Kara compared the number of text messages 100 students sent in one day and the grade point average (GPA) of each student. The correlation coefficient among the
data is -0.9 rounded to the nearest tenth. Based on this information, which statement is MOST likely true?
OA. There is correlation but not causation between GPA and the number of text messages.
B. There is causation but not correlation between GPA and the number of text messages.
OC There is both correlation and causation between GPA and the number of text messages.
D. There is neither correlation nor causation between GPA and the number of text messages.

the proportionality constant is 20 and in 8 ours it will cover 160 miles.

What is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

The slope of he given graph will be (30-10)/(2-1) = 20

So here the proportionality constant is 20.

we can write y = 20x

This means in 8 ours it will cover 8*20 = 160 miles.

Hence, the proportionality constant is 20 and in 8 ours it will cover 160 miles.

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The happening in the graph is that the speed of the roller skater increases and decreases with time

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

The graph

On the graph, we have the following axes

x-axis = Time

y-axis = Speed

The x-axis is continually increasing while the y-axis decreases and increases (as in a sine function)

This means that the speed increases and decreases with time

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The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

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We can factor this polynomial with 4 terms without grouping.

Factor is a thing that influence decision or the situation.

How to factor polynomials with 4 term without groupingLet P(x) be a polynomial with four terms.

To factor P(x) without grouping, substitute

x = -1, 1, -2, 2, -3, 3.......

P(-1) = 0 ----> (x + 1) is a factor of P(x)

P(1) = 0 ----> (x - 1) is a factor of P(x)

P(-2) = 0 ----> (x + 2) is a factor of P(x)

P(2) = 0 ----> (x - 2) is a factor of P(x)

If P(-1) ≠ 0, then (x + 1) is not a factor of P(x).

Then, try x = 1, x = -2, x = 2 and so on.

Once one of the linear factors of P(x) is found, the other factors can bound easily (the rest of the process has been explained in the following examples).

Factor the following polynomials without grouping :

d as (x2 + ax + b).

Then,

(x + 1)((x2 + ax + b) = x3 - 2x2 - x + 2

Comparing the coefficients of x and constants,

b + a = -1 ----(1)

b = 2

Substitute b = 2 in (1).

2 + a = -1

a = -3

x2 + ax + b = x2 - 3x + 2

Factors of (x2 - 3x + 2) are (x - 1) and (x - 2).

Therefore,

x3 - 2x2 - x + 2 = (x + 1)(x - 1)(x - 2)

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Answer:

(1)

Step-by-step explanation:

This is because (x-7)²=(x-7)(x-7), which when expanded using the FOIL method, is equal to x²-7x-7x+49=x²-14x+49.

Answer:

9z^2 -7

Step-by-step explanation:

(z9z−5)−2.

(9z^2−5)−2.

9z^2-5 -2

9z^2-7

Write the problem as a mathematical expression.

Multiply

z9 by z  by adding the exponents.

Subtract

2 from  −5  .

ANSWER:

z^10 − 7

Answer: The expression which is not equivalent to (8 + (n - 4)) is (12+n) and this can be determined by using the arithmetic operations.

Given :

Expression - 8 + (n - 4)

To simplify the given expression following steps can be used:

Step 1 - Rewrite the given expression.

= (n - 4) + 8

Step 2 - Now, remove the parenthesis in the given expression.

= n - 4 + 8

Step 3 - Now, write 8 as the addition of 4 and 4.

= n - 4 + 4 + 4

Step 4 - Subtract 4 by 4.

= n + 4

Answer:

  20%

Step-by-step explanation:

You want to know the percentage change from 1120 to a final number that is 100 less, 130 more, and 254 less.

The percentage change is given by ...

  percent change = change/(original amount) × 100%

Here, the total amount of change is the sum of the given changes:

  -100 +130 -254 = -224

Then the percentage change is ...

  -224/1120 × 100% = -20%

The percent decrease is 20%.

<95141404393>

The percentage discount for the good bought by Nora is 17%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

In this situation, Nora has a loyalty card good for a discount at her local pharmacy. The item she wants to buy is priced at $28, before discount and tax. After the discount, and before tax, the price is $23.24.

The percentage discount will be:

= Discount / Original value × 100

= (28 - 23.24) / 28 × 100

= 4.76 / 28 × 100

= 17%

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a) The formula for the area of the triangle is given as follows:

Area = 0.5 x base x height.

b. The length of the base is given as follows: 6.3 units.

c. The length of the height is given as follows: 5 units.

d. The area of the triangle is given as follows: 15.75 units squared.

The area of a triangle is calculated as half the multiplication of the triangle's base by the triangle's height, as follows:

Area = 0.5 x base x height.

The vertices for the right triangle in this problem are given as follows:

(-4, -1), (2,1), (2,6).

Hence the base of the triangle is of:

[tex]B = \sqrt{(2 - (-4))^2 + (1 - (-1))^2} = 6.3[/tex]

The height is given as follows:

6 - 1 = 5.

Which means that the area of the triangle is of:

Area = 0.5 x 5 x 6.3 = 15.75.

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Initial velocity of the function = 109 ft/sec.

The given quadratic function is-

h(t) = -16t² + 109t

maximum height;

dh/dt = 0 and d²h/dt² < 0.

Then,

dh/dt = -32t + 109

dh/dt = 0

-32t + 109 = 0

t = 3.4 seconds.

Time when maximum height is reached by the ball is 3.4 second.

Maximum height;

h(t) = -16(3.4)² + 109(3.4)

h(t) = 185.6 ft

Thus, the maximum height obtained by the ball is 185.6 ft.

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The complete question is-

A ball is thrown vertically upward from the ground with an initial velocity of 109 ft/sec. Use the quadratic function

h(t) = -16t2 + 109t to find how long it will take for the ball to reach its maximum height, and then find the maximum height.

Answer:

A. -3 and C. 3

Step-by-step explanation:

The square root of 9 is ±3, which means that the square root can either be 3 or -3.

Answer:

The first expression to represent the new price of an item after the markdown would be:

new price = d * (1 - 0.70)

This expression uses the original price (d) and multiplies it by (1 - 0.70), which is equal to 0.30. This results in the new price being equal to 30% of the original price.

Another way to write this expression would be:

new price = d - (d * 0.70)

This expression also uses the original price (d) and subtracts from it the product of the original price and 0.70. This also results in the new price being equal to 30% of the original price.

Step-by-step explanation:

The expression representing the perimeter of the triangle is (5x+3)

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given that, The length of the bottom of the triangle is x. Another side is 1 more than three times the length of the bottom of the triangle. The last side is 2 more than the bottom of the triangle.

Let the bottom length of the triangle be x, then, according to question, other two sides will be, (3x+1) and (x+2)

Perimeter = sum of all the side

Perimeter = x+x+2+3x+1

= 5x+3

Hence, The expression for the perimeter of the triangle is (5x+3)

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The evaluation of 12P7 through permutation is 3991680.

This is a question of permutations . The capital letter P is a symbol for permutations. A permutation is a word that describes the number of ways things can be ordered or arranged. In other words , a permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

The formula for permutation is P(n,r)=n! (n−r)!

Hence , 12P7 = 12!/(12-7)!

⇒ 12!/5!

⇒ 12×11×10×9×8×7×6×5!/5!

Now , cancelling 5! from both denominator and numerator, we get
⇒ 12×11×10×9×8×7×6

⇒ 3991680

Therefore , the answer is 3991680.

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Using percentages we know that the next score Michelle is hoping to obtain is 1,350.

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100.

Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most usually used to denote it.

A% is a number that has neither dimensions nor a defined unit of measurement.

So, we know that:

Michelle received a score of 1080.

Her exam will be retaken in a few months.

She wants to increase her grades by 25%.

Scores Michelle is hoping for:

(1080/100 * 25) + 1080

270 + 1080

1,350

Therefore, using percentages we know that the next score Michelle is hoping to obtain is 1,350.

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He utilized about 39.9 KG of clay per pot, or 38% of the 315 KG of clay, using 119.7 KG for 3 pots.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. Percentage, a relative value indicating hundredth parts of any quantity, is a relative value that indicates how many questions on a test you correctly answered out of 100 (75/100). Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Here,

Weight of clay=315 KG

Weight of clay he used,

=38%*315

=119.7 KG

Number of pots=3

Clay used in each pot,

=119.7/3

=39.9 KG

He used around 39.9 KG of clay to make each pot using 119.7 KG of clay for  3 pots out of 38% of 315 KG of clay.

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The given statement that 'the batter's distance from the first base bag is a function of time.' is false.

If we need to call any quantity a function of any other quantity, we need to know what it means first. For this, we take the example of velocity. If we say that velocity is a function of time, what we mean is that the function is such that we input time and get velocity as the output. That quantity changes as the input increases or decreases.

We can deem distance as a function of time when it changes with respect to it. Here, it is evident that the distance between the batter and the first base is not going to change. Thus, it is not a function of time and the given statement is false.

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Answer:

17 feet

Step-by-step explanation:

We can use the Pythagorean therom, since the triangle has a 90 degree angle:

         8^2 + 15^2 = x^2

         64  +  225 = x^2

          x^2 = 289

           x = 17 feet

See the attached worksheet.

According to the question,

Given data in the question,

In July, the price of a gallon of gasoline rose=12%

In august, it fell 15% of its final July price,

Ending the month at 1.19 rupees

Let us consider,

x is the original price at the beginning of July,

then the price of gasoline rose is 112%

=100+2

=112%

=112/100

=1.12

In august it fells 15%=100-15%

=.85%

With the help of given data

the original price is---- x

(1.12) × (.85) x = 2.29

find the value of x

x = 2.29/0.952

x=2.41

x=2.41 was its price at the beginning of July.

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Answer:

  21.35 inches

Step-by-step explanation:

You want to know the circumference of a hat that has a diameter of 6.8 inches.

The circumference is given by ...

  C = πd

  C = 3.14 × 6.8 in = 21.352 in

  C ≈ 21.35 in

The distance around the hat is about 21.35 inches.

<95141404393>

On solving the provided question, we have the followings roots of the equations as -  x3 - 23x2 + 142x - 120 = (x - 1) (x - 10) (x - 12) and (x-1)(x-2)(x-3)=0

f(x) = ax3 + bx2 + cx + d, where a, b, c, and d are real integers and a 0. The cubic function is the cubic polynomial function. The higher cube function, or the fundamental cubic function, is defined as f(x) = x3.

x3 – 6x2 + 11x – 6 = 0.

(x-1)(x-2)(x-3)=0

x3 – 23x2 + 142x – 120.

first factorize

[tex]x3 - 23x2 + 142x - 120 = (x - 1) (x2 - 22x + 120)\\ But x2 - 22x + 120 = x2 - 12x - 10x + 120\\ = x (x - 12) -10(x - 12)\\ = (x - 12) (x - 10)\\ Therefore,\\ x3 - 23x2 + 142x - 120 = (x - 1) (x - 10) (x - 12)[/tex]

Equate each factor to zero to get;

x = 1

x = 10

x = 12

The roots of the equation are x = 1, 10 and 12.

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If Sebastian has x nickels and y pennies. He has at least 20 coins worth at most $0.65 combined then he has 27 nickels.

Two or more expressions with an Equal sign is called as Equation.

Given,

x represents nickels and y represents dimes.

x+y=20...(1)

0.05x+0.10y=0.65...(2)

From equation 1,

y=20-x

0.05x+0.10y=0.65

0.05x+0.10(20-x)=0.65

0.05x+2-0.10x=0.65

2-0.05x=0.65

Subtract 2 from both sides

-0.05x=0.65-2

-0.05x=-1.35

Divide both sides by -0.05

x=27

x+y=20

27+y=20

y=20-27

y=-7

Hence the number of nickels are 27 and dimes are minus seven.

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Answer: answer below

Step-by-step explanation:

4 (a). 900 grams of flour
work 150x6=900 grams

4 (b). 3 large eggs
work 450÷150=3
5 (a). 2.99

work 11.96÷4=2.99

5 (b). 26.91

work 2.99x9=26.91

6 (a). Can't help
6 (b). 6:12
6 (c). 16:8
6 (d). 10 paws

Can't help on problem 7

Answer: The correct answer is b

Step-by-step explanation:

25% off $30 is 22.50 and then when you add 7%ax it turns out to be 24.08

The surface area of the box as a function of x will be f(x) = x² + 20000/x² where x is the length of the square base's edge.

Here it is given that the box has a square base.

This implies that length = breadth

Now, the volume of a box = lbh = 5000 cu in

where l is the length of the box. b is the breadth of the box, and h is the height of the box.

or, x²h = 5000

or, h = 5000/x²

Let the surface area function be f(x) where x is the length of the edge of the square base.

Since the box is open, the surface area will be

lb + 2bh + 2lh

= x² + 10000/x² + 10000/x

= x² + 20000/x²

Hence the surface area as a function of x will be

f(x) = x² + 20000/x²

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Doing factorization, we know that the factors of the given equation are ±√5 and ±10i.

In mathematics, factorization or factoring consists of writing a number or any mathematical item as a product of several factors, typically small or easier objects of the same.

For example, 3 × 5 is a factorization of an integer 15 and is a factorization of an equation x² – 4.

So, we have the equation:

x⁴ + 95x² – 500 = 0

Factorizing the above equation:

x⁴ + 100x² - 5x² - 500 = 0

x²(x² + 100) - 5(x² + 100) = 0

(x² - 5)(x² + 100) = 0

Solving further:

x² = 5

x² = -100

x = ±√5

x = √-100

Factors: ±√5 and ±10i

Therefore, doing factorization, we know that the factors of the given equation are ±√5 and ±10i.

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Complete question:
What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.

x=+- sqrt 5 and x = ±10

x=+- sqrt i5 and x = ±10i

x=+- sqrt 5 and x = ±10i

x=+- sqrt i5 and x = ±10

Answer: 6 days and 18 hours

Step-by-step explanation: 9/4=1.25 1.25x3=6.75 and so on

Turn a percent into a decimal by moving the decimal point two to the left.

10 x 6% = 10 x .06

10 x .06 = .60

Sales tax: 60 cents

Total price: $10.60

A dictator

Step-by-step explanation: