The domain of the function is x ≥ 0
Calculating the domain of the function?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an square root function
The rule of a function is that
The domain is the set of input values
From the graph, we have the input values to be greater than or equal to 0
So, we have
x ≥ 0
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If ⅙ of a roll of wallpaper covers ¼ of the wall. How many rolls of paper are needed to cover 4 walls?
Answer:
if 1/6 of a roll of paper covers 1/4 of a wall, this means that we will need 4/6 of a roll to cover a whole wall, now the question is asking how many rolls will we need to cover 4 walls, we already know that it takes 4/6 to fill one wall so if we add 4/6+4/6+4/6+4/6 we will get 16/6 or 2 4/6
we will need 16/6 or 2 4/6 of rolls of paper to cover 4 walls
You might need: Find the area of a circle with a circumference of 12.56 units.
Answer:
The area is 12.56 units^2 (same as circumference?)
Step-by-step explanation:
Assuming pi is 3.14, the equation for the circumference is C = 2 pi r
Fill it out for the radius (r)
12.56 = 2 3.14 r
12.56 = 6.28 r
r = 2
With the radius, the equation for the area is A = pi r^2
Fill it out for the area
A = 3.14 2^2
A = 3.14 4
A = 12.56
Radiotelescopes
reveal that space
is full of:
Answer: No real "space" exists. There is plenty of air all around us
Step-by-step explanation: I'm sorry If I am wrong tysm
-☈⊙⌘☿
Answer:
cosmic microwave background radiation
Step-by-step explanation:
What type of relationship is expressed below?
5x = 2x 9
O equation
O function
O inequality
Answer:
The answer will be equation
I need help finding this
-2a-10+a=-28 please help me
Answer:
a=18
Step-by-step explanation:
-2a-10+a=-28
-1a-10=-28
+10 +10
-1a=-18
divide by -1
a=18
What is the equation of the line in slope-intercept form?
A.) y = x + 8
B.) y = x - 8
C.) y = 8x + 8
D.) y = 8x - 8
there are 24 employees out sick one day at imperial hardware. this is 8% of the total workforce. how many employees does this company have?
If 8% of the total workforce is 24 employees, we can set up a proportion to find the total number of employees in the company:
8/100 = 24/x
where x is the total number of employees.
To solve for x, we can cross-multiply:
8x = 24 * 100
8x = 2400
x = 2400/8
x = 300
Therefore, Imperial Hardware has a total of 300 employees.
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−8x 4y>3 6x−7y<−5 is (2,3) a solution of the system?
The ordered pair (2,3) is not a solution of the system
How to determine if (2,3) a solution of the system?From the question, we have the following parameters that can be used in our computation:
−8x + 4y > 3
6x - 7y < −5
The solution is given as
(2, 3)
Next, we test this value on the system
So, we have
−8(2) + 4(3) > 3
-4 > 3 --- false
This means that (2,3) is not a solution of the system
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Which expression correctly represents “ten times the difference of a number and six”? 10 (n minus 6) 10 (6 minus n) 10 (n) minus 6 10 (6) minus n
Answer:
The expression that correctly represents "ten times the difference of a number and six" is 10 (n minus 6).
Here's an explanation of the expression:
- "n" represents the number in question.
- "n minus 6" represents the difference between the number "n" and 6.
- Multiplying this difference by 10 gives you "ten times the difference of a number and six."
So, the expression 10 (n minus 6) is the correct representation
Answer:
10(h - 6)
Explanation:
The difference is what we get once we subtract two numbers.
In this case, we subtract a number (let it be h) and 6: h - 6.
Then, I multiply this difference by 10: 10(h - 6)
Hence, the answer is 10(h - 6).
Helpppp and explain :))
Answer:
y = 2x - 7
Step-by-step explanation:
(1,-5) (2,-3)
y2 - y1 / x2 - x1 -3 - (-5) / 2 - 1 2/1 = 2
y = 2x + b
-3 = 2(2) + b
-3 = 4 + b
-7 = b
A function f(x) has x-intercepts of -3 and -5 what is the constant term in the function f(x)=x^2+8x+
Answer:
\(x^{2}\)
Step-by-step explanation:
because x^{2} represents the quadratic equation, so I don't think it will affect it
1
math
pls help geniuses!!
Answer:
Step-by-step explanation:
I believe it is horizontal bc the y is squared
Generate equivalent expressions for: y+y+y+3+4
Answer:
Step-by-step explanation:
Combine like terms. ie, add the coefficient of like terms
y + y + y + 3 + 4 = 3y + 7
Answer:
Combine like terms.
First, the variables:
y+y+y=3y
Now the constants:
3+4=7
Answer: 3y+7
Step-by-step explanation:
So far this season, a team has won 51 out of 68 games. Identify the values of a, b, c, and d that complete the bar diagram for this situation. a = b = c = d =
Answer
A=25 B=100 C=17 D=68
Step-by-step explanation:
engenuity 2020
Simplify: 2x2 – 1+ 4x2-5
Answer:
6x^2 - 6
Step-by-step explanation:
Hope this helps!!
In the soup can below, the height is approximately 538 inches and the diameter is 3 inches.
What is the area of the label if the combined lips of the can are 38 inches and there is about 12 inch of overlap for the glue.
If the can's combined lips measure 38 inches and the adhesive overlaps by around 12 inches, the label's surface area will be 50 square inches.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
Given data;
Height of can,\(\rm H=5 \frac{3}{8} \ inch\)
Height of label,
\(\rm h=5\frac{3}{8} -\frac{3}{8} \\\\ h= 5 \ inch\)
Diameter,\(\rm d= 3 \ inch\)
The area of the label is;
A = ( overlap area + circumfereence ) h
\(\rm A = [\frac{1}{2} + 2 \pi \times \frac{3}{2} ] \\\\ A =[ \frac{1+6\pi}{2} ] \times 5 \\\\ A = 49.6 \ inch^2\)
Hence, the label's surface area will be 50 square inches.
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Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. the first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.
1. Write an equation for each tank representing the total amount of water in gallons in the tank, y, in terms of the number of hours, x, that the tank drains
2. what is the solution to this system of equations.
3. suppose Aiko starts draining the tanks at the same time. When will both tanks have the same amount of water? How much water is in each tank at that time
The answers to each part is mentioned above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.
( 1 ) -Equation for tank {1} -
y = 175 - 25x
Equation for tank {2} -
y = 200 - 30x
( 2 ) -For the solution we can write -
175 - 25x = 200 - 30x
- 25x + 30x = 200 - 175
5x = 25
x = 5
and
y = 200 - 150
y = 50
( 3 ) -For the same amount of water we can write -
175 - 25x = 200 - 30x
- 25x + 30x = 200 - 175
5x = 25
x = 5 hours
In tank (1), there is : 175 - 25 x 5 = 50 gallons
In tank (2), there is : 200 - 30 x 5 = 50 gallons
Therefore, the answers to each part is mentioned above.
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Find the nth term of the following sequence 4 7 12 19 28
To find the nth term of the sequence 4, 7, 12, 19, 28, we can observe the pattern between consecutive terms.
If we look at the differences between the terms, we can see that the differences are increasing by 3 each time:
7
0
- 4 = 3
12 - 7 = 5
19 - 12 = 7
28 - 19 = 9
So, the differences between consecutive terms are: 3, 5, 7, 9.
To find the nth term of the sequence, we can express it as a function of n and the differences: n^2 + 3
Therefore, the nth term of the given sequence is n^2 + 3.
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In the diagram, MN is a tangent to K at M, NP is a tangent to K at P, MN = 128, and NP = 2x + 70. Find the value of x.
A. 29
B. 99
C. -9
D. 38
In & ΔKPN &Δ AKM
∠KPN =∠ LKMN = 90°
∠ KNP = ∠KNM
KN =KN (Common side)
By A-S-A congruency
Now, MN = MP
=2x+70 = 128
⇒ 2x=58
80 option-(a) is correct:
x = 58 = 29
What is an equation?
The identical sign (=) is used in mathematical formulas to indicate that two statements are identical. Mathematical functions are used to show that many academic quantities are equal, and these statements of fact are called assertions. For example, the solution y + 6 = 12 is divided into two parts by the equal symbol, along with the numbers 12 and b + 6. It is feasible to determine how many lines are represented by each portion of a symbol. A symbol's meaning typically runs counter to itself.
Here,
Since O is the center of the circle, we know that OM and OP are radii of the circle, and hence have equal lengths. Therefore, we can write:
OM = OP
128 + 2x + 70 = 2OM (using the fact that MN = 128 and NP = 2x + 70)
198 + 2x = 2OM
We also know that OM is half the length of the diameter of the circle, so:
OM = (1/2)DP (where DP is the diameter of the circle)
Therefore, we can write:
198 + 2x = DP
So,
MN * NP = (NP - MN) * N\(R^2\)
128 * (2x + 70) = (2x + 70 - 128) *\(R^2\)
Simplifying this equation gives:
128 * (2x + 70) = (2x - 58) *\(R^2\)
256x + 12870 = 2xR^2 - 58*\(R^2\)
256x + 128*70 = (2x - 58)*\(R^2\)
Dividing both sides by 2x - 58 gives:
(256x + 128*70) / (2x - 58) = \(R^2\)
We still don't know the value of\(R^2\), but we can simplify the left hand side of this equation:
(256x + 128*70) / (2x - 58) = 128(x + 70) / (x - 29)
Therefore, we can write:
128(x + 70) / (x - 29) =\(R^2\)
Substituting this expression \(R^2\) into the equation 198 + 2x = DP gives:
198 + 2x = 128(x + 70) / (x - 29)
Multiplying both sides by (x - 29) gives:
198(x - 29) + 2x(x - 29) = 128(x + 70)
Simplifying this equation gives:
198x - 5760 + 2x² - 58x = 128x + 8960
2x² - 28x - 14720 = 0
Dividing both sides by 2 gives:
x² - 14x - 7360 = 0
We can solve this quadratic equation by using the quadratic formula:
x = (-b ± √b² - 4ac)) / 2a
where a = 1, b = -14, and c = -7360.
Plugging in these values gives:
x = (14 ± √(14)
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Question: In the diagram, MN is tangent to K at M, NP is tangent to K at P, MN = 128, and NP = 2x + 70. Find the value of x.
A. 29
B. 99
C. -9
D. 38
need help i WILL MARK YOU BRANLEST HELP!!!!!
Find the midpoint given the endpoints:
(_________ , _________)
Question 2 options:
Blank # 1
Blank # 2
Answer:
- 4+23e
Step-by-step explanation:
What is 8/4x + 7/8 = 4 1/4?
Answer:x=2
Step-by-step explanation:
Answer: x = 75/16 or x=4.6875 or x=4 11/16
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=75/16
Decimal Form:
x=4.6875
Mixed Number Form:
x=4 11/16
Need help with 15 and show the work
Answer:
D
Step-by-step explanation:
In 2 hours they wash 8 cars total so...
8
16
24
The extra time is 15 mins for 2 cars
*4. What is (2.0 x 10-1)3 in
scientific notation?
A 2.0 x 10 -3
1
B 2.0 X 1/10 3
C 8.0 X 1/103
D 8.0 x 10 -3
Answer:
D
Step-by-step explanation:
Substitute 6 for x and evaluate the expression below.
5x + 2x
Answer here
Answer:
= 42
Step-by-step explanation:
I would combine them to become 7x first.
7 (6) = 42
Answer:
42
Step-by-step explanation:
5x+2x
5(6)+2(6)
30+12
42
2x = 14 isolate the variable
Graph the following lines
find the future value of $750 deposited each month at 3.25% for 15 years
Answer:
P=1538.461
Step-by-step explanation:
do it by the formula of
I=PRT, I=750 R=3.25% T=15
3 years ago, you received a gitt of 10000 and you want to spend it in 3 years. How much will it be worth? Assume the interest rate is 4%.
$12,986.16
$12,653.19
$12,536.23
If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.
To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:
Future Value = Present Value * (1 + Interest Rate)ᴺ
In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.
Using the formula:
Future Value = \(\$10,000 * (1 + 0.04)^6\)
Future Value = \(\$10,000 * (1.04)^6\)
Future Value = $10,000 * 1.1265319
Future Value ≈ $12,653.19
Therefore, the amount will be approximately $12,653.19. Option b is correct.
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