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What is the slope of a line that is perpendicular to the line y = 18x + 5?
A. -8
B. -1/8
C. 1/8
D. 8

Answer: 7/12 =x

Step-by-step explanation:

Answer: 100

Step-by-step explanation:

525/84 x 100= 625 total students

625 - 525 = 100

The number of tiles measuring 20cm by 50cm  that are needed to completely cover a wall 4m by 8m is :320.

First step is to convert the Meters to Centimeters

4m = 400cm

8m = 800 cm

Hence,

4m by 8m = 400 cm × 800 cm

4m by 8m = 320,000 cm²

Second step is to determine the how many tiles are needed

Number of needed tiles =  320,000 cm² / ( 20 cm × 50 cm)

Number of needed tiles =  320,000 cm² /1,000 cm²

Number of needed tiles =  320

Therefore 320 tiles are needed.

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The output value of f( -4 ) in the function f(x) = -x² - 4x + 42 is 42

A function is simply a relationship that maps one input to one output. Every x-value can only have one y-value to qualify as a function.

Given the data in the question;

To find the output value of f( -4 ), replace all the occurrence of x with -4 in the function and simplify.

f( x ) = -x² - 4x + 42

f( -4 ) = -(-4)² - 4(-4) + 42

f( -4 ) = -( 16 ) + 16 + 42

f( -4 ) = -16 + 16 + 42

f( -4 ) =  42

Therefore, the output value of f( -4 ) is 42, this forms an ordered pair of (-4, 42).

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Answer:

105

Step-by-step explanation:

5 minutes=75 pages

1 minute=15 pages

7 minutes=15*7

7 minutes=105pages

Answer: 105

Step-by-step explanation:

75pg —-> 5mins

X ——> 7 mins

•

•

x= (75 x 7)/5 = 105pages

The approximate side length of a square game board with an area of 160in² is equal to 12.6 inches.

As given in the question,

Area of the square game board is equal to 160in².

Let 'x' inches be the side length of the square game board.

Area of the square game board = (side length)²

⇒ 160 = ( x )²

Take square root both the sides we get,

    x = √160

⇒ x = 12.649 inches

⇒ x = 12.6 inches( approximately)

Therefore, the approximate side length of a square game board with an area of 160in² is equal to 12.6 inches.

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22.44% probability that the marbles are red, 77.55% probability that they are blue

Answer: -0.875

Step-by-step explanation:

Answer: -1 1/8

Step-by-step explanation:

6 - 4 3/4 = 1 1/4

1 1/4 - 2 1/8 = -1 1/8

Answer:

The pattern the sequence follows is a perfect square, minus 2

Step-by-step explanation:

esentially use ( n^2 - 2 ) to find the nth number in the sequence.

the 5th number ( n = 5 ), would look like ( 5^2 - 2 ), simplfiying to ( 25 - 2 ), then being 23.

The same applies to all numbers listed in the sequence.

Answer:

180 Degrees for both

they are symmetrical therefore 180 degrees

In terms of x and y, Julia's withdrawal from her savings account was equal to y/4 + x/12.

An expression obtained by performing a finite number of algebraic fundamental operations on symbols representing numbers.

Both Ang and Julia have savings balances of x and y dollars, respectively.

Ang = x dollars

Julia = y dollars

Ang offers Julia a third of his savings, which she then transfers to her own savings account.

Amount in Julia's account = (1/3)x + y

Julia then spends a quarter of the total into her savings account.

Amount of money Julia spent = 1/4 × [(1/3)x + y]

                                                 = (1/12)x + (1/4)y

                                                 = y/4 + x/12

Therefore, in terms of x and y, the amount Julia spent from her savings account is y/4 + x/12.

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Answer:8

Step-by-step explanation:if it is 4/5 per hour then you mulitply 4/5 x 10

and 4/5=.8

     .8 x 10=8

We can conclude that 30 inches of wood is needed to make 120 pins by solving some mathematical operations.

So, the wood we need to make 120 pins:

Therefore, we can conclude that 30 inches of wood is needed to make 120 pins by solving some mathematical operations.

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I WILL USE CROSS MULTIPLICATION

[tex]t(1.3) = 6.5(1.2) \\ 1.3t = 7.8 \\ \frac{1.3t}{1.3} = \frac{7.8}{1.3} \\ t = 6 [/tex]

ATTACHED IS THE SOLUTION

the total price paid for a pair of shoes after tax is included is $37.1.

A sales tax is a tax paid to the government for sales of certain types of goods and services.

According to the question,

Cost of the shoes =  $35.             (given)

Total amount/price paid = cost + tax

As the tax percentage is not given in the question, we will assume it to be 6% for example. Then,

Tax amount = 6% of $35

= 6/100*35

= $2.1

Now, total price = cost + tax

= $35+$2.1

= $37.1

Therefore, we conclude that the total price paid for a pair of shoes after tax is included is $37.1.

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All the values that we can put in the given box so that A is a polynomial,

[tex]A=(2x^{2} +5-7)\\A =2(x^{2} -1)\\A=2(x+1) (x-1)[/tex]

[tex]x[/tex] can take any value except ±1.

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Answer:

The car will use 9 3/8 or 9.375(simple form) gallons of gasoline on the highway

Step-by-step explanation:

if a car uses 3 1/8 gollon per one hour

Multiply the gallon usage of the car by the hours the car will travel on the road

3 1/8(gallons) x 3(hours on the road)

9 3/8 or if you change it to simple form it will be equal to 9.375

Answer:

53 sets

Step-by-step explanation:

730 - 204 = 526

526 / 10 = 52 r 6

therefore he'd have to buy 53 sets to have enough knives.

There are 53 number of sets of knives Jordan could buy for the restaurant to have enough knives.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The restaurant needs at least 730 knives.

There are currently 204 knives.

And, each set on sale contains 10 knives.

Now,

By the given condition, we formulate;

⇒ 730 ≤ 204 + 10x

Solve for x as;

⇒ 730 ≤ 204 + 10x

⇒ 730 - 204 ≤ 204 + 10x - 204

⇒ 529 ≤  10x

Divide by 10 as;

⇒ 52.9 ≤ x

After rounding, we get;

⇒ 53 ≤ x

Thus, There are 53 number of sets of knives Jordan could buy for the restaurant to have enough knives.

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Answer:

Is this correct??

if yes then reply

Answer/Step-by-step explanation:

I don't know whether to distribute -6 or multiply 4x - 6 by 3x + 4. So I'll do both.

1. Multiply

(4x - 6)(3x + 4)

4x (3x + 4) - 6 (3x + 4)

12x² + 16x - 18x - 24

12x² - 2x - 24

2. Distribution

4x - 6(3x + 4)

4x - 18x - 24

-14x - 24

I hope either of my answers helps!

The value of a is 9 and b is 4.5

The measurement of angles and issues relating to angles are covered in the fundamentals of trigonometry. Trigonometry has three fundamental operations: sine, cosine, and tangent. The cotangent, secant, and cosecant are three crucial trigonometric functions that can be derived from these three fundamental ratios or functions. These functions serve as the foundation for all the key ideas in trigonometry.

[tex]sin(60)=\frac{opposite}{hypotenuse} \\\frac{\sqrt{3} }{2}=\frac{\frac{9\sqrt{3} }{2} }{a}\\ a =9\\ tan(60)=\frac{opposite}{adjacent}\\ \sqrt{3}=\frac{\frac{9\sqrt{3} }{2} }{b} \\b=4.5[/tex]

The value of a is 9 and b is 4.5

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Answer: 7 games

Explanation:

1. take the information and put it into a equation (being y=3.25x+3 or f(x)=3.25+3)

2. replace the x with a whole number because you can't bowl half a game.

Ex: f(3)=12.75 or f(6)=22.50

3. The highest you can go without going over your money is 7 games ($25.75) leaving you with a total of 2.25.

Hope this helps :)

Answer: B) 90º counterclockwise

Step-by-step explanation:

           First, let us look at clockwise vs counterclockwise. Clockwise is in the direction of a clock, spinning around to the right. Counterclockwise is the opposite, spinning to the left.

     A) 90º clockwise

➜ This is 90 degrees to the right.

     B) 90º counterclockwise

➜ This is 90 degrees to the left

     C) 180º

➜ This is directly flipped.

     D) 270º clockwise

➜ This is 270 degrees to the right.

     E) 270º counterclockwise

➜ This is 270 degrees to the left.

           We will look at the answer options and decide which makes the most sense. This looks to be option B, 90º counterclockwise as shown in the image attached.

The quadratic equation will be; 3x² + 6x + 9

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given that roots are x = -3 and x = - 1, and whose leading coefficient is 3.

The factors are; (x + 3) and (x + 1)

f(x) = a(x + 3)(x + 1)

As, a = 3.

Then we get;

f(x) = 3(x + 3)(x + 1)

= 3(x² + 2x + 3)

= 3x² + 6x + 9

The quadratic equation will be; 3x² + 6x + 9

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Variable x as the subject of the equation given is expressed as: x = p(m - n).

To make a variable the subject of a formula implies that we express the equation in terms of the variable. Thus, to make a variable the subject of the formula, we have to make the variable stand alone on one side of the equation.

Given the equation, m = n + x/p, make x the subject as explained below:

m = n + x/p [given]

Subtract n from both sides

m - n= n + x/p - n (subtraction property of equality)

m - n = x/p

Multiply both sides by p

p(m - n) = x/p(p) (multiplication property)

p(m - n) = x

x = p(m - n)

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Answer:

I believe it should be 5/6

Step-by-step explanation:

Here's why, the probability of getting a B, or an even number is 3/6 since there are 3 even numbers on a dice. The probability of getting a multiple of 3 is 2/6 since the only multiples of 3 are 1 and 3. Add the 2 together to get 5/6. Hope this helps.

Answer:

[tex]\text{P}(B \text{ or }C)=\dfrac{5}{6}[/tex]

Step-by-step explanation:

Mutually Exclusive Events

For two events, A and B, where A and B are mutually exclusive:

[tex]\boxed{\text{P}(A \text{ or }B)=\text{P}(A)+\text{P}(B)}[/tex]

Probability distribution table:

[tex]\begin{array}{|c|c|c|c|c|c|c|c|}\cline{1-7} x & 1 & 2 & 3 & 4 & 5 & 6 \\\cline{1-7} \text{P}(X=x)\phantom{\dfrac11}&\frac{1}{6}&\frac{1}{6}&\frac{1}{6}&\frac{1}{6}&\frac{1}{6}&\frac{1}{6}\\\cline{1-7}\end{array}[/tex]

where X is the score on a fair, six-sided dice.

P(B or C) means "the probability of rolling an even number or a multiple of 3".

As an even number of a fair, six-sided dice can never be a multiple of 3, the two events B and C are mutually exclusive.

Calculate the probabilities for events B and C.

Event B

Rolling an even number.

[tex]\begin{aligned}\implies \text{P}(X \text{ is even})&=\text{P}(2 \text{ or }4\text{ or }6)\\\\&=\text{P}(X=2)+\text{P}(X=4)+\text{P}(X=6)\\\\& = \dfrac{1}{6}+ \dfrac{1}{6}+ \dfrac{1}{6}\\\\&=\dfrac{3}{6}\end{aligned}[/tex]

Event C

Rolling a multiple of 3.

[tex]\begin{aligned}\implies \text{P}(X \text{ is multiple of 3})&=\text{P}(3 \text{ or }6)\\\\&=\text{P}(X=3)+\text{P}(X=6)\\\\& = \dfrac{1}{6}+ \dfrac{1}{6}\\\\&=\dfrac{2}{6}\end{aligned}[/tex]

Solution

[tex]\begin{aligned}\implies \text{P}(B \text{ or }C)&=\text{P}(B)+\text{P}(C)\\\\& = \dfrac{3}{6}+\dfrac{2}{6}\\\\& = \dfrac{5}{6}\end{aligned}[/tex]

Answer:

206

Step-by-step explanation:

Let x=4.

[tex]f(4)=-3.334(4)^4+35.607(3)^3-97.645(4)^2+41.268(4)+177.537 \approx 206[/tex]

The force created by the object is 3.75 Newton.

Given

Mass of the object (m)  = 1250 grams

Convert 1250 grams to kilograms by dividing it by 1000.

Mass (m) = 1.25 kg

Acceleration of the body (a) = 3 [tex]m/s^{2}[/tex]

From Newton's second law we know [tex]F= m *a[/tex]

By Substituting in the above equation we get

Force = 1.25 x 3

Force = 3.75 [tex]kg/m /s^{2}[/tex]

It can also be written as force = 3.75 N

Hence Force created by the body is 3.75 Newton.

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