Given:
The given expression is [tex]\left(\frac{3}{10}\right)^{3}[/tex]
We need to determine the value of the given expression.
Value of the expression:
Let us determine the value of the expression.
The value of the expression can be determined by simplifying the given expression.
Applying the exponent rule, [tex]\left(\frac{a}{b}\right)^{c}=\frac{a^{c}}{b^{c}}[/tex], we get;
[tex]\left(\frac{3}{10}\right)^{3}=\frac{3^{3}}{10^{3}}[/tex]
Since, the value of 3³ is 27 and the value of 10³ is 1000, substituting these values, we get;
[tex]\frac{27}{1000}[/tex]
Hence, the value of the expression is [tex]\frac{27}{1000}[/tex]
Thus, Option b is the correct answer.
Answer:
[tex]\frac{27}{1000}[/tex]
Step-by-step explanation:
I got it right on edg. 2020.
What is the equation of the line that goes through the points (0, 7) and (1, 9)? y=7x+2 y=2x+7 y=7x+9 none of the above
Answer:
2x + 7
Step-by-step explanation:
0,7 is the y intercept, so plus 7 is a given
0,7 1,9 use rise/run
9-7/1-0 = 2/1
so 2x + 7
Maria is painting a mural on a brick wall. She is painting 4 circles with radii of 2 inches, 4 inches, 9 inches, and 14 inches. How much paint will she need to fill in all four circles?
She will need ____? square inches of paint for all the circles.
Answer:
932.58 in ^ 2 is needed
Step-by-step explanation:
What we need to do is calculate the area of all the circles and add it up, so we know how many square inches of paint are going to be needed.
We know that the area of a circle has the following formula:
A = pi * r ^ 2
there are 4 circles:
radio of 2 inches:
A = 3.14 * 2 ^ 2 = 12.56 in ^ 2
radio of 4 inches:
A = 3.14 * 4 ^ 2 = 50.24 in ^ 2
radio of 9 inches:
A = 3.14 * 9 ^ 2 = 254.34 in ^ 2
radio of 14 inches:
A = 3.14 * 14 ^ 2 = 615.44 in ^ 2
12.56 + 50.24 + 254.34 + 615.44 = 932.58
a total of 932.58 in ^ 2 is needed
What is the factored form of x2 – x – 2?
Answer:
(x-2)(x+1)
Step-by-step explanation:
x²-x-2 can be factored into:
(x-2)(x+1)
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Which of the following is a rational number? (1 point)
square root of 36, square root of 37, square root of 38, square root of 39
Group of answer choices
square root of 36
square root of 37
square root of 38
square root of 39
Answer:
Square root of 36.
Step-by-step explanation:
The square root of 36 = 6 so this is rational.
Recall that a rational number is one that can be written as a/b where a and b are not 0. 6 can be written as 6/1.
Answer:
6
Step-by-step explanation:
The square root of 36 is 6
Sally is making a recipe that needs 3 1/4 cups of sugar. Each scoop she adds contains 1/8 cup of sugar. How many scoops of sugar does she need to add for the entire recipe?
Answer:
26
Step-by-step explanation:
you are needing to find out how many 1/8 are there in 3 1/4...so you divide
13/4 divided by 1/8
13/4 x 8/1
104/4
26
Answer:
26 .
Step-by-step explanation:
what are the sum of the two pink angles?
Answer:
45 degrees
Step-by-step explanation:
28 out of the 35 magazines at the bookstore are woman's magazines.what percentage of the magazines are woman's magazines
Answer: 80% of the magazines are women's magazines
Step-by-step explanation: (28÷35)× 100/1= 80%.
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m 24 m24, start text, space, m, end text. With each swing, she travels along an arc that is half as long as the arc of the previous swing.
Answer:
24*(1-0.5^n)/0.5
Step-by-step explanation:
Find the sum and write it in standard form
(6x^3+3x^2+3)+(2x^3−5x+1)
Answer:
[tex] 8 {x}^{3} + 3 {x}^{2} - 5x + 4[/tex]
Step-by-step explanation:
[tex](6 {x}^{3} + 3 {x}^{2} + 3) + (2 {x}^{3} - 5x + 1) \\ = 6 {x}^{3} + 2 {x}^{3} + 3 {x}^{2} - 5x + 3 + 1 \\ = 8 {x}^{3} + 3 {x}^{2} - 5x + 4[/tex]
Please answer this correctly
Answer:
3:30 pm
Step-by-step explanation:
Games : 1 hour
Cleaning : 1 hour
Homework: 30 minutes
Total time
1+1+ 30 minutes
She started at 1 pm
1 + 2 hour 30 minutes
1 +2 hours = 3 pm
3+30 minutes = 3:30
Answer:
1:00 pm + 1 hr = 2:00pm
2:00pm + 1 hr= 3:00pm
3:00pm +30 mins = 3:30 pm
If 18 is more than 2 times a number is -10, what is the number
Answer:
-14
Step-by-step explanation:
-10-18=-28 -28/2=-14
What are the a b and c values of 3x^2-4x=20
Answer:
[tex]a = 3, b = -4, c = -20[/tex]
Step-by-step explanation:
Step 1: Find the a, b, and c values
[tex]ax^2 + bx + c = 0[/tex]
[tex]3x^2 - 4x - 20 = 0[/tex]
The a value is: 3
The b value is: -4
The c value is: -20
Answer: [tex]a = 3, b = -4, c = -20[/tex]
Can someone just please explain why in PEMDAS for example: 6 + 9 ÷ 3 × 7. Why do you do the division (9/3) before the multiplication (3x7) even though the order is “M”, “D” in the acronym?
Which is the graph of the linear inequality y < 3x + 1?
Answer:
The last graph, aka D.)
Step-by-step explanation:
Sorry for the extremely late response,
Hope this helps ppl of the future. ;))
~nxmbus
Solve for w in terms of v, x, and y.
v= -[tex]\frac{1}{X}[/tex] YW
W=
Answer:
W = - [tex]\frac{vx}{Y}[/tex]
Step-by-step explanation:
Given
v = - [tex]\frac{1}{x}[/tex] YW
Multiply both sides by x to clear the fraction
vx = - YW ( multiply both sides by - 1 )
- vx = YW ( divide both sides by Y )
- [tex]\frac{vx}{Y}[/tex] = W
if the mean is 120 and the standard deviation in 24 what is the score that is 3 standard deviations above the mean
Answer:
192
Step-by-step explanation:
If the mean is 120 and the standard deviation is 24, then 3 standard deviations above the mean would be 24(3) = 72 + 120 = 192.
192 is the score that is 3 standard deviations above the mean.
What is standard Deviation?The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Given:
Mean= 120
Standard Deviation = 24
So, the score for 3 standard deviations above the mean
= 24(3) + 120
= 72 + 120
= 192.
Hence, 192 is the score that is 3 standard deviations above the mean.
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Steven rolls a 6-sided nombre cube 3 times.What is the probability of rolling a multiple of 3 on all the rolls?
The probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube is [tex]\( \frac{1}{27} \)[/tex].
To find the probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube, we first need to determine the total number of outcomes and the number of favorable outcomes.
Total outcomes for each roll = 6 (since there are 6 sides on the cube).
Favorable outcomes for a multiple of 3 on each roll = {3, 6} (numbers divisible by 3).
Thus, the probability of rolling a multiple of 3 on each roll is 2 out of 6, or [tex]\( \frac{2}{6} \)[/tex].
Since each roll is independent, we multiply the probabilities of each roll:
[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \][/tex]
[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right)^3 \][/tex]
[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{1}{3} \right)^3 \][/tex]
[tex]\[ P(\text{multiple of 3 on all rolls}) = \frac{1}{27} \][/tex]
So, the probability of rolling a multiple of 3 on all three rolls is [tex]\( \frac{1}{27} \)[/tex].
Please help with what goes in these blanks
Answer:
See bold face answers below.
Step-by-step explanation:
If c^2 = a^2 + b^2, then the triangle is a right triangle.
If c^2 > a^2 + b^2, then the triangle is an obtuse triangle.
If c^2 < a^2 + b^2, then the triangle is an acute triangle.
Always keep "c" on the left side to avoid confusion when classifying.
The distribution of the values of a population is shown below, and a simple random sample is drawn from th
Based on this information alone, can the sample be used to make inferences about the population?
No, because the population values appear to be normally distributed.
No, because the population values do not appear to be normally distributed.
Answer:
C. Yes, because the population values appear to be normally distributed.
Step-by-step explanation:
Answer:
c) yes, because the population values appear to be normally distributed
Step-by-step explanation:
edge 2021
What is the sum of all the exterior angles for a 99-gon?*
Answer:
360
Step-by-step explanation:
The sum exterior angles of any number of side polygon is always 360
A number cube for a game has a volume of 64 mm
What is the length of one side of the cube?
3.27 mm
4 mm
6.46 mm
8 mm
Answer:
6.46 mm
Step-by-step explanation:
I need this quickly if at all possible. I´ll giver brainliest to the first answer!
A certain medication comes in the form of a capsule, as shown below. The fluid inside the capsule contains several ingredients, including the active medication.
What is the volume of the capsule? Round to the nearest tenth.
V = ____ mm3
If the density of the active medication in the liquid is
0.7 mg/mm3, how many milligrams of the active medication are in one capsule?
Round to the nearest tenth.
_____ mg
Answer:
mme 3 is 20
Step-by-step explanation:
i dont like to do work
Answer:
V= 103.9 mm^3 and 72.7 mg
Step-by-step explanation:
Edge
Solve:5m=0.95 solve this please
Answer:
m=0.19
Step-by-step explanation:
To work this out you would divide 0.95 by 5. this is because 0.95 is equal to 5*m and so so work out m you would divide 0.95 by 5.
[tex]0.95/5=0.19\\m=0.19[/tex]
Which number results in a true sentence in 0.475 ＜ ______ ? a.) 0.473 c.) 0.475 b.) 0.474 d.) 0.476
Answer:
D.) 0.476
Step-by-step explanation:
The < sign means 'less than'. The only thing that .475 is less than is .476
factor the expression 3x^2 - 15x
i will mark brainliest
Step-by-step explanation:
The table of three and x is common
So
3x ( x + 5)
Is the answer
Answer: -3
Step-by-step explanation: 3 times 4 - 15
Find the quotient z1/z2, of the complex numbers. Leave your answer in polar form.
z1 = 20( cos 54° + i sin 54°)
z2 = 5( cos 6° + i sin 69)
Choose the correct answer below.
A. 4(cos 48° + i sin 48°)
B. 4[(cos 54°- cos 6°)+i (sin 54°- sin 6°)]
c. 4{cos 9° + i sin 9°)
D. 4(cos 54° sin 6° + i sin 54° cos 6)
Answer:
A: 4(cos 48° + i sin 48°)
Step-by-step explanation:
The step by step working:
z1 = 20(cos 54° + i sin 54°)
z2 = 5( cos 6° + i sin 69°)
z1/z2 = (20/5)(cos 54° + i sin 54°)/(cos 6° + i sin 69°)
= 4[(cos 54° + i sin 54°)(cos 6° - i sin 6°)] / (cos^2 6° +sin^2 69°)
= 4[(cos 54° cos 6° - sin 54° sin 69°) + i(cos 54°sin 6° + sin 54° cos 6°)]
= 4(cos 48° + i sin 48°) (Using sum and difference identities)
The answer is A: 4(cos 48° + i sin 48°)
compounded monthly P=\$2,000 , r=3\% , t = 5years
To calculate the compound interest, use the formula A = P (1 + r/n)^(nt). For the given values, the final amount after 5 years of monthly compounded interest on $2,000 can be calculated.
Explanation:To calculate the compound interest, we can use the formula:
A = P (1 + r/n)^(nt)
Where:
A = final amount
P = principal amount ($2,000)
r = annual interest rate (3%)
t = time in years (5 years)
n = number of times the interest is compounded per year (12 for monthly compound interest)
Plugging in the values, we have:
A = 2000 (1 + 0.03/12)^(12*5)
Simplifying the equation will give us the final amount after 5 years of monthly compounded interest on $2,000.
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A word processing program requires a user to enter a 7-digit registration code made up of the digits 1,2,4,5,6,7 and 9. Each number has to be used, and no number can be used more than once. How many codes are possible?
Final answer:
To find the number of possible codes, we can use the concept of permutations. There are 7 digits to choose from and we need to select all of them. Therefore, there are 5,040 possible registration codes.
Explanation:
To find the number of possible codes, we can use the concept of permutations.
Since the code must be made up of 7 digits and each digit can only be used once, we can calculate the number of permutations of the 7 digits. The formula to use is nPr = n! / (n - r)!, where n is the total number of elements and r is the number of elements to be selected.
In this case, there are 7 digits to choose from and we need to select all of them.
So we plug in n = 7 and r = 7 into the formula:
nPr = 7! / (7 - 7)! = 7! / 0! = 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040
Therefore, there are 5,040 possible registration codes.
Eleven less than a number is more than seventeen.
Answer:
x-11 > 17
Step-by-step explanation:
You have to set the equation up as an equality, if you want the simplified answer it would be x > 28
Chris is putting a new baseboard in his room . The bed is 15 meters long and the 9/10 meters wide . What is the area of the baseboard?
Answer:
The area of the baseboard is 13.5m²
Step-by-step explanation:
Given data
Length of the bed L=15m
Width of of the bed B=9/10m
Area of the board A=?
We know that the area of the board
Area A=length x width
Substituting our given data we have
A=15*9/10
A=135/10
A=13.5m²
Hence the area of the board is 13.5m²
The area of the baseboard that Chris needs to install in his room, represented as a rectangle with length 15 meters and width 9/10 meters, is 13.5 square meters.
Explanation:In the field of Mathematics, to find the area of a rectangle (which is the shape being represented by the baseboard's dimensions that Chris is working with), you multiply the length by the width. Given that the length of the bed is 15 meters and the width is 9/10 meters, the area of the rectangular baseboard can be found by multiplying these values. So, area = 15 meters * 9/10 meters = 13.5 square meters. Therefore, the area of the baseboard that Chris needs to install is 13.5 square meters.
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