Answer:
360 degrees
Step-by-step explanation:
all shapes angles add to 360
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going or
the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of th
population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls.
Answer:
C
Step-by-step explanation:
Because I said so
The length of a rectangular room is 8 feet more than twice the width. If takes perimeter of the room is 124 feet, what are its dimensions?
Hey there! I'm happy to help!
Let's call the length and width L and W respectively.
L=2W+8
2W+2L=124
We plug our value of L into the second equation and solve for W.
2W+2(2W+8)=124
We undo the parentheses with the distributive property.
2W+4W+16=124
Combine like terms.
6W+16=124
Subtract 16 from both sides.
6W=108
Divide both sides by 6.
W=18
We plug this W value into the first equation to solve for L.
L=2(18)+8
L=36+8
L=44
So, the length is 44 feet and the width is 18 feet.
Have a wonderful day! :D
A floor plan of the living room is shown below. If the carpet he chooses costs $27.50 per yard square, how much will the new carpet cost
Answer:
there is no picture,you need to add a pic
Data where the difference between data values has meaning but there is no defined starting point
Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.
These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.
1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.
2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.
3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.
4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.
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Help will name brainliest
\(\text{For angle N,}\\\\PQ= \text{Perpendicular.}\\\\QN = \text{Hypotenuse.}\\\\\text{Now,}\\\\\sin N = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\\~~~~~~~=\dfrac{QP}{QN}\)
The distance from place A to place B is 450 miles and the distance from place A to place C is 150 miles. By what factor must the distance from place A to place C be multiplied to get the distance from place A to place B?
A) 1
B) 2
C) 3
D.)4
Answer:
C. 3Step-by-step explanation:
450 / 150 = 3
so the factor is 3
150 (3) = 450
Answer:
C
Step-by-step explanation:
Find the slope and the y-intercept of the equation y-3(x - 1) = 0.
OA.
slope = -3 and y-intercept = -3
OB. slope = 3 and y-intercept = 3
OC. slope = -3 and y-intercept = 3
OD. slope = 3 and y-intercept = -3
Answer:
OD is the answer
Step-by-step explanation:
y - 3(x - 1) = 0
y - 3x + 3 = 0
y = 3x - 3
therefore, slope = 3 and y intercept = -3
Please help ASAP and please show work if possible.
Answer:
72° and 108°
Step-by-step explanation:
let one angle be x then the other angle is 1.5x
A linear pair sum to 180° , so
x + 1.5x = 180 , that is
2.5x = 180 ( divide both sides by 2.5 )
x = 72
1.5x = 1.5 × 72° = 108°
The two angles are 72° and 108°
Answer:
do you have wazapp I can send full pic of the answer here
e. does the fit go through the origin (i.e., is the intersection with the vertical axis equal to zero)? is this what you expected?
Based on the equation provided, the fit does not go through the origin because the intercept (the coefficient of the constant term) is not zero.
The equation is y = 2x + 5, which means that the line intersects the vertical axis at y = 5, not at the origin (0,0). This is not necessarily unexpected, as the intercept can be any non-zero value depending on the data and the model being used to fit it. A coordinate system in geometry is a method for determining the location of points or other geometric objects on a manifold, such as Euclidean space, uniquely using one or more integers, or coordinates.
The coordinates' order is important, and often they are recognised by their place in an ordered tuple or by a letter, as in "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers, although they might instead be complex numbers or components of a more b, such a commutative ring. Analytic geometry is based on the use of a coordinate system, which enables issues in geometry to be converted into problems involving numbers and vice versa.
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Negative air pressure created by an air pump makes a vacuum cleaner able to collect air and dirt into a bag or other container. Below are several readings from a pressure gauge. Write rational numbers to represent each of the readings, and then order the rational numbers from least to greatest.
Gauge Readings ( pounds per square inch )
25 psi pressure
13 psi vacuum
6.3 psi vacuum
7.8 psi vacuum
1.9 psi vacuum
2 psi pressure
7.8 psi pressure
Pressure readings ( pounds per inch) answers:
The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.
To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.
Given readings:
25 psi pressure
13 psi vacuum
6.3 psi vacuum
7.8 psi vacuum
1.9 psi vacuum
2 psi pressure
7.8 psi pressure
Expressed as rational numbers with a common denominator:
25 psi = 25/1
13 psi = 13/1
6.3 psi = 63/10
7.8 psi = 78/10
1.9 psi = 19/10
2 psi = 2/1
7.8 psi = 78/10
Now, let's order these rational numbers from least to greatest:
1.9 psi = 19/10
6.3 psi = 63/10
7.8 psi = 78/10
7.8 psi = 78/10
13 psi = 13/1
25 psi = 25/1
2 psi = 2/1
Ordered from least to greatest:
19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1
Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.
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please help :(
how do you know you have a direct variation in the relationship between two quantities?
Please help I will give brainliest and a lot of points :)
The inequality shaded in the graph is given as follows:
y ≥ 5x/2 + 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:
b = 3.
When x increases by 2, y increases by 5, hence the slope m is given as follows:
m = 5/2.
Then the equation of the line is given as follows:
y = 5x/2 + 3.
The line is a solid line, and values above it are plotted, hence the inequality is given as follows:
y ≥ 5x/2 + 3.
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working 22 hours in the second week of june, xenia was able to earn $\$$47.60 more than during the first week of june when she worked 15 hours. if her hourly wage was constant, how many dollars did she earn during the first two weeks of june? express your answer to the nearest hundredth.
Rounding to the nearest hundredth, we find that Xenia earned approximately 282.60 in the first two weeks of June.
What is linear equation?
A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:
y = mx + b
Let's start by finding Xenia's hourly wage, which we can use to calculate her earnings. We know that in the first week, when she worked 15 hours, she earned a certain amount, and in the second week, when she worked 22 hours, she earned 47.60 more than in the first week.
Let's use the variable x to represent Xenia's hourly wage. Then, in the first week, she earned:
15x dollars
In the second week, she earned:
22x + 47.60 dollars
We can now calculate her total earnings for the two weeks by adding up her earnings from the first and second weeks:
15x + (22x + 47.60) = 37x + 47.60 dollars
We don't know Xenia's hourly wage, but we do know that it must be the same in both weeks. This means that the x term is the same in both expressions above.
We can now use the information given in the problem to set up an equation:
22x + 47.60 = 15x + 47.60 + 47.60
The left-hand side represents Xenia's earnings in the second week, and the right-hand side represents her earnings in the first and second weeks combined. We added an extra 47.60 to the right-hand side to account for the fact that she earned that much more in the second week than in the first.
Simplifying the equation, we get:
7x = 47.60
Dividing both sides by 7, we find:
x = 6.80
So Xenia's hourly wage is 6.80.
To find her total earnings for the first two weeks of June, we can substitute x = 6.80 into our expression for her combined earnings:
37x + 47.60 = 37(6.80) + 47.60 \approx 282.60
Rounding to the nearest hundredth, we find that Xenia earned approximately 282.60 in the first two weeks of June.
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there are 60 people 15 of the like grape juice, what is the percent
(-4/7) ÷(16/49)
Find the answer
Step-by-step explanation:
cross product. Ise the butrerfly or cross and bones method. Multiply -4 and 49. Put that in the numerator. Then multiply 7 and 16. Put that in the denominator. Then reduce if u can.
Consider a two-tailed test with a level of confidence of 99%. The p-value is determined to be 0.05; therefore, the null hypothesis ___________.
Answer:
fail to reject the null
Step-by-step explanation:
99% confidence is equivalent to .01
the p-value is > .01 so fail to reject the null
if it was < .01 you would reject the null
Someone who wants to go camping in the spring starts to pack his backpack and this camper must pack three items: food, first-aid kits, and clothes. The backpack has a capacity of 9 ft 3. Each unit of food takes 2ft 3 . A first-aid kit occupies 1ft 3 , and each piece of cloth takes about 3ftt 3 . The hiker assigns the benefit of the items as 7, 5 , and 6 to food, first aid, and clothes, respectively, which means that foods are the most valuable of the three items. From experience, the hiker must take at least one unit of each item. How many of each item should the camper take?
The camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing within the given constraints.
To determine the optimal number of each item the camper should take, we need to maximize the total benefit while considering the capacity constraint of the backpack.
Let's assume the camper takes x units of food, y first-aid kits, and z pieces of clothing.
The backpack has a capacity of 9 ft^3, and each unit of food takes up 2 ft^3. Therefore, the constraint for food is 2x ≤ 9, which simplifies to x ≤ 4.5. Since x must be a whole number and the camper needs at least one unit of food, the camper can take a maximum of 3 units of food.
Similarly, for first-aid kits, since each kit occupies 1 ft^3 and the camper must take at least one, the constraint is y ≥ 1.
For clothing, each piece takes 3 ft^3, and the constraint is z ≤ (9 - 2x - y)/3.
Now, we need to maximize the total benefit. The benefit of food is assigned as 7, first aid as 5, and clothing as 6. The objective function is 7x + 5y + 6z.
Considering all the constraints, the possible combinations are:
- (x, y, z) = (3, 1, 0) with a total benefit of 7(3) + 5(1) + 6(0) = 26.
- (x, y, z) = (3, 1, 1) with a total benefit of 7(3) + 5(1) + 6(1) = 32.
- (x, y, z) = (4, 1, 0) with a total benefit of 7(4) + 5(1) + 6(0) = 39.
- (x, y, z) = (4, 1, 1) with a total benefit of 7(4) + 5(1) + 6(1) = 45.
Among these combinations, the highest total benefit is achieved when the camper takes 3 units of food, 1 first-aid kit, and 1 piece of clothing.
Therefore, the camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing to maximize the total benefit within the given constraints.
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hii! please help i’ll give brainliest
Answer:
Bukhara
Hope this helps!
--Applepi101
Roll needs to make a sauce mixture of 2/5 sand and 2/5 of clay and one for Pete Mas to put his plants yes 75 pounds of sand how many total pounds of soil rather have it he adds clay and Pete Moss to the sand to make the correction mixture
Answer:
187.5 pounds
Step-by-step explanation:
Fraction of sand = 2/5
Fraction of clay = 2/5
Fraction of peat = 1/5
Pounds of sand = 75
The total pounds of soil required to make Correct mixture : let that be x
Hence,
Using the sand Fraction and pounds which we know :
2/5 of x = 75
2x / 5 = 75
Cross multiply :
2x = 75 * 5
2x = 375
x = 375 / 2
x = 187.5
Required pond of sand =187.5 pounds
Express the relationship between x + 2 and -2x + 8 as a single equation
Answer:
\(= -2x^2 +4x+ 16\)
Step-by-step explanation:
From the given equation:
\((x+ 2 ) \ and \ (-2x +8)\)
As a single equation, we have:
\(= (x + 2) \ \times \ ( -2x + 8) \ = 0\)
open brackets
\(\implies -2x^2 +8x +(-4x) + 16\)
\(= -2x^2 +4x+ 16\)
pls help i will give brainliest and 5 stars
Answer:
Answer is the fee at bank L will be the same as P when the checking fee is 600.
What is the recursive rule for the sequence shown in the graph?
The recursive rule for the sequence in the graph is aₙ = aₙ₊₁ + 4
Recursive rule are the rules that continually takes a previous number and changes it to get to a next number.
It gives first term or terms of sequence and describes how term is related to previous term with an equation.
Looking at the graph ,
taking first two point ,n = 1 and n = 2
At n = 1 , a(n) = 13
At n = 2 , a(n) = 9
so , 9 = 13 - 4
we can write it as,
a₂ = a₁ - 4
Hence , recursive formula for sequence :
aₙ₊₁ = aₙ - 4
bring aₙ to the left
=> aₙ = aₙ₊₁ + 4 is required recursive formula
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Calculus was "invented" to solve two problems, one of which was the analysis of motion. Given that a particle is moving along a straight line with velocity v(x)=3x2+e2x, give a plausible position function for the particle. (There are infinitely many correct answers; choose one.)
Integrate the velocity function v(x) = 3\(x^{2}\) +\(e^{(2x)\)with respect to x to obtain the position function s(x) = \(x^{3}\) + (1/2)\(e^{(2x)\) + C, where C is the constant of integration representing the initial position of the particle.
To find the position function, we need to integrate the velocity function with respect to x. The velocity function v(x) = 3\(x^{2}\) + \(e^{(2x)\) represents the rate of change of position with respect to time.
By integrating v(x), we find the antiderivative or the indefinite integral of the function. The antiderivative of 3\(x^{2}\) is\(x^{3}\), and the antiderivative of \(e^{(2x)\) is (1/2)\(e^{(2x)\). When integrating, we also include a constant of integration, denoted as C.
The constant of integration represents the initial position of the particle. Since the problem statement does not provide the initial position explicitly, we leave it as C.
Therefore, a plausible position function for the particle is s(x) = \(x^{3}\) + (1/2)\(e^{(2x)\)+ C, where C is the constant of integration that accounts for the initial position of the particle.
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.Calculate pay in the following cases- 2+4+3= 10 marks
a) Mark works at a rock concert selling programs. He is paid $20 for showing up,
plus 45 cents for each program that he sells. He sells 200 programs. How
much does he earn working at the rock concert?
b) Mary wood is an architect working for New Horizons. She makes every month a salary of 5500.
i What is her annual income?
ii What is her gross earnings per pay period.
iii How much does she earn per period if paid semi-monthly
iv How much does she earn per period if paid weekly.
c) Danny Keeper is paid $12.50 per hour. He worked 8 hours on Monday and Tuesday, 10 hours on Wednesday and 7 hours on Thursday. Friday was a public holiday and he was called in to work for 10 hours. Overtime is paid time and a half. Time over 40 hours is considered as overtime. Calculate regular salary and overtime. Show all of your work.
a) Mark earns $110 at the rock concert, b) i) Mary's annual income is $66,000, c) Danny's regular salary is $400 and his overtime salary is $75. His total salary is $475.
a) Mark sells 200 programs, so he earns an additional $0.45 for each program. Therefore, his earnings from selling programs is 200 * $0.45 = $90. In addition, he earns a fixed amount of $20 for showing up. Therefore, his total earnings at the rock concert is $20 + $90 = $110.
b) i) Mary's annual income is her monthly salary multiplied by 12 since there are 12 months in a year. Therefore, her annual income is $5,500 * 12 = $66,000.
ii) Mary's gross earnings per pay period would depend on the pay frequency. If we assume a monthly pay frequency, her gross earnings per pay period would be equal to her monthly salary of $5,500.
iii) If Mary is paid semi-monthly, her earnings per pay period would be half of her monthly salary. Therefore, her earnings per pay period would be $5,500 / 2 = $2,750.
iv) If Mary is paid weekly, we need to divide her monthly salary by the number of weeks in a month. Assuming there are approximately 4.33 weeks in a month, her earnings per pay period would be $5,500 / 4.33 = $1,270.99 (rounded to the nearest cent).
c) To calculate Danny's regular salary and overtime, we need to consider his regular working hours and overtime hours.
Regular working hours: 8 hours on Monday + 8 hours on Tuesday + 8 hours on Wednesday + 8 hours on Thursday = 32 hours.
Overtime hours: 10 hours on Wednesday (2 hours overtime) + 10 hours on Friday (2 hours overtime) = 4 hours overtime.
Regular salary: Regular working hours * hourly rate = 32 hours * $12.50/hour = $400.
Overtime salary: Overtime hours * hourly rate * overtime multiplier = 4 hours * $12.50/hour * 1.5 = $75.
Therefore, Danny's regular salary is $400 and his overtime salary is $75. His total salary would be the sum of his regular salary and overtime salary, which is $400 + $75 = $475.
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Jeremiah makes 25% of the three-point shots he attempts. For a warm up, Jeremiah likes to shoot three-point
shots until he makes one. Let M be the number of shots it takes Jeremiah to make his first three-point shot.
Assume that the results of each shot are independent.
Find the probability that it takes Jeremiah fewer than 4 attempts to make his first shot.
You may round your answer to the nearest hundredth.
P(M < 4) =
The probability will be "0.578".
Given values,
p = 25%or,
= 0.25
q = 1-p= 1-0.25
= 0.75
To find the probability that it takes Jeremiah fever than 4 attempts is given by,
→ \(P(M<4) = P(1-P)^{M-1}\)
M = 1, 2, 3
→ \(= P[(1-P)^{1-1}+(1-P)^{2-1}+(1-P)^{3-1}]\)
→ \(= P[1+(1-P)+(1-P)^2]\)
→ \(= 0.25[1+0.75+0.75^2]\)
→ \(= 0.25\times 2.3125\)
→ \(= 0.578125\)
or,
→ \(= 0.578\)
Thus the above answer is right.
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Solve for each missing side length. Round to the nearest tenth if a decimal.
nada más estoy respondiendo para poder passar jmuna cosa aqui
Step-by-step explanation:
haha
four light bulbs use different amount of electricity as shown below
A) 400 watt in 10 hours
B) 200 watts in 8 hours
C) 180 watts in 3 hours
D) 140 watts in 4 hours
which light bulb uses the least amount of electricity per hour?
Answer:
The answer is light bulb letter B
Step-by-step explanation:
A = 40
B = 25
C = 60
D = 35
All these are their Unit values.
What is the slope of the line? Just put the number that represents the
slope (no units). *
Answer:
3/3 or just 3.
Step-by-step explanation:
everytime the line crosses the x and y coordinates is basically a plot. so counting from the bottom left hand corner to the "plot" in the middle is 3/3 because it rises three and runs positive 3.
A function is graphed as a line. It is known that the points (-6, 10) and (-2, 12) lie on this line. Write the formula of the function in f(x) = mx + = b form.
Please help with these 3! Don’t need the steps, just the answer