Select the statement(s) that accurately describes the nature of an angle in standard position. (Select all that apply.) A)Two or more positive angles can not share the same terminal side. B)An obtuse angle is any angle whose terminal side is not in quadrant 1. C)An acute angle can have its terminal side in quadrant 4. D)Its vertex is at the origin. E)The terminal side of a negative-measured angle is generated in the clock-wise direction from the x-axis.

There is no angle measure (in degrees) for which cos(θ) = 3/2 because the cosine function only takes values between -1 and 1.

Now, let's solve for the angle measure (θ) in degrees for which cos(θ) = 3/2.

The cosine function has a range of -1 to 1. Since 3/2 is greater than 1, there is no real angle measure (in degrees) for which cos(θ) = 3/2.

In trigonometry, the values of sine and cosine are limited by the unit circle, where the maximum value for both sine and cosine is 1 and the minimum value is -1. Therefore, for real angles, the cosine function cannot have a value greater than 1 or less than -1.

So, in summary, there is no angle measure (in degrees) for which cos(θ) = 3/2 because the cosine function only takes values between -1 and 1.

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2 a) The letter A represents the value 0/3 on the number line.

2 b) The letter B represents the value 1/3 on the number line.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

The number line is given.

The letter A represents the value of 0.

Find the value of 0/3.

Zero divided by anything yields the value 0.

Therefore, the value 0/3 is represented by letter A = 0.

Find the value of 1/3.

The decimal notation of fraction 1/3 is 0.33.

The value of 1/2 is 0.5.

This number should lie between 0 and 0.5.

Therefore, the value 1/3 is represented by letter B.

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2a) Which letter represents the better 0/3?

2b) Which letter represents the better 1/3?

Answer:

B

Step-by-step explanation:according to my calculations it’s b

The solution is, Option B. f(x) = One-half(3)x.

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

from the given graph we get,

The function in the graph is an exponential growth function.

Therefore its equation is g(x)= 3^x

A transformation that shrinks this graph is of the form: f(x)= k* 3^x, where

0<k<1

From the given options, we must have

k=1/2

This implies that:

f(x)= 1/2 * 3^x.

Hence, The solution is, Option B. f(x) = One-half(3)x.

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Given:

89.3%

To convert into decimal:

Hence, the answer is 0.893.

Let us denote the total number of fish in the lake as 'x.' Initially, the ranger catches 400 fish and marks them with ink and puts them back in the lake.

Hence, now the total number of fish becomes 'x + 400.'On the next day, the ranger catches 60 fish, of which 3 are marked. So, the fraction of marked fish in the sample is 3/60. This fraction represents the fraction of marked fish in the entire lake. Therefore, the total number of fish in the lake is given byx + 400 = 60/3x + 400 = 20x = 20 * 60x = 1200Therefore, the ranger would expect to have 1200 fish in the whole lake.

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Answer:

24

Step-by-step explanation:

3 * 2 = 6 * 4 = 24

Answer: 48

Step-by-step explanation:

3 x 2^4 =3 x 16 = 48

Given

Probability distribution table

Find

Mean , variance and Standard Deviation

Explanation

As we have given

X = 0 , 1 , 2 , 3 , 4 , 5

P(X) = 0.15 , 0.20 , 0.35 , 0.22 , 0.07 , 0.01

Mean

Formula is given by

first we find the values of X.P(X)

Variance =

standard deviation =

Final Answer

Therefore ,

Mean = 1.89

Variance = 1.38

Standard Deviation = 1.17

Answer:

your answer is gonna be A!! <3

Step-by-step explanation:

1 Subtract 33 from both sides.

y-3=-2x

y−3=−2x

2 Divide both sides by -2−2.

-\frac{y-3}{2}=x

−

2

y−3

=x

3 Switch sides.

x=-\frac{y-3}{2}

x=−

2

y−3

Answer:

A

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

ITSSSS 64!!

The value of y will be 57.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

If the profit equation for a small business selling x number of item one and y number of item two is;

⇒ p = 3x + 4y

Now,

Substitute x = 75 and p = $453 in above equation and find the value of y as;

⇒ p = 3x + 4y

⇒ 453 = 3 × 75 + 4y

⇒ 453 = 225 + 4y

⇒ 453 - 225 = 4y

⇒ 4y = 228

⇒ y = 57

Thus, The value of y will be 57.

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Answer:

x=3

Step-by-step explanation:

y= -2

4x-3y=18

4x-3(-2)=18

4x-(-6)=18

4x+6=18

4x+6-6=18-6

4x=12

\( \frac{4x}{4} = \frac{12}{4} \)

x=3

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a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer:

C) 1/2

Step-by-step explanation:

We know that 3/8 cup of brown sugar and 1/3 cup of white sugar are mixed together to make the sugar mixture.

From this sugar mixture, 1/4 cup is set aside for the crumb topping.

To find out how much sugar mixture is used to make the cake, we need to subtract the amount set aside for the crumb topping from the total sugar mixture.

We can start by converting the mixed unit of measurement (brown sugar in cups and white sugar in cups) to a single unit of measurement (cups)

3/8 cup of brown sugar + 1/3 cup of white sugar = (3/8)+(1/3) = 5/12 cup + 4/12 cup = 9/12 cup.

1/4 cup is set aside for the crumb topping.

So, the remaining sugar mixture used to make the cake is 9/12 cup - 1/4 cup = (9/12) - (1/4) = (9-3)/12 = 6/12 cup = 0.5 cup

Answer:

C, 6 by 15 ft.

Step-by-step explanation:

10*3/2=15, and 4*3/2=6, so we get 6 by 15ft

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Answer:

          Statement                                                      Reason

the answer for the equation is 0

The tangent function is defined as the ratio of the sine function to the cosine function. It is periodic with a period of pi and has vertical asymptotes at odd multiples of pi/2. An equation for a tangent function with a domain of all real numbers and n as an integer is given by the following equation:
y = tan(x + n(pi))


The tangent function is defined as the ratio of the sine function to the cosine function, and it is periodic with a period of pi. It has vertical asymptotes at odd multiples of pi/2.
The tangent function can be represented by the following equation:
y = tan(x)
Where x is the angle measured in radians.
If we want to shift the graph of the tangent function by a certain amount, n, in the horizontal direction, we can use the following equation:
y = tan(x + n(pi))
Where n is an integer.
For example, if n = 2, then the graph of the tangent function would be shifted 2pi units to the left, and the equation would be:
y = tan(x - 2pi)
If n = 3, then the graph of the tangent function would be shifted 3pi units to the left, and the equation would be:
y = tan(x - 3pi)
And so on for any integer value of n.

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Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

Answer:

y=mx+b, where m is slope, b is y-int and x and y are variables.

S = 40N + 1600

Graphing:

Plot your y-int at (0,1600). Plot your slope in. Draw a line thru the points.

Points: (1,1640), (2,1680) etc

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A ratio in mathematics displays how often one number occurs in another and the given situation's specific heat ratio is 1.24.

In mathematics, a ratio shows how frequently one number appears in another.

For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons.

Oranges make up 8:14 of the total fruit, whereas lemons make up 6:8 of the total fruit.

So, e are informed that the volume is halved, and the pressure increases by a factor of 2.5.

We shall therefore have:

PVγ = 2.5P(0.5V)γ

We'll condense this to:

(1/0.5)γ = 2.5

γ = In2.5/In2

γ = 1.32

The volume temperature relation is written as follows if the volume expands in an adiabatic process:

T1V1∧γ-1 = T2V2∧γ-1

T1V1∧1.32-1 = T2(0.5V1)∧1.32-1

Condensing this results in:

T₁ = 1.24T₂

Therefore, a ratio in mathematics displays how often one number occurs in another and the given situation's specific heat ratio is 1.24.

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Answer:

247mm

Step-by-step explanation:

247mm

Answer:

195 milimeters

Step-by-step explanation:

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer:

The answer is No

Step-by-step explanation:

None of these match eachother or make any sense

Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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Answer:

−7   1/2

Step-by-step explanation:

     1

-7  2

Answer: -0.83333333333

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3(4-2)

PEMDAS says parentheses first

3 ( 2)

Then multiply

6

Answer:

Step-by-step explanation:

3(4 - 2)

Solve the terms in the bracket first

That's

4 - 2 = 2

So we have

3( 2) = 6

Hope this helps you

The maximum Number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

To find the maximum number of  scholars in each row, we need to determine the  topmost common divisor( GCD) of the total number of  scholars in each section. The GCD represents the largest number that divides all the given  figures unevenly.  

Given that there are 24, 36, and 60  scholars in the three sections, we can calculate the GCD as follows    Step 1 List the  high factors of each number  24 =  23 * 31  36 =  22 * 32  60 =  22 * 31 * 51    

Step 2 Identify the common  high factors among the three  figures  Common  high factors 22 * 31    Step 3 Multiply the common  high factors to find the GCD  GCD =  22 * 31 =  4 * 3 =  12  

 thus, the maximum number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

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The area of the regular octogon is 196.15 square inches.

For a regular octogon with apothem A and side length L, the area is given by:

area =(2*A*L) * (1 + √2)

Here we know that:

A = 7in

L = 5.8 in

Replacing these values in the area for the formula, we will get the area:

area = (2*7in*5.8in) * (1 + √2)

area = 196.15 in²

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Answer:

98

Step-by-step explanation:

An average score can be calculated by finding the sum of all scores and then dividing by the number of tests. So we can create an equation like this:

\(\frac{(92+86+83+90+91+x)}{6}=90\)

The numerator is the sum of her scores, where x represents the score of her next test (which is what we're trying to find).

The denominator is the total number of tests, which is 6 - this includes the 5 she has taken already and the next test that she hasn't taken yet.

Furthermore, we know all of this has to equal 90 because that's the average we're looking for.

Now we just solve for x.

Step 1) Multiply by 6:

\(92+86+83+90+91+x=90 \times 6\)

Step 2) Simplify equation:

\(442+x=540\)

Step 3) Subtract 442:

\(x=540-442=98\)

Therefore, x = 98, so Danielle must achieve a score of 98 to have an overall class average of 90.