The range of a relation is given.
-2,-1,0,1,2
Which domain would make the relation not a function?
o 1,1,0,-1, - 1
0 -2, -1,0,1,2
O 0,-1, 2, 1,0
0 0,1,2,3,4

The probability of all three events occurring are; 1st even number is 1/2

2nd prime number is 2/3. and 3rd multiple of 5 is 1/3.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

Given that fair dice is rolled 3 times in a row.

The outcomes are;

1. P( even number) = total even number / total number of outcomes

                               = 3/ 6 = 1/2

2. prime number

P( prime number) = total prime number / total number of outcomes

                               = 4/ 6 = 2/3

2. multiple of 5

P( multiple of 5) = total number that are multiple of 5/ total number of outcomes

                               = 2/ 6 = 1/3

Hence, The probability of all three events occurring are; 1st even number is 1/2 2nd prime number is 2/3. and 3rd multiple of 5 is 1/3.

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Answer:

Option B

Step-by-step explanation:

The figures are made out of squares.

\(\text {Formula for area of a square: } A =s^2\\s-\text {Length of side.}\)

Square 1 (the gray square):

The side measure is 4 cm.

\(A = 4^2 = 16cm^2\)

Square 2 (white square):

The side measure is 2 cm.

\(A=2^2=4cm^2\)

Subtract the area of the white square from the gray square to get the area of the shaded region:

\(16 - 4 =12\)

The shaded region is \(12cm^2\).

Option B should be the correct answer.

Brainilest Appreciated!

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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Answer:

40320 way

Step-by-step explanation:

Given:

In how many ways can 8 people line up for movie tickets?

You can do the following:

⇒ Tree diagram

⇒ List

⇒ Table

⇒ Multiply

Solve:

For me, I like to use Multiply for this question.

1 ×2×3×4×5×6×7×8

2 ×3×4×5×6×7×8

6×4×5×6×7×8

24×5×6×7×8

120 ×6×7×8

720×7×8

5040×8

40320

Hence, in 40320 ways can 8 people line up for movie tickets.

~Learn with Lenvy~

Answer:

35

Step-by-step explanation:

just trust me its the total

Answer:

35

Step-by-step explanation:

25-5=20

20-10=10

10+15=25

25+10=35

Answer:

x = 4

Step-by-step explanation:

To solve, we need to isolate x.

Start by moving the 20 to the other side by subtracting it from both sides.

2x = 8

Since x is being multiplied by 2, we need to divide both sides by 2 to move it to the other side.

x = 4

Answer:

207400%

Step-by-step explanation:

Look at the decimal number 2074 as 2074 out of one. Furthermore, percent means per hundred. So the task is to convert 2074 out of one to 2074 out of one hundred.

The equation to solve the problem is displayed below where x is the 2074 as a percentage.

2074

/1

   =  

x

/100

Please mark brainliest if correct and have a blessed day!

We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 2074 as a percentage is:

207400%

Answer:

the answer is 207400% I do believe

Answer:

D.   -\(\sqrt{17}\)/8

Step-by-step explanation:

Draw a right triangle such that cos (theta) = 8/9.  That means the hypotenuse = 9 and the adjacent side to theta = 8

Use the Pythagorean theorem to find the opposite side to theta

\(\sqrt{9^{2} - 8^{2} } = \sqrt{81 - 64} = \sqrt{17}\)

tan (theta) = \(\sqrt{17}\)/8

Since theta is in quadrant IV, the tan is negative.  So, tan (theta) = -\(\sqrt{17}\)/8

After considering the equation. Assuming  8 is an angle in quadrant iv, the value of tan(Ф) is:√17/8

Given:

Equation=cos(Ф)=8/9

Using pythagorean theorem formula

H²=P²+B²

Where:

B=8

H=9

Let plug in the formula

P²=9²-8²

P=√81-64

P=√17

Since 8 is an angle in quadrant iv. Hence:

Value of TanФ=√17/8

Inconclusion the value of tan(Ф) is:√17/8

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Answer:

they did the subtraction wrong it should be addition

Step-by-step explanation:

The perimeter of the right triangle is 26 units.

From the given graph, the measure of side AB= 8 units and the measure of side BC= 7 units.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

By Pythagoras theorem,

AC²=AB²+BC²

⇒ AC²=8²+7²

⇒ AC²=113

⇒ AC=10.63

≈ 11 units

Perimeter =AB+BC+AC

= 8+7+11

= 26 units

Therefore, the perimeter of the right triangle is 26 units.

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So, the function has only one x-intercept, which is also its zero, at \(x = -1.\)

B. The y-intercept of the function is at \((0, \sqrt2-1).\)

C. The domain of the function is. \(x \geq -2,\) as the expression under the square root must be non-negative.

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of outputs (called the range), where each input corresponds to exactly one output. In other words, a function takes an input value and produces a unique output value.

Functions are commonly represented using mathematical notation, such as f(x) or y = f(x), where f is the name of the function and x is the input variable. The output value of the function is then denoted by f(x) or y.

by the question.

To sketch the graph of the function\(f(x) = \sqrt {x+2}-1\), we can use the zeros, y-intercepts, and the domain.

Zeros:

To find the zeros of the function, we set f(x) = 0 and solve for x:

\(= \sqrt {x+2}-1\)

\(\sqrt x+2 = 1\)

Square both sides:

\(x+2 = 1\)

\(x = -1\)

So, the function has a zero at\(x = -1\).

Y-intercept:

To find the y-intercept of the function, we set x = 0:

\(f (0) = \sqrt0+2-1 = √2-1\)

So, the function has a y-intercept at (0, √2-1).

Domain:

The function is defined for all x such that the expression under the square root is non-negative. So, we have:

\(x + 2\geq 0\)

\(x \geq -2\)

Therefore, the domain of the function is \(x \geq -2.\)

To sketch the graph, we can plot the y-intercept (0, √2-1) and the zero (-1, 0) on the coordinate plane, and then draw the curve of the function between those points. The graph should look like a half of a parabola opening upwards, with its vertex at (-2, -1).

A. To find the x-intercepts, we set f(x) = 0:

\(\sqrt x+2-1 = 0\)

\(\sqrt x+2 = 1\)

Square both sides:

\(x+2 = 1\)

\(x = -1\)

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Answer:

%17

Step-by-step explanation:

Answer:

a=1 b=2

Step-by-step explanation:

1+2=3

1×2=2

I hope this helped you :)

9514 1404 393

Answer:

  7/10

Step-by-step explanation:

In order to make the units cancel, they must be the same. There are 4 quarts in 1 gallon, so 40 quarts = 10×4 quarts = 10×(1 gal) = 10 gal.

Then the ratio is ...

  (7 gal)/(10 gal) = 7/10

Answer:

65 + 45 + X = 180

110 + X = 180

X = 180 - 110

X = 70°

that means the other angle in the triangle is 70°

then to find the angle on a straight line

70 + y = 180

collect like terms

y = 180 - 70

y = 110°

that means the angle with the question mark is 110°

hope it helps

Answer:

k(x) + g(x) = x² - 3x + 4

General Formulas and Concepts:

Alg I

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 7

g(x) = 2x² - 3x + 1

h(x) = 4x + 1

k(x) = -x² + 3

Step 2: Find k(x) + g(x)

-1/16

1) Considering that we have the following identity:

2) We can plug into that the cos (x).:

Since for the Quadrant II cosine yields a negative value.

The value of p is 15

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day

Therefore everyday he reads 58+p pages per day

If he reads for 10 days and he reads a total 1408 pages then we have

In a week there is one Saturday

thus

9p+58=1408

9p=1350

p=15

Thus on the other days p is equal to 15 pages per day.

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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.

Answer: Yes.

Step-by-step explanation: Because if it is 0 on the x axis then no matter what the Y number is it will be on the line.

Answer:

A, B, D

Step-by-step explanation:

A polynomial is a 1 term or a sum of terms.

Each term is a number multiplied by 0 or more variables.

A term can never have a variable in the denominator or in any root. A term cannot have the logarithm of a variable or any trig function of a variable.

Answer: A, B, D

Answer:

N = 3M

Step-by-step explanation:

The estimate for the mean time spent dancing is given as follows:

27 minutes.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

In this problem, we have a grouped frequency chart, hence, using the midpoint rule, the observations are given as follows:

Hence the mean is given as follows:

M = (11 x 6 + 25 x 18 + 23 x 30 + 15 x 42 + 6 x 54)/(11 + 25 + 23 + 15 + 6)

M = 27.

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Mistake occurred because Riley incorrectly factored the denominator of the second fraction as (x-2)(x+3) instead of (x-3)(x+3). This resulted in an incorrect expression in step 2, which led to incorrect calculations in subsequent steps.

Riley made a mistake on step 2. The second term should have been written as follows:

startfraction 3(x-3) over endfraction (x-2)(x-3)

Riley instead wrote:

endfraction startfraction 3(x-2) over (x-2)(x+3)

Riley erroneously calculated the second fraction's denominator as (x-2)(x+3) rather than (x-3)(x+3), which led to this error. Step 2's expression was inaccurate as a result, which caused the computations in the steps that followed to be incorrect.

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Answer:

a. 12 cm

Step-by-step explanation:

Since the squares have a side length of 2 cm, all sides of the squares are 2cm(See 1st image).

Combine those two squares to form a rectangle(See 2nd image)

Now you can add the two sides that say 2 cm in order to make a

4 cm side(See 3rd image)

Now, add all sides up: 4 + 4 = 8  ==> the 2 long sides

2 + 2 = 4  ==> the 2 short sides

8 + 4 = 12 cm ==> total length

The incorrect statement is

In mathematics, dilation can be defined as a transformation which alters the size of an object, though its shape remains unchanged. It is described as a specific similarity transformation where all dimensions associated with the given object (i.e. height, width and length) are increased or decreased uniformly by a particular scale factor.

A dilation thus produces an alteration in size, with the figure being either magnified or diminished while keeping its unique shape intact.

The scale factor used in the dilation is 9/7 instead of 7/3.

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Answer:

G(x) =0.4/0.7

F(x)= 6.6/14

Step-by-step explanation:

G(x)= 0.4/0.7

F(x)= 4(0.4)+5

=6.6

4(0.7)+5

=14.

Dm me if I'm wrong. If not, please mark as brainliest

Answer:

-2

Step-by-step explanation:

y = 10

Find the value of 5y - 52

Substitution would be used here so:

5(10) - 52          --------  [5(10) baiscally means 5 x 10]

= 50 -52

= -2

I hope this helps!

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\(\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

                  When y=10, what is the value of 5y-52?

\(\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

First, write 10 in lieu of y and then simplify:-

5(10)-52

On simplification,

50-52

And finally,

-2

So we conclude that the value of the expression 5y-52 when y=10 is -2.

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