Is the statement (35)4 = (34)5 true?

Answer: right side behavior:

              f(x) is Decreasing

             g(x) is Increasing

             h(x) is Increasing

             j(x) is Decreasing

Step-by-step explanation:

The rules for end behavior are based on 2 criteria: Sign of leading coefficient and Degree of polynomial

Sign of leading coefficient (term with greatest exponent):

Degree of polynomial (greatest exponent of polynomial:

f(x) = -2x²

as x → +∞, f(x) → +∞  Decreasing

as x → -∞, f(x) → -∞   Decreasing

g(x) = (x + 2)³

as x → +∞, f(x) → +∞  Increasing

as x → -∞, f(x) → -∞   Decreasing

[tex]h(x)=-1+x^{\frac{1}{2}}\implies h(x)=x^{\frac{1}{2}}-1[/tex]  

as x → +∞, f(x) → +∞  Increasing

as x → -∞, f(x) → -1    Decreasing to -1

[tex]j(x)=\dfrac{1}{2}(-x)^5\implies j(x)=\dfrac{1}{2}(-1)^5(x)^5\implies j(x)=-\dfrac{1}{2}x^5[/tex]

as x → +∞, f(x) → +∞  Decreasing

as x → -∞, f(x) → -∞   Increasing

Answer:

10.56

Step-by-step explanation:add 1.25 and 6 then, add 6 and 1.5 together and last divide by 61

10c - 25

Take 5 out

5.(2c - 5)

Answer:

C. Some slokes are yelbs.

Step-by-step explanation:

Given that ;

All snarfs are Yelbs

All Yelbs are Blue

Migs are Green or Pink

Some Slokes are Snarfs

We can see that some Slokes are related to snarfs hence connected to Yelbs

It will be correct to say that some slokes are yelbs

Answer:

The answer is: C. Some slokes are yelbs.

Step-by-step explanation:

Since all snarfs are yelbs. And some slokes are snarfs. Some slokes are yelbs, because all the yelbs are snarfs.

The answer is: C. Some slokes are yelbs.

Step-by-step explanation:

You must first add 20 to all inqualies, leaving u with 0 is greater than or equal to 2x which is also greater than or equal to 40.

Divde everything by 2 to get rid of the 2 from the x

0 divided by 2 is 0, 2x divded by 2 is x, 40 divided by 2 is 20.

Thats the answers

Answer: x is less than or equal to 35.

Step-by-step explanation:

Answer:

Weighted mean grade: 81.2

Letter grade: B

Step-by-step explanation:

5 regular tests:

  (63+91+88+84+79) / 5 * 60%

= 405 / 5 * 0.6

= 48.6

Final exam:

86 * 10% = 8.6

Project:

90 * 15% = 13.5

Homework:

70 * 15% = 10.5

So her weighted mean grade is

48.6 + 8.6 + 13.5 + 10.5 = 81.2

The student's weighted mean grade is 81.2, which corresponds to a letter grade of B.

To calculate the student's weighted mean grade, we must apply the provided weights to each component. The five tests count for 60%, the final exam counts for 10%, the project counts for 15% and the homework counts for 15%.

First, find the mean of the five regular test scores: (63 + 91 + 88 + 84 + 79) / 5 = 81.

Then, calculate individual contributions by multiplying the scores by the corresponding weights:

Add these to find the student's weighted mean grade: 48.6 + 8.6 + 13.5 + 10.5 = 81.2. As her grade is above 80, her letter grade would be B.

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Answer:

The triangle with vertices with (3, 5), (-2, 6), and (1, 3) is a right triangle.

Solution:

Given that the vertices of triangle are (3, 5), (-2, 6) and (1, 3)

Let us consider A(3, 5) B(-2, 6) C(1, 3)

If the sum of square of distance between two vertices is equal to the square of distance between third vertices, then the triangle is a right angled triangle.

By above definition, we get  

[tex]BC^{2} + CA^{2} = AB^{2}[/tex] ----- eqn 1

Where AB is the distance between vertices A and B

BC is the distance between vertices B and C

CA is the distance between vertices C and D

Distance between any two vertices of a triangle is given as  

[tex]Distance =  \sqrt{\left(x_{2} -x_{1}\right )^{2} + \left(y_{2} -y_{1}\right)^{2}  }[/tex] ------- eqn 2

Step 1:

Let us find the distance between the vertices A(3,5) and B(-2,6)  

By using equation 2, we get  

[tex]x_{1} = 3, x_{2} = -2, y_{1} = 5 \text { and } y_{2} = 6[/tex]

Distance between vertices A and B =[tex]\sqrt{(-2-3)^{2}+(6-5)^{2}}[/tex]

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

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

= [tex]\sqrt{25+1}[/tex]

= [tex]\sqrt{26} units[/tex]

Step 2:

Let us find the distance between the vertices B(-2,6) and C(1,3)

By using equation 2, we get  

[tex]x_{1} = -2, x_{2} = 1, y_{1} = 6 \text { and } y_{2} = 3[/tex]

Distance between vertices B and C = [tex]\sqrt{(1-(-2))^{2}+(3-6)^{2}}[/tex]

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

= [tex]\sqrt{3^{2}+9}[/tex]

= [tex]\sqrt{9+9}[/tex]

= [tex]\sqrt{18} \text { units }[/tex]

Step 3:

Let us find the distance between the vertices C(1,3) and D(3,5)

By using equation 2, we get  

[tex]x_{1} = 1, x_{2} = 3, y_{1} = 3 \text { and } y_{2} = 5[/tex]

Distance between the vertices C and A

= [tex]\sqrt{(3-1)^{2} + (5-3)^{2}}[/tex]

= [tex]\sqrt{2^{2} + 2^{2}}[/tex]

= [tex]\sqrt{4+4}[/tex]

= [tex]\sqrt{8} units[/tex]

Step 4:

By using equation 1,

[tex]BC^{2} + CA^{2} = AB^{2}[/tex]

[tex](\sqrt{18})^{2} + (\sqrt{8})^{2} = (\sqrt{26})^{2}[/tex]

18 + 8 = 26

26 = 26

Hence the condition is satisfied. So the given triangle with vertices with (3,5), (-2,6), and (1,3) is a right triangle.  

The number of words Jack can type in a minute is 73 words.

In seven minutes, Jack types 511 words. To calculate how many words he types per minute, you divide the total number of words by the total time taken:

Words per minute = Total words / Total time

Words per minute = 511 words / 7 minutes

Words per minute = 73 words

Answer:

$540

Step-by-step explanation:

You need first to calculate the hour rate that is payment divided to total number of hours done.

297/22 = 13.5

Now we know that she is earning $13.5/1 hour

We just need to multiply by 22 hours and we have 13.5*22 = $540

Answer:

Step-by-step explanation:

2,080

Answer:

4b < 32

b < 8 is the solution

Answer:

B. Angle Addition Postulate; Subtraction Property of Equality

Step-by-step explanation:

Given:

[tex]m\angle PQR=x+7\\ \\m\angle SQR=x+3\\ \\m\angle PQR+m\angle SQR=m\angle PQS=100^{\circ}[/tex]

Find: x

Solution:

1. [tex]m\angle PQR+m\angle SQR=m\angle PQS[/tex] - Angle Addition Postulate

2. [tex]x+7+x+3=100[/tex] - Substitution Property

3. [tex]2x+10=100[/tex] - Simplify

4. [tex]2x=90[/tex] - Subtraction Property of Equality

5. [tex]x=45[/tex] - Division Property of Equality

D.) 2.5r

You are having r rows with 2.5 inches of bricks.

Answer:

B. y = 4x

Step-by-step explanation:

** 4 blocks = 1 unit [vertically]

Starting from the origin, you do rise\run by moving four blocks north over one block east. This graph is an example of what is known as direct variation.

I am joyous to assist you anytime.

Answer:

It would be A y=x

Step-by-step explanation:

Answer:

Fraction: 24/100

Decimal: 0.24

Hope this helps!

Answer:

[tex](14+12)\times (8+12) > (14\times 12)+(8\times 12)[/tex]

Step-by-step explanation:

First let us evaluate the value of both the expressions.

[tex](14+12)\times (8+12) = 26\times 20 = 520[/tex]

[tex](14\times 12)+(8\times 12) = 168 + 96 = 264[/tex]

a) Hence, Larry's claim that both the expressions are equivalent is wrong.

The evaluation of the expressions have been shown above. The second expression was obtained by swapping the addition and multiplication order and that created the difference.

b) Clearly,

520 > 264

Therefore,

[tex](14+12)\times (8+12) > (14\times 12)+(8\times 12)[/tex]

[tex](14+12)\times (8+12)[/tex] is greater by the expression  [tex](14\times 12)+(8\times 12)[/tex] by a value of 520 - 264 = 256.

Final answer:

Larry is incorrect; the expressions (14 + 12) × (8 + 12) and (14 × 12) + (8 × 12) are not equivalent. The first expression equals 520, and the second equals 264, with the first being greater by 256.

Explanation:

No, Larry is not correct. The expressions (14 + 12) × (8 + 12) and (14 × 12) + (8 × 12) are not equivalent because they do not follow the same mathematical rules. The former is calculated using the distributive property of multiplication over addition, while the latter is simply a sum of two products.

To illustrate, let's compute both expressions:

Comparing the results, 520 is evident greater than 264. The difference between them is 256.

The rules of mathematics are universally valid, and incorrect application of these rules can lead to different outcomes, as shown in Larry's claim.

Answer:

1000 mm

Step-by-step explanation:

Because the conversion from meters to centimeters is 1 m = 100 cm

And the conversion from centimeters to millimeters is 1 cm = 10 mm

Add zeros and you get 1000 mm

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Answer:

Examples are:

Angle ABC is 65 degrees and Angle DEF is 25 degrees.

Angle MNO is 50 degrees and Angle XYZ is 40 degrees.

Step-by-step explanation:

Complementary angles are any two angles that when added together equal 90 degrees.   Complementary angles do not have to be next to each other, but they must total 90 degrees.

Answer:

y= 1.6

Step-by-step explanation:

First you make x=0 and then since x=0 you plug it in the equation

11-5y=3+6(0)

11-5y=3

now you swing the 11 to the other side

-5y=3-11

-5y=-8

now you divide -8 by -5 to isolate the variable

y= 1.6

Answer:33=y

Step 64u to 2y you get 66y the. -2+4 and you get 2 which is 66y=2. Now divide 66 by two to get 33=y

Answer:

x+46=1,191 is the equation to solve it you need to do: x+46=1,191

-46 -46 and you would get

x=1145

To find the number of books the library had last year, we can set up an equation: x + 46 = 1,191. By isolating x, we find that the library had 1,145 books last year.

To find the number of books the library had last year, we can set up an equation based on the given information. Let x represent the number of books the library had last year. Since the library acquired another 46 books over the summer, the total number of books is now 1,191. We can set up the equation:

x + 46 = 1,191

To find the value of x, we need to isolate it on one side of the equation. By subtracting 46 from both sides, we get:

x = 1,191 - 46 = 1,145

Therefore, the library had 1,145 books last year.

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Answer:

{ (7+3) • 5-4} ÷2+2​

7 + 3 = 10

5 - 4 = 1

10 x 1  = 10

10 divided by 2 = 5

5 + 2 = 7

7 is your ansswer

Answer:

25

Step-by-step explanation:

For this, you would use PEMDAS.

PEMDAS stands for parenthesis, exponents, multiplication, division, addition and subtraction. That is the order that you would do those steps.

So first, you would do what is inside the parenthesis, 7+3 which is equal to 10.

So then, you would have { 10• 5-4} ÷2+2.

You next step would be to multiply 10 and 5. This would give you 50.

So your equation would be {50-4}÷2+2

The next step would be to subtract 4 from 50 which would give you 46. And the next step is to divide 46 by 2 which is 23. And the last step would be to add 2 to 23, which is 25.

So, your answer is 25.

Answer: 11/4

Step-by-step explanation: When we are trying to find the reciprocal of a fraction, we just flip the fraction so that our numerator is on the bottom and our denominator is on the top.

In this case, we can change 4/11 to 11/4 by flipping the fraction.

Therefore, the reciprocal of 4/11 is 11/4.

Greetings!

In division, the number being divided is considered the dividend, and the number dividing is called the divisor. The answer is the quotient.

A total that is divided into equal groups is called the dividend.

Hope this helps!

Answer:

A. [tex]\frac{-5}{8}+(\frac{1}{8}+\frac{1}{2})[/tex]

B. [tex]\frac{-5}{8}+(\frac{5}{8})[/tex]

D. [tex]\frac{-5}{8}-(\frac{-1}{8}+(\frac{-1}{2}))[/tex]

Step-by-step explanation:

- Mike watches a caterpillar climbing on a tree trunk

- He writes the expression [tex]\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})[/tex]

- We need to find the equivalent expressions to this expression

A.

∵ The expression [tex]\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})[/tex] has a

   common sign negative in the bracket

∴ [tex]\frac{-5}{8}-(-)(\frac{1}{8}+\frac{1}{2})[/tex]

∵ (-)(-) = (+)

∴ [tex]\frac{-5}{8}+(\frac{1}{8}+\frac{1}{2})[/tex]

∵ The expression [tex]\frac{-5}{8}+(\frac{1}{8}+\frac{1}{2})[/tex] is

   equivalent to the expression [tex]\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})[/tex]

B.

∵ In the expression [tex]\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})[/tex], lets

  add the two terms in the bracket

  [tex](\frac{-1}{8}-\frac{1}{2})=(\frac{-1}{8}-\frac{1(4)}{2(4)})=(\frac{-1}{8}-\frac{4}{8})=(\frac{-5}{8})[/tex]

∴ The expression = [tex]\frac{-5}{8}-(\frac{-5}{8})[/tex]

∵ (-)(-) = (+)

∴ The expression = [tex]\frac{-5}{8}+(\frac{5}{8})[/tex]

∴ The expression [tex]\frac{-5}{8}+(\frac{5}{8})[/tex] is equivalent to

   the expression [tex]\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})[/tex]

D.

∵ In the expression [tex]\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})[/tex], we can

  write the bracket as [tex](\frac{-1}{8}-\frac{1}{2})=(\frac{-1}{8}+(\frac{-1}{2}))[/tex]

  because (+)(-) = (-)

∴ The expression [tex]\frac{-5}{8}+(\frac{5}{8})[/tex] is equivalent to

   the expression [tex]\frac{-5}{8}-(\frac{-1}{8}+(\frac{-1}{2}))[/tex]

* The equivalent expressions are A , B and D

The equivalent expressions to [tex]-5/8 - (-1/8 - 1/2)[/tex] are [tex]-5/8 + (1/8 + 1/2)[/tex], [tex]-5/8 - (-1/8 + (-1/2))[/tex], and [tex]-5/8 + (1/8 - 1/2),[/tex] which correspond to options A, D, and E, respectively.

The expression -5/8 - (-1/8 - 1/2) involves the subtraction of a negative number, which is equivalent to addition. We deal with the inner parentheses first, redistributing the minus sign to both terms inside. To find equivalent expressions, we change the subtraction of a negative to addition and check which options comply:

Options B, C, and F are not equivalent to the original expression as they either do not adjust the signs correctly or do not respect the original arrangement of terms.

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Answer:

Step-by-step explanation:

Answer:Length: 27m

Step-by-step explanation:

The length of the rectangular field is 27 m.

The area of a rectangle is the product of length and width.

[tex]\rm{ Area\ of\ rectangle = Length \times width[/tex]

As given to us the shape of the field is rectangular, also, the width of the field is 6 m. therefore,

[tex]\rm{Area\ of\ rectangular\ field= Length \times width[/tex]

[tex]162\ m^2 = Length \times 6\ m\\\\\dfrac{162\ m^2}{6\ m} =Length\\\\ Length=\dfrac{162\ m^2}{6\ m}\\\\Length = 27\ m[/tex]

Hence, the length of the rectangular field is 27 m.

Learn more about Rectangle:

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When you divide 1060 by 48, your answer will be 22.08333... (repeated decimal) but when rounded, it will either be 22, 22.1, or 22.08 (just for rounding, you do not have to put this in.)

Hope this helped!

Nate

Answer:

22.0833333333 or 22.083 with the line above 3

Step-by-step explanation:

22.0833333333 or 22.083 with a line above the 3 because 1060 divided by 48 is 22.0833333333 repeating 3s

Answer:

Step-by-step explanation:

3(4x + 5) + 2          use the distributive property: a(b + c) = ab + ac

= (3)(4x) + (3)(5) + 2

= 12x + 15 + 2         combine like terms

= 12x + (15 + 2)

= 12x + 17

Answer: 12x + 17

Step-by-step explanation:

First, distribute the 3 to the values within the parentheses.

3 * 4x = 12x

3 * 5 = 15

The expression now becomes 12x + 15 + 2. Now you can combine like terms by adding 15 and 2, since they both have no variable.

12x + 15 + 2

12x + 17

Therefore, the final answer is 12x + 17.