Answer:
-4
Step-by-step explanation:
(4-2)^3 - 3*4
PEMDAS
P arentheses
(2)^3 - 3*4
E xponents
8 -3*4
MD multiply and divide from left to right
8 - 12
AS add and subtract from left to right
-4
Answer:
-4
Step-by-step explanation:
When solving an expression, use PEMDAS!
4-2 = 2
2^3 (Cubed means to the 3rd) = 8
3 x 4
8-12 = -4
6.
April sold 85 tickets to a school play
and collected a total of $495. If adult tickets cost $10 each and child
tickets cost $5 each, how many adult tickets and how many child tickets did she sell?
Answer:
adult tickets =14
child tickets =71
Step-by-step explanation:
x is adult tickets
y is child tickets
x+y=85
10x+5y=495
y=85-x
2x+y=99
2x+(85-x)=99
x=99-85=14
y=85-x=85-14=71
PLEASE HELP RLLY NEED ANSWER
Angle A and angle B are supplementary. The measure of angle B is 82.5.
What is the measure of angle A, in degrees?
Enter your answer as a decimal, if necessary, like this: 42.5
Answer:
97.5
Step-by-step explanation:
Supplementary means the angles add up to 180°
So,
m∠A = 180 - m∠B
m∠A = 180 - 82.5
m∠A = 97.5
5,820,000 in scientific form
Answer:
5.82 x 10^6
Step-by-step explanation:
Answer:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
5.82 ×10 ^6.
Step-by-step explanation:
What is Bodmas fraction?.
Answer: Simplification of Fractions.
Step-by-step explanation:
A mountain climber climbed 15,840 feet on her way to the ummit (or top) of the mountain. How manyy mile did he climb?
Assuming that the mountain is of constant height, the climber would have climbed approximately 3 miles.
The mountain climber climbed 15,840 feet on her way to the summit. After converting the feet to miles, it was determined that the climber had climbed 3 miles.
1. Convert the 15,840 feet to miles:
15,840 feet = 3 miles2. Divide the total number of feet (15,840) by the number of feet in a mile (5,280):
15,840 / 5,280 = 33. The answer is 3 miles.
This was calculated by dividing the total number of feet (15,840) by the number of feet in a mile (5,280). Overall, the mountain climber climbed 3 miles on her way to the summit.
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The following table shows the number of hours some high school students in two states
spend surfing the Internet each week:
State A 35 36 35 34 35 38 36 36 38
State B 24 22 20 50 25 24 65 25 26
Part A: Create a five-number summary and calculate the interquartile range for the two
sets of data. (6 points)
Part B: Are the box plots symmetric? Justify your answer. (4 points)
(10 points)
Answer:
The correct answers are:
Part A: For State A, the median is 36; Q1 is 35; Q3 is 37; the lowest value is 34; and the highest value is 38. For State B, the median is 25; Q1 is 23; Q3 is 38; the lowest value is 26; and the highest value is 65.
Part B: State A has a symmetric box plot; State B does not.
Explanation:
To find the five number summary for each set, we must first order the numbers from least to greatest:
State A: 34, 35, 35, 35, 36, 36, 36, 38, 38
The median is the middle value. We can see this is 36. Q1 is the value halfway between the median and the lowest value (do not include the median in this list); this is between 35 and 35, which is 35. Q3 is the value halfway between the median and the highest value (do not include the median in this list); this is between 36 and 38, which is 37. The lowest value is 34, and the highest value is 38. This is a symmetric plot, since there is 1 unit between the lowest value and Q1; 1 unit between Q1 and the median; 1 unit between the median and Q3; and 1 unit between Q3 and the highest value.
For State B: 20, 22, 24, 24, 25, 25, 26, 50, 65
The median, or middle value, is 25. Q1, halfway between the median and the lowest value, is 23 (between 22 and 24). Q3, halfway between the median and the highest value, is 38 ((26+50)/2 = 76/2 = 38). The highest value is 65 and the lowest value is 20. This box plot is not symmetric; this is because there are 3 units from the lowest value to Q1, 2 units from Q1 to the median, 13 units from the median to Q3, and 27 units from Q3 to the highest value.
Step-by-step explanation:
Solve the IVP given by y''+y=t, y(0)=1, y'(0)=-2
The solution to the IVP given by y''+y=t, y(0)=1, y'(0)=-2 is y(t) = cos(t) - (3/2) sin(t) + (1/2) t.
To solve the Initial Value Problem, we can use the method of undetermined coefficients, which involves assuming a particular form for the solution to the non-homogeneous equation y'' + y = t, and then finding the coefficients of the terms in that form by substituting it back into the equation.
First, we find the general solution to the homogeneous equation y'' + y = 0
The characteristic equation is r² + 1 = 0, which has solutions r = ±i. Therefore, the general solution to the homogeneous equation is
y_h(t) = c₁ cos(t) + c₂ sin(t),
where c₁ and c₂ are constants determined by the initial conditions.
Next, we assume a particular form for the non-homogeneous solution, based on the form of the right-hand side t. Since t is a linear function, we assume that the particular solution has the form
y_p(t) = a t + b.
Substituting this into the differential equation, we get
y''_p + y_p = t
2a + (at+b) = t.
Equating coefficients, we get
a = 1/2, b = 0.
Therefore, the particular solution is
y_p(t) = (1/2) t.
The general solution to the non-homogeneous equation is then the sum of the homogeneous and particular solutions
y(t) = y_h(t) + y_p(t)
= c₁ cos(t) + c₂ sin(t) + (1/2) t.
To determine the constants c₁ and c₂, we use the initial conditions:
y(0) = c₁ cos(0) + c₂ sin(0) + (1/2) (0) = c₁ = 1,
y'(0) = -c₁ sin(0) + c₂ cos(0) + (1/2) (1) = c₂ - (1/2) = -2,
so c₂ = -3/2.
Therefore, the solution to the IVP is
y(t) = cos(t) - (3/2) sin(t) + (1/2) t.
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A bag contains 5 black marbles, 7 blue marbles, 3 green marbles, 4 red marbles, and 1 white marble. A marble is selected and then replaced. What is the probability of selecting a black marble?
Answer:
1/4
Step-by-step explanation:
5 black marbles out of 20 total is 5 /20 = 1/4
Step 6: Choose the answer that has the numbers
below listed from least to greatest.
3
6
6.285, 627 %, 6. 28, 21
Answer:
627% 6.285 6. 28 21 6 3
Step-by-step explanation:
Um.. I did it from greatest to least but here it is!
The owner of a pet store sells 5 goldfish for $9 . What is the cost in dollars for one goldfish
Answer:
The answer is C.
Step-by-step explanation:
Took the lesson on edge 2021
thomas sold 412 boxes of cookies at a cost of 1175 what is an estimate closest to the cost of a box of cookies
Answer:
285
Step-by-step explanation:
1175 divided by 412 = 2.85194174757
that would be around 2.85
Which of the following functions matches this graph?
Answer:
a. y=x^2
Step-by-step explanation:
desmos graphing calculator
Directions: Label each territory on the map. Then shade each territory according to which European nation controlled it.
Be sure to include your color code in the map key. Use the map on page 343.
The imperial Africa during 1900s has been claimed possesses by European nations with major area controlled by France.
What is colonization?Colonization has been given as the formation of control of one over the another. The colonizers control the area for the purpose of trade, economy and other and get benefitted with that exploiting the colonized area.
Africa during the period of 1850-1914 was under various European nation rule. The major reason for the interest of Europe in Africa has been the slave trade.
The area of West Africa and Algeria was largest colonized area by France.
German has the territorial possession to German East Africa, German Southwest Africa, and Cameroons.
Union of South Africa, Northern Rhodesia, Uganda, Nigeria, Gold Coast, Egypt were under the British territorial control.
The image attached shows the each area with the European nation colonizing it during the imperial period of 1900s.
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Reading box plots
Find the range of the data in the box plot below.
cm
Amount of rain in Vietnam cities
(centimeters)
A++ +
0 1
2
3
4
5 6 7
8
9 10
Answer: The answer is 4
Step-by-step explanation:
You have the numbers 3.5, 4, 4.5, 5, 5.5, 6, 6.5, 7, 7.5. Then you subtract 7.5 with 3.5 then you get 4. :D
Boris spent $12 on the fruit at the grocery store. He spent a total of $80 at the store. What percentage of the total did he spend on fruit?
Answer:
15%
Step-by-step explanation:
$80 . . . 100%
$12 . . . x%
x= 12*100/80=15
The angle of the roof on a shed is 23 degrees. the shed is 8 metres wide and the walls are 3 metres high. Find the length, y, of one side of the roof
According to the question and after using the Pythagorean theorem the length of one side of the roof is 7.416 metres.
What is Pythagorean theorem?The Pythagorean Theorem is a mathematical formula used to determine the length of the sides of a right triangle. It is named after the Greek mathematician Pythagoras, who is credited with discovering the formula in the 6th century BC. The theorem states that the sum of the squares of the two shorter sides of the triangle is equal to the square of the hypotenuse (the longest side of the triangle). In equation form, it is expressed as a² + b² = c², where a and b are the lengths of the two shorter sides of the triangle and c is the length of the hypotenuse.
We know that the hypotenuse is 8 metres (the width of the shed) and the two shorter sides are 3 metres (the height of the walls) and y (the length of the side of the roof).
Therefore, using the Pythagorean theorem, we have:
3² + y² = 8²
9 + y² = 64
y² = 55
y = √55
y = 7.416 metres
Therefore, the length of one side of the roof is 7.416 metres.
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which is the graph of 7x-7y ≥ 12
a. b. c. or d.
PLEASE HELP
The boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.
The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x
How to create a system of linear inequalities to model the situationFrom the question, we have the following parameters that can be used in our computation:
Each finished schedule = $10Each meeting = $20Amount to make = Not more than $100You must make more than twice as many schedules as meetingsUsing the following representations:
x = the number of schedules madey = the number of meetings completedWe have the following system of inequalities from the given statements
10x + 20y ≤ 100
y > 2x
Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x
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What is the decimal equivalent of 9.7x10^5
A. 0.000097
B. 970,000
C. 9,700,000
D. 97,000,000
Answer:
B. 970,000
Step-by-step explanation:
Move the decimal 5 places to the right, since the exponent is a positive 5.
9.7 x 10⁵ = 970,000.
If it is a negative exponent, you would have to move the decimal to the left.
Write an equation for the line in slope- intercept form
points are:
-2,-2
-1,1
0,4
Answer:
y=3x+4
Step-by-step explanation:
Slope-intercept form is written as y=mx+b
m = the slope
slope is rise over run or (y2-y1)/(x2-x1). We need to choose which y value is y2 and the corresponding x value is the x2. If -2 is y2, then:
x2 = -2
y1 = 1
x1 = -1
then plug in the values.
(-2-1)/(-2-(-1))
-3/-1 = 3
m =3
then plug in values for the first equation. you can use any point on the line.
y = 3x+b
4 = 3*0 +b
4=0+b
b = 4
then write it with out x or y
y = 3x+4
Is 450 divisible by 5, 9, and 10?
Answer: yes
Step-by-step explanation: i just did 450 / 5, 9, and 10
Can someone help me how to fill in the table of values?
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other. it tells us how steeply inclined the line is, and in what direction (up = + or down = -).
b is the y-intercept (the y value when x = 0). so, the point (0, y), and it tells us how high above or low below the x-axis the line is going.
and the y values in the table ? well, as the equation says, y = 2x + 1.
you take the x value, put it into the place of x in the equation, and then calculate y. that is how functions work.
so,
x y
-2 2×-2 + 1 = -4 + 1 = -3
-1 2×-1 + 1 = -2 + 1 = -1
0 2×0 + 1 = 0 + 1 = 1
1 2×1 + 1 = 2 + 1 = 3
2 2×2 + 1 = 4 + 1 = 5
Homemade lemonade containing bits of pulp and seeds would be considered a(n) options: heterogeneous mixture homogeneous mixture element compound
Homemade lemonade containing bits of pulp and seeds would be considered a heterogeneous mixture.
Homogeneous mixtures have a uniform composition throughout, meaning that the different components are evenly distributed at a microscopic level. In the case of homemade lemonade containing bits of pulp and seeds, the presence of visible bits of pulp and seeds indicates that the mixture is not uniform. The pulp and seeds are not evenly distributed and can be easily observed as separate entities within the lemonade. Therefore, the mixture is considered heterogeneous.
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Reed is currently r years old. Which expression represents his age seven years from now
Answer: r+7
Whatever his age is now, we add 7 to it. So we simply add 7 to r getting r+7.
Example: Say he is 10 years old now
r = 10
r+7 = 10+7 = 17
meaning he will be 17 seven years from now
the regular price of base ball cleats is 80 dollars if the cleats are on sale for 45% off, then what is the value of the discount in dollars?
Answer:
$36
Step-by-step explanation:
If the cleats were on sale for 45% off, that means they were 55% "on." Therefore, you have to multiply 80 by 0.55* to get how much they cost.
80 x 0.55 is 44.
To get the value of the discount, you subtract 44 from 80, which is 36.
The cleats sold for $44, and there was a $36 discount.
*you multiply by 0.55 because it is 55 percent. Percent means "per every hundred." That's why you have to divide 55 by 100 to get 0.55.
An alternate way to solve this is to multiply 80 by 55 and then divide the result by 100, but you'll still get 44.
A pair of jeans are originally $39.50 and are 15% off. The sales tax is 7%. After the discount and tax, how much will the total be?
Answer:
$35.93
Step-by-step explanation:
15% of 39.50= 33.58
7% of 33.58= 35.93
a random sample of records of home sales from 2/15/93 to 4/30/93 from the files maintained by the albuquerque board of realtors gives the selling price (in thousands of dollars) and size (in square feet) of 13 homes. a regression line was made to predict the selling price of a home sold during this period from its size. in this context, what is the explanatory variable used here?
The overall answer of three parts :
The slope is positive. As the size of the home increases, the price should also increase.
(a) The variables and units in this regression are:
i) Size of homes ( x ) ( measured in \(ft^2\) )
ii) Selling price in ( y ) ( measured in dollars )
(b) Units of the slope will be :
unit of slope = dollar per square foot (i.e. y / x )
(c) According to the above slope
The slope will be positive given that the increase of home size is directly proportional to the increase in price.
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The given question is incomplete, complete question is:
A random sample of records of sales of homes from February 15 to April 30, 1993, from the files maintained by the Albuquerque Board of Realtors gives the Price and Size (in square feet) of 117 homes. A regression to predict Price (in thousands of dollars) from Size has an R-squared of 71.4%. The residuals plot indicated that a linear model is appropriate.
Required:
a. What are the variables and units in this regression?
b. What units does the slope have?
c. Do you think the slope is positive or negative? Explain.
The unshaded regions are quarter circles. Approximate the area of the shaded region. Use π = 3.14.
help please.
Answer:104.06
Step-by-step explanation:
The area of the shaded region is 123.84 cm²
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The side length of the square is a= 24 cm
Area of square = a²
=24²
=576 cm²
Now let us find the area of circle
Diameter of circle is 24cm
Radius=24/2=12 cm
Area of circle=πr²
=3.14×12²
=3.14×144
=452.16cm²
the area of the shaded region = 576-452.16
=123.84 cm²
Hence, the area of the shaded region is 123.84 cm²
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A car is traveling at a steady speed. It travels 1 ¾ miles in 2 ⅓ minutes. How far will it travel in 41 minutes? In 1 hour?
Answer:
What can I do for you?
Step-by-step explanation:
find the variance and standard deviation of 5,6,7,8,9
Step-by-step explanation:
To figure out the variance, subtract 82.5 from the mean, which is 5.5 and then divide by N, which is the value of numbers, (in this case 10) minus 1. The result is a variance of about 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.Calculate the mean.
Subtract the mean from each observation.
Square each of the resulting observations.
Add these squared results together.
Divide this total by the number of observations (variance, S2).
Use the positive square root (standard deviation, S).