Answer:
Step-by-step explanation:
Principle x Rate x Time
(550,000) (0.02) (360) = 3,960,000
Interest = 3,960,000
15 points!! & will give brainliest!
The graph of F(x), shown below, resembles the graph
of G(x) x2, but it has been changed somewhat. Which of the
following could be the equation of F(x)?
A. F(x) = 6x2 - 2
B. F(x) = – x2 - 2
C. F(x) = 0.6x2 - 2
D. F(x) = x2 - 2
A. [tex]f(x)=0.6x^{2} -2[/tex], is the correct answer.
[tex]g(x)=x^{2}[/tex] is shifted down [tex]2[/tex] units and is bigger by 0.6 units, which makes the new equation: [tex]f(x) =0.6x^{2} -2[/tex].
The equation of the transformed function is F ( x ) = 0.6x² - 2
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) = x²
And , the graph of the function is shifted 2 units down and stretched by a a scale factor of 0.6 units
So , the transformed function is
F ( x ) = 0.6x² - 2
Hence , the transformed function is F ( x ) = 0.6x² - 2 and the graph is plotted
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Trevor is painting a mural on a 1-square-meter section of a wall. He has completed a rectangular part of the mural that is 34 meter tall and 25 meter wide. What is the area of the part of the mural Trevor has completed? Please help!!
The area of the part of the mural Trevor has completed is
How does area of a rectangle, and its length and width are related?Area of a rectangle is the product of its length and width.
If a rectangle has length L units and width of W units, then
Area = L × W squared units.
Given;
Width of painting= 25m
Length of painting= 34m
Area of rectangle = L x W
= 25 x 34
= 850m^2
Therefore, the area of rectangle will be 850m^2
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A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.
Answer:
519.8 feet
Step-by-step explanation:
A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.
We solve this question using the Trigonometric function of Sine
sin theta = Opposite/ Hypotenuse
Theta = 12°
Hypotenuse = 2500 feet
Opposite = Height of the hill = x
Hence,
sin 12 = x/ 2500 feet
Cross Multiply
x = sin 12 × 2500 feet
x = 519.77922704 feet
Approximately = 519.8 feet
The height of the hill is 519.8 feet
The table shows the results of a survey of 100 people selected at random at an airport. Find the experimental probability that a person selected at random is going to City B.
The experimental probability that a person selected at random is going to City B is __
Answer:
3/50
Step-by-step explanation:
The experimental probability that a person selected at random is going to City B is 19/50.
What is the experimental probability?Experimental probability is a probability that is determined on the basis of a series of experiments.
The table shows the results of a survey of 100 people selected at random at an airport.
The total number of responses is;
= 24 + 38 + 14 +22 +2
= 100
The experimental probability that a person selected at random is going to City B is given by;
[tex]\rm Probability =\dfrac{Responses \ from \ city \ B}{Total \ responses}\\\\ Probability =\dfrac{38}{100}\\\\ Probability =\dfrac{19}{50}[/tex]
Hence, the experimental probability that a person selected at random is going to City B is 19/50.
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3. STOCK A computer stock lost 2 points
each hour for 6 hours. Find the total
points the stock fell.
Answer:
12
Step-by-step explanation:
if you add up 2, 6 times it would be 2,4,6,8,10,12
or you would multiply the 2 assuming that there was no number to subtract 2 six times from to start
HELPPPPPPPPPPPPPPPPP
Answer:
I assume you are finding for z so
z=
Step-by-step explanation:
34+66 = -32+z+32
100 = -32+z+32
132 = z+32
100 = z
z = 100
What is the gear ratio between gear 1 and gear 2 if gear 1 has 5 teeth and gear 2 has 55 teeth?
5:55
55:5
11:1
1:11
Answer:
1 : 11
Step-by-step explanation:
Ratio
gear 1 : gear 2
= 5 : 55 ( divide each part of the ratio by 5 )
= 1 : 11 ← in simplest form
Help if don't know don't answer and link i will report
∠6 is an alternate interior angle to ∠3
∠5 corresponds to ∠7
∠7 is a consecutive interior angle to ∠6
∠8 is an alternate exterior angle to ∠1
Simplify and solve for x: 54x + 20) = 7x + 30
Answer:
10/47
Step-by-step explanation:
54x+20=7x+30
54x-7x+20=30
47x+20=30
47x=30-20
47x=10
x=10/47
help
me
im so lost lol
Answer: 10.2
Step-by-step explanation:
Use the Pythagorean Thoerem
[tex]b=\sqrt{c^2-a^2}\\b=\sqrt{15^-11^2}\\b=\sqrt{225-121[/tex]
[tex]b=\sqrt{104}\\\\b=10.2[/tex]
Answer:
x = 10.2
Step-by-step explanation:
the exact solution is 10.19804
plz help me, I'm not trying to fail math
Rachel has scored 98, 83, and 68 on her previous three tests. What score does she need on her next test so that her average (mean) is 82?
Answer:Write the equation of this geometric sequence and find the value of the 9th term.
1/3, 1, 3, 9...
F(n)=
F(9)=
Step-by-step explanation:
You can put this solution on YOUR website!
The total of Jenny's 5 tests = 375
If she wants an average of 77 then
her 6 tests must total 6 x 77 = 462
462 - 375 = 87 which is what Jenny
must score on the sixth test for an
average of 77.
:-)
Answer:
79
Step-by-step explanation:
Sum of 4 test for Average of 82 must be 82 x 4 which is 328.
Subtract previous 3 scores from 328:
328 - (98 + 83 + 68)
328 - 249 = 79
She needs a 79
What number is 20% of 80
Answer:
16
Step-by-step explanation:
a trick that helps with percentages
if its 20% of 80, multiply 20 and 80 and then divide that by 100 so 1600 divided by 100. 16. hope this helps!!
A line passes through (2,4) and (-2,2).
a)Find the value of y if (6,y) lies on the
plane.
b)Does this line pass through the point of
Does this line intersect with the line
y=-x+3?
d) your answer was yes in b, in which
quadrant did they intersect?
Answer:
a) (6;6)
b) Yes
d) The intersection is on the vertical axis.
Step-by-step explanation:
a) A(2,4)
B (2,2)
Vecto BA (4, 2)
Vecto n (-4,2)
We have:
(2 - 4) x (X - (-2)) + (2 - (-2)) x (Y - 2) = 0
=> -2X + 4Y - 12 = 0
=> Y = X/2 +3
Let's find the value of y if (6,y) lies on the plane:
Put X = 6 => Y = 6
b)
X/2 + 3 = 3 - X
=> X/2 = -X
=> X =0 -> Y = 3
C (0;3)
d) The intersection is on the vertical axis.
I hope my answer will help you.
CAN SOMEONE WHO IS GOOD AT MATH HELP PLEESE !! ALSO PLEASE PUT ACTUAL ANWSERS I DONT OPEN SKETCHY FILES ON MY COMPUTER !!
Step-by-step explanation:
THE Question Satisfies For All The GraphNeeds help fast please
I’m stuck lol pls help
Answer:
x=90
Step-by-step explanation:
So, since x-20 is the vertical angle directly near 70, we can say:
x-20=70.
if we solve x is 90.
HOPE IT HELPS!!!!!!!!!!!
Nathan usually drinks 37 ounces of water per day. He read that he should drink 62 ounces of water per day. If he starts drinking 62 ounces, what is the percent increase? Round to the nearest percent.
Answer:
68%
Step-by-step explanation:
The increase is (62 - 37), or 25, ounces. Comparing this to the original quantity (37 oz), we divide 25 oz. by 37 oz., obtaining 0.676 (a ratio). Multiplying this ratio by 100%, we get 68% (to the nearest percent).
Figure B is a scale image of Figure A, as shown. Enter the scale factor applied to Figure A to produce Figure B: figure A, 3 2 4 and Figure B, 6 4 8
Answer:
1:2
Step-by-step explanation:
3x2=6
2x2=4
4x2=8
Multiplying all sides by two (or doubling all sides) gets the first triangle to the size of the second (or produces the second image).
So you know 2 is the answer, I am not sure how to write the scale factor maybe it is 1:2.
Please Answer ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
3/2 because you divide both by 2
Step-by-step explanation:
hope this helps. :)
The sum of two numbers is 10. The difference between three times the first number and twice the second number is 20. Find the two numbers.
Sample question text with
and
Answer:
one number x= 16
other number y = 4
2. The volume of a cylinder varies jointly with its height and the square of the radius. A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. Another spice container is 3 inches tall with a radius of 1.5 inches, what would be the volume?
Answer:
Volume=21.195 cubic inch
Step-by-step explanation:
The volume of a cylinder varies jointly with its height and the square of the radius is expressed as
V∝hr^2
Introducing our constant of proportionality,K we have that
V =Khr^2
Given that A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. We have that
V =Khr^2
7.85=K 2.5 X 1^2
K=7.85/2.5 x1
K=3.14
Given that another spice container is 3 inches tall with a radius of 1.5 inches, Volume=?
V =Khr^2
V=3.14 X 3 X 1.5^2
V=21.195 cubic inch
A rectangle is 12 meters long and 21 meters wide. Which dimensions
correspond to a non-similar rectangle?
Answer:
24m; 35m
Step-by-step explanation:
Donovan spent $5.75 at the fruit stand. He bought 3 apples and 2 oranges. He spent the rest of the money on bananas.
The question is incomplete:
Donovan spent $5.75 at the fruit stand. He bought 3 apples and 2 oranges. He spent the rest of the money on bananas. The image with the price per fruit is attached. How many bananas did Donovan buy?
A. 1 banana
B. 2 bananas
C. 3 bananas
D. 4 bananas
Answer:
D. 4 bananas
Step-by-step explanation:
First, you have to consider that the total amount paid is equal to adding up the results of multiplying the price for each fruit for the number of fruits purchased which would be:
Total cost=(3*0.75)+(2*1.25)+0.25x, x is the number of bananas
Total cost=2.25+2.5+0.25x
Now, you can replace the total cost with 5.75 that is the amount Donovan spent and solve for x:
5.75=2.25+2.5+0.25x
5.75-2.25-2.5=0.25x
1=0.25x
x=1/0.25
According to this, the answer is that Donovan bought 4 bananas.
Use the figure to find the measures of the numbered angles. Need help ASAP please I’ll give you 15 points
Answer:
∠1 = 90°, ∠2 = 90°, ∠3 = 90°, ∠4 = 90°, ∠5 = 90°, ∠6 = 90°, ∠7 = 90°
Step-by-step explanation:
From the question, we have;
∠1 and the 90° are supplementary angles
∴ ∠1 = 180° - 90° = 90°
2) ∠2 is vertically opposite to the 90° angle, therefore;
∠2 = 90°
3) ∠3 is vertically opposite to ∠1 , therefore;
∠3 = 90°
4) ∠4 is the corresponding angle to the given 90° angle, therefore;
∠4 = 90°
5) ∠5 is the corresponding angle to ∠1, therefore;
∠5 = ∠1 = 90°
6) ∠6 and ∠2 are corresponding angles;
∴ ∠6 = ∠2 = 90°
7) ∠7 and ∠3 are corresponding angles;
∴ ∠7 = ∠7 = 90°
please help me match them
Answer:
.
Step-by-step explanation:
Pls help me with my work
Evaluate 14y3 = 2 + 901 for y=6* Your answer
Answer:
hxhGmzgkzjzjzultstusutsyisyidyxyixyostosyosyisuoxuxhckcifidususu
Step-by-step explanation:
yeesyhdbdhdhdufhfhfbfbdbdvdvdvxbcbdhdhdhshssbbssgOysyizykxlhdloyzkhxkgxigsoyxly khxiyyykxkg
A six faced dice is rolled 6 times. Find the probability of getting at LEAST one 3.
Answer:
it's a 1/6 chance because it's a 6 faced dice
if -1 is a root of f(x), which of the following must be true
A. a factor of f(x) is (x-1)
B. a factor of f(x) is (x+1)
C. both (x-1) and (x+1) are factors of f(x)
D. neither (x-1) nor (x+1) is a factor of f(x)
Option (B) is correct, A factor of f(x) is x+1.
What is function?A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
Given that,
Function f(x) has one root, which is -1.
Implies that,
for the function f(x),
x = -1,
or (x+1) = 0,
So, (x+1) is the factor of the function f(x).
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