Please help:The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.Which statements are true based on the model?Select each correct answer.Maximum profits are earned when there are 4 clerks working.The store earns profits when no clerks are working.Maximum profits are earned when there are 7 clerks working.The store earns about $400,000 in profits on its best days.The store loses money when 8 or more clerks are working.
Answers
SOLUTION
The image below will help in answering the following questions
Now, from the graph, the parts above the horizontal line represents profit, while the part below the horizontal line represents loss.
(a) Maximum profits are earned when there are 4 clerks working.
From the graph, we can see that this statement is CORRECT. The maximum profit is at 400 thousand dollars and takes place at 4 on the horizontal axis, this 4 represents 4 clerks working
(b) The store earns profits when no clerks are working.
No clerks are working when we consider 0 on the horizontal plane. From the picture above, tracing 0, it shows us something below the horizontal line which represents loss. So, this statement is INCORRECT. When no clerks work, there is a loss not profit
(c) Maximum profits are earned when there are 7 clerks working.
Tracing 7 from the graph, it doesn't fall on the top part of the curve which indicates maximum profit. Hence, this statement is INCORRECT.
d) The store earns about $400,000 in profits on its best days.
From the image above, we can see that this is correct.
(e) The store loses money when 8 or more clerks are working.
When we traced 8 from the horizontal line, it fell to the part of the graph which indicated loss.
Hence this is CORRECTstatement .
So you will select the 1st, 4th and 5th options
Related Questions
There are 32 students in math class. The past fail ratio of the students in class is 7:1. how many students have failing grades
Answers
Answer:
Four Students have failing grades, with a remainder of 4.
28:4 R:4
Step-by-step explanation:
With 32 students in the class. A 7:1 ratio doesn't work perfectly. 7*4=28. 28:4.
32 students - 28 possible students to fail = 4 Remainder since 7:1 ratio doesn't fulfill 32 students.
What number is 0.5% of 8
Answers
Answer:
0.5%=0.5/100
0.5/100×8=0.04
How do I solve for part b
Answers
The east distance from town to house is 6.464 miles.
STEP - BY - STEP EXPLANATION
What to find? The east distance from town to house.
To solve;
Let us first make a sketch to get the clearer picture of the problem.
Attach below is the sketch.
Observe that the house is far east of the center of the town= 3miles + x
We need to find the value of x.
Using Pythagoras theorem;
hypotenuse²= adjacent² + opposite²
From the diagram above,
hypotenuse = 4
adjacent=x
opposite=2
Substitute the values into the formula and solve for x.
4² =x² + 2²
16 = x²+4
Subtract 4 from both-side of the equation.
x²=16 - 4
x²=12
Take the square root of both-side of the equation.
x = 3.464
But recall that, the east distance from town to house = 3+ x
Substitute the value of x.
Hence, the east distance from town to house = 3+ 3.464 = 6.464 miles
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are . . . and ,
Answers
The two numbers are mathematically given as
12 and 60
This is further explained below.
What is HCF?Generally, To determine the highest common factor, or HCF, you must first locate all of the common factors shared by the two integers and then choose the factor that is the greatest.
In conclusion, The lowest number that contributes to your LCM is 12, which is the number that is involved.
The number 60 is the highest one involved, and it is used to determine your HCF and GCF.
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At LevelSolve for the variable. Round to 2 decimal places. (Make sure your calculator is set on degrees!)37°37Х
Answers
The skeletal system is not responsible for which of the following?
Answer now
Answers
Answer:
D
Step-by-step explanation:
D is managed by the circulatory system; all the others are done by skeletal system (blood cells are made in the bone marrow BTW).
Find the greatest common factor (GCF) of 5 and 16. Which list shows the factors of 5? 1,5 1,10 1,5, 10
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
5 , 16
GCF = ?
Step 02:
GCF:
5: 5
5 | 5
1
16: 2^4
16 | 2
8 | 2
4 | 2
2 | 2
1
GCF = 1
The answer is:
The greatest common factor is 1
On a coordinate plane, point A is located (-2,2) and point B is located at (6,-1). Determine the coordinates of the point that is 7/8 of the distance from a to b
Answers
The coordinates of the point that is 7/8 of the distance from A to B is (5, -5/8)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
point A is located (-2,2) and point B is located at (6,-1). Let O(x, y) represent the point that is 7/8 of the distance from a to b, hence:
x = (7/8)(6 - (-2)) + (-2) = 5
y = (7/8)(-1-2) + 2 = -5/8
Point O = (5, 5/8)
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Question is stated in picture. Don’t forget to round to nearest tenth.
Answers
In order to calculate the volume of the cone, we can use the formula:
[tex]V=\frac{1}{3}\pi\cdot r^2\cdot h[/tex]Where r is the base radius and h is the height.
So, using r = 3 and h = 4, we have:
[tex]\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot3^2\cdot4 \\ V=37.68 \end{gathered}[/tex]Therefore the volume is 37.68 units³.
30in 10in 10in 30in 20in area of irregular figures
Answers
Answer:
Explanation:
he arrow comprises of two sshapes
• A rectangle with dimensions 30 inches by 20 inches.
,• A triangle with a base of 40 inches and a height of 30 inches.
Thus:
[tex]\begin{gathered} \text{Area}=\text{Area of Rectangle+Area of Triangle} \\ =(l\times w)+(\frac{1}{2}bh) \\ =(30\times20)+(\frac{1}{2}\times40\times30) \\ =600+600 \\ =1200\; in^2 \end{gathered}[/tex]The area of the arrow is 1200 square inches.
Simplify (9-2/square root of 9)^-2 +(1-6)^2
Answers
Answer: [tex](\sqrt{9}-2 )^{-2} = 1 \\ (1-6)^{2}=(-5)^{2} = 25\\ 1+25=26[/tex]
26
Step-by-step explanation:
1) First, lets solve the first part --> (√9 - 2)^-2 will make 1.
2) Then, --> (1-6)^2= (-5)^2= 25
3) Sum this up --> 1+25=26.
Hope all clear!!
A circle is shown below.
Diameter line YZ is parallel to chord line WX. WX= 50. What is XZ?
A) 25
B) 50
C) 65
D) 130
Answers
Since line YZ is parallel to chord line WX and the length of WX is 50, then the length of XZ must be half of WX, which is A) 25.
What is parallel?Parallel refers to the concept of running multiple processes at the same time. It is often used in computing and engineering to describe the process of running multiple operations simultaneously. It is also used to refer to multiple paths of data or information travelling in the same direction, such as in a computer network. Parallel computing is a form of computation in which multiple processes are run concurrently, either on the same computer or across multiple computers. This allows for faster execution of tasks and better utilization of resources, such as processors and memory.
Since diameter line YZ is parallel to chord line WX, we can use the property of parallel lines that the opposite angles are equal. Thus, we have:
angle ZWX = angle ZYX (corresponding angles)
angle ZYX = 90 degrees (as YZ is a diameter)
angle ZWX = 90 degrees (as WZ is a chord of the circle)
Therefore, triangle WZX is a right triangle with right angle at Z. Using the Pythagorean theorem, we can find the length of XZ as:
[tex]XZ^2 = WX^2 - WZ^2[/tex]
[tex]XZ^2 = 50^2 - (YZ/2)^2[/tex] (as YZ is the diameter and WZ = YZ/2)
[tex]XZ^2 = 2500 - YZ^2/4[/tex]
[tex]XZ^2 = 2500 - (XZ^2/4)[/tex](as YZ = 2XZ)
[tex]5XZ^2/4[/tex] [tex]= 2500[/tex]
[tex]XZ^2 = 2000[/tex]
[tex]XZ = (2000) = 20(5)[/tex]
Therefore, the length of XZ is approximately 44.72 units, which is not one of the answer choices. However, if we assume that the diameter YZ is 100 units (so that WZ = 50 units), then [tex]XZ^2 = 50^2 - 25^2 = 1875[/tex], and [tex]XZ = (1875) = 25(3)[/tex]. This value is approximately 43.30 units, which is closest to answer choice (A) 25. Therefore, the answer is (A) 25.
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how could you use the relationship between addition and subtraction with counting up to find 3 1/4 - 1 3/4
Answers
Answer:
1 1/2
Explanation:
We can illustrate the relationship between addition and subtraction using the following example:
If we have 5 - 3 = 2, then we can say that 2 + 3 = 5
So, in this case, the result of 3 1/4 - 1 3/4 is a number that added to 1 3/4 is equal to 3 1/4. Then, the answer will be 1 2/4 because:
[tex]1\frac{3}{4}+1\frac{2}{4}=\frac{7}{4}+\frac{6}{4}=\frac{13}{4}=3\frac{1}{4}[/tex]Because 1 3/4 is equivalent to 7/4 and 1 2/4 is equivalent to 6/4.
Finally, 2/4 is equivalent to 1/2, so we can rewrite the result 1 2/4 as follows:
1 2/4 = 1 1/2
Therefore, the answer is 1 1/2
My new music player has a capacity of 360 gigabytes.
Rewrite the following statement using a number in scientific notation.
Answers
Answer: My new music player has a capacity of 3.6*10^11 bytes.
Step-by-step explanation: Scientific notation of a number is going to be in the form of a*10^b where a is a number greater than 1 but less than 10 which is then multiplied by the appropriate power of 10 so that the numbers are equal. This allows us to see numbers concisely without getting distracted by the sheer number of zeroes in some numbers. For 360, since 3.6 is between 1 and 10, we use that for a. To get 3.6 to equal 360 you have to move the decimal two places to the right, or multiply by 10^2, so b=2. Since this is in gigabytes, and giga=10^9, to express the answer in bytes we just multiply 10^2 to 10^9=10^11
Hope this helps
Need help with number three
Answers
Step 1
Given;
[tex]n^2+16n+82=10[/tex]Required to solve the problem using completing the square method
Step 2
Move 10 to the left.
[tex]n^2+16n+82-10=0[/tex]Simplify
[tex]n^2+16n+72=0[/tex]Step 3
Add 64 and subtract 64
[tex]n^2+16n+72=n^2+16n+72+64-64[/tex]Step 4
Complete the square
[tex]8+(n^2+16n+64)=\text{ }8+(n+8)^2[/tex]Step 5
Find the value of n
[tex]\begin{gathered} 8+(n+8)^2=0 \\ (n+8)^2=-8 \\ n+8=\pm\sqrt[]{-8} \\ \end{gathered}[/tex][tex]\begin{gathered} n=\text{ -8}\pm\sqrt[]{-8} \\ n=-8\pm\sqrt[]{8}i \\ n=-8\pm2\sqrt[]{2}i \\ n=-8+(2\sqrt[]{2})i \\ or \\ n=-8-(2\sqrt[]{2})i \end{gathered}[/tex]Hence,
n= -8+(2√2)i
or
n= -8-(2√2)i
Explain why when multiplying powers you add rather than multiply the exponents.
Answers
Step-by-step explanation:
Because it follows the law of indices which states
A^b × B^b = A × B ^ b +b = A × B ^ 2b.
So, this is true for all real numbers.
Which is the equation of the line parallel to the line y=-x + 2 through the point (3,5)?
Answers
Answer:
C. y = −x + 8
Step-by-step explanation:
Use point-slope form: y − b = m(x − a) where (a,b) is a point on the line
To do this, first identify the slope of the line from the given equation because having the same slope as the given equation is what makes the constructed line parallel to it.
m = −1
Then use the point (3,5) to construct an equation using point-slope form.
y − 5 = −1(x − 3)
Distribute:
y − 5 = −x + 3
and isolate y.
y = −x + 8
So the answer is C, y = −x + 8.
Given the radius r of a sphere, calculate it's volume V using the formula V = Calculate V when r = 2 feet and use 7 = 3.14. Round your answer to two decimal
Answers
Solution
The volume of a sphere is given by:
[tex]V=\frac{4}{3}r^3\pi^{}[/tex]And replacing the info given we got:
[tex]V=\frac{4}{3}\cdot(2ft)^3(3.14)=33.49ft^3[/tex]Then the final answer would be 33.49 ft3
Anyone know how to find the frequency for this?
Answers
The frequency of specific five classes (67, 68, 69, 70, and 71) will occur a total of 19 times.
What do we mean by frequency?The frequency of a given data value is the number of times it occurs.The frequency of a data value is represented by f.For instance, if five students received As in science, the frequency of grade A is said to be five.So, the frequency for the particular 5 classes is as follows:
4 times in 67.6 times in 68.4 times in 69.4 times in 70. 1 time in 71.The following five classes will appear most frequently overall:
4 + 6 + 4 + 4 + 1 = 19Therefore, the frequency of specific five classes (67, 68, 69, 70, and 71) will occur a total of 19 times.
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Sandra Had 1/4 of a roll of ribbon if she makes 3 bows how much ribbon did she use on each roll
Answers
Let's begin by listing out the information given to us:
Sandra has 1/4 of a roll of ribbon
To make 3 bows, she will use the amount of ribbon shown below:
[tex]n=\frac{1}{4}\cdot3=\frac{3}{4}RibbonRoll[/tex]Moving Objects . 20 А Distance (m) 10 B o 20 10 Time (s) 3. The graph shows two objects moving at a constant speed. Use the graph to compare the unit rates.
Answers
line A and line B are showing that object A and B are moving with a different rate.
they both are moving with constant speed but we can see that line A has a large slope as compare to line B, that means object A has more speed than the object B.
so the speed of object A is greater than the object B.
The 70th term of an arithmetic sequence is 115.5 and the common difference is 1.5. What is the first term of the sequence?
Answers
The 70th term of an arithmetic sequence is 115.5 and the common difference is 1.5 the first term of the sequence 12.
Common distinctionFormula\sa {n}=a {1}+(n-1) The nth term in the series is d a n.
The first term present in the sequence is a 1.
d is the common distinction between the terms.
an = a1 + (n-1)d
⇒ a1 = an - (n-1)d
= a70 - (70-1) (1.5)
= 115.5 - 69 (1.5)
= 12
What in mathematics is an arithmetic sequence?The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive terms is always two, so the sequence 3, 5, 7, 9... is arithmetic.
How can an arithmetic sequence be found?The formula for an arithmetic sequence is given as an=a1+(n1)d, where n is a general term, a1 a 1 is the initial term, and d is the common difference. To find the general word in the series, do this.
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If P is the midpoint of __. SP = x + 4, and ST = 4x, determine the length of __.
Answers
we have the segment ST
see the attached figure to better understand
ST=SP+PT -----> by addition segments postulate
P is the midpoint
that means
SP=PT
therefore
ST=2SP
substitute given values
4x=2(x+4)
4x=2x+8
4x-2x=8
2x=8
x=4
the length of segment ST is 4(4)=16 units
therefore
the answer is
If P is the midpoint of ST. SP = x + 4, and ST = 4x, determine the length of ST.
ST=16 units
SP=8 units
I went to Old Navy and found a pair of pants on sale for $24. This price was 15% off the original price. What was the original price?
Answers
The original price of the pants is $28.23
Let the original price of the pants be 100x
Then, the discount given will be 15x
and the sale price would be 85x
According to the question, the sale price given is 24
So,
85x = 24
x = 24÷85
x= 0.2823
Therefore,
100x = 100*0.2823
= 28.23
Hence, the original price of the pants is $28.23
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PLEASE HELP I DONT UNDERSTAND
Answers
(a) The angles are exterior angles.
(b) The angles are alternate exterior angles and are equal to each other.
(C) The value of x is 6 and the measure of angle 27x - 5 is equal to 130°.
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Two parallel lines and a transversal cutting them are given. The two angles are 130° and 27x - 5.
Both angles are exterior angles.
The angles 130° and 27x - 5 are alternate exterior angles and are equal.
Now,
130° = 27x - 5
Adding 5 on each side.
27x - 5 + 5 = 130 + 5
27x = 135
Dividing each side by 27
x = 5°
Therefore, substituting the value of x.
27x - 5 = 27(5) - 5 = 135 - 5 = 130°
Hence, the measure of angle 27x 0 5 = 130°
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Suppose you're conducting a hypothesis test for one mean, the significance level is , and the P-value is 0.30. Should you reject or fail to reject , and why?
Answers
The significance level is less than p-value, so we will fail to reject the hypothesis test.
Given,
Conducting a hypothesis test for one mean
The significance level, α = 0.05
The p-value = 0.30
We have to find the test is reject or fail to reject.
If the significance level is greater than p-value, we will reject the hypothesis test.
If the significance level is less than p-value, we will fail to reject the hypothesis test.
Here,
The significance level, α is 0.05 and the p-value is 0.30
Lets see,
The significance level is less than the p-value.
That is,
0.05 < 0.30
So, we will fail to reject the hypothesis test
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The depth of a local lake averages 26 ft, which is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|. What is the difference between the depths in February and July?
21 feet
23 feet
8 feet
13 feet
Answers
The difference between the depths in February and July is D. 13 feet.
How to illustrate the information?According to the information supplied, the symbol for the average depth of a nearby lake, which is 26 feet, is |26|. It was 5 feet deep in February, or |5|, and 18 feet deep in July, or |18|. As a result, it is important to remember that the depth in July is -18.
Consequently, the variation in depth between February and July will be
= -5 - (-18)
= -5 + 18
= 13
The depth is 13 feet as a result.
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Hello, can you help me with problem? To understand it I need help thanks
Answers
Solution:
The student with the correct objective function and constraints is Dontavious.
her vertices for the correct feasible region is;
[tex](0,8),(3,4),(6,0)[/tex]he minimum cost of transportation for the field trip is; at (3,4) because it follows the constraint;
[tex]\begin{gathered} x+y\le7 \\ \\ \text{Other regions are above 7} \end{gathered}[/tex]Hence,
[tex]\begin{gathered} C=300x+200y \\ C=300(3)+200(4) \\ C=900+800 \\ C=\text{ \$1700} \end{gathered}[/tex]Therefore, the minimum cost is $1,700
A hot object being made colder is heat transfer
O True
O False
Answers
Help me solve F,G,H please
Answers
(f) 53/157
157 people were loyal for less than a year, 53 of which were from the South.
(g) 433/465
465-32=433 people were loyal for at least 1 year out of the 465 people from the East.
(h) 335/376
376-41=355 people were loyal for at least 1 year out of the 376 people from the West.