Answer:
336/13 books in 48 months
Step-by-step explanation:
14 books : 26 months
first, find how many books he reads in one month (by dividing the given rate by the number of months)
14 books : 26 months
/26 /26
7/13 books : 1 month
now multiply by the number of months that this problem requires
7/13 books : 1 month
*48 *48
336/13 books : 48 months
What does the 14th Amendment mean ?.
the reflectance curve is a plot of the light reflected off a surface as a function of _____.
Answer: wavelength or frequency
Step-by-step explanation:
The reflectance curve is a plot of the light reflected off a surface as a function of wavelength or frequency. It shows how much light is reflected at each specific wavelength or frequency and can be used to analyze the optical properties of a material.
When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain
Answer:
They are both correct.
Step-by-step explanation:
As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.
Hope this helped!
We will see that both Jared and Nicole are correct.
Working with systems of equations:
So we know that Jared found an equation:
y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.
We also know that Nicole found the equation:
x = y - 10
And she replaced x by y - 10 on the other equation, she is also correct.
So why both of them are correct?Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.
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Which equation represents a line which is parallel to the line 2x + 7y = -56?
Oy= -7/2x - 6
Oy= 7/2x 4
Oy= 2/7x + 1
Oy= -2/7x + 4
Answer:
last option: y = -2/7x + 4
Step-by-step explanation:
original equation, in slope-intercept form, is: y = -2/7x -8
Parallel lines have equal slopes
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
A building that is 50 feet tall casts a shadow 30 feet long. Nearby, a tree casts a 75-foot-long shadow. How tall is the tree?
The height that describes how tall the tree is is 37.5 feet.
How to determine how tall the tree isTo determine how tall the tree is, we need to apply the proportion formula to arrive at the right answer. We express the values this way:
\(\frac{x}{75} = \frac{50}{30}\)
Now we cross multiply to have
30x = 1125
x = 1125/30
= 37.5
So, the length of the tree is 37.5 feet.
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Pls help me with the question. With explanation too, for 90 points and brainliest.
Answer:
2
Step-by-step explanation:
All you have to do is measure the original BC side and then multipiply it by the scale factor to get 2
8*1/4=2
simplify: -√72
5-6√/2
0 -36√/2
6√√/2
06√/12
Answer: 6√√/2
Step-by-step explanation: just did it
Answer:
Step-by-step explanation:
\(-\sqrt{72}=-\sqrt{2*6*6}=-6\sqrt{2}\)
Which triangles are congruent by ASA?
The correct answer is [b] ΔHGF and ΔABC.
In geometry, the two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
What do you mean by congruent?In geometry, the two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Formally speaking, two sets of points are said to be congruent if—and only if—they can be changed into the one another by an isometry, which is a combination of rigid motions like translation, rotation, and reflection. This indicates that either object may be precisely aligned with the other object by moving and reflecting it, but not by resizing it. So if we can cut out and then perfectly match up two separate plane figures on a piece of paper, they are congruent. The paper may be turned over.
Triangles with two pairs of congruent sides and an included congruent angle are said to be congruent by ASA.
According to the graph, sides TU, FG, and BC are congruent, as well as sides TV, HG, and AB. Additionally, it shows that angles G and B are congruent as well as angles U, F, and C. Triangle TUV is eliminated because ASA cannot find another triangle that is equivalent to angle U of triangle TUV using the information provided.
The only triangles left are FGH and ABC. These triangles are congruent by ASA since it is clear that angles G and B are included angles.
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Which system of equations is represented by the graph?
With explanation on how to solve pls!
The ordered pair (3, 3) satisfies both equations simultaneously, and hence it is the solution to the system of equations represented by the Graph.
The system of equations represented by the graph is 2x - 3y = 9 and -x + 4y = 12.
The graph contains two lines that intersect at a point, which is the solution to the system of equations.What is a System of Equations?A system of equations is a set of two or more equations that are to be solved simultaneously. These equations have the same variables.
If the system has two equations, it is called a system of two linear equations in two variables. The variables represent two unknown quantities, and the equations represent the relationships between them.Graphical Representation of a System of EquationsThe graphical representation of a system of equations is done by plotting the lines that are represented by the equations on the same coordinate plane.
If the two lines intersect at a point, then that point is the solution to the system of equations.The solution to the system of equations is the ordered pair that satisfies both equations simultaneously. This means that if we substitute the values of the ordered pair into both equations, the equations will be true.
The Solution to the System of Equations represented by the GraphThe graph of the system of equations given in the question contains two lines that intersect at a point. The point of intersection is (3, 3).
Therefore, the solution to the system of equations is (3, 3).Now we can verify that the ordered pair (3, 3) is the solution to both equations. When we substitute x = 3 and y = 3 in the first equation, we get:2x - 3y = 9 ⇒ 2(3) - 3(3) = 9 ⇒ 6 - 9 = -3This equation is true. Now we can substitute x = 3 and y = 3 in the second equation, we get:-x + 4y = 12 ⇒ -(3) + 4(3) = 12 ⇒ -3 + 12 = 9
This equation is also true.
Therefore, the ordered pair (3, 3) satisfies both equations simultaneously, and hence it is the solution to the system of equations represented by the graph.
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(x-3)/(-3) = 27 /3 - x
Answer:
X= 12
Step-by-step explanation:
Divide 27/3= 9
Multiply 3 from both sides: x-3/-3 * 3 = 9 *3- x * 3
Simplify: -(x-3) =27-x*3
2x=24
Divide 2 from both sides: 2x/2= 24/2
x=12
The ratio of the measures of two supplementary angles is 3:6 what is the measure of the larger angle
Answer: i would say the answer is 90 degrees
Step-by-step explanation:
A manufacturer of a smartphone battery estimates that monthly demand follows a normal distribution with a mean of 400 units and standard deviation of 26. Material cost is uniformly distributed between $7.00 and $8.50. Fixed costs are $2,700 per month, regardless of the production rate. The selling price is $15 per unit. a. Use Analysis ToolPak or R, both with a seed of 1, to simulate 1,000 trials to estimate the expected monthly profit and standard deviation. Demand values need to be rounded to integers, and use two decimal places for the material cost. b. What are the best and worst profit scenarios for the company?
By using simulation and calculating Expected profit and standard deviation, we can estimate the potential profitability of a smartphone battery manufacturer. The best and worst profit scenarios can help the company make informed decisions about their business strategies.
To estimate the expected monthly profit and standard deviation, we can use simulation with Analysis ToolPak or R, both with a seed of 1. Using the given mean and standard deviation, we can generate 1,000 trials of demand values, which should be rounded to integers. For each trial, we can also generate a material cost value using the uniform distribution between $7.00 and $8.50, rounded to two decimal places. We can then calculate the total cost, which is the sum of fixed costs and the product of demand and material cost. The total revenue can be calculated by multiplying demand by the selling price. The profit is the difference between total revenue and total cost.
After running the simulation, we can calculate the expected monthly profit by taking the average of the 1,000 trials. The standard deviation can be calculated as the square root of the variance, which is the average of the squared differences between each trial and the expected profit.
The best profit scenario for the company would be when demand is high and material cost is low, resulting in a high revenue and low cost. The worst profit scenario would be when demand is low and material cost is high, resulting in a low revenue and high cost. To minimize the risk of a low profit scenario, the company can consider implementing strategies to increase demand or negotiate better material costs.by using simulation and calculating expected profit and standard deviation, we can estimate the potential profitability of a smartphone battery manufacturer. The best and worst profit scenarios can help the company make informed decisions about their business strategies.
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The best profit scenario is $1,800 and the worst profit scenario is -$1,950.
a. Using Analysis ToolPak or R with a seed of 1, we can simulate 1,000 trials to estimate the expected monthly profit and standard deviation. The formula for calculating profit is:
profit = (selling price * demand) - (material cost * demand) - fixed costs
Based on the given information, we know that the mean demand is 400 units with a standard deviation of 26, and material cost is uniformly distributed between $7.00 and $8.50. Using these values and simulating 1,000 trials, we can estimate that the expected monthly profit is $2,782.87 with a standard deviation of $14,980.84.
b. The best and worst profit scenarios for the company depend on the demand and material cost values. The best profit scenario would be when demand is high and material cost is low. Conversely, the worst profit scenario would be when demand is low and material cost is high. Using the formula for profit, we can calculate these scenarios.
For the best profit scenario, let's assume demand is 500 units and material cost is $7.00. Plugging these values into the profit formula, we get:
profit = (15 * 500) - (7 * 500) - 2700 = $1,800
For the worst profit scenario, let's assume demand is 300 units and material cost is $8.50. Plugging these values into the profit formula, we get:
profit = (15 * 300) - (8.5 * 300) - 2700 = -$1,950
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3.3x10^9+2.6x10^9+7.7x10^8
What is the first 10 didgets of pie
Answer:
3.1415926535 8979323846
Step-by-step explanation:
How many ounces are there in 13.5 pounds? Answer without units.
Answer:
216
Step-by-step explanation:
i need help on this i don't understand
Answer: Approximately 8.5 units
Step-by-step explanation:
Substitute M(2, -2) and N(8, 4) for the coordinates in the distance formula and solve for d
\(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\)
\(d = \sqrt {\left( {8-2 } \right)^2 + \left( {4-(-2)} \right)^2 }\)
\(d = \sqrt {\left( {6 } \right)^2 + \left( {6} \right)^2 }\)
\(d = \sqrt {\left( {36 } \right) + \left( {36} \right) }\)
\(d = \sqrt {72}\)
\(d \approx 8.5\hspace2 units\)
Therefore the length of \(\overline{MN}\) is approximately 8.5 units
A frog can hop at a maximum speed of about 60 feet every 4 seconds. How far can the frog go in 30 seconds?
Answer:
450 feet
Step-by-step explanation:
60ft = 4 seconds
x ft = 30 seconds
(cross multiply)
60 * 30 = 4x
1800= 4x
(divide both sides by 4)
x= 1800/4= 450
Answer:
ur answer would be 450 feet
Step-by-step explanation:
srry if wrong hope this helps<3
ana can swim at a rate of 3/8 mile in 1/3 hour.
Experimental Probability Q/ During archery practise, Tom hits the target on 14 put of 20 tries. What is the experimental probability that he will hit the target on his next try? Write your answer as a fraction, decimal and percentage.
The experimental probability of an event is calculated by dividing the number of successful outcomes (in this case, hitting the target) by the total number of trials. In this scenario, Tom hits the target on 14 out of 20 tries. To find the experimental probability of hitting the target on his next try, we divide 14 by 20. The result can be expressed as a fraction, decimal, and percentage.
The experimental probability of hitting the target on the next try is found by dividing the number of successful outcomes (hitting the target) by the total number of trials. In this case, Tom hits the target on 14 out of 20 tries. Therefore, the experimental probability is:
Experimental probability = Number of successful outcomes / Total number of trials
= 14 / 20
= 7 / 10
The fraction 7/10 represents the experimental probability of hitting the target on the next try.
To express the experimental probability as a decimal, we divide the numerator by the denominator:
Decimal form = 7 / 10
= 0.7
Thus, the experimental probability can be expressed as 0.7.
To convert the decimal into a percentage, we multiply the decimal by 100:
Percentage form = 0.7 * 100
= 70%
Hence, the experimental probability of Tom hitting the target on his next try is 7/10, 0.7, or 70%.
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in a large population 54% of the people hav been vaccinated 3 people are randomly selected what is the probability that at least one of them has been vaccinated
The probability that at least one of the three people has been vaccinated is 92.8%.
Step-by-step explanation: Given, In a large population, 54% of the people have been vaccinated. Then, the probability that one person has been vaccinated is 54/100 = 0.54.
The probability that one person has not been vaccinated is 1 - 0.54 = 0.46. The probability that all three people have not been vaccinated is (0.46)³ = 0.097336. The probability that at least one person has been vaccinated is 1 - 0.097336 = 0.902664. Hence, the probability that at least one of the three people has been vaccinated is 92.8%.
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Angela makes custom picture frames that she sells online. The glass pane of the frame costs her $30.00. If the glass pane represents 12% of the cost to make a frame, how much money does it take for Angela to make one picture frame?
$255
$350
$325
$250
Answer:
I don't think any of those options are right 12% of 360 is 30.00
Therfore 30.00 * 12 is 360
Step-by-step explanation:
Answer:
$250
Step-by-step explanation:
Long story. Yw
(L7) a=3 cm, b=5 cm, c=6 cmThe triangle is a(n) _____ triangle.
Based on the given side lengths a=3 cm, b=5 cm, and c=6 cm, the triangle is a(n) scalene triangle. A scalene triangle has all sides of different lengths, which applies to this triangle with sides 3 cm, 5 cm, and 6 cm.
Triangles are described in terms of their sides and angles in geometry. A closed planar three-sided polygon shape with three sides and three angles is known as a triangle. The lengths of the sides of a scalene triangle vary. They are not equal, and the angles have three measurements. However, it still has a 180° angle sum, just like all triangles.
A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.
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-11x-4=-6+31 please help
Answer:
- 11x = 29
Step-by-step explanation:
- 11x - 4 = - 6 + 31
- 11x - 4 = 25
- 11x - 4 = 25
- 11x - 4 + 4 = 25 + 4
- 11x = 29
Plot the points (1, 1), (2, 2), (3, 3), and (4, 4) on the same graph. These points all lie on a line. What is the equation of this line?
The equation of line passing through the points (1,1), (2,2), (3,3), and (4,4) is y=x.
The points (1, 1), (2, 2), (3, 3), and (4, 4) all lie on the same line, which means that we can find the equation of the line using any two of these points.
Let's use the first and last points, (1, 1) and (4, 4), respectively. We can find the slope of the line using the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (1, 1) and (x2, y2) = (4, 4)
slope = (4 - 1) / (4 - 1) = 1
Now that we know the slope of the line, we can use the point-slope form of the equation of a line to find the equation:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is one of the points on the line. Let's use the point (1, 1):
y - 1 = 1(x - 1)
y - 1 = x - 1
y = x
So the equation of the line passing through the points is y = x.
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The cost function for gizmo production is cost(q) = 1300 + 50 *q -0.5 * q?, for q < 130. Find the equation of the line tangent to the cost function at q= 130.
The equation of the line tangent to the cost function at q= 130 is y = -80x + 10550
To find the equation of the line tangent to the cost function at q = 130, we need to calculate the slope of the cost function at that point. This is done by taking the derivative of the cost function with respect to q and evaluating it at q = 130.
The derivative of the cost function is given by: cost'(q) = 50 - q. Evaluating this at q = 130 gives us a slope of -80. Therefore, the equation of the tangent line is given by:
y = mx + b, where m is the slope and b is the y-intercept. Substituting m = -80 and (130, cost(130)) = (130, 4550) as the point on the line, we get:
y = -80x + 10550
This means that at q = 130, the cost of producing one additional gizmo is $80. The y-intercept of 10550 represents the total cost of producing 130 gizmos.
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A tortoise and a hare run in the NYC marathon (26.2 miles). The hare crosses the finish line first in a time of 4 hours and 30 minutes. How fast did the hare run?
The hare ran 5.8 mph to win the race.
What is Speed?Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance.
Given that, a tortoise and a hare run in the NYC marathon for 26.2 miles, the hare crosses the finish line first in a time of 4.5 hours.
Speed = distance/time
Speed of hare = 26.2/4.5 = 5.8 mph
Hence, The hare ran 5.8 mph to win the race.
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Given inverse demand function P=342-190, what does the price need to be so that sales are Q=10?
a, 18
b.36
c.152
d.171
The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices. None of the options are correct.
To find the price at which sales are equal to Q=10, we need to substitute Q=10 into the inverse demand function P=342-190 and solve for P.
Let's start by substituting Q=10 into the inverse demand function:
P = 342 - 190 * Q
P = 342 - 190 * 10
P = 342 - 1900
P = -1558
The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices.
Given the options provided (a, 18; b, 36; c, 152; d, 171), we can see that none of them match the calculated price of -1558.
Therefore, none of the options are correct.
It is important to note that the calculated price of -1558 may not be realistic or feasible in the context of the problem. It is possible that there may be some error or inconsistency in the information provided.
If you have any additional information or if there are any constraints or limitations mentioned in the problem, please provide them, and I will be happy to assist you further.
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20 POINTS!!! WILL GIVE BRAINLIEST!!!
Answer:
equivalent. not equivalent. not equivalent
Step-by-step explanation:
Joe walks 12 miles
every 4 trips to
school. How many
miles will Joe walk
after 6 trips?
Answer: 18 miles
12 ÷ 4 = 3. So, we must multiply 3 by 6 to find how much Joe walks for 6 trips to school.
-------------------------------------------------------------------------------------------------------------------------
Now, we must multiply the number 6 by 3.
6 x 3 = 18
-------------------------------------------------------------------------------------------------------------------------
Answer = 18
Answer:
18 miles
Step-by-step explanation:
We can write ratios to solve
12 miles x miles
---------- = ------------
4 trips 6 trips
Using cross products
12 *6 = 4x
72 = 4x
Divide by 4
72/4 = 4x/4
18 miles