Given:
Average of test is 85.2
First four test grade is : 81, 87, 79, 93
let fifth test grade is "x"
so average is:
\(A\mathrm{}V\mathrm{}=\frac{x_1+x_2+x_3+x_4+x_5}{5}\)\(\begin{gathered} 85.2=\frac{81+87+79+93+x}{5} \\ 5\times85.2=81+87+79+93+x \\ 426=340+x \\ x=426-340 \\ x=86 \end{gathered}\)So the fifth test grades is 86.
Which of the following equations demonstrate the set of polynomials is not closed under the certain operations?
Answer:
see below
Step-by-step explanation:
When there as a remainder, polynomial division does not result in a polynomial. The set of polynomials is not closed for division.
Answer:
B, Division
Step-by-step explanation:
What is the next value?
2 3 E 4 5 I 6 8
options: O 8 M N
Answer:
The correct answer is a.
Step-by-step explanation:
The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.
. The table below shows the cost of making a long distance call based on the length of the call. Long Distance Rates Time (minutes) Cost 5 $0.55 6 $0.62 7 $0.69 8 $0.76 9 $0.83 10 $0.90 Refer to the above table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.
An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.
Given:
Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.
The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.
We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.
We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.
Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.
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Question 10 (2.5 points) ✓ Saved
Write the comparison below as a ratio in simplest form using a fraction, a colon (:), and the word to.
15 dollars to 27 dollars
Put these numbers in order from least to greatest.
-1/4
2/40
-16
9/25
Answer:
(-1/4)(-16)(2/40)(9/25)Step-by-step explanation:
which rule could represent the function shown by the table?
First we can notice that the values in w correspond to a cuadratic equation with the intercept with the y axis equal to 1. and the intercepts with the x axis is -1 and 1 so the x^2 is negative so is opyion C
\(y=-x^2+1\)What is the slope of the line represented by the equation y = -1/2 X + 1/4
Step-by-step explanation:
y = -1/2 X + 1/4
comparing with y = mx+c
m = -1/2 and m is slop
henve slope = -1/2
If 13/(5x + y)= 1/y what is the value of 2y/X ?
The value of the given mathematical expression is a 5/6.
According to the statement
we have to find the value of the 2y/X from the given statement.
So, For this purpose, we know that the
Mathematical expression is an expression is a combination of numbers, variables, functions.
From the given information, The expression is a:
13/(5x + y)= 1/y
Now, rearrange it then
13y/(5x + y)= 1
13y = (5x + y)
Now solve it then the value becomes
13y - y = 5x
12y = 5x
Divide it with the 6 then
2y = 5x/6
Then
2y/x = 5/6.
Now, the expression value becomes is 5/6.
So, The value of the given mathematical expression is a 5/6.
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?? please help ☹️ I'm tired
Answer:
13 units
Step-by-step explanation:
Hello!
The area of a trapezoid is \(\frac{b_1 + b_2}{2} * h\).
So, given the area is 100 units², and the height is 10 and one base is 7, solve for the other base:
\(\frac{b_1 + 7}{2} * 10 = 100\)\(\frac{b_1 + 7}{2} = 10\)\(b_1 + 7 = 20\)\(b_1 = 13\)The missing base is 13 units.
Please help fast! 100 POINTS
Answer:
65
Step-by-step explanation:
Answer: the answer is 41
Step-by-step explanation: 4+2+3+3+6+2+5+3+6+7=41
Solve: 6|y| + 6 = 4
1.0
2.{-6,4}
3.{-4,4}
4.{0}
Type the correct answer in the box.
A diagram of a trapezoid whose base measure 21 units and distance between the parallel lines is 8 units. Two perpendiculars dashed lines are 3 units apart. A triangle is formed with base 3 units and height 8 units.
The area of the figure is
square units.
The area of the figure is 132 square units. We need to add the areas of 3 parts of the figure.
First, I would figure out the areas of the triangles:
Now, we need to clarify the triangles.
First we need to find the area of the left triangle.
Area of Triangle: \(\frac{1}{2}bh\)
Area of Left triangle: 1/2(6x8) =24 units²
Area of Right triangle: 1/2(8x3) = 12 units²
Now, we need to find the area of the rectangle.
Area of Rectangle = l * b
Entire rectangle between triangles: 12x8 = 96 units²
We got all the areas,
now we add all areas together: 24+12+96 = 132 units².
Therefore, the area of the figure is 132 square units.
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What is the value of X in the equation -3 over four equals X over 24
Answer:
I think it's -18
Step-by-step explanation:
24 divided by 4 is 6. what you do to one has to be done to the other. so -3 times 6 equals -18.
Answer: -18
Step-by-step explanation:
PLEASE HELP ME! Truthful answer only please
Answer:
D. \(-2a^2+2a+4\)
Step-by-step explanation:
\(d_1=a^2+2a+3\\d_2=2a^2+a+1\\\)
First, substitute both of these equations into \(2(d_1-d_2)\)
\(2((a^2+2a+3)-(2a^2+a+1))\)
Now, you just simplify. I don't have much to say about it, but here's the steps:
\(2(a^2+2a+3-2a^2-a-1)\\2(a^2-2a^2+2a-a+3-1)\\2(-a^2+a+2)\\-2a^2+2a+4\)
Your answer is D. \(-2a^2+2a+4\)
Can someone help this is really difficult for me
Answer:
D.strong
Step-by-step explanation:
Answer:
strong
Step-by-step explanation:
definitely not parabolic
pretty positive (not negative)
pretty strong (not weak)
I guess strong
(don't be angry if it is wrong, I'm not a regression and best fit expert)
heres another please help
Answer:
31
Step-by-step explanation:
subsitute
35-4
May you please help me on this question, Geometry Transformation Defenitions. We'll have to match the terms to their correct defenition.
1)
The property not preserved under line reflection is orientation.
Option g
(Note: Dilation, rotation and translation are preserved under line reflection).
2)
A congruence transformation is also known as isometry or rigid transformation.
Option e.
3)
A --- invloves three reflections
4)
Since reflection does not preserve orientation, the reflection of quadrilateral does not preserve orientaion
Option g.
5)
The equaivalent of three reflections in parallel lines is a reflection
Option l
6)
In reflection, the figure is flipped over a line.
Option o
7)
A figure with rotational symmetry can be mapped onto itself by a rotation of 180 degree or less.
Option j.
8) Transformation that change the position of a figure without changing its shape and size is known as translation.
Option m
9)
Moving a figure to the right or left and up or down without flipping is
translation.
Option m
10)
In translation, a point, line or image is slided to a new position without any change in shape or size without any flipping.
Option m
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
3.5 g to 2.8 g
Answer:
3/5 and 1/4
Step-by-step explanation:
Which equation(s) represents a nonproportional relationship? Select all that apply
O y=3x
O y=3x-2
O y=x+1
O y=-ax
Answer:
The correct answer is option one and option four.
Step-by-step explanation:
y=3x and y=-ax are equal because they are opposites and can match to the other by the same numbers. I hope you know what I mean by that, I prob didn't say it right. But the other two opstions are not correct because they are different kind of equations, (additions, subtraction, multiplication, and division) I hope you understand. Good luck on future questions!!
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be less than 526.4 minutes? Round your answer to four decimal places.
The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
The variance = 2916,
The mean life of a battery, m = 518 min,
The total number of samples, n = 81
Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,
z = x - m / (σ / √ n)
Here, x is the expected value, σ is the deviation, and z is the probability.
Substitute the values,
z = 526.4 - 518 / (54 / √81) [σ = √ variance = √2916 = 54]
z = 1.4
Consult the cumulative standard normal table
P (z < 526.4) = 0.9192,
But we know that
P (z > 526.4) = 1 - P (z < 526.4)
P (z > 526.4) = 1 - 0.9192 = 0.0808
Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
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There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answer:
5
Step-by-step explanation:
This problem refers to a right triangle ABC with C= 90°. Begin each problem by drawing a picture of the triangle with both the given and asked for information labeled appropriately. Answer to the nearest hundredth of a foot. If B=37.56 and a =49.94ft then b
The side b is approximately 80.02 feet in length. In a right triangle ABC with angle C equal to 90°, if angle B is 37.56° and side a is 49.94 feet, we can solve for side b using the trigonometric function sine.
First, we can label the triangle as follows:
Side a is opposite angle A,
Side b is opposite angle B,
Side c is the hypotenuse.
Let's label the triangle with the given and asked for information. Angle C is the right angle, angle B is 37.56°, side a is 49.94 feet, and side b is the side we are trying to find.
Using the sine function, we have:
sin(B) = opposite/hypotenuse
sin(37.56°) = a/b
Now we can substitute the known values:
sin(37.56°) = 49.94/b
To solve for b, we rearrange the equation:
b = 49.94 / sin(37.56°)
Using a calculator, we find:
b ≈ 80.02 feet.
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The ratio of boys to girls in a homeroom at Twin Rivers Middle School is 3:2
If there are 12 boys, how many girls are there in the homeroom?
Answer:
There are 8 girls in the homeroom
How does a recipient not-for-profit entity record the receipt of a gift that will be transferred without restriction to another charitable entity? What if the donor retains the right to revoke or redirect the gift?
When a recipient not-for-profit entity receives a gift for transfer to another charitable entity, it records it as revenue upon receipt.
If the donor retains the right to revoke or redirect the gift, it's recognized as a "Contribution Receivable" liability until the restrictions lapse or are fulfilled. Consult accountants for proper accounting.
When a recipient not-for-profit entity receives a gift that will be transferred without restriction to another charitable entity,
The accounting treatment typically involves two steps:
Recognition on Receipt:
The recipient not-for-profit entity should recognize the gift as revenue or contribution in its financial records upon receipt.
This is because the organization has legal control and possession of the gift, even if it intends to transfer it to another charitable entity.
The accounting entry will depend on the nature of the gift received ( cash, securities, in-kind donation).
Classification as a "Contribution to be Transferred":
The second step involves classifying the received gift as a "Contribution to be Transferred" on the recipient's balance sheet.
This classification reflects that the entity intends to pass the gift along to another charitable entity
and that the funds are not restricted for use within the recipient organization.
If the donor retains the right to revoke or redirect the gift,
The recipient not-for-profit entity should follow the guidelines for recognizing contributions subject to donor restrictions.
Until the restrictions lapse or are fulfilled, the contribution should be recorded as a liability ( "Contribution Receivable").
Accounting for contributions with donor-imposed restrictions can be complex,
and the specific treatment will depend on the terms of the gift and applicable accounting standards.
It's essential for the not-for-profit organization to consult with its accountants
or financial advisors to ensure compliance with relevant accounting principles and reporting requirements.
Also, it's important to note that accounting standards and regulations may vary across different countries or regions,
so organizations should adhere to the accounting principles applicable in their specific jurisdiction.
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whats -4+1 is it -3?
Answer: YES
Step-by-step explanation:
Answer:
the corrects answer is -3
Step-by-step explanation:
A machine made 4 1/2 pencils in 3 1/3 minutes. How many pencils did the machine make in one minute?
Given parameters:
Number of pencils = \(4\frac{1}{2}\) pencils
Time taken = \(3\frac{1}{3}\) minutes
Unknown:
Number of pencils produced in 1 minute;
Solution:
To solve this problem, let us first find the rate of the machine;
Rate of machine = \(\frac{number of pencils }{time taken}\)
Rate of machine = \(\frac{\frac{9}{2} }{\frac{10}{3} }\) = \(\frac{9}{2} x \frac{3}{10}\) = \(\frac{27}{20}\) pencils/minute
Now, number of pencils produces in 1 minute;
Number of pencils = rate of machine x time taken
Number of pencils = \(\frac{27}{20}\) pencils/ min x 1 min
Number of pencils = \(\frac{27}{20}\)pencils
The number of pencils produced in 1 minute is \(\frac{27}{20}\)
Today, everything at a store is on sale. The store offers a 45% discount. If the regular price of an item is x dollars, what is the price you pay after the discount? Write an algebraic expression.
hello
to solve this question, we should write out an expression
the cost of an item = x
there's 45% discount on x
let y represent the discount price
\(\begin{gathered} \frac{45}{100}=\frac{y}{x} \\ 0.45=\frac{y}{x} \\ y=0.45x \end{gathered}\)the new price to pay after the discount =
\(x-(0.45x)=\text{new price}\)the new price of the item = x - (0.45x)
During a period of 112 minutes, a music station played 40 minutes of commercials. What
is the ratio of music they played to commercials they played?
Answer:
9:5
Step-by-step explanation:
112 - 40 = 72. 112 represents the total time, but you are comparing music to commercials, so you have to subtract the commercial time from the total time.Find the GCF of 72 and 40, which is 8. Divide 72 and 40. The simplified ratio is 9:5.( PLEASE I NEED HELP AASP!!)
Answer:
2/3 * 660
Step-by-step explanation:
If we convert 65% to a decimal, we get 0.65.
First, it will helpful to find exactly what is 65% of 668:
0.65 * 668 = 434.2 and thus 65% of 668 is exactly 434.2.
Similarly, if you convert 2/3 to a decimal, you get 0.66 repeating.
2/3 * 660 = 440 which is only 10.2 units larger than 434.2. Thus, 2/3 * 660 is the most accurate estimate of 65% of 668.
The total number of elements in the power set of a set A containing ‘n’ elements is
Step-by-step explanation:
Number of Elements in Power Set - For a given set S with n elements, number of elements in P(S) is 2^n. As each element has two possibilities (present or absent), possible subsets are 2x2x2.. n times = 2^n. Therefore, power set contains 2^n elements.