Use the remainder theorem to find P (1) for P(x) = 2x - 3x' + 3x -3.Specifically, give the quotient and the remainder for the associated division and the value of P (1).미미2Quotient = 0Х$2Remainder =0P(1) =

if the angles are complementary, then the sum of the angles is 90°

so the measure of the angle 2 is 5°

Answer; Meg's account is < - $15

Meg is owing the bank more than -$15

This implies that, the amount she is owing is more that -$15

The amount she is owing the bank could be -$16, -$17

Therefore, her current back account is less than -$15

Meg's account value is < -$15

Answer:

0.9998

Explanation:

The probability that you will not win the contest can be calculated as 1 less the probability that you will win a contest, so

1 - 0.0002 = 0.9998

Therefore, the answer is 0.9998

EXPLANATION:

Given;

We are given a cone with the following dimensions;

Required;

We are required to calculate the volume of the cone with the given dimensions.

Step-by-step solution;

To solve this problem, we would take note of the formula of the volume of a cone;

We can now substitute and we'll have;

Therefore, the volume of the cone is,

ANSWER:

Explanation

For the first question

We are asked to write the equation of the circle given that

The equation of a circle is of the form

In our case

Substituting the values

For the second question

Given that

We will have to get the midpoints (center) first

Next, we will find the radius

Using the points (4,-3) and (11,-8)

we have that

The area of the composite figure is equal to the area of a rectangle plus the area of a right triangle

so

step 1

Find out the area of the rectangle

A=L*W

A=8*5

A=40 cm2

step 2

Find out the area of the right triangle

A=(1/2)(b)(h)

where

b=8-(2+1)=8-3=5 cm

h=5 cm

A=(1/2)(5)(5)

A=12.5 cm2

therefore

the total area is

A=40+12.5=52.5 cm2

Step-by-step explanation:

A nonagon has 9 sides, so a regular nonagon will have vertices that are 40° apart as measured from the center. It has 9-fold rotational symmetry,

so the figure will be identical to the original when rotated multiples of 360°/9 = 40°.

Therefore the degrees will a nonagon have rotational symmetry

Hene the correct answer is Option B

We write as an inverse proportion first then make an equation by multiplying by k:

Find the value of k:

Then, when x = 2, y is:

Answer: y = 42

The quadratic equation that gives the height of the rocket, h = 156·t - 16·t² is evaluated at h = 60 feet to give the two times the rocket's height is 60 feet as 0.40 seconds and 9.35 seconds.

A quadratic equation is an equation of the second degree that can be expressed in the form; a·x² + b·x + c = 0, where the letters, a, and b represents the coefficients of x and c is a constant.

The initial velocity of the rocket = 156 ft./s upwards

The given equation of the rocket is: h = 156·t - 16·t²

The times when the rocket height is 60 feet are found by plugging in the value h = 60, in the equation of the vertical height of the rocket as follows:  

h = 60 = 156·t - 16·t²

156·t - 16·t² - 60 = 0

4·(39·t - 4·t² - 15) = 0

Therefore: [tex]39\cdot t - 4\cdot t^2 - 15 = \dfrac{0}{4} =0[/tex]

39·t - 4·t² - 15 = 0

-4·t² + 39·t - 15 = 0

From the quadratic formula which is used to solve the quadratic equation of the form; f(x) = a·x² + b·x + c, is presented as follows;

[tex]x = \dfrac{-b\pm\sqrt{b^2-4\cdot a \cdot c} }{2\cdot a}[/tex]

The solution of the equation, -4·t² + 39·t - 15 = 0, is therefore:

[tex]t = \dfrac{-39\pm\sqrt{(39)^2-4\times (-4) \times (-15)} }{2\times (-4)}= \dfrac{-39\pm\sqrt{1281} }{-8}[/tex]

Therefore, when the height of the rocket is 60 feet, the times are: [tex]t = \dfrac{-39-\sqrt{1281} }{-8}\approx 9.35[/tex] and [tex]t = \dfrac{-39+\sqrt{1281} }{-8}\approx 0.40[/tex]

The times when the height of the rocket is 60 feet, the times are:

t ≈ 9.35 s, and t ≈ 0.40 s

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Answer:

       2 0 8

×       2 6

+    1 2 4 8

+    4 1 6  

=  5  4 0 8

The Answer of 208 × 26 Is 5.408

= 208 × 26

= (208 × 6) + (208 × 20)

= 1.248 + 4.160

= 5.408

__________________

Class: Elementary School

Lesson: Multiplication

[tex]\boxed{ \colorbox{lightblue}{ \sf{ \color{blue}{ Answer By\:CyberPresents}}}}[/tex]

we are given the sum of the following fractions:

To sum these fractions we may multiply the numerator and denominator of the second fraction by 5, like this:

Since now they have the same denominator we can add the numerators and leave the same denominator, like this:

Now we can simplify the resulting fraction by dividing the numerator and denominator by 2:

Therefore, the sum of the two fractions is 3/5

The expression that is useful to determine the total amount of credit cards opened at the two locations is (A + B)(t) = 40 + 2t so option (B) is correct.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given,

The amount in location A is given as

A(t) = 15 + 3t

The amount in location B is given as

B(t) = 25 − t

The total amount combined between A and B is given as,

(A + B)(t) = 15 + 3t + 25 - t

(A + B)(t) = 15 + 25 + 3t - t

(A + B)(t) = 40 + 2t

Hence "The expression that is useful to determine the total amount of credit cards opened at the two locations is (A + B)(t) = 40 + 2t".

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Answer:

p(-3) = -428

Given the polynomial function expressed as:

Determine the value of p(-3)

Hence the value of p(-3) is -428

The common ratio = 0.750 (3 decimal places)

Explanation:

Initial drop height = 72 inches

Height after the first bounce = 54 inches

common ratio = r = height on first bounce/initial height

r = 54/72

r = 0.75

The common ratio = 0.750 (3 decimal places)

ANSWER:

STEP-BY-STEP EXPLANATION:

We have that the equation of the circle is given as follows:

Replacing:

We have the next information

100 mg of menthol

every minute the amount of menthol in your body is cut in half

we have the next variables

x= minutes

y= amount of menthol in mg remaining in your body

so the equation that can we model is

then we have that It is safe to take a new cough drop after the level of menthol in your body is less than 5 mg

y= 5mg

in order to know the time we need to solve the equation above

then we isolate the x

after 5 minutes you can take another cough drop

Remember that the pair of coordinates

of a point that lies on the graph of the function tells us the x-value and the

y-value related to that value.

Therefore, the point

Represents that 8 pounds of cheddar cheese cost $44 in total (y represents the total cost, not the cost per pound)

(Correct answer is option B)

We have the next given equation:

Now, we can subtract both sides by 3p:

Then, divide both sides by 6:

Hence, the answer is p=3

For the given situation:

Answer:

Down Here

Step-by-step explanation:

Hello!

Area is measured in units². Here, the units are feet, so the area would be written as feet² (ft²).

Simplifying the expression:

You can't simplify this because the units are not the same, and this can't measure area because all units of the area have to be squared. The term 6ft has non-squared units.

EXPLANATION

Let's see the facts:

rate ---> 3.6 miles / 30 minutes

The unit rate is:

Unit rate = 0.12 miles/minute

Now, dividing the needed 4.8 miles by the unit rate will give us our desired number:

Time= 4.8 miles/ 0.12miles/minute = 40 minutes

The answer is 40 minutes.

Use the distributive property to expand the parenthesis:

Then:

Given the absolute function;

(a)

(b)

Here, we recall the absolute rule that;

Thus, we have;

(c)

Solution

- The solution is given below:

- Thus, we have:

- Thus, the plot is:

We have a one-dimensional horizontal line segment. Three points are indicated on the line as follows:

In the above sketch we have first denoted a reference point at the extreme left hand as ( Ref = 0 ). This is classified as the origin. The point ( A ) is located on the same line and is at a distance of ( 21 units ) from Reference ( Ref ). The point ( B ) is located on the same line and is at a distance of ( 66 units ) from Reference ( Ref ).

The point is located on the line segment ( AB ) in such a way that it given as ratio of length of line segment ( AB ). The ratio of point ( P ) from point ( A ) and from ( P ) to ( B ) is given as:

The length of line segment ( AB ) can be calculated as follows:

We can form a relation for the line segment ( AB ) in terms of segments related to point ( P ) as follows:

We were given a ratio of line segments as ( Eq1 ) and we developed an equation relating the entire line segment ( AB ) in terms two smaller line segments as ( Eq2 ).

We have two equation that we can solve simultaneously:

Step 1: Use Eq1 and express AP in terms of PB.

Step 2: Substitute ( AP ) in terms of ( PB ) into Eq2

We already determined the length of the line segment ( AB ). Substitute the value in the above expression and solve for ( PB ).

Step 3: Solve for PB

Step 4: Solve for AP

Step 5: Locate the point ( P )

All the points on the line segment are located with respect to the Reference of origin ( Ref = 0 ). We will also express the position of point ( P ).

Taking a look at point ( P ) in the diagram given initially we can augment two line segments ( OA and AP ) as follows:

The point ( P ) is located at.

Answer:

Answer:

To find the volume of the cone rounded to the nearest tenth

we have that,

Volume of the cone (V) is,

where r is the radius and h is the height of the cone.

Given that,

r=7 yd

h=19 yd

Substitute the values we get,

we get,

we know that pi is approximately equal to 3.14, Substitute the value we get,

we get,

Answer is: Option D:

The question wants us to solve the following system of equations by elimination:

Solution

Answer

The answer to the system of equations is:

x = -8

y = 1