select all the expressions that are equivalent to 16^5/2

Select All The Expressions That Are Equivalent To 16^5/2

Answers

Answer 1

Answer:

A, C, E

Step-by-step explanation:

[tex] 16^{\frac{5}{2}} = 16^{\frac{1}{2} \times 5} = (\sqrt{16})^5 = \sqrt{16^5} = 1024 [/tex]

A. 4^5 = 1024   Yes

B. 8^5    No

C. 4^5    Yes

D. [tex] 16^{\frac{2}{5}} [/tex]    No

E. [tex] 16^{2 + \frac{1}{2}} = 16^{\frac{5}{2}} [/tex]   Yes

F. [tex] 16^{\frac{11}{2}} [/tex]   No


Related Questions

find four rational number between -1/7 and 2/7...​

Answers

Rational numbers are numbers which can be expressed as a fraction or in decimals. Integers, Whole numbers, Natural numbers are rational.

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

Rational numbers between -1/7 and 2/7 : -

-0.1-0.0500.050.10.150.20.25

Make a number line and find the numbers between the two given numbers.

find the 24th term of the arithmetic sequence whose common difference is d=5 and whose first term is a1=2

Answers

Answer:

94

Step-by-step explanation:

a1+ 23d =2+23*4= 94

94 is the 24 th term

In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band

Answers

Answer:

whats rhe question itdoesntsay

Mrs. smith has $1500 in a retirement account earning 5% interest. each year she makes an additional deposit of $500 to her account. after 3 years, what would her account balance be?

Answers

Answer:

$3,312.69

Step-by-step explanation:

What she started with: $1500

Year 1: 1500 + 1500(.05) + 500 = $2,075

Year 2: (2.075)1.05 + 500 = $2,678.75

Year 3: (2678.75)1.05 + 500 = $3,312.69

Find the slope of the line that is parallel and perpendicular to the following equation.
-5x - y = 1

Answers

Answer:

slope of perpendicular: [tex]\sf \bold{\frac{1}{5} }}[/tex]

slope of parallel: -5

rewrite in slope intercept form:                           [ y = mx + b ]

-5x - y = 1-y = 1 + 5xy = -5x - 1

comparing with y = mx + b       [ where m is slope, b is y-intercept ]

Parallel slope is same

formula: m₁ = m₂

m = -5

slope of parallel: -5

Perpendicular slope is negatively reciprocal

formula: m₁ = -(m₂)⁻¹

m₁ = -(-5)⁻¹m₁ = -(-1/5)m₁  = 1/5

slope of perpendicular: 1/5

Answer:

Slope of the line that is parallel: -5

Slope of the line that is perpendicular: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

-5x - y = 1 <== add 5x to both sides

+5x      +5x

-y = 5x + 1 <== divide both sides by -1

/-1      /-1

y = -5x - 1

The slope of the line that is parallel to this line is -5.

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-5)

2. Flip it (-1/5)

3. Change the sign (1/5)

For a slope of -5, the reciprocal would be: [tex]\frac{1}{5}[/tex]

Hope this helps!

Which temperature during the week is farther from 0? Explain how you decided this using absolute value

Answers

Answer:

The farthest temperature from zero during the week is 5 °F because it's absolute value, 5, is the highest out of all the other numbers.

Step-by-step explanation:

What is the value of y in the equation 6 + y = −3? (1 point) Group of answer choices −3 −9 3 9

Answers

Answer:

y= -9

Step-by-step explanation:

y+6=-3

subtract 6 from both sides

y=-9

Answer:

y=-9

Solution:First, subtract 6 from both sides.6+y=-3Ory+6=-3Why subtract? Because 6 is added to y, and we need to use the opposite operation. Remember, our goal is to find the value of y.Subtract:y=-3-6y=-9We have found the value of y; it's equivalent to -9.

Hope it helps.

Do comment if you have any query.

can someone please help me with this question

Answers

Answer:

B. 15 inches

Step-by-step explanation:

you multiply 6 x 5 since those are the dimensions of the triangles which equals 30 then you divide by 2 to get an answer of 15

Answer:

i would say A.  10in

Step-by-step explanation:

Find the coordinates of A.

Answers

Answer:

(-4, 1)

Step-by-step explanation:

Coordinates on the plane are written (x, y), meaning you write where the point is located on the x-axis (across) and then you write where the point is located on the y-axis (up and down).

You can see that A's location on the x-axis is -4, so now we have (-4, y). We can also see that A's location on the y-axis is 1, so we have (-4, 1) as our coordinates of A.

I hope this helps! Have a lovely day!! :)

How did Mandela get the name “Nelson?”

Answers

Answer:

On the first day of school his teacher, Miss Mdingane, gave each of the students an English name. This was the custom among Africans in those days and was undoubtedly due to the British bias of education. That day, Miss Mdingane told him that his new name was Nelson.

Triangle JKL has vertices J(-4, 4), K(-1, 3), and
L(-2, 1). Graph the figure and its rotated image after a
clockwise rotation of 90° about the origin. Then give the
coordinates of the vertices for triangle J'K'L'.
K
o




NO LINKS

Answers

Answer:

J(0,6)

K(-1,3)

L(-3,4)

Step-by-step explanation:

Find the surface area of the rectangular prism.
7 mi
4 mi
2 mi
Answer:
mi?
Suteri Anar

Answers

Answer:

Right rectangular prism

Solve for surface area

A=100

l Length

7

w Width

4

h Height

2

Solution

A=2(wl+hl+hw)=2·(4·7+2·7+2·4)=100

I need help on nine and 10 instructions say to solve these equations by cross multiplying

Answers

Answer:

  9.  a = -1

  10.  b = 20

Step-by-step explanation:

The term "cross multiplying" is used to describe the appearance of the result of multiplying both sides of the equation by the product of the denominators. The result is the left numerator is multiplied by the right denominator, and the right numerator is multiplied by the left denominator. The property of equality that supports this is the multiplication property of equality, which tells you the values of the variables are unchanged if you multiply both sides by the same thing. That multiplier is chosen so that it cancels the denominators.

__

9.

  [tex]\dfrac{2a-5}{3a-4}=\dfrac{2a-3}{3a-2}\\\\(3a-2)(2a-5)=(3a-4)(2a-3)\qquad\text{"cross multiply"}\\\\6a^2 -19a +10=6a^2-17a+12\qquad\text{expand}\\\\-2=2a\qquad\text{add $19a-6a^2-12$}\\\\\boxed{a=-1}\qquad\text{divide by 2}[/tex]

__

10.

  [tex]\dfrac{b-2}{b-6}=\dfrac{b+2}{b-4}\\\\(b-4)(b-2)=(b-6)(b+2)\qquad\text{"cross multiply"}\\\\b^2-6b+8=b^2-4b-12\qquad\text{expand}\\\\20=2b\qquad\text{add $6b+12-b^2$}\\\\\boxed{b=20}\qquad\text{divide by 2}[/tex]

_____

Additional comments

Here are the answer checks:

  9. (2(-1) -5)/(3(-1)-4) = (2(-1)-3)/(3(-1)-2) ⇒ -7/-7 = -5/-5 . . . yes

  10. (10 -2)/(10 -6) = (10 +2)/(10 -4) ⇒ 8/4 = 12/6 . . . yes

__

Sometimes this method of solving the problem will result in extraneous solutions. Those will generally be values of the variable that make one or more of the denominators be zero. You must be careful to exclude those values from any possible solution set.

A student clamied that the number -4 is not rational because it is not a ratio of two integers. Do you agree or disagree?​

Answers

Answer:

I disagree.

Step-by-step explanation:

An integer is a whole number ranging from -2,147,483,648 to 2,147,483,647.

A ratio of two integers with -4 could be -4/1, so -4 is a rational number.

Answer:

I agree.

Solution:Every single integer can be written as a fraction.Please remember that the set of integers includes negative numbers, zero, and positive numbers.In this case, we have a negative number (the minus sign in front of the number tells us it is negative).So, how can we write an integer as a fraction?Every integer can be written as a fraction with a denominator of 1.Therefore, the answer is:-4/1So, is 4 rational? Yes, because it can be written as a fraction.

Hope it helps.

Do comment if you have any query.

Give correct answer with good explanation. Please and thank you very much

Answers

Answer:

Step-by-step explanation:

V = B×H ⇒ H = V ÷ B

H = 729 ÷ 108 = 6.75 inches

Answer:

h = 6.75 inches

Step-by-step explanation:

The volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

here V = 729 and A = 108 , then

108h = 729 ( divide both sides by 108 )

h = 6.75 inches

Aashna thinks that the largest place value that 82.3 and 11.45 have in common is the tens place. Jake thinks that the largest place value they have in common is the tenths place.

Answer the following questions with complete sentences:

Who is correct, Aashna or Jake?
Write how you would explain your answer to the person who answered incorrectly.

Answers

Answer:

Aashna is correct

Step-by-step explanation:

I would explain it that the tens places are 8 and 1, which are about 7 apart

The tens places however are 3 and 4 which is closer.

A pattern of dots is shown below. At each step, more dots are added to the pattern. The pattern continues indefinitely. How many dots would be found in the 30th step? Explain a rule that you could use to find the number of dots in any given step.

Answers

Using an arithmetic sequence, it is found that 89 dots would be found in the 30th step.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

Researching the problem on the internet, it is found that the first step has 2 dots, the second has 5 dots, the third has 8 and so on, hence the first term is [tex]a_1 = 2[/tex] and the common difference is d = 3.

Then, the number of dots in the nth step is given by:

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

In the 30th step, the number will be given by:

[tex]a_{30} = 2 + 3(30 - 1) = 89[/tex]

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

Do number 1 pleaseeee

Answers

Answer:Let's start b writing down coordinates of all points:A(0,0,0)B(0,5,0)C(3,5,0)D(3,0,0)E(3,0,4)F(0,0,4)G(0,5,4)H(3,5,4)a.) When we reflect over xz plane x and z coordinates stay same, y coordinate  changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.A(0,0,0)ReflectingA(0,0,0)B(0,5,0)ReflectingB(0,-5,0)C(3,5,0)ReflectingC(3,-5,0)D(3,0,0)ReflectingD(3,0,0)b.)A(0,0,0)MovingA(-2,-3,1)B(0,-5,0)MovingB(-2,-8,1)C(3,-5,0)MovingC(1,-8,1)D(3,0,0)MovingD(1,-3,1)

Step-by-step explanation:


The table shows differences in political ideology, by education, for a random sample of voters. Use the data to solve the problem.

Find the probability that a randomly selected person from this group is conservative, given they have attended college
P(conservative attended college) = (Type an integer or a simplified fraction)

Answers

Answer:

9/33

Step-by-step explanation:

find the total of people that have attended college (9+12+12 =33)

now go to the number of people that are both college and conservative (9)

The probability that a randomly selected person from this group is conservative, given they have attended college; 9/33

What is the probability?

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

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

P(E) = Number of favorable outcomes / total number of outcomes

Given that table shows differences in political ideology, by education, for a random sample of voters.

To find the total of people that have attended college (9+12+12 =33)

P(conservative attended college) = (Type an integer or a simplified fraction)

To the number of people that are both college and conservative (9)

P(conservative attended college) = 9/33

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

Find the measure of the missing angle in this right triangle.

Answers

Answer:

Missing angle is 55°

Step-by-step explanation:

Given :-

One angle is 35° and one is 90°

To find:-

Measurement of other angle

Solution:-

We know that the sum of all angles in a triangle is 180°

and let the unknown angle be x

So ,

90°+35°+x = 180°

x = 180° - 125°

x = 55°

Find the volume - PLSS HELPP AND HURRY PLS

Answers

Answer:

264

Step-by-step explanation:

(11 x 6)/2 x 8 = 264

B x h = V

A circle has a diameter with endpoints at -2 + i and -6 -11i. What is the center of the circle?
O-8-10i
O -4 – 5i
O -2- 6i
O 2 +i

Answers

Answer:

- 4 - 5i

Step-by-step explanation:

The centre of the circle is the average of the endpoints

centre = (- 2 + i - 6 - 11i ) ÷ 2

          = (- 8 - 10i ) ÷ 2

         = - 4 - 5i

(show ur work) You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

answer choices

$8 per pound
$35 per pound
$5 per pound
$0.125 per pound

Answers

Answer:

8 dollars per pound

Step-by-step explanation:

40 divided by 5 will give you the $/lb

40/5=8 so its $8/lb

since there’s 40 dollars total, divide it by 5.
40/5 = 5

$5 per pound

When the 18 French class students randomly line up for a fire drill, what is the probability that Amy is first
and Zach is last in line?

Answers

The probability of Amy and Zach to line up at the frond and last in the line will be 11.11%

What is probability?

The chances of happening of any random event is called as the probability. Here in the question there are 18 class students we need find that the first and the last position should be occupied by Amy  and jach.

Total outcomes =18

favourable outcome=2

So the probability of the Amy and Zach to stand in the front and the last in the line will be

[tex]P=\dfrac{2}{18}=0.11=11\%[/tex]

Hence the  probability of Amy and Zach to line up at the frond and last in the line will be 11.11%

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

Choose all numbers that are greater than 12%
CHECK
1/8
1/12
23/200
7/50
15%
0.025

Answers

Answer:

1/8, 7/50, 15%,

Step-by-step explanation:

I asked siri

how do you solve -4 + y = 6 and y= 7x - -6 by substitution?

Answers

Answer:

by doing the math

Step-by-step explanation:

do (7x)-(-6) then the other problem and find out witch one is more

Answer:

x=4/7 and y=10

Step-by-step explanation:

To solve for x, we must isolate y in one of the equations to then insert it into the other equation. We can take the first equation, -4 + y = 6, and add 4 to both sides. This gives us y = 4+6, or y = 10. Since y is a variable, we can subsititute 10 into the second equation, y = 7x - (-6), giving us 10 = 7x - (-6). The minus negative six is equal to plus six. This gives us 10 = 7x +6. Now we can solve for x. Subtract 6 from both sides; 4 = 7x. Now to find x, we have to divide both sides by 7. This gives us x = 4/7.

Determine the equation of the line shown in the graph:
10
-8 -6 -4 -2.
-
I
y = -1
y = 0
Ox=-1
X=0

Answers

Answer:

X=-1

Step-by-step explanation:

As you can see the line is not intercepting at y also

Please help me with this question

Answers

Step-by-step explanation:

Insribed angle is half the measure of intercepted arc.

m∠CAB = 1/2mCDB

Since O is the center COB is the diameter of this circle.

The diameter splits the circle into two equal arcs. As the full circle is 360°,  each semicircle is 180°.

So

1/2mCDB = 1/2(180°) = 90°

And the angle measure is

m∠CAB = 90

Proved

Answer:

[tex]\overline{\sf COB}[/tex] is the diameter of circle O.

The angle on a straight line is 180°  ⇒  ∠COB = 180°

The angle at the center of a circle is twice the angle at the circumference:

⇒ ∠CAB = 1/2 of ∠COB = 1/2 x 180°

⇒ ∠CAB = 90°

The windows on the top row of a building are similar to the windows on the bottom row. Rectangle ABCD is similar to rectangle JKML.

If AB = 40 in., what is JK?

A- 40 in.
B- 30 in.
C- 20 in.
D- 10 in.

Answers

It would be 40 cause if AB are similar then JK should be the same as AB

Answer:

20 in.

Step-by-step explanation:

i just got it right on edge

anyone single i am lonely and sad... contact me if you are im a male 15 years old live in alabama hope your ready to go on a date :) but any way i am gonna add a math question to this

what is 1284×342÷9×62×4÷98×2÷106?

Answers

Answer:

2329.69 is the answer......

give me a brainliest

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