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What is the range of the following set?
28, 45, 12, 34, 36, 45, 19, 20
8
33
45
57
Keisha's boat has a top speed of 9 miles per hour in still water. While traveling on a river at top speed, she went 10 miles upstream in the same amount of time she went 20 miles downstream. Find the rate of the river current.
an artist painted a 6 foot tall painting, then decide to also create a smaller version. if she uses a scale of 4 inches=1.5 feet, what will be the height of the smaller painting
Final answer:
To determine the height of the smaller version of the painting using the scale of 4 inches = 1.5 feet, we first convert the original height to inches (6 feet = 72 inches) and then use a proportion to find that the height of the smaller painting is 16 inches.
Explanation:
The student's question involves using a scale to determine the height of a smaller version of a painting. The scale given is 4 inches = 1.5 feet. To begin, we convert the original height of the painting from feet to inches since the scale is in inches. The original height of 6 feet is equivalent to 72 inches (because 1 foot is equal to 12 inches).
Next, we set up a proportion using the scale:
4 inches / 1.5 feet = x inches / 6 feet
Now we solve for x, which represents the height of the smaller painting in inches:
4 / 1.5 = x / 6
4 / 1.5 * 6 = x
x = 4 * 6 / 1.5
x = 24 / 1.5
x = 16 inches
Thus, the height of the smaller version of the painting will be 16 inches.
A computer program in Shannon’s computer carries out a single mathematical operation in 1.5 × 10-6 seconds. How much time would the program take to complete 2.5 × 103 mathematical operations?
You forgot A, B, C, and D but the correct answer is option D, 3.75 x 10 ^ -3 seconds
the second of two numbers is 4 more than the first the sum of the numbers is 56 find the numbers
Answer:
26, 30
Step-by-step explanation:
If you subtract from the sum the excess of the second over the first, you have a sum that is twice the first.
first number = (56 -4)/2 = 26
The second number is 4 more, so is ...
second number = 26 +4 = 30
_____
Check
Their total is 26 +30 = 56, as required.
Karina read a total of 20 2/4 pages in her science and social studies books combined she read 12 3/4 pages in her science book how many pages did she read in her social studies book?
Final answer:
To find out how many pages Karina read in her social studies book, you subtract the number of pages read in the science book from the total pages read. After doing the math, Karina read 8 1/4 pages in her social studies book.
Explanation:
Karina read a total of 20 2/4 pages in both her science and social studies books combined. It is mentioned that she read 12 3/4 pages in her science book. To find out how many pages she read in her social studies book, one must subtract the pages read in the science book from the total pages read.
The subtraction of mixed numbers involves the following steps:
First, make sure the fractions have the same denominator.
Then, subtract the fractions.
If necessary, borrow from the whole number and reduce the fractions further.
Finally, subtract the whole numbers.
In this case:
Total pages - Science book pages = Social Studies book pages
20 2/4 - 12 3/4 = 7 5/4 or 8 1/4 pages (since 5/4 is equal to 1 and 1/4).
Therefore, Karina read 8 1/4 pages in her social studies book.
Please help:
Solve using logarithms. Round the solution to the nearest hundredth. Show your work.
(you will need to use a calculator at some point)
Container A can hold 9 cups of liquid. container B can hold 5 pints of liquid. Container c can hold 2 quarts of liquid. Whice container has the greatest capacity? Explain
A band that will be the opening act for a concert charges a $500.00 flat fee as well as 10% of all profits from ticket sales. If the band earns $1,200, how much was made in total ticket sales for the show?
Answer:
The answer is 7,000
Your welcome ;)
solve the following system using substitution x+4y=21 4x-y=16
2.7 Q9
The functions f and g are defined by the following tables. Use the tables to evaluate the given composite function.
Answer: [tex](gof)(-1)=-2[/tex]
Step-by-step explanation:
By definition, a composite function is a function formed by substituing one function into another function.
Given the composite function:
[tex](gof)(-1)[/tex]
You can rewrite it in the following form:
[tex]g(f(-1))[/tex]
In order to evaluate it, follow these steps:
- Based on the table of the function f(x), the ouput value for [tex]x=-1[/tex] is [tex]y=3[/tex]. Then:
[tex]f(-1)=3[/tex]
- This will be the input of the function g(x).
- Notice in the table of the function g(x) that the output value when [tex]x=3[/tex] is [tex]y=-2[/tex]:
[tex]g(3)=-2[/tex]
Therefore:
[tex]g(f(-1))=-2[/tex] or [tex](gof)(-1)=-2[/tex]
Answer:
The value of [tex]\rm{gof(-1)}[/tex] is -2.
Step-by-step explanation:
Given,
The table contains the functional value of f(x) and g(x).
To find: [tex]\rm{gof(-1)}[/tex]
[tex]\rm{fog(-1)}[/tex] is a composite function of f(x) and g(x).
[tex]\rm{gof(-1)}=\rm{g[f(-1)}][/tex]
Clearly from the table, the value of f(x) when [tex]x=-1[/tex] is 3.
Therefore,
[tex]f(-1)=3[/tex]
Now,
[tex]\rm{gof(-1)}=\rm{g[f(-1)}]\\\rm{fof(-1)}=\rm{g(3)}[/tex]
Clearly from the table, the value of g(x) when [tex]x=3[/tex] is -2.
Thus,
[tex]\rm{gof(-1)}=-2[/tex]
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12km is equal to how many meters? (show all work)
Keshawn is constructing the inscribed circle for △PQR . He has already used his compass and straightedge to complete the part of the construction shown in the figure. Which construction could be his next step? Construct the angle bisector of ∠XQR . Construct the line through points P and X. Construct the perpendicular bisector of PQ¯¯¯¯¯ . Construct the perpendicular to QR¯¯¯¯¯ that passes through point X.
Answer:
Construct the perpendicular to QR¯¯¯¯¯ that passes through point X.
Step-by-step explanation:
Membership in the Volunteers Club increased by 15% from last year. If the number of members last year was m, complete a simplified expression to represent the number of members this year. Enter your answer in the box.
what is the difference of the rational expressions below? 13x/5 - 4x/5
a. 9x/5
b. 17x/5
c. 52x/5
d. 52x/25
HELP!!
4. What are the values of x and y?
A) x=9/4, y=3/4
B) x=9/4, y=15/4
C) x=15/4, y=5/4
D) x=3/4, y=15/4
THANK YOU
The boys' basketball team at Washington High School has been doing really well so far this year. In the past six games, they've scored the following points.
84, 67, 74, 87, 67, 73
What is the mean of their scores, rounded to the nearest tenth?
Answer:
(84 +67 +74 +87 +67 +73)/6 = 452/6 = 75.3
Step-by-step explanation:
Exactly what you see :]
This week laptops are 25 percent off if a laptop cost $340 what is it's sale price
Reciprocal of 1/10 = ?
Reciprocal of 16 = ?
An observer in a lighthouse 350 feet above sea level observes two ships directly offshore. The angles of depression to the ships are β = 7° and θ = 10.5° (see figure). How far apart are the ships? (Round your answer to one decimal place.) ft
The ships are 21.5 feet apart.
We have,
Let's denote the distance between the observer and Ship 1 as x and the distance between the observer and Ship 2 as y.
Using the angles of depression, we can establish the following relationships:
tan(β) = x / 350
tan(θ) = y / 350
We need to find the distance between the ships, which is the difference between x and y.
To find x and y, we can rearrange the equations as follows:
x = 350 * tan(β)
y = 350 * tan(θ)
Now, we can calculate the distances x and y using the given angles of depression:
x = 350 * tan(7°)
x ≈ 42.9 feet
y = 350 * tan(10.5°)
y ≈ 64.4 feet
The distance between the ships is the difference between x and y:
Distance = y - x
Distance ≈ 64.4 - 42.9
Distance ≈ 21.5 feet
Therefore,
The ships are 21.5 feet apart.
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if the area of a rectangle is 42 feet. what could be possible lengths and widths of the rectangle? 42=__×___
what is the proportion 5.2/8=y/6
BRAINLIEST!!!!!!!
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.
Answer:
92 is correct
Step-by-step explanation:
during the new year celebration there are orange, green purple, and blue fireworks. In how many different orders can the different colors of fireworks appear?
There are 24 different orders in which the different colors of fireworks can appear.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If there are four colors of fireworks (orange, green, purple, and blue), then the number of different orders in which they can appear can be found by calculating the number of permutations of four objects, which is:
4! = 4 x 3 x 2 x 1 = 24
Therefore,
There are 24 different orders in which the different colors of fireworks can appear.
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Gracie can purchase 5 oranges for $4 but she only wants one what is the cost of one orange
An airplane is flying at an altitude of 10,000 feet when it receives clearance to land at the airport. The angle of depression from the airplane to the airport is 4o. What is the horizontal (ground distance) from the airport to the airplane's position?
Jenna has 8 pairs of jeans. Three of them are blue. What percentage of her jeans is blue?
= 37.5%
But my question is this:
Jenna bought two more pairs of jeans.
If both of them are blue, what percentage of her jeans is blue now?
If both of them are not blue, what percentage of her jeans is blue now?
Identify the graph that displays the altitude of a skydiver as he is taken up in a plane and then jumps.
Answer:
A is your answer
Graph Below
Joe’s current age is five times Mary’s age ten years ago. If Mary is currently m years old, what is Joe’s current age in terms of m?
Answer:
5m + 10
That should be it, you may need to simplify.
Sorry if its wrong, but i think this is it.
Step-by-step explanation: