Answer:
34°Step-by-step explanation:
I'm a little confused by your question. But I solved the question this way.
y+12+2y-18+2y+16=180
Why 180° you ask? Because the angle sum interior of a triangle always measures 180°.
(y+2y+2y)+(12+−18+16)=180
5y+10=180
Subtract
5y+10−10=180−10
5y=170
divide
5y/5=170/5
y=34
Which statement is true regarding the functions on the
graph?
f(2) = g(2)
f(0) = g(0)
f(2) = g(0)
f(0) = g(2)
Answer:
Im pretty sure its f(0) = g(0)
Step-by-step explanation:
A chair cost $250 last year and $175 this year by what percent did the price decrease?
Answer:
I believe it is 50% decreased, not sure
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
in order to find the percentage of the price decrease,we must find the difference between the prices
250-175=75
the price has dropped 75$
to find the percentage, we do 75/250
which can be simplified to 3/10 or 30%
We can check this by finding 30% of 250 which is 75
75=75
Choose the function represented by the data.
O f(x) = h2 + 4h + 80
O f(x)=5h2 -5h + 13
O f(x) = h +50h2 - 120h
O f(x) = 5h3 - 50h2 + 130h
Answer:
Option (4)
Step-by-step explanation:
To solve this problem we will satisfy the polynomials given in the options with the input-output values given in the table.
Lets take a point (4, 40),
Option (1),
f(h) = h² + 4h + 80
40 = 4² + 4(4) + 80
40 = 16 + 16 + 80
40 = 112
False.
Therefore, table doesn't represent the polynomial given in option (1).
Option (2)
f(h) = 5h²- 5h + 13
40 = 5(4)² - 5(4) + 13
40 = 80 - 20 + 13
40 = 73
False.
Therefore, table doesn't represent the polynomial given in option (2).
Option (3)
f(h) = h³ + 50h² + 13
40 = 4³ + 50(4)²+ 13
40 = 64 + 800 + 13
40 = 873
False.
Therefore, table doesn't represent the polynomial given in option (3).
Option (4)
f(h) = 5h³- 50h²+ 13h
40 = 5(4)³ - 50(4)²+ 130(4)
40 = 320 - 800 + 520
40 = 840 - 800
40 = 40
True.
Therefore, given table represents this polynomial.
Option (4) will be the answer.
3. Fiona opened a retirement account that has an annual yield of 6%. She is planning on retiring in 20 years. How much must she deposit into that account each year so that she can have a total of $600,000 by the time she retires?
Fiona must deposit $18,277.65 into her retirement account each year for the next 20 years in order to have a total of $600,000 by the time she retires.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The present value of an annuity is:
PV = PMT x [(1 - (1 + r)⁻ⁿ) / r]
Where PV is the present value,
PMT is the periodic payment
r is the interest rate per period (6% per year), and
n is the number of periods (20 years).
We want to find PMT, so we can rearrange the formula to solve for it:
PMT = PV x [r / (1 - (1 + r)⁻ⁿ)]
We know that PV is $600,000, r is 6% or 0.06, and n is 20.
Plugging these values into the formula, we get:
PMT = $600,000 x [0.06 / (1 - (1 + 0.06)⁻²⁰)]
PMT ≈ $18,277.65
Therefore, Fiona must deposit $18,277.65 into her retirement account each year for the next 20 years in order to have a total of $600,000 by the time she retires.
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Solve for x.
Please.
Write an equation of the line below
Answer:
I don't see the equation so when you put it I can answer
but I will help when you put the equation
Step-by-step explanation:
Find the Slope and Y Intercept of the equation of a line: y = 14x + 21.
Write your answer without using variables, decimals, or exponents.
if I burned 225 calories in 45 minutes how much will I burn in one minute
Answer:
5 calories per minute
Step-by-step explanation:
225÷45=5
simplify 3square root 5 over 4square root of 5
Answer:
5[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
This is the answer because:
1) We have to do 5^1/3 x 5^-1/4
2) Next, we do 5^1/3 - 1/4 which is 5^1/12
Therefore the answer is 5^1/12
Hope this helps!
The simplified value of the given expression is 5¹/₁₂
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, [tex]\frac{\sqrt[3]{5} }{\sqrt[4]{5} }[/tex], we need to simplify it,
5¹/₃ / 5¹/₄
= 5⁽¹/₃-¹/₄⁾
= 5¹/₁₂
Hence, the simplified value of the given expression is 5¹/₁₂
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A 14 ft ladder is used to scale a 13 ft wall. At what angle of elevation must the laxder be situated in order to reach the top of the wall?
Answer:
The angle of elevation is equal to 68.2 degrees
Step-by-step explanation:
As you can see from the image below we are trying to find the angle on the bottom right.
We know that the hypotenuse is equal to 14 and we know that the opposite is equal to 14. This means that we will be using Sine.
sin x = 13/14
divide:
sin x = 0.9285714286
now we need to use sin^-1
sin^-1 (0.9285714286) = 68.21321071
Round 68.21321071 to the nearest tenth:
68.2
The angle of elevation is 68.2 degrees!
Answer:
[tex]\theta \approx 68^\circ[/tex]
Step-by-step explanation:
Trigonometry
The ladder, the wall, and the ground form a right triangle, where the ladder is the longest side (hypotenuse).
The trigonometric ratios stand on right triangles and can be used to relate side lengths with angles.
The angle of elevation, formed by the ladder and the ground has the height of the wall as the opposite side. Thus we can use the sine ratio, defined as:
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin\theta=\frac{13}{14}[/tex]
Solving:
[tex]\displaystyle \theta=\arcsin \frac{13}{14}[/tex]
Calculating:
[tex]\mathbf{\theta \approx 68^\circ}[/tex]
Graph this function using intercepts:
18x–42y=1,260
Answer: 260 on graph
Step-by-step explanation: 18x - 42y = 1
Heather needs to buy some pencils . Brand A has a pack of 24 pencils for $4.48 . Brand B has a pack of 36 pencils for $6.24
PLEASE HELP DUE TODAY TOOOO!!!!
Answer:
f(4) is 6,520 greater than g(4)
Step-by-step explanation:
Explain the meaning of the point (1,1.5) in terms of the situation.
Answer:
there will be 1.5 table spoons of olive oil for every 1 tablespoon of vineagar
Step-by-step explanation:
YOU GET BRAINLIEST IF CORRECT!!!!!
It's really easy to solve this problem all you have to do is long division with 4,274 and 51.
4,274 divided by 51 is = to 83 but it still has decimals leftovers meaning there would be a remainder and since we already found out 81 is part of the answer we know it won't be 91 and it has to be 83 with a remainder!
Kimberly is working in the mall. He is working making $12 an hour.
She wants to buy a bicycle that costs $192. How many hours does she need to work to
have enough money ?
The graph of which of the following equations contains the points (2,3) and (3,2)
Answer:
[tex] y = 5 - x [/tex]
Step-by-step explanation:
The graph of the equation that will contain the points (2, 3) and (3, 2) is the graph that has a slope value that is equivalent to the slope value of the line running through the two points.
Slope of the line running through (2, 3) and (3, 2):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 3}{3 - 2} = \frac{-1}{1} = -1 [/tex].
Slope (m) = -1.
The equation, [tex] y = 5 - x [/tex] , is given in the slope-intercept form, which means it has a slope value of -1. I.e. the term "-x" is equivalent to -1x. So therefore, the graph of the equation that contains the points (2, 3) and (3, 2) is [tex] y = 5 - x [/tex].
solve for x for both of these plssss i need help
Answer:
top one is -7
bottom one is -3
Step-by-step explanation:
Nina works at Sweet Smoothies. She uses 3/4 of a cup of crushed ice in each smoothie. When Nina starts her
shift, there are 24 cups of crushed ice in the ice maker. How many smoothies can she make with thatice
Answer:
32
Step-by-step explanation:
Find the GCF for the pair 4, 49.
HELP I DON'T WANNA GET THIS ONE WRONG
Which letter has rotational symmetry?
A. Q
B. H
C. G
D. A
Answer: (B). H
Step-by-step explanation:
Got it ?
HELP ASAP!!! determine how if possible the triangles are similar
Answer:
d not simlar just letting u know ur getting it wrong
Step-by-step explanation:
Answer:
I think A or C would be the answer! Hope this helped a little!!
distribute -4(5x ²-2x).
Answer:
-20x^2+8x
Step-by-step explanation:
That is -20x squared by the way
You’re welcome :)
can you explain this question please
Answer:
B
Step-by-step explanation:
θ and B are corresponding angles
Each is in the same position ( upper right hand corner ) in its group of four angles.
Find the equation of the line through point (-2,-2)and parallel to 3x+4y=12
Yesterday, between noon and midnight, the temperature went down by 32.1°F. If the temperature was -6.6°F at midnight, what was it at noon?
Answer:
25.5°F
Step-by-step explanation:
²3¹¹2.¹1
6.6 - Bold means that its supposed to have a strikethrough 2 5.5 meaning the number is being cancelled
just take 6.6 away from 32.1
The equation of a horizontal line through (5,2) in slope-intercept form ?
Answer:
y=2 is the correct answer:)
Step-by-step explanation:
In how many ways could 10 people be seated at a rectangular table if the two hosts should not sit
together? Show work.
Answer:
ok
Step-by-step explanation:
Answer:
9 ways.
Step-by-step explanation:
Which mixed number is equivalent to twenty nine thirds?
Answer:
9 2/3
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
9 2/3
If you were evaluating the expression (20 - 2^4)^4(20−24 )4 - 6, what would you do first?