Answer:
a = √5
b ∈ (−∞,∞)
Step-by-step explanation:
(7 + 3√5)/(3 + √5) - (7 - 3√5)/(3 - √5) = a + b√5
⇔ (7 + 3√5)(3 - √5)/(3 + √5)(3 -√5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5
⇔ (7 + 3√5)(3 - √5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5
⇔ 4√5/4 = a + b√5
⇔ √5 = a + b√5
⇔ b = (5 - a√5)/5
Replace b with (5 - a√5)/5
⇒ a + (5 - a√5)/5 = √5
⇔ a × 5 + (5 - a√5)(5)/5 = √5 × 5
⇔ a × 5 + 5 - a√5 = 5√5
⇔ a × 5 - √5 × a = 5√5 - 5
⇔ a(5 - √5) = 5√5 - 5
⇔ a = √5
Which of the following is equal to 6 - (-5) ?
A -11
B 1
C 11
Answer:
c 11
Step-by-step explanation:
6-(-5)=6+5=11
Answer:
C.) 11
the two negatives cancel each other out just making it
6 + 5
Please help urgent full explanation or short either one
Answer:
5 X 6= 30 divided by 3 = 10 -2 = 8
Step-by-step explanation:
the symbols you will insert from left to right will be X, ÷,- for the equation to make sense
Answer:
[tex]5 \times 6 \div 3 - 2[/tex]
Step-by-step explanation:
PEMDAS
first multiply 5 by 6 = 30
then divide by 3 = 10
subtract 2 = 8
One dice and one coin are tossed. What is probability that you will see HEAD on coin and dice will show a number
more than 4. Answer should be in reduced fraction format.
Answer:
1/6
Step-by-step explanation:
1/2 multiplied by 1/3
Modal 9 10 11 14 19 22 27 29 21 18 11 6
Answer:
modal is 11. it's the correct answer
if f(x) = log3x then f(3) = __ and f(27) = __
Answer:
f(3)=log9 and f(27)=log81
The gas consumption of a vehicle varles directly as the distance traveled. If a
certain vehicle uses 15 gallons to travel 263 mlies, how many miles would it travel
on 9 gallions of gas?
Answer:
It would travel 157,8 miles with 9 gallons of gas.
Step-by-step explanation:
15 gallons / 263 miles
= 3 gallons / 52,6 miles
= 9 gallons / 157,8 miles.
what is this cuz i need help
Write a division problem that has a quotient of 9/10 .
At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or improper fraction. Neither the dividend nor the divisor can be 9/10 .
Answer:
Ill answer this if you answer mine , |a+5|, if a is <-5
Step-by-step explanation:
Find the solution of the following equation whose argument is strictly between 90° and 180°.
Answer:
180degreesStep-by-step explanation:
Given the complex value
z² = -81i
z = (-81i)^1/2
Get the argument of -81i
theta = arctan(y/x)
theta = arctan(-81/0)
theta = -90degrees
theta = -π/2
Since tan is negative in the secind quadrant
theta = π - π/2
theta = π/2
According to demoivres theorem
theta = 1/2 * π/2
theta = π
theta = 180degrees
help please! i need this rn
NO LINK PLEASE
Answer:
hey dude option b is the correct answer
What is the volume of the triangular prism 3.2 CM 5.4 CM 6 CM
Answer:
You must tell me which is the base , width , and height please and thank you
Step-by-step explanation:
Include a picture if you have one too
Please helpppppp i will mark brainlisttttt!!!!!!!
Answer:
90-53=37 so I'm pretty sure ur last angle is 37 also because 90+53+37=180
Determine the value of S in the equation 5s +3/2=9/4
Answer:
The value of s in the above equation
s = 0.15
jiao is a chinese student visiting family in the united states. she spent $79 on dinner for her family one evening. if the exchange rate that day is UDS to CNY = 6.51, approximately how much money did she spend in CNY?
A 12
B 125
C 495
D 857
Answer:
That day Jiao spent $CNY 514.29.
Step-by-step explanation:
Given that Jiao is a Chinese student visiting family in the United States, and she spent $ 79 on dinner for her family one evening, if the exchange rate that day is UDS to CNY = 6.51, to determine approximately how much money did she spend in CNY the following calculation must be performed:
79 x 6.51 = X
514.29 = X
Therefore, that day Jiao spent $ CNY 514.29.
value is 12, mean is 20, and standard deviation is 2.8
Lets find the upperlimit and lower limit of data .
Lower limit=Mean-SD=20-2.8=17.2Upper limit=Mean+SD=20+2.8=22.8Hence the value 12 isn't included in data
Step-by-step explanation:
Lower limit= Mean-Standard Deviation=17.2
Upper limit=Mean+ Standard Deviation= 22.8
Hence, 12 isn't included in data
reduce 2 hours 15 minutes 11 seconds to seconds
Answer:
8,111 Seconds
Step-by-step explanation:
please help me im really struggling in math and the year is almost over im trying to get as much done as possible
Answer:
It would be 11, 23, and 33
Step-by-step explanation:
because, 2 side of the triangle should add up to greater than your other side of the triangle. And so on for each of the sides.
0/1
2(x + 3) + 5y
when
x= 5 and y= 4
Answer:
36 is the answer here
Step-by-step explanation:
Well when you subsitute the given values
x=5
and
y=4
2(5+3)+5*4
Now solve it normally like what you would do with orders of operation
10+6+20
Left to right
36
write the equation of lines shown on the graph.
Answer: um look it up or cause i dont know how to get out of answering this cause i clicked answer so this is here my bad
Step-by-step explanation:
to spend to much traveling and country the day she arrived the exchange rate was 1.4 country a dollars Per country B dollars if she exchange 500 country B dollars when she arrived how many country eight dollars she receive
Answer:
She receives 700 country A dollars.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
1.4 country a dollars Per country B dollar
She exchanges 500 country B dollars, so:
1.4 country A dollars - 1 country B dollar
x country A dollars - 500 country B dollars
Applying cross multiplication:
[tex]x = 1.4*500 = 700[/tex]
She receives 700 country A dollars.
solve the following equation 1÷x=2
Answer:
Your answer would be x = 1/2
Step-by-step explanation:
1/x = 2
You would divide x on both sides...then they would cancel each other out.
But now you're left with...
1 = x•2
So, re-order the terms so constants are on the left
1 = 2x
Divide 2 on both sides...
Now you're left with
1/2=x or more practically it would be x = 1/2
Hope this helps!
What is the least common multiple of 4 and 10?
02
0 4
20
40
Answer:
the answer is 20
two girls want to share 1 1/2 granola bars so that each one gets the same amount. how much will each girl get.
Answer:
3/4
Step-by-step explanation:
Each one of them will get 3/4 or 0.75
Answer:
3/4 or 0.75
Step-by-step explanation:
1 1/2 divided by 2 is 3/4 or 0.75
Check:
3/4+3/4=6/4=1 1/2
Hope this helps! Have a nice day :)
Joseph is going on a trip and he needs to rent a car. He looks online and finds two companies that offer different pricing options for car rentals. Company A charges $0.25 per mile plus a $50 rental fee. Company B charges $0.45 per mile plus a $20 rental fee.
What is the maximum number of miles that Joseph can drive in order for Company B to be a better buy? The company charges only for whole number mileage (not fractional increments of miles driven).
A) 125 miles
B) 149 miles
C) 150 miles
D) 151 miles
Answer:
E.The price for travelling 150 miles is same for both company.
Step-by-step explanation:
We are given that Joseph is going on a trip and he needs to rent a car.
Company A
Charge $0.25 per mile plus $50 rental fee.
Company B charges 40.45 per mile plus $20 rental fee.
A.Total distance=150 miles
Company A
Charges for 150 miles=$37.5
Total charges=37.5+50=$87.5
Company B
Charges for 150 miles==$67.5
Total charge=20+67.5=$87.5
The price for travelling 150 miles is same for both company.
But if distance greater than 150 miles such 155 miles
Company A
Total charge=$88.75
Company B
Total charges=$89.75
Company A is better deal if Joseph more than 150 miles.
If distance 145 miles
Price form company A=$86.25
Price form company B=$85.25
Company B is better deal if Joseph travel less than 150 miles.
Hence, option E is true.
I hope this helps you <3333
Find the area of the pomposite figure
Answer:
1 ft
Step-by-step explanation:
if its wrong let me know
Answer:
Hello! answer: area = 649
Step-by-step explanation:
Formula for area of squares: base × height
Formula for area of triangles: base × height ÷ 2
15 × 22 = 330 330 ÷ 2 = 165 22 × 22 = 484
165 + 484 = 649 therefore the area is 649
Determine whether the underlined numerical value is a parameter or a statistic. Explain your reasoning. for a certain movie 64.3% of the 112 members of the audience were females
Answer:
The given numerical value is a Parameter.
Step-by-step explanation:
Given - For a certain movie 64.3% of the 112 members of the audience were females.
To find - Determine whether the underlined numerical value is a parameter or a statistic.
Proof -
Given that, 64.3% of the 112 members of the audience were females.
Now,
64.3% of 112 = [tex]\frac{64.3}{100}*112[/tex] = 72.016
Since it is not a perfect number
And Human can not be in fraction
So,
The given numerical value is a Parameter.
NEED DONE ASAP!!
Solve. Show your steps
A.3x2 + 4 = 52
B.x2 - 121 = 0
C.(b + 4)2 = 49
Answer:
A. 3x^2 + 4 = 52
3x^2 = 52 - 4
3x^2 = 48
x^2 = 48/3
x^2 = 16
x = [tex]\sqrt{16}[/tex]
x = 4
B. x^2 - 121 = 0
x^2 = 121
x = [tex]\sqrt{121}[/tex]
x = 11
C. (b + 4 )2 = 49
2b + 8 = 49
2b = 49 - 8
2b = 41
b = 41/2
Construct a histogram for the following data set: 11, 17, 13, 2, 22, 18, 16, 14, 16, 21, 17, 9, 9, 7, 3
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
5mm
Answer:
1. is 5mm like the diameter or the radius and 2. the formula is V=4 /3πr^3
Step-by-Step Explanation:
5.
13 points
A piece of jewelry that regularly costs $120 is on sale for $96. What is the percent of decrease in the
price of the jewelry piece?
A 15%
B 20%
C 18%
D 30%
Answer:
The answer is B
Step-by-step explanation: