 24x+64y=384
Lubov Fominskaja [6]

The x-intercept is (16, 0) and y- intercept is (0, 6).

<h3>What is intercept?</h3>

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given: 24x+64y=384

For y- intercept, put x=0

Then,

24*0+64y=384

64y= 384

y= 6

Now, for x- intercept put y=0

Then,

24x+64*0=384

24x= 384

x= 15

Hence, the x-intercept is (16, 0) and y- intercept is (0, 6).

Learn more about this concept here:

brainly.com/question/2334999

#SPJ1

5 0
2 years ago
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