Here are different ways to express 910 as the product of two positive integer coefficients:
1 x 910, 2x455, 5x182, 10x91, 13x70, 15x61, 26x35, 30x31
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Consider the function f(x)=2x2+7x−30, and the general quadratic function in standard form f(x)=ax2+bx+c.
Find the values of a, b, and c.
Answer:
The general form of the quadratic function f is f(x) = ax2 + bx + c, ... To get the x-intercepts, we opt to set the given formula g(x)=6 − x − x2 = 0.
Step-by-step explanation:The general form of the quadratic function f is f(x) = ax2 + bx + c, ... To get the x-intercepts, we opt to set the given formula g(x)=6 − x − x2 = 0.
Identify the graph of y≤3x−1.
Answer:
The points are at 0,-1 and 0.333, 0
Step-by-step explanation:
madison and jacob are training for a 5k. Below shows a week of their running log complete the tables
Answer:
asxas
Step-by-step explanation:
choose the most convenient method to graph a line 3x - 2y equals -12
y-intercept would be, when x=0:
\(\begin{gathered} -2y=-12 \\ y=\frac{-12}{-2}=6 \end{gathered}\)x-intercept would be, when y=0:
\(\begin{gathered} 3x-2(0)=-12 \\ 3x=-12 \\ x=\frac{-12}{3} \\ x=-4 \end{gathered}\)Now, having these intercepts we can graph the line.
So, the most convenient method is to find x-intercept and y-intercept.
A wedding cake was cut into 30 slices. If 12 of the slices were eaten, what fraction represents the eaten portion of the cake? Reduce your answer to lowest terms.
Answer:
12/30, if you reduce then it would be 2/5 because you divided by 6 hope this helps! :D
Step-by-step explanation:
The fraction that represents the eaten portion of the cake is \(\frac{2}{5}\)
Let the wedding cake be W.Let the eaten portion be E.Given the following data:
Total wedding cake slices = 30 slicesNumber of cake slices eaten = 12 slices.To find the fraction that represents the eaten portion of the cake;
In this exercise, you're required to find what fraction represents the eaten portion of the wedding cake.
\(Fraction = \frac{E}{W}\)
Substituting the values into the equation, we have;
\(Fraction = \frac{12}{30}\)
Dividing both sides by 6, we have;
\(Fraction = \frac{2}{5}\)
Therefore, the fraction that represents the eaten portion of the cake is \(\frac{2}{5}\)
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Solve the quadtratic equation
a^2 + 3a+2=0
Answer us shown above...
I did the quiz.
Crown (brainliest) please...
What is the circumference of the circle if the radius is 10 cm?
The circumference of the circle is 62.8cm.
The Circumference of the circle is given by the formula,
Circumference = 2*\(\pi\)*r cm.........equation 1
Given, r = 10cm
On substituting the radius value in equation 1
Circumference = 2*\(\pi\)*10
Circumference = 62.8 cm
Therefore, the circumference of the circle is 62.8cm.
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Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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The pictogram shows information about houses in a street.
Each house has 3,4 or 5 bedrooms.
Answer:
114
Step-by-step explanation:
11 houses have 3 bedrooms
14 houses have 4 bedrooms
5 houses have 5 bedrooms
Number of bedrooms =
= 11 × 3 + 14 × 4 + 5 × 5
= 114
Question 15 of 60
Choose the symbol that correctly compares the fractions below.
8 8
-?-
10 10
OA. None of these are correct.
OB. <
C. >
OD. =
SUBMIT
Answer:
D
Step-by-step explanation:
Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 30 miles per hour, while the truck heads south at
an average speed of 70 miles per hour. Find an expression for their distance apart d (in miles) at the end of thours.
At the end of t hours, the two vehicles are miles apart.
(Simplify your answer. Type an exact answer, using radicals as needed.)
A roller coaster's height is given by the equation h = -0.067t^2 + 7t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0
A. 13.40 seconds
B. 50.07 seconds
C. 52.24 seconds
D. 111.19 seconds
The time it take riders to pass over the hill and reach ground level is 111.19seconds
Functions and valuesGiven the roller coaster's height expressed by the function below;
h = -0.067t^2 + 7t + 50
where
t is the time in seconds
The driver will hit the ground at the point where h = 0
Substitute
-0.067t^2 + 7t + 50 = 0
Multiply through by -1
0.067t^2 - 7t +-50 = 0
Factorize
On factorizing, the positive value of "t" is 111.19 seconds
Hene the time it take riders to pass over the hill and reach ground level is 111.19seconds
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Answer:
D) 111.19
Step-by-step explanation:
Step 1:
set h = 0
0 = -0.067t^2 + 7t + 50
Step 2:
multiply by -1
0 = 0.067t^2 - 7t - 50
Step 3:
My way may differ than your way but my is plug in all answer choices as t. If the answer choice equal to 0 meaning the answer.
A choice
0 = 0.067(13.40)^2 - 7(13.40) - 50
0 = 12.03 - 94.5 -50
0 = - 132.47
It doesn't equal to 0 meaning this choice is wrong answer
B choice
0 = 0.067(50.07)^2 - 7(50.07) - 50
0 = 167.96 - 350.49 - 50
0 = - 232.53
It doesn't equal to 0 meaning this choice is wrong answer
C choice
0 = 0.067(52.24)^2 - 7(52.24) - 50
0 = 182.84 - 365.68 - 50
0 = - 232.84
It doesn't equal to 0 meaning this choice is wrong answer
D choice
0 = 0.067(111.19)^2 - 7(111.19) - 50
0 = 828.33 - 778.33 - 50
0 = 0
It does equal to 0 meaning this choice is right answer
The answer is D) 111.19
Pls give me brainiest (I worked hard for this)
Never mind i got it!
Answer:
OOk
Step-by-step explanation:
PLS HELP! weights (in pounds) of catfish caught in the river: 4.8 3 2.7 4.4 4.8 9.9 What is the outlier? A) 3 lbs B) 4.8 lbs C) 9.9 lbs D) none
The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.
What is an outlier?An outlier is an observation that is much higher or lower than the other observations in a dataset.
In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.
Therefore, 9.9 lbs is the outlier in this dataset.
To find the outlier in this dataset, we can calculate the interquartile range (IQR).
This is done by first calculating the first quartile (Q1) and third quartile (Q3).
The Q1 for this dataset =3.75
and the Q3= 4.675.
IQR= Q3 - Q1
= 0.925.
We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.
The upper boundary is Q3 + (1.5 x IQR)= 6.4865.
Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.
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Given P=0.15M +20. Is P a function of M? explain your choice using the definition of a function
Answer: Yes, this is a linear function between P and M.
Step-by-step explanation:
We can define a function as a relation between two or more variables, like y = f(x).
This function, maps the elements x (the input) into elements y (the output).
We have a rule for a function: Each input x can be mapped into only one output y.
In this case, we have:
P = 0.15*M + 20.
Let's prove that each value of M is related to only one value of P.
Suppose that, for a given M0, we have:
0.15*M0 + 20 = p1
and also for M0, we have:
0.15*M0 + 20 = p2
This means that p1 = p2, so we can not have different outputs for the same input.
This is a linear relation, so each value of M is related to only one value of P.
Then this is a function P(m) = 0.15*M + 20.
What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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Select the inequality that matches the statement below:
more than 22
A. y < 22
B. y ≤ 22
C. y > 22
D. y ≥ 22
Answer:
C
Step-by-step explanation:
A rectangular prism has a length of 8in., a width of 4in., and a height of 2 1/4in. The prism is filled with cubes that have edge lengths of 1/4 in. How many cubes are needed to fill the rectangular prism?
We need 4608 cubes to fill the rectangular prism.
We have,
The rectangular prism has a volume of:
Volume = length x width x height
Volume = 8 in. x 4 in. x 2 1/4 in.
Volume = 72 in³
Each cube has a volume of:
Volume of cube = edge length³
Volume of cube = (1/4 in.)³
Volume of cube = 1/64 in³
To find the number of cubes needed to fill the rectangular prism, we can divide the volume of the prism by the volume of each cube:
Number of cubes = Volume of prism / Volume of a cube
Number of cubes = 72 in³ / (1/64 in³)
Number of cubes = 72 in³ x 64 / 1
Number of cubes = 4608 cubes
Therefore,
We need 4608 cubes to fill the rectangular prism.
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21. In the standard (x,y) coordinate plane, the graph of the
line 3x - 4y= d passes through the point (-5,6). What
is the value of d?
A. -39
B.
-9
C.
2
D.
9
E.
38
Answer:
answer=A
Step-by-step explanation:
3(-5)-4(6)=d
-15-24=-39
help plsase will mark. branilist
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
so, we only have to sum all 6 triangles and the base area :
6 × 6×8/2 + 93.5 = 36×4 + 93.5 = 144 + 93.5 =
= 237.5 in²
from a population of 600 elements, a sample of 256 elements is selected. it is known that the variance of the population is 1,024. the standard error of the mean is approximately
In a population of 600 elements, if a sample of 256 elements is selected and the variance of the population is 1,024, the he standard error of the mean is:
approximately 4.
The standard error of the mean is approximately equal to the standard deviation of the population divided by the square root of the sample size.
In this case, the standard deviation of the population is equal to the square root of the variance, which is equal to:
sqrt(1024) = 32.Therefore, the standard error of the mean would be equal to 32 / sqrt(256) = approximately 4.
The standard error of the mean is a measure of the variability of the mean of a sample. It gives us an estimate of how much the mean of a sample would vary from the true population mean if we were to take many samples from the same population.
The standard error of the mean is equal to the standard deviation of the population divided by the square root of the sample size.
The smaller the sample size, the larger the standard error of the mean. This makes sense because the mean of a smaller sample is less likely to be representative of the true population mean.
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Which of the following are equivalent to 12^4? Select all that apply.A 6^4. 2^4B 10^2. 2^2C 4^4. 3^1D 3^4. 4^4
so the answer is A and D
what is answer of (-2)×(-7)×(-3) with process
Answer:
42
Step-by-step explanation:
how to solve this question?
The revised Doubtful Debts Provision should be, $4,555.
Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):
Net Debts x Provision Rate equals Adjusted PDD.
The computation would then be:
= $91,100 x 0.05
= $4,555 is the adjusted PDD.
Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,
= $4,555 - $3,500
= $1,055
Hence, The revised Doubtful Debts Provision should be $4,555.
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Given the following table of values for the function f(x), determine f^-1(4)
Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3
What is the inverse of a function?The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.
In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;
Taking two points from the table;
m = y₂ - y₁ / x₂ - x₁
m = 0 - (-3) / -9 - (-11)
m = 3 / 20
Using the slope and one point on the table;
y = mx + x
-3 = 3/20(-11) + c
-3 = -1.65 + c
c = -3 + 1.65
c = -1.35
Putting the slope and y - intercept together;
y = 3/20x - 1.35
y = 3/20x - 27/20
f(x) = 3/20x - 27/20
Taking the inverse of the function;
f⁻¹(x) = (20x + 27)/3
To find the value of f⁻¹(4), we just need to substituting the value of x in the function;
f⁻¹(4) = (20(4) + 27)/3
f⁻¹(4) = 107/3
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On his most recent math test, Jeremy answered 48 questions correct out of 80 total questions. Which statement can be made about Jeremy's math test?
Answer:
Jeremy has gotten more than half of the test's questions correctly.
Step-by-step explanation:
To get half of the questions correctly, Jeremy needed at least 40, and Jeremy got more than 40, meaning he got more than half.
Find the value of x
Answer: The value of x is 49.
Step-by-step explanation:
To find the value of x, you will first need to cross multiply the fractional variables together.
5x - 80 = 3x + 18
Then, move the numerical term 80 to the right side of this equation and add it to 18.
5x - 80 = 3x + 98
Move 3x to the left side of the equation and subtract it this time to the variable 5x.
2x = 98
Finally, you divide both of the equation's sides by 2 and you will get 49.
x = 49
When you actually add x to this problem, you would get 33/55.
49 - 16/49 +6 = 33/55
You can then simplify 33/55 and get the same answer 3/5.
3/5
Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!
-From 5th Grader Honors Student
Fill in the blank.
Dividing by 7 is the same as (Choose one)
dividing by
subtracting from
multiplying by
adding to
17/1.
Dividing by 7 is the same as dividing by 17/1, as both numbers are considered mathematically prime.
What are prime numbers?They correspond to the natural numbers that are greater than the number 1 and only have two divisors, that is, they are divisible only by the number 1 and itself, as well as the numbers 7 and 17.
Therefore, it is concluded that dividing by 7 is the same as dividing by 17/1 due to the fact that both numbers are prime, which can be confirmed through the numerical factorization of both numbers.
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3. [-/2 Points]
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
4x² + 5x-6
x+2
DETAILS
20
lim
X--2
Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x)
LARCALC12 1.3.044.
Need Help? Read It
The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2
To find the limit as x approaches -2, we substitute -2 into the function:
f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
= 4(4) - 10 + 12 + 2
= 16 - 10 + 12 + 2
= 20
Therefore, the limit of the function as x approaches -2 is 20.
To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.
However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.
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Help plz:)))I’ll mark u Brainliest
Answer:
scale factor = 1.5
Step-by-step explanation:
15 / 10 = 1.5
10 * 1.5 = 15