Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.

1) Whose stone hit the water second, and at what time?


2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?


3) Who had the higher initial height? What was it?

Given:

The function is:

[tex]y=\sec^{-1}(x)[/tex]

To find:

The range of the given function.

Solution:

We have,

[tex]y=\sec^{-1}(x)[/tex]

The range of secant inverse function is:

[tex]Range=\{y|0\leq y\leq \pi , y\neq \dfrac{\pi}{2}\}[/tex]

The range of the given function in interval notation is:

[tex]Range=\left[0,\dfrac{\pi}{2}\right)\text{ and }\left( \dfrac{\pi}{2}, \pi\right ][/tex]

Therefore, the correct option is C.

the answer is 0.62

62/100 = 0.62

Answer:

0.62

Step-by-step explanation:

the 62 is the number you're mainly working with and the 100 represents the place value! so the 100 means you need to place the top number in the hundredths place (0.62)

Hope this helps! Good luck with your math work!

Answer:

60 degrees

Step-by-step explanation:

Answer:

y does not vary directly with x

Step-by-step explanation:

The equation for direct variation is

y = kx ← k is the constant of variation

If k is constant for all ordered pairs in the table then direct variation.

k = [tex]\frac{y}{x}[/tex]

(2, 10 ) → k = [tex]\frac{10}{2}[/tex] = 5

(4, 24 ) → k = [tex]\frac{24}{4}[/tex] = 6

(6, 36 ) → k = [tex]\frac{36}{6}[/tex] = 6

Since k is not constant for all pairs then y does not vary directly with x

Answer:

32.5

Step-by-step explanation:

I I divided ot then added it together

Answer:

288 inches = 8 yards

Step-by-step explanation:

Answer:

[tex]6 . \: 8 \: yards \: = \: 288 \: inches[/tex]

[tex]8. \: 18 \: feets \: = \: 216 \: inches[/tex]

[tex]10. \: \frac{1}{3} \: yards \: = 12 \: inches[/tex]

Step-by-step explanation:

6. 1 yard = 36 inches

8 yards = 36 × 8

= 288

8. 1 feet = 12 inches

18 feets = 12 × 18

= 216 inches

10. 1/3 into decimal = 0.33333333333

1/3 yards = 0.33333333333 × 36

= 12 inches

Answer:

The test statistic is t = 3.36.

Step-by-step explanation:

You're testing the claim that the mean difference is greater than 0.7.

At the null hypothesis, we test if it is 0.7 or less, that is:

[tex]H_0: \mu \leq 0.7[/tex]

At the alternate hypothesis, we test if it is greater than 0.7, that is:

[tex]H_1: \mu > 0.7[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that [tex]\mu = 0.7[/tex]

Survey of 35 people. From the sample, the mean difference was 0.95, with a standard deviation of 0.44.

This means that [tex]n = 35, X = 0.95, s = 0.44[/tex]

Calculate the test statistic

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}[/tex]

[tex]t = 3.36[/tex]

The test statistic is t = 3.36.

Answer:

He needs 15 shirts

Step-by-step explanation:

We can use a ratio to solve

4 pants             6 pants

--------------- = -------------

10 shirts            x shirts

Using cross products

4x = 10 *6

4x = 60

Divide each side by 4

4x/4 = 60/4

x = 15

He needs 15 shirts

Answer:

10x22x8

Step-by-step explanation:

1760 is the answer

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

I took the quiz, I hope this helps!

Answer:

x=36

Step-by-step explanation:

because 4x36=144

Answer:

4x = 144

4 • 36 = 144

The answer to the equation is 36

Answer:

(1/2)z

Step-by-step explanation:

Answer:

just use a calculator and add all the numbers-

Step-by-step explanation:

add

Answer:

89.38

Step-by-step explanation:

65 times 0.125 = 8.125

65 times 0.25 = 16.25

16.25 plus 8.125 plus 65 = 89.38 dollars

Answer:

I believe the answer is 1.36

Answer:

1

Step-by-step explanation:

Any number to the 0 power is equal to 1.

Hope that this helps!

Answer:

1 is correct

Any number that is raised to the power of 0 is 1, and any number that’s raised to the power of 1 is itself

Answer:

8.5

Step-by-step explanation:

slope of the line that contains KL

(y2 - y1)/(x2-x1)

(0-1)/(7-3)

m = -1/4

slope of the line that contains JK

(5-1)/(4-3)

m = 4

the linea are perpendicular so triangle is right

area = (leg1 x leg2)/2

KL = [tex]\sqrt{(7-3)^2 + (0-1)^2} = \sqrt{16 + 1} = \sqrt{17}[/tex]

KJ = [tex]\sqrt{(4-3)^2 + (5-1)^2}= \sqrt{1 + 16} = \sqrt{17}[/tex]

area = (√17)^2/2 = 17/2 = 8.5

Answer:

Not a right triangle

Obtuse isosceles triangle.

Sides: J = 3.606   K = 6   L = 3.606

Step-by-step explanation:

hope helps you

have a nice day

Answer:

0

Step-by-step explanation:

Given that f(x) = 1/2x + 4

Let y = f(x)

y = 1/2 x + 4

Replace y with x

x = 1/2 y + 4

Make y the subject of the formula

1/2y = x - 4

y = 2(x-4)

If x = 3

y = 2(4-4)

y = 2(0)

y = 0

Hence ƒ -1(4) is 0

sin(x+pi)=-sin(x)=sin(-x)=cos(pi/2)

cos (x+pi)=-cos(x)

So according to the question:

cos(pi/2 +x)=cos(x)

Using the solution of cos, obtain:

(pi/2) + x = 2pi +- (x)

case#1: (pi/2) + x = 2pi + (x)

But here, the value of x is canceled, just

case#2: (pi/2) + x = 2pi - (x)

answer------------>>>>>>>>> x=pi-pi/4

Answer:

D) 180

Step-by-step explanation:

Formula for Surface area of Rectangular prism is

A = 2(lw+wh+lh)

A = 2(6*8 + 8*3 + 6*3)

A = 2(48 + 24 + 18)

A = 2 * 90

A = 180

Answer:

Area of the figure is 88 square inches

Answer:

e. a civil right infringement lawsuit

Step-by-step explanation:

A civil right infringement lawsuit is a lawsuit filed by an offender whose civil rights have been violated by others. Civil rights are those rights of the citizens that is guaranteed by the Constitution of the United States to its people. They are right to equality, right to freedom, right to employment and all those rights that is included in the Bill of Rights of the US constitution.

So, when Kirenna was terminated by her boss, Tanae on the grounds on the discrimination of gender, Kirenna can file a civil right infringement lawsuit against her boss, Tanae.

Answer:

12 kg, 1200 mm, 1200 ml (twice), 12 m, and 120 mm

Answer:

12,000 is 12

120 is 120

1.2 L is 1200

1200 is 120

0.12 is 12

Answer:

x = 11.85

Step-by-step explanation:

[tex]67 - 2x + \frac{89}{2} + 7 -8x = 0\\\\67 + \frac{89}{2}+7 = 8x + 2x\\\\\frac{134 + 89 +14}{2} = 10x\\\\10x = 118.5\\\\x = 11.85[/tex]

Answer:

[tex]x = 11 \frac{17}{20}[/tex] or [tex]\frac{237}{20}[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

geometry

Step-by-step explanation:

left side of paper