The number 36 is 12% of:​

Answer: 5: (-2, -1) 6: (0,2)

Step-by-step explanation:

Answer:

It is not a integer, it is a rational number

Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!

Step-by-step explanation:

Answer:

\((f\circ g)(1)=3\)

Step-by-step explanation:

\((f\circ g)(1)=f(g(1))=f(1^2-3)=f(-2)=-2(-2)-1=4-1=3\)

Ask me more about composite functions if you are still confused

Answer:

21+/-sqrt(253)=x

So one value for x is 21+sqrt(253)

and another is 21-sqrt(253)

Problem:

Given (21,7) and (x,1), find all x such that the distance between these two points is 17.

Step-by-step explanation:

Change in x is x-21

Change in y is 7-1=6

distance^2=(change in x)^2+(change in y)^2

17^2=(x-21)^2+(6)^2

289=(x-21)^2+36

Subtract 36 on both sides:

289-36=(x-21)^2

253=(x-21)^2

Take square root of both sides:

+/-sqrt(253)=x-21

Add 21 on both sides:

21+/-sqrt(253)=x

There are two values of "x" that satisfy the given condition:

\(1. \( x = 21 + \sqrt{253} \) \ 2. \( x = 21 - \sqrt{253} \)\) These are the values of "x" such that the distance between the points (21, 7) and (x, 1) is 17.

Given two points (21, 7) and (x, 1) and the distance formula:

\(Distance = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}}\)

We want to find all the values of "x" such that the distance between these two points is 17:\(\[ 17 = \sqrt{{(x - 21)^2 + (1 - 7)^2}} \]\)

Simplifying the equation: \(\[ 289 = (x - 21)^2 + 36 \]\)

Moving the constant term to the other side:\(\[ (x - 21)^2 = 253 \]\)

Taking the square root of both sides: \(\[ x - 21 = \pm \sqrt{253} \]\)

Finally, isolating \("x": \[ x = 21 \pm \sqrt{253} \]\)

So, there are two values of "x" that satisfy the given condition:

\(1. \( x = 21 + \sqrt{253} \) \ 2. \( x = 21 - \sqrt{253} \)\)

These are the values of "x" such that the distance between the points (21, 7) and (x, 1) is 17.

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\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

9514 1404 393

Answer:

  152

Step-by-step explanation:

The third one is their average, so is 740/5 = 148. The largest is 4 more than that, so ...

  the largest value of the group is 152

_____

The numbers are 144, 146, 148, 150, 152.

The largest number when sum of five consecutive even integers is 740 is 152.

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Example: 1,2,3,4,5,6

                1,3,5,7,9,11

                 2,4,6,8,10,12

Difference between nearer numbers always equal

Given,

There are 5 consecutive even integers.

Then difference between each nearer number is 2

Let the first number be x

Then another 4 numbers be

(x + 2), (x + 4), (x + 6), (x + 8)

Now

According to question

(x + x + 2 + x + 4 + x + 6 + x + 8) = 740

5x = 740 - 20

x = 144

And the highest number is x + 8 = 152

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Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Answer:

There are a total of 840 possible different teams

Step-by-step explanation:

Given

Number of boys = 6

Number of girls = 8

Required

How many ways can 4 boys and 5 girls be chosen

The keyword in the question is chosen;

This implies that, we're dealing with combination

And since there's no condition attached to the selection;

The boys can be chosen in \(^6C_4\) ways

The girls can be chosen in \(^8C_5\) ways

Hence;

\(Total\ Selection = ^6C_4 * ^8C_5\)

Using the combination formula;

\(^nCr = \frac{n!}{(n-r)!r!}\)

The expression becomes

\(Total\ Selection = \frac{6!}{(6-4)!4!} * \frac{8!}{(8-5)!5!}\)

\(Total\ Selection = \frac{6!}{2!4!} * \frac{8!}{3!5!}\)

\(Total\ Selection = \frac{6 * 5* 4!}{2!4!} * \frac{8 * 7 * 6 * 5!}{3!5!}\)

\(Total\ Selection = \frac{6 * 5}{2!} * \frac{8 * 7 * 6}{3!}\)

\(Total\ Selection = \frac{6 * 5}{2*1} * \frac{8 * 7 * 6}{3*2*1}\)

\(Total\ Selection = \frac{30}{2} * \frac{336}{6}\)

\(Total\ Selection =15 * 56\)

\(Total\ Selection =840\)

Hence, there are a total of 840 possible different teams

Answer:

A

Step-by-step explanation:

For a right triangle

\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)

This is the same as the other triangle because they are the same size because of congruency

Area of the rectangle

\(a^2+b^2=c^2\\\)

\(\sqrt{(10.4^2+15.3^2} =c\)

\(c= 18.5\)

18.5 x 7 = 129.5

Add them all up

129.5+79.56+79.56= 288.62

Answer: Consider me the brainiest. The answer is... Decimal form =4.083

Exact form= 49/12

The mixed number form=4 1/12

How do we solve fractions step by step?

Conversion a mixed number 2  1/3 to a improper fraction: 2 1/3 = 2  1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3

To find a new numerator

A;   Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one-third are seven-thirds.

Conversion a mixed number 1  3/4 to a improper fraction: 1 3/4 = 1  3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4

To find a new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7

c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.

Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It

is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions.  The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12.  It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling.  In other words - seven thirds plus seven quarters is forty-nine twelfths.

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer: 145

Step-by-step explanation:

Given:

58 = 40%(x)

Step 1: Turn 40% into a decimal and divide it to the other side

When turning a percentage into a decimal, the decimal point has to be moved two places to the left.  This means that 40% will be turned into 0.4.

58 = 0.4(x)

Divide 0.4 over to the other side.

58/0.4 = 0.4/0.4(x)

0.4 is the same as 4/10.  This means that 58/1 is divided by 4/10.  When dividing a number by a fraction, you invert the fraction and multiply it by the number.

58/1 * 10/4 = 580/4 = 145

145 = x

This is your answer

The simplified sum of the second and forth integers are; -1 + 5 = 4

An integer is defined as a whole number that can be positive, negative, or zero. Examples of integers are: -7, 2, 9, 18, 125, and 9803

Now, we are given the consecutive integer sequence as;

x, 1, 3, 5

Now, since the integers are consecutive, then the common difference is the same. Thus;

1 - x = 3 - 1

1 - x = 2

x = 1 - 2

x = -1

Sum of first and fourth term = -1 + 5 = 4

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The correct answer is,

C. 60(x - 3) = 45x.

This equation is based on the information that the 45 expensive wood costs $3.00 more than the 60 cheap wood. In other words, if the price of the 60 cheap wood is x, the price of the 45 expensive wood is x + 3.

Since,  Algebra involves working with numbers, equations, and variables to solve real-world problems and understand abstract relationships.

Now, To solve this equation, we must use algebra and solve for x.

First, we multiply both sides of the equation by 4/5. This gives us:

48x + 36 = 45x

-36 = 3x

Finally, we divide left side of the equation by 3, giving us the final solution:

x = -12

Therefore, the price of the 60 cheap wood is $12, and the price of the 45 expensive wood is $15.

that is, 60 (x - 3) = 45x

This equation shows the correct relationship between the two types of wood that the contractor purchased.

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(a) The value of  [h/g] function is h/g = (3x² - 4) / (-4x + 6).

(b) The domain of [h/g] is all real numbers except x = 3/2.

In mathematics, the domain of a function is the set of all possible input values (usually denoted by x) for which the function is defined. It is the set of all values of the independent variable for which the function produces a valid output.

In the given question,

(a) To find h/g, we need to divide the function h(x) by the function g(x):

h/g = (3x² - 4) / (-4x + 6)

(b) To find the domain of [h/g], we need to determine which values of x would make the denominator equal to zero, since division by zero is undefined.

-4x + 6 = 0

-4x = -6

x = 6/4 = 3/2

So the only value that could make the denominator zero is x = 3/2. Therefore, the domain of [h/g] is all real numbers except x = 3/2.

[h/g] = (3x² - 4) / (-4x + 6), x ≠ 3/2.

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Answer:

A. 390

Step-by-step explanation:

An exponential function can be written in the form \(f(n)=a\times b^n\), where \(a\) is your starting population, \(b\) is the factor by which the population increases, and \(n\) is the number of terms. In this case, \(a=740\), \(b=0.88\) because the population decreases by 12 percent (1-0.12=0.88), and \(n=5\).

Thus, \(f(5)=740 \times 0.88^5\), which is roughly equal to 390.

We have to remember that a unit rate is a rate (a fraction that compares two quantities with different units) with the unit in the denominator.

Then, to solve this question, we need to divide the given miles by the total of gallons to have the unit rate. Then, we have:

Then, the unit rate is 7 1/2 miles per gallon.

Answer:

domain : [-2,10]

Step-by-step explanation:

domain is only see the x-axis, and range is for y-axis.

And if the end point is hollow dot, using ( ), if it's filled dot, using [ ] .

Answer:

Well, it depends if you are asking the rate per gallon it would be 12 miles per gallon.

Answer:

x = -1

Step-by-step explanation:

0.5(5-7x)=8-(4x+6)       note.......0.5   = 1/2

(1/2) ( 5 - 7x)  = 8 - 4x - 6

(1/2) (5 - 7x)  = 2 - 4x    multipy through by 2

5 - 7x   = 4 - 8x         add 8x  to both sides.......subtract 5 from both sides

x = -1

the answer is c

Step-by-step explanation:

i took the test today

An expression that is equivalent to 3(5x-4) is: D. 15x-12.

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

Mathematically, the distributive property of multiplication is given by this expression:

a(b + c) = ab + ac.

By applying the distributive property of multiplication to the given expression, we have:

3(5x - 4) = 3(5x) - 3(4)

3(5x - 4) = 15x - 12

Therefore, the correct answer option is: D.) 15x - 12.

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Complete Question:

Which expression is equivalent to 3(5x-4)

A 8x-4

B 8x-1

C 15x-4

D 15x-12

Answer:

Therefore, Michael's estimated current score is 597 points.

Step-by-step explanation:

To estimate Michael's current score, we can round his Level 2 score up to 400 (since it's closer to 400 than to 300), and his Level 3 loss down to 200 (since it's closer to 200 than to 300).

So Michael's estimated current score is:

397 (Level 1) + 400 (Level 2) - 200 (Level 3) = 597

Answer:

Step-by-step explanation:

We know that:

Let's first solve for y by choosing any equation.

Now, let's substitute the value of y into the second equation.

Now, let's substitute the value of x into the equation of y.

Hence, the value of x and y are 2.5 and 4 respectively.

Answer:

C. -1/12

(I promise I worked it out and checked with my calculator)

Answer:

(1/6)(-1/2)=

B. -1/12

:D

Answer:

The correct answer is B, also may be Brain??

Step-by-step explanation:

The perimeter of a rectangle can be calculated using the formula P = 2l + 2w, where l is the length and w is the width. If the length of the rectangle is 25 cm and we want the perimeter to be greater than 90 cm, we can set up an inequality to solve for the width: 2l + 2w > 90.

Substituting the value for the length gives 2 * 25 + 2w > 90, which simplifies to 50 + 2w > 90. Subtracting 50 from both sides gives 2w > 40, and dividing by 2 gives w > 20.

So the width of the rectangle must be greater than 20 cm to make the perimeter greater than 90 cm. The correct answer is B: width > 20 cm.

Answer:

i'm guessing this but not 100% sure

Step-by-step explanation:

Let w = the width

P = 2l + 2w

2w + 2(25) > 90

2w + 50 > 90

2w > 40

w > 20 cm

Answer:

False. The center of a semisimple Lie algebra is usually not trivial.

Step-by-step explanation:

The center of a semisimple Lie algebra is the set of elements of the Lie algebra that commute with all other elements in the algebra. In most cases, the center of a semisimple Lie algebra is not trivial, meaning it contains at least one non-zero element. For example, the center of the simple Lie algebra sl(2,C) contains the two-dimensional Lie algebra spanned by the scalar matrices I and -I. The center of the Lie algebra so(5,C) is spanned by the five-dimensional Lie algebra spanned by the matrices diag(1,1,1,-1,-1). These examples demonstrate that the center of a semisimple Lie algebra is usually not trivial.

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The last number of the first half is 3.5

A number system is defined as a system of writing to express numbers.

The set of all the 7-digit numbers that can be obtained using, for each number, all the digits 1, 2, 3,..., 7.

If you list the numbers of the set in increasing order and split the list exactly at the middle into two parts of the same size

We need to find the last number of the first half

The numbers are 7.

To split into two parts we have to divide by 2

So 7/2=3.5

Hence, the last number of the first half is 3.5

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