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2 years ago

George weighed 180 pounds in January. Now he weighs 150 pounds? What percent has he lost?

Mathematics

1 answer:

aalyn [17]2 years ago

6 0

<u>Answer:</u> 0.166666667 or 17%

<u>Reasoning:</u> During that time he lost a total of 30 pounds! Meaning we will divide 30 by 180...

30/180=0.166666667

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(ii) The bearing of R from Q is

sveticcg [70]

Answer:

RQ is equals to RQ

Explanation:

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2 years ago

Use these functions to answer the questions.

Elenna [48]

Part A
We have $f\left(x\right)=\left(x+3\right)^2-1$ . To solve for the x-intercept, we set f(x) equal to 0. That is
$\left(x+3\right)^2-1=0$

$\left(x+3\right)^2=1$

Take the square root of both sides,
$x+3=1$

$x=-2$

The x-intercept is (-2,0).

To solve for the y-intercept, we set x=0. That is
$y=\left(0+3\right)^2-1=3^2-1=9-1=8$

The y-intercept is (0, 8)

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have $g\left(x\right)=-2x^2+8x+3$ .
Factor out -2
$=-2\left(x^2-4x\right)+3$

Complete the square
$=-2\left(x^2-4x+4\right)+3-2\left(4\right)$

Simplify
$g(x)=-2\left(x-2\right)^2-5$

Part C
We have $h\left(t\right)=-16t^2+28t$ .
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.

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3 years ago

How is domain of the function f(x)=sinx restricted so that its inverse function exists?

Virty [35]

Answer:

Correct answer: sin x ⇒D(x) : [- π/2, π/2] ; sin⁻¹x ⇒ CD(x) : [- π/2, π/2]

Step-by-step explanation:

In order for the function sin x to have an inverse function sin⁻¹x due to the monotony, the domain is taken D(x) : [- π/2, π/2] and the range of sin⁻¹x is CD(x) : [- π/2, π/2].

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3 years ago

In a diagram, X is the midpoint of Segment VZ. VW =5, and VY =20. Find the coordinates of W,X, and Y.

guapka [62]

solution:

$x(a_{x},b_{x})is midpoint of vz\\
a_{x}=\frac{a_{v}+a_{z}}{2}=\frac{-12+22}{2}=\frac{10}{2}=5\\
b_{x}=\frac{b_{v}+b_{z}}{2}=\frac{0+0}{2}=0\\
and,\\
x(5,0)\\
w(a_{w},b_{w}),v_{w} and w is on the right of v.\\
a_{w}-a_{v}=5\\
a_{w}-(-12)=5\\
a_{w}+12=5\\
a_{w}=5-12=-7\\
w(-7,0)\\
y(a_{y},b_{y})=20 and y is on the right of v.\\
a_{y}-a_{v}=20\\
a_{y}-(-12)=20\\
a_{y}+12=20\\
a_{y}=20-12=8\\
y=(8,0)$

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2 years ago

A company deposits $25,000 in a bank account that earns interest. The value of the account can be represented as 25,000e^0.0198t

nasty-shy [4]

Answer:

k = 1.2

Step-by-step explanation:

Solving for t when the account value is 30,000, we have ...

30,000 = 25,000e^(0.0198t)

30,000/25,000 = 1.2 = e^(0.0198t)

ln(1.2) = 0.0198t

t = ln(1.2)/0.0198

Matching this with the form ...

t = ln(k)/0.0198

we see that k = 1.2.

_____

k is the multiplier of account value in time period t.

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2 years ago