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1 year ago

What is the domain of the square root function graphed below ?

Mathematics

2 answers:

Serhud [2]1 year ago

8 0

The graph shows that x never becomes < 0. In other words the point (-1,0) is not part of the graph. So D is your only answer.

Anestetic [448]1 year ago

8 0

Answer:

Option D is correct.

Step-by-step explanation:

Given: A graph.

We know that The domain of a function is the complete set of possible values of the independent variable.

From given graph x is independent variable.

Generally Domain for the Square root function is all non negative real numbers.

So, from given graph and general domain.

Domain of given graph = x ≥ 0

Therefore, Option D is correct.

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Use the graph to approximate the ordered pair where the exponential function begins to exceed the quadratic function. a. (2.5,5)

riadik2000 [5.3K]

Answer:

a. (2.5,5)

Step-by-step explanation:

f(x) exponential function exceed quadratic function g(x) at (2.5 , 5)

7 0

2 years ago

The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran

Ganezh [65]

Answer:

a) Hypothesis mean differs from 0.5025. Rejected

b) P-value = 0

c) 0.50456 < u < 0.50464

Step-by-step explanation:

Given:

- The standard deviation s.d = 0.0001 in

- The mean of the sample x = 0.5046 in

- Sample size n = 25

Find:

a) Test the hypothesis that mean rod. Assume two-sided alternative and significance level of 0.05.

b) Find the p-value for test in part

c) Construct a 95% two-sided confidence interval on the mean rod diameter.

Solution:

- The random variable X: the measurements for rod diameter follows a normal distribution:

X~ N( 0.5025 , 0.0001 )

- Testing H_o: u_o = 0.5025 , H_1 : u_o not equal 0.5025

- Compute the corresponding Z-score:

Z_o = (0.5046 - 0.5025) / 0.0001/sqrt(25)

Z_o = 105

- The Z score value with respect to significance level is:

Z_a/2 = Z_0.025 = 1.96

Hence, Z_o > Z_a/n

- The hypothesis H_o is rejected the mean differs from 0.5025.

- The corresponding P-Value is:

P-value = 2*(1 - sig(Z_o)) = 2*(1 - sig(105))

P-value = 2*(1-1) = 0

- The confidence interval is:

( x - Z_a/2(s.d/sqrt(n)) < u < ( x + Z_a/2(s.d/sqrt(n))

( 0.5046 - 1.96(0.0001/sqrt(25)) < u < ( 0.5046 + 1.96(0.0001/sqrt(25))

0.50456 < u < 0.50464

3 0

2 years ago

A circular city plaza is surrounded by a row of bricks. The area of the plaza is 1,520 square meters. How long is the row of bri

Korolek [52]

Answer:

138 meters

Step-by-step explanation:

step 1

Find the radius of the circular city plaza

The area is equal to

$A=\pi r^{2}$

we have

$A=1,520\ m^2$

$\pi =3.14$

substitute

$1,520=(3.14)r^{2}$

solve for r

$r^2=1,520/3.14\\r=22\ m$

step 2

we know that

To find out how long is the row of bricks, determine the circumference of the circular city plaza

The circumference is equal to

$C=2\pi r$

we have

$r=22\ m$

$\pi =3.14$

substitute

$C=2(3.14)(22)=138\ m$

8 0

2 years ago

Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour. Use the

avanturin [10]

<h3>It costs $ 22.5 for mike and his friend to rent paddle board for 3 hours</h3><h3>Mike has $ 2.5 remaining after rental</h3>

<em><u>Solution:</u></em>

Given that,

Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours

Each paddleboard rental costs $3.75 per hour

So there are two persons = mike and his friend

1 hour = $ 3.75

Therefore, for 3 hours:

$3 \times 3.75 = 11.25$

<em><u>Thus for two person:</u></em>

11.25 + 11.25 = 22.5

Thus it costs $ 22.5 for mike and his friend to rent paddle board for 3 hours

Remaining amount = 25 - 22.5 = 2.5

Thus Mike has $ 2.5 remaining after rental

4 0

2 years ago

Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy

Paul [167]

Answer:

Im as confused as you are

7 0

1 year ago

Read 2 more answers