Answers
Answer:
A.
Step-by-step explanation:
Vertical shifts are represented by - or +, and they are not within the parenthesis. Since the function is being shifted down by 2 units, the correct answer is A.
Related Questions
The heights of male students are normally distributed with a mean of 158 cm and a
standard deviation of 5 cm.
Find the percentage of male students who are between 145 cm and 170 cm.
Round your
answers to the nearest hundredths.
Answers
Answer: The percentage of male students who are between 145 cm and 170 cm = 98.71%
Step-by-step explanation:
Let x denotes the height of male students.
As per given,
[tex]\mu=158,\sigma=5[/tex]
The probability of male students who are between 145 cm and 170 cm
= [tex]P(145<X<170)[/tex]
[tex]=P(\dfrac{145-158}{5}<\dfrac{X-\mu}{\sigma}<\dfrac{170-158}{5})\\\\=P(-2.6<Z<2.4)\\\\=P(Z<2.4)-P(Z<-2.6)\\\\=P(Z<2.4)-(1-P(2.6))\\\\=0.9918-(1-0.9953)\\\\= $$0.9871[/tex]
Hence, the percentage of male students who are between 145 cm and 170 cm = 98.71%
Sara invests $4000 at 7.2% annual interest compounded monthly. Find the final amount of Sara's investment after 15 years. *
Answers
Answer:
$8,711.99
Step-by-step explanation:
The formula for calculating the compound interest in expressed as;
A =P(1+r/n)^nt
Principal P = $4000
r is the rate = 7.2% = 0.072
t is the time = 15years
n = 1/12
Substitute
A = 4000(1+0.072(1/12))^15/12
A = 4000(1+0.072(12))^1.25
A = 4000(1+0.864)^1.25
A = 4000(1.864)^1.25
A = 4000(2.1779)
A = 8,711.99
Hence the final investment after 15years is $8,711.99
Find the slope of a line through (4, 5) and (4, -5). Determine if the line is vertical, horizontal, or neither.
Answers
Answer:
Vertical
Slope cannot be determined
Step-by-step explanation:
To find the slope, we are going to use the slope equation as follows
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,5)
(x2,y2) = (4,-5)
m = (-5-5)/(4-4)
This gives an undefined answer and thus we cannot hate the slope value
Looking at the x-axis coordinates, we can see that the difference is just the y axis coordinates and as such we can confirm that the line is vertical
find the measure of arc AC
Answers
Answer:
Step-by-step explanation:
Angle ABC is an inscribed angle intercepting arc AC. The rule is that the intercepted arc is twice the measure of the angle that intercepts it, so arc AC = 2(65) which is 130
pleaseeee helpp mee!!!!!
Answers
CAN SOMEONE GIVE A ANSWER ON THIS THE REAL ANSWER PLEASE THANK YOUUU ILL ADD DOUBLE THE POINTS
Answers
Answer:
138 degrees
Step-by-step explanation:
A straight line/angle is 180 degrees so subtract 42 degrees from that to get 138 degrees.
I explained as best and simple as I could, I hope I helped!!!
It is a supplementary angle which has a total of 180 degrees so if you take the given angle (42) and do 180-42 you get 138
Please help me with this
Answers
Answer:
6y
Step-by-step explanation:
The two figure are squares with the same area
side = √area = √y^2 = y (with y>0 because a length can‘t be negative)
perimeter = side * 6 = y * 6 = 6y
Leo designs the skateboard ramp shown in the diagram. Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.
Answers
Answer:
h = 50 inches
Step-by-step explanation:
To find the value of h, we are to use the appropriate trigonometric ratio
The given angle faces the unknown length and that makes the unknown length the opposite side
The given side faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects the opposite and the hypotenuse is the sine
The sine of an angle is the ratio of the opposite side to the hypotenuse
Thus, we have it that;
sin 23 = h/129
h = 129 * sin 23
h = 50 inches
Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?
Answers
URGENT
Choose the true statement below for the following equation: y = 10x + 2
The equation doesn't represent a function.
The equation does represent a function, but it is not one-to-one.
The equation represents a one-to-one function.
Answers
Answer:
the last statement is true
Step-by-step explanation:
the equation is in the form mx+c which means it is a stright line and will only cross the x axis once
Answer:
The equation represents a one-to-one function.
Step-by-step explanation:
y = 10x + 2
is a line with a slope of 10
it is a function since each x value has one and only one y value
This passes the vertical line test
It is one-to-one
since each y value has one and only one x value
This passes the horizontal line test
PLEASE HELP I REALLY NEED THIS ANSWERED, I NEED THE VOLUME OF BOTH CYLINDERS PLZ DONT USE AN ONLINE CALCULATOR THEY GIVE THE WRONG ANSWER
Answers
Answer:
[tex]\large\fbox{\green{\underline{Cylinder P :- \blue{ 794.0275 in ³}}}}[/tex]
[tex]\large\fbox{\green{\underline{Cylinder Q :- \blue{1,307.81 in³}}}}[/tex]
Step-by-step explanation:
Volume of cylinder = π × ( radius ) ² × h
1.) Here, radius = 4.25 in and height = 14 in.
Volume of cylinder = π × ( radius ) ² × height
substitute the values
Volume of cylinder P = 3.14 × ( 4.25 in ) ²×14 in.
now, simplify
= 3.14 × 18.0625 in²× 14 in.
= 3.14 × 252.875 in³
multiplying the value
= 794.0275 in³
[tex] \small \: \: \sf \: \fbox{ cirumference \: of \: cylinder \: P \: = {794.0275 in³}}[/tex]
2.) Here, radius = 7 in. and height = 8.5 in.
Volume of cylinder Q = π × ( radius ) ² × height
substitute the values
Volume of cylinder Q = 3.14 × ( 7 in )² × 8.5 in.
Simplify
= 3.14 × 49 in² × 8.5 in.
multiply the values
= 3.14 × 416.5 in³
[tex] \small \sf \fbox{Volume of cylinder Q = 1,307.81 in ³}[/tex]
Can someone help me out
Answers
Answer:
4 (100-250 words with a 100-word minimum)
pls help me on this i don't know what to do
Answers
Answer:
A.
Step-by-step explanation:
Factor out x^2-3x-40. Know that the zeroes of a function multiply to be equal to the constant (-40) and add up to the coefficient of the x term (-3). The two numbers that do that are -5 and 8. Recall that to be zeroes, at least one of the x-values must make the equation equal 0. So if x=-5, (x+5) is the term that would be 0.
You could also multiply the factored forms that are given to find the correct one.
find distance between (0,6) and (8,0)
with process.......
Answers
Answer:
answer to the question is 10 units..
Answer:
10 units
Step-by-step explanation:
(0 , 6) = (x1 , y1)
(8 , 0) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(8 - 0)^2 + (0 - 6)^2}[/tex]
=[tex]\sqrt{8^2 + (-6)^2}[/tex]
=[tex]\sqrt{64 + 36}[/tex]
=[tex]\sqrt{100}[/tex]
=10 units
I need help with this question please
Answers
Answer:
angel BAC=CBD
BAC=43°because CBD also 43°
Solve logx − 1 16 = 4
Answers
Answer:
logx=120
Step-by-step explanation:
a rectangle has an area of 36mm^2. all sides are the same length. what is the length of a single side.
Answers
The length of side of the rectangle is 6 mm
Since the rectangle has an area of A = 36 mm² and the rectangle has all its sides the same length, then, it is a square. We know that the area of a square A = L² where L = length of sides of square.
Length of side of rectangle
Since we require the length of sides of the rectangle, we make L subject of the formula.
So, L = √A
Now, since the area of the rectangle, A = 36 mm², substituting the value of the variable into the equation, we have
L = √A
L = √(36 mm²)
L = 6 mm
The length of side of the rectangle is 6 mm
Learn moe about rectangles here:
https://brainly.com/question/17297081
f^3+11g-4hf 3 +11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.
Answers
Given:
The expression is:
[tex]f^3+11g-4h[/tex]
The given values are [tex]f=3,\ g=2,\ h=7[/tex].
To find:
The value of the given expression for the given values.
Solution:
We have,
[tex]f^3+11g-4h[/tex]
After substituting [tex]f=3,\ g=2,\ h=7[/tex], we get
[tex]f^3+11g-4h=(3)^3+11(2)-4(7)[/tex]
[tex]f^3+11g-4h=27+22-28[/tex]
[tex]f^3+11g-4h=49-28[/tex]
[tex]f^3+11g-4h=21[/tex]
Therefore, the value of the given expression is 21.
Consider the equation y = -2x + b. Find the value of b if the line passes through (-5, 4).
Select one:
a. b = -3
b. b = 4
c. b = 2
d. b = -6
Answers
Answer:
b = -6 (Answer d)
Step-by-step explanation:
The slope-intercept equation is y = -2x + b, and we know that the line passes through (-5, 4). Substitute -5 for x and 4 for y, to obtain:
4 = -2(-5) + b, or
4 = 10 + b, or
b = -6 (Answer d)
Carlos drove 8x + 13 miles in two
days. If he drove 3x + 5 miles on the
first day, how many miles did he drive
on the second day?
Answers
Answer:
5x+8
Step-by-step explanation:
Answer:5x+8
Step-by-step explanation:
8x+13
-3x
5x+13
-5
5x+8
In circle P, BC = 24 ft. What is the length of arc AC?
A)π
B)2π
C)4π
D)8 π
Answers
Answer:
b
Step-by-step explanation:
Encuentra el volumen de un prisma rectangular que mide 14m de largo y 10 m de ancho 34m de altura.
Answers
14x10x34
140x34=4760
which of the following systems of linear inequalities is represented by the solution graphed below?
Answers
Can someone explain how this is wrong? i just dont get it.
Answers
Reason: Abby started at 4y (which is the offset) So you do is 22-4 and it gives 18. So abby climbed 18 feet
If I roll 3 Dice .. What is the probability that I roll, a Even Number, and Odd Number, and a number bigger than 3. (P even, odd and >3)
Answers
Find the angle for this problem?
Answers
m(MLK)=130
m(MLK)=m(ZLK)+m(MLZ)
-> x+86+x+66=130
2x+152=130
2x = -22
x = -11
m(ZLK)=86-11=75
What is the slope of the line
Answers
Answer:
m = -1
Step-by-step explanation:
One can tell directly from the graph that the slope is negative.
Moving from (-2, 0) to (0, -2), we see x increasing by 2 units (this is the run) and y decreasing by 2 units (this is the 'rise'). The slope is m = -2/2, or m = -1.
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
77 - 2n
Step-by-step explanation:
77 is being subtracted by a number doubled. Therefore, 77 - 2n is the expression.
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/4635862-77-decreased-by-twice-of-a-number.html
The three straight paths, AB,BC,AC, meet each other at three points, A,B, and C. How do these points of intersection differ from each other?
Answers
Answer:
See Explanation
Step-by-step explanation:
The Three Straight paths intersect at different angles or we can say that, the amount required to turn one path onto the other path is different for each vertex. Thus, the largest angle is opposite to the longest side and the smallest angle is opposite to the shortest side.And if all the three points of intersection look the same, the result is a triangle with three equal angles and three equal sides.A booth at the mall sells Insulated
mugs and tumblers. The booth
made $880 by selling 8 mugs and
17 tumblers yesterday. If the price
of a tumbler is $15 more than the
price of a mug, what is the price of
each item?
Answers
Answer:
25 (price of 1 mug)
40 ( price of 1 tumbler)
Step-by-step explanation:
15 x 17 = 255
880 - 255 = 625
625 ÷ (17+8) = 25 (price of 1 mug)
25+15 = 40 ( price of 1 tumbler)