Step-by-step explanation:
Charlie's monthly pay, P, can be represented as a linear function of the number of items sold, q. The monthly salary of $2,000 represents the y-intercept of the line, and the commission of $100 per item sold represents the slope of the line.
Thus, the model for Charlie's monthly pay, P(q), can be expressed as:
P(q) = 100q + 2000
where q is the number of items sold in a month, and P(q) is Charlie's monthly pay in dollars.
what is refraction of light
Answer:
Refraction is what happens when light passes through some medium and changes it's direction because of it. For instance, when light travels through a lens light is bent as it goes from air to glass and back to air again. :)
help me answer a. b. c. d. e. and f
Answer:
The correct answer is F hope you have a hood day
Please Give Me The Answer
The area covered by the signal is 181.37 m²
What is the area covered by the signal?Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m
The area of a circle of radius R is given by:
A = 3.14*R²
Then the area of a fourth of a circle is:
A = (3.14/4)*R²
Replacing the value of the radius in the formula we will get:
A = (3.14/4)*(15.2m)² = 181.37 m²
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Solve: (x - 10)² + 10 = 100
Square Roots and Completing the Square.
Answer:
Below
Step-by-step explanation:
(x-10)^2 = 90 sqrt both sides
x-10 = ± sqrt (90)
x = 10 ± sqrt (90)
What is the width of the juice box?
Answer:
3.99928901529
Step-by-step explanation:
multiply 12.5 by 4.5 and you get 56.25 and you divide 225 by 56.25 and you get 3.99928901529
Work is apreciated! If you could also say what shape this is with the formula also!
Answer:
\( \displaystyle V_{ \text{H - prism}} = 351 {yd}^{3} \)
Step-by-step explanation:
we are given a hexagonal prism
we want to figure out the Volume
remember that,
\( \displaystyle V_{ \text{H - prism}} = {a}^{} sh\)
where a is the asymptote ,s is the side length and h is the height
given that,s=9,a=7.8 and h=5
substitute:
\( \displaystyle V_{ \text{H - prism}} = {7.8}^{} \times 9 \times 5\)
simplify multiplication:
\( \displaystyle V_{ \text{H - prism}} = 351\)
hence the Volume of the given figure is 351 yd³
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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Raina must choose a number between 55 and 101 that is a multiple of 2,3 and 9. Write all the numbers that she could choose. If there is more than one number, separate them with commas.
Answer:
72,90
Step-by-step explanation:
Since 9 is the biggest number so list multiples of 9 between 55- 101 range.
Which are 63, 72, 81, 90, 99. Any number that is a multiple of 9 is a multiple of 3 because 3x 3 = 9. 9 is a multiple of 3.
Any even number is a multiple of 2.
Only 72 and 90 are even numbers.
So 72 and 90 are numbers divisible by 2, 3, 9.
A rectangular tabletop will be made of maple
wood that weighs 43 pounds per cubic foot. The
tabletop will have a length of eight feet, a width
of three feet, and a thickness of one inch.
Determine and state the weight of the tabletop,
in pounds.
A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot. The weight of the tabletop, in pounds, is 1032.
What is the volume of the rectangular tabletop?The volume of the rectangular tabletop is the product of the length, breadth, and height of the given tabletop.
Volume of rectangular tabletop= (length x width x height)
The tabletop will have a length of eight feet, a width of three feet, and a thickness of one inch.
Volume of rectangular tabletop= (length x width x height)
= \(8 \times 3 \times 1\\\\24\)
A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot.
The weight of the tabletop, in pounds = 43 x 24
= 1032 pounds
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Malachi asks students in his class, "How long does it take you to get to school?" The histogram
shows the data.
Which statement best describes the distribution?
Answer:
The distribution is symmetric
Step-by-step explanation:
Because in both sides it has the same structure, so that means that the value is the same in both sides
Which of the following points are the solutions to the equation 3 x - 4 y - 8 = 1 2
This is all i can help you
<3
Red
LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( Pythagorean theorem )
Answer:
x=sqrt(7)
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse
x^2 + ( sqrt(7))^2 = (sqrt(14))^2
x^2+7 = 14
x^2 = 14-7
x^2 = 7
Take the square root of each side
sqrt(x^2) = sqrt(7)
x=sqrt(7)
2(p + 19) = 8 im very confused please help
⇒2 will multiply everything in the brackets.
\(2(p)+2(19)=8\\2p+38=8\\\)
⇒Now I will group like terms to solve for p. Note those that cross the equal sign change sign
\(2p=8-38\\2p=-30\\\frac{2p}{2} =\frac{-30}{2} \\p=-15\)
We found that p=-15
Which of the following could be the perimeter of the three squares below?
Answer:
I would say B
Step-by-step explanation:
I have done the calculations and my research matches B
XDDD
a customer lunch cost $9.82 after tax if the customer wants to leave an 18% tip what will the total cost be
Answer:
$11.5876 (please give brainiest)
Step-by-step explanation:
9.82x1.18=11.5876
Evaluate the expression for s = 10, t = –2, and u = 9.
t2u + s = ?
Answer:
46
Step-by-step explanation:
You want to evaluate the expression t²u+s for t=-2, u=9, s=10.
Evaluating an expressionPut the numbers in the places of the corresponding variables, and do the arithmetic.
(-2)²·9 +10 = 4·9 +10 = 36 +10 = 46
The value of the expression is 46.
Can someone please explain step by step on how I solve this equation?
-1 - (-0.25) = ?
Answer: -1 - (-0.25) = -0.75
Step-by-step explanation:
The way you would do that is by first pretending as the negative sign (-), isn't present.
Then do "1 - 0.25".
1.00 - 0.25 = 0.75
After you solved the equation, then we can add the negative sign (-), back into the equation = -1 - (-0.25) = -0.75 ✅
What quadrant is 0 And. . -1 1/2 in or is it on a y- axis or x-axis.
The coordinate pair is between the third and fourth quadrants, on the y-axis.
In which quadrant is the coordinate point?Remember that the quadrants are:
First quadrant: x > 0, y > 0.
Second quadrant: x < 0, y > 0.
Third quadrant: x < 0, y < 0.
Fourth quadrant: x > 0, y < 0.
In this case our coordinate pair is (0, -1/2).
So it will be between the third and fourth quadrants.
And yes, because one of the variables is zero, it is on the y-axis (just between the two quadrants).
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Plzzz help I only have 20 minutes
Answer:
n+6+2n+3+90=180
3n+99=180
3n=81
n=27
33 plus 90+57=180
Answer:
the value of n is 27 degree
Step-by-step explanation:
n+6+2n+3+90=180 degree (being linear pair)
3n+9+90=180
3n=180-99
3n=81
n=81/3
n=27
A linear pair is a pair of adjacent angles formed when two lines intersect.
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
The constant that will be used in Digby's linear inequality will be 8.
What are linear inequalities, exactly?
Inequality is a mathematical statement that states that neither side is equal. When a link causes a non-equal comparison between two expressions, an inequality develops. The inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), replace the equal sign "=" in the sentence. In mathematics, inequalities are classified into three types: polynomial inequalities, rational inequalities, and absolute value inequalities.
The characters '<' and '>' denote severe inequalities, whereas " ≤ and ≥ " denote slack inequalities.
Now,
Given that The temperature during a winter day was less than 8 degrees Fahrenheit.
let x be the temperature in degree Fahrenheit
then the linear inequality to show the statement will be
x<8 where 8 is a constant
Hence,
The constant that will be used in Digby's linear inequality will be 8.
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Answer:
The awnser is 8.
Step-by-step explanation:
i just know<33
Eric walked 1.5 miles on a trail, and then he started jogging at a speed of 5 miles per hour. The total distance Eric walked and jogged is 5.25 miles. How long did he jog?
Eric jogs for 45 minutes.
What is speed?Speed is measured as the ratio of distance to the time in which the distance was covered.
We have,
Eric walked and jogged and the total distance combined:
= 5.25 miles
Distance walked = 1.5 miles
The distance jogged:
= 5.25 - 1.5
= 3.75 miles
Now,
Speed = 5 miles per hour
We can write it as:
1 hour = 5 miles
We need to find 3.75 miles.
Multiply 3.75/5 on both sides.
(3.75 / 5) x 1 hours = 3.75 miles
0.75 hour = 3.75 miles.
This means 45 minutes to jog for 3.75 miles.
Thus Eric jogs for 45 minutes.
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ILL GIVE BRANNIEST TO THE CORRECT ANSWER Find the coordinates of the point
7/10 of the way from A to B.
Answer: X = 8.4 Y= 3.5
Step-by-step explanation:
solve this simultaneous equation: y=3x +2 and y=3x^2 +2x-2
Answer:
x = -1 and x = 4/3
Step-by-step explanation:
y = 3x+2
y = 3x^2+2x-2
You then equate the 1st one to the 2nd:
3x+2 = 3x^2+2x-2
3x^2-x-4 = 0
Solve using quadratic formula you get
x=-1
x=4/3
The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours?
The correct statement is that for each hour, the earnings go up by $7. Option A
What is straight line graph?If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.
We can find the slope of the graph to know as said above;
m = y2 - y1/x2 - x1
m = 14 - 0/2 - 0
m = 7
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SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
what property is 8(6)-8(1)=8(6-1)
Answer:
Distributive Property
Step-by-step explanation:
It states that:-
\( \displaystyle \large{a(b + c) = ab + ac}\)
You can also common factor out a-term and it will become a(b+c).
For 8(6-1), use distributive property which yields:-
8(6)-8(1) = 48-8 = 40
The property is also associated with Common Factor too.
To say it simply, you multiply entire expression b+c with a-term and yields ab+ac.
Answer:
Distributive Property
Step-by-step explanation:
if you divide both sides by 8 you will get 5=5
Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. Sienna wants to know the probability that at least 2 of the colors will be the same. Which of the following is the best simulation? Explain your reason for your answer.
A. Roll a standard number cube 5 times for each trial. Let each number represent a different color. Run 50 trials and find the fraction of times that at least two of the same number are rolled.
B. Create a spinner with 5 equal sections. Label each section with a different color. Spin the spinner 7 times to see if it lands on the same color two or more times.
C. Create a spinner with 7 equal sections. Label each section with a different color. Spin the spinner 5 times for each trial. Run 50 trials and find the fraction of times the spinner lands on the same color two or more times.
D. Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.
The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.
Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.
So, the probability of picking any color at random is
P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.
Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:
P(X ≥ 2) = 1 - P(X < 2).
The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.
Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.
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What is the value of x
Answer: 104
Step-by-step explanation:
Angles at a line are equal to 180 degrees so:
180 = 72 + (x + 4)
180 = x + 76
180 -76 = x + 76 -76
104 = x
Question 3 A 44-metres long fire-fighting ladder is leaned against a building, as shown in the diagram. The base of the ladder is 7 metres from the building and 3 metres above the ground. How high on the building will the ladder reach?
The ladder will reach a Height of approximately 43.46 meters on the building.
To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.
Using the Pythagorean theorem, we can set up the equation:
(Height of the building)^2 + 7^2 = 44^2
Simplifying the equation, we have:
(Height of the building)^2 + 49 = 1936
Subtracting 49 from both sides, we get:
(Height of the building)^2 = 1887
To find the height of the building, we take the square root of both sides:
Height of the building = √1887
Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.
Therefore, the ladder will reach a height of approximately 43.46 meters on the building.
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blake thinks that the mass of a baby mouse will increase similar to what is shown on the graph belowwhat is the value of the independent variable at point A on the graph?
We are given a graph that shows the growth of a baby mouse over time.
On the x-axis, we have independent variable time (in days)
On the y-axis, we have dependent variable mass (in grams)
On the graph, the value of the independent variable at point A is the value of the time (in days)
The graph shows that the mass (in grams) of the baby mouse is increasing as the time (in days) increases.
Let us point out the value on the given graph,
As you can see, the value of the independent variable at point A is 6 days
Therefore, the answer is 6 days