Answers
Answer:
1)
[tex]12\sqrt{18}-3\sqrt{50}+\sqrt{32}[/tex]
[tex]12\sqrt{9}\sqrt{2}-3\sqrt{25} \sqrt{2} +\sqrt{16} \sqrt{2}[/tex]
[tex]12\times3\sqrt{2} -3\times5\sqrt{2}+4\sqrt{2}[/tex]
[tex]36\sqrt{2}-15\sqrt{2}+4\sqrt{2}[/tex]
[tex]25\sqrt{2}[/tex]
2)
[tex]\frac{1}{5+2\sqrt{6}}[/tex]
Multiply [tex]5-2\sqrt{6}[/tex]:
[tex]\frac{1\times \left(5-2\sqrt{6}\right)}{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}[/tex]
Apply Difference of Squares formula: [tex](a+b)(a-b)=a^2-b^2[/tex]
[tex]\frac{5-2\sqrt{6}}{5^2-\left(2\sqrt{6}\right)^2}[/tex]
[tex]\frac{5-2\sqrt{6}}{25-2^2\left(\sqrt{6}\right)^2}[/tex]
[tex]\frac{5-2\sqrt{6}}{25-4\times6}[/tex]
[tex]\frac{5-2\sqrt{6}}{1}[/tex]
[tex]{5-2\sqrt{6}}[/tex]
a = 5, b = -2
Related Questions
40. A pendulum in a museum swings through
an angle of 60° in 17.3 s. The linear velocity
of the pendulum is 1.32 ft/s. Determine the
length of the pendulum.
Answers
Answer:
21.81 ft
Step-by-step explanation:
For an arc of measure α and radius r, the arc length is ...
s = r·α . . . . . . where α is in radians
Then the linear speed is ...
s' = r·α'
Here the rate of change of arc angle is (π/3)/(17.3) rad/s, so the radius can be found to be ...
r = s'/α/ = (1.32 ft/s)/((π/3)/17.3 rad/s) = 1.32·3·17.3/π ft
r ≈ 21.81 ft
The length of the pendulum is about 21.81 feet.
Is there a transformation that maps shape 1 into shape 5
Answers
Answer:
yes
Step-by-step explanation: if you reflect the shape over the x-axis it falls right onto #5
Hope this helps :)
-7/2 x 1/6 (make it a fraction) (simplified)
Answers
The answer would be -7/12
Step-by-step explanation:
What you would do is
a/b×c/d=ac/bd
this would be the formula
so what you would do is -7 (which is the numerator X the other numerator which equals -7 times 1= -7
then you would do 2 X6= which is 12 so the answer would be 7/12 because you can't simplify it anymore
Help please picture attached
Answers
Answer:
-10
Step-by-step explanation:
3/5(b)=-6
Divide -6 by 3/5, you get -30/3.
Explain how you can write an equation for the given situation in standard form. One number is 5 more than a second number. The product of the two numbers is 891.
A) Let x be the smaller number, and then x+5 is the larger number. This means that x(x+5)=891, which can be rewritten as x^2+5x-891=0
B) Let x be the smaller number, and then x+5 is the larger number. This means that x+(x+5)=891, which can be rewritten as 2x-886=0
C) Let x be the smaller number, and then x+5 is the larger number. This means that x(x+5)=891, which can be rewritten as x^2+5x+891=0
D) Let x be the smaller number, and then x+5 is the larger number, This means that x+5/x=891, which can be rewritten as 890x-5=0
Answers
Answer:
you figure it out
Step-by-step explanation:
Number one is going to be N1
Number two is going to be N2
Product of the two numbers combined is going to be 891
N1= N2 +5
N1 + N2 = 891
(N2+5) + N2 = 891
N2 +5 +N2 =891
2N2 + 5 =891
im gonna let you figure the rest out
Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°.)
(5x+60)
Answers
5 times 60 = 300
300 + 60 = 360 :)
Evaluate 8.5 +(-A) for A = -7.1
Answers
Answer:
15.6 = A
Step-by-step explanation:
8.5 + ( - (-7.1))
8.5 + 7.1
15.6
Find me midpoint of -9 and 6
Answers
Answer:
-3/2 or -1.5
Step-by-step explanation:
1) Write out the numbers:
-9, -8, -7, -6, -5, -4, -3, [-2, -1] 0, 1 , 2, 3, 4, 5, 6
2)-2 and -1 are in the middle
3)Add the numbers in the middle and divide by 2
Add the 2 numbers: (-2)+(-1)=-3Divide by 2: -3/2 Answer: -1.5
What is the slope of the line through(-4,2) and (3,-3)?
Answers
Answer: [tex]-\frac{5}{7}[/tex]
Step-by-step explanation:
To find the slope of the line, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{-3-2}{3-(-4)} =\frac{-5}{7}[/tex]
Now we know the slope is [tex]-\frac{5}{7}[/tex].
what is 1 7/8 rounded to the nearest yards?
Answers
which is the solution to this system of equations?
2x+y=8
2x+y=4
Answers
Answer:
2x+y=8
x=3 y=2
2x+y=4
x=1.5 y=1
Step-by-step explanation:
I dont have a step by step answer but i hope this helps!
Which number line represents all of the values of x for the equation x? = 647
-032-16
7
32
-10
-32-
32
12-16
32
40
-4032-N-16
-
16
3240
Answers
Answer:
the 2nd answer.
Step-by-step explanation:
8*8 = 64.
-8 * -8 = 64
The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. Here is a list of the high temperatures, in degrees Celsius, for the second week. A. What is the mean temperature for the second week? B. What is the mean absolute deviation for the second week? C. Which week had greater variability in high temperature? Explain your reasoning. (When necessary, round all answers to the nearest hundredths place. Type all answers below.
Answers
Answer:
(A) The mean temperature for the second week is 4.86 degrees Celsius.
(B) The mean absolute deviation for the second week is 4.86 degrees Celsius.
(C) The second week had greater variability in high temperature.
Step-by-step explanation:
We are given that the daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius.
Here is a list of the high temperatures, in degrees Celsius, for the second week;
5, 9, 7, 0, 3, 5, 5
(A) The mean temperature for the second week is given by;
Mean = [tex]\frac{\text{Sum of all data values}}{\text{Total number of values}}[/tex]
= [tex]\frac{5+9+7+0+3+5+5}{7}[/tex]
= [tex]\frac{34}{7}[/tex] = 4.86 degrees Celsius
(B) Mean absolute deviation for the second week is calculated as;
Firstly, subtracting mean from each data value;
| 5 - 4.86 | = 0.14
| 9 - 4.86 | = 4.14
| 7 - 4.86 | = 2.14
| 0 - 4.86 | = 4.86
| 3 - 4.86 | = 1.86
| 5 - 4.86 | = 0.14
| 5 - 4.86 | = 0.14
Now, we will find the mean of these deviations;
Mean absolute deviation = [tex]\frac{0.14+4.14 + 2.14+4.86+1.86+0.14+0.14}{7}[/tex]
= [tex]\frac{13.42}{7}[/tex] = 1.92 degrees Celsius
(C) The second week had greater variability in high temperature because it's mean absolute deviation is greater than that of first week. And also the mean absolute deviation tells us that on average how far the data values are from the mean.
what will be number of zeros in the square of the number 100? pls answer fasttttttttttt
Answers
Answer:
4
Step-by-step explanation:
The square of 100 means that 100 is being multiplied by itself. So the square of 100 is 100x100 = 10,000
Whenever you multiply a number by a multiple of 10, you simply add the number of 0s onto the end of the original number, so 100 originally has 2 zeros, so multiplying by 100 will add on another 2 zeros.
So, the number 10,000 which is the square of 100 has 4 zeros.
Hope this helped!
I need help please help me
Answers
Answer:
22/3
Step-by-step explanation:
a ÷ (b/c) = (a*b) ÷ c
[tex]\frac{2}{\frac{3}{11} } = \frac{2*11}{3} = \frac{22}{3}[/tex]
Answer:
[tex]7\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{\frac{3}{11} } \\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{\frac{b}{c}}=\frac{a\times\:c}{b}\\\\=\frac{2\times\:11}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:2\times\:11=22\\=\frac{22}{3}\\\\22\div 3 =7\: remainder 1\\\\= 7\frac{1}{3}[/tex]
[50pts] In the image above, are lines s and r parallel? Explain.
Answers
Answer/Explanation:
Yes, lines s & r are parallel, because they do not meet at any point on the plane!
Please mark brainliest!!! =D...Also, it says 25 points, not 50...
Answer:
yes! lines s and r are parallel meaning they will never touch.
Step-by-step explanation:
(7x+2y)^2-25y^2 factorise this pls.
pls help me!! Any body there!!
Answers
Answer:
(7x + 5y) (7x - 5y)
A watch was brought
for a rs 4444. At what price
sold to gain
should it be
rs 444?
Answers
Answer:
Hence, the watcg must be bought at rupees 4888
Step-by-step explanation:
Let the desired selling price of the watch be x
Cost Price of the watch = 4444
We know that if Cost Price < Selling Price,
Selling Price - Cost Price = gain
When we substitute we get,
x-4444=444
x= 4888
D
Question 4
True or False:4.65 is less than square root 32 is
True
False
Answers
What is the solution of the following one-step equation?
10. X + 5 = 10
a. X = -15 c. X = 5 b. X = 15 d. x = -5
Answers
Answer:
x = 5
Step-by-step explanation:
Given
x + 5 = 10 ( isolate x by subtracting 5 from both sides )
x = 5
Point P is 3/4 of the way from A to B. What are the coordinates of
point P?
В
2
x
-2
O
-2
A
O (-6.5, -9.5)
O (-3.5, 1.25)
O (1.5, 5.25)
O (-4,-0.5)
Answers
Answer:
B. (-3.5, 1.25)
a^2+b^2=c^2 for c
algebra 2
Answers
Answer:
D
Step-by-step explanation:
c = √(a² + b²) is correct because to isolate c you need to square root everything while still keeping a^2+b^2 together.
4+(9x2)÷(4-1)-4 simplify by using order of operations
Answers
The answer is 6
4+ (9*2)/ (4-1)-4
4+ 18 /3 -4
PEMDAS Rules state that you have to do division first in this equation
4+6-4
PEMDAS states that you have to do addition then subtraction but it depends if subtraction is first in the equation. BUT in this equation you have to addition.
10-4
6
I hope this helps and I hope you have a great day
The required simplified value of the expression is 6.
Given that,
An expression is given 4+(9x2)÷(4-1)-4,
To simplify the given expression.
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements.
⇒ simplification
= 4+(9x2)÷(4-1)-4
Step 1 applies to the multiply and subtraction operation in the parenthesis.|
= 4 + (18) ÷ (3) - 4
Step 2 following the PEMDAS rule division of 18 by 3,
= 4 + 6 - 4
Step 3 association of termes,
= 6
Thus, the required simplified value of the expression is 6.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Question 7
2 pts
Carlos is planning to buy a new video game. He checked the price for two
games that he would like to buy. The Super Mario game costs $56.48. The
Zelda game costs $38.99. Estimate how much money will Carlos save if he
buys the Zelda game. Explain how you rounded the numbers. Include an
equation to represent how you estimated.
Edit
Insert Format Tools Table
12pt
Paragraph
BI
U
T?
:
Answers
Answer:$15-$20
Step-by-step explanation:
56.48 is about 55 38.99 is about 40. 55-40 = 15
Which of the following is a zero-dimensional geometric object?
A. A ray
B. A point
C. A line
D. A plane
Answers
Answer:
a point
Step-by-step explanation:
Answer
A point.
Step-by-step explanation:
Which expressions have a sum of 12?
Answers
Answer:
First one.
Step-by-step explanation:
4+(-8) -10+22 =12
24+(-12) 0+ (-12) =-24
Please brainliest! Im on my way to another rank!
The expression 24 + (-12) has a sum of 12 after applying the arithmetic operation options (b) and (c) is correct.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that:
The expressions are shown in the picture.
After solving using Arithmetic operation:
Take the expression:
= 24 - 12
= 12
-10 + 22
= 12
Thus, options (b) and (c) are correct.
Learn more about the arithmetic operations here:
brainly.com/question/25834626
#SPJ2
Julie and her family go to the movies. They buy 2 adult tickets and 3 child tickets. An adult ticket costs $3.50 more than a child ticket. Julie's family spends $35.75. What is the cost of the adult ticket?
HELP PLS
Answers
Answer:
$9.25
Step-by-step explanation:
let x = the cost of a child ticket
3(x)+2(x+3.50)=35.75
3x+2x+7=35.75
5x=28.75
x=5.75 cost of child ticket
5.75+3.50= 9.25
Answer:
$9.25
Step-by-step explanation:
Start by multiplying 2 by 3.5. This will give you 7. Then subtract 7 from 35.75, which gives you 28.75. This is the full amount for five child tickets. Then you want to divide 28.75 by 5, giving you 5.75. This is the amount for a single child ticket, and because we know that an adult ticket is 3.50 more than a child ticket, you add 3.50 and 5.75, which gives you your final answer of 9.25.
Can someone please help me with this math problem I really need help and it’s due today. Please help
Answers
Answer: just divide and its prett easy from there
Step-by-step explanation:
A surf instructor has an initial fee of $12 and charges $8 per hour for lessons,
explain how to determine what the y-intercept is and where it would be located on a graph.
Please help me, i'm stupid and i don't know where, or how to find this.
Answers
Answer:
I am stuck on that question tooo
Step-by-step explanation:
Step-by-step explanation:
First, let's write an equation.
h= numbers of hours, the instructor will charge $8 per hour.
s= amount of $
"12" is the initial fee.
From this information the equation will look like:
s=8h
However, on our graph, we will have to start on 12 since this was the initial fee. (so on the y, put a dot on 12.)
I think that (0, 12) is the y-intercept but I'm not entirely sure. In reality, your graph can't have any negative h(x) or y(s) values so the graph would be shaped like an "L".
f(x) = 4x – 10
g(x) = -8x2 + 6x – 10
Find: f(x) · g(x)
Answers
Answer: f(x) · g(x)=-32x³+104x²-100x+100
Step-by-step explanation:
Since we are given f(x) and g(x), all we have to do is multiply them together.
f(x) · g(x)=(4x-10)(-8x²+6x-10) [distribute by FOIL]
f(x) · g(x)=-32x³+24x²-40x+80x²-60x+100 [combine like terms]
f(x) · g(x)=-32x³+104x²-100x+100
Now, we have multiplied them together, we have f(x) · g(x)=-32x³+104x²-100x+100.