Answer:
StartFraction StartRoot 30 EndRoot minus 3 StartRoot 2 EndRoot + StartRoot 55 EndRoot minus StartRoot 33 EndRoot Over 2Step-by-step explanation:
Given the surdic equation as shown [tex]\frac{\sqrt{6}+\sqrt{11} }{\sqrt{5}+\sqrt{3} }\\[/tex]
To find the quotient, we will rationalize by multipying both numerator and denominator of the function by the conjugate of the denominator.
Given the denominator [tex]\sqrt{5}+\sqrt{3}[/tex], its conjugate will be [tex]\sqrt{5}-\sqrt{3}[/tex]
Multiplying through by [tex]\sqrt{5}-\sqrt{3}[/tex], we have;
[tex]= \frac{\sqrt{6}+\sqrt{11} }{\sqrt{5}+\sqrt{3} } * \frac{\sqrt{5}-\sqrt{3} }{\sqrt{5}-\sqrt{3} }\\[/tex]
[tex]= \frac{\sqrt{30}- \sqrt{18}+\sqrt{55}-\sqrt{33}}{2}\\= \frac{\sqrt{30}- \sqrt{9*2}+\sqrt{55}-\sqrt{33}}{2}\\= \frac{\sqrt{30}- 3\sqrt{2}+\sqrt{55}-\sqrt{33}}{2}[/tex]
The final expression gives the requires answer
Answer: B. square root 30- 3 root 2 plus square root 55- square root 33/ 2
Step-by-step explanation:
its right
If the expression f^2+g^4-2f+1 is rewritten in the form a^2+(g^2)^2, what must be the value of a?
Answer: √(f^2 - 2f + 1) = a
Step-by-step explanation:
We have that:
f^2+g^4-2f+1 = a^2+(g^2)^2
And we want to find the value of a, so we should isolate it.
f^2 + g^4 - 2f + 1 = a^2 + g^(2*2) = a^2 + g^4
where i used that (x^y)^z = x^(y*z)
We can remove the term g^4 in both sides of the equation and get:
f^2 - 2f + 1 = a^2
now we can apply the square rooth to both sides and get
√(f^2 - 2f + 1) = a
So we just found the value of a.
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 5 child bikes and 15 adult bikes in the week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
4c + 6a ≤ 120:
You can set up the inequality 4c + 6a ≤ 120, because it takes 4 hours to build per child bike (c) and 6 hours to build an adult bike (a), all together this time cannot surpass 120 hours. That is why you use the 'less than or equal to' sign.
4c + 4a ≤ 100:
You can then set up the inequality 4c + 4a ≤ 100, because it takes 4 hours to test a child bike (c) and 4 hours to test an adult bike (a). Since 100 hours is the max amount of time they can use to test out bikes, you will use the 'less than or equal to' sign.
4(5) + 6(15) = 20 + 90 = 110. 110 is less than 120
4(5) + 4(15) = 20 + 60 = 80. 80 is less than 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Answer:
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
I took the test on FLVS
In ΔLMN, the measure of ∠N=90°, ML = 97, NM = 65, and LN = 72. What ratio represents the tangent of ∠L?
Answer:
The tangent of ∠L represents the ratio between side NM and side LN.
The value of this tangent is 0.9028
Step-by-step explanation:
The angle ∠N is 90°, so we have a right triangle. In a right triangle, the tangent of an angle represents the ratio between the opposite side of that angle and the adjacent side (the cathetus, not the hypotenusa) of that angle.
So, in the triangle LMN, the opposite side to the angle ∠L is NM, and the adjacent side is LN (ML is the hypotenusa, because it is the bigger side). The value of this tangent is:
tan(L) = NM / LN = 65 / 72 = 0.9028
Answer:
65/72
Step-by-step explanation:
deltamath gave me the answer
Can someone please help me solve this??
26·(7y+5+3)=1,300
Answer:
y=6
Step-by-step explanation:
step 1:
26 • (7y + 8) - 1300 = 0
Step 3:
Pulling out like terms :
3.1 Pull out like factors :
182y - 1092 = 182 • (y - 6)
Equation at the end of step 3:
182 • (y - 6) = 0
Step 4 :
Equations which are never true :
4.1 Solve : 182 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.2 Solve : y-6 = 0
Add 6 to both sides of the equation:
y = 6
HEY GUYS I NEED HELP WITH THIS PLZZ! write down everything from the detail of how yall found ur answer plzz! 20 points or more...
Math problem: Julie went shopping. She spent ⅙ of her money on books, ⅛ of her money on shoes and $5 on food. She had $13.50 left. Write an equation to represent this information. Solve the equation to find how much money she had at the beginning of the day?
Answer:
1/6+1/8+$13.50+$5=x
x=$18.79
Step-by-step explanation:
i add them
first i find the common denominator for 1/6 and 1/8
then i add 13.50 by 5
then add 18.50 by 7/24
i hope this explains how i got my answer
Answer:
Total amount of $ at beginning of day ⇒ ( About ) $ 26.1
Step-by-step explanation:
Let us say x represents ⇒ amount of $ at the beginning of the day;
If she spent 1 / 6 of this total money on books, we can say that the amount spent on books is 1/6x. Consecutively if 1/8 of this money was spent on shoes, the amount spent on shoes is 1/8x;
Knowing that $13.50 was remaining, let us set up the following equation;
x - ( 1/6x + 1/8x + 5 ) = 13.50 ⇒ now let us solve for x,
x - ( 1/6x + 1/8x + 5 ) = 13.50 ⇒ add similar elements, expanding,
x - ( 7/24x + 5 ) = 13.50 ⇒ distribute the minus sign
x - 7/24x - 5 = 13.50 ⇒ multiply either side by 24,
17x - 120 = 324 ⇒ add 120 to either side,
17x = 444,
Solution; Total amount of $ at the beginning of day ⇒ ( About ) $ 26.1
A model airplane is built at a scale of 1 inch to 6 feet. If the model plane is 8 inches long, how many feet long is the actual airplane?
Type your answer as a whole number in the box below.
_____ feet
The airplane is 48 feet long in real dimensions.
To find out how long the airplane actually is, we can use the scale and input our amount of inches that it is measured by.
So, 1 inch equals to 6 feet.
Our model plane is 8 inches.
Now, we plug it in.
8 inches = 6(8)
8 inches = 48 feet
Therefore, the length of the real airplane is 48 feet.
48 feet
Answer:
48 feet
Step-by-step explanation:
Let's create a proportion using the following setup.
inches/feet=inches/feet
We know the scale is 1 inch to 6 feet. We also know that the plane is 8 inches long, but we don't know how many feet long it is, so we can say x feet.
1 inch/6 feet= 8 inches/ x feet
1/6=8/x
Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Multiply the denominator of the first by the numerator of the second.
1*x=6*8
x=6*8
x=48
Add appropriate units, in this case: feet.
x= 48 feet
The actual airplane is 48 feet long.
Answer This Question Please
10 points
Answer:
I have 5 friends each friend gives me an equal piece of cookie. at the end I have 5 pieces of cookie that equal one cookie!
Step-by-step explanation:
PLZ MARK ME BRAINLIEST!
PLSS ANSWER NOW I WILL RATE 5 STARS AND WILL GIVE BRAINLIEST
If you sleep 8 hours out of 24 hours, what percent of the time do you sleep?
Answer:
8/24 = 1/3
1/3 = 0.3333
0.3333 = 35%
Step-by-step explanation:
Answer:
(8 / 24) x 100 = 33.33 %
Step-by-step explanation:
You build a seahorse hotel that’s 6 inches wide and 12 inches tall. It has a volume of 864 cubic inches. What is the hotel’s length?
Answer:
864/(6*12)
864/72
12 = l
Answer:
Step-by-step explanation:
V = l * b * h
l = V/(b * h)
L = 864/(6*12)
L = 864/72 = 12 inches
Which of the following is a rational number?
A rational number is a number that can be written as a fraction.
The square root of 34 is equal to ~5.83. This number cannot be written as a fraction.
Pi is not a rational number. Its digits stretch into infinity and it does not have any factors.
The square root of 64 is a rational number. The square root of 64 is 8, which can be written as a fraction, as well as being an integer.
The square root of 102 is equal to ~10.1. This is not a rational number and cannot be written as a fraction.
Therefore, the square root of 64 (Or 8) is a rational number.
Hope this helps! :)
find the slop of the lines containing the following points
Answer:
7/2
Step-by-step explanation:
The slope of the line is given by
m = (y2-y1)/(x2-x1)
= (12-5)/(3-1)
= 7/2
Choose the function that represents the data in the table.
X
f(x)
0
-3
1
-1
2
1
3
3
4
5
5
7
f(x) =} - 3
f(x) = 2x-3
f(x) = x2 – 3
f(x) = 2x² – 3
Answer:
b
Step-by-step explanation:
A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of the second number and 5. The situation can be represented by using the graph below, where x represents the second number. On a coordinate plane, a line goes through (0, 3) and (8, 7) and another line goes through (0, 5) and (8, 7). Which equations represent the situation? y= one-half x + 3 and y = one-fourth x + 5 y = 3 x + one-half and y = 5 x + one-fourth y = 2 x + 3 and y = 4 x + 5 y = 3 x + 2 and y = 5 x + 4
Answer:
answer A)
Step-by-step explanation:
y=1/2+3 And y=1/4+5 hope this helps
Answer:
Your Answer will be A!!!!
Step-by-step explanation:
y= one-half x + 3 and y = one-fourth x + 5
can someone please help
What is the value of (3-54(2)- 16:22
O _40
-16
o 24
56
So the right answer is 24.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
24
Step-by-step explanation:
Solve according to PEMDAS. Perform the operation inside the parentheses first, then evaluate exponents, multiply, divide, add and subtract.
(3-5)^4(2)-16/2
First, perform the operation inside the parentheses. Subtract 5 from 3.
(-2)^4 (2) -16/2
Next, evaluate the exponent. -2^4 is the same as multiplying -2, 4 times.
-2*-2*-2*-2=16
So, -2^4 is equal to 16
16(2)-16/2
Multiply 16 and 2.
32-16/2
Divide 16 by 2
32-8
Subtract 8 from 32
24
The correct answer is 24
Which of the following equations describes the graph?
Answer:
Option D y=-3x^2 +4
Step-by-step explanation:
This is the correct answer because the graph is going down which shows that it is negative and the y intersect is +4
If the function rule is to multiply by 4, and an output value is 8, what is the input value?
a. 32
b. 16
c. 8
d. 2
Answer:
d. 2
Step-by-step explanation:
if you have to find the input just do the output divided by the muliply by which gives you the input
Which situation can be modeled by the inequality 7x+6<30?
Answer:
I believe the answer would be the one involving dai's project.
Step-by-step explanation:
i hope this helps!
stay safe.
The correct question which can be modeled by the inequality
7x + 6 < 30 is,
⇒ Dai must complete a project in less than 30 days. He work on a project 7 days each. To date, 6 days have already passed. What is greater number of weeks Dai has left to complete the project.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The inequality is,
⇒ 7x + 6 < 30
So, For the given inequality, the correct question is,
⇒ Dai must complete a project in less than 30 days. He work on a project 7 days each. To date, 6 days have already passed. What is greater number of weeks Dai has left to complete the project.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
The set of skills and knowledge needed to make informed decisions about
money matters is called
A. career literacy
B. financial literacy
C. family literacy
D. educational literacy
Answer:
The correct answer is option B. financial literacy
Step-by-step explanation:
|5−4r|=17 find r Answer in as many ways as possible IF you don't answer the question and fool around I will report you
Answer:
r1= -3
r2= (11/2)
Step-by-step explanation:
5-4r=17
-4r=17-5
-4r=12
r=13
and
5-4r=-17
-4r=-22
r= 11/2
can someone help me with problem 20,21,22
Answer:
20-e 21b 22-c
Step-by-step explanation:
please choose any two and help me answer i will be very grateful and will mark you brainliest
Answer:
18 and 20, 4
Step-by-step explanation:
Math reasoning 1:
Set the first number as x and the other one as x+2 because it is a consecutive even number.
x+x+2=38
2x=36
x=18
18+2=20
The 2 consecutive numbers are 18 and 20
Problem solving 1:
Write out equation first, set the unknown number as x
5+x=9
x=4
Answers:
Top Yellow: 2(n+7) = 13
Bottom Red: 5(n-2) = 4
Step-by-step explanation:
Top Yellow Example: 2 times the sum of the number x and 7 is 13. Use words in the sentence to replace them with mathematical symbols. Sum is equal to +, etc. 2(n+7) = 13 is your answer.
find the value of x help plz
Answer: 39 degrees
Step-by-step explanation: The box tells us that is a 90 degree angle. Subtract 90-51=39. They add to 90 degrees.
Answer:
Do you mean b? 39°
Step-by-step explanation:
90-51=39
Please mark as Brainliest! :)
Have a nice day.
Find the area of the figure to the nearest hundredth.
Answer:
[tex]=31.64ft^2[/tex]
Step-by-step explanation:
Triangle
[tex]A=\frac{h_{b}b }{2} \\=\frac{4*6}{2}\\=12ft^2[/tex]
Semicircle
[tex]A=\frac{\pi r^2}{2}\\=\frac{\pi 2.5^2}{2} \\=9.82ft^2\\[/tex]
because both semicircle are the same just multiply by 2
[tex]9.82*2\\=19.64ft^2[/tex]
Now add all together
[tex]12+19.64\\=31.64ft^2[/tex]
Answer:
31.64 ft*2
Step-by-step explanation:
Break down the problems by shapes-
1. Triangle= 4 x 6/2
=12 ft*2
2. Semi-Circle= 2.5/2 (sense their are two, we only need to solve one)
=9.82 ft*2
Multiply 9.82 by 2
=19.64 ft*2
Adding all together
12+ 19.64
=31.64 ft*2
(0.4)power of 2 =2(0.4)= 0.8
Describe AND correct the error in evaluating the power.
Plz answer
Answer:
(0.4)² = (0.4).(0.4) = 0.16
His error is, instead of raising (0.4) to exponent 2, he multiplied (0.4) by 2 , obviously which is wrong
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
(.4) ^2 = this means .4 times itself
.4*.4
.16
When the maximum value in a data set is exchanged for a higher
number, does it change any of the other numbers in the five-number
summary?
Answer:
It doesn't change any of the other numbers of the five number summary. Only the maximum value of the data set changes, out of the five number summary of the data set.
Step-by-step explanation:
The five number summary of any data set consists of five values which includes
- The maximum value of the data set.
- The minimum values.
- The lower quartile.
- The upper quartile.
- The median.
These values are usually presented together and ordered from lowest to highest: minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), maximum value.
Replacing the maximum value with a higher number doesn't change any of the other five number summary as they all position markers, whose values do not change because of changes at one end of the distribution as the positions of the other variables n the dataset are untouched.
This means that, of the five number summary, only the maximum value of the data set changes.
Although, values like the range, mean and standard deviation also change too.
Hope this Helps!!!
There is no change in any of the other numbers of the five number summary.
Only the maximum value of the data set is changed.
Data set of numbers :The five number summary of any data set consists of five values which includes
Maximum value of the data set. Minimum values. Lower quartile. Upper quartile. Median.The median divides the data into a lower half and an upper half.
The lower quartile is the middle value of the lower half. The upper quartile is the middle value of the upper half.
Learn more about the data set here:
https://brainly.com/question/25639778
Kerri attends a 40-minute yoga class 5 times per week. How much time does she spend in the yoga class over a 7-week period?
Answer:
1,400 minutes
Step-by-step explanation:
First, let’s find how much time she spends per week.
She attends a class that is 40 minutes long and she does this 5 times a week.
Therefore, we can multiply 5 and 40 to find the total time per week.
5*40
200
She spends 200 minutes per week and she does this over a 7 week period.
We can multiply 200 and 7
200*7
1,400
She spends 1,400 minutes in yoga class over a 7 week period.
Answer:
1,400 minutes.
Step-by-step explanation:
Kerri attends a 40-minute yoga class 5 times per week.
Multiply 40 by 5 to get the total minutes for one week:
[tex]40*5=200[/tex]
So, Kerri attends yoga classes for 200 minutes total for one week.
With that in mind:
[tex]\text {Total Minutes for a Week} * \text {Weeks} =\\\rightarrow 200 * 7=\\\boxed {1400}[/tex]
Kerri should attend yoga classes for a 1,400 minute total in a seven week span.
Between which consecutive years was the decrease in the price of gold per ounce greatest
A. 1972-73
B. 1973-74
C. 1974-75
D. 1975-76
Answer:
D. 1975-76
Step-by-step explanation:
In the picture attached, the price of gold per ounce is shown.
We can see that from the year 1972 to 1976 the only period in which the price decreased was in the period 1975-76, where prices decrease from approximately $220 per ounce to approximately $180 per ounce
Help with my homework please! Will give brainliest
Answer:
a) 72 cm^2
b) 9 cm^2
c) 9 cm^2
d) 60.39 cm^2
Step-by-step explanation:
a) the the length is 12 cm and the width is 6 cm. Area = lw
A=(12)(6)
A=72 cm^2
b) base equals 3 cm
Height equals 6 cm
A=1/2(3)(6)
A= 9 cm^2
c) base = 3 cm
height=6 cm
Area=1/2(3)(6)
A=9 cm^2
d) to to find the area of the parallelogram, You need to use Pythagorean theorem for one of the triangles.
3^2 + 6^2 = x^2
9 + 36 = x^2
45=x^2
✓45 = ✓x^2
x = 6.71 cm
12-3 = 9
now that you have all the sides for the parallelogram, multiply 6.71 times 9 to get the area.
A= 60.39 cm^2
help please im confused
Answer:
(2,7)(3,2)
Step-by-step explanation: