The value of √(7 * 23 - 1)/8 is 4.47, the values of a, b and c are -14/11, -10/11 and 3, respectively and the area of the shape is 5√5 + 5 square meters
How to evaluate the radical expression?The question goes thus:
If √5 = 2.236, evaluate √(7 * 23 - 1)/8
We have:
√(7 * 23 - 1)/8
Evaluate the product of 7 and 23
√(7 * 23 - 1)/8 = √(161 - 1)/8
Evaluate the difference of 161 and 1
√(7 * 23 - 1)/8 = √160/8
Evaluate the quotient of 160 and 8
√(7 * 23 - 1)/8 = √20
Express 20 as the product 4 and 5
√(7 * 23 - 1)/8 = √(4 * 5)
Expand the product
√(7 * 23 - 1)/8 = √4 * √5
Express √4 as 2
√(7 * 23 - 1)/8 = 2 * √5
Substitute √5 = 2.236
√(7 * 23 - 1)/8 = 2 * 2.236
Evaluate the product
√(7 * 23 - 1)/8 = 4.472
Approximate
√(7 * 23 - 1)/8 = 4.47
Hence, the value of √(7 * 23 - 1)/8 is 4.47
How to simplify the radical expression?The expression is given as:
(3√2 + 5√6)/(3√2 - 5√6)
Rationalize the above expression
(3√2 + 5√6)/(3√2 - 5√6) * (3√2 + 5√6)/(3√2 + 5√6)
Evaluate the product
(3√2 + 5√6)²/((3√2)² - (5√6)²)
Simplify the denominator
(3√2 + 5√6)²/(18 - 150)
This gives
[(3√2)² + (5√6)² + 2 *(3√2) * (5√6)]/(-132)
Simplify the numerator
[168 + 120√3]/(-132)
Simplify the fraction
-14/11 - 10√3/11
Hence, the values of a, b and c are -14/11, -10/11 and 3, respectively
How to determine the area?The area is calculated as:
A = 1/2 * (Sum of parallel bases) * Height
So, we have:
A = 1/2 * (4 + 3√5 + 6 - √5) * √5
Evaluate the like terms
A = 1/2 * (10 + 2√5) * √5
Evaluate the product
A = (5 + √5) * √5
Evaluate the product
A = 5√5 + 5
Hence, the area of the shape is 5√5 + 5 square meters
Read more about rational expressions at:
https://brainly.com/question/8008240
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Question:
What are the solutions to 3x^2 + 12x + 6 = 0?
Hint::
use the quadratic formula
Answer:
x₁ = - 2 + √2 , x₂ = - 2 - √2Step-by-step explanation:
[tex]3x^2 + 12x + 6 = 0\\\\a=3\,,\ b=12\,,\ c=6\\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\ x=\dfrac{-12\pm\sqrt{12^2-4\cdot3\cdot6}}{2\cdot3}=\dfrac{-12\pm\sqrt{144-72}}{2\cdot3}=\dfrac{-12\pm\sqrt{72}}{2\cdot3}=\dfrac{-12\pm6\sqrt{2}}{6}\\\\x_1=\dfrac{6(-2+\sqrt{2})}{6}=-2+\sqrt2\\\\x_2=\dfrac{6(-2-\sqrt{2})}{6}=-2-\sqrt2[/tex]
how do you solve 0.4m(40m-20n)
Answer:
= 16m2o−8mno
Step-by-step explanation:
6/54-x = 5/x
x=____
Answer:
x=−44/9
Step-by-step explanation:
6/54−x=5/xx
Simplifies to:
−x+1/9=5
Let's solve your equation step-by-step.
−x+1/9=5
Step 1: Subtract 1/9 from both sides.
−x+1/9−1/9=5−1/9
−x=44/9
Step 2: Divide both sides by -1.
−x/−1=44/9/−1
x=−44/9
which of this numbers should go inside the box to make the equation true blank plus 4 over 2 equals 10
Given:
The expression is
[tex]\dfrac{\_\_\_+4}{2}=10[/tex]
To find:
The number of the blank.
Solution:
Let x be the missing number for the blank. Then,
[tex]\dfrac{x+4}{2}=10[/tex]
Multiply both sides by 2.
[tex]x+4=20[/tex]
Subtract 4 from both sides.
[tex]x=20-4[/tex]
[tex]x=16[/tex]
Therefore, the missing number for the blank is 16.
make m the subject of the formula in 3-mx/2+2y=p/q
It means we want to isolate m so...
mx/2+2y=p/q
mx/2=p/q-2y
mx=2p/q-4y
m=(2p/q-4y)/x
Hope this helped if you have any more questions ask it in questions.
solve 256^(x+2)=16^(3x-1)
x=
A light bulb manufacturer claims that the lifetime of the bulbs is normally distributed with a mean of 5000 hours and a standard deviation of 250 hours. If 20000 bulbs are produced on a particular day, what percentage of the bulbs will have a lifetime of between 4750 and 5500 hours?
Answer:
88
Step-by-step explanation:
Write as a fraction greater than one. (an improper fraction)
HURRY PLZZZZZZZZZZZZZZZ. ill mark brailyist thingy
Answer:
13/3
Step-by-step explanation:
The formula to calculate that is 4*3+1=12+1=13/3 so the answer is 13/3.
Answer:
13/3
Step-by-step explanation:
(4x3+1)/3
=(12+1)/3
=13/3
Please help I only have 1 hour left .
Answer:
c
Step-by-step explanation:
Find a slope of each line (each block is one unit):
Answer:
The slope is -3
Step-by-step explanation:
We have two points
( -1,2) and (1,-4)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -4 -2)/ ( 1 - -1)
= ( -4-2)/ (1+1)
= -6/2
= -3
What is the reciprocal of 3 2/3
Answer:
the answer is 5
Step-by-step explanation:
Answer:
0.27272727272 is the reciproval of 3 2/3
Calculate the simple interest on $ 6400 at 10% p.a. for 9 months.
3x(2ab - b) - 2y(2a - b)
please i need help!!
Answer:
6abx-3bx-4ay+2by
Step-by-step explanation:
Answer:
The answer is 6xab - 3xb - 4ya + 2yb
Step-by-step explanation:
Factor the polynomial.
~Hoped this helped~
PLEASE HELP ME!
Answer in as much detail as needed please! Im giving 15 points for the best one!
Step-by-step explanation:
The answer is 220in^2 and hope it's useful and helpful to you.
I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?
3 over 7, 2 over 5, 3 over 4, 2 over 9
2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9
Answer:
2/9 = 0.2 repeating
3/7 = 0.428571 repeating
Step-by-step explanation:
What is the approximate volume of a cone with height of 6 mm and a radius of 18 mm use 3.14 to approximate pi and express your final answer to the nearest hundredth
Answer: 2034.72
Step-by-step explanation: i got 100% on the quizz and it is correct.
4.) A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 400. To the nearest foot, what is the height of the top section of the tower? (LT. 3.7 & 3.8)
(This is Trigonometry)
find the sum −10t−7−10t−7
Answer:
-20t-14
Step-by-step explanation:
-10t-10t= -20t
-7-7= -14
Triangle WXY is similar to triangle RST.
AA.
Which transformations could transform triangle WXY into triangle RST to show that they are similar?
Reflect across line PQ, then dilate with a scale factor greater than 1.
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
Rotate 90 degrees counterclockwise about point P, then dilate with a scale factor greater than 1.
Rotate 180 degrees clockwise about point P, then dilate with a scale factor greater than 0 and less than 1.
Answer:
Reflect across the line PQ, then dilate with a scale factor greater than zero in less than one
Step-by-step explanation:
Answer:
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
B
Step-by-step explanation:
a deli made $320000 in revenue last year. Due to increased popularity of deli, the owner predicts that revenue will increase by 23% next year. How much revenue does the owner think the deli will generate next year?
What is the input value for which f(x)=3?
Answer:
According to the graph −3 is the point (5,−3)left parenthesis, 5, comma, minus, 3, right parenthesis. In other words, f(5)=−3f, Therefore, the answer x=5
Evaluate expression: 3(5g + 5 - 2)
Answer: 15g + 9
Step-by-step explanation: Have a brilliant day!- Lily ^_^ Plz mark brainliest.
Please help
The figure
pentagonal prism
hope it helps you
Answer:
the last one
Step-by-step explanation:
because they are given their names based on their bases
A basket holds n apples. You pick (2n − 3) apples, and your friend picks (n + 4) apples.
How many baskets would you need if you collected 10 apples with your friend?
Answer:The equation would be 3n+1 apples.
Step-by-step explanation:
Jaxon invested $960 in an account paying an interest rate of 6.1% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,720
Answer: 10 years
Step-by-step explanation:
1720=960(1+0.061/12)
on monday, johnny had $30 in his lunch account. On Friday, he had $15 in his account.
Answer:
Im a little confused as to what the question is
Step-by-step explanation:
I believe that maybe your question was, "how much money is the lunches at the school?" if so.. I can help.
If he spent $15 for 5 days, and we are assuming he had lunch every day....
$15 divided by 5 equals $3.
The school lunches are $3.
HELP ME PLSS!!
Oliver, Lily, and Ella are hoping to save money. Oliver thinks saving money in a shoe box in his closet every month is a good idea. He decides to start with $150, and then save $75 each month. Lily was given $4000 from her Great Uncle Merv, and decides to put the money into an account that has a 7% interest rate that is compounded annually. Ella has earned $4500 working at the gas station and decides to put her money in the bank in an account that has a 7.5% interest rate that is compounded continuously.
the question is Describe the type of equation that models Ella’s situation. Create that equation of Ella’s situation. Using the equation you created, how much money will be in Ella’s account after 2 years? 10 years?
You'd first have to divide the first to, then add an divide your sume by the percent to get your answer.
Answer:
Step-by-step explanation:
Use formulaic methods. Since she has interest on her money, we have to include it:
i = log(x-4*7)^k
i is the interested amount, x is the variable we use, and k is the number of times. 7 is the interest
i = log(4000-4x7)^2 for 4000 at 7% interest over 2 years
i = log(4000-4x7)^10 for 4000 at 7% interest over 10 years
Amount after 2 years: $30,000
Amount after 10 years: $15,671
If $18\sqrt 8-8\sqrt{18}=\sqrt n, what is n?
Answer:
288 trust me it is 100% right I tried it as an answer an got it right.
Step-by-step explanation:
Answer:
288
Step-by-step explanation:
From the first two parts of the problem, we have
18√8 - 8√18 = 36√2 - 24√2
= (36 - 24)√2
= 12√2.
Thus, we wish to solve for n in the equation 12√2 = √n. In other words, we want to know what number 12√2 is the square root of. Any nonnegative number is the square root of its own square, so
n = (12√2)²
= 12²(√2)²
= 144 ∙ 2
= 288.
Can someone help? Correct answer gets brainliest!
Answer:x= 8
Step-by-step explanation:11-3=8. 8+3=11
Please help me, I am unsure how to do this
Answer:
-1/4
Step-by-step explanation: