Solve 8x + c = kfor x.
A. X = 8(k+c)
B. x = k-c/8
C. x = k+c/8
D. X = 8(k- c).

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

Therefore, the resultant ground speed of the plane after accounting for the wind is approximately 825.8 mph, and the resultant direction is 53.8° East of North.

Step-by-step explanation:

Based results, it appears that the question is asking for the resultant ground speed (magnitude) and direction of a plane flying at 700 mph on a course heading 10° East of North, while experiencing a wind blowing in a direction of 72° West of North at a speed of 150 mph. Here is how to solve this problem:

Convert the course heading and wind direction angles to Cartesian coordinates using the standard unit vector notation i and j. The course heading is (cos(10°)i + sin(10°)j) and the wind is (-cos(72°)i + sin(72°)j).

Add these vectors together to get the resultant vector. The sum is (-478.3i + 684.2j).

Find the magnitude of the resultant vector using the Pythagorean theorem. The magnitude is approximately 825.8 mph.

Find the angle that the resultant vector makes with respect to the North using the inverse tangent function. The angle is approximately 53.8° East of North.

Therefore, the resultant ground speed of the plane after accounting for the wind is approximately 825.8 mph, and the resultant direction is 53.8° East of North.

( Sorry if the answer is wrong ).

The volume of the shape to the nearest tenth is equal to 138.4π m³.

In Mathematics and Geometry, the volume of a sphere can be calculated by using the following mathematical equation (formula):

Volume of a sphere = 4/3 × πr³

Where:

r represents the radius.

By substituting the given parameters into the formula for the volume of a sphere, we have the following;

Volume of a sphere = 4/3 × π × 4.7³

Volume of a sphere = 138.4π m³

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Answer:

D

Step-by-step explanation:

Remember that for this kind of question, when f(x) is given as 3, then 3 is the y value of the point. So you must have a point whose value is (x,3)

There is only one point that does that. x = - 2

The answer is D

Answer: A. AB = BC can be proven true.

An isosceles triangle has two equal side lengths, and since the vertex angle is angle C, it means that sides AB and BC are the equal sides.

B. angle A = angle B can be proven true.

In an isosceles triangle, since the two sides are equal, the base angles are also equal.

D. segment BC = segment AC can be proven true.

In an isosceles triangle, since the two sides are equal, the base segments are also equal.

E. segment AB = segment AC can be proven true.

In an isosceles triangle, since the two sides are equal, the base segments are also equal.

C. angle B = angle C is not true.

Because the vertex angle is angle C, and it is formed by the two base segments, so it will be different than angle B and angle A.

Step-by-step explanation:

Answer:

  B, D

Step-by-step explanation:

You want to know what you can prove, given that the vertex angle of isosceles triangle ABC is angle C.

A triangle is isosceles if it has two congruent sides or two congruent angles. In either case, the angles opposite the congruent sides are congruent, and vice versa.

The vertex angle is opposite the "base" of the isosceles triangle. The sides of the vertex angle are the congruent sides, and the angles that are not the vertex angle are the congruent angles.

These sides share point B, which is not the vertex. This cannot be proven.

These are the base angles of the triangle, hence congruent. This can be proven.

These angles cannot be proven congruent using the given information. This will be true if and only if the isosceles triangle is also an equilateral triangle.

These sides share point C, which is the vertex. This can be proven.

These sides share point A, which is not the vertex. This cannot be proven.

Answer: A

Step-by-step explanation:

just took the test

Answer:

i think that the answer is like hhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

The line slants downward from left to right, indicating that as x increases, y decreases.

The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1

Dividing both sides by 2:y = (-1/2)x - 1/2

The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).

Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.

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Answer: Select all the ratios that are equivalent to the ratio 12 : 3. Explain how you know.

A. 6:1

B. 1:4

C. 4:1

D. 24 : 6

E. 15:6

F. 1,200 : 300

G. 112: 13

So the answers are c, d, and f.

Step-by-step explanation:

Answer:

C, D, and F

Step-by-step explanation:

You have to find numbers that are equal to 12 and 3.

C - 4:1, that's both numbers divided by 3.

D - 24:6 both numbers have been doubled.

F - 1,200:300 both of the numbers are ×100.

Hope this helps :)

Answer:

no correlation

Step-by-step explanation:

The price of the smartphone is fixed beforehand, therefore price does not depend upon the number of units sold.

Hence, there is no correlation between the two given variables.

Hence, no correlation would be the answer.

P(Drive to school') = 3/5

Explanation:

Total students = 100

Number of studentsthat drive to school = sophomore (2) + junior (13) + senior (25)

Number of students that drive to school = 2 + 13 + 25 = 40

Number of students that donot drive to school = Total students - Numbers that drive to school

Number of students that donot drive to school = 100 - 40

Number of students that donot drive to school = 60

Probability that a random student do not drive to school = P(Drive to school')

Probability that a random student do not drive to school = Numbers that donot drive to school/total students

P(Drive to school') = 60/100

P(Drive to school') = 3/5

Answer:

none of those?

Step-by-step explanation:

4(-2c) = -8c

Answer:    -9c

Step-by-step explanation:

4(-2c) - c

= -8c - c

= -9c  

-9c is the answer

Answer:

2 / 5

Step-by-step explanation:

Fractions are written in the form part/whole, in this case, the part is 18 and the whole is 45 so the fraction would be 18 / 45 which simplifies to 2 / 5.

(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

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Answer:

\(5 { \times 54}^{2} \)

Answer:

36 years old (jim)

Step-by-step explanation:

looks like a good ol' word problem!

first, if you don't know what to do, always assign variables

Jim's age: x+9

June's age: x

Alex's age: x-8

we know the sum of their ages which is 82

so, x+9+x+x-8=82

simplify

3x+1=82

3x=81

x=27, but we're not done yet

Now we know x

jim: 36

june: 27

Alex: 21

so the oldest is jim at 36

Step-by-step explanation:

2l+2w=perimeter

L is Length

W width

Answer:

24ft

Step-by-step explanation:

it said its right

Answer:

2  3   5

Step-by-step explanation:

Answer:

4/9, 11/13, 6/5

Step-by-step explanation:

The quadratic equation is given by:

y = 3x² + 10x - 8

The standard equation of a parabola is given by:

y = ax² + bx + c

Where a, b, c are constants

At point (4, 80):

80 = a(4)² + b(4) + c

16a + 4b + c = 80     (1)

At point (-3, -11):

-11 = a(-3)² + b(-3) + c

9a - 3b + c = -11     (2)

At point (-1, -15):

-15 = a(-1)² + b(-1) + c

a - b + c = -15     (3)

Solving equations 1, 2 and 3 simultaneously gives:

a = 3, b = 10, c = -8

Therefore the quadratic equation becomes:

y = 3x² + 10x - 8

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Using a system of equations, the number of children and adults who attended the movies is as follows:

A system of equations is two or more equations solved concurrently.

A system of equations is also known as simultaneous equations.

The total number of people who went to the movies = 100

The unit cost of adult tickets = $4

The unit cost of children tickets = $2

The total sales = $276

Let the number of children who attended the movies = x

Let the number of adults who attended the movies = y

x + y = 100 ... Equation 1

2x + 4y = 276 ... Equation 2

Multiply Equation 1 by 2:

2x + 2y = 200 ... Equation 3

Subtraction Equation 3 from Equation 2:

2x + 4y = 276

-

2x + 2y = 200

2y = 76

y = 38

Substitute y = 19 in equation 1:

x + y = 100

x + 38 = 100

x = 62

Check in Equation 2:

2x + 4y = 276

2(62) + 4(38) = 276

124 + 152 = 276

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The detailed answer of this question is:

P(X > 100 | X > 50)=0.455

Given that X follows an exponential distribution, we know that the probability density function (PDF) of X is given by:

f(x) = λe^(-λx) for x ≥ 0

where λ is the rate parameter of the distribution.

We are given that P(X < 50) = 0.25. Using the cumulative distribution function (CDF) of X, we can write:

P(X < 50) = 1 - e^(-λ*50) = 0.25

Solving this equation for λ, we get:

λ = -ln(0.75)/50 ≈ 0.0278

Now, we are asked to find P(X > 100 | X > 50). Using the definition of conditional probability, we can write:

P(X > 100 | X > 50) = P(X > 100 and X > 50) / P(X > 50)

= P(X > 100) / P(X > 50)

= e^(-λ100) / e^(-λ50)

= e^(-λ*50)

Substituting the value of λ, we get:

P(X > 100 | X > 50) = e^(-0.0278*50) ≈ 0.455

Therefore, the probability that a high-risk driver will have an accident after 100 days given that they have not had an accident for the first 50 days is approximately 0.455.

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Answer:

c=-26/4 simple addition and multiplation

Step-by-step explanation:

\( - 14 = 3 - c + (9 + 5c) \\ - 14 = 3 - c + 9 + 5c \\ c - 5c = 3 + 9 + 14 \\ - 4c = 3 + 9 + 14 \\ - 4c = 26 \\ - 2c = 13 \\ c = - \frac{13}{2} \\ c = - 6.5\)

Answer:

The answer is "-4(h+9)"

Step-by-step explanation:

Given:

\(\bold{ -2(2h+10)+4h-2(2h+10)+4-2(2h+10)+4h}\)

\(\to -4h-20+4h-4h-20+4-4h-20+4h \\\\\to -4h -60+4 \\\\\to -4h-36\\\\\to -4(h+9)\)

Answer:

−20−4h+4h or −20 (If you are on khan then its A and B)

Step-by-step explanation:

100% correct

Answer:

8+15+4x and 3x+15+3x

Step-by-step explanation:

Answer:

So the greatest common factor 44 and 220 is 44.

Step-by-step explanation: