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kaheart [24]
3 years ago
10

15% of 72 is ______​

Mathematics
1 answer:
BigorU [14]3 years ago
6 0

Answer: convert 15% to a decimal. 0.15 times 75 is 11.25

Converting Percentages to Decimals

Easiest—divide by 100: The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100.

Move the decimal: Another way to convert a quoted percentage to decimal format is to move the decimal two places to the left

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A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. Determine the intervals on which the function is
mel-nik [20]

Answer:

Option (2). Increasing x > 0; decreasing x < 0

Step-by-step explanation:

Equation of the parabola having vertex (0, 3) will be,

y = (x - 0)² + 3

y = x² + 3

To check the function is increasing or decreasing in the given intervals we will find the derivative of the function,

\frac{dy}{dx}=\frac{d}{dx}(x^{2}+3)

y' = 2x

For x < 0 Or x = -1

y' = 2(-1)

  = -2 < 0

Therefore, function is decreasing in x < 0

For x > 0 Or x = 1

y' = 2(1) + 3

  = 5 > 0

Therefore, function is increasing in x > 0

Option (2) is the answer.

8 0
3 years ago
Find the value of x in the rectangle below.​
ololo11 [35]
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x
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x
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Decimal Form:
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6 0
2 years ago
Can somebody please help me with this pleaseee
Semmy [17]

Answer: -2, 2

Step-by-step explanation:

0 = 5x^2 -20

0 = 5(x^2 -4)

0 = 5(x - 2)(x + 2)

0 = x - 2

2 = x

0 = x + 2

-2 = x

6 0
2 years ago
Two horses are ready to return to their barn after a long workout session at the track. the horses are at coordinates H(1,10) an
ss7ja [257]
The given information are the coordinates of points H, Z and B. So, the first step to do is to plot these points on a Cartesian plane as shown in the attached picture. We can deduce visually that horse Z is closer to the barns than horse H. But, to further justify the answer, we have to provide the magnitude of the distance of horses H and Z to barn B. In this approach, we use the distance formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

Use the coordinates of the two points to know their linear distances. These are represented by the red and green lines for each of the horses.

Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B  = 19.4165

Since the scale is 1 unit = 100 meters, the actual distance between horse H and barn B is 19.416*100 = 1,941.65 meters


Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B  = 16.4012

Since the scale is 1 unit = 100 meters, the actual distance between horse Z and barn B is 16.4012*100 = 1,640.12 meters

Comparing the distances: 1,941.65 meters > 1,640.12 meters. Therefore, it justifies that horse Z is nearer to the barn.

4 0
3 years ago
Calculate a vector c in the same direction of the vector a and that has the same length as the vector b
Viktor [21]

For any scalar t>0, t\vec a is a vector pointing in the same direction as a.

To force this vector to have the same length as another vector \vec b, first normalize t\vec a by dividing it by its norm,

\dfrac{t\vec a}{\|t\vec a\|}=\dfrac{t\vec a}{t\|\vec a\|}=\dfrac{\vec a}{\|\vec a\|}

then multiply this vector by the norm of \vec b, so that

\vec c=\dfrac{\|\vec b\|}{\|\vec a\|}\vec a

To confirm that \vec c has the same length as \vec b:

\|\vec c\|=\left\|\dfrac{\|\vec b\|}{\|\vec a\|}\vec a\right\|=\dfrac{\|\vec b\|}{\|\vec a\|}\|\vec a\|=\|\vec b\|

8 0
3 years ago
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