√2x³. √10x
Help please
Answers
You can write as \(2 \sqrt{5} {x}^{2}\) or \(\boxed{2 {x}^{2} \sqrt{5}} \)
Step-by-step explanation:
Find product of the groups,
\( \sqrt{2 {x}^{3} \: . \: 10x}\)
Regrouping,
\( \sqrt{2{x}^{3 + 1} \: . \: 10 } \)
Multiplying,
\( \sqrt{20 {x}^{3 + 1} } \)
Add constants,
\( \sqrt{20 {x}^{4} } \)
Rewrite 20 as 4 • 5,
\( \sqrt{4 \: . \: 5 {x}^{4} } \)
Rewrite 4 as 2² ,
\( \sqrt{ {2}^{2} \: . \: 5 {x}^{4} } \)
Using radical rules,
\( \sqrt{ {2}^{2} } \sqrt{x} \sqrt{5} \)
Reduce root and power,
→ \( \underline {2 {x}^{2} \sqrt{5}} \)
Related Questions
IS THIS RIGHT PLZZ HELP ME !!
Answers
Answer:
The answer would be D.
Step-by-step explanation:
The answer would be D since 3 and -3 are opposite numbers (they are the same distance in units away from 0) and they add up to 0.
Hope this helps :)
Answer: The correct answer is D
Step-by-step explanation:
It’s D because -3 and 3 equal 0.
I don't know how to do this, I wasn't paying attention in class
Answers
Answer:
39.837168574084177751131265854635
Step-by-step explanation:
If you plug it into a calculator, you get that.
Next time, please pay attention in class and save us all a little trouble.
Breast-feeding mothers secrete calcium into their milk. Some of the calcium may come from their bones, so mothers may lose bone mineral. Researchers measured the percent change in mineral content of the spines of 47 mothers during three months of breast-feeding.6Here are the data:
Blend Images/Superstock
(a)
The researchers are willing to consider these 47 women as an SRS from the population of all nursing mothers. Suppose that the percent change in this population has standard deviation ? = 2.5%. Make a stemplot of the data to verify that the data follow a Normal distribution quite closely. (Don
Answers
To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.
To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.
STEMPLOT OF THE DATAHowever, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.
Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.
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23.35 divided by 27.65
round answer in 2 decimal places
Answers
Answer:
0.84
Step-by-step explanation:
23.35 divided by 27.65 = 0.84448462929
Rounded to the first 2 decimal places would be:
0.84
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Answer:
Step-by-step explanation:
\(\frac{23.35}{27.65} \approx{0.84}\\\)
9. Which of the following is true about the Venn diagram below?
U
B
7
0
9
6
4
1
3
5
8
2
(a) B' = {2,3,9)
(b) B = {0, 1,4,5,6,7,8}
(C) U = {0, 1,2,3,4,5,6,7,8,9}
(d) All of the above.
Answers
Answer:
(d) All of the above
Step-by-step explanation:
In order to solve this question we will have to find out which numbers are located in which group (the group of numbers are U, B, B').
So lets start of with finding out what numbers are a part of group U. By looking at that picture we can see that all number on the graph are a part of group U. So.....
U = {0,1,2,3,4,5,6,7,8,9}
Then we can find out what numbers are part of the group B. We just have to include the numbers that are located within the circle and exclude all of the numbers out side of the circle. So........
B = {0,1,4,5,6,7,8}
We find numbers that are parts of group B' by using a similar method that we used to find out what numbers were part of group B (Just this time we include all numbers outside of the circle and exclude all of the numbers inside the circle). So ......
B' = {2,3,9}
Now we see that the right option is option d.
Name a pair of vertical angles in the diagram. **Be sure to start your answer with 'ANGLE'
Answers
Answer:
ANGLE LQM and ANGLE KQN
Step-by-step explanation:
Vertical angles are across from each other, so:
ANGLE LQM and ANGLE KQN are vertical angles.
Also, ANGLE LQK and ANGLE MQN are vertical angles.
How many elementary events are in the sample space of the experiment of rolling three fair coins? 2 9 8 6
Answers
When we roll three fair coins, there are two possible outcomes for each coin - either it lands heads up or tails up. There are 8 elementary events in the sample space of the experiment of rolling three fair coins.
The sample space of this experiment consists of all possible combinations of three outcomes, which can be calculated by multiplying the number of outcomes for each coin: 2 x 2 x 2 = 8.
Each of these combinations is called an elementary event, which means that there are 8 elementary events in the sample space of the experiment of rolling three fair coins. We can list them as follows:
1. HHH (all three coins land heads up)
2. HHT (two coins land heads up, one lands tails up)
3. HTH (two coins land heads up, one lands tails up)
4. THH (two coins land heads up, one lands tails up)
5. HTT (one coin lands heads up, two land tails up)
6. THT (one coin lands heads up, two land tails up)
7. TTH (one coin lands heads up, two land tails up)
8. TTT (all three coins land tails up)
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(c) Write
3"
9-1
as a power of 3
Answers
Let's first start by rewriting the denominator to have a base of 3.
9 = 3^2
9^(n - 1) = 3^2(n - 1)
Now that we have two terms with the same base, we can subtract the exponents.
3^n / 3^2(n - 1) = 3^[n - 2(n - 1)]
3^[n - 2n + 2]
3^[-n + 2]
3^-(n - 2)
Answer: 3^(-n + 2) OR 3^-(n - 2)
Hope this helps!
suppose a random variable is exponential with . compute the expected value (average) and standard error (standard deviation) of .
Answers
The expected value or the average of the Exponential random variable TT with λ=5 is 0.2 and the standard deviation or the standard error is also 0.2.
Here, we have,
The formula for the expected value of an Exponential distribution with parameter λ is E(TT) = 1/λ. Therefore, for λ = 5, E(TT) = 1/5 = 0.2.
Similarly, the formula for the standard deviation of an Exponential distribution with parameter λ is σ = 1/λ.
Therefore, for λ = 5, σ = 1/5 = 0.2. Hence, the standard error is also 0.2.
Therefore, the expected value or average of TT is 0.2 and the standard deviation or standard error is also 0.2.
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complete question:
Suppose a random variable TT is Exponential with λ=5. Compute the expected value (average) and standard error (standard deviation) of TT.
μ=μ= (Give the probability rounded to four decimal places.)
σ=σ= (Give the probability rounded to four decimal places.)
Question f(1)= ?
Please explain
Answers
The coordinates of the given points are:
(-2, 2)(-3, 0)(0, 1)(1, -2)What is a graph?A graph is a mathematical representation of a network that describes the connection between lines and points. A graph is made up of points with lines connecting them. The length of the lines and the position of the points are irrelevant. Each object in a graph is referred to as a node.Refer to the diagram to know the coordinates of the given points.
Therefore, the coordinates of the given points are:
(-2, 2)(-3, 0)(0, 1)(1, -2)Know more about graphs here:
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2. Write the algebraic phrases that correspond to the following word phrases: (a) The sum of four times the opposite of a number and - 5 (b) The product of 5 and the sum of 3 times a number and 4
Answers
Considering the definition of an algebraic expression, The algebraic expression of the word pharses are:
(a) 4×(-x) + (-5)
(b) 5×(3x + 4)
Definition of an algebraic expressionAn algebraic expression is a combination of numbers and letters related to each other by mathematical operations. Usually, the letters represent unknown quantities and are called variables or unknowns.
Algebraic expression in this caseIn this case, you know:
(a) The sum of four times the opposite of a number and - 5
(b) The product of 5 and the sum of 3 times a number and 4
The algebraic expression of the word pharses are:
(a) 4×(-x) + (-5)
(b) 5×(3x + 4)
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Find the length of the third side. If necessary, round to the nearest tenth.
Answers
Answer: 10
Step-by-step explanation:
a2 + b2 =c2
(5 x 5) + (9 x 9) = c2
25 + 81 = 106
Root of 106 = 10.295630141
Round to the nearest tenth
Acorn falls from a tree "h=98-18t^(2)" (height depends on time)
a) When "t=2 seconds," find "h"
____ft
b) Find "t" when the acorn hits the ground. (to nearest tenth)
____seconds
Answers
Using the equation h = 98 - 18t², the values are -
a) The height of acorn is obtained to be 26 feet.
b) The time when acorn hits the ground is obtained as 2.3 seconds.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
a) When t = 2 seconds, we can find the height of the acorn by plugging in t = 2 into the equation for height -
h = 98 - 18t²
h = 98 - 18(2)²
h = 98 - 18(4)
h = 98 - 72
h = 26 feet
Therefore, when t=2 seconds, the height of the acorn is 26 feet.
b) We can find the time it takes for the acorn to hit the ground by setting h to 0 in the equation for height and solving for t -
h = 98 - 18t²
0 = 98 - 18t²
18t² = 98
t² = 98/18
t² ≈ 5.4444
t ≈ √5.4444
t ≈ 2.33 seconds (rounded to the nearest tenth)
Therefore, the acorn hits the ground after approximately 2.3 seconds.
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12.4 is 20% of what number?
A. 2.48
B. 32.4
C. 62
D. 248
Answers
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
put 12.4* 20 and you get D
Can someone help fast, I’ll give you brainliest
Describe how the function is transformed from the original function f (x) = (I can’t write the symbol so it’s in the photo) and in which order the transformations occur?
h(x) = (in photo since no symbol) - 2+1
Answers
Answer:
enjoy it .................
Answer:
Translates up 1 and to the left 2
Step-by-step explanation:
I'm not completely sure if this is right but I hope it helps :/
Find the value of x and the value of y.
A. x= 2 squared root of 3, y= 4 squared root of 3
B. x= 3,y= 6 squared root of 3
C. x= 6 squared root of 3, y=12
D. 2 squared root of 3, y= 6
Answers
Answer:
Option A
Step-by-step explanation:
To find all missing sides of a right triangle we use the sine, cosine or tangent ratio as below,
sinθ = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
cosθ = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)
tanθ = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)
Now we take an angle measuring 60°
sin(60°) = \(\frac{6}{y}\)
\(\frac{\sqrt{3} }{2}=\frac{6}{y}\)
y = 4√3
tan(60°) = \(\frac{6}{x}\)
√3 = \(\frac{6}{x}\)
x = 2√3
Therefore, Option A will be the correct option.
what is a 10th term and the first 3 terms of :(
−
2
)
⋅
Answers
Step-by-step explanation:
your question is quite easy but the way you put it makes it complicated for me to understand. please can you rewrite it in a more easier way
All of the following equations have the same solution except _____. X + 6. 5 = 6. 3 7. 5 x = 1. 5 = 0. 04 -1. 8 + x = -1. 6.
Answers
All of the following equations have the same solution except x + 6.5 = 6.3 , the correct option is (c) .
In the question ,
four equations are given ,
we have to select the option that has a different solution form the given options .
Part(a) the equation is 7.5x = 1.5
simplifying further ,
we get ,
x = 1.5/7.5 = 0.2
Part(b) the equation is x/5 = 0.04
simplifying further ,
we get ,
x = 5*0.04 = 0.2
Part(c) the equation is x + 6.5 = 6.3
simplifying further ,
we get ,
x = 6.3 - 6.5 = -0.2
Part(d) the equation is -1.8 + x = -1.6
simplifying further ,
we get ,
x = -1.6 + 1.8 = 0.2
Therefore , the equation that is having a different solution (x = -0.2) is (c) x + 6.5 = 6.3 .
The given question is incomplete , the complete question is
All of the following equations have the same solution except _____.
(a) 7.5x = 1.5
(b) x/5 = 0.04
(c) x + 6.5 = 6.3
(d) -1.8 + x = -1.6
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...........................
Answers
Answer:
below
Step-by-step explanation:
uG =(12sin45)/sin85
Find the volume of this composite object!
(use 3 for pi)
Answers
Answer: 225 cm^3
Step-by-step explanation: To find the volume of the composite object, we need to find the sum of the volumes of the cylinder and the cone.
Volume of cylinder = pi * r^2 * h = 3 * 3^2 * 7 = 189 cubic units
Volume of cone = 1/3 * pi * r^2 * h = 1/3 * 3 * 3^2 * 4 = 36 cubic units
Total volume of composite object = volume of cylinder + volume of cone = 189 + 36 = 225 cubic units.
Therefore, the volume of the composite object is 225 cm^3.
Answer: 135 cm³
Step-by-step explanation:
You have 2 shapes. Find volume for both and add them
V(cone) = \(\frac{\pi r^{2} h}{3}\) r=3 h=3 \(\pi\)=3
=\(\frac{3(3^{2})3 }{3}\)
=27
V(sphere)= \(\frac{4}{3 }\pi r^{3}\) r=3 \(\pi\)=3
= \(\frac{4}{3 }(3) 3^{3}\)
=108
Add the 2 volumes
V=27+108 = 135 cm³
A and B are supplementary angles. If mA = (2x - 2)° and
m/B= (x + 5)°, then find the measure of A.
Answers
Answer:
∠A=116°
Step-by-step explanation:
∠A=(2x-2)°
∠B=(x+5)°
∠A+∠B=180°, cuz A and B are supplementary angels.
(2x-2)°+(x+5)°=180°
2x-2+x+5=180
3x+3=180 /:3
x+1=60
x=59
∠A=(2x-2)°=(2*59-2)°=(118-2)°=116°
Help? Please I’m desperate
Answers
Answer:
its called a calculator division and multiplication
Step-by-step explanation:
F(x)= x+4
How do you do this step by step?
Answers
Answer:
you find the x and y intersepts and draw the line
Step-by-step explanation:
if we break down the equasion in the end it's y=x+4 and from there we can find the intersepts by canceling out, y=x+4 becomes y=4 and 0=x+4 wich is x=-4
2x+3y= 20 point reward.
Answers
Answer:
=2x+3y. you can't add two different variables
Use the figure at the right to identify the angle pair relationship.
Answers
Angles ∠1 and ∠7 are alternate interior angles and angle ∠4 and ∠8 are adjacent angles.
What are lines and angles?Lines are straight with little depth or width. Perpendicular lines, intersecting lines, transversal lines, and other types of lines will be covered. An angle is a shape formed by two rays emerging from a common point. In this field, you may also come across alternate and equivalent angles.
The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
When a transversal connects two coplanar lines, alternate interior angles are generated. They are on the inside of the parallel lines, but on the outside of the transversal.
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4Gopal is paid 20 000 rupees each month.
Jamuna is paid 19 200 rupees each month
Gopal and Jamuna are both given an increase in their monthly pay.
After the increase, they are both paid the same amount each month.
Gopal was given an increase of 8%
Work out the percentage increase that Jamuna was given.
Answers
Here’s another geometry workbook question I need help with!
Answers
Answer: D
Step-by-step explanation:
Two whole number, three over five of the pupils in a school are boys. If there are 96 girls and the school,how many pupils are there in the school?
Answers
Answer:
106 students
Step-by-step explanation:
If you take the 2 3/5 and covert it into a whole number by: 2×3+5 = 10
and then you have 96 girls so you add the whole number you got that is 10 and the 96 girls
=96+10= 106 students
⋆ ˚｡⋆୨୧˚hope this helped˚୨୧⋆｡˚ ⋆
is the fraction 11/20 a repeting and termnating decimal?
Answers
Answer:
it is terminating
Step-by-step explanation:
Answer:
11/20 is a terminating decimal.
Step-by-step explanation:
1) Find the denominator of 11/20 in its lowest form.
The greatest common factor (GCF) of 11 and 20 is 1. Convert 11/20 to its simplest form by dividing the numerator and denominator by its GCF: The denominator of 11/20 in its lowest form is 20.
11 ÷ 1 / 20 ÷ 1 = 11 / 20
2) Find the prime factors of the answer in Step 1.
The prime factors of 20 are all the prime numbers that you multiply together to get 20. The prime factors of 20 are:
2 x 2 x 5
3) Determine if 11/20 is terminating.
A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2s and/or 5s or no prime factors at all. This is the case here, which means that our answer is as follows:
11/20 = terminating.
Hope this helps.
Can someone please help me with this? Not just answers pleaseee.
Answers
7(x+2)
Let's find the common term in this expression to factor it out. it is 7.
Factoring is the opposite of distributing.
If we distribute, we will get the original expression.
Next:
45-27k
Here, the common term is 9:
9(5-3k)
12ab+7b - the common term is b:
b(12a+7)
y^2-9y.
Here the common term is y:
y(y-9)
8r-32r² the common term here is 8r:
8r(1-4r)
16gh+28gh: the Common Term is 4gh:
4gh(4+7)
21w²-77wx The common term is 7w:
7w(3w-11x)
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