Answer:
d
Step-by-step explanation:
The value of the modulus function is y = | x | - k , and as x increases , the value of y decreases and then increases
What is Modulus Function?Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.
It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:
If x is positive, then f(x) = x
If x = 0, then f(x) = 0
If x < 0, then f(x) = -x
Given data ,
Let the modulus function be represented as A
Now , the value of A is
y = | x | - k
where k is the factor of diminish
Now , when k = 4
The value of the modulus function is y = | x | - 4 and the graph is plotted
And , as x increases , the the value of y decreases and then increases
So , If x is positive, then f(x) = x
If x = 0, then f(x) = 0
If x < 0, then f(x) = -x
Hence , the modulus function is y = | x | - k
To learn more about modulus function click :
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The volume V (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2 . Solve the formula for r . Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.
Answer:
a) r = √V/6π
b) r = 8 inches
Step-by-step explanation:
a) The volume V (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2 . Solve the formula for r .
Solving for r means making r the subject of the formula
= V=6πr²
Divide both side by 6π
V/6π = 6πr²/6π
r² = V/6π
r = √V/6π
b) Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.
r = √V/6π
V = 1206 ft³
r = √1206/6π
r = √(63.98028712294193)
r = 7.9987678503 inches
Approximately r = 8 inches
In the diagram shown,
P
T
=
Q
T
=
Q
R
.
Also,
R
T
=
R
S
and
∠
P
T
Q
=
36
∘
.
What is
∠
P
T
S
?
Answer:99
Step-by-step explanation:
An animal shelter spends $2.50 per day to care for each bird and $4.00 per day to
care for each cat. Noah noticed that the shelter spent $52.00 caring for birds and cats
on Friday. Noah found a record showing that there were a total of 19 birds and cats
on Friday. How many birds were at the shelter on Friday?
Answer:
19 birds where there on Friday
1. Find the slant height of a square pyramid with a surface area of 57 square feet and a base perimeter of 12 feet
Answer:
Slant height = 8 feet.
Step-by-step explanation:
If the perimeter of the square base = 12 then each side of the base = 12/4
= 3 feet and its area = 3*3 = 9 ft^2
The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.
So total surface area = 57 = 9 + 4 * 1.5h
9 + 6h = 57
6h = 48
h = 8 feet.
Describe the probability of getting a numbered card from a deck of cards.
Step-by-step explanation:
well, there are 4× 1-9 meaning 36 cards
36/52
divide both sides by 4
9/13
19. A quadratic equation is shown below.
a2-b=0
If b is a perfect square, which represents the solutions to the equation?
HELP PLEASE
Answer:
[tex]\{\sqrt b, -\sqrt b\}[/tex]
Step-by-step explanation:
Given
[tex]a^2 - b = 0[/tex]
Required
Determine the solution
Since b is a perfect square, the equation can be expressed as:
[tex]a^2 - (\sqrt b)^2 = 0[/tex]
Apply difference of two squares:
[tex](a - \sqrt b)(a + \sqrt b) = 0[/tex]
Split:
[tex](a - \sqrt b)= 0 \ or\ (a + \sqrt b) = 0[/tex]
Remove brackets:
[tex]a - \sqrt b= 0 \ or\ a + \sqrt b = 0[/tex]
Make a the subject in both equations
[tex]a =\sqrt b \ or\ a =-\sqrt b[/tex]
The solution can be represented as:
[tex]\{\sqrt b, -\sqrt b\}[/tex]
If the chance that it will NOT rain is 40%, what is the chance that it will rain?
Answer:
60%
Step-by-step explanation:
29% of a university's freshman class are majoring in Economics. If 870 students in the freshman class are Economics majors, how many students are in the freshman class?
need this turned In by 12:00 AM est so please answer quickly!
Answer:
3000
Step-by-step explanation:
[tex]\frac{870}{x} =\frac{29}{100} \\\\29x=87000\\x=3000[/tex]
Double check:
29% = 0.29
3000(0.29) = 870
So 29% of the 3000 freshmen students taking economic majors are 870 students.
!!Help Please!!
Find cos 0 20 16 12
Answer:
the answer is 58 degrees (rounded) I have done a step by step explanation below.
Step-by-step explanation:
hope this helps...
Which polynomial is equivalent to 4n + 5^2
Answer:
16n^2+40n+25
Step-by-step explanation:
102 + 150 + 41 > 500
Answer:
False
Step-by-step explanation:
102 + 150 + 41 > 500
252 + 41 > 500
293 > 500
Is 293 greater than 500?
It is not so this statement is false.
Answer:
That statement is FALSE
Step-by-step explanation:
102+150+41 = 293
293 < 500, not 293 > 500
The statement is FALSE.
Help pleaseeeeeeeeeeeeeeeee
Answer:
follow the drawings or u can use that (ayp +xnc
...) both same
A drawer contains 18 socks: 5 red socks, 10 white socks, and 3 blue socks. Without looking you draw out a sock, what is the probability of NOT getting a red sock?
Answer:
13/18 which is 72.22% chance of NOT getting a red sock
Step-by-step explanation:
As there are 18 total socks, and 13 of them are NOT red, you have a 13 out of 18 chance, or 13/18, or NOT drawing a red sock. This can be converted to the decimal, 0.7222, or percentage of 0.7222 * 100 = 72.22%
What mistake did Andy make ?
Answer:
The mistake that Andy made was on step 2 when he multiplied only the variables by 12.
Step-by-step explanation:
When you're solving an equation and are multiplying one side by a number, you need to multiply the other side by that number as well to keep the equation true. Since Andy multiplied only the variables and not the constants on each side of the equation, that means the equation would no longer be valid, and solving it would provide a wrong answer.
Answer:
person above me is right. that's is the answer.
(c) Using your calculator, sketch a graph of your
function over the interval Osts 20 and
OSD15. Mark the y-intercept with its value.
Answer:
bro i did not undurstand the question pls make me brillant
Step-by-step explanation:
Solve the algebraic equation 2x+34= -26+5X
Answer:
x=20
Step-by-step explanation:
2x+34= -26+5x
-2x -2x
34=-26+3x
+26 +26
60=3x
(divide by 3)
20=x
can someone help me
whats the answer to this 2-10<=22
Answer:
[tex]infinitely \: many \: solution[/tex]
Step-by-step explanation:
simplify 2 - 10 to -8.
[tex] - 8 \leqslant 22[/tex]
Since -8 ≤ 22 is always true, there are infinitely many solutions.
hence, there are infinitely many solutions for this equation.
What is a possible solution for x+6≥10
select all that apply
Question 2 options:
3
4
5
6
Answer:
4,5,6
Step-by-step explanation:
*The sign of ≥ means that it must be greater or equal to 10 in this case
1). 3 isn't a possible solution due to 9 being less than 10
3+6_10
9_10
9<10
2). 4 is a possible solution due to the sum of 4 and 6 being equal to 10
4+6_10
10_10
10=10
3). 5 is a possible solution due to the sum of 5 and 6 being larger than 10
5+6_10
11_10
11>10
4).6 is a possible solution due to the sum of 6 and 6 being larger than 10
6+6_10
12_10
12>10
Hope this helped! (:
IF U UNDERSTAND THIS PLS ANSWER WITH NO LINK!!!
Answer:
First Column top:
5. 3. 10
Second Column middle:
9. 7. 2
Third Column bottom:
4. 8. 6
Hence, the grid would be,
5. 3. 10
9. 7. 2
4. 8. 6
Which fraction is equivalent to - 3/2
Answer:
3/-2
Step-by-step explanation:
The negative sign applies for the whole fraction
Answer:
I believe its the second one. If I'm wrong, could someone correct me, Thank You.
COULD SOMEMEMMEME PLEASEEE HELPP ME
Answer:
1. 0.000345
2. 0.0345
3. 34.5
4. 3.45
do the powers
Then multiply 3.45 with the result of those powers
Anybody know what is this? (I think it's not a compass)
Answer:
It is actually called a compass...
Step-by-step explanation:
Answer:
They're called geometrical proportional dividers.
Can someone please help me with math.
Option c. is the correct answer.
PLEASE HELP ITS DUE TODAY, FOR 20 POINTS
Answer:
10.125 ft^2
Step-by-step explanation:
Our strategy will be to find the area of each shape, therefore finding the area of each rectangle and the triangle, and then adding all the areas together. So, for the leftmost rectangle, the area is 1.5 ft x 3 ft = 4.5 ft. For the bottom rectangle, the area is the same, due to it having the same side lengths. For the triangle, we can find the area using A = (1/2) x base x height. The base and height are both 1.5, due to them being sides of the two rectangles. Therefore, the area is 1.5 x 1.5 x (1/2) = 1.125. Then, to get the total area we have to add up the areas we've already calculated. Therefore 4.5 + 4.5 + 1.125 = 10.125 ft^2
The area of a square notepad is 100 square centimeters. How long is each side?
Answer:
Each side is 25 square centimeters
Step-by-step explanation:
100 divided by 4 is 25
Describe the two factors in this expression 5(6 + 4x)
Answer:
A) The factors are 5 & 6
B) There are 3 terms
C) the coefficient is 4
Step-by-step explanation:
I hope this helps <3
6a+5b=4.54
3a+7b=3.17
Answer:
7.71
Step-by-step explanation:
add it up
When Alan and Brady stood together on the scale, their total weight was 250 lb.
Brady and Charles were weighed together, and their total weight was 300 lb.
Charles and Damien weighed 280 lb. when they stood on the scale together.
Initially, when Charles, Damien, and Brady all stood on the scale together, it
registered 420 lb. How much does each of the boys weigh?
Answer:
Alan: 110 lb.
Brady: 140 lb.
Charles: 160 lb.
Damien: 120 lb.
Step-by-step explanation:
What is the factored form of x²-100?
Step-by-step explanation:
x²-100x²-10²(x-10)(x+10)hope it helps.
question number 20 to 22
Answer:
20) Rectangular prism, Rectangle base
21) Triangular Prism, Triangle base
22) Pyramid, Triangle base
Step-by-step explanation:
Look at the picture