Answer:
The entire trapezoid is 48 units sq
the cut out part is 30
the trapezoid without the cutout is 18
Step-by-step explanation:
5+y=y+5 which property of addition commutative,associative,additive ifentity property,additive identity property ,
Answer:
commutative
Step-by-step explanation:
Commutative property says changing the order of addends does not change the sum.
Answer:
commutative
Step-by-step explanation:
Commutative property says changing the order of addends does not change the sum.
Jewel completed 12 out of 20 of her homework questions last night. What percent did she complete?
Answer:
60%
Step-by-step explanation:
12/20 = 3/5 = 0.6 = 60%
Hey there! To find out how much of her homework Jewel completed, all we need to do is a little math. First, let's divide the number of questions she did by the total number of questions. That's 12 divided by 20 which equals 0.6.
Now, we just need to turn that decimal into a percentage. To do that, we simply multiply 0.6 by 100, which gives us 60. And voila! Jewel completed 60% of her homework.
If f(x)=x² – 4x, what is the value of 2f(a-1)?
The correct value of 2f(a-1) is 2a^2 - 12a + 10.
To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.
Given: f(x) = x^2 - 4x
Substituting (a-1) into the function:
f(a-1) = (a-1)^2 - 4(a-1)
Expanding and simplifying:
f(a-1) = (a^2 - 2a + 1) - (4a - 4)
f(a-1) = a^2 - 2a + 1 - 4a + 4
f(a-1) = a^2 - 6a + 5
Now, we multiply the result by 2:
2f(a-1) = 2(a^2 - 6a + 5)
Expanding:
2f(a-1) = 2a^2 - 12a + 10
Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.
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a line passeds througt the point (4, -6) and has a slope of -3/4. which is the equation of the line
Answers :
y+7=-4x+32
y=-4x+25 is answer
Step-by-step explanation:
Eq of a line y-p=m(x-q) where (q,p) is any point on the line and m is slope
y-(-7)=-4(x-8)
A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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An author writes 22 pages of her book each week she has already written 58 pages and expect to have 280 pages in her first draft how long will it take the author to finish her first draft
The options are in the picture
9514 1404 393
Answer:
(a) 22w +58 = 280
Step-by-step explanation:
At 22 pages each week, after w weeks, the author will have written 22w pages. When this is added to the number already written, the result is the expected total:
22w +58 = 280
Solving this will tell how many weeks it will take.
help me please please please
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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There were 120 students at a creative writing workshop last year. This year there are 138 students. What is the percent of increase in the number of students at the workshop?
Answer:
34%
Step-by-step explanation:
The percent of increase in the number of students at the workshop is 15%.
Given that, there were 120 students at a creative writing workshop last year. This year there are 138 students.
What is percentage increase formula?The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time. Mathematically, this formula is represented as the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.
Here, initial value = 120 students and final value = 138 students.
Difference in value = Final value - Initial value
=138-120=18
Percentage of increase = \(\frac{18}{120}\times 100\)
= 15%
Therefore, the percent of increase in the number of students at the workshop is 15%.
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Answer the questions below to find the total surface area of the can.
Ab=3.14xRadious to the power of 2
then to the area of the rectange you do B x H = YOUR ANSWER
An ecological group suspects lobsters are consuming dangerous levels of mercury in a region of the world. Dangerous levels of mercury are classified when they reach beyond 6.5 parts per million. A random sample of 25 lobsters in the region were tested and the data is shown in the stemplot.
Stemplot for Mercury Levels.
2|2 4;
2|;
3|1 4;
3|5 8;
4|0 2;
4|5 6;
5|0 1 3 3 4;
5|6 8 9;
6|3 4;
6|6 7 8;
7|1 2;
7|
Key: 2|2 = 2.2 parts per million
Part A: What proportion of the lobsters in the sample have dangerous levels of mercury in their systems? (4 points)
Part B: Construct and interpret a 95% confidence interval for the mean mercury levels of the lobsters if the sample of 25 lobsters has a mean mercury level of 5.05 parts per million and standard deviation of 1.45 parts per million. (6 points)
Part A: 5 out 25 lobsters have dangerous levels of mercury
Part B: the 95% confidence interval is given by (4.45, 5.65)
since everything is given all I had to do is find the critical value which can be found from the resource packet = 2.064
Using the formula we find 5.05+-2.064*1.45/5 = ( 4.45,5.65)
For this case, we have 95% of confidence that the true mean for the average number of lobsters with dangerous levels of mercury is between 4.45,5.65
\((2w + 1) {}^{2} \)
Answer:
4w^2 +4w+1
this is the product.
Step-by-step explanation:
Answer:
4w^2+4w+1 is very correct
Step-by-step explanation:
so I just wanted to explain more
so you expand the question like this
(2w+1)(2w+1) then
further expand by 2w(2w+1)+1(2w+1) so you use what was in the first bracket to multiply the second bracket
then it will be 2w×2w= 4w^2 that how I got that part so you multiply what's in the bracket by what is outside of it = 4w^2 +2w+2w+1 = 4w^2 +4w not 4w^2 because it's not multiplication +1
4(3x - 2 + 1 ) + 23 + 2x
Step-by-step explanation:
first you distribute
12x - 8 + 4 +23 +2x
than you add the numbers without the variable so...
-8+4+23= 19
Add the # with variables
12x+2x= 14×
then you get
14x=19
divide by 14 in each side
x=1.4
Oreana's 150 g bag of trail mix is x% raisins. Brandon's 250 g bag of trail mix is y% raisins. They combine the two mixes together in one bowl.
Write an expression which shows how many grams of raisins are in the bowl
The expression which shows how many grams of raisins are in the bowl will be
(0.01x) * 150 + (0.01y) * 250
What is the expression that shows the raisin?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
The expression which shows how many grams of raisins are in the bowl will be:
= (x% × 150) + (y% × 250)
= (0.01x) * 150 + (0.01y) * 250
This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.
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Solve the equation algebraically. x^2-7x-1/7=0
Answer:
\(x1=\frac{49+\sqrt{2429}}{14} \\x2=\frac{49-\sqrt{2429}}{14} \\\)
Step-by-step explanation:
\(x^2-7x-\frac{1}{7} =0\\7x^2-49x-1=0\\D=b^2-4ac=(-49)^2-4*7*(-1)=2429\\x1=\frac{49+\sqrt{2429} }{14} \\x2=\frac{49-\sqrt{2429} }{14} \\\)
Elsie bought a dress that was discounted 35% off of the original price of $140. What was the amount of the dress after 8% sales tax? $
Answer:
$98.28
Step-by-step explanation:
35% of $140=49
140-49=91
8% of 91=7.28
91+7.28= 98.28
f(x) = x2 + 1 g(x) = 5 – x
(f + g)(x) = (f – g)(x) =
Answer:
Step-by-step explanation:
Hello,
\(\forall x \in \mathbb{R} \\\\(f+g)(x)=f(x)+g(x)=x^2+1+5-x=x^2-x+4 \\\\(f-g)(x)=f(x)-g(x)=x^2+1-5+x=x^2+x-4\)
Thanks
Answer:
c for the first one and a for the second one
Step-by-step explanation:
just did it on edg
A local hamburger shop sold a combined total of 685 hamburgers and cheeseburgers on Sunday there were 65 fewer cheeseburgers sold than hamburgers how many hamburgers were sold on Sunday
Answer:
32
Step-by-step explanation:
Alexander built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and the net of the toy box. NET OF TOY BOX is 14 cm 10 cm 9 cm What is the surface area, in square centimeters, of the toy box?
The surface area of the toy box is 712 square centimeters.
Describe Surface Area?Surface area is the measure of the total area that the surface of an object occupies. In other words, it is the sum of the areas of all the faces or surfaces of the object.
For example, consider a rectangular prism with dimensions length (l), width (w), and height (h). The surface area of this object would be the sum of the areas of all six faces, which are:
Two rectangular faces with area lw
Two rectangular faces with area wh
Two rectangular faces with area lh
So the total surface area of the rectangular prism would be:
Surface area = 2lw + 2wh + 2lh
The concept of surface area is useful in various fields, such as architecture, engineering, and physics. For example, in construction, knowing the surface area of a structure can help estimate the amount of materials needed for construction, such as paint or roofing tiles. In physics, surface area is important in determining the heat transfer and rate of reaction of a substance.
The surface area of the toy box can be found by summing the areas of its six faces. From the given net, we can see that the toy box has dimensions of 14 cm by 10 cm by 9 cm.
The top and bottom faces have areas of 14 cm × 10 cm = 140 cm² each.
The front and back faces have areas of 14 cm × 9 cm = 126 cm² each.
The left and right faces have areas of 10 cm × 9 cm = 90 cm² each.
Therefore, the total surface area is:
2(140 cm²) + 2(126 cm²) + 2(90 cm²) = 280 cm² + 252 cm² + 180 cm² = 712 cm²
Thus, the surface area of the toy box is 712 square centimeters.
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At the annual school track meet, two sprinters will race for 80 meters.
Sprinter A runs 9 meters per second.
Sprinter B runs 9 meters per second.
Sprinter B is given a 14 meter head start.
Select all the statements that are true.
A. The graphs of these two functions never intersect before the race end.
B. Sprinter B will win the race.
C. Sprinter B is leading the race at the 4 second mark.
The statements that are true with regards to the graph of the functions and the sprinter that wins and lead the race are;
The true statements are; A, B, and C
What is the graph of a function?The graph of a function visually represents the rule of the function showing how the output values of the function changes as the input value varies.
The distance the two sprinter's will run = 80 meters
The speed of sprinter A = 9 meters per second
The speed of sprinter B = 9 meters per second
The head start of sprinter B = 14 meter
The analysis of the statements are as follows
A. The graph of the functions representing the speeds of the sprinters have the same slope of 9 which is the rate of change of distance with time, therefore, the graphs are parallel and will never intersect.
The statement is therefore; True
B. Sprinter B will win the race. - True
Sprinter B has a head start of 14 meters and both sprinters have the same speed, therefore, sprinter B will reach the finish line first and win the race.
C. Sprinter B is leading the race at the 4 seconds mark;- True
Sprinter A will cover a distance of 9 m/s × 4 s = 36 m at the 4 seconds mark, while sprinter B will cover a distance in the 80 m race of 9 m/s × 4 s + 14 m = 50 m at the 4 second mark, therefore, sprinter B will be leading at the 4 second mark
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HELP ME!!!!!
Solve. −n/2 + 3/8 = −6 7/8 Enter your answer as a mixed number in simplest form in the box.
find the general solution for: cos(x+30)=-1
The required, general solution for x that satisfies the equation cos(x + 30) = -1 is x = (2n + 1)π - 30.
To find the general solution for the equation cos(x + 30) = -1, we can start by considering the general form of the cosine function. The cosine function has a period of 2π, meaning it repeats every 2π radians.
In this equation, we have cos(x + 30) = -1. Since the cosine function has a maximum value of 1 and a minimum value of -1, the only way for cos(x + 30) to equal -1 is if x + 30 is an odd multiple of π. We can write this as:
x + 30 = (2n + 1)π
Here, n is an integer representing the number of periods of the cosine function. To find the general solution, we can solve for x by subtracting 30 from both sides:
x = (2n + 1)π - 30
This equation gives us the general solution for x that satisfies the equation cos(x + 30) = -1. We can see that for each integer value of n, we have a different solution.
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What is the surface area of the image below I’ll give b brainliest
Answer:
50(5π + 6) cm²
Step-by-step explanation:
TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle
= 1/2 of 2πr(h+r) + 20*15
= πr(h+r) + 300
= 10π(15+10) + 300
= 250π + 300 cm²
or 50(5π + 6) cm²
A board of governors publishes information on family net worth. In 2010, the mean net worth of families in a particular country was $487.4 thousand and the median net worth was $77.7 thousand. Which measure of center do you think is more appropriate? Explain your answer. Choose the correct answer below. A. The mean because it is not strongly affected by the relatively few families with extremely low net worth. B. The median because it is not strongly affected by the relatively few families with extremely low net worth. C. The mean because it is not strongly affected by the relatively few families with extremely high net worth. D. The median because it is not strongly affected by the relatively few families with extremely high net worth. E. The mean because it takes into account each family's net worth in the country. F. The median because it takes into account each family's net worth in the country.
Answer:
D. The median because it is not strongly affected by the relatively few families with extremely high net worth.
Step-by-step explanation:
If the median net worth of families in a particular country was $77.7 thousand.
It means that at least half of the families in the country have a net worth of $77.7 thousand or below.
However, for the mean net worth of the families to be $487.4 thousand, there have to be some extremely high net worth families.
Median is the preferred measure of central tendency when there are a few extreme scores in the distribution of the data. as a single outlier can have a great effect on the mean
Therefore, the median is an appropriate measure of the center because it is not strongly affected by the relatively few families with extremely high net worth.
PLEASE HELP ME ASAP! CLICK ON THE PICTURE AND ZOOM IN TO HELP ME!
Answer:
A.
Step-by-step explanation:
Janes Raise: 4% of 41,200:
1648
Johns Raise; 4.5% of 43,900:
1975.4
Jacks Raise: 3% of 39,700:
1191
1648+1975.5+1191 = 4,814.5 which is about $4,815
3. Carissa is considering job offers from two companies. Company A offered her a starting salary of $45,000 with a $2100 raise at the end of each year. Company B offered her a starting salary of $45,000 with a 4.2% raise at the end of each year. Let f(t) represent Carissa's salary at Company At years after accepting a position at Company A, and let g(t) represent Carissa's salary at Company B t years after accepting a position at Company B. a. Find a function formula for f. b. Find a function formula for g. C. If Carissa was expecting to work for 5 years before going back to school, which company do you think she should work for? Use your functions to justify your answer. I d. If Carissa was expecting to work for 10 years before going back to school, which company do you think she should work for? Use your functions to justify your answer.
Let f(t) be 51000+ (2100)t which represent Chelsea's salary at Company A and g(t) be 45000(1.041)t which Chelsea salary at Company B.
Chelsea's offer from company A includes a raise of $2100 annually and a starting salary of $45,000.
Since the increase is constant, the salary of Chelsea from Company A is a linear function, as can be seen here.
f(t) is salary of chelsea from company A after t years.
f(t) = 45000+ (2100)t
The offer made to Chelsea by company B includes a starting salary of $45,000 and an annual raise of 4.1%.
we can see here that raise is exponential, so raise is:
(1+4.1/100) = (1+0.041) = (1.041) per year.
Consequently, the salary of Chelsea from Company B is a function that is exponential.
g(t) is salary of chelsea from company B after t years.
g(t) = 45000(1.041)t
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Giving brainliest, 5 stars, and a thanks to whoever answers correctly. Just read the statement and fill in the blanks
Kiki has 1/6 pound of blueberries and 5/8 pound of raspberries.
What is the most accurate estimate for the difference between the pounds of berries?
Drag and drop an answer into each box to correctly complete the statements.
1/6 is closest to (_), and 5/8 is closest to (_). So the difference is closest to (_)
Answer:
11/24 is how far off they are from each other. I dont know if it is asking something else though.
Step-by-step explanation:
5/8 - 1/6 =
first off, if you multiply the top and bottom of any fraction by the same thing, it will be equal to the originial fraciton. Based on that, and the fact that you needd to have the same denominator, you just multiply the other fraction by the denominator of the first one.
so it becomes:
30/48 - 8/48
which is 22/48 which simplifies to 11/24.
Draw a line from the figure to the area of the figure.
13 square units
14 square units
15 square units
Hurry please do tomorrow this is a 3rd grade problem
To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.
How do you Draw a line?Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.
E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.
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1.2 if a = -6, b = +4, c = -3 and d = -2 Calculate the value of :-
a) ab
b) a÷d
c) 2bd
Answer:
a)ab=-6×+4=-24
b)a÷d=-6÷-2=3
c)2bd=2×+4×-2=-16
Step-by-step explanation:
Put the values according to the question
Hope it help you
(x−5)÷3=21 HELP ME PLZ PEOPLE
Answer:
x=68
Step-by-step explanation:
(x-5)/3=21
x-5=63 (multiplied by 3)
x=68 (added 5)
Work out the area of this triangle, stating the units of your answer.