Answers
Answer:
Solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]
Step-by-step explanation:
We need to simplify the radical: [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex]
Prime factors of 18 are: 2x3x3
Replacing [tex]\sqrt{18}[/tex] with its factors
[tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3\times3})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3^2})[/tex]
We know that [tex]\sqrt{3^2}=3[/tex]
[tex]=4\sqrt{2}(-4\sqrt{15}+3\times3\sqrt{2})\\=4\sqrt{2}(-4\sqrt{15}+9\sqrt{2})[/tex]
Multiplying [tex]4\sqrt{2}[/tex] with terms inside the bracket
[tex]=4\sqrt{2}(-4\sqrt{15})+4\sqrt{2}( 9\sqrt{2}))\\=-16\sqrt{2}\sqrt{15}+36\sqrt{2} \sqrt{2}[/tex]
We know that [tex]\sqrt{2} \sqrt{2}=2[/tex]
[tex]=-16\sqrt{2*15}+36(2)\\=-16\sqrt{30}+72[/tex]
So, solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]
Related Questions
A math class has 9 girls and 1 boy in the seventh grade and 3 girls and 3 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both boy?
Answers
Answer:
10% of choosing a 7th grade boy.
50% of choosing 8th grade boy
Step-by-step explanation:
Answer:
Step-by-step explanation:
prob(boy 7th grade)= 1/10 it is just one boy out of 10 students
prob(boy 8th grade)= 3/6=1/2 there are 3 boys out of 6 students
Prob(both boys)=( 1/10)*(1/2)=1/20
what is the area of a circle if the diameter is 6 in
Answers
Answer:
28.27 in²
Step-by-step explanation:
Since Area = π times r²
And 2
r = Diameter
As Diameter = 6
r = 3
Area = π x 3²
= π x 9
= 28.27 in²
35% of 80 is what?
Helppppppppp
Answers
Answer:
Its 28.
Step-by-step explanation:
Answer:
Its 28
Step-by-step explanation:
1. Write 35% as 35100.
2. 35100 of 80 = 35100 × 80.
3. Therefore, the answer is 28. If you are using a calculator, simply enter 35÷100×80 which will give you 28 as the answer.
plz brainlist if i helped
Two towns that are 31.5 km apart are 3 cm apart on a map. What is the scale of the map?
A. 1 cm = 29.5 km
B. 1 cm = 9.5 km
C. 1 cm = 10.5 km
D. 1 cm = 15.5 km
Answers
Answer:
3 cm on the map represents 31.5 km in reality.
3cm : 31.5 km
1cm : 31.5/3 km
1cm : 10.5km
So the scale on the map is 1cm represents 10.5 km.
A solid metal cube 8 cm on each side is melted and recast
into a solid cylinder with radius 10 cm. What is the height
of the cylinder?
Answers
Adam biked 6 3/4 miles to work and then 3 2/5 miles to the store. How many miles had he biked that day when he arrived at the store
Answers
Answer:
6 + 3 + 1.15 = 10.15 miles
Step-by-step explanation:
LAST ONE, GET IT RIGHT PLS.. IF U DONT ITS OK
NOW MY POINTS ARE GONE>> USE WISLY
Answers
Answer:
I think that it is the first one and the third one.....
I hope that it is correct, I tried helping you get it correct
This, is as far as I go. Goodluck with the rest man. Let me know if you need more assistance. :)
need help plz thanks for the help
Answers
Answer:
m<C = 66°
Step-by-step explanation:
Perpendicular bisector, AB divides angle CAD into two equal parts. Therefore:
(5x + 9)° = (7x + 3)°
Solve for x
5x + 9 = 7x + 3
Collect like terms
5x - 7x = -9 + 3
-2x = -6
Divide both sides by -2
x = 3
✔️m<C + m<CBA + m<BAC = 180° (sum of triangle)
m<C + 90° + (7x + 3)° = 180 (substitution)
Plug in the value of x and solve
m<C + 90 + 7(3) + 3 = 180
m<C + 90 + 21 + 3 = 180
m<C + 114 = 180
m<C = 180 - 114 (Subtraction property of equality)
m<C = 66°
Which of the following is the most likely the next step in the series ?
Answers
Answer:
I believe the likely awnser is c because it is adding one more side on each step.
Student #2:
4x + 1 ≤ -4
x + 1 ≤ -1
x ≤ -2
Solved the inequality incorrectly but graphed their solution correctly.
Solved the inequality incorrectly and graphed their solution incorrectly.
Solved the inequality correctly and graphed their solution correctly.
Solved the inequality correctly but graphed their solution incorrectly.
Answers
Answer:
B
Step-by-step explanation:
Answer:
The student solved the inequality correctly, but the graph incorrectly represents the solution calculated.
Step-by-step explanation:
The ratio of employees who own a red car to employees who own a black car is
1:5. If there are 6 employees who own a red car, how many employees own a
black car? *
Answers
Answer:
There would be 30 black cars.
Since the ratio is 1:5
And we know that there are 6 red cars,
we basically just input it in our ratio
so it would look like 6:x
Now, we just have to plug in for x.
To do that, you have to multiply 6 by 5
To match the ratio.
So that would give us 6:30
And if we divide by 5 we should get our original ratio.
I know this seems confusing haha, but I hope you get it, it's not as hard as it looks !!
TIME REMAINING
41:17
What is the value of
due of (3-54(2)-16-2?
040
-16
ООО
24
56
Sigr
Answers
Answer:
700th
Step-by-step explanation:
vhzjjb zetas CD kinda cos dsuskskxn BBC bxhxjcjjdjdjjcfjjfjfjbdhduudjthfhhff&hdjdjjff#jfjjffj#
#enaa garntiii
A track team ran 8 and 3/4 miles (mi) in 5 days. If they ran the same distance each day, how far did they run in one day?
Answers
Answer:
1.75
Step-by-step explanation:
First I converted
8 3/4 to 8.75
then I divided
8.75 / 5
= 1.75
The team ran 1.75 miles each day if they ran the same distance each day.
What is the division operation?
In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
A track team ran 8 and 3/4 miles (mi) in 5 days.
To find out how far the track team ran in one day, you need to divide the total distance run by the number of days.
8 and 3/4 miles = 8.75 miles (by converting mixed numbers to decimal)
total distance = 8.75 miles / 5 days
Apply the division operation, and we get
total distance = 1.75 miles/day
Therefore, the team ran 1.75 miles each day.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ2
Start with n and subtract 6
Answers
Answer:
n-6
Step-by-step explanation:
Today, there were 3 students absent from the math class. Each students that attended school solved 17 equations in math class. At the end of the class the teacher told the students that together they solved 408 equations today. How many students are this class if no one is absent?
Answers
Answer:
27 studentsStep-by-step explanation:
Number of students present in the math class:
408/17 = 24Number of students in this class:
24 + 3 = 27i need help please
Answers
Answer:
kgjyfhtgdxhfc
Step-by-step explanation:
jgvkhjjhgdjfgkh
evaluate -5 - 15 + 4 + 15
Answers
Answer:
Step-by-step explanation:
-5+-15= -20
4+15= 19
-20+19
-1
Answer:
-1
Step-by-step explanation:
-5 - 15 + 4 + 15
-20 + 19
-1
plzzzzz mark me brainliest
$6 notebook; 50% off; 7% tax
Answers
Answer: The notebook is worth 2.79
Step-by-step explanation: Let's start off with taking 50% off of 6, which is 3$. Now we need to do 7% of 3:
7 x 3 = 21
21 / 100 = 0.21
3 - 0.21 = 2.79
Hope this helps :)
A 30 foot ladder is placed against a vertical wall so that the base of the ladder is 10 feet from the base of the wall. How far up the wall does the ladder reach?
Answers
Answer:
the answer is approximately 28.28
Step-by-step explanation:
you use the pythagorean theorem to find the last length. I could explain it further, but you can take my word for it, its correct. I double checked.
+
+
+
b
a
0
C
All of the following statements are all true except
The quotient of a and b is positive.
The quotient of O and cis O.
The quotient of cand bis negative.
The quotient of O and a is undefined.
Answers
Answer:
4. The quotient of 0 and a is undefined.
Step-by-step explanation:
Let's examine each statement to see which is true or untrue.
✔️Statement 1:
a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.
Statement 1 is true.
✔️Statement 2:
Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.
Statement 2 is correct.
✔️Statement 3:
c is a positive number. b is negative number. Positive divided by negative = negative.
Statement 3 is correct.
✔️Statement 4:
Dividing 0 by any number would give us a quotient of 0.
Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.
At the Fast-Pack It shipping, the employees can unload 25 trucks in 5 hours. Which of the following is a correct unit rate for this situation? (4 points)
5 hours per truck
1 truck per hour
1 over 5. of a truck per hour
1 over 5. of an hour per truck
Answers
Answer:
five trucks per hour
Step-by-step explanation:
A pizzeria's gains and losses for 3 months are: $627, -$480, and $854. What is the pizzeria's total profit or loss after 3 months?
A. $1961
B. $147
C. $374
D. $1001
Answers
Answer:
1001
Step-by-step explanation:
Answer:
$1001
Step-by-step explanation:
$627 -$480 + $854 = 1001$
The table shows the cost in dollars, y, for shipping x number of chargers and electronic tablets.
Which function shows the combined cost in dollars, y, for three shipments with x number of chargers and tablets?
y = 2.00x + 4.00
y = 6.00x + 12.00
y = 3.50x + 2.50
y = 10.50x + 7.50
please help
Answers
Rina’s recipe uses 2 cups of sugar to make 2 ½ dozen cookies. Jonah’s recipe uses 2 ¼ cups of sugar to make 3 dozen cookies. Which recipe uses more sugar for a dozen cookies? Why?
Answers
Answer:
Let's calculate the "cups of sugar per dozen cookies" ratio:
2 cups
---------- = 0.8 (Rina)
2.5
2.25 cups
------------- = 0.75 (Jonah)
3
Rina uses more sugar for a dozen cookies.
Simplify 8x + 9d + 3x -5d
Please Do Show Your Work Explanation
Answers
Answer:
The answer is =4d+11x
Step-by-step explanation:
8x + 9d + 3x -5d
=9d-5d+8x+3x
=4d+11x
Answer:
putting in arranged and sum the like terms
8x+3x+9d-5d
11x+4d
List 3 values that would
make this inequality true.
er.
C С
4 + g 29
Answers
Answer:
Three values that would make this true would be 5, 9, and 20.
You could choose any number that is greater than or equal to 5
I NEED HELP !!!! A taxi driver spends $105 every week on gas for 6 weeks. What integer represents the effect of buying $105 on gas for 6 weeks on the taxi driver’s bank account, in dollars?
Answers
.Answer:
-105
Step-by-step explanation:
Given
[tex]Gas = \$105[/tex] for 6 weeks
Required
Represent this as an integer
If the driver spends $105 on his taxi then it means that the money is debited from the driver's bank account.
Debit implies negative and it is represented by a negative symbon
Hence, the integer that represents this scenario is -105
For a group of 70 people, assuming that each person is equally likely to have a birthday on each of 365 days in the year, compute (a) The expected number of days of the year that are birthdays of exactly 4 people:
Answers
Answer:
0.0157
Step-by-step explanation:
From the information given:
The sample size = 70
The expected no. of days of year that are birthday of exactly 4 people is:[tex]P = \bigg [ \dfrac{1}{365} \bigg]^4[/tex]
The expected number of days with 4 birthdays = [tex]\sum \limits ^{365}_{i=1} E(x_i)[/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ ^{70}C_{4} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{70-4} \bigg][/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ \dfrac{70!}{4!(70-4)!} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{66} \bigg][/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ 916895 \times 5.6342 \times 10^{-11} \times 0.8343768898 \bigg][/tex]
= 0.0157
Therefore, the required probability = 0.0157
A line has a slope of 9 and passes through the point (4, 5). What is its equation in point-slope form?
Answers
Answer:
y - 5 = 9 (x-4)
Step-by-step explanation:
Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts. How much cracked corn does Alaina need to make 5 lb of birdseed mix? Show your work.
Answers
Answer:
2 1/3+5/6+1/6= 3 1/2
Step-by-step explanation:
Change your denominator to 6 and add then reduce if possible