Answer:Suppose y= cot x is our parent function then remember general rules of transformation.1) y= -f(x), reflects the graph of f(x) across x-axis.2) y= cf(x), stretches the graph of f vertically by factor of c , for c >1.Now, apply these rules to y= -4 cot(x)the -ve sign reflects the graph of cot(x) across x-axis and the number 4 will stretch it vertically by 4 units.The graph of both parent function (y=cot x ) and transformed function (y= -4 cot(x)) are attached below.
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Answer:
the answer to a is 70
the answer to b is 55
the answer to c is 15
A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown.
A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3.5 and a height of 8. The frustum has a height of 11 and a radius of 7.5.
Which expression represents the volume, in cubic units, of the frustum?
One-thirdπ(7.52)(11) – One-thirdπ(3.52)(8)
One-thirdπ(7.52)(11) + One-thirdπ(3.52)(8)
One-thirdπ(7.52)(19) – One-thirdπ(3.52)(8)
One-thirdπ(7.52)(19) + One-thirdπ(3.52)(8)
f(x) is a function.
A. True
B. False
Answer:
A. true
Step-by-step explanation:
"f(x) = ... " is the classic way of writing a function.
Find the variance of: 6 6 7 8 10 10
Step-by-step explanation:
I hope this helps!!!!!
Find the value of c 3-2(1 + 6c) = -35
Answer:
C = 3
Step-by-step explanation:
By using the distributive property, we multiply 1 and 6c inside the brackets by -2. This gives us 3 -2 - 12c = -35. Next, we subtract 2 from 3, giving us 1 - 12c = -35. We will now subtract 1 from both sides, leaving us with -12c = -36, or simply 12c = 36. Finally, we divide by 12, giving us C = 3. I hope this helps!
If Rita receives $63.90 Interest for a deposit earning 6% simple interest for 150 days, what is the amountof her deposit to the
nearest dollar (zero decimal place). Use a 360-day year. Enter only the number without $ sign
Answer: 2556
Step-by-step explanation:
Let the amount of the deposit be x dollars
The amount of simple interest earned can be represented by the formula PRT/100
Where,
P is the amount of deposit
R is the annual rate of interest
T is the time in years
Therefore,
P=x
R=6
T=150/360 = 15/36 = 5/12
So,
Simple interest = x(6)(5)/1200
63.90 = 30x/1200
63.90= x/40
x= 63.90×40
x=2556
Therefore, amount deposited = 2556
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 4x = 5
The solution to x^2 - 4x = 5 is x = -1 or 5
How to solve the equation?The equation is given as:
x^2 - 4x = 5
Take the coefficient of x
k = -4
Divide by 2
k/2 = -2
Square both sides
(k/2)^2 = 4
Add this value to the sides of the equation
x^2 - 4x + 4= 5 + 4
Express as a difference of two squares
(x - 2)^2 = 9
Take the square root of both sides
x - 2 = ±3
Add 2 to both sides
x = 2 ± 3
Evaluate
x = -1 or 5
Hence, the solution to x^2 - 4x = 5 is x = -1 or 5
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Evaluate and reduce:
Answer:
-31/8
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Determine a series of transformation that would map polygon ABCDE onto polygon A'B'C'D'E'
which number is equal to 4 half
Answer:
2
Step-by-step explanation:
4 halves=2
1 half=0.5
2 halves=1
3 halves=1.5
4 halves=2
The question is in the image. I
4x-6y=17 4x+2y=21 solua
Beginning in the middle of summer, the average temperature for a certain year in Phoenix could approximately be modeled by the function f(x)=31cos(0.0055πx)+88, where x represents the number of days since the middle of the summer, and f(x) represents the average temperature in degrees Fahrenheit.
What was the lowest average temperature in Phoenix that year (approximately)?
A) 57∘F
B) 31∘F
C) 55∘F
D) 88∘F
By finding the minimum of the given function, we conclude that the lowest average temperature that year is 57°F.
What was the lowest average temperature in Phoenix that year?We know that the average temperature is given by the equation:
f(x)=31cos(0.0055πx)+88
And it is in Fahrenheit degrees.
To get the lowest average temperature, we just need to find the minimum of the above function.
Remember that the minimum of the cosine function is:
cos(x) = -1
Then the lowest value of the above function is:
f(x₀) = 31*(-1) + 88 = 57
From this, we conclude that the lowest average temperature that year is 57°F, so the correct option is A.
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Match each fraction on the left with an equivalent fraction on the right. Some options on the right will be used more than once.
Answer:
4/7=12/21
18/20=9/10
6/5=30/25
81/90=9/10
Step-by-step explanation:
12 / 21 will be equal to 4/7 and is denoted in the simplest form.
What is an equivalent fraction?A fraction that possesses the same value as another fraction regardless of how it's denominators and numeric components could be different is said to be equivalent.
12 / 21 can be simplified with the help of 3. This will result in 4/7.
18/20 can be simplified with the help of 2. This will result in a 9/10.
30/25 can be simplified with the help of 5. This will result in 6/5.
81/90 can be simplified with the help of 9. This will result in a 9/10.
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ƒ(x) = 4x² + 5x – 3
g(x) = 4x³ - 3x² +5
Find (ƒ + g)(x)
(f+g)(x)
= f(x) + g(x)
= 4x^2 +5x -3 + 4x^3 -3x^2 +5
= 4x^3+x^2+5x+2
Just a little help :,(
Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for T.
9 in.
in³.
3 in.
The volume is about
Answer:
the volume is about 84.8 in³
Step-by-step explanation:
Let b be the base of the cone
and h be the height of the cone
Formula :
Consider the cone with base b and height h
The volume = (1/3)×b×h
………………………………………………………
In our example:
b = 3.14×3^2 = 28.26
h = 9
Therefore
The volume = (1÷3)×(28.26)×9 = 84.78
Solve the Application.
In one week Tommy earns $476 in regular pay and $144 in overtime pay. A total of $197 is deducted from his paycheck for taxes and a company loan. What is his take-home pay?
$423
$413
$433
$533
8. Which statement is an example of a transitive relationship?
O
If all b and b ll c, then a ll c.
If m 1n and m 1 p, then m ll p.
If x = 2y and 2y = 8, then x = 4.
If I m and m ll n, then I n.
O
Answer:
Transitive
If x = 2y and 2y = 8, then x = 4.
Hope plans to run one day this week, play tennis one day, swim one day, and play soccer one day. A tree diagram would show different combinations in which she can do these.
The probability that Hope performs any of the activities each day of the week can be expressed in the tree diagram.
What is a tree diagram?A tree diagram is a term for a graphical tool that shows the possible outcomes of an experiment. To build a tree diagram, start by putting a branch for each of the possibilities.
What would the tree diagram of Hope's activities look like?The tree diagram of Hope's activities must include all the days of the week and on each day there must be three branches for each of the possible activities that she is going to do (play tennis, swim or play soccer).
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What is the perimeter of this triangle?
Answer: [tex]a+b+\sqrt{a^{2}+b^{2}}[/tex]
Step-by-step explanation:
The distance from (0,b) to (0,0) is b.
The distance from (0,a) to (0,0) is a.
Using the Pythagorean theorem, the distance from (0,b) to (a,0) is [tex]\sqrt{a^{2}+b^{2}}[/tex]
So, the perimeter is [tex]\boxed{a+b+\sqrt{a^{2}+b^{2}}}[/tex]
Find the measure of the arc.
A
1460
E
B
mBC = [ ? ]0
Answer:
see the attachment photo!
Help Me please . I want to know Square root of 169 and 144 and 625 . please man fast
Answer:
13,12,25
Step-by-step explanation:
Square root of 169 is 13.
Square root of 144 is 12
Square root of 625 is 25.
Answer:
[tex]\sqrt{169} = 13\\\\\sqrt{144} = 12\\\\\sqrt{625} = 25[/tex]
Step-by-step explanation:
[tex]\sqrt{169} = \left(13^2 \right)^{\tfrac 12} = 13^{\tfrac 22} = 13^1 = 13\\\\\sqrt{144} = \left( 12^2\right)^{\tfrac 12} = 12^{\tfrac 22} = 12^1 = 12\\\\\sqrt{625}= \left(25^2 \right)^{\tfrac 12} = 25^{\tfrac 22} = 25^1 = 25[/tex]
X
23 25 26 31 34 38
P(X)
0.16 0.09 0.18 0.12 0.24 0.21
What is the mean of this discrete random variable? That is, what is E(X), the
expected value of X?
A. 31.29
OB. 30.47
OC. 29.5
OD. 28.5
Using it's formula, it is found that the mean of the discrete random variable is given by:
B. 30.47.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
Hence, considering the table, the mean of the discrete distribution is:
E(X) = 23 x 0.16 + 25 x 0.09 + 26 x 0.18 + 31 x 0.12 + 34 x 0.24 + 38 x 0.21 = 30.47.
Hence option B is correct.
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What is the sum?
3
5
X+3
6-zX
Sin 0 = -8/17 and cos 0 = 15/17 find tan0
Answer:
Step-by-step explanation:
Givens
sin(theta) = - 8/17
cos(theta)= 15/17
Tan(theta) = ?
Comment
Without using the Pythagorean Theorem, you could simply use tan(theta) = Sin(theta) / cos(theta)
Tan(theta) = sin(theta) / cos(theta)
Tan(theta) =[tex]\dfrac{\dfrac{-8}{17} }{\dfrac{15}{17} }[/tex]
Now turn the bottom fraction upside down and multiply.
Tan(theta) = [tex]\dfrac{-8}{17}*\dfrac{17}{15} = \dfrac{-8}{15}[/tex]
Answer Tan(theta) = -8/15
Cool Down
Lesson 3: Reasoning about Equations with Tape Diagrams
Cool Down: Three of These Equations Belong Together
Here is a diagram.
X
1. Circle the equation that the diagram does not match.
06+3x=30
03(x+6)=30
0 3x-30-6
030-3x+6
2. Draw a diagram that matches the equation you circled.
Using the figure given, The one equation that matches with the diagram is 3x=30-6. The diagram that matches the equation circled is given in the image attached.
What is the Equations about?From the above, we can see that the equation that matches with the diagram are:
3(x+6)=3030=3x+66+3x=30Note that for 3(x+6)=30
3x + 18 = 30
3x = 30-18
3x = 12
x = 12/3
x = 4
Then fixing x into the equation =
3(x+6)=30
3(4+6)=30
Therefore , 12 + 18 will give us 30 and the answer is straight forward. The same applies for 30=3x+6 and 6+3x=30 as the answer is straight forward.
But the one equation that does not matches with the diagram is 3x=30-6 because its output is not straight forward.
3x =30-6
3x = 24
x = 24/3
x = 8
Fixing 8 into the equation
3x = 30-6
3(8) = 24
=24 is the answer and not 30
Therefore, Using the figure given, The one equation that matches with the diagram is 3x=30-6.
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write down simplest ratio of 125ml and 5ml
Answer:
25 : 1
Step-by-step explanation:
125 : 5. divide by 5 we get
25 : 1
Julian calculates the volume of a rectangular prism with the dimensions 3/4ft by 4 feet by 1/2 ft. His work is shown here.
What error did Julian make?
He multiplied the numerators incorrectly.
He multiplied the denominators incorrectly.
He simplified 12/6 incorrectly.
He wrote 4 as a fraction incorrectly.
Answer:
He multiplied the denominators incorrectly
Step-by-step explanation:
we know that
The volume of a rectangular prism is given by the formula
V=LWH
we have
L=3/4 ft
W=5/1 ft
H=1/2
substitute
V=(3/4)(5/1)(1/2)= 3x5x1= 15
₋₋₋₋₋₋₋₋ ₋₋₋₋ ft³
4x1x2= 8
therefore
He multiplied the denominators incorrectly
A cooler measures 8 inches by 8 inches by 3 inches. What is the surface area of the cooler?
2
in.
Answer: 192?
Step-by-step explanation:
i just think that that is the answer. you get the surface area by multiplying all of them just how you get area
PLEASE HELP BRAINLIEST how many small blocks of wood each of length 6cm, breath 4cm, and height 2cm can i cut out from a block of wood of length 2m, breadth 4cm and height 2cm WITH STEP BY STEP EXPLANATION
Answer:
33 blocks
Step-by-step explanation:
Given the length , breath and height for small block 6cm, 4cm, and 2cm an d for large 2m = 200cm, 4cm and 2cm.
volume is given by
V = Length x breath x height
Volume of small block = 6 x 4 x 2 = 48 cm^3
Volume of big block = 200 x 4 x 2 = 1600 cm^
No of blocks = Volume of big block/ volume of small block
= 1600/48
= 33.33
Therefore no of blocks formed = 33