Select the correct answer

Answer:

No

Step-by-step explanation:

Is [tex](x-4)[/tex] equivalent to [tex](x-4)2[/tex] ?

So let's solve [tex](x-4)[/tex] .

Since there are no like terms, the answer would be

[tex]x-4[/tex]

Let's move on to [tex](x-4)2[/tex]

[tex](x+-4)+(2)[/tex]

Now let's separate.

[tex](x)(2)+(-4)(2)[/tex]

This equals

[tex]2x-8[/tex]

Both answer were not the same so therefore they are not equivalent.

Hope this Helps!

Answer:

E. real numbers F. rational numbers

Step-by-step explanation:

-5/7

A. integers  no  a whole number that is positive or negative, non fractional

B. natural numbers    no  positive whole numbers, non fractional

C. irrational numbers  no   non repeating, non terminating decimals, cannot be written as fractions

D. whole numbers  no -  entire parts  non fractional

E. real numbers   yes- contains all rational and irrational numbers

F. rational numbers   yes- numbers that can be written as fractions

Answer:

E. real numbers

F. rational numbers

(see below)

Step-by-step explanation:

A. integers =  number that can be written without a fractional component

NO.

B. natural numbers = a whole, non-negative number.

NO.

C. irrational numbers = a number that can be expressed as an infinite decimal with no set of consecutive digits repeating itself indefinitely and that cannot be expressed as the quotient of two integers.

NO.

D. whole numbers = There is no fractional or decimal part. And no negatives.

NO.

E. real numbers  are the numbers which include both rational and irrational numbers. Rational numbers such as integers and fractions.

YES -5/7

F. rational numbers  =  is a number that can be expressed as the quotient or fraction -5/7 of two integers

YES -5/7

Answer:

12 arrangments, 2 blue carnations in each arrangement, 3 red carnations in each arrangment.

Step-by-step explanation:

We can find the gcd of 24 and 36, getting 12.

Therefore, there should be 12 total arrangements.

There are 24 blue carnations:

24 / 12 = 2 blue carnations in each arrangement.

There are 36 red carnations:

36 / 12 = 3 red carnations in each arrangment.

Answer:

The number of cuboids that will be needed to form a cube is 2625 cuboids

Step-by-step explanation:

To form a cube, we have;

The length = The height = The depth

The dimensions of the given cuboid = Length = 75 cm, the width = 35 cm, the depth = 21 cm.

Therefore;

The lowest common multiple of 75, 35, and 21, for the cuboid is given as follows;

75 = 5 × 5 × 3

35 = 5 × 7

21 = 3 × 7

Therefore, multiplying 75 by 7, we get;

75 × 7 = 525

Since 7, 5 and 3 are factors of 525, 35 and 21, can also be factors as we check;

525/35 = 15

525/21 = 25

Therefore, the cube will be;

The length of the cube will consist of 7 pieces of the cuboid, arranged with the side 75 cm facing the front

The depth of the cuboid will be 15 cuboids with the side 35 cm facing the sides

The height of the cuboid will be 25 cuboids with the side 21 cm high

The total number of cuboids is therefore;

7 × 15 × 25 = 2625 cuboids

The number of cuboids that will be needed to form a cube = 2625 cuboids.

Answer:

20 units

Step-by-step explanation:

Initial particle concentration = 80 units

Particles removed each hour = 50% of the remaining particles

To find:

Particle concentration after 2 hours = ?

Solution:

Particles removed in 1 hour = 50% of remaining particles

i.e. Particles removed in 1 hour = 50% of initial concentration

Particles removed in 1 hour = 50% of 80 = 40

Particles removed in next 1 hour = 50% of remaining particles

i.e. Particles removed in next 1 hour = 50% of concentration after 1 hour

Particles removed in next 1 hour = 50% of 40 = 20

Total particles concentration removed in 2 hours = 40 + 20 = 60 units

Therefore, particle concentration after 2 hours = Initial concentration - Total particle concentration removed in 2 hours

= 80 - 60 = 20 units

Answer:

-20 x^6

Step-by-step explanation:

(4x)(-x^2)(5x^3)

Multiply the numbers

4*-1 *5 = -20

Add the exponents

x^1 * x^2 * x^3

x^(1+2+3)

x^6

Multiply back together

-20 x^6

Answer:

The answer is

Step-by-step explanation:

(4x )( - x²)(5x³)

Expand the terms

That's

-4x³( 5x³)

Next multiply the numbers

That's

- 20( x³)(x³)

Using the rules of indices multiply the x's in the expression

That's

So we have

We have the final answer as

Hope this helps you

Answer:

$600 - $40 = $560

$560/ $25 = 22.4

this means he can have up to a total of 22 people at his party

Answer:

0.00588235294

Step-by-step explanation:

0.00588235294

Answer:

0.00588235294

Step-by-step explanation:

0.00588235294

0.00588235294

0.00588235294

0.00588235294

0.00588235294

0.00588235294

0.00588235294

0.00588235294

Answer:

i think it will be helpful for you

Answer:

-8ab -24asquared-16a

Thats gonna get u ur answer

Step-by-step explanation:

Answer:

-8ab -24a^2 -16a

simplfied form

-8a(b+3a+4)

Step-by-step explanation:

Another name for the set of natural numbers are counting numbers.

If there is a picture could you please add it to your question?

It will help me find the correct anwser faster for you!

Answer:

[tex]Cost = \$120 * 1 - \$120 * 0.25[/tex]

Step-by-step explanation:

Given

[tex]Cost = \$120 - 0.25(\$120)[/tex]

Required

Solve using distributive property

[tex]Cost = \$120 - 0.25(\$120)[/tex]

[tex]\$120[/tex] can be rewritten as [tex]1(\$120)[/tex]

So:

[tex]Cost = 1(\$120) - 0.25(\$120)[/tex]

Factorize:

[tex]Cost = \$120(1 - 0.25)[/tex]

Now, we can apply distributive property on the expression;

[tex]Cost = \$120 * 1 - \$120 * 0.25[/tex]

Hence, the above is an equivalent expression.

Solving further, we have

[tex]Cost = \$120 - \$30[/tex]

[tex]Cost = \$90[/tex]

Answer:

see below

Step-by-step explanation:

A circle is named by the point in the center.  

Circle C

A segment  is named by two points on the line.

Segment AD  and segment BC

A ray is a part of a line that has a fixed starting point but no end point.

Ray CE →  Arrow going from C to E

The vertex is in the middle of the angle name that has three letters

< CDA

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

Explanation:

S = sum of the salaries of the first 15 employees

S/15 = mean of the 15 salaries

S/15 = 2930

S = 15*2930

S = 43950

The 15 workers salaries add to 43950.

If we add on a new 16th salary of 3138, then the sum bumps up to

S+3138 = 43950+3138 = 47088

This is the sum of the 16 workers salaries. Divide this over 16 to get the new average

47088/16 = 2943

The new mean is 2943

It is larger than the old mean because the 16th salary is larger than the mean. Effectively this new salary pulls on the mean to make it larger. With very distant outliers, the mean is pulled a lot which often causes problems. So this is why the median is a better measure of center in those situations. Either that measure of center, or using a trimmed mean works as well.

Answer: 135, 45, and 135 are the three other angles

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

Explanation:

For a parallelogram, we'll have opposite angles with the same measure. So if one angle is 45 degrees, then the opposite angle is also 45 degrees. The other two angles are 180-45 = 135 degrees each. Adjacent angles in a parallelogram add to 180 degrees.

Answer:

Step-by-step explanation:

[tex]5x^2-x-4\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(5x^2+4x\right)+\left(-5x-4\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}5x^2+4x\mathrm{:\quad }x\left(5x+4\right)\\\mathrm{Factor\:out\:}-1\mathrm{\:from\:}-5x-4\mathrm{:\quad }-\left(5x+4\right)\\\\=x\left(5x+4\right)-\left(5x+4\right)\\\\\mathrm{Factor\:out\:common\:term\:}5x+4\\=\left(5x+4\right)\left(x-1\right)[/tex]

Answer:

This is the picture answer :)

Step-by-step explanation:

The equation of the line with the given slope and y-intercept is y=12x+2.

Given that, the slope of a line=12 and y-intercept=2.

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

Where, m=slope and b=intercept.

Now, substitute slope=12 and y-intercept=2 in y=mx+b.

That is, y=12x+2

Therefore, the equation of the line is y=12x+2.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

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Answer:

5/6 is:

Rational

Step-by-step explanation:

Natural-All positive integers (5/6 does not apply)

Whole-All positive integers and zero (5/6 does not apply)

Integer- All positive and negative whole numbers and zero (5/6 does not apply)

Rational-All integers, fractions, and non-repeating decimals (5/6 applies)

Irrational-A real numbers that are NOT rational (5/6 does not apply)

Answer:

x = 126

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

Given

[tex](x-1)^{\frac{2}{3} }[/tex] - 25 = 0 ( add 25 to both sides )

[tex](x-1)^{\frac{2}{3} }[/tex] = 25 ( raise each side to the power of 3 )

(x - 1)² = 25³ = 15625 ( take the square root of both sides )

x - 1 = [tex]\sqrt{15625}[/tex] = 125 ( add 1 to both sides )

x = 126

Answer:

126, -124

Step-by-step explanation:

The steps

Answer:

Step-by-step explanation:

Let's write a equation.

5 ft = 20 seconds

(five feet is reachable in 20 seconds)

Divide both sides by 5.

5/5=1

20/5=4

1 ft = 4 seconds

Let's say the destination is d and f is foot.

d = 4f

Isolate the variable by dividing each side by factors that dont contain variables

Answer: x=3

Answer:

A bearing is an angle, measured clockwise from the north direction. Below, the bearing of B from A is 025 degrees (note 3 figures are always given). The bearing of A from B is 205 degrees.

Answer as a fraction = 9/4

Answer in decimal form = 2.25

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

Explanation:

1/4 = 4/16 after multiplying top and bottom by 4

We have some number x such that

(4/16)x = 9/16

we can multiply both sides by 16 to clear out the fractions, getting 4x = 9

Then we divide both sides by 4 to get x = 9/4 = 2.25

Answer:

Step-by-step explanation:

x - 9/12 + 8/12 = 17/12

x - 1/12 = 17/12

x = 18/12= 3/2 = 1 1/2

Value of x = (4 / 3) which makes the given equation true.

" Variable is defined as the value which changes as per the condition act on it."

According to the question,

Given equation,

x - (3/4) + (2/3) = (17 / 12)

Convert all fraction into like fractions we get,

  x - (3/4) ×(3/3) +(2/3)×(4/4) = (17 /12)

⇒x - (9/12) + (8 /12) = (17 /12)

⇒x - (1/12) = (17 /12)

⇒x = (17/12) +(1/12)

⇒x= (18 /12)

⇒x= (3/2)

Hence, Value of x = (4 / 3) which makes the given equation true.

Learn more about variables here

https://brainly.com/question/15078630

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Answer:

1798 and 32798

Step-by-step explanation:

31000/100=310

310x5.8=1798

x = 8

cos60° = x/16

1/2 = x/16

2x = 16

x = 16 : 2

x = 8

Answer:

[tex]\Huge \boxed{x=8}[/tex]

Step-by-step explanation:

[tex]\sf \displaystyle cos(60\° ) = \frac{x}{16}[/tex]

Multiplying both sides by 16.

[tex]\sf \displaystyle 16 \cdot cos(60\° )= \frac{x}{16} \cdot 16[/tex]

Simplifying the equation.

[tex]\sf \displaystyle 16 \cdot \frac{1}{2} = x[/tex]

[tex]\sf 8=x[/tex]