The value of 3' x10, when x = -2, can be
written in simplest form as a lb, where
a=
and b =
Answers
Answer:
[tex]a = 8[/tex] and [tex]b = 2[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[3]{x^{10}}[/tex]
[tex]x = -2[/tex]
Required
Express as: [tex]a\sqrt[3]{b}[/tex]
Substitute -2 for x in [tex]\sqrt[3]{x^{10}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{(-2)^{10}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{1024}[/tex]
Express 1024 as 2^10
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{10}}[/tex]
Apply law of indices:
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9+1}}[/tex]
Apply law of indices: Split
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}*2^1}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}} *\sqrt[3]{2^1}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}} *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 2^{9*\frac{1}{3}}} *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 2^3 *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 8\sqrt[3]{2}}[/tex]
By comparison:
[tex]a = 8[/tex] and [tex]b = 2[/tex]
Answer:
a=-8 and b=-2
Step-by-step explanation:
Edge
Related Questions
A random sample of 40 business days from the past year was taken from the store
records. For each day, the net income was determined. The sample standard
deviation was found to be $57.19. How many MORE business days should be
included in the sample to be 95% confident that the sample mean i of daily net
incomes is within $10 of the population mean p of daily net incomes?
Answers
Answer:
20,00,00
Step-by-step explanation:
Please help this is it
Answers
Answer:
2t+5
Step-by-step explanation:
what does the word "of" mean?
A. in addition to
B. multiply by
C. divided by
Answers
Answer:
B. multiply by
Help me pls pls pls
Answers
Answer / Step-by-step explanation:
4 * (2 + 3) - 12
To get our final answer, we need to follow PEMDAS, which is :
Parenthesis
Exponent
Multiply
Divide
Addition
Subtraction
These mean that this is the order you will solve by what is in the question, let us start with the parenthesis.
(2 + 3) fits this description, therefore we add them together :
4 * 5 - 12
There are no more parenthesis and also no more exponents, so move onto multiplying.
4 * 5 - 12
20 - 12
Now subtract :
8
Find the value of x. If your answer is not an integer, express it in simplest radical form.
Answers
Step-by-step explanation:
[tex]4 \\ {x}^{2} = {16}^{2} + {14}^{2} \\ {x}^{2} = 256 + 196 \\ {x}^{2} = 452 = 2 \sqrt{113} = 21.26[/tex]
[tex]5 \\ {x}^{2} = {8}^{2} + {15}^{2} \\ {x}^{2} = 64 + 225 \\ {x}^{2} = 289 \\ x = 17[/tex]
20 X3/5 in simplest form
Answers
Answer:
12
Step-by-step explanation:
20 and donominator 5 cancel out
4*3=12
Answer: 12
Step-by-step explanatio
2X plus 7 for x equals five
Answers
Answer:
17
Step-by-step explanation:
If x equals 5, then you just do 2(5) + 7.
2×5=10 10+7=17
Pls help ASAP !!
which of the following statements must be true if GHI-JKL ?
1. The corresponding sides of the two triangles must be proportional.
2.The two triangles must have exactly one acute angle.
3.At least one of the sides of the two triangles must be parallel.
4.The sides of the triangles must have equal lengths.
5. The two triangles must be scalene.
6. None of the above.
Answers
Answer:
1. The corresponding sides of the two triangles must be proportional.
Step-by-step explanation:
Option 1, is the only statement that makes GHI = JKL true. If the triangles are congruent, it means that the sides have to be proportional.
The triangles GHI and JKL are similar, Δ GHI ≈ Δ JKL only if their two corresponding sides are proportional and one angle is also equal, so option 1 is correct.
What is the triangle?Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
The triangles GHI and JKL are similar, Δ GHI ≈ Δ JKL,
The condition for the similarity of the triangle are shown below,
Two triangles are said to be comparable if the ratio of one triangle's two sides to the two sides of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.
Thus, the sides have to be proportional.
To know more about Triangles:
https://brainly.com/question/16886469
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How do you create and solve equations in one variable given a real–world situation?
Answers
Step-by-step explanation:
1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)
ex: if x+9=32
subtract 9 from both sides to get rid of it
x=23
2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it
you could multiply by 3 on both sides:
x+9=69
x=60
Answer:
1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)
ex: if x+9=32
subtract 9 from both sides to get rid of it
x=23
2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it
you could multiply by 3 on both sides:
x+9=69
x=60
Hope this helps!
Step-by-step explanation:
please help me thank you in advance!
Answers
Answer:
x = √6/2
Step-by-step explanation:
Side a = 1.73205 --> √3
Side b = 1.22474 --> √6/2
Side c = 1.22474 --> √6/2
Laura buys an unfair coin online. The coin is supposed to land heads up 75% of the time. If this is true, what is the
probability that in 20 flips, the first 15 land heads up and the last 5 land tails up?
Answers
Answer:
C . (0.75) 15 x (0.25) 5
Step-by-step explanation:
Took the assignment in edge, it’s right
Its based off of the rule P(A and B) = P(A) x P(B) from multiplication rule for independent events.
The probability that in 20 flips, the first 15 land heads up and the last 5 land tails up is 0.000390625.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
If the coin is supposed to land heads up 75% of the time, then the probability of getting heads on a single flip is 0.75 and the probability of getting tails is 0.25.
To find the probability that in 20 flips, the first 15 land heads up and the last 5 land tails up, you can use the formula for the probability of independent events:
P(A and B) = P(A) × P(B)
where A and B are independent events, and P(A) and P(B) are the probabilities of events A and B occurring, respectively.
In this case, the probability of the first 15 flips landing heads up is P(A) = 0.75¹⁵, and the probability of the last 5 flips landing tails up is P(B) = 0.25⁵.
Therefore, the probability that in 20 flips, the first 15 land heads up and the last 5 land tails up is:
P(A and B) = P(A) × P(B) = (0.75¹⁵) × (0.25⁵) = 0.000390625
Learn more about probability here:
brainly.com/question/11234923
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Find the perimeter of the triangle with vertices D(5, 6), E (10, 9), and F(7, 11). Do not
round before calculating the perimeter. After calculating the perimeter, round your
answer to the nearest tenth.
The perimeter is
units.
Answers
Answer:
Perimeter of triangle = 14.82 approx.
Step-by-step explanation:
Given:
D(5, 6)
E (10, 9)
F(7, 11)
Find:
Perimeter of triangle
Computation:
Distance = √(x1-x2)² + (y1-y2)²
Perimeter of triangle = DE + EF + FD
Perimeter of triangle = √(5-10)² + (6-9)² + √(10-7)² + (9-11)² + √(7-5)² + (11-6)²
Perimeter of triangle = √25 + 9 + √9 + 4 + √4 + 25
Perimeter of triangle = √34 + √13 + √29
Perimeter of triangle = 5.83 + 3.6 + 5.3851
Perimeter of triangle = 14.8151
Perimeter of triangle = 14.82 approx.
(SAT Prep) Find the value of x
Answers
The cos of a pizza win the works is represented as a function of its diameter. The relationship is Where C is the cost in cents and d is the diameter of the pizza in centimeters. If the pizza costs $12.00. then what is a reasonable estimate for the diameter of the pizza? Fonotion
Answers
Answer:
no entendí pero alv XD ksjwwlw[qjaja[aoa\a'a[a=a,[sala;a
What is 2 1/4 - 1 2/5 please help me
Answers
Answer: 17/20=0.85
Step-by-step explanation:
LAST QUESTION!!! HELP MATH EXPERTSSS
Answers
Answer:
Y=4
Step-by-step explanation:
8*0+4=4
(x + 5)(x – 5)
Multiply
Answers
Answer:
[tex] {x}^{2} - 25[/tex]
Step-by-step explanation:
[tex](x + 5)(x – 5) \\ \\ = {(x)}^{2} - {(5)}^{2} \\ \\ = {x}^{2} - 25[/tex]
Answer:
x²-25
Step-by-step explanation:
To do a sum like this, break up the first bracket and multiply by the second (terms from the first bracket is in bold in first few steps for clarity):
(x + 5)(x – 5)
x(x-5)+5(x-5)
x²-5x+5x-25
x²-25
a circle has a radius of 2x inches. if the radius is multiplied by a factor of 3/8. what is the new area of the circle
Answers
Answer:
(PI x 3/4x square) inches
Step-by-step explanation:
A of a circle = pi times radius squared
A = pi times 3/4x - that is 2x times 3/8
A = 3.14 (or whatever you use for pi) x 3/4 x inches square
Does anybody know the answer's to, 2,3, and 4?
Answers
3, Infinite many solutions
4, (0,-3)
i hope i was able to help!! so sorry if i made a mistake
Subtract. Write your answer in simplest form.
6 3/4 - 2 3/20
Answers
Answer:
(6-2) (3/4-3/20)
4 ((3×20-3×4)/80)
4 48/80
4 3/5
what year is 40040040040049039qji34btuewrbgsnbbg snk g smart
Answers
How do you solve 2.5x + 10 = 50?
Answers
Answer:
I think the answered is x = 16 hope I right
Answer:
X = 16
Step-by-step explanation:
2.5x+10 = 50
distribute the ten to the other side by substracting
2.5x = 50-10
2.5x = 40
Now divide 2.5 on both sides
2.5x/2.5 = 40/2.5
x = 16
A car traveling 118 miles uses 4 gallons of gas. At this rate, how many miles can it travel using 13 gallons of gas
Answers
Answer:
12 miles per gallon
Step-by-step explanation:
I hope this helps
Step-by-step explanation:
118 miles = 4 gallons 118 ÷ 4 miles = 1 gallon29.5 miles = 1 gallonso, therefore( 29.5 × 13 )miles = 13 gallons383.5 miles = 13 gallonsMARK ME BRAINLISTFOLLOW MEA typical tip in a restaurant is 15% of the total bill. If the bill is $60, what would the
typical tip be?
The typical tip would be $
Answers
Answer:
$9
Step-by-step explanation:
15% is equal to 15/100
the word "of" means multiplication
15% of $60 is like saying:
15/100 * $60 = $9
A right triangle has side lengths 7, 24, and 25 as shown below.
Use these lengths to find cos B, tan B, and sin B.
I need helpppp
Answers
Answer:
I hope it helpss!!!!!!! :)
A line goes through the point (-8,9), and has a slope of 3/4
Write in form of a Ax + B and C for this line
Answers
Answer:
[tex]y=\dfrac{3}{4}x+15[/tex]
Step-by-step explanation:
Given that,
A line goes through the point (-8,9), and has a slope of 3/4.
We need to express in the form of Ax+B for this line.
We have, m = 3/4
So,
[tex]y=\dfrac{3}{4}x+B[/tex]
Put y = 9 and x = -8 in the above equation.
[tex]9=\dfrac{3}{4}(-8)+B\\\\9=-6+B\\\\9+6=B\\\\B=15[/tex]
So,
[tex]y=\dfrac{3}{4}x+15[/tex]
It is the required equation of the line.
A spinner with five equal-sized colored sections is spun with the results shown in the table. Based on the experimental probability, predict the number of blue results for 200 trials.
Red Orange Yellow Green Blue
15 16 14 19 16
40
32
20
16
Answers
What is the quotient and the remainder of 26÷7
Answers
Answer:
26/7 is 3 remander 7 or 3.71
Step-by-step explanation:
Answer:
Quotient = 3, Remainder = 5.
Step-by-step explanation:
Refer to the attached picture.
*
3) What is 40ab in expanded form?
Answers
Answer:
[tex]40*a*b[/tex]
Step-by-step explanation:
40ab is 40 multiplied by a multiplied by b
Which of the follow triangles is similar to APOR?
Answers
Answer:
D
Step-by-step explanation:
For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.
The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if
(a) the angle in X is congruent (same) as the angle in Y
(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y
For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.
So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)
Answer A: 12/15 simplifies to 4/5, wrong answer
Answer B: 9/12 simplifies to 3/4, wrong answer
Answer C: 6/10 simplifies to 3/5, wrong answer
Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2
We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.
We get 6/7! That is the correct answer, so D is the triangle similar to PQR.