If you got a score of 90 percent on the test and the test is worth 20 percent of your overall grade, you would multiply 90 by 0.2 for a value of 18 points out of the possible 20 points.
Is 70 percent a failing grade?
The standard range for grades is 55 to 100. As seen in the chart below, number grades correspond to letter grades. The required passing score is 70. (C). Failure grades are any grades between 55 and 69 (D and F), for which no unit credit is granted.
A Passed grade requires a C or higher; a C- or worse results in a Not Passed mark. Many prerequisites (such as those for General Education and Electives) may be satisfied by a grade of C-, but neither credit nor requirements will be satisfied by a grade of Not Passed.
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Help I do not understand this problem. 1/5 of this number is 2/5
Answer:2.
2/5 times 5 is 10/5 or 2
Step-by-step explanation:
Write y+3=5(x+4) in slope intercept form
Answer:
Below
Step-by-step explanation:
y+3=5(x+4) Expand R side, then subtract 3 from both sides of equation
y = 5x+ 17 Done .
Answer:
y = 5x+17
Step-by-step explanation:
To get this equation to slope intercept form, get the y variable by itself on one side of the equal sign.
y+3=5(x+4)
[Distribute the 5 to x and 4]
y+3 = 5x+20
[Subtract 3 from both sides]
y = 5x+17
[Done!]
A Question 8 (2 points) Retake question
Which equation would reflect the function over the Y-AXIS
f(x)= |x-31+2
Og(x) =
-x +31-2
g(x) = -x - 3| +2
) g(x) = |-x + 3| + 2
g(x) = -x - 3| + 2
A Question 9 (2 points) Retake question
The equation g(x) = |-x-3| + 2 would reflect the function over the y-axis.
The required value of f(3) is 10.
What is a reflection across the y-axis?Reflection across the y-axis is defined as reflecting a point across they = x, the x-coordinate, and y-coordinate places, the line y = -x is the coordinates (-x, y).
So reflected across the y-axis: f(x) → f(-x),
⇒ (x,y) → (-x , y)
As per the given question,
f(x) = |x-3| + 2
f(-x) = |-x-3| + 2 = g(x)
Thus, the equation g(x) = |-x-3| + 2 would reflect the function over the y-axis.
The function f(x) is given in the question,
f(x) = 4x - 2,
To determine the value of f(3)
Substitute the value of x = 3 in the given function,
f(3) = 4(3) - 2
f(3) = 12 - 2
f(3) = 10
Thus, the required value of f(3) is 10.
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CAN ANYONE PKEASE HELP MEEEEEE
Answer: y = 10(x) + 56
Step-by-step explanation:
y=10(4) + 56
y = 40 + 56
y = 96
Answer:
1a. y = 10 x + 16
1b. 16
2a. y = 600x + 1500
2b. $8700
Step-by-step explanation:
1a. A linear model represents a relationship between two variables as a straight line. In this case, we want to represent the relationship between the number of hours a canoe is rented for and the total cost of the rental, including the deposit.
We can create a linear model by using the equation y = mx + b, where y is the total cost, x is the number of hours the canoe is rented for, m is the slope of the line (the rate at which the cost changes per hour), and b is the y-intercept (the total cost when x is 0).
Since the total cost includes a non-refundable deposit, we need to add this to the y-intercept. The deposit is not dependent on the number of hours the canoe is rented for, so it is not represented in the slope.
Based on the information given, the total cost is $56 when the canoe is rented for 4 hours, and the rental fee is $10 per hour. We can use these values to solve for the y-intercept and the slope:
y = mx + b
56 = (10) (4) + b
56 = 40 + b
b = 56 - 40
b = 16
So the linear model representing the relationship between the number of hours a canoe is rented for and the total cost of the rental, including the deposit, is: y = 10 x + 16
1b. We know that the total cost is $56 when the canoe is rented for 4 hours, and the rental fee is $10 per hour. We can use these values to solve for the y-intercept, which represents the non-refundable deposit:
y = (10) (4) + b
56 = 40 + b
b = 56 - 40
b = 16
So the non-refundable deposit is $16. This means that the total cost of the rental, including the deposit and the hourly fee, is $56.
2a. We can create a linear model by using the equation y = mx + b, where y is the total cost, x is the number of solar heaters produced, m is the slope of the line (the rate at which the cost changes per heater), and b is the y-intercept (the total cost when x is 0).
Based on the information given, it costs $7500 to produce 10 solar heaters, and it costs $13,500 to produce 20 solar heaters. We can use these values to solve for the y-intercept and the slope:
y = mx + b
7500 = m(10) + b
13500 = m(20) + b
Subtracting the second equation from the first equation gives:
-6000 = m(10) - m(20)
6000 = m(20) - m(10)
6000 = m(20 - 10)
6000 = m(10)
m = 6000/10
m = 600
Substituting this value for m in either of the original equations and solving for b gives:
7500 = (600)(10) + b
7500 = 6000 + b
b = 7500 - 6000
b = 1500
So the linear model representing the relationship between the number of solar heaters produced and the total cost of production is:
y = (600) x + 1500
According to this model, the total cost of producing 15 solar heaters would be $10,500.
2b. To find the total cost of producing 12 solar heaters, we can use the linear model that represents the relationship between the number of solar heaters produced and the total cost of production:
y = (600) x + 1500
Where y is the total cost, x is the number of solar heaters produced, m is the slope of the line (the rate at which the cost changes per heater), and b is the y-intercept (the total cost when x is 0).
To predict the total cost of producing 12 solar heaters, we can substitute 12 for x in the equation:
y = (600) (12) + 1500
y = 7200 + 1500
y = 8700
According to this model, the total cost of producing 12 solar heaters would be $8700.
Find the constant of variation and the missing value when y varies directly with x.
If y = 35 when x = 7, find x when y = 49.
Answer:
42
Step-by-step explanation:
i need help Which of the points E , F , G , or H is the center of dilation?
Responses
E
F
G
H
segment EH and segment E'H' both pass through the center of dilation.
Which statement is true about the dilation?A fixed point in the plane around which all points are enlarged or contracted is the center of a dilation.
The center, which may be found within, outside, or on a figure, is the only invariant (not changing) point under a dilation (k 1).
In the figure attached, triangle EFG is shown.
H is located at (0, 1)
The center of dilation is located at (0, 2)
Then, H' is located at (0, 0), so that the distance between the center of dilation and H' is twice the distance between the center of dilation and H.
E is located at (0, 5)
Then, E' is located at (0, 8), so that the distance between the center of dilation and E' is twice the distance between the center of dilation and E.
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Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Jose's account went into overdraft. To get back to a positive balance, he deposited money at a steady rate of $31.97 per week. After 3 weeks, he had $47.3 in the account. What was the balance when the account went into overdraft?
The balance when the account went into overdraft was -48.61
What is an overdraft?An overdraft occurs when something is withdrawn in excess of what is in a current account. For financial systems, this can be funds in a bank account.
Let x be the balance when the account went into overdraft
To get back to a positive balance he deposited money at a steady rate of $31.97 per week.
Amount deposited per week = $31.97
Amount deposited 3 weeks = $95.91
Now amount in account after 3 weeks =x+95.91
We are given that After 3 weeks, he had $95.91 in the account.
So, x+95.91=47.3
x= 47.3-95.91
x= -48.61
Hence The balance when the account went into overdraft was -48.61
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Chandler buys a pair of tennis shoes for $89.99. If the shoes are discounted 35% and there
is 7.5% sales tax, how much will he pay in total for the shoes?
Total amount he will pay is equal to 62.880 after giving discount of 35% and adding the sales tax of 7.5%.
What is Discount ?Discount is the total price which is deducted from the original terms so as we have to pay less.
Discount is always given on the marked price of the article.
Marked price is the cost at which article is marked.
Chandler buy shoes of $89.99.
Total discount on shoes = 35%
Price after getting Discount = 58.4935
Sales Tax = 7.5 %
Price after sales tax = 58.4935 + 7.5% of 58.4935
= 62.880
So total amount he will pay is equal to 62.880.
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f(x) = x3 – 7x + 6 (a) Show that (x – 2) is a factor of f (x). (b) Hence, or otherwise, factorise f(x) completely.
Answer:
see explanation
Step-by-step explanation:
if (x - h) is a factor of f(x) then f(h) = 0
(a)
if (x - 2) is a factor of f(x) then f(2) = 0
f(2) = 2³ - 7(2) + 6
= 8 - 14 + 6
= - 6 + 6
= 0
since f(2) = 0 then (x - 2) is a factor of f(x)
(b)
using synthetic division to factor f(x)
insert a zero in the x² position on the table
2 | 1 0 - 7 6
↓ 2 4 - 6
-----------------------
1 2 - 3 0
quotient is
x² + 2x - 3 = (x + 3)(x - 1)
Then
f(x) = (x - 2)(x + 3)(x - 1)
PLEASE HELP much appreciated!
y>-2x+4 is the inequality of the given graph.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given line passes through (2,0) and (0,4)
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
m=4/-2=-2
4=-2(0)+b
b=4
Hence equation of line y=-2x+4
The shaded region is the above the line and line is dotted. so we have to use greater than symbol.
Hence, y>-2x+4 is the inequality of the given graph.
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reuben's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs reuben $4.10 per pound, and type b coffee costs $5.35 per pound. this month's blend used four times as many pounds of type b coffee as type a, for a total cost of $586.50. how many pounds of type a coffee were used? numberofpoundsoftypeacoffee:
23 pounds of type A coffee were used and 92 pounds of type B coffee were used, using the concept of formula equation we get -
What is formula equation?A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.
Let assume that, x represent the number of pounds of type A coffee that were used in the blend.
and y represent the number of pounds of type B coffee that were used in the blend.
Type A coffee costs Lena $4.10 per pound, and type B coffee costs $5.35 per pound.
The total cost of the mixture is $586.50.
Now,
4.10x + 5.35y = 586.50 ............ (i)
This month's blend used four times as many pounds of type B coffee as type A.
so, y = 4x
Substituting y = 4x into equation (i), we get -
4.10x + 5.35 × 4x = 586.50
or, 4.10x + 21.4x = 586.50
or, 25.5x = 586.50
or, x = 586.50/25.5
or, x = 23
Next, y = 4x = 4 × 23
y = 92
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pls help me, i need this done very soon.
Answer: for 35x+21 the answer is 7(5+3)
for the second one, the answer is 4x+2x+2
the 3rd one the answer is 5(6-3x)
for the fouth one the answer is 40x+50
for the fifth one the answer is 4x+4x+3
Step-by-step explanation:
Rewrite using a single exponent.
Answer:[tex]5^{18}[/tex]
Step-by-step explanation:
5^18
Marely has a picture frame that is 6 inches long and 5 inches wide.
They have a second frame that has the same length, and a width
that is 2 times as much as the first one.
What is the area of the second frame?
Answer:
60 square inches
Step-by-step explanation:
The width of the second frame is 2 times the width of the first frame, or 2 * 5 inches = 10 inches.
The area of the second frame is its length multiplied by its width, or 6 inches * 10 inches = 60 square inches.
What is the answer i need them now pls I'm going to fail
Answer:
C
Step-by-step explanation:
its 19735 hope it helps
how do you divide 9.51 by 6
Answer: 1.00585 or 1.585. Both are correct
Step-by-step explanation:
Let theta be an angle such that cos(theta) = -1/9 and 0 <=theta<=2pi
Assume that cos(theta/2) < 0. Then if
Terminal point of theta/2 = (a1, a2), enter a1 and a2 in that order.
In this case, the terminal point of theta/2 can be determined using the following steps:
Since cos(theta/2) < 0 and the cosine function has a range of [-1, 1], it follows that theta/2 must be in the second or third quadrant (90 degrees to 180 degrees or 180 degrees to 270 degrees).
To find the terminal point of theta/2, we can use the formula for converting from polar to Cartesian coordinates: x = rcos(theta) and y = rsin(theta), where (x,y) is the Cartesian coordinates of the terminal point, r is the radius, and theta is the angle in radians.
In this case, the radius is 1 (since the terminal point is on the unit circle) and the angle is theta/2. Substituting these values into the formulas above, we get:
x = 1 * cos(theta/2)
y = 1 * sin(theta/2)
To find the values of cos(theta/2) and sin(theta/2), we can use the identity cos(theta/2) = sqrt((1 + cos(theta))/2) and sin(theta/2) = sqrt((1 - cos(theta))/2).
Substituting the given value of cos(theta) (-1/9) and the identities above into the formulas for x and y, we get:
x = sqrt((1 + (-1/9))/2) = -sqrt(2)/3
y = sqrt((1 - (-1/9))/2) = sqrt(8)/3
Thus, the coordinates of the terminal point of theta/2 are (-sqrt(2)/3, sqrt(8)/3).
The terminal point (a₁, a₂) for theta/2 is (-2/3, √(5) / 3).
How to find terminal point?To find the terminal point (a₁, a₂) of theta/2, use the half-angle identity for cosine:
cos(theta/2) = ± √((1 + cos(theta)) / 2)
Given that cos(theta) = -1/9 and cos(theta/2) < 0, the negative sign should be used in the half-angle identity.
Calculate cos(theta/2):
cos(theta/2) = - √((1 + cos(theta)) / 2)
cos(theta/2) = - √((1 - 1/9) / 2)
cos(theta/2) = - √((8/9) / 2)
cos(theta/2) = - √(8/18)
cos(theta/2) = - √(4/9)
cos(theta/2) = - 2/3
Cos(theta/2) = -2/3. To find the terminal point (a₁, a₂), determine the values of a₁ and a₂.
Since cos(theta/2) is negative, a₁ is negative. To find the value of a₂, use the Pythagorean identity:
cos²(theta/2) + sin²(theta/2) = 1
Since cos(theta/2) = -2/3, calculate sin(theta/2):
sin²(theta/2) = 1 - cos²(theta/2)
sin²(theta/2) = 1 - (-2/3)²
sin²(theta/2) = 1 - 4/9
sin²(theta/2) = 5/9
sin(theta/2) = ± √(5/9)
sin(theta/2) = ± √(5) / 3
Since theta is in the second quadrant (cos(theta) = -1/9), sin(theta) is positive in the second quadrant. Therefore, sin(theta/2) = √(5) / 3.
Now, sin(theta/2) = √(5) / 3.
So, the terminal point (a₁, a₂) for theta/2 is (-2/3, √(5) / 3).
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factor out using the gcf 1/5c + 4/5
The factored expression of 1/5c + 4/5 is 1/5(c + 4)
How to factor the expression?From the question, we have the following parameters that can be used in our computation:
1/5c + 4/5
From the above expression, we have the following highlights
Terms of the expressions = 1/5c and 4/5Number of terms = 2In the above terms, we can see that the denominator of the terms is 5
When this denominator is removed, we have
Expression = c + 4
This means that
GCF =1/5
So, the factored expression is 1/5(c + 4)
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Derive the expected mean squares for a balanced three-stage nested design assuming that A is fixed and that B and C are random. Obtain formulas for estimating the variance components. Assume the restricted form of the mixed model
The expected mean square can be generated in minitab as shown below :
What is expected mean square ?
Expected mean squares in statistics are the predicted values of certain statistics emerging in sums of squares partitions in the analysis of variance. They can be used to determine which statistic belongs in the denominator of an F-test that is being used to test the null hypothesis that a given effect is not there.
Not often, although in some circumstances, perhaps. The average squared departure of observed data values from the sample or population mean is known as variation. The average squared difference between actual and anticipated values is known as MSE (mean squared error).
Te expected mean squares for a balanced three-stage nested design assuming that A is fixed and that B and C are random.
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PLS HELP
Assume that all grade-point averages are to be standardized on a scale between 0 and 5. How many grade-point averages must be obtained so that the sample mean is within 0.009 of the population mean? Assume that a 98% confidence level is desired. If using the range rule of thumb, o can be estimated as
Range/4 = 5-0/4 = 1.25. Does the sample size seem practical?
No, the sample size is not practical.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We need to find grade-point averages.
The sample mean is within 0.009 of the population mean.
98% confidence level is desired
The formula for sample size is n = (z alpha/2× S/E)²
where n = sample size
z alpha/2 = critical value for 98% confidence = 2.58
S = 1.25 and
E = 0.009
n = (2.58 × 1.25 / 0.009)² = 128401.5 ~ 128402
Sample size does not seem practical.
Hence, the sample size is not practical.
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The near model represents the height, f(x), of a water batson thrown off the root of a building over time, x, measured in seconds
Part A During what intervals) of the domain is the water batoon's height increasing? Of points)
Part B: During what interval) of the domain is the water baloon's height staying the same? (2 points)
Part C: During what intervale) of the domain is the water batoon's height decreasing the fastest? Use complete sentences to support your answer. ( points)
Part D: Use the constraints of the real world situation to predict the height of the water beloon at 14 seconds. Use complete sentences to support your answer (3 points)
A) During the interval (0, 2) of the domain the water balloon's height is increasing.
B) During the interval (2, 4) of the domain the water balloon's height is staying the same.
C) During the interval (8, 10) of the domain, the water balloon's height is decreasing the fastest.
D) The height of the balloon will be zero since the height of the balloon has remained the same from the 10th interval.
What is an interval?
In mathematics, an interval is quantified in terms of numbers. Every number between two specific integers is considered to be an interval. Between those two values, this range encompasses all real numbers. Real numbers can be of any type you can imagine.
All the numbers between a pair of provided numbers are considered an interval. It is crucial to indicate if the start and end numbers are included. The Number Line, Inequalities, and Interval Notation are the three primary methods for displaying intervals.
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can someone answer this
Answer: EASY
Step-by-step explanation:
PLEASE HELP!!! i'm terrible at graphing.
The graph of the given function, g(x) = -5^x + 5, is shown below
Graphing a functionFrom the question, we are to graph the given function.
From the given information,
The given function is
g(x) = -5^x + 5
To graph the function, we will determine some of the points on the line
When x = -2
g(2) = -5^(-2) + 5
g(2) = -1/25 + 5
g(2) = 4 24/25 = 4.96
When x = -1
g(1) = -5^(-1) + 5
g(1) = -1/5 + 5
g(1) = 4 4/5 = 4.8
When x = 0
g(0) = -5^(0) + 5
g(0) = -1 + 5
g(0) = 4
When x = 1
g(1) = -5^(1) + 5
g(1) = -5 + 5
g(1) = 0
When x = 2
g(2) = -5^(2) + 5
g(2) = -25 + 5
g(2) = -20
Using the above points, the graph of the function is shown below.
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Solve the equation 3x+1=4x-8 for x.
Answer:
ok
Step-by-step explanation:
3x+1=4x-8= -6
x=-6
this is the x
I hope you have understand
A cone and it’s dimensions are shown in the diagram.Which measurement is closest to the volume of the cone in cubic inches?
Answer:
the volume of the cone is approximately 28.26 cubic inches.
Step-by-step explanation:
To find the volume of a cone, you can use the formula:
V = (1/3) * π * r^2 * h
where V is the volume of the cone, r is the radius of the base of the cone, and h is the height of the cone.
Using the dimensions provided in the diagram, the radius of the base of the cone is 3 inches and the height of the cone is 8 inches. Plugging these values into the formula, we get:
V = (1/3) * π * 3^2 * 8
= (1/3) * 3.14 * 9 * 8
= 28.26 cubic inches
So, the volume of the cone is approximately 28.26 cubic inches.
...... i need help past due
Answer:
Step-by-step explanation:
The given is the number of years she drives for and how much she drives in a year.
We can use this to figure out how many miles she drives in 3, 4, and 6 years.
To do that, just multiply the number of years by the number of miles she drives in a year
[tex]\frac{9000}{1} =\frac{miles}{x years}[/tex]
[tex]9000 * x years = 1 * miles[/tex]
[tex]3 * 9000 = 27,000\\4 * 9000 = 36,000\\6 * 9000 = 54,000[/tex]
Put points at (3,27000) , (4,36000) , (6,54000)
Draw a straight line through them (not like mine)
Find the slope of the line.
Answer:
ez 2/1
Step-by-step explanation:
how would 5,608,,912,013 be written in word form
Answer:five thousand six hundred eight
Write an equation in standard form of the line that passes through the given points.
X -4 -1 2 5
y 5 1 -3-7
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{-8}{2 +4} \implies \cfrac{ -8 }{ 6 } \implies - \cfrac{ 4 }{ 3 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- \cfrac{ 4 }{ 3 }}(x-\stackrel{x_1}{(-4)}) \implies y -5 = - \cfrac{ 4 }{ 3 } ( x +4) \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-5)=3\left( - \cfrac{ 4 }{ 3 } ( x +4) \right)}\implies 3y-15=-4(x+4) \\\\\\ 3y-15=-4x-16\implies 3y=-4x-1\implies {\Large \begin{array}{llll} 4x+3y=-1 \end{array}}[/tex]
The base of parallelogarm is 13 yards and the height is 10 yards what is the area
The parallelogram's area is 130 yards square.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question-
base*height
base=13
height=10
13*10
= 130 yds
Hence, The parallelogram's area is 130 yards square.
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