\(\boldsymbol{\sqrt{\dfrac{p}{2}-2}=\sqrt{p-8}}\)
Cancel the square root on both sides.
\(\boldsymbol{\sf{\dfrac{p}{-2}-2=\sqrt{p-8} }}\)Multiply both sides by 2.
\(\boldsymbol{\sf{p-4=2p-16 }}\)Subtract p from both sides.
\(\boldsymbol{\sf{-4=2p-16-p }}\)Simplify
\(\boldsymbol{\sf{-4=p-16 }}\)Add 16 to both sides.
\(\boldsymbol{\sf{-4+16=p }}\)Simplify
\(\boldsymbol{\sf{12=p}}\)Swap sides.
\(\boldsymbol{\sf{p=12 \ \ \to \ \ \ Answer}}\)↓
Verification\(\boldsymbol{\sqrt{\dfrac{p}{2}-2}=\sqrt{p-8} \ \ \to \ \ \ Exercise \ normal.}\)
Let p=12.
\(\boldsymbol{\sqrt{\dfrac{12}{2}-2}=\sqrt{12-8}}\)Simplify 12/6 to 6.
\(\boldsymbol{\sqrt{6-4}=\sqrt{12-8} }\)Simplify 6-2 to 4.
\(\boldsymbol{\sqrt{4}=\sqrt{12-8} }\)Since 2×2=4, the square root of 4 is 2.
\(\boldsymbol{2=\sqrt{12-8} }\)Simplify 12-8 to 4.
\(\boldsymbol{2=\sqrt{4} }\)Since 2×2=4, the square root of 4 is 2.
\(\boldsymbol{2=2}\)Checked ✅\(\huge \red{\boxed{\green{\boxed{\boldsymbol{\sf{\purple{Pisces04}}}}}}}\)
Brenlyn's boss told her that once she has worked with the company for 10 years, her salary will be increased to 3 times what she makes now plus $2,000. If s represents her original salary, Which expression represents what her salary will be after 10 years at the company?
Answer:
3s + 2000 = x
Step-by-step explanation:
So, her original salary, s, will be tripled after 10 years. Hence 3 multiplied by "s" her original salary. Then you see the keyword "plus" 2000. So you would just add on to that. That's how you get 3s + 2000 = x (her salary after 10 years.)
please help me i will give brainliest to first person to anwser.
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
what is this answer please tell me bacuse im lost
This is the graph of f(x) = x+A/x+B. The grid lines in the graph are one unit apart. What is the value of A/B
The value of A/B is given as follows:
A/B = -2.
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.From the graph, the function has a vertical asymptote at x = 1, hence the value of B is given as follows:
B = -1 -> as x + B = 0 -> x = -B = -1.
When x = 0, y = -2, hence the value of A is obtained as follows:
A/-1 = -2
A = 2.
Then the division is given as follows:
A/B = 2/-1 = -2.
More can be learned about the asymptotes of a function at https://brainly.com/question/1851758
#SPJ1
The product of two numbers is 48 and one of the numbers is 12 what is the other number
A. 48x = 12
B. 12x =48
C. x/12 = 48
D. x/48 =12
Is this correct? If not, please correct it, and show all work including why it’s wrong.
Answer:
a. 12
b. 1/2
Step-by-step explanation:
Given a meal has 3 choices of meat, 2 choices of fruit, and 2 choices of dessert, you want to know the number of possible meals, and the probability of a meal with no cookie for dessert.
a. PossibilitiesAs the tree diagram shows, the number of possible meals is ...
(possible meats)×(possible fruits)×(possible desserts)
= 3×2×2 = 12
There are 12 possible lunch options.
b. CookiesHalf the possible dessert choices have no cookie. That is the probability that a lunch will have no cookie:
P(no cookie) = 1/2
__
Additional comment
The bottom line of the tree diagram has 6 Cs and 6 Ms. That is, 6 of the 12 options for meals have no cookie.
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Which operation should you perform after (9 + 6) in the expression
122 + 10 × 2 − (9 + 6) ÷ 5?
please help
Answer:
The next operation that should be carried out after (9 + 6) in the given expression is; a division which is (9 + 6) ÷ 5.
How to carry out mathematical operations?
We want to carry out the mathematical expression;
122 + 10 × 2 − (9 + 6) ÷ 5
From BODMAS Acronym, the first operation is Bracket, then of then division, then Multiplication, then Addition, then subtraction.
Now, the first operation is the one in the bracket which is 9 + 6 = 15.
Thereafter, the second operation to carry out is the division which is 15 ÷ 5 = 3.
Read more about Mathematical Operations at; brainly.com/question/4344214
help me check pls! thanks!!
Answer:
A
Step-by-step explanation:
The slope of function M is 5x and so that is a 2 difference
Answer:
The rates of change is different by 2
Step-by-step explanation:
Function M
m = (y2-y1)/(x2-x1)
= (21-11)/(4-2)
= 10/2
=5
Function P has a slope of 7
The difference ins the rate of change is 7-5 =2
im soooooo unsmart why!!!
Answer:
Question 4 is B.
Question 5 is D.
Step-by-step explanation:
Solve 8 = 2x + 4.
X = -4
X=-1
x = 0
X=7
Answer:
x = -1
Step-by-step explanation:
Write it in exponential form, 2^3 = 2^x+4
Since base is the same, Set the exponents equal, 3 = x + 4
Move the terms, variable goes to the left side and change the sign -x + 3 = 4
Subtract and calculate, -x = 1
Change the signs on both sides, x = -1
Answer:
x=-1
Step-by-step explanation:
i took the test
Paige has to make invitation cards for a party. If she can make 18 cards in 2 days, how many can she make in 30 days.
Answer:
270
Step-by-step explanation:
30/2= 15
15x18= 270
Hope this helps.
Can someone help me with this- (WILL GIVE BRAINLIEST)
Answer:
2) No function
3) Function: y=30x
Domain: x≥0
Range: y≥0
4) Function: y=160
Domain: x≥20
Range: y=160
Step-by-step explanation:
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A. 4/9
B. 1/5
C. 1/2
D. 5/9
Answer:
A 4/9
Step-by-step explanation:
At the beginning of the school year, 70 students signed up for music lessons. Students could choose drums, guitar, piano, or violin. The results are shown in the table. Which is a true statement about this situation?
Instrument Boys Girls
Drums 11 6
Guitar 6 8
Piano 9 15
Violin 4 11
A.
About 28% of students signed up for violin lessons.
B.
About 17% of students signed up for drum lessons.
C.
A greater percent of boys are taking piano lessons than girls.
D.
The same percent of boys and girls are taking guitar lessons.
Answer:
D.
Step-by-step explanation:
1. Answer A:
15 students signed up for violin lessons (4 boys + 11 girls)
15 / 70 = approx. 21% of the class.
Answer A says 28%, so this is incorrect.
2. Answer B:
17 students signed up for drum lessons (11 boys + 6 girls)
17/70 = approx. 24%
B says 17% signed up for drums, so this is incorrect.
3. Answer C.
Wrong because more girls signed up for piano lessons (15 girls, whereas only 9 boys signed up for piano)
4. D. The same percent of boys and girls are taking guitar lessons.
Get the total number of boys and girls in the class (just add the results for each separately for all instruments)
Boys: 11 + 6 + 9 + 4 = 30
Girls: 6+8+15+11 = 40
6 out of 30 boys signed up for guitar
6/30= 20%
8 out of 40 girls signed up for guitar
8/40 = 20%
Answer is D
please help i need to pass so bad
Answer:
A
Step-by-step explanation:
sorry if i am wrong
Answer:
I believe its A. Sorry if i'm wrong.
Step-by-step explanation:
Every time Carrie bakes a batch of brownies, she uses 1/8 cup of chocolate. If she has 1/2 cup(s) of chocolate remaining, how many batches of brownies can Carrie make? Input your answer as a whole number.
1/8 + 1/8 +1/8 +1/8 is the same as 1/2. Each 1/8 represents 1 batch. (1/8*4=4/8 which is equivalent to 1/2)
Step-by-step explanation:
What is "4 < c/3 =?
(Please show work)
Hint= C/3 is referred to as a fraction
the answer is 12 < c
multiple 3 to the other side
Kenneth graphed a system of equations.
Kenneth says the system has no solution
Do you agree?
Yes or No
now i have a second question for brainlest
its still for unit rates and i still want a correct sure answer
$21.50 for 4 pounds of lunch meat or $15.10 for 3 pounds of lunch meat
Answer:
3 Pounds for 15.10
Step-by-step explanation:
find a common multiplier (12)
4 pounds ($21.50) [×3] 12 pounds ($64.50)
3 pounds ($15.50) [×4] 12 pounds ($ 62)
you save $2.50
Answer:
$15.10 for 3 pounds of lunch meat
Step-by-step explanation:
Im jsut very confused on the question
50 POINTS MATHEMATICS READ ALL IMAGES AND ANSWER QUESTIONS.
Answer:
Step-by-step explanation:
first picture you are supposed to organize the number from smallest to largest so start with 4, 4, 4.45, 4.75, 5, 5.25, 5.5, 5.5
Graph the following in cartesian plane. With solution.
1.) 5x - 4y = 20
2.) 3x + 3y = 15
3.) y = 3/4x - 2
4.) y = -3/2x + 3
pls help me I need this pls, I only need the solution, thx
Step-by-step explanation:
1.) 5x-4y=20
y=5/4x-5
5x/4-5=0
x=4
2.) 3x+3y=15
y=-x+5
x+5=0
-x=-5
=x=5
3.) y=3/4x-2
3/4x-2=0
x=0
3x4x/4 -2 x4x-0x4x
3-2x4x=0x4x
3-8x=0
8x=-3
=x=3/8
4.) y=3/2x+3
3/2x+3=0
x=0x
3x2x/2+3x2x=0x2x
3+3x2x=0x2x
3+6x=0
6x=-3
x=_3/6
=x=-1/2
You are given a expression 2x - 3 and that x = 3
Once you evaluate above, what is the value?
Answer: 3
Step-by-step explanation:
2(3)-3
2*3 = 6
6 - 3 = 3
Answer:
3
Step-by-step explanation:
Because if there is nothing between 2 numbers it means it is multiplication so 2*3=6 and then 6-3=3 so the final answer is 3 :)
g more than the quotient of 9 and h
Answer:
what .... cwn you explain
George solved the equation -103 = -2(-7x + 7) + 8x as follows:
-103 = -2(-7x + 7) + 8x
Step 1: -103 = 14x + 7 + 8x
Step 2: -103 = 22x + 7
Step 3: -110 = 22x
Step 4: -5 = x
At which step did he make an error?
Explain the error:
How do you square a scale factor?
DONT COPY OFF GOOGLLE
you have to find the scale factor by its length
how to : scale factor = dimension of the new shape ÷ dimension of the original shape
but if it is scaled then do
scale factor = larger figure dimensions ÷ smaller figure dimensions
What translation is shown below?
3 units left
3 units right
o 5 units left
o 5 units right
please help what is the answer ill give 25 points please
Answer: 73
Step-by-step explanation:
22 + 51 = 73
Answer:
73
Step-by-step explanation:
Please help :/
Miss. Anderson is making a snack for a field trip the recipe calls for raisins chocolate candies and peanuts in the ratio of 2:2:3 if Miss. Anderson makes 42 cups of the snack how many cups of peanuts does she need?
Answer:
12:12:18
Step-by-step explanation:
42/7x=6 x=6 6*2:6*2:6*3 is answer 12:12:18 EZ
Which expression is equivalent to 5(x – 3)?
A) 5x – 3
B) 2x
C) x – 15
D) 5x – 3(5)
PLEASE HURRY
Answer: Answer D!!!!
Step-by-step explanation:
please answer quickly
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)