write a slope-intercept equation for a line passing through the point (2,8) that is parallel to y=7/5x+7. Then weite a second equation for a line passing through the given point that is perpendicular to the given line.

Answer:

x = 5 and y = 1.5

Step-by-step explanation:

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Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

Given, the function is f(x) = x² + 2x + 3

We have to find the graph of the function.

Let y = x² + 2x + 3

Put x = -3

y = (-3)² + 2(-3) + 3

= 9 - 6 + 3

= 9 - 3

y = 6

Put x = -2

y = (-2)² + 2(-2) + 3

= 4 - 4 + 3

y = 3

Put x = -1

y = (-1)² + 2(-1) + 3

= 1 - 2 + 3

= 4 - 2

y = 2

Put x = 0

y = (0)² + 2(0) + 3

= 0 + 0 + 3

y = 3

Put x = 1

y = (1)² + 2(1) + 3

= 1 + 2 + 3

= 3 + 3

y = 6

We can plot the graph using the points.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

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Math makes everything easier without math people would be sitting there all day wondering about simple things like money and how many eggs are in a carton

Answer:

225%

Step-by-step explanation:

1. Divide the new weight by the original weight.

90/40 = 2.25.

2. Multiply by 100 to get the percentage.

2.25 x 100 = 225%

The percentage increase of the child from 1990 to 2005 is 125%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The weight of a child in 1990 was 40 lb. By 2005, the child's weight

had increased to 90 lb.

So, The amount of weight increase is (90 - 40)lb = 50lb.

∴ The percentage increase is,

= (50/40)×100%.

= 125%.

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Answer: (9y^4*x^6)^2

Step-by-step explanation: First you take the square root of 81, which is 9. Next, you divide 8 and 12 by 2. Lastly, you multiply everything together, and you get a final answer of (9y^4*x^6)^2. Do you do RSM?

Answer:

-1.833 ; we do not reject the Null.

Pvalue = 0.0409 ; We do not reject the Null

There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13

Step-by-step explanation:

H0 : μ = 13

HA : μ < 13

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(12.8 - 13) ÷ 0.5/sqrt(21)

-0.2 / 0.1091089

= - 1.833

The critical value at α = 0.01 ; df = 21 - 1 = 20 = 2.528

-1.833 > - 2. 528 (left tailed test) ; Hence we do not reject the Null.

Test statistic :

Pvalue from Test statistic at DF = 20 ; α = 0.01

Pvalue = 0.0409

Pvalue > α

0.0409 > 0.01 ; Hence, we do not reject H0.

There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13

Answer:

The answer is B

Step-by-step explanation:

This is a right triangle and a triangles angles can only add up to 108 degrees. In addition the angle is very small as it looks showing it must be one of the smallest answers aka, B.

The amount of pizza that they eat altogether will be 7/6 pizza out of 2 pizzas.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas. This approach is used to answer the problem correctly and completely.

Jada and Han request two indistinguishable pizzas. Jada ate 1/2 of hers and Han ate 2/3 of his.

The amount of pizza that they eat altogether will be given as,

⇒ 2/3 + 1/2

Add the fraction, then we have

⇒ 2/3 + 1/2

⇒ (4 + 3) / 6

⇒ 7 / 6

The amount of pizza that they eat by and large will be 7/6 pizza out of 2 pizzas.

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Work Shown:

g(x) = x^2 - 4

g(f(x)) = ( f(x) )^2 - 4

g(f(x)) = ( 2x-1 )^2 - 4

g(f(x)) = (2x-1)(2x-1) - 4

g(f(x)) = 4x^2-2x-2x+1 - 4

g(f(x)) = 4x^2 - 4x - 3

Answer:

16/12

Step-by-step explanation:

SOHCAHTOA

TOA - tan theta = Opposite/ Adjacent

Tan theta = 16/12

= 16/12

if you were told to find theta, then

tan inverse ( 16/12)

theta will be 53.13 degrees

The tangent of the given right angle triangle is \(\frac{16}{12}\).

A right angle triangle is a triangle in which one of the three angles is a right angle.

"In any right angle triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'."

Given, Base of the right angle triangle is = 12.

The height of the right angle triangle is = 16.

The hypotenuse of the right angle triangle is = 20.

The angle between the base of the triangle and the hypotenuse is = θ.

Now,  tan θ

\(= \frac{Height}{Base}\\= \frac{16}{12}\)

Therefore, tan θ of the given right angle triangle is  \(\frac{16}{12}\).

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Answer:

3.5

Step-by-step explanation:

First 6 Natural numbers ( f ) = 1,2,3,4,5,6

N= 6

We know that

Mean = Ef/N

= 1 +2+3+4+5+6/6

= 21/6

= 3.5

Answer:

3/4

Step-by-step explanation:

divide each by 2

28/2 = 14

12/2 = 6

14/2 = 7

6/2 = 3

therefore 3/7

Answer:

I believe that the answer is C

Therefore, nine rabbits will need 7.5 sacks of food for one week.

The unitary method is a mathematical technique that involves finding the value of a single unit to determine the value of a given number of units. It is a method of solving mathematical problems that involve proportional relationships between quantities. The unitary method is commonly used in various areas of mathematics, such as algebra, arithmetic, and geometry. It is also used in everyday life to solve problems related to money, time, distance, and other quantities.

Here,

To solve this problem, we can use proportionality. We know that the number of sacks of food needed is directly proportional to the number of rabbits.

Let x be the number of sacks needed for 9 rabbits. Then, we can set up the following proportion:

6/10 = 9/x

Cross-multiplying, we get:

6x = 90

Dividing both sides by 6, we get:

x = 15/2 or 7.5

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Complete question:

If six rabbits need 10 sacks of food per week, how many sacks will nine rabbits need to eat for one week?

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Width = X

Length = X + 15

Perimeter of a Rectangle = 2W + 2L

2(X) + 2(X + 15)

2X + 2X + 30

4X + 30

Answer = 4X + 30

Hope this helps! :)

Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

Area of the given figure is 27.852 in².

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

In the given figure there is a square.

First let us find the area of square, which has length of side 3 in

Area of square=3²=9

Now there are two semicircles with diameter 3 in.

Radius of semicircle = 3/2=1.5 in

Area of semicircle=2πr

=2×3.142×1.5

=9.426

As there are two semicircles

2×9.426

18.852

Area of figure is 9+18.852

27.852 in²

Hence, area of the given figure is 27.852 in².

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Answer:

the year is 2016

Step-by-step explanation:

The computation is shown below:

Given that

The population in 2009 is 45.1 million

And it would be increased 2.3% each year

So,

In the year 2010 it is = 45.1 million × (1 + 0.023) = $46.14 million

In the year 2011, it is = $46.14 million × (1 + 0.023) =$47.20 million

In the year 2012, it is = $47.20 million × (1 + 0.023) = $48.29 million

In the year 2013, it is = $48.29 million × (1 + 0.023) = $49.40 million

In the year 2014, it is = $49.40 million × (1 + 0.023) = $50.54 million

In the year 2015, it is = $50.54 million × (1 + 0.023) = $51.70 million

In the year 2016, it is = $51.70 million × (1 + 0.023) = $52.89 million

Hence, the year is 2016

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32

Divide 192 by 6, to find the amount of baseball cards Nick has.

192 ÷ 6 = 32

32 · 6 = 192

192 ÷ 6 = 32

Nick has 32 baseball cards, which is 6 times less than Juan's amount.

The required sample size of the given value is 577.

What is margin of error?

The formula to calculate the sample size  :-

n = (p(1-p)((Zα/₂)/E)²

Given :  Estimated proportion  p = 0.60

Margin of error : E = 0.04

Significance level : α = 1-0.95 = 0.05

Critical value : Zα/₂ = 1.96

Now, the required sample size will be :-

n = (0.60)(0.11)(1.96/0.04)²

= 6.6 * (0.0784)²

= 0.57744

Hence, the required minimum sample size of the given is 577.

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Answer:

Step-by-step explanation:

3 * 4 = 12 - 6

12 = 6

This statement is false

Answer:

False.

Explanation:

3 * 4 = 12 -6

12 = 6

...............

False, the sides are not equal.

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

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Answer:

Let do this..

Step-by-step explanation:

ABCD is a parallelogram - 1

In ∆ADC and ∆CBA

AC=AC (Common)

<DAC=<BCA (Given)

AD=CB (From 1)

Therefore, ∆ADC = ∆CBA (By SAS)

The likelihood that one or more of the dice will land on an even number is 1296.

The likelihood of an event is quantified by its probability, which is a number. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The likelihood of an event increasing with probability of occurrence.

Four 6-sided dice are rolled what is the probability that at least two dice show least 2 die the same.

For 2 of the same: 5×5×642) =900

For 3 of the same: 5×643) =120

For 4 of the same: 644) =6

Combined: 900+120+6=1026

Total possibilities: 64=1296

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The probability that at least one of the dice lands on an even number is 15/16 or approximately 0.938.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

We can solve this problem by finding the probability that all four dice land on odd numbers and then subtracting this probability from 1 to get the probability that at least one of the dice lands on an even number.

The probability that one dice lands on an odd number is 3/6 = 1/2, and the probability that all four dice land on odd numbers is:

(1/2) × (1/2) × (1/2) × (1/2) = 1/16

Therefore, the probability that at least one of the dice lands on an even number is:

1 - 1/16 = 15/16

So the probability that at least one of the dice lands on an even number is 15/16 or approximately 0.938.

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