i need help!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°

\(y = 1.38x + 12.60\)

Step-by-step explanation:

Step-by-step explanation:

sin A = opposite/ Hypotenuse

Sin A = 5/7

Hello !

sin(A) = opposite/hypotenuse = 5/7

arcsin(5/7)  ≈ 45,58°

sin(A) = 5/7

the angle A ≈ 45,58°

Answer:

f(x)=293(1.06)^x;370

The quail population after 4 years is 370

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let y represent the population of the quail after x years.

There is an initial population of 293 quail, hence a = 293. the population increases at an annual rate of 6%. hence b = 100% + 6% = 1.06

The exponential function is given by:

y = 293(1.06)ˣ

The population after 4 years:

y = 293(1.06)⁴ = 370

The quail population after 4 years is 370

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Answer:

3^2

Step-by-step explanation:

3x3x3 = 27

Because if you have 3^2 then that is 3 to the power of 2 and 3 to the power of 2 is 27.

Answer:

3 by the power of 2

Step-by-step explanation:

Ok I dont know how to do this im so sorry

Answer:

25/9 or 2 7/9

Step-by-step explanation:

5-2 2/9

5-20/9

45/9-20/9

25/9

2 7/9

Answer:

25/9 or.. 2 7/9

Step-by-step explanation:

hope this helped!!<3

Answer:

( 0, -29)

Step-by-step explanation:

Answer: ( I solve (more like the internet solve) for both x and y.

Step-by-step explanation: To find the x-intercept, substitute in  0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Answer:

hello

Step-by-step explanation:

\(137 = - 151 + t \\ 137 + 151 = t \\ t = 288\)

hope this is correct.

Answer:

Step-by-step explanation:

Let x be the cost of the bench. Then the cost of the garden table is 3x.

The combined cost of the bench and the table is 1000, so x + 3x = 1000.

Combining like terms, we get 4x = 1000.

Dividing both sides by 4, we get x = 250.

The cost of the bench is 250.

Answer:

250.

Step-by-step explanation:

Let's call the cost of the bench "x".

The cost of the garden table is then 3x.

So the combined cost of both is x + 3x = 4x = 1000

So x = 250, and the cost of the bench is 250.

Answer:

set them equal to each other and solve for x

Step-by-step explanation:

Answer:

(x - 3)^2 + (y + 1)^2 = 50.

Step-by-step explanation:

The center of the circle is the midpoint of the diameter

= (-2+8)/2 , (4 - 6)/2

= (3, -1).

The radius^2  can be calculated from one point on the circle ( -2, 4) and the center (3, -1).

The radius^2 =  (-2-3)^2 + (4- -1)^2

= 25 + 25 = 50.

So the equation of the circle

is (x - a)^2 + (y - b)^ = r^2   where (a, b) is center and radius = r.

= (x - 3)^2 + (y + 1)^2 = 50

Answer:

.0589582125/*6.059852 cuhhhhh

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The empirical rule states for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviations and 99.7% falls within three standard deviations.

z score is given by:

\(z=\frac{x-\mu}{\sigma}\)

Given that mean (μ) = 42 ounces, standard deviation (σ) = 10 ounces.

a) 99.7% falls within three standard deviations. Therefore:

99.7% falls within μ ± 3σ = 42 ± 3(10) = 42 ± 30 = (12, 72)

Therefore 99.7% falls within 12 ounce and 72 ounce.

b) For x > 26

\(z=\frac{26-42}{10}=-1.6\\\)

For x < 66

\(z=\frac{66-42}{10}=2.4\\\)

From the normal distribution table, P(26 < x < 66) = P(-1.6 < z < 2.4) = P(z < 2.4) - P(z < -1.6) = 0.9918 - 0.0548 = 0.937 = 93.7%

c) For x > 34

\(z=\frac{34-42}{10}=-0.8\\\)

From the normal distribution table, P(x > 34) = P(z > -0.8) = 1 - P(z < -0.8) = 1 - 0.2119 = 0.7881 = 78.81%

Answer:

Step-by-step explanation:

Given that:

Mean \(\mu\) = 42

standard deviation \(\sigma\) = 10

Using Empirical Rule:

\(\mu\)  - \(\sigma\) = 42 - 10 = 32                   \(\mu\)  + \(\sigma\) = 42 + 10 = 52                  

\(\mu\)  - 2\(\sigma\) = 42 - 2(10) = 22            \(\mu\)  + 2\(\sigma\) = 42 + 2(10) = 62         

\(\mu\)  - 3\(\sigma\) = 42 - 3(10) = 12             \(\mu\)  + 3\(\sigma\) = 42 + 3(10) = 72      

The curve is attached in the image below.

a). the widget of 99.7% lies between 12 and 72

b) 68 + 13.5 = 81.5%

c) 50 + 34 = 84%

9514 1404 393

Answer:

  (a) 11·10^21

Step-by-step explanation:

"Scientific notation" has a mantissa that has one digit to the left of the decimal point. The number 11·10^21 has two digits to the left of the decimal point, so is not in the form required by scientific notation.

  11·10^21 is not in scientific notation

_____

It would be correctly written in scientific notation as as 1.1·10^22.

Answer:

A) 11 ⋅ 10^21

When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).

Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.

The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).

Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.

Hence, option (c) is the correct answer.

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1)The coordinates of the post office is ( 2,3). This coordinate is in the first quadrant. Coordinates in the first quadrant are all positive, so the only possible option is the city hall (1,5). It too is in the first quadrant. Others have negative coordinates so that they occur at other quadrants

Option C

2) Coordinates (-2,-2) refers to C

The equation to find the cost per slice is c=x/n  where x is the total prize of pizza and n is the total no. of slices.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

If x is the total price of pizza( which is $20 in this case) and if all the slices are equally cut, then the cost of each slice would be total price divided by total slices.

Hence, the equation is  c= x/n

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

21

Step-by-step explanation:

One third of the number can be represented by 1/3t.

To make an equation, set this equal to 7.

1/3t = 7

Then, solve for t by dividing each side by 1/3:

1/3t = 7

t = 21

So, the number is 21.

Answer:

Step-by-step explanation:

1.) No. of student who can play an instrument= 20÷100×1,080 =0.2×1,080 = 216

2.) Minimum rate Sheila can work in =20 problems÷ 5 mins= 4 problems/min

3.) 75%

Answer:

b

Step-by-step explanation:

The sum of angles 7 and 8 is 180, so to find angle 8 you would subtract angle 7 from 180. So:

180 - 92 = 88  

The answer is B, 88 degrees.

Answer:

88° is your answer......

A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.

In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.

Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.

If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.

The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.

If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.

Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.

Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.

This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.

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For the given quadratic the vertex is (-4, 6) and the focus (-4, 6.02)

Here we have the quadratic equation:

x^2 + 8x - 12y + 88 = 0

Isolating y, we get:

x^2 + 8x + 88 = 12y

(x^2 + 8x + 88)/12 = y

(1/12)*x^2 + (8/12)*x + (88/12) = y

Now, using the formula for the x-value of the vertex we get:

x = -(8/12)/(2*1/12) = -4

To get the y-value of the vertex we evaluate in x = -4, we will get:

y = ((-4)^2 + 8*-4 + 88)/12 = 6

So the vertex is (-4, 6)

Now we want to find the focus, the x-value is the same one as the vertex, and the y-value is:

y = k + 1/4a

Here we have k = y-value o the vertex = 6

a = leading coefficient = 1/12

Then:

y = 6 + 1/4*12 = 6.02

Then the focus is (-4, 6.02)

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The range of a set of data is the difference between the largest and the smalles numbers in the set. In this case, the largest number is 16 and the lowest 6. Then the range will be

So, the range of the set of data is 10.

Answer:

Prime Factors is a  factor of a given integer which is also a prime number.

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Answer:

8

2−x

=2

8^{2-x}=8^{1/3}8

2−x

=8

1/3

2-x=\dfrac{1}{3}2−x=

3

1

​

x=\dfrac{5}{3}x=

3

5

​

2.

(\dfrac{1}{2})^{x}<\dfrac{1}{8}(

2

1

​

)

x

<

8

1

​

(\dfrac{1}{2})^{x}<(\dfrac{1}{2})^{3}(

2

1

​

)

x

<(

2

1

​

)

3

x>3x>3

3.

5^x=25^{x-2}5

x

=25

x−2

25^{x/2}=25^{x-2}25

x/2

=25

x−2

\dfrac{x}{2}=x-2

2

x

​

=x−2

\dfrac{x}{2}=2

2

x

​

=2

x=4x=4

4.

3^{x+2}\geq273

x+2

≥27

3^{x+2}\geq3^33

x+2

≥3

3

x+2\geq3x+2≥3

x\geq1x≥1

5.

4^{3x}=8^{x-1}4

3x

=8

x−1

2^{6x}=2^{3x-3}2

6x

=2

3x−3

6x=3x-36x=3x−3

3x=-33x=−3

x=-1x=−1

Step-by-step explanation:

Answer:

37.61 years

Step-by-step explanation:

I am assuming this is compound interest

35 multiplied by 1.04 to the power of 36.86 does not generate enough money.

35 multiplied by 1.04 to the power of 37.61 does.

Answer:

37.61 yrs  

Step-by-step explanation:

FV = future value = 150 000

PV = present value = 35 000

i = decimal interest = .04

annual interest periods = n

 formula    FV = PV ( 1 + i)^n      plug in the values and solve for 'n'

                 150 000 = 35000 ( 1 + .04)^n

                   150000/35000 = (1 + .04)^n      take log of both sides

                       .632 =  n log1.04

                             n = years = 37.105 years