What is the slope of the line in this graph?
y 10
9
18
17
6
4
3
12
1
X
4
5
6
7
8
9
10

Answer:

(-6,4)

Step-by-step explanation:

Answer:

21 2121212121212121212121

Answer:

12

Step-by-step explanation:

y= 51 x 4 = 204

x= 3 x 4 = 12

Answer:

Step-by-step explanation:

The value of X when Y is 204 is 12

Let the relationship between X and Y be a direct proportion

If Y and X is directly proportional then;

k is the constant of proportionality

If X = 3 and Y = 51

In order to get the value of X if Y is 204, Recall;

Hence the value of X when Y is 204 is 12

Answer:

$21

Step-by-step explanation:

Hello,

She earned $630 for 1 week.

In 1 week, she worked 30 hours.

So, she earned $630 for 30 hours.

The hourly rate is then 630 / 30 = 21.

Thank you.

D. The function  {(4,1), (-7,0), (-12,2), (0,0), (-12,1)} has the given domain  {-12, -7, 0, 4, 12} and range  { 0, 1, 2}.

The domain is the set of all inputs which has an output or range.The range of a function is the set of all outputs form which the domain is defied.

According to the given question domain and range of a function are given they are { -12, -7, 0, 4, 12 } and { 0, 1, 2 }.

This can be written an an ordered pair as { (-12,0), (-12,1), (-12,2), (-7,0), (-7,1), (-7,2), (0,0), (0,1), (0,2), (4,0), (4,1), (4,2), (12,0), (12,1), (12,2) }.

From the given options we can observe that in option D. which has ordered pairs { (4,1), (-7,0), (-12,2), (0,0), (-12,1) }.

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Answer:

$215.92

Step-by-step explanation:

Answer:

correct order=

Step-by-step explanation:

Question:

Solution:

A) Any vertical line, will have an undefined slope. These lines are always of the form x=c, where c is a constant. Thus, a possible equation of a line with an indefinite slope could be:

B) A point on the line defined above has any y coordinate, but the x coordinate is constant, that is, x = 3. Thus a point on the line x= 3, would be:

Answer:

$1092.96

Step-by-step explanation:

Based on the given conditions, formulate: 990 × ( 1 + 2 × 5.2% )

Calculate the product or quotient: 990 × ( 1 + 0.104 )

Calculate the sum or difference: 990 × 1.104

Calculate the product or quotient: 1092.96

Round the number: 1092.96

Answer: $1092.96

The probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

What is probability?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

a.

i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503

ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324

iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208

iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441

v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677

b.

i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.

ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.

iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.

iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.

v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.

c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.

Hence, the probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

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Answer:

g-games

r-rides

1.5 g + 2.5r= 16.5

g=2r

Step-by-step explanation:

g: # of games played

r: # of rides ridden

total amount spent:  1.50g + 2.50r = 16.50

relationship of games to rides: g = 2r

Hope this helped! :D

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number of games is 3.

The number of rides is 8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of rides = m + 5

Number of games = m

Now,

Each game costs $1.50 and each ride costs $5. Isaac spent $44.50 altogether at the carnival.

This means,

1.50m + 5(m + 5) = 44.50

1.50m + 5m + 25 = 44.50

6.50m = 44.50 - 25

m = 19.5/6.50

m = 3

Now,

The number of games = 3.

The number of rides.

= m + 5

= 3 + 5

= 8

Thus,

The number of games is 3.

The number of rides is 8.

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Answer:

1.667

Step-by-step explanation. Step by Step SolutionRearrange:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :                      5/w-(3)=0 Step by step solution :STEP 1: 5

Simplify —

w

Equation at the end of step 1: 5

— - 3 = 0

w

STEP 2:Rewriting the whole as an Equivalent Fraction  2.1   Subtracting a whole from a fraction Rewrite the whole as a fraction using  w  as the denominator : 3 3 • w

3 = — = —————

1 w

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominatorAdding fractions that have a common denominator : 2.2       Adding up the two equivalent fractions Add the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: 5 - (3 • w) 5 - 3w

——————————— = ——————

w w

Equation at the end of step 2: 5 - 3w

—————— = 0

w

STEP 3:When a fraction equals zero : 3.1    When a fraction equals zero ...Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.Here's how: 5-3w

———— • w = 0 • w

w

Now, on the left hand side, the  w  cancels out the denominator, while, on the right hand side, zero times anything is still zero.The equation now takes the shape :   5-3w  = 0Solving a Single Variable Equation: 3.2      Solve  :    -3w+5 = 0  Subtract  5  from both sides of the equation :                       -3w = -5 Multiply both sides of the equation by (-1) :  3w = 5 Divide both sides of the equation by 3:                     w = 5/3 = 1.667 One solution was found : w = 5/3 = 1.667                  

Answer:

On a number line, the solution x = -10 would be located to the left of the origin (0) by a distance of 10 units. So, you would mark the point representing -10 on the number line to the left of 0.

Answer:

The value of sec A = - √29/5

Step-by-step explanation:

As the terminal side of angle 'A' passes through (-5,2).

so the angle is in the 2nd quadrant.

We can find the length of the hypotenuse using the Pythagorean Theorem

\(c^2\:\:=\:\left(-5\right)^2\:+\:2^2\)

\(c^2=5^2+2^2\)

\(c^2=25+4\)

\(c^2=29\)

\(c=\sqrt{29}\)

As we know that

cos A = adjacent/hypotenuse

sec A = 1/cosA

         = hypotenuse/adjacent

         = √29/-5

         = - √29/5

Therefore, the value of sec A = - √29/5

Answer:

$15

Step-by-step explanation:

12+3+15

Answer:

Bill Amount: $12

Tip Percent: 25%

Divide By: 1  

= $15

Answer:

The answer is B. \(\frac{6}{5}\).

Step-by-step explanation:

In order to solve for the length of the altitude of the smaller pyramid, start by writing the length of the altitudes and the length of the pyramids in a proportion. The proportion should look like \(\frac{3}{5}\) = \(\frac{x}{2}\) because each number has to correspond with its similar number.

Next, cross multiply both fractions to get an equation, which will look like   5x=(3)(2). Simplify the equation, and now it will look like 5x=6.

Then, divide both sides by 5, and the final answer will be \(\frac{6}{5}\).

Using DeMoivre’s theorem, the answer in regular form would be (5 + 5√3i)⁷ = -5000000 + 8660254.03i

The De Moivre's Theorem is used to simplify the computation of powers and roots of complex numbers and is used in together with polar form.

Convert the complex number to polar form. The polar form of a complex number is z = r(cos θ + isin θ),

r = |z|  magnitude of z

it becomes

r = √((5)² + (5√3)²) = 10

θ = arg(z) is the argument of z.

θ = atan2(b, a) = atan2(5√3, 5) = π/3

(5 + 5√3i) = 10 × (cos π/3 + i sin π/3)

De Moivre's theorem to raise the complex number to the 7th power

(5 + 5√3i)⁷

= 10⁷× (cos 7π/3 + i sin 7π/3)

= 10⁷ × (cos 2π/3 + i sin 2π/3)

Convert this back to rectangular form:

Real part = r cos θ = 10⁷× cos (2π/3) = -5000000

Imaginary part = r sin θ = 10⁷ × sin (2π/3) = 5000000√3 = 8660254.03i

∴  (5 + 5√3i)⁷ = -5000000 + 8660254.03i

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Answer:10^7 (1/2 - √3/2 i)

Step-by-step explanation:

To use DeMoivre's theorem, we first need to write the number in polar form. Let's find the magnitude and argument of the number:

Magnitude:

|5 + 5√(3i)| = √(5^2 + (5√3)^2) = √(25 + 75) = √100 = 10

Argument:

arg(5 + 5√(3i)) = tan^(-1)(√3) = π/3

So the number can be written in polar form as:

5 + 5√(3i) = 10(cos(π/3) + i sin(π/3))

Now we can use DeMoivre's theorem:

(5 + 5√(3i))^7 = 10^7 (cos(7π/3) + i sin(7π/3))

To simplify, we need to find the cosine and sine of 7π/3:

cos(7π/3) = cos(π/3) = 1/2

sin(7π/3) = -sin(π/3) = -√3/2

Explanation:

So the final answer in rectangular form is:

10^7 (1/2 - √3/2 i)

Answer: 4,5, and 6

Step-by-step explanation:

Answer:

r = 3

Step-by-step explanation:

distribute 3 through the parentheses

1/2r - 3= 12 - 9/2r

multiply both sides of the equation by 2

r - 6 = 24 - 9r

move the variable to the left-hand side and change its sign

r - 6 + 9r = 24

move the constant to the right-hand side and change its sign

r + 9r = 24 + 6

collect like terms

10r = 24 + 6

add the numbers

10r = 30

divide both sides of the equation by 10

r = 3

and you’re done

Answer:

igure it out based on the explanation

Step-by-step explanation:

do left to right first do the divishon on the left get and answer divide that by 8 then divide the answer by 2 then subtract it by 3!

Answers:

5)

a.Highest- 96

Lowest-52

b.74

c. 70-80

d. 13

e. 7

6)

a. 89%

b. 51%

c. In the morning(89%)

Answer:

Correct option: F.

Step-by-step explanation:

The slope of a line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.

For PR, use P=(-7,7) R=(-4,3). Now calculate the slope

\(\displaystyle m=\frac{3-7}{-4-(-7)}\)

For RT, use R=(-4,3) (2,-5). Calculate the second slope:

\(\displaystyle m=\frac{-5-3}{2-(-4)}\)

If both slopes are equal, then:

\(\displaystyle m=\frac{3-7}{-4-(-7)}=\frac{-5-3}{2-(-4)}\)

Correct option: F.

Answer:

2.)-7, -5, -1, 0

3.) -12, 0, 13, 14, 16, 17

5.) 5

Step-by-step explanation:

The value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

what is piecewise function?

A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a specific interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a way to express the function.

We have to evaluate the piecewise function for x = -1 and x = 9.

Let, function has value for x = -1 in the domain x ≤ 5 which is 11.

And function has value for x = 9  in the domain 6 < x which is 1.

⇒  f(-1) = 11 and f(9) = 1

Hence, the value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

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Answer:

monday wednesday tuesday thursday

Step-by-step explanation:

edge 2020

Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.

A fraction represents a part of a whole.

Monday = \(3\frac{1}{3}\)

Convert mixed fraction to improper 10/3

Decimal value 3.33

Tuesday = \(3\frac{2}{5}\)

The improper fraction is 17/5

Decimal value 3.4

Wednesday = \(3\frac{3}{8}\)

The improper fraction is 27/8

Decimal 3.375

Thursday = \(3\frac{1}{2}\)

The improper fraction is 7/2 which is 3.5

Hence, Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.

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Answer:

m=1

Step-by-step explanation:

6(4m-3)=6

24m-18=6

24m=6+18

24m=24

m=24/24

m=1

Hey there!

6(4m - 3) = 6

6(4m) + 6(-3) = 6

24m - 18 = 6

ADD 18 to BOTH SIDES

24m - 18 + 18 = 6 + 18

CANCEL out: -18 + 18 because that gives you 0

KEEP: 6 + 18 because it gives you the value of m

6 + 18 = 24

NEW EQUATION: 24m = 24

DIVIDE 24 to BOTH SIDES

24m/24 = 24/24

CANCEL out: 24/24 (on the LEFT SIDE) because it gives you 1

KEEP: 24/24 (on the RIGHT SIDE) because it gives you the m-value

m = 24/24 or 24/24 = m

SIMPLIFY ABOVE AND YOU HAVE YOUR ANSWER TO YOUR M-VALUE

m = 1

Therefore, your answer is: m = 1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Harper's age =15

Step-by-step explanation:

let Harper's age be x

and Miguel's age be x+4

x+x+4=34

2x+4=34

2x=30

x=15

therefore Harper's age is 15.