Graph and label the numbers -3 1/2, 2 1/4 and 1/2 on the number line. Then graph and label their opposites. ( Number 5 )

Answer:

Linear monomial

Step-by-step explanation:

As here the number of terms is only 8x that is only one hence it is a monomial and as its degree here is 1 hence it is linear.

So it is a linear monomial.

1. The trigonometric ratios are given as follows:

2. The equation to solve for x is given as follows: sin(52º) = x/13.

3. Two equations to solve for m are given as follows:

4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.

5. The lengths are given as follows:

The three trigonometric ratios are given as follows:

In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:

sin(52º) = x/13.

In item 3, the Pythagorean Theorem is used to solve for m, as follows:

n² + m² = l².

m² = l² - n²

m = square root (l² - n²).

In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:

sin(62º) = 7/h

h = 7/sin(62º)

h = 7.9 inches.

The length BD in item 5 is obtained as follows:

cos(30º) = BD/5

BD = 5 x cos (30º)

BD = 4.3 cm.

Then the length BC is calculated as follows:

sin(22º) = 4.3/BC

BC = 4.3/sin(22º)

BC = 11.5 cm.

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The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Answer:

sorry i need points.....

The interest rate required to get a total amount, principal plus interest, of $11,430.00 from simple interest on a principal of $9,000.00 over 3 years is 9% per year.

We can use the simple interest formula to solve this problem:

I = P × r × t

Where I is the interest earned, P is the principal (initial amount), r is the interest rate, and t is the time in years.

We know that Connor had $11,430 in the account after 3 years, and he had initially deposited $9,000. So the interest earned is:

Interest = accrued amount - principal

I = $11,430 - $9,000

I = $2,430

Substituting the values we have into the formula, we get:

I = P × r × t

$2,430 = $9,000 × r × 3

Simplifying, we get:

r = $2,430 / ($9,000 × 3)

r = 9/100

r = 0.09

R = r × 100%

R = 0.09 × 100%

R = 9%

Therefore, the interest rate for Connor's savings account is 9%.

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Answer:

End Balance: $5,160.00

Total Interest: $2,160.00

Step-by-step explanation:

Total Interest =$3000 × 2% × 3 × 12

=$2,160.00

End Balance =$3000 + $2,160.00

=$5,160.00

Answer:

can we get the options

Step-by-step explanation:

Based on the information provided, we can prepare a cost of production report for the Roasting Department as follows: (see attached images)

A Cost of Production Report is a document that summarizes the total costs incurred by a company to manufacture a product or provide service during a specific period of time.

The report provides information on the direct materials, direct labor, and factory overhead costs that were involved in producing the item, as well as any other costs associated with the production process.

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Answer:

Distance between  the observer and the red car is \(250 Sin \frac{\pi}{3}t\)

Step-by-step explanation:

Diameter of field = 500 m

Radius of field =\(\frac{Diameter}{2}=\frac{500}{2}=250 m\)

Let R be the radius and the speed at which the car completes race be w

So,\(w=\frac{2\pi}{T}\)

Car finished 5 laps in minutes = 30

Car finished 1 lap in minutes = \(\frac{30}{5}=6\)

So, \(w=\frac{2\pi}{6}=\frac{\pi}{3}\)

Refer the attached figure

Angle between car and observer = wt

So, Distance between  the observer and the red car is give as A sin wt

So, Distance between  the observer and the red car=\(250 Sin \frac{\pi}{3}t\)

Answer:

9

Step-by-step explanation:

-15 - -14y = -9

two negatives (close together) makes a positive

-15y + 14y = -9

add like terms

-1y = -9

get y alone (divide whats in front of it) and do the same on the other side

-1y/-1 = -9/-1

if you divide two negatives it makes it positive so youll get 9

Answer:

irrational number i believe

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/1 * 2/1 = 4

Using it's concept, it is found that there is a 0.8 = 80% probability that the learner is a senior or a male.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 6 + 4 + 5 = 15 students. Of those, there are 6 seniors, and 6 male non-seniors, hence there are 12 desired outcomes, and the probability is given by:

p = 12/15 = 0.8 = 80%.

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Answer:

7/10

Step-by-step explanation:

If you have 10 sweets

Your brother eats 3

You eat 4

3 + 4 = 7

7 out of ten = 7/10

So therefore the answer is 7/10

Answer:

7/10 (seven tenth)

Step-by-step explanation:

If 7 out of 10 sweets were eaten, then 7/10 of the sweets are gone.

Basically the way you do it, is add the amount of sweets you two ate together, which is 3 + 4 = 7 and there are 10 sweets in all, that's 7/10 of the sweets eaten all together.

The sum of the inverse cosine and the inverse sine of the same ratio is; Choice B; 90°.

The sine and inverse sine functions can help find the missing angle in a right triangle; Choice C; both is correct.

Recall that; if angles A and B are complementary angles; i.e A + B = 90; then

sin A = cos B = x

On this note since sin A = x and cos B = x;

sin-¹ x = A and cos-¹ x = B

On this note, the sum of sin-¹ x and cos-¹ x = A + B = 90°.

Hence, Choice B is correct.

2. It follows from triangle geometry that the measure of acute angles of a right triangle can be determined by trigonometric ratios.

Hence, both sin and sin-¹ would allow one to find the missing angle in a right triangle. Hence, Choice C is correct.

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Answer:

The answer would be 59

Step-by-step explanation:

first 9 times 6 which is 54 then you add 4 and 54 plus 4 is 59 and also PEMDAS first is Multiplication and then addition hope this helps :D And keep learning !

Answer:

21 & 11

Step-by-step explanation:

Let x = first number and y = second number. We need to find the values of x and y, so we need to set up a system of linear equations. The first equation would be x + y = 32 because x and y add up to 32. Then the second equation would be x - y = 10 to represent that the two numbers have a difference of 10. Solving by elimination, we add and get 2x = 42, so x = 21. Then substitute 21 for x in either one of the equations to get y = 11.

Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.

According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:

First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):

9 ÷ 6 = 1.5

This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:

1.5 ÷ 1 = 1.5

(teaspoons of oil per 1 teaspoon of vinegar)

24 ÷ 1.5 = 16

(teaspoons of vinegar needed)

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The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)

From the question, we have the following parameters that can be used in our computation:

2ˣ⁺⁴

The above expression is an exponential expression with the following properties

When the above expression is expanded, we have

2ˣ⁺⁴ = 2ˣ * 2⁴

Evaluate the expression 2 exponent 4

So, we have the following representation

2ˣ⁺⁴ = 2ˣ * 16

Rewrite as follows

2ˣ⁺⁴ = 16 * 2ˣ

This gives

2ˣ⁺⁴ = 16(2ˣ)

Hence, the expression that is equivalent to the expression is 16(2ˣ)

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Answer:

24 miles per hour.

Step-by-step explanation:

you divide 144 by 6 to get 24.

Answer:

24 miles per hour

Step-by-step explanation:

To find the mph rate, you just have to take the number of miles traveled, divided by the time.

So:

144 ÷ 6 = 24

Which means they were traveling at 24 miles per hour

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

1/16 pound

Step-by-step explanation:

1/4 ÷ 4 = 1/4 x 1/4 = 1/16

Answer:

3/32

Step-by-step explanation:

the reason it’s 3/32 is because you have to divide 3/4 divide by 8. So that means 3/4x1/8 and that gives you 3/32. I hope that helped you!

The value of x and y are 5 and 3 respectively.

The value of x and y when (x , 2y) = (5, 6) can be found as follows:

Therefore, the x coordinates of the graph is given as 5 while the double of y coordinates is equals to 6. Then, we have to equate the values as follows:

x = 5

2y = 6

The value of x is known by mere equating.

Hence, let's find the value of y.

2y = 6

divide both sides of the equation by 2

2y / 2 = 6 / 2

y = 3

Therefore, the value of y = 3 and x = 5.

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Answer:

– 2

Step-by-step explanation:

From the question given above, the following data were obtained:

P(x) = polynomial

P(–5) = – 2

P(5) = –1

Remainder when P(x) is divided by

(x + 5) =?

To obtain the remainder when P(x) is divided by (x + 5), we shall apply the reminder theorem as follow:

Let (x + 5) be equal to 0

(x + 5) = 0

x + 5 = 0

Subtract 5 from both side

x + 5 – 5 = 0 – 5

x = –5

Replace x in P(x) with –5 as shown below:

P(x) = polynomial

x = – 5

P(–5)

From the question given above,

P(–5) = – 2

Therefore, when P(x) is divided by

(x + 5), the remainder is – 2.

Step-by-step explanation:

x = 360 - 128 + 52 + 38

x = 360 - 218

x = 142

Answer:

ab=56

Step-by-step explanation:

14 x 4 = 56

Answer:

56

Step-by-step explanation:

14*4 = 56

AB = multiplication

Answer:

17/5

Step-by-step explanation:

plug in 3/5 for p

2/3(3/5)+3

2/5+3=17/5