Step-by-step explanation:
multiply through by the LCM=3x-7
4(3x-7)-5=4(3x-7)
12x-28-5=12x-28
The integer coefficient of x on both sides of the equation=+12 so there's no integer solution for the equation
i need to know what the value would be for each one.
Notice that if we expand the product for the function R(x), we obtain a quadratic equation:
\(R(x)=(500+125x)(50-5x)\)The graph of a quadratic function is a parabola, and the x-coordinate of the vertex of the parabola is located between the zeros of the function.
The zeros of the function are given by the equations:
\(\begin{gathered} 500+125x=0 \\ \Rightarrow x_1=\frac{-500}{125}=-4 \\ \\ 50-5x=0 \\ \Rightarrow x_2=\frac{50}{5}=10 \end{gathered}\)Then, the x-coordinate of the vertex of the parabola is:
\(x_v=\frac{x_1+x_2}{2}=\frac{-4+10}{2}=\frac{6}{2}=3\)For x=3, the price of the yearbooks is:
\(50-5(3)=35\)The possible maximum revenue would be:
\(\begin{gathered} R(3)=(500+125\cdot3)(50-5\cdot3) \\ =(875)(35) \\ =30,625 \end{gathered}\)And the amount of yearbooks they would sell is:
\(500+125\cdot3=875\)Therefore, the answers are:
Price of the yearbooks: $35
Maximum possible revenue: $30,625
Amount of yearbooks they will sell: 875
A new pair of sunglasses is regularly priced at $130.00. What
will the price be after at 35% discount? *
Answer:
$84.5
Step-by-step explanation:
First you want to find what 35% of 130 is:
$130.00 x 0.35 = 45.5
(In order to do this you have to turn the percentage into a decimal by dividing by 100: 35% ÷ 100 = 0.35)
Now you need to subtract what 35% of 130 is from 130:
130 - 45.5 = 84.5
Answer:84.50
Step-by-step explanation:
original price/discount
$130x.35=45.5
original price -discount
130-45.5
84.50
PLEASE ANWSER ASAP
Below, a two-way table is given
for student activities.
Sports Drama Work Total
7
3
13
2
5
5
Sophomore 20
Junior
20
Senior
25
Total
Find the probability the student is a sophomore,
given that they are in work.
P(sophomore | work) = P(sophomore and work) = [? ]%
P(work)
Round to the nearest whole percent.
The probability of P(sophomore | work) is 0.30.
Given that:
Sports Drama Work Total
Sophomore 20 7 3 30
Junior 20 13 2 35
Senior 25 5 5 35
Total 65 25 10 100
The probability is given as,
P = (Favorable event) / (Total event)
The probability of P(sophomore | work) is calculated as,
P = (3/100) / (10/100)
P = 3 / 10
P = 0.30
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What do we do when we cite evidence?
Give a quote from the text
Explain evidence
Give your argument
Tell a joke
WILL MARK BRAINLY NO BOTS
Answer:Citing textual evidence requires students to look back into the text for evidence to support an idea, answer a question or make a claim. Citing evidence requires students to think more deeply about the text, analyze the author, source etc.
Step-by-step explanation: u havent given the text but i hope this helps
brainliest?
The outside diameter (od) of a pipe is 4 9/32 inches. The walls are 7/32 inches thick. find the inside diameter.
Please explain how you got your answer.
The inside diameter would be the outside diameter minus 2 of the wall thicknesses.
4 9/32 - (2 x 7/32)
Simplify:
4 9/32 - 14/32
Because 14/32 is larger than 9/32 change one of the hole numbers to a fraction: 1 = 32/32
rewrite 4 9/32 as 3 41/32
Now subtract:
3 41/32 - 14/32 = 3 27/32 inside diameter.
The base of a rectangle measures 13 inches and the height of the rectangle measures 4 inches. What is the area of the rectangle?
How many more values can be represented by one hexadecimal digit than one binary digit?.
Hexadecimal and binary are two numbering systems that are commonly used in computing. Binary is a base-2 numbering system, which means it uses only two digits, 0 and 1, to represent all numbers. Hexadecimal, on the other hand, is a base-16 numbering system, which means it uses 16 digits, from 0 to 9 and A to F, to represent numbers.
One hexadecimal digit can represent 16 different values, while one binary digit can represent only two values (0 or 1). This means that one hexadecimal digit can represent 16 times as many values as one binary digit.
To understand this better, let's consider an example. The binary number 1111 is equivalent to the hexadecimal number F. In binary, 1111 can represent only one value, which is 15 in decimal. However, in hexadecimal, the digit F can represent 16 different values, from 0 to 15 in decimal.
Therefore, using hexadecimal notation can be more efficient and compact than using binary notation, especially when dealing with large numbers. In addition, hexadecimal is often used in computing to represent memory addresses, color codes, and other values that need to be represented in a compact and easily readable format.
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Two interior angles of a scalene triangle measure 45 and 110 degrees. The third angle measures:
Answer:
25º
Step-by-step explanation:
110+45=155
180-155=25
for what value of k will x+k/x have a relative maximum at x=-2
when k = 4, the function x + k/x will have a relative maximum at x = -2.
To find the value of k that will make x+k/x have a relative maximum at x=-2, we can use the first derivative test.
First, we find the derivative of x+k/x with respect to x:
f'(x) = 1 - k/x^2
Next, we set x = -2 and solve for k to make f'(-2) = 0:
f'(-2) = 1 - k/(-2)^2 = 1 - k/4
1 - k/4 = 0
k = 4
what is derivative?
A derivative is a mathematical concept that represents the rate at which a function changes over time or space. It is the slope of a tangent line to a curve at a particular point.
In other words, the derivative of a function f(x) at a point x=a is defined as the limit of the difference quotient as h approaches zero:
f'(a) = lim[h→0] [f(a+h) - f(a)]/h
The derivative gives us information about how quickly the function is changing at a specific point.
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the teacher calculates the highest score as being 97 and the lowest score as being 75. what is the range?
Answer:
Step-by-step explanation:
if it's talking about between the numbers 75 to 97, then it's 22.
Write as a product: 25a2−0.01b10
Answer:
We conclude that:
\(25a^2-0.01b^{10}=\left(5a+0.1b^5\right)\left(5a-0.1b^5\right)\)
Step-by-step explanation:
Given the expression
\(25a^2-0.01b^{10}\)
Rewrite \(25a^2-0.01b^{10}\) as \(\left(5a\right)^2-\left(\sqrt{0.01}b^5\right)^2\)
so
\(25a^2-0.01b^{10}=\left(5a\right)^2-\left(\sqrt{0.01}b^5\right)^2\)
Apply difference of two squares formulas:
\(x^2-y^2=\left(x+y\right)\left(x-y\right)\)
so
\(\left(5a\right)^2-\left(\sqrt{0.01}b^5\right)^2=\left(5a+\sqrt{0.01}b^5\right)\left(5a-\sqrt{0.01}b^5\right)\)
\(=\left(5a+0.1b^5\right)\left(5a-0.1b^5\right)\) ∵ \(\sqrt{0.01}=0.1\),
Therefore, we conclude that:
\(25a^2-0.01b^{10}=\left(5a+0.1b^5\right)\left(5a-0.1b^5\right)\)
Find the highest common factor (hcf) of 46 and 38
Answer:
2
Step-by-step explanation:
2 is the highest number than multiplies into both 46 and 38
i am lost. there are multiple choices. i chose 54% and it was wrong. it has suggestions at tge bottom. it says to use tree diagram.
From the given information, we know that
\(P(\text{bus and 7pm)=P(bus)}\cdot P(7pm)=0.83\times0.62=0.5146\)because they are independent events. Similarly, we have
\(P(car\text{ and 7pm)=P(car)}\cdot P(7pm)=(1-0.83)\times0.14=0.0238\)Now, we need the conditional probability P(bus | 7pm), which can be given as
\(P(\text{bus}|7pm)=\frac{p(\text{bus and 7pm)}}{\text{p(7pm)}}=\frac{p(\text{bus and 7pm)}}{p(\text{bus and 7pm)}+p(car\text{ and 7pm)}}\)By substituting our result into this last expression, we get
\(P(\text{bus}|7pm)=\frac{0.5146}{0.5146+0.238}=\frac{0.5146}{0.5384}=0.9557\)By rounding up our result, the answer is 0.96, which corresponds to 96 %
at a dinner party, guests were served dishes of soup, rice, and tofu. every dish of soup was shared by two guests, every dish of rice was shared by three guests, and every dish of tofu was shared by four guests. every guest ate from exactly one dish of soup, one dish of rice, and one dish of tofu. if the total number of dishes was 65, then how many guests were there?
In Korea, tofu is typically offered during breakfast.
Describe breakfast.
The first meal of the day, known as breakfast, is often had in the morning. After an overnight fast, it is a crucial meal that gives the body and brain fuel. Protein and carbs are generally found in breakfast foods such eggs, bacon, oatmeal, toast, pancakes, yoghurt, cereal, and fruits. A nutritious breakfast may boost energy levels, jump-start the metabolism, and enhance focus and memory. A nutritious breakfast can also aid in lowering mid-day snacking and preventing overeating in the evening. Make sure to incorporate breakfast in your daily schedule since eating breakfast is crucial to living a healthy lifestyle.
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Complete the statement with < >, or =. square root of -20 -4
Answer:
-20 < -4
Step-by-step explanation:
-4 is greater value then -20 think of it like its on a number line
---------------------------------------------------------------
-5 -4 -3 -2 -1 0 1 2 3 4 5, the lower the negative, the less it will take off of a positive and the more positive value it holds
I need help on these questions
Answer:
Answer 1
Step-by-step explanation:
We can use the communitive property of addition to help us in the problem. 16x-12-24x+4 can be either rearranged or solved. If we were to try to solve it, then it would be 16x-24x-12+4=-8x-8. Now we look at our options. Option 1 says that 4+16x-12(1+2x). Using the distributive property, we conclude 4+16x-12+24x. This is basically rearranging the original question so answer 1 is the correct one.
What add this /6=25/30
Answer:5/6
Step-by-step explanation:
simplify
What is 12% of [(-0.5)x(-1/4)]
First multiply inside the brackets:
-.5 x -1/4 = 0.125
Now multiply by 12%
0.125 x 0.12 = 0.015
answer: 0.015
Answer:
0.015
Step-by-step explanation:
A fast food restaurant asks customers to evaluate the drive-thru service as good, average, or poor. Which level of measurement is this classification
The level of measurement used in the classification is ordinal.
Ordinal levels of measurement group variables into categories like nominal scales, but also convey the order of the variables. For example, rate pain on a scale of 1 to 5, or classify income as high, medium, or low.
An ordinal scale is a second-level measure that indicates the ranking and order of data without actually specifying the degree of variation among the data. The order measurement level is his second of the four measurement scales. "Ordinal" means "order".
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100PT! ABCD is a square. Given only the choices below, which properties would you use to prove AEB ≅ DEC by ASA? (You can choose more than one!)
Opposite angles are congruent.
The diagonals bisect each other.
All sides are congruent.
Opposite sides are parallel.
To prove AEB ≅ DEC by ASA (Angle-Side-Angle), the properties that can be used are:
1. Opposite angles are congruent: This property is necessary to establish that ∠AEB ≅ ∠DEC, as both angles are opposite each other in the square ABCD.2. All sides are congruent: This property is necessary to establish that AE ≅ DE, as both sides are corresponding sides of the square ABCD.So, the properties to use for proving AEB ≅ DEC by ASA are "Opposite angles are congruent" and "All sides are congruent."
\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)
Answer:
To prove AEB ≅ DEC by ASA (Angle-Side-Angle), the properties that can be used are:
1. Opposite angles are congruent: This property is necessary to establish that ∠AEB ≅ ∠DEC, as both angles are opposite each other in the square ABCD.
2. All sides are congruent: This property is necessary to establish that AE ≅ DE, as both sides are corresponding sides of the square ABCD.
So, the properties to use for proving AEB ≅ DEC by ASA are "Opposite angles are congruent" and "All sides are congruent."
Step-by-step explanation:
solve pls brainliest
Answer:
c
Step-by-step explanation:
one degree of latitude is equal to which of the following? 10 minutes 60 seconds 30 seconds 60 minutes
Answer: one degree of latitude is equal to 60 Minutes
Steps- We Know that-
1 min = 60 sec
1 day = 24 hrs
Additionally, The hour hand measures the clock's 360 degree arcs twice throughout the day, i.e.
2*360= 720 degree
1 degree 2*360/12= 60 min
Hence proved 1 degree = 60 Minutes
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For the following time series, you are given the moving average forecast.
Time Period Time Series Value
1 23
2 17
3 17
4 26
5 11
6 23
7 17
Use a three period moving average to compute the mean squared error equals
Which one is correct out of these multiple choices?
a.) 164
b.) 0
c.) 6
d.) 41
The mean squared error equals to c.) 6.
What is the value of the mean squared error?The mean squared error is a measure of the accuracy of a forecast model, indicating the average squared difference between the forecasted values and the actual values in a time series. In this case, a three-period moving average forecast is used.
To compute the mean squared error, we need to calculate the squared difference between each forecasted value and the corresponding actual value, and then take the average of these squared differences.
Using the given time series values and the three-period moving average forecast, we can calculate the squared differences as follows:
(23 - 17)² = 36
(17 - 17)² = 0
(17 - 26)² = 81
(26 - 11)² = 225
(11 - 23)² = 144
(23 - 17)² = 36
(17 - 17)² = 0
Taking the average of these squared differences, we get:
(36 + 0 + 81 + 225 + 144 + 36 + 0) / 7 = 522 / 7 ≈ 74.57
Therefore, the mean squared error is approximately 74.57.
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Question 4 of 5
Use the area of the rectangle to find the area of the triangle
84
O A. The area of the triangle is 14 square feet, because the area of the
rectangle is 28 square feet.
OB. The area of the triangle is 16 square feet, because the area of the
rectangle is 32 square feet.
O C. The area of the triangle is 32 square feet, because the area of the
rectangle is 32 square feet.
OD. The area of the triangle is 16 square feet, because the area of the
rectangle is square feet
Answer:
B
Step-by-step explanation:
the area of the rectangle is 4x8 = 32
the area of each half of the triangle is 4x4/2 = 8.
8x2 = 16.
The triangle is 16, the rectangle is 32
In a circle centered at point o, the ratio of the area of sector aob to the area of the circle is . what is the approximate measure, in radians, of the central angle corresponding to ? round the answer to two decimal places. a. 3.14 b. 3.35 c. 3.62 d. 3.77 e. 3.85
The approximate measure, in radians, of the central angle of the circle corresponding to two decimal places 3.77
In a circle centered at point o, the ratio of the area of sector AOB to the area of the circle. Calculating the measure of central angle
From the question, we are to calculate the measure of the central angle corresponding to arc AB
From the given information, The ratio of the area of sector AOB to the area of the circle is 3/5
The area of a sector is given by the formula,
Area of sector = (θ/360°) *πr² , Where 'θ' is the central angle of the circle and 'r' is the radius of the circle
3/5 = θ/2π
5θ = 6π
θ = (6/5) π
= (6/5) * 3.14159
= 18.85/5
= 3.77
Hence, the approximate measure, in radians, of the central angle of the circle corresponding to two decimal places 3.77
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Answer:
3.77
Step-by-step explanation:
Suppose a city with population 600,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 25 years.
Answer:
15,600,000
Step-by-step explanation:
We start with our initial population of 600,000. Then multiply that with the rate of 4% (0.04 in decimal, or 1.04 so that the 0.04 is automatically added to the 600,000.)
600,000 · 1.04y = projected populationy = 25600,000 · 1.04(25) = projected populationsimplify!15,600,000 = proejcted populationin a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 41 and a standard deviation of 5. using the empirical rule, what is the approximate percentage of daily phone calls numbering between 26 and 56? do not enter the percent symbol.
The approximate percentage of daily phone calls numbering between 26 and 56 is :
99.7%
In a mid-size company with a bell-shaped distribution of phone calls answered by 12 receptionists, the mean is 41 and the standard deviation is 5. Using the empirical rule, we can approximate the percentage of daily phone calls numbering between 26 and 56.
Determine the range in terms of standard deviations from the mean.
- Lower bound: (26 - 41) / 5 = -3 standard deviations
- Upper bound: (56 - 41) / 5 = 3 standard deviations
Apply the empirical rule.
The empirical rule states that for a bell-shaped distribution:
- Approximately 68% of the data falls within 1 standard deviation of the mean.
- Approximately 95% of the data falls within 2 standard deviations of the mean.
- Approximately 99.7% of the data falls within 3 standard deviations of the mean.
Since our range is between -3 and 3 standard deviations from the mean, we can approximate that 99.7% of the daily phone calls answered by the receptionists will number between 26 and 56.
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Given the absolute value function j(x) = |x|, what's the equation that results from translating j(x) right 8 units and up 6 units? Question 9 options: A) j(x) = |x – 8| + 6 B) j(x) = |x + 8| – 6 C) j(x) = |x – 6| + 8 D) j(x) = |x + 8| + 6
The equation that results from translating (j(x) = |x| right 8 units and up 6 units is:
j(x) = |x - 8| + 6
To translate the function (j(x) = |x| right 8 units and up 6 units, we need to modify the expression inside the absolute value function.
The translation right 8 units means we need to replace x with (x - 8).
The translation up 6 units means we need to add 6 to the entire expression.
So the equation that results from translating (j(x) = |x| right 8 units and up 6 units is:
j(x) = |x - 8| + 6
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help me
What is the slope of the line through (-2, 5) and (4, 9)?
A: slope = 2/3
B: slope = 2
C: slope = 3/2
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option A
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(m = \frac{\text{rise}}{\text{run}}\)
⸻⸻⸻⸻
\(m =\frac{9-5}{4+2}\\\\\\\rightarrow \frac{4}{6}\\\\\rightarrow \frac{4/2}{6/2}\\\\\rightarrow \boxed{ \frac{2}{3} }\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Kavitha thought of constructing 2 more rooms in her house. She enquired about the labor. She
came to know that 6 men and 8 women could finish this work in 14 days. But she wish to complete that work in only 10 days. When she enquired, she was told that 8 men and 12 women could
finish the work in 10 days. Find out that how much time would be taken to finish the work if one
man or one woman worked alone ?