Answer and Step-by-step explanation: In math, a graph, function or equation can be alterated - by shifting, reflecting, stretching or compressing - without losing its original shape. For example, a quadratic function maintains its parabolic shape when shifted.
When an equation is transformed vertically, it means its y-axis is changed. When it is horizontally, its x-axis is modified.
For equation [tex]y=x^{3}[/tex]:
Vertical stretch by a factor of 3:This means the exponential equation will be multiplied by a constant, in this case 3. Then, the new equation is
[tex]y=3x^{3}[/tex]
Horizontal shift 4 units to the right:When an equation is shifted, it's added a constant to it. As it is horizontal, it means it is added to the x and because it is to the right, it is a plus symbol:
[tex]y=x^{3+4}[/tex]
Vertical shift 3 units down:Vertical shift means the equation is 3 units "below" the original equation, so:
[tex]y=x^{3}-3[/tex]
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 0.2 (to 2 decimal places)
Answer:
69.04
Step-by-step explanation:
Given that:
Mean (m) = 69.0
Standard deviation (s) = 2.8
Zscore = 0.2
Find the corresponding height (x) ;
Using the relation :
Zscore = (x - m) / s
0.2 = (x - 69.0) / 0.2
0.04 = x - 69.0
0.04 + 69.0 = x
69.04 = x
Hence, the height of a man with a Zscore of 0.2 is 69.04
How do I simplify 25.3(2.4)
Answer:
60.72
Step-by-step explanation:
you multiply 25.3 by 2.4
Stephanie spends $15 each month to belong to a photography club. As a member of the club she can develop rolls of film for $2.50 each. Write and solve an equation to find the total amount Stephanie will spend this month if she develops 5 rolls of film.
Answer:
2.5*5= 12.5
15-12.5=2.5
So in order to pay the 15 dollars in the photography club, she only has to pay 2.50
[3(15+4)^2+2(20+5)^2]^0
Answer:
B
Step-by-step explanation:
any non-zero expression raised to the power of 0 equals 1
Q14)
Points A, B and C lie on the circumference of a circle and DE is the
tangent to the circle at A. Angle DAB = 79º and angle EAC = 37º.
2
Find the sizes of angles x and y.
Not to scale
Give a reason for your answers.
B
7
[Total 3
790
1370
E
A
Answer:
x = 37
y = 79
Step-by-step explanation:
Remark
We are going to go through an extensive discussion of the value of x. The value for y is found exactly the same way.
Top diagram.
The top diagram establishes the fact that if any two points are on the major arc of the circle whose center is 0, then the vertex of the of the two angles so formed are equal. The end points of these two angles must be established by the endpoints of the chord A and B.
Put in much simpler language.
<ACB = <AC'B
The end points of the angles are A and B of the Chord AB.
The Vertex of the angles are both on the major arc of the circle. These two are C and C'
Bottom Diagram
The idea here is to find the value of C. If we do that, then we know what x is in the diagram you provided.
Draw diameter COA Construction
< CAB = 90 Any vertex (C) on circumference with diameter endpoints (A & C) = 90
<CAT_1 = 90 A diameter always meets a tangent at 90o
<BAT_1 = 37 Given
<CAB = 90-37 <CAB and <BAT_1 are complementary
<ACB = 37 A right triangle's acute angles are complementary.
<ACB = x = 37o See top diagram
Tim flips a weighted coin 6 times and gets 2 tails. What is the experimental probability that the next flip will come up tails?
Answer:
1/3
Step-by-step explanation:
bc 2/6 reduces to 1/3
natalie went skydiving, she jumped out of the plane at 3,080 feet above the ground. at 1,710 feet above the ground her parachute deployed, and instead of continuing to fall, she rose 35 feet. at this point, how far is she from the plane?
Answer: 1675 feet
Step-by-step explanation: Starting at 3080 feet she falls 1710. We subtract 1710 from 3080 and get her position at 1370 feet above the ground. She then rises 35 feet. 1370+35 = 1405 feet above the ground.
We know that the plane is 3080 feet above the ground, and that Natalie is only 1405 feet above the ground. We just have to find the difference in their positions in order to find out how far she actually is from the plane. 3080-1405 = 1675 feet
what is 0.246 divide by 6
Answer:
I believe answer is 0.041
Answer:
The answer is 0.041Step-by-step explanation:
I hope it helps ❤❤❤Why do we
call fractions
such as 8/6
improper.
Please help
Answer:
Because the numerator cannot be higher than the denominator
Step-by-step explanation:
8/6 would be counted as incorrect bc the numerator (8) cannot be higher than the denominator (6). so it would be written as 1 2/6
Arianna has $0.70 worth of nickels and dimes. She has 4 more dimes than nickels. By
following the steps below, determine the number of nickels, x, and the number of
dimes, y, that Arianna has.
Determine three ways to have 4 more dimes than nickels:
Who can solve this for me?
Answer:
x=2 and y=6
Step-by-step explanation:
thee isn't any other way im sorry but there isn't here is a list:
1 nickel = $0.05 and 5 dimes =$0.50 = $0.55
2 nickels = $0.10 and 6 dimes = $0.60 = $0.70
3 nickels = $0.15 and 7 dimes = $0.75 = $0.85
4 nickels = $0.20 and 8 dimes = $0.80 = $1.00
5 nickels equal $0.25 and 9 dimes equals $0.90 = $1.15
so as you can see the more you add the higher the number gets and if its any lower it won't be enough sorry if you really needed that last part
What is the surface area of the right cone below?
Answer:
B. 68pi
Step-by-step explanation:
to find the surface area of a right cone given radius and slant height:
let A = surface area
let r = radius
let l = slant height.
A=pi*r*l + pi* r^2
plug in the values
A=pi*52+pi*16= about 213.62
The surface area of the cone is 68π sq. units.
What is surface area?The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces. The surface area is the total of the areas of the faces.
Given that, the slant height and the radius of a cone is 13 units and 4 units respectively,
We need to find the surface area of the cone,
SA = π×r×l + π×r²
SA = π(4×13+16)
SA = 68π
Hence, the surface area of the cone is 68π sq. units.
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The radius of a circle is 10 centimeters. What is the length of a 45° arc?
Please Answer Fast i dont have time
Answer:
X✓X✓✓X
Step-by-step explanation:
Answer:
2/12
3/18
4/24
Step-by-step explanation:
Which of the following is equal to 7 1/4
Answer:
D. [tex]\sqrt[4]{7}[/tex]
Step-by-step explanation:
Answer:
d.
Step-by-step explanation:
Let g(x)=4x and h(x)=x^2-3. Find (g o h)(0)
Answer:
-12
Step-by-step explanation:
g(x) = 4x
h(x) = x^2 - 3
(g o h)(x) = g(h(x)) = g(x^2 - 3) = 4(x^2 - 3) = 4x^2 - 12
(g o h)(0) = 4(0)^2 - 12 = 0 - 12 = -12
PLEASE HELP!!!
Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x<44)?
O A. 0.16
O B. 0.84
O C. 0.975
O D. 0.025
To solve this problem, we can simply use the formula of normal distribution and substitute the values where required.
The value of P(x <= 44) is 0.025 which is option D
ProbabilityGiven the value of the mean, normal distribution and standard deviation, we can calculate where the value lies
Data;
Mean = 50S.D = 3X = 44But we know that
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Let's substitute the values of x, standard deviation and mean into the equation above
[tex]z = \frac{x-\mu}{\sigma} \\z = \frac{44-50}{3} =-2[/tex]
Solving this further;
[tex]P(z\leq -2) = \frac{1}{2} - \frac{1}{2}(0.9545)\\p(z\leq -2) = 0.025[/tex]
The value of P(x <= 44) is 0.025 which is option D
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Answer:
The answer is 0.16 other guy wrong
Step-by-step explanation:
0.750 + 0.375 + 0.625
Answer:
1.75
Step-by-step explanation:
Write an Inequality to represent a graph.
Answer:
nun of the 3 you gave use so the last one the 4th
Step-by-step explanation:
solve the equation: the booster club of the baseball team bought pizza to sell at a concession stand. the school donated three pies to the sale. each pie was then cut into 8 pieces and sold . there were a total of 64 pieces to sell. how many pies did the booster club purchase
Answer:
they bought 5 pies
Step-by-step explanation:
.................
Five pies were bought by the booster club of the baseball team.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Three pies were provided for sale by the school. After that, each pie was divided into 8 pieces and sold. 64 pieces in all were available for purchase.
Let "p" be the number of pies the booster club purchased.
The school donated 3 pies, so the booster club purchased a total of p + 3 pies.
Each pie was cut into 8 pieces, so there were a total of (p + 3) × 8 = 64 pieces to sell.
This equation can be simplified to p + 3 = 8, or p = 5.
Therefore, there was a booster club that purchased 5 pies.
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Simplify. Express the answers using positive exponents
Answer:
C
Step-by-step explanation:
The simplified expression of the given expression -5[tex]w^2y^{-2[/tex] / -15[tex]w^{-6}y^2[/tex] is [tex]w^{16[/tex].
The expression -5[tex]w^2y^{-2[/tex] / -15[tex]w^{-6}y^2[/tex] can be simplified as follows:
= -5 * [tex]w^{2 - (-6)[/tex] * [tex]y^{-2 - 2[/tex] / -15 * [tex]w^{-6 - 2[/tex] * [tex]y^{2 - (-2)[/tex]
= -5 * [tex]w^8[/tex] * [tex]y^{-4[/tex] / -15 * [tex]w^{-8[/tex] * [tex]y^4[/tex]
= (-5 / -15) * ([tex]w^8[/tex] / [tex]w^{-8[/tex]) * ([tex]y^{-4[/tex] / [tex]y^4[/tex])
= 1 * [tex]w^{16[/tex] * [tex]y^0[/tex]
= [tex]w^{16[/tex]
Therefore, the simplified expression is w^16.
Here is a breakdown of the steps involved in the simplification:
The powers of w and y are combined using the distributive property of exponents.
The negative exponents are changed to positive exponents by dividing by the same base raised to the power of the negative exponent.
The factors of 5 and 15 are simplified.
The common factors of w and y are simplified.
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550 is 5% of what number?
Which statements are correct? Check all that apply.
Answer:
11000
Step-by-step explanation:
if we substitute the equation with 11000 550 is 5% of 11000
Yo is this correct? A group of students go out to lunch. If four have burritos and two have tacos, the bill will be $19.00. If three have burritos and three have tacos the bill will be 17.25. Find the price of each burrito and taco
Answer:
The price of the burrito is $3.5 and the price of the taco is $2.5.
Step-by-step explanation:
2x+5y=19.5
5x+2y=22.5
------------------
5(2x+5y)=5(19.5)
-2(5x+2y)=-2(22.5)
-----------------------------
10x+25y=97.5
-10x-4y=-45
-----------------------
21y=52.5
y=52.5/21=2.5
2x+5(2.5)=19.5
2x+12.5=19.5
2x=19.5-12.5
2x=7
x=7/2=3.5
x=3.5, y=2.5
The price of the burrito is $3.5 and the price of the taco is $2.5.
what's six tenths divided by seven
Answer:
3/35
Step-by-step explanation:
48 is 32% of what number?
Answer:
150
Step-by-step explanation:
Because I looked it up
PLZ HELP WILL GIVE THANKS+BRANLIEST! the length of the box is 2 1/2m, it is 1 9/16 times its width. what is the height of the box if its volume is 12 3/4m3?
Answer:
3 3/16
Step-by-step explanation:
Length of the box L= 2 1/2m= 1 9/16 W
Width of box W = W
Height H=?
Volume V= 12 3/4m3
If L= 5/2 = 25/16 W
W= 16 × 5/2× 25
W= 80/50= 8/5 = 1 3/5
V= LWH
Hence height =
51/4 = 5/2 × 8/5 × H
H= 51/4 × 10/40 =51/16
H= 3 3/16
In the expression -3g + 12, how many terms are in the expression? *
1
2
3
4
Which expression has three terms? *
5x + kr
3ab
6 + x - 2y
4p + 2
Answer:
There are 1 terms.
5x+kr has 3 terms
Step-by-step explanation:
-3g has 1 term. 12 has none. so it is 1
5x has 1 term and kr has 2 terms and 2+1 is 3 terms.
Solve.
D = HS, for s
Answer:
The answer is S=D/H
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Allan bought a sweater
for $78 and a shirt for
$29. How much more did
the sweater cost than
the shirt
Answer:
$49
Step-by-step explanation:
78 - 29 = 49
To get 49, I subtracted 29 from 78.
need the answer thank you
Answer:
Part A: 24
Part B: 256
Step-by-step explanation:
Part A
Without Repetition means that once you use a number out of the given four, it can't be used again.
So the first number can be chosen 4 different ways.The second number can be used 3 different ways.The third number can be chosen 2 different waysAnd the last number has only 1 way to be chosen.Answer: 4*3*2* 1 = 24
Part B
Part B allows repetition. That means that the numbers can be used as many as 4 times.
Answer: 4*4*4*4 = 256
Find the 59th term of the following arithmetic sequence.
5, 13, 21, 29,
Answer:
469
Step-by-step explanation:
1. use the formula:
[tex]a_n=a_1+d*(n-1);[/tex]
where d - the step between two nearest terms, n - number of required term; a₁ - the first term of the given sequence.
2. according the formula above:
[tex]a_{59}=5+8*(59-1)=5+464=469.[/tex]