Answer:
See attached image.
Step-by-step explanation:
Calculate the vales of each function (f and g) for the value of x as indicated. Then perform the arithmetic operation on the results. For example:
f(-3) = 10
g(-3) = -10
Then (f+g)(-3) is 10 - 10 = 0
(f-g)(-3) is 10 -(-10) = 20
and so on, as shown.
If the exterior angle of a regular
polygon measures 12°, how
many sides does the polygon
have?
Work Shown:
E = exterior angle = 12 degrees
n = number of sides
n = 360/E
n = 360/12
n = 30
This regular polygon has 30 sides.
Diego wants to have $1,000,000 in 5 years. He plans to invest $250,000 to start and make yearly payments of $125,000 to the account. He will be receiving 3.5% interest compounded monthly on his investment. Will he reach his goal?
No
Yes
Answer:
Yes
Step-by-step explanation:
With the $875,000 from his input alone he is really close to $1,000,000 and doing simple intrest on the $250,000 is $105,000 a year is he earns 3.5% intrest a month.
So in 5 years he'll have about $1,662,500 using simple intrest but with compound it'd be more like 2mil
Hope this helps!
a
In a survey of 450 people, 74% admitted that
they hate brussels sprouts. How many people in
this survey hate this vegetable?
Answer:
333 people
Step-by-step explanation:
74% of 450 = 0.74
0.74 × 450 = 333
Have a great day! :D
There are 333 peoples in this survey hate this vegetable.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
In a survey of 450 people, 74% admitted that they hate brussels sprouts.
Hence, Number of peoples in this survey hate this vegetable is,
⇒ 74% of 450
⇒ 74/100 × 450
⇒ 333
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10×10^-11
[tex]10 \times 10 to \: the \: power \: of \: - 11[/tex]
10×10^-11
Answer:
[tex] {10}^{ - 10} [/tex]
Step-by-step explanation:
since the base is the same you have to add +1 to -11 which equals to -10
Explain why this comparison is either reasonable or not reasonable. 3.4 < 3.36
Answer:
3.4>3.36
Step-by-step explanation:
It is not reasonable because 3.4 is greater than 3.36.
Find the length of x
What is the answer to 11 > b + 4 > -6
[tex]11 > b+4 > -6\\11 - 4 > b > -6-4\\7 > b > -10[/tex]
Hope that helps!
use the following function to find f(2) f(x) = 11x + 2
Answer:
123
Step-by-step explanation:
insert 2 everywhere you see an x
11^2 +2 = 121+2 = 123
HOPE THIS HELPS!!!
What is the value of n?
Answer:
4x6=3*n
Step-by-step explanation:
just got it off the web enjoy might not be right
The scale on a map shows that 1 inch = 30 miles. If there are 4.5 inches between your present location and the place you want to go, how many miles do you have to ?
Scale : 1 inch = 30 miles
So, the ratio between the distance on the map and the real distance is 1:30
When a quantity increase/decrease in a ratio, the other one increase/decrease respectively.
Call the miles we have to go : x
1:30 = 4.5:x
(1x4.5):(30x4.5) = 4.5 : x
4.5 : 135 = 4.5 : x
So, x = 135 => We have to go 135 miles to get to the place we want to go.
The Coffey family went out to dinner. Their meal cost $75. They used a 20% off coupon. How much did their meal cost after using the coupon
How much would $200 invested at 4% interested compounded monthly be worth after 8 years? Round your answer to the nearest cent. A(t)=P (1+r/n)^nt
Answer:
the answer for this question is (D).
Step-by-step explanation:
given
P=200
R=0.04
N=12 (12 months in 1 year)
t=8
A=275.279
round
275.28
(D) is the answer to your question
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also i just learned this so i should be right
in an isosceles right triangle ABC, the right angle is at B, which is the hypotenuse?
A. AB
B. BC
C. AC
D. BA
Answer: c
AC is the hypotenuse
HELP PLEASE PLEASEE I WILL GIVE 50 POINTS
Answer:
the first one is 3 4 6 8
the cost is 9.75 i belive and then 15
Step-by-step explanation:
sorry if im wrong
Find the area of the composite figure below.
Answer:
15
Step-by-step explanation:
To find area, you must add.
Can someone help with this challenging graph
Answer:
(a) (-∞, -8) (-6, -4) (-2, ∞)
(b) -6, -2
(c) negative
(d) 5
Step-by-step explanation:
(a) A function is "decreasing" when the y-value decreases as the x-value increases.
⇒ the function is decreasing over these intervals : (-∞, -8) (-6, -4) (-2, ∞)
(b) Local maxima are the points on the function where it reaches a maximum.
⇒ maxima at x = -6 and x = -2
(c) negative
(d) 5
can someone help me with my math problem, im having trouble understanding the question, also this is 6th grade math.
Answer:
B
Step-by-step explanation:
as far as I can tell, Check the picture below.
[tex]\stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{}{\cfrac{13}{4}\implies \stackrel{\textit{how many times does }\frac{3}{4}\textit{ go into }\frac{13}{4}?}{\cfrac{3+3+3+3+1}{4}\implies \underset{\textit{4~times with a remainder of }\frac{1}{4}}{\cfrac{3}{4}+\cfrac{3}{4}+\cfrac{3}{4}+\cfrac{3}{4}~~ + ~~\cfrac{1}{4}}}}~\hfill \blacktriangleright 3\frac{1}{4}\div \cfrac{3}{4} \blacktriangleleft[/tex]
m∠BAC=43 and BA=9 What is the length of arc BDC? Round to the nearest tenth.
Answer: 224.1
Step-by-step explanation:
HELP PLEASE
A circle has a diameter AB, and its center is at (-3, 3). Point A is at (1/2,6). Where is point B located?
a-(-6.5, 0)
b-(6.5, 0)
c-(0, -6.5)
d-(-1.25, 4.5)
letter c.
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ANSWER
\huge\green{\overline{\qquad\qquad\qquad\qquad \: \: \: }}
The required coordinates of point B is (-6.5, 0), therefore option a is correct.
To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
In this case, point A is given as (1/2, 6) and the center of the circle is at (-3, 3). Let's denote the coordinates of point B as (x, y). Since the center of the circle is the midpoint of the diameter AB, we can set up the following equation:
Midpoint = ((1/2 + x) / 2, (6 + y) / 2) = (-3, 3)
Now, let's solve for x and y:
1/2 + x = -6
x = -6 - 1/2
x = -6.5
6 + y = 6
y = 6 - 6
y = 0
So, the coordinates of point B are (-6.5, 0).
Therefore, the correct answer is an option: a-(-6.5, 0).
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A prism is dilated by a factor of 1. 5. How many times larger is the volume of the resulting prism than the volume of the original prism? Enter your answer as a decimal in the box.
The volume of the resulting prism is 3.375 times of original volume.
What is a dilation or scale factor?The factor by which the dimensions of an object are enlarged is called the scale factor.
Let us take the base area of Prizm = a²
Height of the prism = h
Enlarged area = (scale factor)² * previous area
Enlarged area = 1.5²*a² = 2.25a²
Enlarged height = 1.5h
So, enlarged volume = enlarged area* enlarged height
Enlarged volume= 2.25a²*1.5h = 3.375a²h
Enlarged area/previous area = 3.375a²/a² = 3.375
Therefore, the volume of the resulting prism is 3.375 times of original volume.
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The total value of the pennies and nickels was $14.50. Hala counted the coins and found there were 450 coins in all. How many of each type of coin did she have?
Answer:
Hala will have 200 Pennies and 250 nickels.
Step-by-step explanation:
Let x be = number of Pennies
Let y be = number of nickels
x + y = 450
-x -x
——————
y = -x + 450
0.01x + 0.05y = 14.50
0.01x + 0.05( -x + 450 ) = 14.50
0.01 - 0.05x + 22.5 = 14.50
-0.04x + 22.5 = 14.50
-22.5 -22.5
———————————-
-0.04x = -8
——— —
-0.04 -0.04
x = 200
200 + y = 450
-200 -200
————————
y = 250
Help me pleaseeeeeeee
Express as a trinomial. (x-2)(3x-9)
Answer:
3x + 9)(x - 2) = 3x(x - 2) + 9(x - 2) = (3x 2 - 6x) + (9x - 18) = 3x 2 + 3x - 18
The radius of a circle is 10 meters. What is the length of a 135° arc?
Answer:
Step-by-step explanation:
The total circumference of the circle is: C = 2*pi*radius = 2*(3.14159)*(6) = 37.7 m The total circle has 365o. Your arc has only 135o. Hence: 135o x------- = -------------365o 37.7 m where x is the length of the 135o arc. Solve for x.
plssssssssssssssssssssss helpppp
Maria invests .93750 at 9.6% per annum for 3 years and the interest is compounded annually. Calculate:
i) The amount to her credit at the end of 2 year
ii) The interest for 3rd year.
Please answer its important
Susan needs to walk a total distance of 1/2 of a mile. She has walked 1/8 of a mile so far. How much further does she have to go? Simplify the fraction if possible.
She needs to walk 3/8 of a mile to reach her destination
Difference of fractionsFractions are written as a ratio of two integers
Given the following parameters
Total distance walked = 1/2 miles
Distance walked so far= 1/8 miles
Determine the miles she needs to go further
D = 1/2 - 1/8
D = 4-1/8
D = 3/8
Hence she needs to walk 3/8 of a mile to reach her destination
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Where in real-life will we come across something that is more than 100%, e. G. 135%? Give three examples
Real life situations can be represented using mathematical statements
Examples of real life situations of things more than 100% are:
Markup pricesEnlarging the area of a gardenIncrease in savingsHow to determine the real life scenariosWhen something is greater than 100%, then there is an increment in the thing.
Take for instance, a unit of apple that was sold at $4 is not $10.
The percentage change is 150%
Other possible scenarios are when the area of a garden is enlarged and when you increase your weekly savings by more than 100%
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Last week, Kip went to the fair. It costs $4.95 to enter the fair and $0.50 per ticket. In the equation below, x represents the number of tickets Kip bought, and y represents the total amount Kip spent.
y = $0.50x + $4.95
If Kip spent $12.45 at the fair, how many tickets did he buy?
Group of answer choices
8
15
25
35
Answer:
x = 15
Step-by-step explanation:
[tex]12.45=4.95+0.5\timesx[/tex]×x
Solve the equation
[tex]12.45=4.95+0.5x[/tex]
Rearrange variables to the left side of the equation
[tex]-0.5x=4.95-12.45[/tex]
Calculate the sum or difference
[tex]-0.5x=-7.5[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=\frac{-7.5}{-0.5}[/tex]
Determine the sign for multiplication or division
[tex]x=\frac{7.5}{0.5}[/tex]
Multiply both the numerator and denominator with the same integer
[tex]x=\frac{75}{5}[/tex]
Cross out the common factor
[tex]x=15[/tex]
I hope this helps you
:)
(show ur work) what is 9 3/5 ÷ 3 1/3 =
Answer:
2 22/25
Step-by-step explanation:
9 3/5 ÷ 3 1/3
We need to convert to improper fractions
9 3/5 = ((5*9)+3) /5 = 48/5
3 1/3 = (( 3*3)+1)/2 = 10/3
48/5 ÷ 10/3
Copy dot flip
48/5 * 3/10
Rewrite
48/10 * 3/5
24/5 * 3/10
72/25
Rewrite as a mixed number
50/25 + 22/25
2 22/25