Answer:
For a quadratic equation, a graph that has one solution will only intersect the x-axis ONE time. This is seen when the vertex of the parabola rests on the x axis.
what is the volume of a cylinder with a height of 6 cm and a radius of 3 cm
Answer: 169.65 cm
Step-by-step explanation: I just put this into a calculator, hope this helps!
Answer:
169.64600329385
Step-by-step explanation:
Simplify x^2+ 5x + 4 over
x+4
Answer:
x+1
Step-by-step explanation:
probability: There are 11 shirts
in your closet, 6 blue and 5
green. You randomly select
one to wear on Monday and
then a different one on
Tuesday. You wear blue shirts
both days.
Answer:
There was a 54.5% probability of you getting a blue shirt on Monda and a 50% chance on Tuesday.
Find the equation of the line that has a slope of 11 and passes through the point (-5,8). Help me please please do it right
Answer:
y=11x-47
Step-by-step explanation:
How did you use similarity to find the areas and circumferences of circles? How are the radius and diameter of a circle related?
To find areas and circumferences of circles using similarity, we scale proportions from known circles to unknown circles. The diameter is twice the radius (d = 2r), allowing us to use formulas C = 2πr for circumference and A = πr^2 for area.
To determine the area and circumference of circles using similarity, we can scale up or down from a known circle to an unknown one. The relationships between circles of different sizes but with proportional radii allow us to use the similarity concept. For example, if a small circle has a radius that is half the radius of a larger circle, the area and circumference will also be in proportion to the squares and the linear dimensions, respectively.
The radius (r) and diameter (d) of a circle are directly related by the equation d = 2r. This means that diameter is twice the radius. Given the radius, we can determine the circumference of a circle (C = 2πr) and its area (A = πr2) easily. The role of π (approximately 3.14159) is critical as it provides the constant of proportionality in these equations.
The stock of Company A gained 5% today to $34.65. What was the opening price of the stock in the beginning of the day?
To find the opening price of the stock, we can subtract the 5% gain from the current price. The opening price of the stock in the beginning of the day was approximately $36.47.
Explanation:To find the opening price of the stock, we need to deduct the 5% gain from the current price of $34.65.
Let x be the opening price.
Since the stock gained 5%, the opening price minus 5% of the opening price equals the current price: x - 0.05x = 34.65.
Simplifying the equation, we get 0.95x = 34.65. To solve for x, divide both sides of the equation by 0.95.
The opening price of the stock in the beginning of the day was approximately $36.47.
Solve for x. 5 = − 3 9 x
Answer:
x = -5/27
Step-by-step explanation:
5 = − 3 · 9x; x = -5/27
You flip a fair coin.
What is \text{P(tails})P(tails)start text, P, left parenthesis, t, a, i, l, s, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
Question:
You flip a fair coin. What is P(tails)?
If necessary, round your answer to 2 decimal places.
Answer:
P(tail) = 0.5
Step-by-step explanation:
Given:
A fair die
Required
P(Tails)
A fair die has 2 sides, the head and the tail; each of the sides have equal probability.
The number of head in a die is 1 and the number of a tail in a die is 2.
Let P(tail) represent the probability of obtaining a tail.
P(tail) is calculated by number of tail divided by number of sides of a die.
Hence, P(tail) = ½
P(tail) = 0.50
"The probability of getting tails when flipping a fair coin is [tex]\(\frac{1}{2}\)[/tex] or 0.5.
A fair coin has two equally likely outcomes: heads or tails. Since a fair coin has no bias towards either side, the probability of landing on tails is the same as the probability of landing on heads.
The probability of an event E, denoted as P(E), is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the event E is getting tails. There is one favorable outcome for getting tails, and there are two possible outcomes in total (heads or tails).
Therefore, the probability of getting tails, P(tails), is given by:
[tex]\[ P(\text{tails}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{2} \][/tex]
This fraction simplifies to 0.5, which is the correct probability of getting tails when flipping a fair coin. There is no need to round to 222 decimal places as the probability is exact.
Please answer this question
Answer:
2 : 3
Step-by-step explanation:
There are 24 red and 24 black cards in the pack since ratio is 1 : 1
8 red cards are removed leaving 16 red cards, thus
ratio of red : black = 16 : 24 = 2 : 3 ← in simplest form
There are 12 sixth graders, 14 seventh graders,
and 7 eighth graders in a gym class. The gym
teacher randomly selects one student to collect
balls. In how many ways can choosing not a
seventh grader occur?
The requried there are 19 ways to choose a student who is not a seventh grader.
What is arithmetic?Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.
There are a total of 12 + 14 + 7 = 33 students in the gym class.
The number of ways to choose a student who is not a seventh grader is equal to the number of ways to choose a sixth grader or an eighth grader.
The number of ways to choose a sixth grader is 12, and the number of ways to choose an eighth grader is 7.
So the total number of ways to choose not a seventh grader is:
12 + 7 = 19
Therefore, there are 19 ways to choose a student who is not a seventh grader.
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Final answer:
The requried there are 19 ways to choose a student who is not a seventh grader.
Explanation:
In this scenario, we need to find the ways of choosing not a seventh grader from the gym class.
To do this, we calculate the total number of ways to select a student from the gym class and then subtract the ways of selecting a seventh grader.
The total number of ways to select a student from the gym class is 12 (sixth graders) + 14 (seventh graders) + 7 (eighth graders) = 33.
The number of ways of selecting a seventh grader is 14 (since there are 14 seventh graders).
Therefore, the number of ways of not choosing a seventh grader is 33 - 14 = 19 ways.
So, there are 19 ways to choose not a seventh grader.
Consider the system of equations.
y=-2x + 4
3y + x=-3
Which statement is true of this system of equations?
Both equations are in slope-intercept form.
The first equation converted to slope-intercept form is y + 2x = 4.
The second equation converted to slope-intercept form is.y =
Neither equation is in slope-intercept form.
Answer:
the second equation converted to slope-intercept form is y = -1/3x -1
Step-by-step explanation:
You Are Planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to find the area of the garden to determine how much topsoil you will need. Substitute the values of b and h in the formula A = 1/2 • b • h for the area of the garden.
The area of the garden 16√3 ft².
Given: garden base = 8 ft
Find:
Garden surface area =?
First, we must determine the height of the triangle.
82 42 = Height
Height = 64 - 16
Height = 48 cm
43 inches in height
Calculating the garden's area
Garden area = half of bxh
Garden surface area = 1/2 8 43
Garden surface area = 16v/3 ft2
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Combine the like terms to create an equivalent expression:
- k + 3k
Answer:
2k
Step-by-step explanation:
- k + 3k
3k - k
2k
find the exact length of the third side
Answer:
[tex] \sqrt{74} [/tex]
Step-by-step explanation:
Use the Pythagorean theorem.
[tex] a^2 + b^2 = c^2 [/tex]
We are solving for the hypotenuse, c.
[tex] c^2 = a^2 + b^2 [/tex]
[tex] c^2 = 5^2 + 7^2 [/tex]
[tex] c^2 = 25 + 49 [/tex]
[tex] c^2 = 74 [/tex]
[tex] c = \sqrt{74} [/tex]
Answer: [tex] \sqrt{74} [/tex]
Marissa is an event organizer for a charity group. She is organizing a five-hour dinner event being held to raise funds for the charity. The
following list shows the costs for hosting the event.
• Facility Rental: $150 per hour of event
• Linens: $2 per attendee
• Food: $20 per attendee
• Table Decorations: 33 per attendee
. Musical Entertainment: $1,800 (flat fee)
• Cleaning Fee: $250 (Mat fee)
The total cost of the event, with n attendees, is represented by the given expression
25 + 2,800
FOR BRAINLIEST BRAINLIEST!! EASY MATH, Give EXPLANATION with it.
Answer:
Just about 5-6-7. In that range
Step-by-step explanation:
you have to count up all the fully shaded in squares. And then what u have to do is try and put together the half of squares and so on while counting them up. It is an esta=mation question- mostly.
Answer:
you make squares around it to find the area
Step-by-step explanation:
hope this helps
The following data show the scores Gina obtained on 12 IQ tests:
93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86
The box plot below represents the data:
box plot has minimum value equal to 74, lower quartile equal to 83, median equal to 86.5, upper quartile equal to 89 and maximum value equal to 94
Which of the following is shown incorrectly in the box plot? (5 points)
Median
Lower quartile
Upper quartile
Maximum value
The upper quartile is shown incorrectly in the box plot. So, the third option is correct.
It is given that,
Data values are: 93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86.Box plot has a minimum value equal to 74, lower quartile equal to 83, median equal to 86.5, upper quartile equal to 89, and a maximum value equal to 94.Explanation:
Arrange the data values in ascending order.
74, 74, 83, 83, 83, 86, 87, 90, 92, 93, 93, 94
Divide the data in 4 equal parts.
(74, 74, 83), (83, 83, 86), (87, 90, 92), (93, 93, 94)
Now,
Minimum value: 74
First quartile: [tex]\dfrac{83+83}{2}=83[/tex]
Median: [tex]\dfrac{86+87}{2}=86.5[/tex]
Third quartile: [tex]\dfrac{92+93}{2}=92.5[/tex]
Maximum value: 94
The value of the upper quartile in the box plot is 89 which is not equal to 92.5. Thus, the third option is correct.
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A school buys pens and pencils from a supplier. The supplier charges $0.05 for each pencil and $0.25 for each pen. The school pays $400 for the pens and pencils. If the school bought 1500 pencils, how many pens did the school buy?
Answer:
1460 pens
Step-by-step explanation:
The formula for the volume of a cone is V= 1/3pir^2h where V represents the volume, r represents the radius of the base, h represents the height. What is the height of a cone with a volume of 66 cubic centimeters and a base with a radius of 3 centimeters?
The height of the cone is approximately 7.01 centimeters.
We know the volume (V) is 66 cubic centimeters and the radius (r) is 3 centimeters. Substitute these values into the formula:
V = 1/3πr²h
66 = 1/3 × π × 3² × h
Simplify the equation:
Multiply both sides by 3:
200 = π × 9 × h
Cancel out the common factor of 9:
200/9 = π × h
Solve for the height (h):
Divide both sides by π:
h = 200/9π
Then, we have that;
h ≈ 7.01 cm
Therefore, the height of the cone is approximately 7.01 centimeters.
please help!!
58
72
55
65
70
81
66
Consider the speed in miles per hour that Officer Williams clocked the last seven drivers at with his radar. Find the interquartile range of the speeds.
Answer:
Answer: 14
Step-by-step explanation:
14
interquartile range = upper quartile - lower quartile
first, order the scores from least to greatest
55, 58, 65, 66, 70, 72, 81
thus, UQ = 72 and LQ = 58
IQR = UQ - LQ = 72 - 58 = 14
PLEASE HELP!!!
Adele is paid a weekly salary of $685. She is paid an additional $23.50 for every hour of overtime she works. This week her total pay, including regular salary and overtime was $849.50. how many hours of overtime did Adele work this week?
Answer:
7
Step-by-step explanation:
$849.50-$685=$164.50 which is less than 685 so it all had to be overtime hours then I did 164.50 ÷ $23.50 and got 7
(1, 13)
(-2,4)
O
A. y- 4 = 3(x+2)
B. y- 4 = 3 (x-2)
C. y-1 = 3(x - 13)
D. y- 2 = 3(x - 4)
D is the answer because the y =-2 so that's why that's the answer
Lindsay shot a model rocket over an area that consists of two grassy areas shown in green and an area without grass, shown in white. What is the probability that his rocket landed in the area WITHOUT grass?
A. 3/5
B. 4/5
C. 3/4
D.3/10
Answer: 3/5
Step-by-step explanation:
If 30 acres are without grass and 20 acres have grass then you set up a fraction with the area without grass on top and the total area on the bottom which would be 30/50 then simplify to get 3/5
Misha solves the equation 3 x minus 2 (x + 3) = 4 (x minus 2) minus 7 by applying the distributive property to each side of the equation. The result is 3 x minus 2 x minus 6 = 4 x minus 8 minus 7. Misha then wants to combine like terms. Which are the terms Misha should combine?
Answer:
2(x+3)=4
2x+6=4
2x=4-6
2x=-2
2x÷2
x=1
Answer:
The terms that Misha should combine are 3x – 2x and –8 – 7
Step-by-step explanation:
Misha have the equation : 3x-2(x+3) = 4(x-2)-7
After applying distributive property, a(b+c) = ab+ac
3x - 2x - 6 = 4x - 8- 7 ..............(1)
Now, we need to combine the like terms, like terms are the terms having the same coefficient and combining them means to combine their coefficients.
In equation (1), 3x and -2x are like terms as it have the same coefficient x
Hence we will solve them and get (3-2)x = x
Similarly, -8 and -7 can be solved and we get -7-8 = -15
Now, the equation becomes, x-6 = 4x-15
Then, again collecting the like terms on L.H.S and R.h.s and then solving, we get
4x - x = 15-6
3x = 9
x = 3
What is the value of x ? Special right triangle
5,8,11,7? If the mean of the data set is 8 points, find the missing number of points.
Answer:
9
Step-by-step explanation:
if you add 5,8,9,11,and 7 you get 40 then you need to divide it by 5 because their are 5 numbers so then 40 divided by 5 is 8 so the number is 9
Final answer:
To determine the missing number in the data set with a mean of 8, we set up the equation 8 = (5 + 8 + 11 + x) / 4. Solving for x, we find that the missing number is 8.
Explanation:
To find the missing number in the data set 5, 8, 11, ?, where the mean is 8 points, we can use the formula for the mean of a data set. The mean is the sum of all data points divided by the number of points. Since we know the mean and three of the four numbers, we can create an equation to solve for the missing number:
Mean = (Sum of all data points) / (Number of data points)
8 = (5 + 8 + 11 + x) / 4
Now, solve for x:
8 * 4 = 5 + 8 + 11 + x
32 = 24 + x
x = 32 - 24
x = 8
Therefore, the missing number is 8.
Find the measure of
sorry been trying to find something to say but i don't have a answer for it wish i could help
Answer:
28 degrees
Step-by-step explanation:
since DBE is 90 degrees, ABE is 90 degrees as well
given that BEF is 62 degrees
you need to subtract 90 from 62
to get 28 degrees as your answer
Does this graph represent a function? Why or why not?
10
8
8
+
-10-8-042
2
4
0
8
10
4
-8
-8
-10
O A. Yes, because it is a curved line.
O B. No, because it is not a straight line.
O C. No, because it fails the vertical line test.
O D. Yes, because it passes the vertical line test.
Answer:
Step-by-step explanation:
D.
No, basically because it fails the vertical line test. The correct option is C.
What is vertical line test?The vertical line test determines whether a relationship between two variables defines a function. If and only if vertical lines intersect the graph at least once, a relation is a function.
The graph fails the vertical line test because vertical lines intersect it at more than one point.
This means that some x-values correspond to multiple y-values, which violates the definition of a function.
In other words, for each x-value, there should be only one y-value, but this is not the case for all x-values. As a result, the graph does not depict a function.
Thus, the correct option is C.
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given f(x)=2x^2-3 and g(x) = x+4 What is (fg)(x)?
Answer: [tex]f(g(x))=2x^2+16x+29[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-3\\g(x)=x+4[/tex]
f of g of x means "function f, replace x by the value of g of x"
[tex]f(g(x))=2x^2-3\\f(g(x))=2(x+4)^2-3\\f(g(x))=2(x^2+8x+16)-3\\f(g(x))=2x^2+16x+32-3\\f(g(x))=2x^2+16x+29[/tex]
Answer:
2x^3+8x^2−3x−12
Step-by-step explanation:
Given f(x)=2x^2−3 and g(x)=x+4.
What is (fg)(x)?
2x^3+8x^2−3x−12
The value of the expression 2x + x(100 – 15x) when x = 5 is
119
129
135
145
Answer:
[tex]135[/tex]
Step-by-step explanation:
[tex]2(5) + 5(100 - 15(5))\\10 + 500-375\\135[/tex]
The value of the expression 2x + x(100 – 15x) when x = 5 is 135.
What is an expression?An expression is a number, a variable, or a combination of numbers and variables and operation symbols.
The given expression is,
2x + x(100 – 15x)
Now we have to find the value of expression when x = 5
Put the value of x in the given expression we get,
2(5) + 5(100 – 15*5)
solving the brackets we get,
10 + 5( 100 - 75)
10 + 5*25
10 + 125
135
hence, the value of the expression 2x + x(100 – 15x) when x = 5 is 135.
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