what is the vertex of the graph of y=2(x-2)2+4
Answer:
The vertex is at (2,4)
Step-by-step explanation:
The parabola is given in the form
y = a(x-h)^2 +k
where (h,k) is the vertex
y=2(x-2)^2+4
The vertex is at (2,4)
Answer: (2,4)
Step-by-step explanation:
I promise you
-5(-4x-2)=-2(5-5x) this is an equation for 8th grade math
Step-by-step explanation:
20x + 10 = 10 - 10x
Now bringing like terms on one side
20x + 10x = 10 - 10
30x = 0
x = - 30
Answer:
Step-by-step explanation:
-5(-4x-2)=-2(5-5x)
20x+10=-10+10x
20x-10x=-10-10
10x=-20
x=-2
can someone please explain i’m confused
I think the answer is 3,053.628.
Answer:
3050
Step-by-step explanation:
V=4 /3xπxr/\3=4
3·π·93≈3053.62806
I need the top two questions anwsered please
Answer:
x = 6
x = 16
y = 11
Step-by-step explanation:
Honestly you're not going to read this part but eh.
13x - 5 = 7x + 31 (because bisect means these two angles are congruent)
6x = 36 (combined like terms)
x = 6 (divided by 6)
Didn't read this either but eh again.
5x - 4 + 7x - 8 = 180 (because supplementary angles)
12x - 12 = 180
12x = 192
x = 16
Plug in to find y:
9y + 5 = 7(16) - 8
9y + 5 = 104
9y = 99
y = 11
When do you use the 1+ and 1-? in Exponential Functions
A.When there is a percent
B. All of the time
C. Never
Answer:
B. All of the time
Problem PageQuestion
Suppose that the heights of adult women in the United States are normally distributed with a mean of 65 inches and a standard deviation of 2.4 inches. Jennifer is taller than 70% of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Final answer:
Jennifer is 66.3 inches tall; this is calculated by finding the z-score for the 70th percentile and using it with the mean and standard deviation of the population.
Explanation:
To determine how tall Jennifer is, given that she is taller than 70% of the population of U.S. women, we need to find the corresponding z-score that reflects the 70th percentile of a normal distribution, and then use it to calculate her height.
Firstly, using a standard normal distribution table or a calculator, we find the z-score that corresponds to the 70th percentile. Generally, this z-score is around 0.5244 (this can vary slightly depending on the table or technology used to find it). Now we apply the formula for converting a z-score to the actual score using the population mean and standard deviation:
Height = mean + (z-score × standard deviation)
Plugging in the values for the population mean and standard deviation:
Height = 65 + (0.5244 × 2.4)
Height = 65 + 1.2586
Height = 66.2586 inches
After rounding, we conclude that Jennifer is 66.3 inches tall.
In the given case, Jennifer's height is approximately 66.3 inches.
To find Jennifer's height, we need to find the z-score corresponding to the 70th percentile (as she is taller than 70% of the population) and then use that z-score to find her height.
The z-score formula is:
[tex]\[ z = \frac{x - \mu}{\sigma} \][/tex]
First, we find the z-score corresponding to the 70th percentile using a standard normal distribution table or calculator.
A z-score of approximately \(0.5244\) corresponds to the 70th percentile.
Now, we can use the z-score formula to find Jennifer's height x
[tex]\[ 0.5244 = \frac{x - 65}{2.4} \][/tex]
[tex]\[ x \approx 66.2586 \][/tex]
Rounded to one decimal place, Jennifer's height is approximately 66.3 inches.
Find the solution to the following system using substitution or
elimination:
y = 2x – 1
y = 5x – 7
Answer:
x = 2
y = 3
Step-by-step explanation:
y = 2x – 1
y - 2x = -1
y = 5x – 7
y - 5x = -7
y - 2x = -1
y - 5x = -7
_________--
3x = 6
x = 6/3
x = 2
y = 2x – 1
y = 2(2) - 1
y = 4 - 1
y = 3
[tex]x=2\\y=3[/tex]
Substitution method:The substitution method is one approach to take into consideration. When one equation with one variable is solved, this expression is then used in the other equation. The substitution method entails solving for a single variable before inserting the solution into the other equation.Elimination method:To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are inequality.Solution - (Through substitution method)Given -
[tex]y=2x-1\\y=5x-7[/tex]
So, substitute [tex]y=2x-1[/tex] in [tex]y=5x-7[/tex].
[tex]y=5x-7\\2x-1=5x-7\\5x-2x-7+1=0\\3x-6=0\\3x=6\\x=\frac{6}{3} \\x=2[/tex]
Now, substitute [tex]x=2[/tex] in [tex]y=2x-1[/tex].
[tex]y=2x-1\\y=2(2)-1\\y=4-1\\y=3[/tex]
Therefore, [tex]x=2[/tex] and [tex]y=3[/tex].
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the circle at eh top of a cylinder has a radius of 3.3 inches. the cylinder is 21 inches long. what is the volume of the cylinder?
Answer:
V =718.0866 in^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h
The radius is 3.3 and the height is 21
V = pi (3.3)^2 * 21
V = pi (10.89) (21)
V =pi 228.69
We can approximate pi by 3.14
V = 3.14(228.69)
V =718.0866 in^3
which algebraic representation shows the effect that a reflection over the x-axis will have on the coordinates of a figure?
A. ( x,-y )
B. (-x, y )
C. (-x, -y)
D. (-y, x )
Answer:
A, (x, -y)
Step-by-step explanation:
When something is flipped over the x axis, the y-coordinates become the opposite of what they were. It makes sense if you think about it- if it flips over the line on the x axis, the x-coordinates will stay the same, and the y coordinates will change.
Which of the following functions would result in a graph that is shifted three
units to the left of g(x) = 4 logx?
A. f(x) = 4 log(x-3)
B. f(x) = 4 log(x+3)
C. f(x) = 4 log(x) +3
D. f(x) = 4 log(x) - 3
Answer:
B. f(x) = 4 log(x+3)
Step-by-step explanation:
B. f(x) = 4 log(x+3) : shifted three units to the left of g(x) = 4 logx
The functions would result in a graph that is shifted three units to the left of g(x) = 4 log x is F(x) = = 4log(x+3).
The correct option is B.
What is Translation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have,
G(x) = 4 log x
As, If we want to shift a function to the left, we add a constant.
and, If we want to shift a function to the right, we subtract a constant.
Her, we have to shift left by 3 unit then we have to add.
Then, the translated function F(x) = 4log(x+3)
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Which is larger, 3.2 x 10⁴ or 3.2 x 10⁵?
A. 3.2 x 104
B. 3.2 x 105
Answer:
3.2 x 10^5
Step-by-step explanation:
Scientific Notation
3.2 x 10^4 = 32000
3.2 x 10^5 = 320000
Final answer:
The number 3.2 x 10⁵ is larger than 3.2 x 10⁴ because it represents 320,000, compared to 32,000 which is represented by 3.2 x 10⁴. The exponent indicates the number of zeroes to follow the digit.
Explanation:
To determine which number is larger between 3.2 x 10⁴ and 3.2 x 10⁵, we need to understand the notation being used. In scientific notation, the number 10 raised to an exponent indicates how many places to move the decimal point. The larger the exponent, the larger the value.
For 3.2 x 10⁴, it means we have a 3.2 followed by 4 zeros, which is equal to 32,000. In contrast, 3.2 x 10⁵ means we have a 3.2 followed by 5 zeros, which is equal to 320,000. Clearly, 320,000 is larger than 32,000.
Thus, 3.2 x 10⁵ is larger than 3.2 x 10⁴.
Can someone help? Identify the system of linear equations from the tables of values given below.
Answer:
C
Step-by-step explanation:
The equation y = x + 2 does not match these data points either. So, option D is not the correct answer.
Let's analyze each option:
A. y = -2x - 2
This equation represents a linear relationship with a slope of -2 and a y-intercept of -2. It does not seem to match the given data points.
B. -2
This is not an equation, so it cannot be a solution.
C. y = 8 + 2x, y = x + 1
The first equation, y = 8 + 2x, represents a linear relationship with a slope of 2 and a y-intercept of 8.
The second equation, y = x + 1, also represents a linear relationship with a slope of 1 and a y-intercept of 1.
Now, let's check if these equations match the given data points:
Data points: (X, Y) = (0, 0), (0, -4), (0, -2), (0, -4), (0, 0), (0, -1), (0, 2), (0, 6), (0, -6), (0, -1), (0, 2)
None of the equations in option C match these data points. So, option C is not the correct answer.
. y = x + 2
This equation represents a linear relationship with a slope of 1 and a y-intercept of 2.
Now, let's check if this equation matches the given data points:
Data points: (X, Y) = (0, 0), (0, -4), (0, -2), (0, -4), (0, 0), (0, -1), (0, 2), (0, 6), (0, -6), (0, -1), (0, 2)
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Multiplying special case polynomials: 48 squared
Answer:2304
Step-by-step explanation:
All you have to do is 48x48, hope this helped you!
An internet service provider changes an initial fee of $65 and $18 per hour of labor for office internet installation. Which equation represents the total cost, C, of the installation after h hours of labor?
a C = 18 + 65h
b C = 65 - 18h
c C = 18h - 65
d C = 65 + 18h
Answer:
D
Step-by-step explanation:
65 is your "b" value in this linear equation
18 is your slope
The Australian Cockroach measures 3.582 centimeters compared to the American Cockroach that measures 3.576 centimeters. Compare these numbers using >, <, or =
3.582_________3.57
How is a debit card similar to an ATM card?
a. Each is only available to adults 18 and older.
b. Any one person can only have one of each at a time.
C. Both can be used to withdraw money from ATMs.
d. Both can be used to make purchases online,
Please select the best answer from the choices provided
ОООО
C. Both can be used to withdraw money from ATMs.
A debit card and an ATM card share certain similarities, but they also have distinct differences. Let's focus on the similarities both can be used to withdraw money from ATMs (option c).
The primary similarity between a debit card and an ATM card is that they can both be utilized to withdraw cash from Automated Teller Machines (ATMs). When using either card at an ATM, the cardholder can access their bank account and withdraw funds, check balances, and perform other account-related transactions.
However, it is crucial to note the differences between these two types of cards. A debit card is linked to a checking or savings account and allows the user to make purchases in stores, online, or through other payment methods. It deducts the amount spent directly from the linked bank account. On the other hand, an ATM card is typically used only for ATM transactions and lacks the functionality to make purchases like a debit card.
In summary, both a debit card and an ATM card can be used to withdraw money from ATMs, but a debit card offers additional features and can be used for various transactions, including online and in-store purchases.
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Which of the following expressions are equivalent to
-(8/3)
Choose all answers that apply: A) 8/-3 B) - 8/-3 C)
None of the above
Answer:
A
Step-by-step explanation:
To determine which expressions are equivalent to -(8 divided by 3), let's perform the calculation first. Therefore the correct option is A
The division of 8 by 3 can be written as 8/3, which equals to 2.6666 (rounded to four decimal places). When we apply the negative sign to this result, we get -(2.6666) or -2.6666. Now, let's consider the given answer choices: A) 8 divided by -3: This expression corresponds to 8/(-3), which equals to -2.6666. Since this matches the calculated value of -2.6666, option A is equivalent.
B) -8 divided by -3: This expression translates to [tex](-8)/(-3),[/tex] which simplifies to 2.6666. As this value does not match the calculated result of -2.6666, option B is not equivalent. Therefore, by comparing the results, we can conclude that option A (8 / -3) is equivalent to -(8 / 3), while option B (-8 / -3) is not. To summarize, the expression -(8 /3) can be represented as 8 by -3 (option A). Option B (-8 / -3) is not equivalent.
Thus, the correct answer is A) 8 /-3.
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Analyze the table below and answer the question that follows.
Entrée Side
Dessert
Steak Tempura
Tiramisu
Lobster Spinach an gratin Crème brûlée
Salmon Fresh aspa agus Strudel
King crab Tater wedges Fudgesicle
Com dog
Rusty is trying to decide what to eat at La Grande Apple. In how many ways can Rusty order one entrée, one side, and one
dessert?
A
B.
C
D.
1
13
80
125
Answer:
C.80
Step-by-step explanation:
If you multiply all of the options 5x4x4 you will get 80
find the quotient of 3/18 divided by 7/21
Answer:
.498
Step-by-step explanation:
divide 3/18 and you get .166
Then divide 7/21 and you get .333
Then you must divide those two together, and you get .498
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a
width of 2 inches, and a height of 2 1/2
inches. What is the surface area?
The surface area of the box is_____ square inches.
plzzz
Answer:
18
Step-by-step explanation:
Answer:
The answer is 91
Step-by-step explanation:
Evaluate the expression when c=3 and x=-5.
c-7x
Steps to solve:
c - 7x; c = 3, x = -5
~Substitute
3 - 7(-5)
~Multiply
3 - (-35)
~Simplify
3 + 35
~Add
38
Best of Luck!
Look at the attached picture⤴
Hope it will help u....
Here are the monthly charges for Jo's mobile phone.
Monthly charge £16
150 free minutes, then 13p per minute
150 free texts, then 15p per text
During one month, Jo makes 170 minutes of calls and sends 182 texts.
Work out the total charge for the month.
In details pls.
Answer:
£23.40 total for month.
Step-by-step explanation:
£16 for the monthly fee
170 mins - 150 = 20 extra mins = 20 × 13 = 260p or £2.60 for extra mins
182 mins - 150 = 32 extra mins = 32 × 15 = 480p or £4.80 for extra texts
16 + 2.60 + 4.80 = £23.40 total for month.
O A. 392 units3
O B. 3927 units 3
O C. 11767 units3
O D. 1176 units 3
Answer:
h= 24 units
r= 7 units
[tex]volume = \frac{\pi {r}^{2}h }{3 } = \frac{\pi {(7)}^{2} \times 24 }{3} [/tex]
[tex] = \pi49 \times 8 \: \: {units}^{3} [/tex]
[tex] = 392\pi {units}^{3} [/tex]
option B
The Volume of Cone is 392π unit³.
The correct option is (B).
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
We have,
l = 25
Radius = 7 unit
Height = 24 unit
So, the Volume of cone
= 1/3 πr²h
= 1/3 π(7)²(24)
= π(49)(8)
= 392π unit³
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Jim has 4 New York quarters, 3 Pennsylvania quarters, and 3 Virginia quarters in his pocket. What is the probability that he will get a Pennsylvania quarter followed by a Virginia quarter when he pulls two quarters out of his pocket?
1/10 or 10%.
First, you add up all the quarters to get the total amount of possibilities for the first quarter that gets pulled out.
4 NY + 3 PA + 3 VI = 10 total quarters.
So the total number of quarters becomes the denominator for the first probability, and the total number of PA quarters becomes the numerator.
So the probability of Jim pulling out a PA quarter first is 3/10.
Now you have to find the probability of drawing a VI quarter as the second quarter. Since it's known that Jim would have already pulled 1 quarter out, that means the total number of quarters he could draw is now 9, so 9 would be the denominator of the second probability. Since there should be 3 VI quarters left still in his pocket, the numerator for the second probability is 3.
So the probability of Jim pulling out a VI quarter second is 3/9.
Now to get the final probability of Jim pulling out both a PA quarter and a VI quarter in the correct order, all you have to do is multiply the two probabilities together and then you should get the probability of the correct quarters being pulled out inn the correct order.
The first probability, 3/10, times the second probability, 3/9 equals the total probability of 9/90, and it simplifies to 1/10 or 10%
s=4lw+2wh; s=200, l=9, w=5
Answer:
2
Step-by-step explanation:
200=4(5)(9)+2(5)h
Simplify:
200=20(9)+10h
200=180+10h
Subtract 180 on both sides:
20=10h
Divide by 10:
h=2
Jay is making a documentary on the opinions of Cortland residents toward a
local sports team. If he talks to 8 people, and each interview lasts 3 minutes,
how long will the film be?
Answer:
24 minutes.
Step-by-step explanation:
8 people x 3 minutes of interview = 24 minutes of interview time.
Answer:
f=8*3.
Step-by-step explanation:
What number is 40% of 25? ___ is 40% of 25.
Answer:
10
Step-by-step explanation:
Common sense. (also I used Google)
Answer:
De Answer is ♥ 10 ♥
( If Wrong Den Me Sowwy )
Part A: If a circle has a diameter of 18 inches, what is the radius? Identify which multiple choice option is the correct answer:
a. 38 inches
b. 27 inches
c. 9 inches
d. 4.5 inches
Part B: Name two real-life examples of a circle.
Part C: State the process of drawing a circle with a radius of 6 inches using a compass on a piece of paper? Write a detailed explanation.
Answer:
c. 9 inches
Plates and clocks are examples of circles.
Set the compass so that it is 6 inches wide. Place the needle on the paper and twist the top of the compass so that the circle is evenly drawn.
What is the maximum height the cricket reaches? Round to the nearest thousandth.
Answer:
3.063
Step-by-step explanation:
Answer: 3.063
Step-by-step explanation:
A scientist studies a pod of humpback whales to determine the
migration of humpback whales. What is the sample?
A. all humpback whales
B. dolphins
C. a pod of him back whales
D. all whales
Answer:
C. A pod of humpback whales
The scientists is trying to draw a conclusion about all humpback whales by looking at the behaviors of a pod of humpback whales.