The unit rate of the first employee is $29 an hour and the second is $22 an hour.
What is the rate?
Rates are a special type of ratio that incorporates the dimension of time into the denominator. Familiar examples include measurements of speed (miles per hour) or water flow (gallons per minute). Example #1: If a car travels 24 miles in 2 hours, its average speed is a rate of 24 miles/ 2 hours = 12 miles/hr.
We have,
given the two graphs, which show the earnings on the x-axis and time(hr) on the y-axis of both employees working at the same company.
Both earn money at constant rates.
and the points on the graphs are
points on the graph of employee 1 earnings:-
(2, 58) and (3, 87)
the rate of earnings
58/2 = 29
87/3 = 29
points on the graph of employee 2 earnings:-
(1, 22)
the rate of earnings
22/1 = 22
Hence, the unit rate of the first employee is $29 an hour and the second is $22 an hour.
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Plsss help ASAP
200 extra point and brainliest
Answer:
A, B, D
Step-by-step explanation:
Answer:
A, B, D, E
Step-by-step explanation:
1. 100 = 100%, so seeing that there are 55 boys and 45 girls, we can go ahead and turn those into percentages, making this answer correct.
2. Once again, 100 = 100%, so 17 = 17%
3. "10/55 of those" isn't implying this is the boys only, but rather everyone, so this statement is not correct.
4. 10/35 of the students who chose math are girls. We can see that on the graph.
5. 8 + 8 = 16. Those are both the same number and half and half of the boys and girls...
Hope this helped!
Can you help me with number 8
Answer:
A. :)
Step-by-step explanation:
Brainly?
a. a basis for the row space b. a basis for the null space c. the rank of the matrix
⎣
⎡
1
0
−2
4
1
−8
2
1
−4
1
−1
−2
⎦
⎤
The rank of the matrix is equal to the number of nonzero rows in its row-echelon form. In this case, the rank is 2, as there are 2 nonzero rows.
To find the basis for the row space, we can row reduce the matrix. Performing row operations, we can obtain the row-echelon form.
row-echelon form
⎣ 1 0 -2 ⎦
⎡ 0 1 0 ⎤
The nonzero rows of the row-echelon form (1 0 -2) and (0 1 0) form a basis for the row space.
To find the basis for the null space, we need to solve the system of equations Ax = 0, where A is the given matrix. By setting up the augmented matrix and row reducing, we have:
⎣ 1 0 -2 | 0 ⎦
⎡ 4 1 -8 | 0 ⎤
Row reducing further, we obtain:
⎣ 1 0 -2 | 0 ⎦
⎡ 0 1 0 | 0 ⎤
The basic solutions of the system are x = (-2t, 0, t), where t is a parameter. Hence, the basis for the null space is {(−2t, 0, t)}, where t is a nonzero scalar.The rank of the matrix is equal to the number of nonzero rows in its row-echelon form. In this case, the rank is 2, as there are 2 nonzero rows.
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it takes mary 45 minutes to completely frost 100 cupcakes, and it takes benjamin 80 minutes to completely frost 110 cupcakes. how many cupcakes can they completely frost, working together, in 1 hour?
Mary and Benjamin can completely frost a maximum of 215 cupcakes together in one hour.
To find out how many cupcakes Mary and Benjamin can frost together in one hour, we need to determine their individual cupcake-frosting rates and then add them up.
Mary takes 45 minutes to frost 100 cupcakes, so her rate is 100 cupcakes / 45 minutes = 20/9 cupcakes per minute.
Benjamin takes 80 minutes to frost 110 cupcakes, so his rate is 110 cupcakes / 80 minutes = 11/8 cupcakes per minute.
Working together, their combined rate is (20/9 + 11/8) cupcakes per minute.
To convert this rate to cupcakes per hour, we multiply by 60 since there are 60 minutes in an hour:
(20/9 + 11/8) * 60 = (160/72 + 99/72) * 60 = (259/72) * 60 = 3.5972 * 60 = 215.83 cupcakes per hour.
Therefore, Mary and Benjamin can completely frost approximately 215.83 cupcakes together in one hour. Since we can't have a fraction of a cupcake, we round down to the nearest whole number.
Therefore, Mary and Benjamin can completely frost a maximum of 215 cupcakes together in one hour.
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Given the following diagram, name an obtuse angle.
∠ APW
∠ WPB
∠ APZ
∠ ZPW
Answer:
WPB
Step-by-step explanation:
Because it's larger than 90 degrees. And none of the other angles are obtuse.
Answer:
the answer is WPB!!!!!!
Plz help me I need tu turn this is by midnight!!
Answer:
The last answer.
Step-by-step explanation:
It looks to be the correct answer because for the one above you can't simplify 27 by 5.
Please help me with this homework
Can someone help me with this please
Answer: get smart bro
you would know it if you was smart
Step-by-step explanation:
you wont do your work, you always cheat, and you don't listen to the teacher
you need to find the answer out on your own.
P.S. i hope you have a good day :)
Which table represents a linear function?
Answer:
the one in bottom right
Step-by-step explanation:
Question 1 (1 point)
Which of the following is a solution of x < -5?
-5
-10
0
3
Answer:
-10
Step-by-step explanation:
x has to be less in value than -5 and -10 is the only one that is less in value
Hope it Helps!
if this helped can you mark as brainliest?
This year a business hade a profit of $10,000. The profit is expected to increase by 12% each year. What will be the profit in six years?
Answer:
Question 858558: a buisness had $10,000 profit in 2000. then the profit increased by 8% each year for the next 10 years. write a function that models the profit in dollars over time Answer by josmiceli(19441) (Show Source):
What is 115 lbs in kg?
Answer:
115 lbs = 52.16 kilograms
Step-by-step explanation:
115 pounds is a little over 52kg
What is the slope of the line?
- 4x + 7 = 2y - 3
Choose 1 answer:
А.
-3
1
B
B
3
© -2
1
2
Answer:
C, -2
Step-by-step explanation:
-4x + 7 = 2y - 3
-4x + 10 = 2y
-2y = 4x - 10
y = -2x + 5
Which graph represents the equation y equals one half times x minus 1?
graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1
graph of a line passing through the points negative 2 comma 0 and 0 comma 1
graph of a line passing through the points negative 2 comma negative 3 and 0 comma negative 2
graph of a line passing through the points negative 4 comma 0 and 0 comma 2
The correct graph which represents the equation y = 1/2x - 1 is,
⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ y = 1/2x - 1
Now, After draw the equation we get;
Graph of a line passing through the points (-2, - 2) and (0, - 1).
Thus, The correct statement is,
⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.
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whats the radius for the circle? x^2+2x+y^2+4y-6=0
Answer:
r = \(\sqrt{11}\)
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use \((\frac{b}{2} )^{2}\) to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get \((\frac{2}{2} )^{2} =(1)^{2} =1\)
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get \((\frac{4}{2} )^{2}=(2)^{2} =4\)
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides \(\sqrt{r^{2}} =\sqrt{11}\) to get r = \(\sqrt{11}\)
Help would really be appreciated :) A box of a truck has dimensions 1m by 2m by 4m. Explain how this truck was able to carry 9m cubed of sand?
(I'm in the volume unit & will give brainliest)
Answer:
The truck will be able to carry 9m because the volume is 8m.
Step-by-step explanation: The questions give the demensions, so you have to multipy it. 1x2x4 is 8. So it would be able to carry 9m of sand.
Answer:
The shape of the box of the truck is a rectangular prism.
volume = length * width * height
volume = 4 m * 2 m * 1 m = 8 m^3
The volume of the box of the truck is 8 m^3.
One way it can carry more than that volume is if it does not have a roof. Then 8 m^3 can be loaded up to the height of the box, and an extra 1 m^3 can by on top of that, above the sides of the box.
Another way is, if it does have a roof, to fill the inside of the box with 8 m^3 and place an extra 1 m^3 on top of the roof of the box.
what is the approximate yield to maturity of a P7000 bond bearing 6% interest, bought at 90, with 15 years left to maturity?
Consequently, the yield to maturity of a P7000 bond purchased at 90 with 15 years left to maturity is approximately 6.769%.
What is yield of maturity?The rate of return an investor will receive if they hold the bond until maturity is known as the yield to maturity (YTM) of the bond. We need to know a bond's face value, coupon rate, market price, and time until maturity in order to determine its YTM.
Here,
Given :
Face value (FV) equals P7,000
Discount rate is 6%.
Market price as of today (CP) is $90.
15 years is the time to maturity (T).
To determine the YTM, we can use the bond pricing formula:
CP is equal to (FV * C) / (1 + r)T plus (FV / (1 + r)T)
Where:
(FV * Coupon Rate) / 2r = YTMT = time to maturity in years, where C is the annual coupon payment.
The result of solving the equation is 6.769% for the YTM.
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Solve the quadratic equation by completing the square. You MUST use this method for credit.
(from lesson 5.03-4 points)
x² + 14x51=0
What should you add to both sides to complete the square?
Solution(s):
By answering the above question, we may state that Hence, the equation options are: x = -7 ± 7 x = -14 or x = -0
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical proposition that proves the equality of two formulae is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the connection that exists between the two phrases that have been written on opposite sides of a letter. Most of the time, the logos and the particular software match. like in 2x - 4 = 2, for example.
We may use the following formula to find the constant term to add:
c = (b/2)²
where b is the quadratic expression's coefficient for the x term.
Because b = 14 in this instance, we have:
c = (14/2)² = 49
Hence, we must multiply both sides of the equation by 49:
x² + 14x + 51 + 49 = 49 \s(x + 7)
² = 49 \sx + 7 = ±7
Hence, the options are:
x = -7 ± 7 x = -14 or x = -0
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whoever gets first gets brainiest 26 times 98
Answer:
...You get 2,548... :) :)
Do you believe that most people are prepared to engage in intercultural communication? Explain (I need a personal answers 150 words)
Personal beliefs on whether most people are prepared to engage in intercultural communication vary.
It is difficult to make a general statement about whether most people are prepared to engage in intercultural communication, as individuals' readiness and willingness to engage with other cultures can vary significantly.
Some people may naturally possess an open-minded and empathetic mindset, making them more inclined to embrace and understand diverse cultures.
They may actively seek opportunities to engage in intercultural communication, eager to learn and bridge cultural gaps. On the other hand, some individuals may struggle with biases, stereotypes, or a lack of exposure to different cultures, which could hinder their ability to effectively engage in intercultural communication.
It is important to recognize that cultural competence and readiness for intercultural communication can be developed through education, exposure, and self-reflection.
While progress has been made in promoting cultural understanding and inclusivity, there is still work to be done to ensure that a majority of people are adequately prepared to engage in intercultural communication.
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a telephone pole is 24 feet tall
Answer:i honestly dont know just trying to get points
Step-by-step explanation:
Select the procedure that can be used to show the converse of the pythagorean theorem using side lengths chosen from 5cm, 9cm, 12 cm, and 13 cm.
please help I am stuck on this one.
Answer:
It's A
Step-by-step explanation:
The procedure that can be used to show the converse of the Pythagorean theorem is - 'Knowing that \(5^{2}+12^{2}=13^{2}\) draw the 5 cm side and 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.'
The correct answer is an option (D)
What is right triangle?"It is a triangle whose one of the angle measures 90° "
What is converse of the Pythagorean theorem?"If the square of a side of a triangle is equal to the sum of the square of the other two sides, then triangle must be right angle triangle."
For given question,
We have been given the side lengths 5cm, 9cm, 12 cm, and 13 cm.
We need Select the correct procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 5cm, 9cm, 12 cm, and 13 cm.
We can observe that,
\(5^{2} +12^{2}\\ =25+144\\ =169\\=13^2\)
This means, draw the 5 cm side and 12 cm side with a right angle between them. Then, the 13 cm side will fit to form a right triangle.
Therefore, the procedure that can be used to show the converse of the Pythagorean theorem is - 'Knowing that \(5^{2}+12^{2}=13^{2}\) draw the 5 cm side and 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.'
The correct answer is an option (D)
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Which ordered pair, when added to the table , would cause y to no longer be a function of X?
B or a because they are negative numbers
The acceleration of an object (in m/s2) is given by the function a(t) = 6 sin(t). The initial velocity of the object is v(0) = -7 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = Preview b) Find the object's displacement (in meters) from time 0 to time 3. Preview meters c) Find the total distance traveled by the object from time 0 to time Preview meters
a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.
a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.
The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):
v(t) = ∫(6 sin(t)) dt
Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:
v(t) = -6 cos(t) + C
To find the constant C, we use the initial velocity v(0) = -7 m/s:
-7 = -6 cos(0) + C
-7 = -6 + C
C = -1
Therefore, the equation for the object's velocity is:
v(t) = -6 cos(t) - 1
b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:
Displacement = ∫[0,3] (-6 cos(t) - 1) dt
Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:
Displacement = [-6 sin(t) - t] from 0 to 3
Plugging in the upper and lower limits:
Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]
Displacement ≈ -6 sin(3) + 3
Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.
c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:
Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt
Since the absolute value function makes the negative part positive, we can rewrite the equation as:
Total Distance = ∫[0,t] (6 cos(t) + 1) dt
Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:
Total Distance = [6 sin(t) + t] from 0 to t
Plugging in the upper and lower limits:
Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]
Total Distance = 6 sin(t) + t
Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.
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In a room full of twenty students, three of the students have not done their homework. If you choose a student at random, what is the probability that this student has done their homework? 85% 3 20 OOO 15% 1 2
There is a total of 20 students in the classroom.
3 out of 20 did not make their homework, this means that 17 has done their homework.
To calculate the probability of choosing a student at random and that the student has made the homework (H) you have to calculate the quotient of students that made the homework ("success") by the total number of students
\(\begin{gathered} P(H)=\frac{nº\text{successes}}{nº\text{students}} \\ P(H)=\frac{17}{20} \\ P(H)=0.85 \end{gathered}\)Multiply it by 100 to express the result as a percentage
\(\begin{gathered} P(H)=0.85\cdot100 \\ P(H)=85 \end{gathered}\)The probability of choosing a student at random and that his student has made his homework is 85%
State whether the following statement is true or false. The Law of Sines can be used to solve triangles where three sides are known Choose the correct answer below. A. False, because to use the Law of Sines, all three angles must be known B. True, because to use the Law of Sines, all three sides must be known. C. True, because to use the Law of Sines, at least two sides must be known D. False, because to use the Law of Sines, two angles and one side or two sides and one angle must be known.
C. True, because to use the Law of Sines, at least two sides must be known.
The Law of Sines is a trigonometric rule that relates the sides and angles of any triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.
To use the Law of Sines, at least two sides and the angle opposite one of them (or two angles and one side) must be known.
Therefore, the statement "The Law of Sines can be used to solve triangles where three sides are known" is false, as it is not necessary to use the Law of Sines to solve a triangle where all three sides are known.
In summary, the correct answer is C. True, because to use the Law of Sines, at least two sides must be known.
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Simplify 7(x + 3). 7x + 3 7x + 10 7x + 21 x + 21
Answer: 7x+21
HOPE THIS HELPS :>
Step-by-step explanation:
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
PLEASE I NEED HELP
Jerry wants to know what would have a bigger impact on the value of his car long-term, an increased purchase price or decreased depreciation. He decides to compare a purchase price of $50,000 and 20% depreciation (blue graph) with a $35,000 purchase price and 17% depreciation (red graph). He graphs both of the equations. Use this graph to answer the following questions and help him figure it out.
Jerry wants to know what would have a bigger impact on the value of his car long-term, an increased purchase price or decreased depreciation
From the graph, we can see that the blue line (purchase price of $50,000 and 20% depreciation) starts higher on the y-axis than the red line (purchase price of $35,000 and 17% depreciation). This means that initially, the car with the higher purchase price will have a higher value.
However, the blue line has a steeper negative slope, which means that the car's value decreases more rapidly over time. On the other hand, the red line has a shallower negative slope, which means that the car's value decreases more slowly over time.
To determine which factor has a bigger impact on the value of the car long-term, we need to look at the point where the two lines intersect. From the graph, we can see that the two lines intersect at approximately (4.25, $23,075).
This means that after about 4.25 years, the two cars will have the same value of approximately $23,075. After this point, the car with the lower purchase price and slower depreciation (red line) will have a higher value than the car with the higher purchase price and faster depreciation (blue line).
Therefore, in the long-term, a lower purchase price and slower depreciation have a bigger impact on the value of the car than a higher purchase price.
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f the pattern in the table is extended to represent more equivalent ratios for 2:6, which pair of numbers would be in the columns? A multiplication table. In the column labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the column labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. 20 would be in the column for 2, and 60 would be in the column for 6. 20 would be in the column for 6, and 60 would be in the column for 2. 20 would be in the column for 2, and 56 would be in the column for 6. 20 would be in the column for 6, and 56 would be in the column for 2. please hurry im in a rush
The pair of numbers that would be in the columns, considering the proportional relationship, is given as follows:
20 would be in the column for 2, and 60 would be in the column for 6.
What is a proportional relationship?A proportional relationship is a special linear function, with intercept having a value of zero, in which the output variable is obtained with the multiplication of the input variable and the constant of proportionality k, as shown as follows:
y = kx
The table is extended to represent more equivalent ratios for 2:6, hence the constant of the relationship is given as follows:
k = 6/2 = 3.
Hence the equation is:
y = 3x.
The values given by each column are given as follows:
Column 2: values of x.Column 6: values of y.When x = 20, the numeric value of the relationship is of:
y = 3 x 20 = 60.
Hence the first option is correct.
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