The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and
was charged $70. How much is she charged for February, when she spoke for 200 minutes?
A
$80
B
$100
$110
$140

The slope of line L1 is obtained to be m = -1.7.

The slope of line L2 is obtained to be m = 1.

The slope of line L3 is obtained to be m = 0.

What is a slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

The line L1 indicated with red colour moves from quadrant 2 to quadrant 4 which means the slope will be negative. It moves 1.7 unit down and 1.7 unit right.

The three options for slope is -

m = 0

m = 1

m = -1.7

Therefore, m = -1.7 is the slope for line L1.

The line L2 indicated with blue colour moves from quadrant 3 to quadrant 1 which means the slope will be positive. It moves 1 unit up and 1 unit right.

The three options for slope is -

m = 0

m = 1

m = -1.7

Therefore, m = 1 is the slope for line L2.

The line L3 indicated with green colour moves from quadrant 3 to quadrant 4 forming a straight horizontal line parallel to x-axis which means the slope will be zero. It moves 0 right.

Therefore, m = 0 is the slope for line L3.

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Answer:

$18

Step-by-step explanation:

If Susan, Jacky, and Tom split $27 equally, we must:

\(\frac{27}{3} = 9\)

Each person gets $9 individually. Jacky has $9 and Tom has $9, so together it totals $18.

Answer: 5 1/30

Step-by-step explanation:

Answer:

? = 5 1/30

Step-by-step explanation:

8 4/5 - 2/3 = 8 2/15

8 2/15 - ? = 3 1/10

8 2/15 - 3 1/10 = 5 1/30

Double check:

8 4/5 - 2/3 - 5 1/30 = 3 1/10

Hope it helped!

Answer:

Step-by-step explanation:

We will first find the prime factorization of 4 and 6. After we will calculate the factors of 4 and 6 and find the biggest common factor number .

Step-1: Prime Factorization of 4

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 22

Step-2: Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:

6 = 21 × 31

Step-3: Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2

Step-4: Factors of 6

List of positive integer factors of 6 that divides 4 without a remainder.

1, 2, 3

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4 and 6. The biggest common factor number is the GCF number.

So the greatest common factor 4 and 6 is 2.

Answer: 2 the gcm of -4 and 6 is two

Answer:

B.- \(\frac{1}{2}\)

Step-by-step explanation:

The common difference is the difference between the numbers in your arithmetic sequence. In this case, we see that the numbers are getting smaller, so we can start by setting up this equation:

\(\frac{2}{3} - \frac{1}{6}\)

Because these fractions don't have a common denominator, you make them equal by changing the fractions to have a common denominator. The LCM is 6, so we multiply the first fraction by 2/2:

\(\frac{4}{6} - \frac{1}{6} = \frac{3}{6}\)

3/6 can be simplified to be 1/2, and we know we're subtracting, so the answer is b.

Answer:

B

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

every year goes up 16%, so

250 * (1+16%)^8 = 819.6

Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

The least squares regression line for the corrected data would be shifted upwards compared to the original data, indicating that increasing the amount of time spent studying would likely have a greater impact on a student's grades.

The least squares regression line for the corrected data would be shifted upwards compared to the least squares regression line for the original data, since the corrected data point has a higher value than the original data point. This shift in the regression line would indicate that, in general, increasing the amount of time spent studying would have a greater impact on the student's grades than the original data indicated.

The least squares regression line for the corrected data would be shifted upwards compared to the original data, indicating that increasing the amount of time spent studying would likely have a greater impact on a student's grades.

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So the price that would maximize revenue is $2.75.

An equation is a mathematical statement that asserts the equality of two expressions. It typically contains one or more variables, which represent unknown values that can be solved for using algebraic methods. An equation can be represented symbolically using mathematical notation, such as using letters, numbers, and mathematical symbols like +, -, x, /, and =. Equations can be used to model and solve a wide variety of problems in mathematics, science, engineering, and other fields.

Here,

We can start by finding the linear equation that relates price and monthly sales. Let's use the point-slope form of a linear equation:

y - y1 = m(x - x1)

where y is the monthly sales, x is the price, m is the slope, and (x1, y1) is a point on the line.

Using the two points we have:

(10, 19000) and (7, 25000)

We can find the slope:

m = (y2 - y1) / (x2 - x1)

m = (25000 - 19000) / (7 - 10)

m = 2000

Now we have:

y - 19000 = 2000(x - 10)

Simplifying:

y = 2000x - 11000

This equation represents the relationship between price and monthly sales.

To maximize revenue, we need to find the price that gives the highest value for the product of price and monthly sales. In other words, we need to find the maximum value of the function:

R(x) = x * y = x(2000x - 11000)

Expanding and simplifying:

R(x) = 2000x² - 11000x

To find the maximum, we need to take the derivative and set it equal to zero:

R'(x) = 4000x - 11000 = 0

Solving for x:

4000x = 11000

x = 2.75

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The lowest common multiple of the expressions 3xyz^2 and 9x^2y + 9x^2 is 9x^2z^2(y + 1)

The expressions are given as:

3xyz^2 and 9x^2y + 9x^2

Factorize the expressions

3xyz^2 = 3 * x * y * z * z

9x^2y + 9x^2 = 3 * 3 * x * x * (y + 1)

Multiply the common factors, without repetition

LCM = 3 * 3 * x * x * (y + 1) * z* z

Evaluate the product

LCM = 9x^2z^2(y + 1)

Hence, the lowest common multiple of the expressions 3xyz^2 and 9x^2y + 9x^2 is 9x^2z^2(y + 1)

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Answer:

it is zero . zero is the degree of zero polnomial

Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.

We know that, to find volume:

Volume = π * \(r^2\) * h

For the smaller stockpot:

Radius (r) = 2.5 inches

Height (h) = 10 inches

Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches

For the larger stockpot:

Radius (r) = 2.5 inches

Height (h) = 16 inches

Volume = π * (2.5)² * 16

             ≈ 628.32 cubic inches

Thus, the volume of larger one is 628.32 cubic inches.

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The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,

Company A: y = 30x + 13

Company B: y = 28x + 15

The amount for x = 4 is given as,

Company A: y = 30 (4) + 13 = $133

Company B: y = 28 (4) + 15 = $127

The amount for x = 4 is given as,

Company A: y = 30 (7) + 13 = $223

Company B: y = 28 (7) + 15 = $211

Then the amount of money saved is given as,

⇒ $233 - $211

⇒ $22

The amount of money saved to clean 7 mattresses is $22.

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Answer:

( 10.5, 2)

Step-by-step explanation:

20+1 ÷ 2 = 10.5

4+0 ÷ 2. = 2

hope it's helpful!

The cost of the car is $59,711.4.

Since,  A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100.

Given here:

Price of the car = $46,890.00,

percent down: 26%,

finance cost: $792.00 per month for 60 months

Thus Total cost= $46,890.00×0.26+60×792

                        = $12191.4 + $47520

                        = $59,711.4

Hence, The cost of the car is $59,711.4

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Answer:

SPANISH TALK THE ENGLSH

Step-by-step explanation:OKKK

OK I GIV ANSWER TALK ENGLISh

Answer:

Final price = $2034

Step-by-step explanation:

Given the following data;

Marked price = $2000

Tax = 13%

Discount = 10%

To find the final sales price;

First of all, we would calculate the discount price

Discount price = 10/100 * 2000

Discount price = 20 * 10 = $200

New Price = marked price - discount price

New Price = 2000 - 200 = 1800

Next, we calculate the tax on the product;

Tax = 13/100 * 1800

Tax = 0.13 * 1800

Tax = $234

Finally, we would determine the final price;

Final price = marked price + Tax

Final price = 1800 + 234

Final price = $2034

Answer:

The answer is B. Nichole's basil plant started at 1 cm and grew 3 cm each day.

The equation is y = 3x +1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Nichole's basil plant started at 1 cm and grew 3 cm each day.

The equation is y = 3x +1

Answer:

(1, -2) is the coordinate of B' after a rotation of 90 degrees

Answer:

B. y = -|x - 2| + 5

Step-by-step explanation:

Here the parent function is |x|. It is flipped and translated upward by 5 units and shifted to the right by 2 units.

y = - |x - 2| + 5

hope this helps!! p.s. i really need brainliest :)

The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).

To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.

When the curve intersects the x-axis, y=0. Therefore, we have:

a⁰ = x³ - a³

x³ = a³

x = a

Next, we need to find the derivative of y with respect to x:

dy/dx = -2x/(3a²√(x³-a³))

At the point where x=a and y=0, we have:

dy/dx = -2a/(3a²√(a³-a³)) = 0

Therefore, the radius of curvature is given by:

R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)

To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:

d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))

At x=a, we have:

d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³

Therefore, the radius of curvature is:

R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)

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Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

A system of linear equations has a unique solution if and only if the determinant of the matrix of coefficients is non-zero and the rank of the coefficient matrix is equal to the rank of the augmented matrix.

For the system to have a unique solution, the number of equations and the number of variables must be equal. If the determinant of the matrix of coefficients is non-zero, the system will have a unique solution if and only if the number of linearly independent rows in the coefficient matrix is equal to the number of variables. If the rank of the coefficient matrix is less than the number of variables, then the system will have either no solution or infinitely many solutions.

In conclusion, for a system of linear equations to have a unique solution, the number of equations must equal the number of unknowns and the determinant of the coefficient matrix must be non-zero. The values of a and b do not affect the existence of a unique solution.

The system of linear equations,

ax + by = c

dx + ey = f

will have a unique solution if and only if the determinant of the matrix of coefficients is non-zero, i.e., ae - bd ≠ 0. The values of a and b that satisfy this condition will result in a unique solution for the system.

If ae - bd = 0, then the system will have either no solution or infinitely many solutions, depending on the values of c and f.

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Consider the system of linear equations where a and b are unspecified constants for which values of a and b will the system have a unique solution?

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

  x ≈ 4.5

Step-by-step explanation:

Let y represent the hypotenuse of the smaller triangle. The Pythagorean theorem tells us the sum of the squares of the legs is equal to the square of the hypotenuse. This lets us write two equations:

  1² +2² = y²

  y² +x² = 5²

Using the first equation to substitute for y² in the second equation, we get ...

  1² +2² +x² = 5²

  1 + 4 + x² = 25 . . . . compute the squares

  x² = 25 -5 = 20 . . . subtract 5

  x = √20 ≈ 4.472 . . . . take the square root

  x ≈ 4.5

Answer: Choice A

Explanation:

\(\frac{h}{6}\) = quotient of h and 6

\(\frac{h}{6}+7.8\) = 7.8 more than the quotient of h and 6

\(\frac{h}{6}+7.8 = w\)

The "is" often refers to "equals" in math translation problems like this.

Another example "h is 10" means "h = 10".

Using cosine addition formula, the value of cos(a + b) is -16/25

Using cosine addition formula, the exact value of cos (a + b) is calculated as;

cos(a + b) = cos a × cos b - sin a × sin b

Our given data;

cos a = 4/5,  0 < a < π/2

cos b = 5/13, -π/2 < b < 0

Using Pythagorean identity;

sin a and sin b;

sin² x + cos² x = 1

To solve for a;

sin a = √(1 - cos² a) = √(1 - (4/5)²) = √(1 - 16/25) = √(9/25) = 3/5

Solving for b;

sin b = √(1 - cos² b) = √(1 - (5/13)²) = √(1 - 25/169) = √(144/169) = 12/13

Substituting the values into cosine addition formula

cos(a + b) = (4/5) * (5/13) - (3/5) * (12/13)

cos(a + b) = (20/65) - (36/65)

cos(a + b) = -16/65

Therefore, the exact value of cos(a + b) is -16/65.

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Answer:

Shirt probability: 100%

Black probability 50%

Step-by-step explanation:

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

The probability that Bill takes out a black or a shirt is 0.8, or 80%

We can use the following formula to calculate the probability that the piece of clothing Bill takes out is black or a shirt:

P(black or shirt) = P(black) + P(shirt) - P(black and shirt)

P(black) is the probability that the piece of clothing is black.

P(shirt) is the probability that the piece of clothing is a shirt.

P(black and shirt) is the probability that the piece of clothing is both black and a shirt.

The probability that the piece of clothing is black is 4 / 10 = 0.4. The probability that the piece of clothing is a shirt is 6 / 10 = 0.6. And the probability that the piece of clothing is both black and a shirt is 2 / 10 = 0.2.

So, the probability that the piece of clothing Bill takes out is black or a shirt is:

P(black or shirt) = 0.4 + 0.6 - 0.2

= 0.8

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