A. Up
Step-by-step explanation:Parabolas are graphs that make U-shapes and are formed from quadratic equations.
Vertical Parabolas
There are 2 different types of parabolas: vertical and horizontal.
Vertical parabolas have a vertical axis of symmetry. So, they open up or down.Horizontal parabolas have a horizontal axis of symmetry. So, they open left or right.If the x-value is squared, then the parabola is vertical. So, this graph must open up or down.
Positive A-Value
The a-value is the coefficient before the squared term. In a vertical parabola, the graph opens up if the a-value is positive. On the other hand, the graph opens down when the a-value is negative.
In this case, the graph is a vertical parabola that opens up. This means that the range will have a minimum value but no maximum.
find the value of the following
20.6% of 15000
6% of 200
66 2 over 3 of 72 litres
Answer:
1 - 3090
2 - 12
3 - 2.16
Step-by-step explanation:
hope you find this helpful...
Simplify the expression. 3^–9 • 3^6 • 3^6
Answer:
27
Step-by-step explanation:
(3^−9)(3^6)(3^6)
=1/19683(3^6)(3^6)
=1/19683(3^6)(3^6)
=(1/19683(729))(3^6)
=1/27(3^6)
=1/27(729)
=27
Answer:
27^3
Step-by-step explanation:
If you flip the graph of the absolute value parent function, f(x)=|x|, over the x-axis, what is the equation of the new function?
The equation of the new function is f'(x) = -|x|
How to determine the equation of the new function?The function is given as:
f(x) = |x|
The rule of flipping the graph over the x-axis
(x, y) = (x, -y)
So, we have:
f'(x) = -f(x)
Substitute f(x) = |x|
f'(x) = -|x|
Hence, the equation of the new function is f'(x) = -|x|
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Christian randomly selects students from his grade to rate a math test as easy, moderate, or difficult. Of the students he surveyed, 13 said the test was easy, 11 rated it as moderate, and 3 found it difficult. Assuming that all students took the same test, how many of the 162 total students in Christian’s grade would probably rate the test something other than easy?
Answer:
84
Step-by-step explanation:
Total students he surveyed: 27
Amount that found it something OTHER than easy: 14 (11 moderate + 3 difficult)
This means that [tex]\frac{14}{27}[/tex] found it something other than easy
Multiply that by 162 to find the proportion for the larger population:
162 * (14/27), and we get 84.
Sheree’s brother gave samuel his collection of stamps when she left for college. at that time, the value of the collection was $420. eight years later, the stamp collection was worth $980. what is the rate of change?
The rate of change of stamp collection was $57.5 per year.
Rate is comparison of two related quantities.
Often the second quantity is time (per second, per hour, etc) but it can be anything.
Can be in the style "this per that" or as a single number calculated using division.
Example: Sam makes 3 pancakes every 6 minutes, that is a rate of:
• 3 pancakes per 6 minutes
• 0.5 pancakes per minute
• 30 pancakes per hour
• an hourly rate of 30
By formula the rate of change = Change in cost/ Time taken
=( $980 - $420)/ 8years
= $460/ 8 years
= $57.5 per year
Thus the rate of change of stamp collection was $57.5 per year.
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in a recent survey,55% of cell phone owners said they text messages.what fraction of cell phone owners is this
Answer:
11/20
Step-by-step explanation:
55% = 55/100
by simplifying this fraction (divide top and bottom by 5), you get 11/20
4(2a+3b)+5(2a=4b) need help
Answer:
18a-8b
Step-by-step explanation:
i think this right but i think u messed up putting an equal sign instead of a subtraction.
One cupcake weighs 3 1/2 ounces how many cupcakes are there in 28 ounce package
Using division, the 8 cupcakes are there in 28 ounce package if one cupcake weighs 3 1/2.
According to the question,
One cupcake weighs 3 1/2 ounces. In order to find the number of cupcakes are there in 28 ounce package.
1 cupcake = 7/2 ounces
x cupcakes = 28 ounces
28 = 7/2 * x [cross multiplication]
x = (28*2)/7 [Using division]
x = 8
Hence, using division, the 8 cupcakes are there in 28 ounce package if one cupcake weighs 3 1/2.
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George is driving at an average speed of 707070 miles per hour. At this rate, how long, in minutes, will it take him to complete a 400400400-mile road trip
Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours
How long will it take the driver to complete a 400-mile road trip?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given the data in the question;
Speed = 70 miles per hourDistance traveled = 400 mileElapsed time = ?We substitute into our equation above.
Speed = Distance ÷ time
70 miles per hour = 400 mile ÷ Elapsed time
Elapsed time = 400 miles ÷ 70 miles per hour
Elapsed time = 5.7 hours
Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours.
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Find the common ratio for the geometric sequence defined by the formula: an=40(2‾√)n−1 a n = 40 ( 2 ) n − 1
The ratio of the geometric sequence 40[tex]2^{n-1}[/tex] is 2.
Given that geometric sequence is 40*[tex]2^{n-1}[/tex] and we have to find the common ratio of all the terms.
Geometric sequence is a sequence in which all the terms have a common ratio.
Nth termof a GP is a[tex]r^{n-1}[/tex] in which a is first term and r is common ratio.
Geometric sequence=40*[tex]2^{n-1}[/tex]
We have to first find the first term, second term and third term of a geometric progression.
First term=40*[tex]2^{1-1}[/tex]
=40*[tex]2^{0}[/tex]
=40*1
=40
Second term=40*[tex]2^{2-1}[/tex]
=40*[tex]2^{1}[/tex]
=40*2
=80
Third term=40*[tex]2^{3-1}[/tex]
=40*[tex]2^{2}[/tex]
=40*4
=160
Ratio of first two terms=80/40=2
Ratio of next two terms=160/80=2
Hence the common ratio of geometric sequence is 2.
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Identify the equation that describes the line in slope-intercept form. slope = 2 , point (- 1, 2) is on the line
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
Given a slope and a point on the line, you can use point slope form and then rearrage your terms into slope-intercept formSLOPE-INTERCEPT FORM: [tex]y=mx+b[/tex], where "m" is your slope and "b" is your y-interceptPOINT-SLOPE FORM: [tex](y-y_{1}) =m(x-x_{1})[/tex], where [tex]y_{1}[/tex] represents the y-coordinate of your point, [tex]x_{1}[/tex] represents the x-coordinate of your point, and [tex]m[/tex] represents the slope[tex](y-2)= 2(x-(-1))[/tex]
Point-slope form[tex](y-2)=2(x+1)[/tex]
[tex]y-2=2x+2[/tex]
[tex]y=2x+4[/tex]
Slope-intercept formIf x = false and y = false, is the statement: not x or not y
a) true
b) false
Answer:
false
Step-by-step explanation:
X is equal to Y
therefore,
X = Y
X= false
Y = false
so,
false = false
A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 ​respondents, 14​% chose chocolate​ pie, and the margin of error was given as +3 percentage points. What values do ​, ​, ​n, E, and p​ represent? If the confidence level is ​%, what is the value of ​?
The completion of the tabs are:
The value of [tex]\bar p[/tex] is the sample proportion.The value of [tex]\bar q[/tex] is found by evaluating [tex]1-\=p[/tex]The value of n is the sample size.The value of E is the margin of error.The value of p is the population proportion. α = 0.05.What is the margin of error.?You may calculate how many percentage points your findings will deviate from the actual population figure by using something called a margin of error.
In conclusion
The worth of p^ is the fraction of the sample.The worth of p^ is discovered by assessingThe sample size is given by the number n.The margin of error is expressed as E's value.The population percentage is represented by the value of p. α = 0.05.In conclusion,
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Find the volume of this square
based pyramid.
12 cm
10 cm
10 cm
V = [?] cm³
Answer:
[tex]400m^3[/tex]
Step-by-step explanation:
Use the formula [tex]V=\frac{1}{3}Ah[/tex]
Where h=the height of the pyramid (12cm)
A=the base area of the pyramid, also known as the area of the square (10cm*10cm=100cm)
So, inserting this into the equation:
[tex]V=\frac{1}{3} (100)(12)[/tex]
[tex]V=\frac{1}{3} (1200)[/tex]
[tex]V=400m^3[/tex]
Five guys walk into a bar, how many ways can they sit so as to be arranged from oldest to youngest?
There are 24 ways in which 5 guys can sit if arranged from oldest to youngest.
We have,
Five guys.
Now,
We know that,
Total number of ways to arranged around a table (n) = (n-1)!
So,
For n = 5,
I.e.
(n - 1)! = (5 - 1)! = 4!
So,
Total number of ways to arranged Five guys rom oldest to youngest (n) = (n-1)!
i.e.
= (5 - 1)! = 4!
We get,
= 4 × 3 × 2 × 1
i.e.
Total number of ways to arranged Five guys rom oldest to youngest (n) = 24.
Hence we can say that there are 24 ways in which 5 guys can sit if arranged from oldest to youngest.
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The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches
The surface area of a rectangular prism is found as 150 square inches.
What is rectangular prism?A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces make up a rectangular prism, and each face has a rectangle shape and twelve edges.
Actually, prisms get their name from the way their faces are shaped. Therefore, a rectangular prism is just a prism with rectangular faces. Although it is a closed, three-dimensional object, two rectangles serve as its foundation.
Calculation for the surface area of rectangular prism-
Height of a rectangular prism => H = 4 inches
Width of a rectangular prism => B = 9 inches
Length of a rectangular prism => L = 3 inches
Surface area of a rectangular prism = 2(LB + BH + HL)
= 2(9×3 + 9×4 + 4×3)
= 150
Therefore, the surface area of a rectangular prism is found as 150 square inches.
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A plot of land has been surveyed for a new housing development with borders AB, BC, DC, and DA. The plot of land is a right trapezoid with a height of 60 feet and an opposite leg length of 65 feet.
Right trapezoid A B C D is shown. Angles A and D are right angles. Sides A B and D C are parallel. The length of A D is 60 feet and the length of B C is 65 feet.
If the measure of angle BCD is 67.4°, the measure of angle ABC is
°.
If the length of base AB is 80 feet, the length of DC is
feet.
Answer:
90 approximately because if AB is 80 then DC should be 90 because AB come before DC in letters
Answer:
112.6 degrees and 105 feet.
Step-by-step explanation:
took the assignment
You roll two number cubes one red and one blue. the table shows the probability
Answer:
where is the table?
Step-by-step explanation:
If a hypothesis is tested at the α=0.05 level of significance, what is the probability of making a type i error?
The probability of making a type i error is also α = 0.05 or 5% of error.
For the given question,
A Type I error occurs when a significance test results in the rejection of a true null hypothesis. By one common convention, if the probability value is below 0.05, then the null hypothesis is rejected.
The null hypothesis assumes no cause and effect relationship between the tested item and the stimuli applied during the test. The probability of making a type I error is represented by the alpha level (α), which is the p-value below which you reject the null hypothesis.
Thus, If a hypothesis is tested at the α=0.05 level of significance, then the probability of making a type i error is also α=0.05 or 5% of error.
Hence we can conclude that the probability of making a type i error is also α = 0.05 or 5% of error.
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Determine whether (3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2
Yes, (3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2
In mathematics, the theory of linear systems is the foundation and core part of linear algebra, a subject that is used in most parts of modern mathematics. When the number of equations is the same as the number of variables, there is likely to be a solution. Not guaranteed, but likely.
If there is no solution, the equations are called "inconsistent".
One or infinitely many solutions are called "consistent"
In mathematics, a system of linear equations is a set of one or more linear equations involving the same variables
We need to find whether (3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2 or not
Let y = 2x - 8.......(1)
From equation (1) we get, y - 2x = -8.....(2)
2x + 4y = -2.........(3)
Put (3,-2) in equation (2) , we get
-2 - 2(3) = -2 -6 = -8
LHS = RHS
Put (3,-2) in equation (3) , we get
2(3) + 4(-2) = 6 - 8 = -2
LHS = RHS
Hence,(3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2
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I forgot how to do this, I need an explanation to find the answer
Answer:
23.53
Step-by-step explanation:
OK so we got sin 52°=0.8 and the cos 52°=0.6
but we need tan 52° because we don't want to spend our time on calculating hypothenuse so
[tex] \frac{ \sin(52) }{ \cos(52) } = 1.3 = \tan(52) [/tex]
so
[tex]1.3 = \frac{x}{18.1} = = = > x = 23.53[/tex]
Find the volume of the sphere.
Answer:
268.08 (268)
Step-by-step explanation:
The volume of a sphere is 4/3*pie*r^3
Solve for X. Please solve this.
Answer:
32
Step-by-step explanation:
Opposite angles are congruent, so Angle BAC is 58 degrees.
Line KL and FG are perpendicular (forms a 90 degree angle), so Angle ABC is 90 degrees.
Points ABC form a triangle, and the interior angles of a triangle must add up to 180 degrees.
Thus, 58 + 90 + Angle BCA = 180. Solving for BCA, we get 32 degrees. Since Angle GCJ is opposite to BCA, x is 32 degrees.
1
Select the correct answer.
What are the zeros of this quadratic function?
fx)=(x-7)(x+8)
OA
x = 0 and x = 7
OB. x= 0 and x = -8
OC. x=-7 and x = 8
OD. x=7 and x = -8
Answer:
B
hope this helps :)
Answer:
D
Step-by-step explanation:
to find the zeros, equate f(x) to zero, that is
(x - 7)(x + 8) = 0
equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 8 = 0 ⇒ x = - 8
Helllllllppppppppppp what Is 20 divided by 8
Answer:
2.5
Step-by-step explanation:
IVE BEEN WATCHING YOUR ACCOUNT STOP STEALING POINTS OR YOUR ACCOUNT WILL BE TERMINATED.
Bens barbershop has a rectangular logo for their business that measures 7 1/5 feet long with an area that is exactly the maximum area allowed by the building owner. create an equation that could be used to determine m, the unknown side length of the logo.
A = 7M is the equation that might be used to find the unknown side length, M, of the rectangular logo.
Expression steps of the equationWe can determine the following details from the query:
Logo= rectangle with a
Length ,L= 7-foot
'A' stands for the logo's area, and 'M' for the side that isn't recognized.
The rectangle's area (A) is computed using:
A = L*W
⇒A = 7*M
(As per query, length, L=7 & W= M)
Consequently, the formula 'A = 7M' might be used to calculate the logo's undetermined side length, M.
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What is the domain of the function shown on the graph?
Answer:
domain {x:x≥-2}or in interval notation [-2,∞)
A random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important. The interval that is 95% certain to contain the proportion of all 18-24 year olds who believe that their health is extremely important is
Between 48% and 54% believe that their health is extremely important.
According to the statement
Given that a random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important.
Here
Sample size n =1001
sample proportion p = 0.51
By these values we calculate the Standard error of proportion.
So, Standard error of proportion = 0.0158.
Since sample size is sufficiently large we can take Z critical value for confidence interval
Z critical value for 95% = 1.96
Margin of error = ±1.96*std error
= ±0.0310
confidence interval = 0.51 ±0.0310
= (0.48, 0.54)
So, Between 48% and 54% believe that their health is extremely important.
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5.
MATHEMATICS Year'
A square is folded into half to form a rectangle as shown below. The perimeter of the rectangle is 36 cm.
Calculate the area of the square.
Answer: 144 [tex]cm^{2}[/tex]
Step-by-step explanation:
The rectangle's length is twice as long as it's width as the square is folded in half. Let's say that the width's length is x, we get the equation
x + 2x + x + 2x = 36
6x = 36
x = 6 cm
The length of the rectangle is the length of the square which is 2x = 2 * 6 = 12 cm
So the area of the square is 12 * 12 = 144 [tex]cm^{2}[/tex]
The graph shows the speed of a cart over a period of several minutes. At approximately what time did the speed of the cart begin to decrease?
The speed of the cart begin to decrease at approximately: 3.5 minutes.
What is a Time-Speed Graph?A typical time-speed graph shows the time on the x-axis and the speed on the y-axis. When the slope is rising, it means the speed is increasing. When the slope is horizontal, it means the speed is constant. When the slope falls or decline, it means speed is decreasing.
We are given a time-speed graph that shows the speed of a cart over a period of several minutes. Time in minutes is on the x-axis (horizontal axis) while speed in miles per hour is on the y-axis (vertical axis).
From the graph given, the speed of the cart started increasing up to about 3 minutes, since the line slopes upwards. Then, between 3 and 4 minutes, we have a horizontal line which starts to decline at approximately 3.5 minutes.
Therefore, we can conclude that the speed of the cart begin to decrease at approximately: 3.5 minutes.
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