Answers
Answer:
[tex]-20\sqrt{3}-5\sqrt{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]4 \sqrt{12}-\sqrt{50}-7\sqrt{48}[/tex]
Rewrite 12 as 4 · 3 and 50 as 25 · 2 and 48 as 16 · 3 :
[tex]=4 \sqrt{4 \cdot 3}-\sqrt{25 \cdot 2}-7\sqrt{16 \cdot 3}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a \cdot b}=\sqrt{a}\sqrt{b} :[/tex]
[tex]=4 \sqrt{4}\sqrt{3}-\sqrt{25}\sqrt{2}-7\sqrt{16}\sqrt{3}[/tex]
As [tex]\sqrt{4}=2[/tex] and [tex]\sqrt{25}=5[/tex] and [tex]\sqrt{16}=4[/tex] then:
[tex]=4 \cdot 2 \sqrt{3}-5\sqrt{2}-7 \cdot 4\sqrt{3}[/tex]
Simplify:
[tex]=8\sqrt{3}-5\sqrt{2}-28\sqrt{3}[/tex]
Collect like terms:
[tex]=8\sqrt{3}-28\sqrt{3}-5\sqrt{2}[/tex]
Combine like terms:
[tex]=-20\sqrt{3}-5\sqrt{2}[/tex]
Related Questions
These are similar
figures. Solve for x
Answers
Answer:
x= the second one I hope I helped
Hhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answers
Answer:
Not linear because there is no degree in terms of yLinearNot linear because there is no specified degree.Nonlinear.Answer: A
Step-by-step explanation: its the only one that dosent have 1/2 and i double checked it goes straight through the graph
pretend this is a 20 letter question please help me
Answers
Answer:
1.64+0.94v
Step-by-step explanation:
0.2(8.2+4.7v)
0.2(8.2)+0.2(4.7v)
1.64+0.94v
I'm not very confident with this answer but I hope this helps
The sum of two consecutive integers is 5.
What are the numbers?
Hint. Consecutive integers differ by 1,
so let x = smaller integer and y = x + 1 =
next larger.
Answers
They are 2 and 3, since 2 + 3 = 5
Let x be the smaller number. Then
x + (x + 1) = 5
2x + 1 = 5
2x = 4
x = 2
x + 1 = 3
A piece of length of wire 8 ¼m. It is cut into two pieces. The length of onee piece is 4 3/5 m. What is the length of other piece
Answer should be 7/2m
Answers
Answer:
3 ¹³/²⁰ m
Step-by-step explanation:
You first take 8¼ m then you subtract 4⅗m giving you 3 ¹³/20
Write an equation for this situation.
Answers
Step-by-Step Explanation:
Let ‘x’ be the number of months
Let ‘y’ be the total no. of books he read
Given:
He read 2 books before joining (+2)
He plans to read 3 books per month (3x)
Equation:
= Total no. of books = 3 multiplied by the no. of months + 2 books he had read
=> y = 3x + 2
Which statement correctly compares the shapes of the distributions?
Answers
The statement that compares the distribution shapes is (b) East Hills HS is positively skewed, and Southview HS is symmetric.
How to interpret the distribution shapes?From the question, we have the following highlights:
East Hills HS has more points at the right. This represents a positive skewSouthview HS has more points at the center. This represents a symmetric skewnessHence, the statement that compares the distribution shapes is (b) East Hills HS is positively skewed, and Southview HS is symmetric.
Read more about skewness at:
https://brainly.com/question/24309209
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Answer:
Step-by-step explanation:
East hills is negative skewed, Southview is symmetric
Explanation-just took the quiz
What is the perimeter of this composite figure?
Answers
Answer:
24.56
Step-by-step explanation:
the circumference of a cricle is pi times diameter (so 4pi) then add both sides of 6 (so 12)
Answer:
P= 24.56cm
Step-by-step explanation:
P=2L + πd
P=2x 6cm + 3.14x4cm
p=12cm+12.56cm
P= 24.56cm
If our statement was < β is congruent to < α, the reason would be _____.
Answers
Answer:
Step-by-step explanation:
Vertical angles theorem.
It the UK they are called opposite angles,
Select the correct location on the table.
Select the expression that is equivalent to . (Refer to the image)
Answers
Answer:
left one on 3rd row
Step-by-step explanation:
using the rules of exponents/ radicals
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
given
[tex]12^{-\frac{4}{7} }[/tex]
= [tex]\frac{1}{12^{\frac{4}{7} } }[/tex]
= [tex]\frac{1}{\sqrt[7]{12^{4} } }[/tex]
Jill bought 3 pints of strawberries for $3.98 each. What is the best estimate of how much Jill spent?
$4.00
$9.00
$12.00
$8.00
Answers
Answer:
Answer C. $12.00
Step One: Round
First you will want to round $3.98 to the nearst hundredth. A little saying my teacher taught me to help you to remember to round:
Find your place, and move next door.
Five or over add one more!
Numbers to the left, stay the same.
Numbers to the right, zeros your name!
So, we choose the 8 in 3.98. We then round. Since the nine is over five, we add one more to it. Causing it to be 4.00
Step Two: Multiply
Now multiply buy 3 since Jill is getting three pints of strawberries
3 times 4 is twelve
So, your answer is 12.00
Hope this helps!!
Determine the sine, cosine, and tangent to the angle
A sun 0=12/15
Answers
Answer:
Cos θ = 13/15
Tan θ= 12/13
Step-by-step explanation:
We are given;
Sin θ = 12/15
From trigonometric ratios, we know that;
Sin θ = opp/hyp
Cos θ = adj/hyp
Tan θ = opp/adj
Thus, since Sin θ = 12/15, then;
Adjacent side = √(15²- 12²)
Adhacent side = √169
Afjacent side =13
Thus;
Cos θ = 13/15
Tan θ= 12/13
A 3-yard roll of waxed paper costs $9.81. What is the price per foot?
Answers
Answer:
1.09
Step-by-step explanation:
9.81÷3=3.27 This shows the cost of 1 yard
3.27÷3= 1.09 since theres 3 feet in a yard, when you divide by 3 it shows how much 1 foot costs
d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places.
Answers
Using the normal distribution, it is found that your systolic blood pressure is of 110.45.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 122, \sigma = 22[/tex].
The 30th percentile is X when Z = -0.525, hence your BP is given as follows.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.525 = \frac{X - 122}{22}[/tex]
X - 122 = -0.525 x 22
X = 110.45.
More can be learned about the normal distribution at https://brainly.com/question/24663213
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 10,901 total votes, how many yes votes were there?
Answers
I need help with this problem please.
Answers
Answer:
D
Step-by-step explanation:
A used car depot wants to study the relationships between the age of a car and its selling price. Listed below is a random sample of 9 cars at the depot during the last 3 months
Answers
Solve |x|+7<4.
A.) {x|x<-11 or x>-3}
B.) ∅
C.) {x|-3
Answers
Answer:
No solutions
Step-by-step explanation:
Given inequality,
|x|+7<4To Find:
Value of x in the inequality.
Solution:
Add -7 to both sides
= |x|+7+(−7)<4+(−7)= |x|<−3Find absolute value
No solutionsWhy?
Reason:Because, absolute values can't be less than 0.
Francis works and earns $3437 dollars but on a pay stub pays 42% to tax. What is the sales Tax?
Answers
Multiply:
3437 x 42%
3437 x 0.42 = 1443.54
answer: $1443.54
Solve the following equation algebraically:
3x²=12
A. +3
b. ±2
C.+3.5
d. ±1.5
Answers
Answer:x = ± 2
Step-by-step explanation:3x² = 12
x² = 12/3
x² = 4
x = √4
x = ± 2
Answer: x = ± 2 hopes that helps you out bud
Answer
x = 2 or x = -2
Brainliest?
HellpppNeed help please urgent
Answers
Answer:
the answer is 63.59m²
Step-by-step explanation:
[tex]radius = \frac{diameter}{2} \\ = \frac{3}{2} \\ = \frac{9}{2} (since \:1cm = 3m \: so \: 3cm = 9m) \\ = 4.5 \\ area \: of \: circle = \pi {r}^{2} \\ = 3.14 \times (4.5) {}^{2} \\ = 3.14 \times 20.25 \\ = 63.585 {m}^{2} [/tex]
now bsf yall know........
Answers
Answer:
24 - 14.4b
Step-by-step explanation:
Hola has 18 balls and he wants to give some of his balls to 9 girls on the bed. If he gave away some balls how many balls are there left?
Answers
Answer:
the answer should be 2
Step-by-step explanation:
you have to divide the 18 balls by the 9 girls.
Look at the image below.
3
2.2
2
What is the area of the parallelogram?
square units
Answers
What is the measure of angle x?
Answers
Answer:
90 degrees cuz the lil square thang
Answer:
x = 48°
Step-by-step explanation:
The sum of angles on a line is 180°.
The angles 42°, 90°, and x° lie on the same line.
42 + 90 + x = 180x + 132 = 180x = 48°Simplify the expression using properties of exponents. 10a-8b-2/4a3b5
Answers
=52a−11b−7
Explanation:
10
a
−
8
b
−
2
4
a
3
b
5
Note:
a
m
a
n
=
a
m
−
n
Applying the above property to the exponents of
a
and
b
=
(
10
4
)
.
a
(
−
8
−
3
)
.
b
(
−
2
−
5
)
=
5
2
a
−
11
b
−
7
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Use the net to find the surface area of the square pyramid
Answers
Answer:
333 ft^2
Step-by-step explanation:
Surface area is the sum of all the areas of the shape.
First, the area of the square in the center is simply 9x9 = 81.
The area of a triangle is (bh)/2, where b = base, and h = height
In the triangle, 9 is the base, and 14 is the height:
(9x14)/2 = 63
There are four triangles of the same area:
63 x 4 = 252
252 + 81 = 333
Answer:
333ft^2
Step-by-step explanation:
Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral triangle triangle triangle (a) J (2, 0), K (-1, -2), L (2,6) ID (b) A (3, 1), B(-3, 1), C (0, 6) (c) D (-8, 3), E(-1,0), F (-1, 6) ? X S
Answers
Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
_____
Additional comment
It is impossible to specify an equilateral triangle using rational coordinates.
The First National Bank of Wilson has 700 checking account customers. A recent sample of 50 of these customers showed 29 have a Visa card with the bank.
a. What is the margin of error for a 95% confidence interval for the population proportion? (Round your answer to 3 decimal places.)
b. What is the 95% confidence interval for the population proportion?
Answers
The margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We have:
n = 50, X = 29,
Estimate point p = 29/50 = 0.58
q = 1-p = 1-0.58 = 0.42
Z at 0.05/2 (95% confidence interval) = 1.96
[tex]\rm MOE = 1.96\sqrt{\dfrac{0.58\times0.42}{50}}[/tex]
After calculating:
MOE = 0.137
Confidence interval will be: (p - MOE, p+MOE)
= (0.58-0.137, 0.58+0.137)
= (0.443, 0.717)
Thus, the margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
Learn more about the Margin of error here:
brainly.com/question/13990500
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percentage are boys? 3. The price of a chocolate bar is 25p and includes 5p profit. Express the profit as a percentage of the original price.
Answers
Answer:
25%
Step-by-step explanation:
the original price is 20 not 25 because 25 is the total of the profit and the price of the chocolate so there's no way 25 is the original price and if you know that and you know the formula it'll be easy for you to get the percentage profit good day.