Answer:
d - 18
Step-by-step explanation:
The question said to use d as the variable. We do not know the number of dollars Paul owes. So we put d for that amount.
Then "minus" means to subtract 18.
Writing the expression is all that is being asked for. Translating the words into algebra. We aren't solving anything. Not even writing an entire equation, just an expression, so it has no equals sign.
In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle. A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x. Write and solve an equation to determine the measure of angle x.
The equation that solve for x is as follows;
70 + 60 + x = 180
How to find an angle?The equation that can be used to find the measure of angle x can be found as follows:
60 + 70 + y = 180
Therefore,
130 + y = 180
subtract 130 from both sides
130 - 130 + y = 180 - 130
y = 50°
70 + 60 + x = 180
130 + x = 180
x = 180 - 130
x = 50°
x and y are vertically opposite angles.
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My street hockey team plays three games each week. My team lost all 12 games in the first four weeks. Then, my team won two games and lost one game in the fifth week, bringing our record to 2 wins and 13 losses. Each week after that, my team won two games and lost one game. My team first wins at least 50% of all its games by the end of the first n weeks. What is n?
Using proportions, it is found that the value of n is of [tex]n \geq 11[/tex].
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
On the first 15 games, the team wins 2 games and losses 13. Then, in each week, the team plays 3 games, winning 2. Then:
After n weeks, the team will have won 2 + 2n games.After n weeks, the team will have played 15 + 3n games.The proportion of wins is given as follows:
[tex]\frac{2 + 2n}{15 + 3n}[/tex]
The proportion is of at least 50%, hence:
[tex]\frac{2 + 2n}{15 + 3n} \geq 0.5[/tex]
We solve the inequality for n, similarly to how we would solve an equality, applying cross multiplication. Then:
[tex]2 + 2n \geq 7.5 + 1.5n[/tex]
[tex]0.5n \geq 5.5[/tex]
[tex]n \geq \frac{5.5}{0.5}[/tex]
[tex]n \geq 11[/tex]
The value of n is of [tex]n \geq 11[/tex].
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The projected worth (in millions of dollars) of a large company is modeled by the equation w = 241(1.03) t. the variable t represents the number of years since 2000. what is the projected annual percent of growth, and what should the company be worth in 2012?
Answer:
343.608 million to nearest thousand.
Step-by-step explanation:
Projected annual percent of growth = 3% ( from the values 1.03 in the equation)
Worth is 2012 ( 12 years after 2000) is:
241(1.03)^12
= 343.608 million
Which point is the circumcenter of the triangle?
A) E
B) G
C) F
D) D
Answer: Point D
Reason:
The circumcenter is found by intersecting the perpendicular bisectors of each segment of the triangle.
As you can see, the circumcenter is the center of the circumcircle. This special circle is the smallest possible that wraps the triangle so to speak. The vertices of the triangle are on the circle. The distances AD, BD and CD are all the same.
Which property is shown in the following statement?
(46 + 17) + 3 = 46 + (17 + 3)
associative property of addition
commutative property of addition
identity property of addition
Answer:
Associative property of addition.
Step-by-step explanation:
The location of the parentheses makes no difference to the sum of these numbers.
The property shown in the statement "(46 + 17) + 3 = 46 + (17 + 3)" is the associative property of addition.
The associative property of addition states that when adding three or more numbers, the grouping of the numbers does not affect the sum
In the given statement, we have three numbers being added: 46, 17, and 3. The statement shows that the addition is grouped differently on each side of the equation, but the result is the same.
On the left side, we have (46 + 17) + 3.
This means we first add 46 and 17, which equals 63. Then we add 3 to the sum, resulting in 66.
On the right side, we have 46 + (17 + 3). Here, we first add 17 and 3, which equals 20. Then we add 46 to the sum, also resulting in 66.
As we can see, no matter how we group the numbers being added, the final sum is the same. This demonstrates the associative property of addition.
Therefore, the property shown in the given statement is the associative property of addition.
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jean loads a ream of paper 500 sheets into the tray of her photocopier she has 23 sheets and need 20 copies each sheet how many sheets of paper remain unused
The answer is 40
you just times 23 by the number of photocopies you need with is 20
so 23x20 which is 460
500-460 is 40
The number of sheets of papers remain unused are 40.
Given that, Jean loads a ream of paper 500 sheets into the tray of her photocopier she has 23 sheets and need 20 copies each sheet.
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number of sheets used = 23×20
= 460
Remaining sheets = 500-460
= 40
Therefore, the number of sheets of papers remain unused are 40.
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Compare and contrast dot plots and histograms. Make a list of the benefits and downsides of each.
A dot plot displays the individual data values and a histogram displays data ranges along the x-axis and uses rectangular bars to show the frequencies of values that fall into each range.
How to illustrate the information?It should be noted that dot plots, histograms, and box plots are all common graphical ways to represent data sets.
The dot plot represents data by placing a dot for each data point. Also, the histogram groups the data into ranges and then plots the frequency that data occurs in each range.
The similarities is that the dot plot and the histogram can more easily tell us the mode of our data set. A dot plot gives you a visual idea of your data, but histogram gives you additional information.
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Please help me with algebra 2 questions!
Answer:
5B; 7B; 1,024; see answer
Step-by-step explanation:
5.
We can see from the table that
a1 = 5
a2= 5·2 = 10
a3= 5·2·2 = 5·2² = 20
a4 = 5·2·2·2 = 5·2³ = 40
...
[tex]a_{n} = 5*2^{n-1}[/tex]
7.
Is given that the filter removes 90% of contaminated air
after run 1 :
100% air
90% contamination removed for 100% air
100% is 10%+10%+10%+10%+10%+10%+10%+10%+10%+10%
10% is still contaminated air
after run 2:
10% air
90% contamination removed for 10% air
10% is 1%+1%+1%+1%+1%+1%+1%+1%+1%+1%
1% is still contaminated air
after run 3:
1% air
90% contamination removed for 1% air
1% is .1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%
.1% is still contaminated air
11.
Figure 1 = 1 piece
Figure 2 = 4 pieces
Figure 3 = 4² = 16
...
[tex]Figure 6 = 4^{(6-1)} = 4^{5} = 1024[/tex]
12.
[tex](c+d)^{6} \\[/tex]
-we know that the coefficients should be 1, 6, 15, 20, 15, 6, 1
-we start with c to the lowest power 0 and d to the highest power 6 and end with d to the lowest power 0 and c to the highest power 6
[tex](c+d)^{6} = 1*c^{0} d^{6} +6*c^{1} d^{5} +15*c^{2} d^{4} +20*c^{3} d^{3} +15*c^{4} d^{2} +6*c^{5} d^{1} +1*c^{6} d^{0}[/tex]
-we simplify to have the final answer:
[tex](c+d)^{6 } = d^{6} +6cd^{5} +15c^{2} d^{4} +20c^{3} d^{3} +15c^{4} d^{2} +6c^{5} d+c^{6}[/tex]
Given these facts, determine how many cans of paint you would need to buy to paint 2 walls.
1st wall: 20 ft. x 8ft.
2nd wall: 40ft. x 8ft.
1 can will cover 200 square feet of wall.
You will need 3 cans of paint to cover the two walls
How many cans of paint will you need?
We know that 1 can will cover 200 square feet of wall.
And here we have 2 walls, let's find the total area of these walls.
wall 1 is 20ft by 8ft, then its area is:
A = 20ft*8ft = 160ft^2
wall 2 is 40t by 8 ft, then its area is:
A' = 40ft*8ft = 320ft^2
The total area is:
160ft^2 + 320ft^2 = 480ft^2
The number of cans of paint needed is given by the quotient between the total area and the area that each can cover.
N = 480ft^2/200ft^2 = 2.4
But we can't have a 0.4 of a can, so we should round to the next whole number, which is 3.
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help ASAP!!!!!!!!!!!!!!!
Answer: 4.0 * 10^0 kg = 4.0 kg essentially
Step-by-step explanation:
No need to convert these to numbers...
Weight of 1 bee: 1 * 10^-4 = (0.0001 kg)
Number of bees: 4 * 10^4 = (40000 bees)
(1 * 10^-4) * (4 * 10^4) =
(1 * 4) * (10^-4 * 10^4) =
(10^0 because when multiply exponential numbers, you add the exponents)
4 * 10^0 =
4 * 1 = 4 kg
Find the midpoint of PM=
Help me please thanks :)
Answer:
Midpoints are (-1/2 , - 3)
Step-by-step explanation:
Given P (-4, - 2) and Q (3, - 4)
[tex]x1 = - 4 \\ x2 = 3 \\ y1 = - 2 \\ y2 = - 4[/tex]
[tex]midpoints = (\frac{x1 + x2}{2})( \frac{y1 + y2}{2}) \\ = ( \frac{ - 4 + 3}{2})( \frac{ - 2 + ( - 4)}{2}) \\ = ( \frac{ - 1}{2})( \frac{ - 2 - 4}{2}) \\ = ( \frac{ - 1}{2})( \frac{ - 6}{2}) \\ = ( \frac{ - 1}{2})( - 3)[/tex]
A right triangle has side lengths 4 units, 5 units, and x units. It is unknown if the missing length is the longest or shortest side.
Rounded to the nearest tenth, what is the difference between the possible values of x?
3.0 units
3.4 units
6.4 units
8.0 units
Answer: B
Step-by-step explanation:
Answer:
3.4 units
Step-by-step explanation:
which function describes this table of value x -8, -4, 4, 8, y -2, 0, 4, 6
we conclude that the linear equation represented by the given table is:
y = (1/2)*x + 2
Which function is the one described by the table?A general linear equation is given by:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through (x₁, y₁) and (x₂, y₂), then the slope is given by:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we can use just the first two points on the given line:
(-8, -2) and (-4, 0)
Then the slope will be:
[tex]a = \frac{0 - (-2)}{-4 -(-8)} = \frac{2}{4} = \frac{1}{2}[/tex]
Then the linear equation is something like:
y = (1/2)*x + b
To find the value of b, we can use one of the two given points, I will use (-4, 0), then:
0 = (1/2)*(-4) + b
0 = -2 + b
2 = b
Then we conclude that the linear equation represented by the given table is:
y = (1/2)*x + 2
Then the correct option is the first one.
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Seven is not an example of _____.
an expression
a term
a variable
a constant
Answer:
a variable.
Seven is a number and cannot be a variable.
Which table represents a linear function?
The table shows the number of grapes eaten over several minutes.
What is the rate of change for the function on the table?
15 grapes eaten per minute
15 minutes to eat each grape
60 grapes eaten per minute
60 minutes to eat each grape
The rate of change for the function on the table is; 15 grapes eaten per minute.
What is the rate of change of the function described by the table?It follows from the complete question that the table given indicates that;
after 1min, 15 grapes had been eaten, after the next minute, 30 grapes had eaten, after the 3rd minute, 45 grapes had already been eaten.On this note, it is conclusive that the rate of change of the function represented by the table is; 15 grapes eaten per minute.
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Please help!! Which figures demonstrate a single translation?
Select each correct answer.
Answer:
the top 2 and the left bottom corner
Step-by-step explanation:
the first one in the first row is a reflection
the second one in the first row is a rotation
the one on the left bottom corner just moved a unit
Answer:
Option 3
Step-by-step explanation:
The first answer is a reflection across the y-axis, the second is a rotation, and the last one is two translations. So, the third one is correct because it's the only single translation.
20 POINTS
Here are the scores of 18 students on a history test. 55, 57, 58, 61, 62, 66, 68, 68, 71, 75, 75, 78, 82, 83, 85, 86, 88, 89. Notice that the scores are ordered from least to greatest. Make a box-and-whisker plot for the data.
The median of this box and whisker plot is 73
A box and whisker plot is defined as a graphical method of displaying variation in a set of data. In most cases, a histogram analysis provides a sufficient display, but a box and whisker plot can provide additional detail while allowing multiple sets of data to be displayed in the same graph. Box and whisker plots are very effective and easy to read, as they can summarize data from multiple sources and display the results in a single graph. Box and whisker plots allow for comparison of data from different categories for easier, more effective decision-making.
From the given data, following can be inferred
Population size: 18Median: 73Minimum: 55Maximum: 89First quartile: 61.75Third quartile: 83.5Interquartile Range: 21.75which is demonstrated in the box and whisker plot below
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A.22
B.183
C.246
D.213
Answer:
NMK= 22
Step-by-step explanation:
From N to K equals 177.
N to M equals x
K to M equals to 107
L equals 35
35 177
x 107
it equals to 21.158
Round up to the nearest ones or whole number
The mean of continuous data having term 100 is 20.find the sum of terms
Answer:
2000
Step-by-step explanation:
let the sum of the two terms be,x
Then,
x/100=20
where
100=no. of terms
20=mean
Then,
x/100=20
x=20×100
x=2000
So,
Sum of terms=2000
10) James earned $3,000 interest
on an investment that he put in
the bank for 6 years with a 5%
interest rate. How much was his
initial deposit?
Answer:
Step-by-step explanation:
assuming that he has an annual interest of 5% then his initial deposit would be rounded to $2,238.65
What bearing and airspeed are required for a plane to fly 500 miles due north in 2. 5 hours if the wind is blowing from a direction of 344° at 10 mph?
Answer:
The airspeed is 201.17 mph and bearing is and this can be determined by using the vector form of velocity
Plane to fly 700 miles due north in 3.5 hours if the wind is blowing from a direction of 338 degrees at 10 mph
-2x + 7x +34 = -2(1-7x)
[tex]\boldsymbol{\sf{-2x + 7x +34 = -2(1-7x) \ \ \longmapsto \ \ [Add \ -2x+7x]}}[/tex]
[tex]\boldsymbol{\sf{5x+34=-2(1-7x)}}[/tex]
Use the distributive property to multiply −2 by 1−7x.
[tex]\boldsymbol{\sf{5x+34=-2+14x}}[/tex]
Subtract 14x on both sides.
[tex]\boldsymbol{\sf{5x+34-14x=-2}}[/tex]
Combine 5x and −14x to get −9x.
[tex]\boldsymbol{\sf{-9x+34=-2 }}[/tex]
Subtract 34 from both sides.
[tex]\boldsymbol{\sf{-9x=-2-34 \ \ \longmapsto \ \ \ [Subtract] }}[/tex]
[tex]\boldsymbol{\sf{-9x=-36}}[/tex]
Divide both sides by −9.
[tex]\boldsymbol{\sf{x=\dfrac{-36}{-9} \ \ \longmapsto \ \ [Split] }}[/tex]
[tex]\red{\boxed{\boldsymbol{\sf{\blue{Answer \ \ \longmapsto \ \ x=4 }}}}}[/tex]
[tex] \quad\quad\quad \huge \underline{ \tt{ANSWER}}[/tex]
[tex]\quad\quad\quad\quad\quad\quad[/tex]
[tex]\tt{- 2x + 7x + 34 = - 2(1 - 7x)}[/tex]
[tex]\tt{5x + 34 = - 2(- 7x + 1)}[/tex]
[tex]\tt{5x + 34 = - (- 2 * 7x + 2)}[/tex]
[tex]\tt{5x + 34 = - (- 14x + 2)}[/tex]
[tex]\tt{(5x + 34) + (- 34 - 14x) = (14x - 2) + (- 34 - 14x)}[/tex]
[tex]\tt{5x + 34 - 34 - 14x = 14x - 2 - 34 - 14x}[/tex]
[tex]\tt{5x - 14x + 34 - 34 =14x-14x-2 - 34}[/tex]
[tex]\tt{- 9x = - 36}[/tex]
[tex]\tt{\frac{9x}{9} = \frac{36}{9}}[/tex]
[tex]\tt{x = 4}[/tex]
Wilma worked 38 hours 52 minutes last week. She earns $25.15 per hour. What is Wilma's pay for this work period? Round your answer to the nearest hundredth..
The total pay for hours worked is $980.013
Calculating total pay for the work hours?
The method with which a daily worker's wage is being paid is by calculating the total hours worked and multiplying it with the fixed hourly pay.
From the information given:
Wilma worked for = 38 hours 52 minutesIn hours, we have:
= (38 + 0.9667) hours
= 38.9667 hours
If a fixed hourly pay of $25.15 is being paid, we have:
= $(38.9667 × 25.15)
= $980.012505
= $980.013 to the nearest hundredth.
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The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in the table. The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity.
Based on the scatterplot, which equation BEST represents the relationship between velocity and time?
The regression equation that represents the relationship between velocity and time is:
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (t,v), that is, time and velocity, are given as follows:
(0, 6.1), (2.1, 12.2), (5.3, 17.4), (8.2, 26.4), (10, 28.1), (12.1, 32.8).
Hence, inserting these points into a calculator, the equation is given by:
v = 2.19t + 6.7.
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20 points !!!
help me please !!
Minimum: 59
Lower Quartile: 67
Median: 76
Upper Quartile: 86
Maximum: 92
Interquartile Range: 19
The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 20, 16, 21, 16, 22, 16, 15
Answer:
2.57
Step-by-step explanation:
The mean absolute deviation(MAD) of a data set is given by the formula
[tex]$ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$[/tex]
n = number of data set values. Here n=7
[tex]\bar{x}=[/tex]mean of the data set values = [tex](20+16+21+16+22+16+ 15)/7 = 126/7 = 18[/tex]
[tex]x_{i}[/tex] are the n individual values
Substituting in the summation we get
MAD = [tex]\frac{1}{7} |20-18| + |16-18| + |21-18| + |16-18| + |22-18| + |16-18| + |15-18|\\= (2 + 2 + 3 + 2 + 4+ 2 + 3)/7\\= 18/7 = 2.571428 \\[/tex]
Rounded to the nearest hundredth, the answer is 2.57
As of 2018, approximately what percentage of americans rely upon television broadcasts for their news?
More than 50% of Americans rely upon television broadcasts for their news.
News, current occasions and ancient programming can help make younger humans extra aware of other cultures and those. Documentaries can help increase vital thinking about society and the arena. television can help introduce teens to classic Hollywood movies and overseas movies that they might not otherwise see.
It broadens the know-how of various cultures, and promotes tolerance and international information of worldwide issues. Through contemporary affairs, discovery, lifestyle, cooking indicates and children's programs, television encourages medical and cultural interest.
Agree with and effect: television is the most relied on a form of marketing and stays maximumly probable to make consumers chortle, circulate them to tears or cause feelings. For example, television is with the aid of a long way the maximum relied on shape of video advertising in Canada. 70% of 18-34-year-olds named tv the most truthful compared to 12% for online video.
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5. During the season, the Rangers played 25 games. They won 14 of the games.
What fraction and percent of the games did they lose? Show your work in the
space below. Remember to check your solution.
Why is APR an important tool for consumers?
a. It allows consumers to borrow from more than one lender at the same time.
b. It allows consumers to compare the full cost of loans from different lenders.
c. It allows consumers to choose their level of down payment.
d. It provides an opportunity for consumers to become familiar with various interest calculators.
e. It provides consumers with negotiating skills to get lenders to reduce rates.
The option B is correct. APR is important tool because It allows consumers to compare the full cost of loans from different lenders.
According to the statement
we have to explain all about the APR and tel that why it is important for the consumers.
So, For this purpose,
We know that the
The term annual percentage rate of charge, corresponding sometimes to a nominal APR and sometimes to an effective APR.
It is the interest rate for a whole year, applied on the loan etc. It is a finance charge expressed as an annual rate
APR is the important tool for the consumers because of some reasons which are written below:
APR is important because it can give you a good idea of how much you'll pay to take out a loan.
APR helps a customer determine the true cost of the loan, allowing them to compare many loans and choose the most advantageous one.
So, The option B is correct. APR is important tool because It allows consumers to compare the full cost of loans from different lenders.
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Find the sum of the convergent series. (round your answer to four decimal places. ) [infinity] (sin(9))n n = 1
The sum of the convergent series [tex]\sum_{n=1}^{\infty}~(sin(1))^n[/tex] is 5.31
For given question,
We have been given a series [tex]\sum_{n=1}^{\infty}~(sin(1))^n[/tex]
[tex]\sum_{n=1}^{\infty}~(sin(1))^n=sin(1)+(sin(1))^2+...+(sin(1))^n[/tex]
We need to find the sum of given convergent series.
Given series is a geometric series with ratio r = sin(1)
The first term of the given geometric series is [tex]a_1=sin(1)[/tex]
So, the sum is,
= [tex]\frac{a_1}{1-r}[/tex]
= sin(1) / [1 - sin(1)]
This means, the series converges to sin(1) / [1 - sin(1)]
[tex]\sum_{n=1}^{\infty}~(sin(1))^n[/tex]
= [tex]\frac{sin(1)}{1-sin(1)}[/tex]
= [tex]\frac{0.8415}{1-0.8415}[/tex]
= [tex]\frac{0.8415}{0.1585}[/tex]
= 5.31
Therefore, the sum of the convergent series [tex]\sum_{n=1}^{\infty}~(sin(1))^n[/tex] is 5.31
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