Which describes the slope of the given line?

A. Zero
B. Unidentified
C. Negative
D. Positive

Answer:

6 red cars

Step-by-step explanation:

Multiply the number of cars by the percent that are red

50 * 12%

50 * .12

6

Answer:

6 red cars.

Step-by-step explanation:

So, we know that 12% of the new cars are red. There are 50 new cars.

The key word of tells us we need to multiply. So, to find out how many red cars are there, multiply 50 be 12%.

Remember that 12% is the same as 0.12. So:

\(R=0.12(50)=6\)

Therefore, out of the 50 new cars, there are 6 red cars.

Answer:

The equation of the line is y = 4x/7 - 1

Step-by-step explanation:

The equation of a straight line can be represented by

y = mx + c

where m represents the slope and c represents the y-intercept

So for;

4x - 7y = 9

7y = 4x - 9

y = 4x/7 - 9/7

The slope here is 4/7

Since the line we are trying to form is parallel, then the slope of the line is 4/7 also, since parallel lines have equal slope

So the equation of the new line will be;

y = 4x/7 + c

To get c, just put the point x = 7 and y = 3

3 = 4/7(7) + c

3 = 4 + c

c = 3-4

c = -1

So the equation of the line is;

y = 4x/7 - 1

Answer:

The graph on the top right

Step-by-step explanation:

The slope-intercept form is y = mx + b

m = the slope

b = y-intercept

The equation is y = 1/2x + 2

The y-intercept in this equation is 2, meaning the graph has a point (0,2) on it.  Looking at the options, the only graph that has a point (0,2) is the map on the top right, and that is the answer.

(a) On average, the annual precipitation in Tucson, Arizona exceeds 11 inches approximately 2.6 times per year.

(b) The probability of the annual precipitation exceeding 11 inches exactly twice in the next 4 years is approximately 0.109.

(c) The probability of experiencing at least one year with precipitation exceeding 11 inches in the next 4 years is approximately 0.337.

(d) If the annual precipitation increases to 15 inches, the probability of exceeding 11 inches exactly twice in the next 4 years will decrease.

(a) To determine how often the annual precipitation exceeds 11 inches on average, we can calculate the mean of the given data.

Adding up all the annual precipitation values and dividing by the number of years (30), we find the average annual precipitation to be approximately 11.18 inches per year.

Thus, on average, the annual precipitation exceeds 11 inches approximately 2.6 times per year.

(b) The probability of the annual precipitation exceeding 11 inches in a given year can be modeled using a Poisson distribution with a mean of 2.6 (calculated in part (a)).

To find the probability of exactly two occurrences of exceeding 11 inches in the next 4 years, we can use the Poisson probability mass function (PMF).

Using the formula, we find that the probability is approximately 0.109.

(c) To calculate the probability of experiencing at least one year with precipitation exceeding 11 inches in the next 4 years, we can use the complement rule.

The probability of no year exceeding 11 inches in the next 4 years is (1 - PMF of 0 occurrences). Substituting the mean of 2.6 into the PMF, we find the probability of no occurrences to be approximately 0.663.

Therefore, the probability of experiencing at least one occurrence is 1 - 0.663, which equals approximately 0.337.

(d) If the annual precipitation increases to 15 inches, the mean of the Poisson distribution changes.

Using the new mean, we can repeat the calculations from part (b) to find the probability of exactly two occurrences.

However, since the annual precipitation has increased, the probability is likely to decrease, as the higher average reduces the likelihood of exceeding 11 inches exactly twice in the next 4 years.

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Answer:

Rectangle

Step-by-step explanation:

It's a rectangle because opposite sides are parallel as you can see , it has 4 right angles , and it has 4 sides .. it's not a square because in a square all sides are equal

The probability that the card is either a jack or a heart is 17/52.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

A deck of cards contain 4 jacks, and 13 heart cards.

The probability the card is a jack = 4 / 52

The probability the card is a heart = 13/52

The probability that the card is either a jack or a heart is:

P = 4/52 + 13/52

P = 17/52

Hence, the probability that the card is either a jack or a heart is 17/52.

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Answer:

Step-by-step explanation:

no

The recursive formula that best describes the function is, A. a₁ = 1

aₙ = aₙ₋₁ + 5.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, f(n) = 5n - 4.

Now, At n = 1, f(1) = a₁ = 1.

At, n = 2, f(2) = a₂ = 6 or a₂ = a₁ + 5 or aₙ = aₙ₋₁ + 5

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Answer:

29 games

Step-by-step explanation:

Simply divide the amount spent by the number of games.

For January, it would be 56/4 = $4 each game

The same goes on for the following months, even March since the problem states that each game costs the same amount.

So $116/$4 = 29 games.

Vernon downloaded 29 games in March.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Month   Games Downloaded    Cost

  JAN                 14                      $56

  FEB                 23                      $92

  MAR                 __                     $116

  APR                 19                      $76

Now, In January the price for each game

=56 /15

=$4 each game

In February the price for each game

=92/23

=$4 per game

So, In March

= $116/ $4

= 29 games.

Hence, Vernon downloaded 29 games in March.

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The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3

From the case, we have:

Minimum point = (-3,0)

Maximum point = (-9,6)

The sinusoidal fuction would be in the form of:

y = A sin (Bx - C) + D

where:

A = amplitudo

B = 2π / Period

C = Phase shift

D = Midline

First, we need to find the amplitudo:

A = (Y max - Y min) / 2

A = (6 - 0) / 2

A = 3

Periode = (X max - X min) x 2

Periode = (-9 - (-3) x 2

Periode = -6

B = 2π / Periode

B = 2π / 6

B = 1/3 π

D = (Y max + Y min) / 2

D = (6 + 0) / 2

D = 3

We can use one point to find the value of C:

0 = 3 sin (π/3 (-3) - C) + 3

0 = 3 sin (π - C) + 3

-3 = 3 sin (π - C)

sin (π - C) = -1

(π - C) = 270

C = -1/2 π

C = - 90

Then the sinusiodal function would be:

y = 3 sin (πx + 90) + 3

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The value of d is 4 by law of exponents.

What are exponents?

The mathematical procedure known as exponentiation uses the base b and the exponent, or power, n. Its translation is "b to the n" and its symbol is Bn. The how many times a number has been amplified by itself is known as an exponent. When written as 23, the phrase "2 to the third" actually means "2 x 2 x 2 = 8," not 23, and "2 x 3 = 6," respectively.

Keep in mind that a number multiplied by one equals the original number.

Exponents are a way to express very big numbers as powers of smaller numbers. The exponent, so to speak, is the amount of times an integer has been multiplied by itself.

Applying the laws of exponents,

Given that, -3 = -19 +d/5

-3 = -19 +d5

-3 + 19=d5

d = 4

The value of d is 4 by law of exponents.

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Answer:

A is the correct answer.

Hope this helps \(\mathtt{: )}\)

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer:

(a)∠1 and ∠6.

(b)∠5 and ∠6.

(c)∠3 and ∠4.

Explanation:

(a)Vertical Angles are angles that form an X-Shape.

A pair of vertical angles is ∠1 and ∠6.

(b)Linear pairs are two angles on a straight line that adds up to 180 degrees.

A linear pair is ∠5 and ∠6.

(c)A pair of supplementary angles are two angles that add up to 180 degrees.

An example is ∠3 and ∠4.

Answer:

41.943

hope this helps you might need to round it to 42 but that's up to your teacher.

Answer:

41.943

Step-by-step explanation:

Multiply 41 by 0.023 (equivalent to 23%) to get 0.943 and add that to 41. Your answer should be 41.934

Answer: C

Look at the graph the lines meet at this point, this is the logical answer

5,3

Step-by-step explanation:

Answer:

Its 10:4 so its 5:2 when dividing

5:2 is the answer

The ratio of orange fish to green fish in the fish tank is given by 5 : 2

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the value of A is

Let the total number of fishes in the fish tank be = 14 fishes

The number of orange fishes = 10 fishes

The number of green fishes = 5 fishes

Now , the ratio of orange fish to green fish in the fish tank is = number of orange fishes / number of green fishes

On simplifying , we get

The ratio of orange fish to green fish in the fish tank is = 10 / 4

The ratio of orange fish to green fish in the fish tank is = 5/2

Hence , the proportion is 5 : 2

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Step-by-step explanation:

If you want to make the improper fraction into a mixed fraction/decimal;

35/4 = 32/4 + 3/4 = 8 3/4 = 8.75.

The number equivalent to the improper fraction 35/4 is 8 3/4.

We have,

To convert the improper fraction 35/4 into a mixed number, divide the numerator (35) by the denominator (4):

35 ÷ 4 = 8 remainder 3

The quotient, 8, represents the whole number part, and the remainder, 3, represents the numerator of the fractional part.

So, the equivalent mixed number is:

8(3/4)

Therefore,

The number equivalent to the improper fraction 35/4 is 8 3/4.

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In summary, the slope of the line is -6, and the y-intercept is (0, -2).

To find the slope and y-intercept of the line y = -6x - 2, we can compare it to the slope-intercept form of a linear equation, which is y = mx + b. In this form, "m" represents the slope, and "b" represents the y-intercept.
For the given equation y = -6x - 2:
1. Identify the slope (m): The coefficient of the x term, which is -6, represents the slope. Therefore, the slope (m) is -6.
2. Identify the y-intercept (b): The constant term, which is -2, represents the y-intercept. To express the y-intercept as a coordinate (0, b), substitute 0 for the x value. So the y-intercept coordinate is (0, -2).
In summary, the slope of the line is -6, and the y-intercept is (0, -2).

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Answer:

4 1/6 miles of walking and eating per hour

Step-by-step explanation:

The unit rate here is

 50 miles

----------------- = 4 1/6 miles of walking and eating per hour

    12 hrs

Answer:

Area of a parallelogram is base times height. Note that CD = AB & AD = BC

to find the height, draw a line from angle B perpendicular to the base b. Lets call the point of intersection at the base E. This constitutes a right triangle with AB as the hypotenuse. Using the law of sine to calculate the height h:

h/sin(A) = AB/sin(90°) ( sin(90°) = 1)

h = AB * sin(45°)

h = 10 * sin(45°)

Area = 14 * 10 * sin(45°) = 140 * sin(45°) ≈ 98.99 QEDexplanation:

Answer:

7

Step-by-step explanation:

Substitute

3.5(12−4)/4,

solve with Pemdas

P: 12-4

E: none

M 3.5 (8)

D 28/4

A none

S none

The required value of the expression 3.5(x−y)/4, on simplification, when x = 12 and y = 4 is 7.

To simplify 3.5(x−y)/4, when x = 12 and y = 4?

The process in mathematics to operate and interpret the function to make function simple or more understandable called simplify and the process is called simplification.

The equation is the relationship between variable and represented as y = ax + b is example of a polynomial equation.

Simplifiaction of 3.5(x−y)/4,
when x = 12 and y = 4

= 3.5(x−y)/4
when x = 12 and y = 4
= 3.5 ( 12 - 4 )/4
= 3.5 * 8 / 4
= 7

Thus, the required value of the expression 3.5(x−y)/4, on simplification, when x = 12 and y = 4 is 7.

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Answer:

always

never

always

always (not 100% sure)

sometimes

sometimes (not 100% sure)

Step-by-step explanation:

this is what I got, hope it helps

The number of intersections of the graphs of the given equations is 0.

To determine the number of intersections of the graphs of the equations:

1. One-halfx + 5y = 6

2. 3x - 30y = 36

We can convert the equations to slope-intercept form (y = mx + b) by isolating y:

1. \(\frac12\\\)x + 5y = 6

  5y = -\(\frac12\\\)x + 6

  y = (-1/10)x + 6/5

2. 3x - 30y = 36

  -30y = -3x + 36

  y = (1/10)x - 36/30

  y = (1/10)x - 6/5

Now, we can observe that both equations have the same slope, which is 1/10, but they have different y-intercepts (6/5 and -6/5).

Since the slopes are the same but the y-intercepts are different, the two lines are parallel.

Parallel lines do not intersect,

so the graphs of these equations have no intersection points.

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Answer:

A or none

Step-by-step explanation:

edge

Answer:

If you are asking to factorise..

Step-by-step explanation:

=> 5x² + 28x + 15

=> 5x² + (25+3)x + 15

=> 5x² + 25x + 3x + 15

=> 5x(x + 5) + 3(x + 5)

=> (x + 5)(5x + 3)

Answer:

5x² +28x+15

5x² +25x+3x+15

5x(x+5)+3(x+5)

(x+5)(5x+3)

Answer:

0.011, 0.5, 0.625, 1.0625, 1.25

Step-by-step explanation