Which statements apply to the expression (3/5^3) cubed? Check all that apply.

Answers

Answer 1

Answer:

The true statements are

3/5 is the base

3 is the exponent

(3/5)³ = 3/5 × 3/5 × 3/5

(3/5)³ = 27/125

Step-by-step explanation:

Let a and b be any integer, given the expression;

[tex]a^b[/tex]

a is the base

b is the exponent

Similarly if we have;

[tex]a^3[/tex]

This means we can multiply a in three places as shown;

[tex]a^3 = a \times a \times a[/tex]

Applying this to the given expression

[tex](\frac{3}{5} )^3 = \frac{3}{5} \times \frac{3}{5} \times \frac{3}{5} \\Also\\(\frac{3}{5} )^3 = \frac{3 \times 3 \times 3}{5 \times 5 \times 5} \\(\frac{3}{5} )^3 = \frac{27}{125}[/tex]

The base value will be 3/5 and the exponent is 3


Related Questions

A radio station announces one listener's name between 8:10:00 and 8:21:59 every morning. If you turn the radio on at 8:18:00, what are the chances that you missed the announcement? Round your answer to the nearest hundredth.

Answers

Answer:

[tex]Pr = 0.67[/tex]

Step-by-step explanation:

Given

[tex]Start = 8:10:00[/tex]

[tex]End = 8:21:59[/tex]

[tex]You = 8:18:00[/tex]

Required

Chances that you missed the appointment

First, calculate the number of minutes of the radio station

[tex]n = End - Start[/tex]

[tex]n = 8:21:59 - 8:10:00[/tex]

[tex]n = 11\ min\ 59\ secs[/tex]

Convert to seconds

[tex]n = 719[/tex]

Since you turn on at 8:18:00, then you've missed the broadcast from the start till 8:18:00

So, we have:

[tex]Missed = 8:17:59 - 8:10:00[/tex]

[tex]Missed = 7\ mins\ 59\ secs[/tex]

Convert to seconds

[tex]Missed = 479[/tex]

The probability that you missed is:

[tex]Pr = \frac{Missed}{n}[/tex]

[tex]Pr = \frac{479}{719}[/tex]

[tex]Pr = 0.67[/tex]

Hi guys can some one help me with this question pls this is kinda hard pls upload in a paper i need all answer i will give them 100 points pls


note: anyone give answer wrong answer for points reporte to moderator

Answers

Answer:

Step-by-step explanation:

what is the value of x? 5x+2=9x-38

Answers

Answer:

10

Step-by-step explanation:

5x+2=9x-38

-4x=-40

x=10

2=4x-38
40=4x
x=10
so the value of x is 10

g(n) = n2+ 2; Find g(3)

Answers

Answer: 8

Step-by-step explanation: in this problem n=3 so you are to substitute 3 in for the variable n.

3*2+2

3*2=6

6+2=8

g(3)=8

Hope this helps (^_^)

Answer:

8

Step-by-step explanation:

g(3) means to plug 3 in as the n-value

g(3)= (3)2+2

=6+2

g(3)=8

Magan recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Eighth Grade Students
Instrument # of Students
Instrument # of Students
11
11
Guitar
Bass
Drums
Keyboard
8
8
Guitar
Bass
Drums
Keyboard
13
15
13
13
Based on these results, express the probability that a seventh grader chosen at
random will play the guitar as a fraction in simplest form.

Answers

Answer:

11/40

Step-by-step explanation:

Don't ask I just went to see the solution but that's the answer

Answer:7/18

Step-by-step explanation:

5(2x-1) expanded
Please help

Answers

Answer:

the answer would be 10x-5

Step-by-step explanation:

Because u multiply the 5 by each number within the parentheses.

Does the tallest can always hold the greatest volume? Explain your answer!

Answers

Alrighty, so,  you know how young children often believe that a taller container will have a greater volume than a shorter container? Even after seeing that both containers hold the same amount, some children will still think the taller container holds more. It may take measuring the water a few times before they get it.

If it overflows, the first container is bigger, or is able to hold more water. If all of the water from the first container can be poured into the second container without completely filling it, then the second container holds more water.

The tallest container holds the most liquid. Identical containers can have a different capacity.

Two angles x and y are complementary - which means their
angles add up to 90 degrees. Angle y is 20 degrees less
than angle x. Find the measure of each angle.

Answers

Answer:

X=55° Y=35°

Step-by-step explanation:

X+Y=90°

Y= x-20

(X-20)+X=90°

2X-20=90°

2X=110°

X=55°

55°+Y=90°

Y=35°

12° is the correct answer

given the function f(x)= √x+7, find the value of x when f(x)=1

Answers

f(x) = 1, so we make the entire equation equal 1.

1 = sqrt(x) + 7

To make x by itself subtract 7 from both sides

-6 = sqrt(x)

Square both sides to remove sqrt from x.

36 = x

The value of x is 36

y=x + 4 and 2y = -2x - 8
What are the intercepts of the line y=x+4
x-value of x-intercept
|
y-value of y-intercept

Answers

Socratic is a really good app for these type of questions! I definitely recommend. For science too!

Find all the missing angles: a, b, c, d.

Explain if you can, if it’s right I’ll give BRAINLIST.

Answers

Answer:

a= 180-60-55=65

we know that the angle of a flat(?) ground would be 180, so we can take away the 60 and 55 to find a.

b=180-90-65=25

the sum of interior angle of a triangle would be 180, now we know what a is, also the right angle is 90, now we can take away the 90 and 65 to find b.  

c=25

c is 25, because two angles on both sides of a X is the same

WILL GIVE BRANLIEST HELP PLEASE!

Answers

I believe since you are looking for the angle of M<ABC, you just add both 120 and 25 together, since they practically share a point.

So 120 + 25 = 145

So I guess 145 would be your answer.

I remembered this type of problem from Geometry.

a cylindrical paint can has a diameter of 12 centimeters and a hieght of 16 centimeters. What is the colsest to the volume of the paiint can in cumbic meters

Answers

Answer: [tex]1809.792\ m^3[/tex]

Step-by-step explanation:

Given

The diameter of the cylinder is [tex]d=12\ cm[/tex]

height of the cylinder is [tex]h=16\ cm[/tex]

The volume of a cylinder is given by

[tex]V=\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\pi \times 6^2\times 16\\\Rightarrow V=3.142\times 576\\\Rightarrow V=1809.792\ m^3[/tex]

The volume of the cylinder is [tex]1809.792\ m^3[/tex]

Suppose that whether it rains tomorrow depends on past weather conditions only through the last 2 days. Specifically, suppose that if it has rained yesterday and today, then it will rain tomorrow with probability .8; if it rained yesterday but not today, then it will rain tomorrow with probability .3; if it rained today but not yesterday, then it will rain tomorrow with probability .4; and if it has not rained either yesterday or today, then it will rain tomorrow with probability .2. Over the long term, what proportion of days does it rain

Answers

Answer:

The answer is "0.425".

Step-by-step explanation:

The  T be a requirement today that such rains.

The Y be a situation yesterday that now it rained.

The O is a condition for tomorrow to rain.

[tex]P(O| (Y\ AND \ T)) = 0.8\\\\P(O|(Y \ AND \ NOT\ (T)) =0.3\\\\P( O|(NOT \ (Y)\ AND\ T)= 0.4\\\\P( O| NOT\ (Y) \ OR \ NOT \ (T)) =0.2[/tex]

There Arena and morrow overview To Aspects Which will rain:

[tex]Y\ AND \ T, Y \ AND \ NOT \ (T),\ NOT\ (Y) \ AND\ T, \ NOT(Y)\ OR \ NOT(T)[/tex]

Each has the option of [tex]\frac{1}{4}[/tex] INDEPENDENTLY happening.

Its possibility of tomorrow's rain is:

[tex]P(O) = P(O | Y\ AND\ T) P(Y\ AND\ T) + P(O|(Y \ AND \ NOT\ (T))[/tex]

       [tex]P((Y\ AND \ NOT\ (T)) + P(O|(\ NOT\ (Y) \ AND \ T))P(\ NOT\ (Y) \ AND\ T) \\\\+ P( O| \ NOT\ (Y)\ OR\ NOT\ (T)) P(\ NOT\ (Y)\ OR\ NOT\ (T))\\\\[/tex]

      [tex]=0.8\times \frac{1}{4} +0.3\times \frac{1}{4}+0.4\times \frac{1}{4}+0.2\times \frac{1}{4}\\\\ =\frac{1}{4}(0.8+0.3+0.4+0.2)\\\\= \frac{1.7}{4}\\\\= 0.425[/tex]

I need help with this math problem please!

Answers

AB is most likely 8 because you can solve for the missing half length with Pythagorean theorem which gives 4 and then double because of the inherent properties of the lines

Can u guys help me plz?

Answers

the answer would be a


The objects shown above have the same altitude measurements.
O A. True
O B. False

Answers

Answer:

False

Step-by-step explanation:

Because the red line on the right is shorter then the one on the left, hope this helps.

Danny charted the low temperatures over an 8 week period for a school project. The temperatures were: 34, 34, 27, 38, 48, 23, 42, 34. What was the average temperature of the 8 week period?

Answers

Answer:

35

Step-by-step explanation:

i think

Answer:

35

Step-by-step explanation:

solve the inequality |2x-3|<7

Answers

Answer:

ɪ ʟᴏᴠᴇ ʏᴏᴜ sᴏ ᴍᴜᴄʜ ᴘʟssssss

Triangle ABC has coordinates A(0, 1), B(0, 2), and C(3, 2). If ΔABC ≅ ΔEDF, what is the measure of DF?

Answers

Answer:

I think the answer is option 2

3 is the correct choice

Describe the correct answer to this problem including units what is the volume of the figure

Answers

Step-by-step explanation:

height = √6.5² - 2.5² = 6ft

NO LINKS!

Select the correct answer from each drop-down menu.

Consider the end behavior of the function
g(x) = | x-2 | -3

As x approaches negative infinity, f(x) approaches
[BLANK] infinity

Options :
Negative, Positive

As x approaches positive infinity, f(x) approaches [BLANK] infinity

Options :
Negative, Positive

Answers

Answer:Function to be graphed is,

h(x) = 2(x - 3)²

Function 'h' is a quadratic function.

Since, the coefficient of the leading term (term with the highest power) is positive, parabola will open upwards.

Both the ends of the parabola will be upwards (towards positive infinity).

As x approaches to negative infinity, h(x) approaches to positive infinity.

As x approaches to positive infinity, h(x) approaches to positive infinity.

Step-by-step explanation:

For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form.


PLEASE show me how to put them in the box

Answers

Answer:

c=4√2

Step-by-step explanation:

Sine the triangle is a right triangle you can use the Pythagorean theorem. a^2+b^2=c^2

(4)^2+(4)^2=c^2

16+16=c^2

32=c^2

c=√32

c=4√2

Find the mean and median of this list: 21, 18, 24, 19, 18, 18, 18, 19, 21, 24.

Answers

Answer: mean-20 and median-(19+19)/2 = 19

Step-by-step explanation:

Answer:

Mean→ 20

Median→ 19

Step-by-step explanation:

Mean:  is the sum divided by the number of terms.

Median: Arrange the numbers in ascending order and the median is the middle value.

✧༝┉┉˚*❋ ❋ ❋*˚┉┉༝✧

hope it helps..

have a great day!!

find the slope line through
(-6,-13) and (3,-1)
A,3/4
b. 3/4
C. 43
D-4/3

Answers

the answer would be a
Slope is 1.33 and y int is -5

Type the integer that makes the following addition sentence true:
-6 ??? = -8

Answers

Answer:

-2

Step-by-step explanation:

-6+x=-8

+6      +6

x=-2

DOUBLE CHECK

-6+(-2)=-8

-6-2=-8

True ✔

---

hope it helps

9876544567876+0987654456787654567876587654567876

Answers

Answer:

9.8765446e+32

im smart brainlest plz

Step-by-step explanation:

Answer:

9.877x10`32

Step-by-step explanation:

The fact that I actually spent time to put that into my calculator

need help please !!!!!!!!!!!!​

Answers

Answer:

160,000,000,000,000

Step-by-step explanation:

M= 200,000,000,000,000

P= $40,000,000,000,000

200,000,000,000,000 - 40,000,000,000,000=

160,000,000,000,000

All you have to do is do 10x10 14/13 times or cause it's 10 just add 14/13 zeros

Answer:

(2×10^14)/(4×10^13) = 5

Star M is 5 times farther from earth than Star P.

Evaluate the expression when h = 12, p = 7

4h −2p −10

Answers

Answer:

48-14-10= 24

Step-by-step explanation:

just put those numbers that corresponds with the letters.

Find the value of x.

Answers

Answer:

5

Step-by-step explanation:

Using pythagoras theorem

Answer:

4056 is the correct answer I think

Step-by-step explanation:

13×13×24=4056

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