Answers
The square root of two.
The simplified expression is 3(x√2 + √x), which means that the answer is (C) x²√2.
What is an expression?In mathematics, an expression is a combination of numbers, variables, operators, and functions that can be evaluated to produce a numerical value or another mathematical object such as a polynomial, equation, or inequality.
We can simplify the given expression by factoring out the greatest perfect square factor under each square root symbol. For the first term, √18x³, we can factor out √9x², which is 3x√2. For the second term, √9x, we can factor out √9, which is 3. Thus, we have:
√18x³ + √9x = √(9x²⋅2x) + √(9⋅x) = 3x√2 + 3√x
We can then factor out 3 from both terms:
√18x³ + √9x = 3(x√2 + √x)
Therefore, the simplified expression is 3(x√2 + √x), which means that the answer is (C) x²√2.
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Related Questions
A certain manufacturing plant produces electric fuses of which 20% are defective. Find the probability that in a sample of 8 fuses selected at random there will be atleast one defective and not more than one defective.
Answers
Answer:
0.419
Step-by-step explanation:
To calculate this, we shall make use of Bernoulli approximation of Binomial distribution
if 20% are defective, then 80% are not defective
Probability of selecting a defective fuse is 20/100 = 0.2
Probability of selecting a non defective one is 0.8
Probability of at least 1 being defective is = 1 - Probability of none being defective
Mathematically that will be;
0.8^8 = 0.168
The above is probability of none defective
So the probability of at least one will be
1 - 0.168 = 0.832
Probability of not more than 1 means;
Probability of none + probability of 1 being defective
We already have probability of none above
Probability of 1 being defective means 8 will be non defective
The probability in this case is;
8 C 1 0.2^1 0.8^7
= 8 * 0.2 * 0.8^7 = 0.336
Add this to the probability of none = 0.336 + 0.168 = 0.504
So the probability that we want to calculate from the question will be;
Probability of at least one defective * probability of not more than one defective
= 0.832 * 0.504 = 0.419
Can someone show me the steps to solve this I will give u a Brainly crown (10points)
(Will get reported if you comment something wrong)
Answers
Answer:
Step-by-step explanation:
1/4a + 1/3a + 8 = 22
Collect like terms
1/4a + 1/3a = 22 - 8
Simplify
3a+4a/12 = 14
7/12a = 14
Divide both sides by 7/12
a = 14 ÷ 7/12
= 14 × 12/7
= 168/7
= 24
a = 24
Check:
1/4a + 1/3a + 8 = 22
1/4(24) + 1/3(24) + 8 = 22
24/4 + 24/3 + 8 = 22
6 + 8 + 8 = 22
22 = 22
Ani teaches 25% of the 4 year-olds at her school. There are 60 4-year- olds. Ani also teaches 20 3-year- olds. How many students does Ani teach altogether ?
Answers
Answer:
[tex]35[/tex] students
Step-by-step explanation:
Given information:
- There are 60 4 year-olds, Ani teaches 25% of them.
- Ani also teaches 20 3 year-olds.
Total students:
[tex]25\%\times60 = 15[/tex] 4 year-olds
[tex]15+20 = 35[/tex]
∴ Ani teaches [tex]35[/tex] students in total
Hope this helps :)
2 A large water tank holds 600 gallons of water. It is losing water at the rate shown in
the table.
Hours (x)
0
1
2
3
4
Gallons of Water in Tank (y)
600
540
480
420
360
Answers
Answer:
its losing 60 gallons an hour
Step-by-step explanation:
I.Write the algebraic expressions for the following statements:
1. The sum of a and b subtracted from 5.
2. A number added to half of itself.
3. 2 less than 2times of x.
4. Product of numbers m and n added to 7.
5. One-third of the sum p and q subtracted from the product of p and q.
6. A number a multiplied by itself.
Answers
Answer:
1. 5 - (a+b)
2. n + 0.5n = 1.5 n
3. 2x - 2
4. 7 + mn
5. pq - (p+q)/3
6. a*a = a^2
Step-by-step explanation:
What is the best deal ?? Please tell me step by step.
Answers
Answer:
10 cans of Pepsi for $6.30
Answer:
4 cans of Pepsi for 2.40
6th grade math i mark as brainliest
Answers
8(4c+6)+10
=32c+48+10
=32c+58
Hope this can help.
[tex]y > 3x + 9 y < 3x - 1[/tex]
please help is it infinite number of solutions, or no solution
Answers
Answer:
no solution
Step-by-step explanation:
Matt's saving account balance went from $325 at the beginning of the month to $195 at the end of the month. What was the percent of decrease?
Answers
Answer:
60%
Step-by-step explanation:
yes
find the product of (-2xy) (3y) (-7x)
Answers
Multiply the numbers:
-2 x 3 x -7 = 42
The the letters x time x = x^2
Y x y = y^2
Now combine for final answer:
42x^2y^2
2(y+4)−8=24
what is y?
Answers
Answer:
y = 12
Step-by-step explanation:
A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis?
Answers
Answer:
the slope of the line= 0.75.
its answer is 3.96 in y axis on 76 on X axis
i don’t understand linear equations
Answers
Answer:
a
Step-by-step explanation:
y=4x+ 1
please please please help i can't do this anymore
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y < 4x − 2
y is greater than or equal to negative 5 over 2 times x minus 2
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (−2, −2) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
if you abuse the amount of points I put on this question I will report you
Answers
Answer:
Photo.
Step-by-step explanation:
A: The graph of the system is all points in the graph that suit 4x-2<y</=-5/2x-2
B: The point (-2,-2) is not included in the solution area. While it suits the second equation, it doesn't suit the first, ruling it out as a possible solution. If you plug in -2 as both y and x in the equation 4x-2>y, you'll get -8>-2, which is false. So, it is not a solution.
Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?
Answers
Answer:
2y=8/3x
Step-by-step explanation:
Can the side of a triangle have lengths 1,4 and 6 yes or no
Answers
Answer:
no
Step-by-step explanation:
Which table does NOT show direct variation?
Answers
Answer:
Tables 3. The one in the bottom left corner.
Step-by-step explanation:
The values of table C is not in variation.
What is variation?Two sorts of quantities typically exist in a mathematical equation when a relationship is established for a certain type of parameter. One is a constant that stays the same regardless of how the other variables in the equation vary, and the other is a variable that changes depending on the circumstances. Variation is the term used to describe the changing of variables.
Given tables,
A direct variation is a straightforward relationship between x and y. To find a direct relationship, either use the formula y = kx or divide y over x (y/x).
Relation for table A
y /x = -3/1 = -3
y /x = -9/3 = -3
y /x = -18/6 = -3
y /x = -36/12 = -3
relation is in variation.
Relation for table B
y /x = 3/1 = 3
y /x = 9/3 = 3
y /x = 18/6 = 3
y /x = 36/12 = 3
relation is in variation.
Relation for table C
y /x = 4/1 = 4
y /x = 6/3 = 2
y /x = 9/6 = 3/2
y /x = 15/12 = 5/3
Equation doesn't have a direct relationship between x and y.
Relation for table D
y /x = 2/1 =2
y /x = 6/3 = 2
y /x = 12/6 = 2
y /x = 24/12 = 2
relation is in variation.
Hence the table C is not in variation.
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PLEASE I NEED HELP I WILL GIVE BRAINLIEST
Daria wants to open a retail T-shirt business. She has determined that her start up cost will be $235,000. This amount includes $39,500 for the first year’s rent on the store, $22,750 for the equipment, $41,800 for the initial inventory, $18,500 for insurance, and $28,950 for heating and electricity. The rest of the cost would be for employee salaries. Write an equation that would allow you to calculate the cost of employees’ salaries (x), then solve the equation for x.
Answers
It’s asking : the table shows the relationship between the cost of an item and the length of time in months it lasts . What graph represents the data in the table?
1. F
2. H
3. I
4. G
Answers
Answer:
F
Step-by-step explanation:
I think
Answer:
F
Step-by-step explanation:
Describe each step in the process for solving an literal equation.
Answers
Answer: in the image
I believe this is what you are looking for, hope this helps!
what is the slope of the graph
Answers
Answer:
- 5/3
Step-by-step explanation:
Line is passing through the points (0, 2) & (3, - 3)
Slope of the graph = (- 3 - 2)/(3 - 0) = - 5/3
In the equation below identify the y- intercept
Answers
this is due today i'm really struggling on school and ill be really happy if someone answers this
please and thank you :')
Answers
Answer:
Hey man, I don't really know how to do these problems following those exact steps, but these are the steps i used to solve it:
Step-by-step explanation:
1: (8 x 3/4) to find price for 1. then multiply by 13 [(8x3/40x13]
2: 6x13
3:$78
Does anyone know the answer to this problem?
Answers
Answer:
15
Step-by-step explanation:
3^2 + sqrt4 + 4
3^2 = 9
sqrt4 = 2
(9)+(2)+(4)=15
therefore, the answer is 15
What is the m=
And what is the equation
Please help me asap its almost due
Answers
Answer:
m = 1[tex]\frac{1}{7}[/tex], y = 1[tex]\frac{1}{7}[/tex]x + 10
Step-by-step explanation:
The equation of a line is y = mx + c where m is the slope and c is the y-intercept. I will be calculating the slope using the points (7, 2) and (0, 10)
m = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{2-10}{7-0}[/tex]
= [tex]\frac{8}{7}[/tex]
= 1[tex]\frac{1}{7}[/tex]
Based on the graph, the y-intercept is 10. Thus, the equation of the line is 1[tex]\frac{1}{7}[/tex]x + 10.
HELP ASAP WILL MAKE BRAINLIST Answer the following questions.
1) Solve. Gravitation acceleration is 32 ft/sec.
Darnell kicked a football from the ground at an angle of 45° from horizontal. The
initial velocity of the football was 120 feet/second. At 2 seconds into the flight, how
high was the ball (y
) and how far downfield was it (c
)?
Answers
Answer:
lol can I get pic of the question
Kris's bike used up 4.5 gallons of gas to cover a distance of 297 miles.Jack travels 366 miles on a full tank capacity of 6 gallons.Ben's bike consumed 5.2 gallons of gas for a 265.2 miles long drive. Whose bike gave the best mileage
Answers
Answer:
Ben's bike gave the best mileage.
Step-by-step explanation:
Kris's bike mileage = 297 / 4.5
Kris's bike mileage = 66 mile/gallon
Jack's bike mileage = 366 / 6
Jack's bike mileage = 61 mile/gallon
Ben's bike mileage = 265.2 / 5.2
Ben's bike mileage = 51 mile/gallon
Ben's bike gave the best mileage
Nia put $750 in her savings account the simple interest rate is 3% of the account if nia doesnt withdraw or deposit.how much would nia´s acoount be at in 2.5 years
Answers
Answer:750 divided by 3
Step-by-step explanation:
write in simplest from 4x1/8
Answers
Answer: 0.5
Step-by-step explanation:
4x1/8 is 1/2
1/2= 0.5
they keep returning saying show work:/
Answers
Answer:
64
Step-by-step explanation:
If you do the work:
1) Start with the whole numbers
20 x 3 = 60
2) Move to multiplying fractions
20 x 1/5
2a) To do this, start by turning the whole number into a fraction
20 x 1
1 5
2b) Cross-multply
20 x 1 = 20
1 x 5 = 5
2c) Divide
20/5 = 4
3) Add products
60 + 4 = 64