What is the slope of the line that passes through the points (-4,-7) and
(-2,-19)? Write your answer in simplest form.

The perimeter of the square garden is 36 feet, which means that each side of the square is 36/4 = 9 feet long. Therefore, the total cost of the fences is $92.

The length of the outer fence, which is 2 feet away from the garden, is equal to the perimeter of a larger square with sides that are 2 feet longer than the sides of the original garden.

So, the length of the outer fence is 4(9+2) = 44 feet.

The length of the inner fence, which is around the perimeter of the garden, is equal to the perimeter of the original square garden, which is 4(9) = 36 feet.

The total length of both fences is the sum of the lengths of the inner and outer fences:

36 + 44 = 80 feet.

The cost of the fences is the total length of both fences multiplied by the cost per foot:

80 x $1.15 = $92.

Therefore, the total cost of the fences is $92.

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Answer: 170

Step-by-step explanation:

170/10=17

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let's solve for z :

Answer:

z = 2

Step-by-step explanation:

6(2 - 3) = 2(3z - 9)

12 - 18 = 6z - 18

12 = 6z

2 = z

Hopefully this helped!

Brainliest please?

Answer:

35 cm²

Step-by-step explanation:

This is because the formula of the area of a parallelogram is;

area = (base) x (height)

since the base is 5, and the height is 7;

area = (5) x (7)

area = 35

Hope this helps!

Answer:

Step-by-step explanation:

The formula of area of the parallelogram is used to find the area of the parallelogram.

Area of the parallelogram formula:

\(\Longrightarrow: \sf{A=B*H}\)

B stands for "base".

H stands for "height".

Multiply.

Solve.

5*7=35

= 35cm²

I hope this helps! Let me know if you have any questions.

Answer: 76kg

Step-by-step explanation:

If the mass of sugar in one jar is 19kg, then the mass of 4 such jars of sugar can be found by multiplying the mass of one jar by 4:

Therefore, the total mass of 4 jars of sugar is 76kg.

__________________________________________________________

The mass of sugar is 19 kg. What is the total mass of 4 such jar of a sugar?

The total mass of four jars of sugar is 76 kg.

The total mass of four jars of sugar can be found by multiplying the mass of one jar by 4:

\(\large\rm{Total\: mass = 19\: kg \times 4 = \boxed{\rm{\:76\: kg\:}}}\)

\(\therefore\) The total mass of four jars of sugar is 76 kg.

- Mass is a measure of the amount of matter an object contains. It is a fundamental property of an object and is typically measured in units such as kilograms or grams. Mass is different from weight, which is the force of gravity acting on an object's mass. Mass is an intrinsic property of an object and remains constant regardless of its location, while weight can vary depending on the gravitational field it is in. Essentially, mass determines an object's resistance to acceleration or change in motion.

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The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

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Step 1: Find a common denominator.

The denominators are 3y, 4, and 8. The least common multiple (LCM) of these is 24y.

Step 2: Adjust each term to have a denominator of 24y.

To do this, we multiply the numerator and denominator of each term by the appropriate factor:

For the term 8/3y, multiply numerator and denominator by 8: (8/3y) * (8/8) = 64/24y.

For the term 5y/4, multiply numerator and denominator by 6y: (5y/4) * (6y/6y) = 30y^2/24y.

For the term 5/8, multiply numerator and denominator by 3: (5/8) * (3/3) = 15/24y.

Step 3: Combine the terms.

Now that all terms have a common denominator of 24y, we can add them together:

(64/24y) + (30y^2/24y) - (15/24y)

Step 4: Combine the numerators.

Add the numerators of the fractions:

(64 + 30y^2 - 15) / 24y

Step 5: Simplify the numerator.

Combine like terms in the numerator:

(49 + 30y^2) / 24y

Thus, the simplified expression is (49 + 30y^2) / 24y, considering all permissible values of y.

Answer:

The 99% confidence interval is = 0.37 +/- 0.070

= (0.300, 0.440)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

p+/-z√(p(1-p)/n)

Given that;

Proportion p = 37% = 0.37

Number of samples n = 315

Confidence interval = 99%

z value(at 99% confidence) = 2.58

Substituting the values we have;

0.37 +/- 2.58√(0.37(1-0.37)/315)

0.37 +/- 2.58√(0.00074)

0.37 +/- 2.58(0.027202941017)

0.37 +/- 0.070183587825

0.37 +/- 0.070

= (0.300, 0.440)

The 99% confidence interval is = 0.37 +/- 0.070

= (0.300, 0.440)

Answer:

Step-by-step explanation:

Given the data:

income ____frequencies ___ relative frequency

200-300_____69 __________ 0.227

301-400_____ 73 __________0.240

401-500_____ 81 __________ 0.266

501-600_____65 __________ 0.214

>600_______ 16 __________ 0.053

Total frequency :

(69 + 73 + 81 + 65 + 16) = 304

Answer:

Solution given:

5(9x-8)=4(x+2)

45x-40=4x+8

45x-4x=40+8

41x=48

x=\( \frac{48}{41} \)

Gabriella is not correct:

she has done in distribution

5(9x-8)=4(x+2)

45x-40=4x+8 not 45x-8=4x+2.

No, Gabriela is not solving correctly because her second step is wrong.

In a fraction the upper part is known as numerator and the lower part is known as denominator.

The problem is as under

(9x-8)/4=(x+2)/5

The above problem is solved as

5(9x-8)=4(x+2)

45x-40=4x+2

41x=42

x=42/41

Hence the value of x is 42/41 therefore the solution of Gabriella is wrong.

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Answer:

£25

Step-by-step explanation:

total distance travelled per week = 2 * 7.5 * 5 = 75

amount of fuel used = 75/30 = 2.5 gallons = 11.375 litre

cost of fuel = 11.375 * 1.14 = 12.9675

total cost = 5(2.5) + 12.9675 = 25.4675 ~~ 25

None table satisfies the equation but by majority second one satisfies.

x  y

-5 -5

4  13

-3 -1

-2  1

-1  3

Answer:

solution given:

given equation is:

y=2x+5

let's check for the 1st one

keeping x =-3,we get

y=2*-3+5=-1 it doesn't satisfy.

let's check for the second one.

keeping x=-5, we get

y=2*-5+5=-5 it satisfies.

again

keeping x=4,we get

y=2*4+5=13  it doesn't satisfy.

again,

x=-3,we get y=2*-3+5=-1  it satisfies.

again,

x=-2,we get y=2*-2+5=1  it satisfies.

again

x=-1, we get y=2*-1+5=3  it satisfies.

let's check third one.

keeping x=0,we get

y=2*0+5=5  it doesn't satisfy.

let's check for 4th one.

keeping x=-8

we get,

y=-8*2+5=-11  it doesn't satisfy.

Answer:

the square root of 20 is 4.472135955

Step-by-step explanation:

Answer:

Roots are basically the x-intercepts (of a parabola)

Step-by-step explanation:

When you are doing quadratic equations, whenever the line touches the x-intercept, it is called a root.

After we apply the markup, the price of the videogame is  $69.66

If the cost for the store is C and a markup of X (in percentage) the new price of the item is given by the formula:

P = C*(1 + X/100%)

In this case we have a videogame and the cost for the store is $64.50, and there is 8% of markup, then the new price of the videogame is:

P' = $64.50*(1 + 8%/100%)

P' = $64.50*(1 + 0.08)

P' = $64.50*(1.08) = $69.66

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When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.

To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.

An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.

The given expression is:

jkh + hj - jk

Substituting the given values of h, j, and k, we get:

jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))

Now simplify the expression

jkh + hj - jk = (-20) + 20 + 5

jkh + hj - jk = 5

Therefore, the value of  jkh + hj - jk equals 5.

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Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

30% of 40 is 12, 40-12=28, the answer is 28.

25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes

what is percent  ?

A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".

In the given question,

Let's assume that there are 100 people in Math town.

60% of them are males, so there are 60 males and 40 females.

Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.

28% of the entire population have brown eyes, so there are 28 people with brown eyes.

To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:

28 - 18 = 10

So, there are 10 females with brown eyes.

Out of the 40 females in Math town, what percentage have brown eyes?

10 brown-eyed females out of 40 females is:

10/40 = 0.25 or 25%

Therefore, 25% of the females in Math town have brown eyes.

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The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

Step-by-step explanation:

This is a function as each input value has exactly one output according to definition of functions.

Answer:

group like terms.

z=39+27

z =66

The value of the inverse function f-¹ (3) is (e) 11

From the question, we have the following parameters that can be used in our computation:

f(x) = x - 8

To calculate the inverse value at f-¹ (3)

We set the value to 3

using the above as a guide, we have the following:

x - 8 = 3

Evaluate the like terms

x = 11

Hence, the value of the inverse function is (e) 11

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Complete question

if f(x) = x - 8, what is the value of f-¹ (3)?

Answer:

The sides are 3 and 7 cm long.

Step-by-step explanation:

Let the lengths be x and x+4 cm, then

(x + 4)^3 - x^3 = 316

x^3  + 12x^2 + 48x + 64 - x^3 = 316

12x^2 + 48x + 64 - 316 = 0

12x^2 + 48x - 252 = 0

12(x^2 + 4x - 21) = 0

12(x + 7)(x - 3) = 0

x = -7, 3

So one cube has side of length  3 cm.

The other has side 3+4 = 7 cm.

Answer: b

Step-by-step explanation:

By the alternate interior angles theorem, the angle of elevation and the angle of depression have the same measure.

The measure of angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

It is given that:

The right-angle triangle is shown in the picture.

The right-angle triangle is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

As the two lines are parallel to each other and a transversal is intersect the parallel lines so the angle would be same as 32 degrees

The angle A = 32 degrees

Thus, the measure of the angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.

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Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

Answer:do homework

Step-by-step explanation:

Answer:

f

(

x

)

=

2

x

−

2

−

5

f

x

=

2

x

+

2

+

5

f

x

=

2

x

−

10

−

f

x

=

2

x

+

11

Step-by-step explanation:

Answer: B. f(x) = (x + 1)2 + 5 

The value of x in the given figure is 8.

In the given figure there are two lines which are parallel.

We have to find the value of x.

In the straight line the sum of angles is 180 degrees.

8x+1+115=180

8x+116=180

Subtract 116 from both sides:

8x=180-116

8x=64

Divide both sides by 8:

x=64/8

x=8

Hence, the value of x in the given figure is 8.

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