Which is the simplified form of

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]

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:

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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.

Two perpendicular lines make right angles which equal 90 degrees.

X = 90 - 42 = 48 degrees.

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.

3/1×6/8=3/1×3/4=9/4=2 1/4

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]

Answer:

its 1.

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:

V=120 in^3

Step-by-step explanation:

Height x Width x Length

Answer:

The base is 16

Step-by-step explanation:

Answer:

8 yd²

Step-by-step explanation:

Answer:

An isosceles right triangle has 2 congruent sides.

Answer:

Length is 18 meters and width is 14 meters

Step-by-step explanation:

You can solve for the length by using the perimeter formula.

P = 2l + 2w.

You know P = 72. You also know the length is l and the width is w = l - 4.

72 = 2l + 2(l - 4)

72 = 2l + 2l - 8

72 = 4l - 8

72 = 4l

18 = l

This means the width which is 4 meters less is 18 - 4 = 14.

Answer:

Step-by-step explanation:

Put the values of x from the set {0, 1, 2, 3, 4} to the euation 5x + 6 = 6 and check it:

for x = 0:

5(0) + 6 = 6

0 + 6 = 6

6 = 6      TRUE

for x = 1:

5(1) + 6 = 6

5 + 6 = 6

11 = 6    FALSE

for x = 2:

5(2) + 6 = 6

10 + 6 = 6

16 = 6   FALSE

for x = 3:

5(3) + 6 = 6

15 + 6 = 6

21 = 6          FALSE

for x = 4:

5(4) + 6 = 6

20 + 6 = 6

26 = 6    FALSE

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:

Step-by-step explanation:

It's not math, but the answer is BITTER. (i used google translate)

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:

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

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:

C

Step-by-step explanation:

In the table -1 and 1 are equal to 5, which is also shown in C.

Since k is a transformed function, a graph that shows the parent function of k is: C. graph C.

Generally speaking, a function can be stretched by multiplying it with the absolute value of a numerical value that is either greater than 1 or less than -1.

Additionally, you should multiply the x-variable with the shrink or stretch factor when compressing (shrinking) or stretching a function horizontally.

Since the numbers 1 and -1 both yield the same output value, it ultimately implies that the graph of the parent function must be a parabola and a quadratic function;

As x decreases from -1, k(x) would increase.

As x increases from 1, k(x) would increase.

Missing information:

Function k has a parent function. The table shows some ordered pairs that belong to k.

Which graph shows the parent function of k?

Answer:

Independent

Step-by-step explanation:

with replacement the total number of tiles will always remain the same,i.e the sample size will not be changed. so the events are independent.

Drawing a red tile from a bag and a green tile after replacing the first tile are independent events because the composition of the bag remains unchanged, meaning the probability of drawing the green tile remains constant.

When drawing a red tile from a bag and then drawing a green tile after replacing the first tile, the two events are considered independent. The outcome of drawing the green tile does not depend on the outcome of drawing the red tile. This is because when the first tile is replaced, the composition of the tiles in the bag remains unchanged, resulting in the probability of drawing a green tile being the same regardless of the previous draw. This is known as sampling with replacement.

If, however, the first tile was not replaced, the events would then be dependent, because the removal of the red tile would alter the composition of the bag, affecting the probability of drawing a green tile on the second draw. This is referred to as sampling without replacement. An example of dependent events is a scenario where if a bag contains four blue and three white marbles, and a marble is drawn and not replaced, the probability of drawing a marble of a particular color would change for the second draw.

2-3y is the answer u used distributive property to expand it

Answer:

Step-by-step explanation:

ANSWER

[tex]4,8,14[/tex]

EXPLANATION

Let the first number be

[tex]x[/tex]

Then the second number will be

[tex]2x[/tex]

and the third number is

[tex]2x + 6[/tex]

The sum of these numbers is 26.

This implies that;

[tex]x + 2x + (2x + 6) = 26[/tex]

Group similar terms;

[tex]x + 2x + 2x = 26 - 6[/tex]

Simplify;

[tex]5x = 20[/tex]

Divide both sides by 5

[tex]x = \frac{20}{5} [/tex]

This gives us;

[tex]x = 4[/tex]

The numbers are:

[tex]4,8,14[/tex]

Answer:

11.57

Step-by-step explanation:

We have a simple formula to solve this:

[tex]s^2=\frac{SS}{n-1}[/tex]

where

SS is sum of squares

s^2 is the variance, and

n is the number of data points

We are given all the info to find out s^2. Hence,

[tex]s^2=\frac{SS}{n-1}\\s^2=\frac{162}{15-1}\\s^2=\frac{162}{14}=11.57[/tex]

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

Answer:

3 = ones

0 = tens

8 = hundreds

0 = thousands

5 = ten-thousands

4 = hundred-thousands

Answer  

C. 4508

Your Welcome

Answer:

2 hours and 5 minutes.

Step-by-step explanation:

1 hour and 15 minutes. A quarter of an hour is 15 minutes. A full paper would be 5/5. So you would take 15x5 which would give you 75 minutes or an hour and 15 minutes

Answer:

192

Step-by-step explanation:

1/2 of 24 times 16=192

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: the answer is B beacuase The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."

The sum of two irrational numbers is always irrational is true. Option A is correct.

Given that,
To determine the statements that is true from the given statements.

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.

Here,
A) the sum of two irrational numbers is always irrational.
True,

b) the product if two irrational numbers is sometimes rational.
False

c) the product of a rational number and an irrational number is sometimes rational.
False

d) the sum of two rational numbers is sometimes irrational​.
False

Thus, the only option that is true is the sum of two irrational numbers is always irrational. Option A is correct.

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