Answer:
See below:
Step-by-step explanation:
The term [tex]f(x)[/tex] is used to show the function of x and is essentially the same as y in some cases. One being right now.
So we know the function [tex]T(n)[/tex] and we know that we want to solve for [tex]T(12)[/tex].
So what we can do, is input 12 as n in the original function.
Therefore, we get [tex]T(12)=\frac{2}{3} (12) + 3[/tex]
Using algebra, we can solve it and we get 11!
Cheers!
Writing in Math Stacy multiplied 5 x 9 and said the nswer was 44. What two patterns could you use to show nat her answer is not correct?
Answer:
5*9= 45
Step-by-step explanation
Well using your hands you can put down your fifth finger and that will give you four fingers on the left and five on the right that then equals 45
In carbon dioxide molecules, for every 2 oxygen
atoms there is 1 carbon atom. How many oxygen atoms
combine with 50 carbon atoms to form carbon dioxide
molecules?
Answer:
100 oxygen molecules simple math
(PLEASE HELP!!)
Use the given figure to complete the statement below.
∠1 and ∠2 are what
angles?
-Congruent
-Similar
-Supplementary
-Complementary
Write x/2 - 2x + 4/ x + 1 as a single fraction, in its simplest form.
Answer:
x²-3x - 8 2(x + 1)
Explanation
Find common denominator and write the nu merators above common denominator:
x(x + 1) − (2x + 4) × 2
2(x + 1)
Apply Multiplicative Distribution Law :
x² + x - 4x = 8
2(x + 1)
Reorder and gather like terms:
x² + (x − 4x) — 8
2(x + 1)
Collect coefficients for the like terms:
x² + (1-4) × x-8
2(x + 1)
Calculate the sum or difference:x²-3x -8
2(x + 1)
Answer:
x²-3x - 8
2(x + 1)
Which one is not a function? And why not ?
Answer:
the selected answer/2
Step-by-step explanation:
not a function because the same y has 2 different x values
Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm
Answer:
936 cm²
Step-by-step explanation:
The surface area is the sum of all the faces.
The base is a rectangle with
area = 24 × 7 = 168 cm²
The back is a rectangle with
area = 18 × 7 = 126 cm²
The sloping face is a rectangle with
area = 30 × 7 = 210 cm²
The 2 triangular faces are congruent with
area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then
area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²
Then
surface area = 168 + 126 + 210 + 432 = 936 cm²
B.
Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
А
SAS Congruence Postulate
OHL Congruence Theorem
AAS Congruence Theorem
These triangles are congruent by the AAS Congruence Theorem.
What is Congruence Theorem?Congruence Theorem states that if two triangles have congruent corresponding parts then they are congruent.
Given is a figure, we need to find that which theorem proves that these two triangles are congruent
In Δ MNR and Δ QNP
∠ MNR = ∠ QNP (Vertically opposite angle property)
∠ RMN = ∠ QPN (Corresponding angle property)
RN = NQ (As given in the diagram)
Therefore,
Δ MNR ≅ Δ QNP by AAS rule
Hence proved
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The figure is not given, so the question has been solved for the attached one.
Please help! People on my last post didn’t help :(! I’ll give brainliest.
Bill keeps a colony of honeybees on his property. He has created an expression to represent
the number of honeybees that are in the colony t years after he decided to create the colony.
The expression Bill created is -1644 + 160t2 – 144.
After deciding to create the colony, it took a fair amount of time to prepare before actually
getting bees in his colony. After some time, the population in the colony started to decrease;
eventually Bill lost his colony.
(The questions are listed in the photo)
Answer:
It is 7823
Step-by-step explanation:
This is the right answere because it shows us how each number is placed and what we do with it
Help please I need help please
Answer:
25 and 100 I think
Step-by-step explanation:
because the line is between the 20 and the 30 so it its 25
Find the angles a, b, c and d.
What is the geometric mean of
1. 16 and 27
2. 24 and 32
3. 5 and 36
4. 8 and 48
Answer:
1. 12√3
2. 16√3
3. 6√5
4. 8√6
Step-by-step explanation:
To find the geometric mean of n numbers multiply the numbers and then take the nth root.
For two numbers n = 2
it's the square root of the product
√(16 * 27)
√432
12√3
√(24 * 32)
√768
16√3
√(5 * 36)
√180
6√5
√(8 * 48)
√384
8√6
what are the reasons?
Answer:
Step-by-step explanation:
1. ∠WVX , ∠YZX are right angled triangles 1.Given
2. WV ≅ YZ 2. Given
3. X is the midpoint of WY 3. Given
4. WX ≅ YX 4. definition of midpoint
5. ΔWVX ≅ ΔYZX 5. RH congruent
As I was planting my sunflowers, I had to use 2 different sized flower pots. Now, some are very tall and others are not! Why would this be?
just wanted to know if you can answer
Answer:
Step-by-step explanation:
There are differents sizes of pots because there are different sizes of flowers and plants, some need more space to grow. :)
Answer:
When seedlings are a 3-6 inches tall, transplant to individual pots, with 1 plant per 8 inch pot. Larger pots (15-inch diameter) can have up to 3 plants.
Step-by-step explanation:
In a telephone poll, 11 people said they like shopping and 9 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the number of people who like shopping? hurry I need helpppp
Answer:
9:11
Step-by-step explanation:
well 11 and 9 can be simplified so......
Is that the right answer
Answer:
Yes
Step-by-step explanation:
Loss=(C.P)-(S.P)
C.P= x and S.P= y
Loss= x-y
Loss= $(x-y)
first to answer get brainliest thankss :)
Answer:
47
Step-by-step explanation:
First, we find angle 2. It is a supplementary angle with that 104 exterior so we take 180-104=76. Angle 2 is 76.
Now that we have two angles of the triangle, we can set up the equation:
76+57+x=180
we have 180 because all three angles of any triangle equal 180.
solving for x:
simplify the equation, (x)+(76+57)=180
combine like terms, x+133=180
Subtract 133, 180−133=47
x=47.
HELP I HAVE A TEST TMR MORNING!!!!!!
A boat tied up at a dock bobs up and down with passing waves. The vertical distance between its high point and its low point is 1.8m and the cycle is repeated every 4 s.
Here is the equation that models this: [tex]f(x)=0.9sin(\frac{\pi }{2} x)[/tex]
^The y-coordinates are in m and the x coordinates is the time in seconds
b) Use the model to determine when, during each cycle, the boat is 0.5m above the mean positition.
BRAINLIEST!!!!
The time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s
Since y = f(x) = 0.9sin(πx/2)
We want to determine the time, x at which the boat is 0.5 m above its mean position. This is the value of y at y = 0.5 m
So, y = f(x) = 0.9sin(πx/2)
0.5 = 0.9sin(πx/2)
Dividing through by 0.9, we have
0.5/0.9 = sin(πx/2)
5/9 = sin(πx/2)
Taking inverse sine of both sides, we have
sin⁻¹(5/9) = πx/2
sin⁻¹(0.5556) = πx/2
0.589 rad = πx/2
x = 2 × 0.589/π
x = 1.178/π
x = 0.375 s
Since the boat repeats its cycle every 4 seconds, the time the boat is 0.5 m above the mean position after n cycles is t = (4n + 0.375) swhere n is a positive integer. That is n = 0, 1, 2, 3...
So, the time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s
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Given that p varies directly as q and
[tex] \sqrt{q} [/tex]
varies inversely with t², show how p varies with t.
Answer:
Above is the step-by-step solution
[tex]\\ \sf\longmapsto p\propto q [/tex]
[tex]\\ \sf\longmapsto p=kq[/tex]
Divide both sides by q[tex]\\ \sf\longmapsto \dfrac{p}{q}=k[/tex]
[tex]\\ \sf\longmapsto q=\dfrac{p}{k}[/tex]
Now
[tex]\\ \sf\longmapsto p\propto \sqrt{q}[/tex]
[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^2}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{k}{t^2}[/tex]
Substitute√q[tex]\\ \sf\longmapsto \sqrt{q}=\dfrac{k}{t^2}[/tex]
[tex]\\ \sf\longmapsto q=\dfrac{k^2}{t^4}[/tex]
Substitute q=p/k[tex]\\ \sf\longmapsto \dfrac{p}{k}=\dfrac{k^2}{t^4}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{k}{t^4}[/tex]
[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^4}[/tex]
Done
If the shortest side in a 30° 60° and 90° triangle is a half an inch long find the length of the other two sides
the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.
In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:
- The side opposite the 30° angle is half the length of the hypotenuse.
- The side opposite the 60° angle is √3 times smaller than the hypotenuse.
- The hypotenuse is twice the length of the side opposite the 30° angle.
Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).
Then:
- The side opposite the 30° angle = x = 0.5 inches
- The side opposite the 60° angle = √3 * x = √3/2 inches
- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch
So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.
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Can someone please give me examples of linear, quadratic, Absolute value, square root, cubic, cube root, exponential, logarithmic, and rational function (parent function) equations to help my friend? Please and thank you. I'll give brainliest to the first person who does all of them and get them right.
Answer:
Step-by-step explanation:
Consider the cube root parent function.
( graph in photo below )
Complete the statements to make them true.
A cube root function will ( 1 ) ________ have an x-intercept and ( 2 ) ________ have a y-intercept.
For the parent cube root function, ( 3 ) ____________ located at .
Answer:
1. always
2. always
3. both intercepts are
the explination photos below
Answer:
I got you
[tex]f(x)=3x+2[/tex]
[tex]f(x)=4x^2+3x+7[/tex]
[tex]f(x)=|x+4|[/tex]
[tex]f(x)=\sqrt{x+12}[/tex]
[tex]f(x)=6x^3+4x^2-3x-5[/tex]
[tex]f(x)=\sqrt[3]{3x-5}[/tex]
[tex]f(x)=2^x[/tex]
[tex]f(x)=log_3(x)[/tex]
[tex]f(x)=\frac{x+5}{x-3}[/tex]
Each function is respective to the order of the list given.
Let me know if you want the graphs
3x=15 question answer
Answer:
x=5
Step-by-step explanation:
To solve for the value of x, you have to get x by itself. So to get rid of the 3, divide both sides by 3. 3x/3 leaves x. 15/3 leaves 5. So you're left with x=5.
The solution of expression 3x = 15 is,
⇒ x = 5
We have to given that,
An expression to simplify,
⇒ 3x = 15
We can simplify the expression for value of x,
⇒ 3x = 15
Divide both side by 3,
⇒ 3x/3 = 15 / 3
⇒ x = 5
Therefore, The solution of expression 3x = 15 is,
⇒ x = 5
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60 divided by the ratio of 7:3
Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -
Answer:
Refer to the attachment
Can someone help me with this one. I got it wrong
Answer:
I believe the answer is D
Step-by-step explanation:
Please help meeeeee plzzzzz
tax because the tax shows you what you paid and ect
ANSWER ASAP WILL AWARD BRAINLIEST
Answer:
18/5 + −8/5√3 (as a decimal: 0.828719)
with complete solution please I need Thanks
Answer:
14
Step-by-step explanation:
We can make this and equation
x • y = 1260
x = 3y +48
Our equation is
(3y +48)y = 1260
We get y = 14
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
a. 2.3p – 10.1 = 6.4p – 4
b. 2.3p – 10.1 = 6.49p – 4
c. 230p – 1010 = 650p – 400 – p
b. 23p – 101 = 65p – 40 – p
e. 2.3p – 14.1 = 6.4p – 4
I need help on Tales mathemathics below on image
Answer:
x=5
Step-by-step explanation:
i'm assuming the upper left expression is x-1 and that the 3 horizontal lines are parallel
the three horizontal lines seem to be parallel, so we have (x-1)/6 = 6/(x+4). cross multiply to get (x-1)(x+4) = 36, or x^2 +3x - 4 = 36. subtract 36 from both sides to get x^2 + 3x -40 = 0, factor or use the quadratic formula to get (x+8)(x-5)=0, so x=-8 or x=5, since we are looking for a length x can't equal -8, so x=5,
is it an inverse or a reciprocal? Pls help ASAP!!!
Answer:
An inverse of a fraction is a reciprocal of a fraction. In other words, flipping the numerator and denominator provides the reciprocal of fraction. For example, the reciprocal of fraction 3/5 is 5/3.
Step-by-step explanation: