Answer:
yes your answer is correct
Step-by-step explanation:
<3 and <4 are vertical. m<3=5x+22 and m<4=7x+2. Find the measure of each angl.
Answer:
72°
Step-by-step explanation:
Vertical angles are congruent.
m∠3 = m∠4
7x + 2 = 5x + 22
2x = 20
x = 10
m∠3 = m∠4 = 72°
-4x +6 greater than 18
Answer:
x > -3
Step-by-step explanation:
-4x+6>18 (take 6 to the other side)
-4x>18-6
-4x>12 divide both sides by -4
x> -3
Answer:
x > -3
Step-by-step explanation:
-4x+6>18 (take 6 to the other side)
-4x>18-6
-4x>12 divide both sides by -4
x> -3
Simplify the expression. √8/81
The value of the given expression √8/81 = 2√2/81.
What is square root of a number?The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. The equation a a = b is true if 'a' is the square root of 'b'. Every integer has two square roots, one of a positive value and one of a negative value, because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2.
Given that,
√8/81
We can write the value of √8 = √(2)(2)(2) = 2√2.
Thus, we have the value of √8/81 = 2√2/81.
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How many 4-digit passcodes can be created if each digit can be any number, 0-9?
6,561
10,000
40
5,040
Answer:
6,561
that's a good number
0 thru 9 is 10 numbers.
Each digit can be 1 of 10 numbers:
Total combinations = 10 x 10 x 10 x 10 = 10,000
Answer: 10,000
A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.
See picture
Part A: What is the height of the base? Show your work. (5 points)
Part B: What is the approximate amount of cardboard used to make the candy
box? Explain how you got your answer. (5 points)
Assuming a thickness of 1 millimeter for the cardboard, the amount of cardboard utilized to build the candy box is roughly 240 cubic centimeters.
What is volume?Volume is the quantity of space in a 3D object in arithmetic. A fish tank, for example, is 3 feet long, 1 foot wide, and 2 feet tall. To calculate the volume, multiply the length by the breadth by the height, which is 3x1x2, which is six. As a result, the fish tank has a volume of 6 cubic feet.
Here,
Part A: To find the height of the base, we need to use the formula for the volume of a triangular prism:
V = Bh/2,
where B is the area of the base and h is the height.
We can assume the base of the triangular prism is an equilateral triangle with side length s. The area of an equilateral triangle can be found using the formula:
B = (s² * √(3))/4
We can use this formula to find the side length of the triangle:
s = √((4B)/(√(3)))
Substituting the known values, we have:
1200 = (s² * √(3))/2 * h
solving for h:
h = 1200 * 2 / (s² * √(3))
Substituting the value for s:
h = 1200 * 2 / ((√((4B)/(√(3)))² * √(3))
h = 1200 * 2 / (((4B)/(√(3))) * √(3))
h = 1200 * 2 / (4B)
h = 300 / B
We can find the value of B using the formula:
B = (s² * √(3))/4
Substituting the value for s:
B = (√((4B)/(√(3)))² * √(3))/4
B = (4B)/(3 * √(3))
B = 4B / (√(9))
B = 4B / 3
Solving for B:
B = 300 / h
So, the height of the base is approximately 30 cm.
Part B: To find the amount of cardboard used to make the candy box, we need to find the surface area of the triangular prism and multiply it by the thickness of the cardboard.
The surface area of a triangular prism can be found using the formula:
A = B + Bs + Bh
Where B is the area of the base, Bs is the area of the side of the triangular prism and Bh is the area of the top and bottom of the triangular prism.
We know that B = (s² * √(3))/4 and Bh = B, so
A = B + Bs + Bh = B + 2Bh = 2B + 2Bs
The surface area of the triangular prism is approximately 240 square centimeters.
Assuming the cardboard has a thickness of 1 millimeter, the amount of cardboard used to make the candy box is approximately 240 cubic centimeters.
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(15 PTS answer asap pls) Can someone explain how I got this wrong? I´m too scared to ask my teacher because we´ve moved on already
Answer:
You got it wrong because you didn't distribute the 7 to the 3j.
Step-by-step explanation:
The answer should be 21j +70.
Answer:
In your original answer, you did not distribute the 7 to the 3j
Step-by-step explanation:
The distributive property basically states that the sum of any variables multiplied by a factor is equal to the sum of each product of every individual variable and the factor.
In short,
a(b+c) = ab + ac
or
x(y + w + z) = xy + xw + xz
or
9m + 9n = 9 (m+n)
Therefore, in order to solve 7(3j + 10)
you must multiply 7 by 3j and 7 by 10
(7 * 3j) + (7 * 10) = 21j + 70
Since 70 does not have the same terms as 21j (70 does not have j),
21j + 70 is in its most simplified form.
In your original answer, you didn't multiply the 3j by 7.
Susan made $550 baby sitting during the summer. She made $256 helping her grandmother working on the farm She spent $175 on a new dress. Which number sentence could be used to find how much money Susan had left?
1. $550 - $256 + $75
2. $550 - $256 - $75
3. $550 + $256 + $75
4. $550 + $256 + $75
A television is advertised as having a 65-inch measurement. Brenan measures the width of the television while at the store and finds that it is 57 inches wide.
If the space where Brenan plans to hang the television is 32 inches high, will he have enough vertical space to hang the 65-inch television?
Answer: the answer would be C
Yes, the television is approximately 8 inches shorter than the space.
Step-by-step explanation: My name is Ebenezer Haile
Which values are solutions to the inequality below? Check all that apply.
V > 16
Answer:
A and F
Step-by-step explanation:
A because 16x16 is 256
anything below 256 will not work
Mr. Cho received a container of fresh eggs. He sold 1/3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
found that 1/4
of the eggs were not sold. How many eggs did he receive in
the beginning?
Mr. Cho received 3840 eggs in the beginning.
Let's assume that Mr. Cho received x eggs in the beginning.
In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.
In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.
At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:
3/4 × x = 2/3 × x - 320
Multiplying both sides by 12, we get:
9x = 8x - 3840
Simplifying, we get:
x = 3840
Therefore, Mr. Cho received 3840 eggs in the beginning.
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A pyramid has a volume of 1,994 inches cubed and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid?
Answer:D)36
Step-by-step explanation:
Took the test
pls help me with this math question pls
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
Triangle fixed value = 180= 180 - (112 + 47)
= 180 - 159
= 21
Hope it helps you,
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Solve for a. Solve for b.
PLZZZZ I NEED HELP ASAP
Answer:
a=38.21321°
b=14.61693
Step-by-step explanation:
Use cosine rule (c²=a²+b²-2abcosy), where y is the angle, c is the side opposite the angle and a and b are the other two sides.
c²=a²+b²-2abcosy
5²=7²+3²-2(7)(3)cosa
25=49+9-42cosa
42cosa=33
cosa=0.78571428571
a=38.21321°
c²=a²+b²-2abcosy
b=√(15²+9²-2(15)(9)cos70)
b=14.61693
11. The revenue from selling a jet-skis is R(x) = 6800x - 24. The total cost is C(x) = 1700 * 12x.
A. Write a function P(x) that gives the total profit earned.
B. At what quantity will the profit be maximized?
A. The total profit earned is P(x) = -13600x - 24. B. The quantity at which the profit is maximized is 3.
Describe Profit?Profit is a financial metric that represents the amount of money a business earns after subtracting its expenses and costs from its revenue. It is the positive difference between the revenue and the total cost of producing and selling a product or service.
Profit is a key indicator of the financial health of a business, as it reflects the ability of the business to generate income and manage its expenses effectively. A business that earns a profit is able to invest in growth opportunities, pay dividends to shareholders, and build a financial cushion for future expenses and emergencies.
Profit can be expressed as an absolute dollar amount or as a percentage of revenue, known as profit margin. Profit margin is calculated by dividing the profit by the revenue and multiplying the result by 100%. It represents the percentage of revenue that a business keeps as profit after paying its expenses and costs.
A. To find the total profit earned, we need to subtract the total cost from the total revenue:
P(x) = R(x) - C(x)
P(x) = 6800x - 24 - (1700 * 12x)
P(x) = 6800x - 24 - 20400x
P(x) = -13600x - 24
Therefore, the function that gives the total profit earned is P(x) = -13600x - 24.
B. To find the quantity at which profit is maximized, we need to find the value of x that maximizes the profit function P(x).
The profit function is a linear function with a negative slope (-13600), which means that the profit decreases as the quantity of jet-skis sold increases. Thereforte, the profit will be maximized at the lowest possible value of x.
We need to ensure that the value of x satisfies the constraints of the problem. The quantity x represents the number of jet-skis sold, so it must be a positive integer.
The total cost function is C(x) = 1700 * 12x, which means that the fixed cost is $20,400 (1700 * 12). This fixed cost must be covered by the revenue from selling the jet-skis.
The revenue from selling one jet-ski is R(x) = 6800x - 24. To cover the fixed cost, we need to find the value of x that satisfies the following inequality:
6800x - 24 ≥ 20400
Simplifying this inequality, we get:
6800x ≥ 20424
x ≥ 3
Therefore, the quantity must be at least 3 for the profit to cover the fixed cost.
Since x must be a positive integer, the value of x that maximizes the profit is 3.
To confirm this, we can calculate the profit at x = 2 and x = 3:
P(2) = -13600(2) - 24 = -27224
P(3) = -13600(3) - 24 = -40824
We can see that the profit is greater when x = 3, so the quantity at which the profit is maximized is 3.
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Identify the steps to find the value of the inverse ( Please show your work thank you) ↓
The value of the inverse of the equation is this: x³ -3 = y
How to find the inverse of the equationTo find the inverse of the equation follow these steps:
1. Replace H(x) with y.
y = (x + 4)³ - 1
2. Interchange the values of X and Y.
X = (y + 4)³ - 1
3. Find the cube root of both sides
x³ = y + 4 - 1
4. Find the value of y
x³ - 4 + 1 = y
x³ -3 = y
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Rewrite the equation `6y=2x+12`into slope intercept form.
Answer:
y=1/3x+2
Step-by-step explanation:
................
Answer:
y=1/3x+2
Step-by-step explanation:
slope intercept form: y=xm+b
6y=2x+12
/6 /6
y=2/6x+2
y=1/3x+2
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A cross-country course is in the shape of a parallelogram with a base of length 3 mi and a side of length 2 mi. What is the total length of the cross-country course.
Based on the fact that the cross-country course is shaped like a parallelogram, the total length of the cross-country course is 10 miles.
What is the total length?The total length of the cross-country course will be the perimeter of the shape that the course is shaped like.
As this course is shaped like a parallelogram, the total length would therefore be:
= Base + Base + Length + Length
Solving gives:
= 3 + 3 + 2 + 2
= 6 miles
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My brain is fried this is due in the next 10 minutes and still haven't understood this work Need help ASAP
Will make you brainlist
Can someone help me graph it and to tell me where to put it?( put the order pairs on how to plot it)
Answer:
(0,1) (-1,1)
Step-by-step explanation:
slope from graph HELP ME PLS
Answer:
m= 2/3
Step-by-step explanation:
m= rise/ run
Because you have a visual, the easiest way would be to count units up over units to the right.
Starting from (-2, 0) and going to (1, 2) that is 2 units up and 3 units to the right. It also cannot be simplified further.
The inverse of f(x) = 2x + 3 is
O True
O False
The inverse of f (×) =2× + 3 is
yes it is true
-2log (6x + 1) = -6.
For the following description of data, identify the W's, name the variables, specify for each variable whether its use indicates it should be treated as categorical or quantitative, and for any quantitative variable identify the units in which it was measured (or note that they were not provided). Specify whether the data come from a designed survey or experiment. Are the variables time series or cross-sectional? Report any concerns you have as well.A company provides ratings from customer experiences on restaurants. For each restaurant, the percentage of customers that would return , the seating capacity and ratings of the service , decor , and food (all on a 30-point scale) are reported.1. Who was measured?A.The ratings companyB.The customersC.The restaurantsD.This information is not given.2. What was measured?A.The seating capacityB.The percentage of customers that would returnC.The foodD. The serviceE.The decorF. This information is not given.3. When were the measurements taken?A. CurrentlyB. RecentlyC. Last yearD. This information is not given.4. Where were measurements taken?A. At the customers' homesB. At the restaurantsC. At the ratings companyD. This information is not given.5. Why were the measurements taken?A. To provide a service to consumersB. To show an association between quality and costC. To determine the best restaurantD. This information is not given.6. How were the measurements taken?A. The data were collected by volunteer critics.B. The customers were surveyed.C. The staff at the restaurants were surveyed.D. This information is not given.7. Specify the categorical variables for this problem.A. The serviceB.The seating capacityC. The foodD. The percentage of customers that would returnE. The decorF. There are no categorical variables.8. Specify the quantitative variables and identify the units for this problem.A. The seating capacity ;the units are not specifiedB. The percentage of customers that would return ; the units are percentC. The decor ;the units are pointsD. The service ;the units are pointsE. The food ; the units are pointsF. There are no quantitative variables.9. Specify whether the data come from a designed survey or experiment.A. ExperimentB. Designed surveyC. This information cannot be determined by the given data.10. Are the variables time series or cross-sectional?A. Time seriesB. Cross-sectionalC. Neither11. Specify any concerns. A. The data collection was done incorrectly.B. The data sample size was too small.C. There are too many categorical variables.D. There are no specific concerns.
Answer:
1) C
2) B
3) D
4) B
5) C
6) B
7) F
8) B
9) B
10) B
11) D
Step-by-step explanation:
1) The restaurants were measured for each restaurant to give ratings as observations is being carried out on restaurants
2) The percentage of customers was measured to determine ratings. The food and decor can't be measured. Seating capacity is not a measurement variable.
3) The date of measurement is not mentioned
4) The measurement would have to be taken at restaurant obviously.
5) The measurments were taken to determine the ratings and decide the best restaurant
6) Since percentage of customers was measured, the customers had to be surveyed.
7) There are no categorical variables. All variables were measured on the scale of 30
8) Quantitative variable under investigation is number of customers who returned.
9) This is a survey not a design experiment. In design experiment, somethig is put on a test.
10) This is a cross-sectional data. nothing is being measurd over a period of time
11) There are no specific ocncerns since no data is mentioned in the question.
Answer: ^
Step-by-step explanation:
A bank loaned out 20,500, part of it at the rate of 9% annual interest, and the rest at 11% annual interest the total interest earned for both loans was 2,225.00 how much was loaned at each rate
The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.
Let the amount of money loaned at 9% be x
the amount of money loaned at 11% be y
According to the question,
Total money loaned = 20,500
Thus the equation formed is,
x + y = 20,500 ------ (i)
Simple interest is calculated by
I = P * r * t
where I is the simple interest
r is the rate of interest
t is the time
Thus, the interest on x = 0.09x
the interest on y = 0.11y
Total interest gained = 2,225
Thus the equation formed is,
0.09x + 0.11y = 2225 -------(ii)
Multiply (i) by 0.09
0.09x + 0.09y = 1845
Subtract the above from (ii)
0.02y = 380
y = 19000
x = 1500
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Which statements about the system are true? Select two options.
y=-x-4
3y-x = -7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y-intercept.
The equations represent the same line.
The slope for both the line is m= 1/3 and they are parallel lines , Option B and C are correct two options
The first equation is
y = (1/3)x-4 and not y = -x-4
(if the equation is not corrected then it will not have two true statements)
What is a System of Equation ?A system of equation is a set of equation which have a common solution
The given system of equation is
y = (1/3)x-4
3y -x = -7
3y = x-7
As it can seen from the standard equation of a line that
y =mx+c
so slope for both the line is m= 1/3
Therefore they are parallel lines
Thus , Option B and C are correct two options
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At the zoo for every six adore camel 05 baby camels there are a total of 44 adult and baby camels at the zoo
Using proportions, it is found that the table is completed as follows:
Original Ratio Number in the zoo
Baby camels 5 20
Adult camels 6 24
Total camels 11 44
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
At the zoo, for every 6 adult camels, there are 5 baby camels, hence, out of 11 camels, 5 are baby and 6 are adult.
Thus, out of 44 camels, we have that:
44/11 x 5 = 20, hence there are 20 baby camels.44/11 x 6 = 24, hence there are 24 adult camels.The table is:
Original Ratio Number in the zoo
Baby camels 5 20
Adult camels 6 24
Total camels 11 44
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Your question was incomplete, the complete question is-
At the zoo, for every 6 adult camels, there are 5 baby camels. There are a total of 44 adult and baby camels at the zoo.
Complete the table.
Original ratio Number in the zoo
Baby camels 5 ?
Adult camels 6 ?
Total camels ? 44
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
4) *
What is the value of the function f(x) = x? – 5x + 2 evaluated at x = 2?
O-4
2
6
16
Step-by-step explanation:
f(x) =x-5x+2, x=2
=2-5(2)+2
=2-10+2
=-8+2
=-6
please please help last text then finals l give brainliest
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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The bar graph gives the average atmospheric concentration of carbon dioxide.
a. Estimate the yearly increase in the average atmospheric concentration of carbon dioxide. Express the answer in parts per million.
b. Write a mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in parts per million, x years after 1950.
c. If the trend shown by the data continues, use your mathematical model from part (b) to project the average atmospheric concentration of carbon dioxide in .
a) the estimated yearly increase in the average atmospheric concentration of carbon dioxide is 1.8 ppm.
b) C = 1.8x + 310 This equation represents the mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in ppm, x years after 1950.
c) if the trend shown by the data continues, the projected average atmospheric concentration of carbon dioxide in the year 2030 would be approximately 454 ppm.
a. To estimate the yearly increase in the average atmospheric concentration of carbon dioxide, we can look at the difference between consecutive data points.
From 1950 to 2000, the concentration increased from 310 ppm to 400 ppm. So, in 50 years, the increase was 400 ppm - 310 ppm = 90 ppm.
To find the yearly increase, we divide this by the number of years: 90 ppm / 50 years = 1.8 ppm per year.
Therefore, the estimated yearly increase in the average atmospheric concentration of carbon dioxide is 1.8 ppm.
b. To write a mathematical model that estimates the average atmospheric concentration of carbon dioxide in parts per million (ppm), x years after 1950, we can use a linear equation.
Let C represent the average atmospheric concentration of carbon dioxide in ppm, and x represent the number of years after 1950.
Based on the given data, we can assume a linear relationship between time (x) and carbon dioxide concentration (C). We'll use the point-slope form of a linear equation:
C - 310 = m(x - 0)
Where 310 is the concentration in 1950, and the slope m represents the yearly increase in ppm.
Using the yearly increase we estimated in part a (1.8 ppm per year), the equation becomes:
C - 310 = 1.8x
Simplifying, we find:
C = 1.8x + 310
This equation represents the mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in ppm, x years after 1950.
c. To project the average atmospheric concentration of carbon dioxide in the future, we can use our mathematical model from part b.
Assuming the trend shown by the data continues, we can substitute the desired year into the equation C = 1.8x + 310, where x represents the number of years after 1950.
For example, if we want to project the concentration in the year 2030 (80 years after 1950), we substitute x = 80 into the equation:
C = 1.8(80) + 310
C = 144 + 310
C = 454
Therefore, if the trend shown by the data continues, the projected average atmospheric concentration of carbon dioxide in the year 2030 would be approximately 454 ppm.
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What is the square root of .0169
Answer:
The square root of .0169 is 0.13