The perimeter of a square is equal to four times the length of a side. Write the direct v variation equation that represents the situation. Y be the dependent variable and let X the independent variable

Answer:

[tex]\large\boxed{y=6x+9}[/tex]

Step-by-step explanation:

The slope-intercept form of the equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points E(-1, 3) and F(-2, -3). Substitute:

[tex]m=\dfrac{-3-3}{-2-(-1)}=\dfrac{-6}{-2+1}=\dfrac{-6}{-1}=6[/tex]

Therefore the equation of a line is:

[tex]y=6x+b[/tex]

Put the coordinates of the point E(-1, 3) to the equation and solve it for b:

[tex]3=6(-1)+b[/tex]

[tex]3=-6+b[/tex]             add 6 to both sides

[tex]9=b\to b=9[/tex]

Finally we have:

[tex]y=6x+9[/tex]

Answer:

x1 = - 4

x2 = 2/3

Step-by-step explanation:

Divide the equation by 3 to give

x^2 + 10x/3 + c/3 = 0

The sum of the two roots = - 10/3

So

x1 + x2 = -10/3

x1 - x2 = 4 2/3                Add these two equations.

2x1 = -10/3 + 4 2/3         Change 4 2/3 to an improper fraction

2x1 = -10/3 + 14/3            Combine the right

2x1 = 4/3                         Divide by 2

2x1/2 =4/3//2        

x1 = 2/3

=====================

x1 + x2 = - 10/3

2/3 + x2 = - 10/3

x2 = - 10/3 - 2/3

x2= -12/3

x2 = - 4

=================

(x - 2/3)(x +4) = 0              Multiply through by 3

(3x - 2)(x + 4) =0

==============

Check

(3x - 2)(x + 4) = 0

3x^2 + 12x - 2x - 8 =0

3x^2 + 10x - 8 = 0

Answer:

3 = ones

0 = tens

8 = hundreds

0 = thousands

5 = ten-thousands

4 = hundred-thousands

Answer  

C. 4508

Your Welcome

Answer:

Cone Volume = (π • radius² • height) ÷ 3

Cone Volume = (π • 8^2 * 17) /3

Cone Volume = (PI * 1,088) / 3

Cone Volume = 1,139.35 cubic centimeters

Step-by-step explanation:

900 = 750 + 2*75. In other words, 900 is 2 standard deviations away from the mean. Similarly, 975 is 3 standard deviations from the mean. So

[tex]P(900<X<975)=P(2<Z<3)[/tex

where [tex]X[/tex] is the random variable for the lifespan of a light bulb with the given normal distribution, and [tex]Z=\dfrac{X-750}{75}[/tex] with the standard normal distribution.

We get

[tex]P(2<Z<3)\approx0.0214=2.14\%[/tex]

If you don't have a calculator/lookup table available, you can invoke the empirical rule, the one that says

[tex]\begin{cases}P(-1<Z<1)\approx68\%\\P(-2<Z<2)\approx95\%\\P(-3<Z<3)\approx99.7\%\end{cases}[/tex]

The normal distribution is symmetric about its mean, so we also know

[tex]\begin{cases}P(0<Z<1)\approx34\%\\P(0<Z<2)\approx47.5\%\\P(0<Z<3)\approx49.85\%\end{cases}[/tex]

Then

[tex]P(2<Z<3)=P(0<Z<3)-P(0<Z<2)\approx2.35\%[/tex]

Answer:

0.021

Step-by-step explanation:

One way in which to approach this problem solution is to use a calculator that has statistical distribution functions built in.  My old TI-83Plus has the function "normalcdf," which does the job nicely.

Typing in normalcdf(900,975,750,75) results in the probability 0.021 that a light bulb chosen at random will last between 900 and 975 hours.

Using a table of z-scores would be a good alternative approach.  Note that the z-score corresponding to 750 hours is 0; that for 900 is +2; and that for 975 is +3.  Find the area under the standard normal curve to the left of 975 (z = 3) and that to the left of 900 (z = 2), and then subtract the two results.  It will be 0.021, as before.

Answer:

Step-by-step explanation:

Well let's get a couple of equivalents and you can pick the one you like best.

You could have (5 * 3)/4 = 15/4

This 15/4 will give you  3.75

You could have (2*15)/ (2*4) = 30/8 Multiply top and bottom by 2.

30/8 = 3 6/8 = 3 and 3/4  

Answer:

5.32255

Step-by-step explanation:

if the circle's surface area is 89 square feet. The circle's radius will then be 5.32 feet.

It is the closely curving line drawn from the center to an equally distant point. The distance separating a circle's center and perimeter is its radius.

Let r be the radius of the circle. Then the area of the circle is written as,

A = πr² square units

The area of the circle is 89 square feet. Then the radius of the circle will be given as,

89 = πr²

Simplify the equation, then the radius is written as,

πr² = 89

r² = 28.34

r = 5.32 feet

if the circle's surface area is 89 square feet. The circle's radius will then be 5.32 feet.

More about the area of a circle link is given below.

https://brainly.com/question/11952845

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Answer:

Step-by-step explanation:

Pete played 18 tennis matches in a week.

P = 18

Jack played 6 fewer matches than Pete.

J = P - 6

J = 18 - 6

J = 12

How many times the number of matches pete played is the number of matches jack played?

18 / 12 = 1.5

Pete played 1.5 times the number of matches that Jack played.

Answer:

Pete played 1.5 times the amount of matches Jack did.

Step-by-step explanation:

In order to find this, first find the number that Jack played. Since he played 6 fewer than Pete we can solve by subtracting 6 from Pete's number.

18 - 6 = 12

Now to find how many more times higher it is, divide the number Pete does by Jack's number. 18/12 = 1.5

Answer:

192

Step-by-step explanation:

1/2 of 24 times 16=192

Answer:

8x - 12y

Step-by-step explanation:

4(2x-3y)

Distribute/multiply the 4 to everything in the parentheses

4 * 2x = 8x      4 * -3y = -12y

8x - 12y

Answer:

[tex]4(2x-3y)=8x-12y[/tex]

Step-by-step explanation:

The given expression is

[tex]4(2x-3y)[/tex]

We expand using the distributive property to obtain;

[tex]4(2x-3y)=4\times2x-4\times3y[/tex]

This implies that;

[tex]4(2x-3y)=8x-12y[/tex]

The mathematical representation of '5 is 5% of what number?' is 5 = 0.05w. To solve for w, we divide 5 by 0.05, which gives us a value of w=100.

To solve the question, '5 is 5% of what number w?', we can set up the equation as 5 = 0.05w. This equation represents the statement '5 is 5% of some number w' in mathematical terms. To find the value of w, we divide both sides of the equation by 0.05. The calculation goes like this:

https://brainly.com/question/16797504

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The equation to find the number for which 5 is 5% is: 5 = 0.05w. The solution to the equation is w = 100.

To write and solve the equation that represents the given statement, we can let 'w' represent the unknown number.

The equation is:

5 = 0.05w

Solving for w, we divide both sides by 0.05:

w = 5 / 0.05

w = 100

Therefore, the solution to the equation is w = 100. This means that 5 is 5% of 100.

You'd need 0 pounds and 14 ounces of flour.

ANSWER

[tex] {x}^{3} - 3 {x}^{2} + 2x - 5[/tex]

is the third degree polynomial.

EXPLANATION

The third degree polynomial has the highest degree to be 3.

All the polynomials were written in standard form.

[tex]2x - 5[/tex]

is a first degree polynomial.

[tex]3 {x}^{2} + 2x - 5[/tex]

is a second degree polynomial .

[tex] {x}^{3} - 3 {x}^{2} + 2x - 5[/tex]

is a third degree polynomial.

[tex]5 {x}^{4} + {x}^{3} - 3 {x}^{2} + 2x - 5[/tex]

is a fourth degree polynomial.

Answer:

[tex]x^3-3x^2+2x-5[/tex]

Step-by-step explanation:

Since, the degree of a polynomial is the highest power of its monomial with non zero coefficient,

In the polynomial 2x - 5,

The highest power is 1,

So, its degree is 1,

In the polynomial [tex]3x^2+2x-5[/tex],

The highest power is 2,

So, its degree is 2,

In the polynomial [tex]x^3-3x^2+2x-5[/tex],

The highest power is 3,

So, its degree is 3,

In the polynomial [tex]5x^4+x^3-3x^2+2x-5[/tex]

The highest power is 4,

So, its degree is 4.

13 - 6 is 7

7 + 6 = 13

Just subtract the 2 numbers and you get your answer.

Final answer:

The equation 13 = 6 + y is solved by subtracting 6 from both sides, yielding y = 7.

Explanation:

To solve for y in the equation 13 = 6 + y, we need to isolate y on one side of the equation. We can do this by subtracting 6 from both sides of the equation.

Here is how you can solve the equation step by step:

Start with the original equation: 13 = 6 + y.

Subtract 6 from both sides: 13 - 6 = 6 + y - 6.

This simplifies to: 7 = y.

So, the value of y is 7.

Answer:

1. Multiplicative identity:

The number 1; when multiplied by any number, the value of the number does not change.

2. Multiplicative inverse:

The reciprocal of a number; the product of a number and its multiplicative inverse is 1.

3. Commutative property:

a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value

4. Additive identity:

The number 0; when added to any number, the value of the number does not change.

5. Additive inverse:

The opposite or negative of a number; the sum of a number and its additive inverse is 0

6. Associative property:

a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value

7. Distributive property:

a(b + c) = ab + ac, or a(b - c) = ab - ac

Step-by-step explanation:

1. Multiplicative identity:

Ex: 3 × 1 = 3

2. Multiplicative inverse:

Ex: The multiplicative inverse of 2 is 1/2 ⇒ 2 × 1/2 = 1

3. Commutative property:

Ex: 2 + 3 + 5 = 10 ,  3 + 2 + 5 = 10 ,  5 + 3 + 2 = 10

     2 × 3 × 5 = 30 , 3 × 2 × 5 = 30 , 5 × 3 × 2 = 30

4. Additive identity:

Ex: 2 + 0 = 2

5. Additive inverse:

Ex: The additive inverse of 5 is -5 ⇒ 5 + -5 = 0

6. Associative property:

Ex: 2 + (3 + 5) = (2 + 3) + 5

     2× (3 × 5) = (2 × 3) × 5

7. Distributive property:

Ex: 2(3 + 5) = 2 × 3 + 2 × 5

     2(5 - 3) = 2 × 5 - 2 × 3

Answer:1. Multiplicative identity:

The number 1; when multiplied by any number, the value of the number does not change.

2. Multiplicative inverse:

The reciprocal of a number; the product of a number and its multiplicative inverse is 1.

3. Commutative property:

a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value

4. Additive identity:

The number 0; when added to any number, the value of the number does not change.

5. Additive inverse:

The opposite or negative of a number; the sum of a number and its additive inverse is 0

6. Associative property:

a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value

7. Distributive property:

a(b + c) = ab + ac, or a(b - c) = ab - ac

Step-by-step explanation:

1. Multiplicative identity:

Ex: 3 × 1 = 3

2. Multiplicative inverse:

Ex: The multiplicative inverse of 2 is 1/2 ⇒ 2 × 1/2 = 1

3. Commutative property:

Ex: 2 + 3 + 5 = 10 ,  3 + 2 + 5 = 10 ,  5 + 3 + 2 = 10

    2 × 3 × 5 = 30 , 3 × 2 × 5 = 30 , 5 × 3 × 2 = 30

4. Additive identity:

Ex: 2 + 0 = 2

5. Additive inverse:

Ex: The additive inverse of 5 is -5 ⇒ 5 + -5 = 0

6. Associative property:

Ex: 2 + (3 + 5) = (2 + 3) + 5

    2× (3 × 5) = (2 × 3) × 5

7. Distributive property:

Ex: 2(3 + 5) = 2 × 3 + 2 × 5

    2(5 - 3) = 2 × 5 - 2 × 3

Step-by-step explanation:Answer:

Answer:

Step-by-step explanation:

Unfortunately, you haven't shared the graphs from which you're supposed to choose.

I would draw a number line.  Place a dot at 0.  Now move 4 spaces to the left and place another dot.  Repeat this twice.  Your final dot will represent 3(-4).

Answer:

Look at the photo provided above

This is a special right triangle with 3 sides that are 5, 12, 13. You should remember this triangle.

[tex] {13}^{2} = {x}^{2} + {12}^{2} \\ {x}^{2} = {13}^{2} - {12}^{2} \\ x = \sqrt{ {13}^{2} - {12}^{2} } = \sqrt{169 - 144} = \sqrt{25} = 5[/tex]

Answer:

0.4

Step-by-step explanation:

The way you can tell is by first looking at the left-most digit. If they are all the same, look one to the right. Keep looking until you find one with a greater number than the others.

Answer: OPTION D.

Step-by-step explanation:

The symbol of the inequality ">" means "greater than". Then, -5 is greater than -6.

If a negative number -a is greater than other negative number -b , then the distance between -a and zero is shorter than the distance between -b and zero.

You can see in the number line attached that -5 is closer to 0 than -6. Therefore, -5 is located to the right of -6.

Answer:

D

Step-by-step explanation:

Answer:

its 1.

Step-by-step explanation:

First we have to find 25% of 900 pounds (i hope that's the right currency). so 900 x .25 = 225

so we subtract 225 from 900 and get 675 pounds.

to find sales tax we have to find 6% of 675, so 675 x .06 = 40.50

675 + 40.50 = 715.5 pounds

As the x-values go to positive infinity, the function's values go to positive infinity.

Answer: D, As the x values go to positive infinity, the functions values go to positive infinity.

Step-by-step explanation:

This is true for just about any [tex]y=x^{3}[/tex] graph. As the value of the input (x) get larger, the value of the output (y) will get exponentially larger.

Answer:

V=120 in^3

Step-by-step explanation:

Height x Width x Length

Answer:

c)11√2

Step-by-step explanation:

Given that two of the angles are equal ,each measuring 45 degrees then two legs will be equal as well each measuring 11 units. We have a right angled triangle with two sides given and we are required to determine the hypotenuse. We use Pythagoras theorem;

hypotenuse^2 = 11^2 + 11^2

hypotenuse ^2 = 242

hypotenuse = [tex]\sqrt{242}[/tex]

hypotenuse = [tex]11\sqrt{2}[/tex]

Answer:

a) 11

Step-by-step explanation:

Answer:

find A PATTERN

Step-by-step explanation:

FIND A PATTERN IN THE NUMBERS

Answer:

The answer is 53

Step-by-step explanation:

Answer:

[tex]\large\boxed{(x+3)^2+(y-2)^2=225}[/tex]

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have r = 15 and the center (-3, 2). Substitute:

[tex](x-(-3))^2+(y-2)^2=15^2\\\\(x+3)^2+(y-2)^2=225[/tex]

Answer:6/8 - - - - simplified 3/4

Step-by-step explanation: removing the tile she just flipped over would be 6 plants and 2 animals so there would be 8 total tiles and you would putt the remaining tiles over it like so 6/8 meaning out of the remaining 8 tiles 6 of them are plants giving her a 6 in 8 chance or a 3 in 4 chance

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

We are given that Maggie has 7 tiles with pictures of plants and 2 tiles with pictures of animals .

Number of tiles with picture of plants =7

Number of tiles with picture of animals =2

Total number of tiles =7+2=9

We have to find the probability that the second tile that Maggie turns over has  plant on it .

When she removes one tile of picture of plant then she has number of tiles of picture of plants =6

Total number of tiles =8

Probability,P(E)=[tex]\frac{Number\;of\;favorable\;cases}{Total\;number\;of\;cases}[/tex]

Using the formula then we get

The probability that she finds tile of picture of plant =[tex]\frac{6}{8}=\frac{3}{4}[/tex]

Answer:

V = 5/8  cm^3

Step-by-step explanation:

V= l*w*h

V = 3/4 * 1/3 * 5/2

The numerator = 3*1*5 = 15

The denominator = 4*3*2 = 24

V = 15/24 cm^3

We can simplify the fraction by divide the top and bottom by 3

V = 5/8  cm^3

3/1×6/8=3/1×3/4=9/4=2 1/4