2 . Select the correct answer from the drop-down menu. When this polynomial is divided by (m + 1), the remainder is 0. What is the value of the polynomial's constant term? -2m2 + m - m +​

Answer:

Franklin sold 5x bars.

Step-by-step explanation:

Franklin Sells 5x bars. I assume the question is asking for an expression with the usage of X instead of an actual value or when that is attainable. If there's any more information that you can provide, let me know and I'll redo the problem.

the slope of the given point is m=2/17

1) For this question, all we need to do is to plug it in the value for x.

So,

2/3x -8 =0 Plugging into x the value x=12

2/3(12) -8 =0

8 -8 =0

0

So when x=12, then the equation is equal to zero. This leads us to conclude that 12 is the root or the solution of this equation.

The equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is: (x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

To find the equation of the sphere passing through the point (4, 3, -1) with a center at (3, 8, 1), we can use the general equation of a sphere:

(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2

where (h, k, l) represents the center of the sphere and r represents the radius.

First, we need to find the radius. The distance between the center and the given point can be calculated using the distance formula:

√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]

Substituting the coordinates of the center (3, 8, 1) and the given point (4, 3, -1), we have:

√[(4 - 3)^2 + (3 - 8)^2 + (-1 - 1)^2]

Simplifying, we get:

√[1 + 25 + 4] = √30

Therefore, the radius of the sphere is √30.

Now we can substitute the center (3, 8, 1) and the radius √30 into the general equation:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30

So, the equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

This equation represents all the points on the sphere's surface.

Know more about sphere here,

https://brainly.com/question/22849345

#SPJ11

Answer: 3

Step-by-step explanation: 2 * 3 equals 6 and 6+4=10

Hopefully I did that right I am sorry if I didn't

Answer:

x=881/110 =8^1/110 =8.009

Step-by-step explanation:

2.75(2x−14)=5.55

Divide both sides by 2.75.

2x-14=5.55/2.75

Expand  5.55/2.75 by multiplying both numerator and the denominator by 100.

2x−14= 555/275

Reduce the fraction  555/275 to lowest terms by extracting and canceling out 5.

2x−14= 111/5

Convert 14 to fraction  770/55 = 14

2x=111/55+770/55

Since 111/55 and 770/55 have the same denominator, add them by adding their numerators.

2x=111+770/5

Add 111 and 770 to get 881.

2x=881/55

Divide both sides by 2.

x= 881/55/2

Express 881/55/2 as a single fraction.

x= 881/55 x 2

Multiply 55 and 2 to get 110.

x = 881/110

Step-by-step explanation:

-2<-1 and denominators are same

-5<-3

positive number is always greater than negative numbers as they come after negative numbers.

Answer:

Step-by-step explanation:

1. Simplify the expression

2. Find the greatest common factor of the numerator and denominator ( divide)

(1.50)/ (14.50)

3. Factor out and cancel the greatest common factor

Answer is 1/14

The coordinates of a point is the location of the point in a plane.

The coordinates of the centers of holes are: (48.5, 28) and (28, 48.5)

Given

\(\theta_1 = \theta_2 = \theta_3 = 30^o\)

\(R = 60\)

\(r = 56\)

I've added an attachment as an illustration

Considering \((x_1,y_1)\)

To solve for x1, we make use of cosine ratio.

So, we have:

\(\cos(\theta_1) =\frac{x}{r}\)

Make x the subject

\(x_1 = r \times \cos(\theta_1)\)

\(x_1 = 56 \times \cos(30^o)\)

\(x_1 = 48.5\)

To solve for y1, we make use of sine ratio.

So, we have:

\(\sin(\theta_1) =\frac{y_1}{r}\)

Make y the subject

\(y_1 = r \times \sin(\theta_1)\)

\(y_1 = 56 \times \sin(30^o)\)

\(y_1 = 28\)

So, we have:

\((x_1,y_1) = (48.5,28)\)

Considering \((x_2,y_2)\)

To solve for x2, we make use of cosine ratio.

So, we have:

\(\cos(\theta_1+\theta_2) =\frac{x_2}{r}\)

Make x the subject

\(x_2 = r \times \cos(\theta_1+\theta_2)\)

\(x_2 = 56 \times \cos(30+30)\)

\(x_2 = 56 \times \cos(60^o)\)

\(x_2 = 28\)

To solve for y1, we make use of sine ratio.

So, we have:

\(\sin(\theta_1+\theta_2) =\frac{y_2}{r}\)

Make y the subject

\(y_2 = r \times \sin(\theta_1+\theta_2)\)

\(y_2 = 56 \times \sin(30+30)\)

\(y_2 = 56 \times \sin(60)\)

\(y_2 = 48.5\)

So, we have:

\((x_2,y_2) = (28,48.5)\)

Hence, the coordinates of the centers of the holes are: (48.5, 28) and (28, 48.5)

Read more about coordinate geometry at:

https://brainly.com/question/8121530

The total number of pizzas consumed by the 10 members of the club is 2.5 and 3.5 pizzas remain, as Mr. Cam bought 6 pizzas and each of the 10 members ate 1/4 of a pizza.

Mr. Cam bought 6 pizzas for the club and each of the 10 members ate 1/4 of the pizza. To find out how many pizzas were eaten, we can use the formula:

Number of members x Pizza per member = Total Pizzas Consumed

In this case, we can substitute the given values in the formula:

10 members x 1/4 pizza/member = 10/4 = 2.5 pizzas

This means 2.5 pizzas were consumed by the members. Since Mr. Cam bought 6 pizzas and 2.5 pizzas were eaten, the total number of pizzas remaining is 6 - 2.5 = 3.5 pizzas.

This equation works because it uses the concept of the unitary method, where we find the total number of pizzas consumed by multiplying the number of members by the number of pizzas each member ate. This way we can find the total amount of pizza consumed.

To learn more about fractions at

https://brainly.com/question/10354322?referrer=searchResults

#SPJ4

By utilizing the law of the sines and Heron's formula, we find that the approximate area of the triangle is approximately 73.1 square centimeters. (Correct choice: A)

Prior to using Heron's formula, we must find the lengths of the missing sides by law of the sines:

A = 180° - 95° - 35°

A = 50°

\(b = 14\,cm \times \frac{\sin 35^{\circ}}{\sin 50^{\circ}}\)

b ≈ 10.483 cm

\(c = 14\,cm \times \frac{\sin 95^{\circ}}{\sin 50^{\circ}}\)

c ≈ 18.206 cm

Now, we proceed to calculate the area of the triangle:

s = 0.5 · (14 cm + 10.483 cm + 18.206 cm)

s = 21.345 cm

\(A = \sqrt{(21.345\, cm) \cdot (21.345\, cm - 14\,cm)\cdot (21.345\, cm - 10.483\,cm)\cdot (21.345\,cm - 18.206\,cm)}\)

A ≈ 73.113 cm²

By utilizing the law of the sines and Heron's formula, we find that the approximate area of the triangle is approximately 73.1 square centimeters. (Correct choice: A)

To learn more on triangles: https://brainly.com/question/2773823

#SPJ1

Answer:

Answer is 69%

Step-by-step explanation:

Because 69% of 42 is 29

Answer:

29/42*100=69%

Step-by-step explanation:

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

When two variables vary directly they follow the next:

k is a constant.

Use the given data: when x=48, y=36 o find the value of k:

Then, x and y vary directly following the next equation:

Use the equation above to find x when y=18:

∠XBC is 55 degrees because it is corresponding to ∠AXY..

The angle ∠BXC is 70 degrees

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, same interior angles, vertically opposite angles etc.

Therefore, XY and BD are parallel lines.

XB = XC

ΔXBC is an isosceles triangle.

Therefore, ∠XBC is 55 degrees because it is a corresponding angle to ∠AXY.

Let's find ∠BXC.

Therefore, the base angles of an isosceles triangle are congruent.

Hence,

∠XBC = ∠BCX = 55 degrees

Therefore,

55 + 55 + ∠BXC = 180

110 + ∠BXC = 180

∠BXC = 180 - 110

∠BXC = 70 degrees

learn more on angles here: https://brainly.com/question/18359073

#SPJ1

Answer:

y=-1/3x+8

Step-by-step explanation:

3x=y+3

y=3x-3

When it is perp find the reciprocal of the coefficient of x and flip the sign.

3x ---> -1/3x

y=-1/3x+b

Then plug in the (-3,9) to x and y

9=1+b

b=8

Substitute in the answers

y=-1/3x+8

Answer:

A) 15x+9x

B) you have to graph

C)yes, all she wants to do is make 90 bucks she can totally do more if she wants

D) you can choose

Step-by-step explanation:

15*12 & 9*12

A relation in math is a set of ordered pairs containing two elements, one from each set. The first element is from the domain and the second from the range.

Relations can be expressed as a set of ordered pairs, as a graph, or as a mapping diagram. A function is a special type of relation in which, for every element in the domain, there is one and only one element in the range. This is expressed mathematically by stating that for every x in the domain, there is one and only one y in the range such that y = f(x). To calculate a relation, the domain and range values are paired with each other, and the ordered pairs are written down. For example, if the domain is {2,3,4,5} and the range is {7,8,9,10}, then the relation would be {(2,7),(3,8),(4,9),(5,10)}.

Learn more about range here:

https://brainly.com/question/16664109

#SPJ4

The numbers in this problem are classified as follows:

More can be learned about rational and irrational numbers at brainly.com/question/5186493

#SPJ1

Answer:

False.

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Integration

Integration Rule [Fundamental Theorem of Calculus 2]:                                     \(\displaystyle \frac{d}{dx}[\int\limits^x_a {f(t)} \, dt] = f(x)\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle F(x) = \int\limits^{3x}_{-2} {sin(t)} \, dt\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer:

Look below.

Step-by-step explanation:

1 pound=16 ounces

If each cereal box contains 18 then that means that one box has 1 pound and 2 ounces. We need about 72 ounces to reach 4 pounds.

72/18=4 ------->  4 boxes of cereal.

Answer:

1) B

2) D

3) A

4) B

Step-by-step explanation:

We use a closed/filled in dot in math to represent an inequality where we have ≤ or ≥ and an open dot when its < or >. This is to represent that from the inequality we are also including the = component of the inequality.

After you know this, its pretty simple to work out which way the numbers go on the number line when its greater or less than depending on the question

Frequency means how often a number or something appears.

so,

2

4

3

5

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
To learn more about truth table
https://brainly.com/question/28605215
#SPJ4

Answer: 27

Step-by-step explanation: in order to find out the LCM, you have to list out the multiples of 9 ( 9: 9, 18, 27, 36, etc.) and 27 ( 27: 27, 54, etc). Then you find the least common multiple which in this case is 27.

Answer: Each pair of gloves costs $15 and each pair of hat costs $10.

Step-by-step explanation:

Let x = Cost per pair of gloves

y= Cost per hat.

As per given, we have

\(5x+2y=95 \ \ \ \ (i)\\4x+y=70\ \ \ \ \ (ii)\)

Multiply (ii) by 2 , we get

\(8x+2y=140\ \ \ \ (iv)\)

Eliminate (i) from (iv), we get

\(3x=45\\x=15\)

Put this in (ii), we get

\(4(15)+y=70\\60+y=70\\y=10\)

Hence, each pair of gloves costs $15 and each pair of hat costs $10.

A. the solution to the integral equation is: y(t) = 3/8 * sin(4t) - 3/16 * cos(4t) + 3/8 * t²

B. y(t) is indeed the solution to the integral equation.

What is integration?

Integration is a mathematical operation that is the reverse of differentiation. Integration involves finding an antiderivative or indefinite integral of a function.

a) To solve the integral equation using Laplace transforms, we first take the Laplace transform of both sides of the equation. Let's denote the Laplace transform variable as s. Then we have:

LHS = L { ∫sin(4(t - w)) y(w) dw }

= ∫ e^(-sw) sin(4(t-w)) y(w) dw

= y * sin(4t) * (1/s) - y * cos(4t) * (4/s²)

where * denotes convolution. Note that we used the Laplace transform of sin(4t) and cos(4t) to obtain the last line.

For the RHS, we have:

RHS = L { 3t² } = 6/s³

Setting LHS = RHS, we obtain:

y * sin(4t) * (1/s) - y * cos(4t) * (4/s²) = 6/s³

Solving for y, we get:

y(t) = \(L^{-1}\) { 6 / s³ * [ (s² + 16) / s ] }

= 6/16 * t² + 3/8 * sin(4t) - 3/16 * cos(4t)

where \(L^{-1}\) denotes the inverse Laplace transform.

Therefore, the solution to the integral equation is:

y(t) = 3/8 * sin(4t) - 3/16 * cos(4t) + 3/8 * t²

b) Using convolution, we can verify that y(t) satisfies the original integral equation:

LHS = ∫ sin(4(t - w)) y(w) dw

= ∫ sin(4(t - w)) [3/8 * sin(4w) - 3/16 * cos(4w) + 3/8 * w²] dw

= [3/8 * cos(4t) - 3/16 * sin(4t)] + [3/32 * cos(4t) - 3/64 * sin(4t)] + [3/32 * t² - 3/8 * t * sin(4t) + 3/16 * cos(4t)]

= 3t²

where we used integration by parts to evaluate the integrals involving sine and cosine functions. Therefore, y(t) is indeed the solution to the integral equation.

To learn more about integration from the given link:

brainly.com/question/18125359

#SPJ1