Hi there! :)
[tex]\large\boxed{A = 12.5 \text{ units}^{2}}[/tex]
Find the area of the shape using the formula for the area of a trapezoid:
A = 1/2(b1 + b2) · h
Where:
b1 = base 1
b2 = base 2
h = height
A = area
Plug in the given bases and height:
A = 1/2(7.5 + 2.5) · 2.5
Simplify:
A = 1/2(10) · 2.5
A = 5 · 2.5
A = 12.5 units²
⚠️PLEASE HELP⚠️
What is the value of the interquartile range of the data below?
25
30
35
40
45 50
Answer:
5
Step-by-step explanation:
The value of the interquartile range of the data below is 5.
What is Interquartile Range?The difference between the third and the first quartile is defined by the interquartile range. There are so three quartiles.
The first quartile, also known as the lower quartile, is marked by Q1, the second quartile by Q2, and the third quartile, sometimes known as the upper quartile, is denoted by Q3. The lower quartile less the upper quartile equals the interquartile range.
From the Plot we can write
Minimum = 27
Lower quartile = 32
Median = 36
Upper Quartile = 37
Maximum = 40
So, Interquartile range (IQR)
= Third Quartile (Q3) - First Quartile (Q1)
= 37 - 32
= 5
Learn more about IQR here:
https://brainly.com/question/16361595
#SPJ7
prove that the roots of x2+(1-k)x+k-3=0 are real for all real values of k
The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
The equation is given as:
x^2 + (1 - k).x+k-3 = 0
For an equation to have real root, then the following must be true:
[tex]b^2 \ge 4ac[/tex]
In x^2 + (1 - k).x+k-3 = 0, we have:
a = 1
b = 1 - k
c = k - 3
So, we have:
[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]
Evaluate
[tex]1 - 2k + k^2 \ge 4k - 12[/tex]
Collect like terms
[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]
[tex]k^2 - 6k + 13 \ge 0[/tex]
Using a graphing calculator, the value of k is all real numbers
Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
Read more about real values at:
https://brainly.com/question/6499629
Select all the expressions that are solutions to 9 = 1/3x
Answer:
first and last expressions are correct.
which is equivalents to 9/8
Answer:
12
Step-by-step explanation:
Answer: 9/8 , 18/16 , 27/24 , 36/32 , 45/40 , 54/48 , 63/56
at a farm the ratio of the number of hens to the number of ducks is 3:5 there are 125 ducks at the farm how many hens are there on the farm
3 : 5
x : 125
125 ÷ 5 = 25
25 × 3 = 75
no. of hens = 75
Please answer quick and just write explanation quick pls hurry quick for brainlessly uu
Answer:
35 (C)
Step-by-step explanation:
Answer:
B) 30
Step-by-step explanation:
This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.
One bar of candy A and two bars of candy B have 777 calories. Two bars of candy A and one bar of candy B contain 783 calories. Find the caloric content of each candy bar.
Answer:
A has 263 calories
B has 257 calories
Step-by-step explanation:
system of equations:
a + 2b = 777
2a + b = 783
I multiplied the first equation by -2 to eliminate the 'a' terms
-2a - 4b = -1554
+ 2a + b = 783
-3b = -771
b = 257
solve for 'a'
a + 2(257) = 777
a + 514 = 777
a = 263
I need help ASAP ! I’ll give anyone 5 stars for the correct answer
Step-by-step explanation:
[tex]f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10[/tex]
4/9x6= (write in simplest form)
Answer:
24/7
Step-by-step explanation:
Answer:
8/3
Step-by-step explanation:
4 * 6 = 24 8
9 9 3
Pancake Palace puts a pint of maple syrup on each one of their 16 tables. The owner is filling the syrup bottles before the restaurant opens. If the bottles are half full, how many quarts would he need to fill the bottles?
Answer:
64 quarts of maple syrup needed
Step-by-step explanation:
There are a total of 2 quarts in a 1 pint. Therefore, since there are a total of 16 tables and each one has 1 pint, then there are a total of 16 pints in the restaurant. If we multiply this by 2 we get the total amount of quarts of maple syrup in all of the tables
16 * 2 = 32 quarts of maple syrup
Since the bottles are only half full we need to multiply this amount by 2 in order to get the total syrup needed to have all of the bottles filled completely.
32 * 2 = 64 quarts of maple syrup needed
Answer:
4 Quarts
Step-by-step explanation:
You need to find how much maple syrup the owner needs to fill the bottles. But first, you need to find how much syrup the bottles hold in all.
There are 16 bottles. Each bottle holds 1 pint of maple syrup. So, the bottles hold a total of 16 pints of syrup.
Now, find how much maple syrup the owner needs. The bottles hold a total of 16 pints of syrup. Because they are half full, divide by 2.
16÷2=8
The owner needs 8 pints of maple syrup, but the problem asks about quarts. So, find how many quarts are equal to 8 pints. There are 2 pints in a quart, so divide by 2.
8÷2=4
The owner needs 4 quarts of maple syrup to fill the bottles.
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what is the equation to 3x+2x+-x
Answer:
the answer qould be 4x if you are just simplifying
I need help with my homework
Find the area of the shape shown below.
Answer:
42
Step-by-step explanation:
Because of its shape I would imagine another flipped so it makes a square then solve for the square the divide.
7 x 12 =84
84÷2=42
I don’t know what to do
Answer:
i think it would be the first one i am not 100% sure just a gues
Step-by-step explanation:
The perimeter of a rectangular lawn is 24m. If
the area of the lawn is 35m2; how wide is the
lawn?
Answer:
.
Step-by-step explanation:
.///////
What is the area of the part that is not shaded.
Answer: 48
Step-by-step explanation:
big square is 64, shaded square is 16
64-16= the unshaded region
5 more than a number m equals 8
Answer: m=3
Step-by-step explanation:
This could be written as m+5=8
You would then do the inverse to 'undo' the equation. So instead of adding 5 you would take away 5 from 8.
8-5=3
Hope this helps :)
Solve for y
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
5y +3> -7y + 13
Answer:
y > 5/6
Step-by-step explanation:
that's what i got
let me know if it was right
if it was pls mark brainlest
Answer:
y>5/6
Step-by-step explanation:
Got it right
Find the radius of a circle in which the central angle, a, intercepts an arc of the given length
a = 30°, s = 9in
Answer:
17.2 in
Step-by-step explanation:
The formula for arc length is s = rФ. Here we are to find r. Solving this formula for r, we get:
r = s/Ф
So, in this problem, r = (9 in) / (π/6) = 54/π in ≈ 17.2 in
please write an equation of a line in slope-intercept form with the given slope and y-intercept.
A. slope: -6, y-intercept: -2
B. slope: 1, y-intercept: -12
the u.s. landfill contained a total of 200 million tons of trash how many more million tons of trash has been paper than Rubber and leather?
Answer:
9,160,000 tons
Write an expression for the following statement:
“Twice a number is subtracted from eighteen”
Answer:
Expression of the statement = 18 - 2x
Answer:
18 - 2x
Step-by-step explanation:
Help me answer this please!!
Answer:
Step-by-step explanation:
Alyssa will correctly label the numbers 48.8 48 48.09 and 48 on the number line below Which number will be located closest to 48
Answer:
the answer is (6*10^6)
Step-by-step explanation:
Multiply the beginning numbers and add the exponents.
What is the area of the polygon given below?
A. 55 square units
B. 186 square units
C. 131 square units
D. 66 square units
Answer:
○ B. [tex]\displaystyle 186\:square\:units[/tex]
Explanation:
All edges conjoin to form right angles, therefore you have these:
[tex]\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7[/tex]
OR
[tex]\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11[/tex]
I am joyous to assist you at any time.
Sandra buys stamps that cost $0.65 each she spends a total of $158.60 on the stamps. To determine how many stamps she buys, she needs to divide $158.60 by $0.65
Answer:
True
Step-by-step explanation:
When she divides both numbers, she can find out how many stamps she bought. When you solve the equation, we can see that she bought 244 stamps. We can check this by doing inverse operations. 244 x 0.65 (the price for each stamp) = 158.60
i hope that this helps you :)
a local hamburger shop sold a combined total of 613 hamburgers and cheeseburger on Friday. there were 63 more cheeseburger sold than hamburger. How many hamburger were sold on friday
Answer:
275 hamburgers was sold on Friday
The area of a rectangular living room is 99 square feet. The width of the room is 9 feet. What is the perimeter of the room?
First find the length of the room by dividing the area by the width:
99 / 9 = 11
2 walls would be 9 feet and 2 walls would be 11 feet.
Perimeter is the sum of the 4 walls:
11 + 11 + 9 + 9 = 40 feet
The demand d for a company’s product at cost x is predicted by the function d(x) = 500 – 2x. The price p in dollars that the company can charge for the product is given by p(x) = x + 5. Use the formula Revenue = price × demand to find the revenue function for the product.
R(x) = ________ + ________ x – _______ x^2
Answer:
-2x²+490x+2500
Step-by-step explanation:
Given that,
Demand, D(x) = 500-2x
The price for the product, P(x) = x+5
We need to find the revenue for the product. The formula for the revenue is given by :
Revenue = price × demand
Substitute all the values,
R = (x+5)(500-2x)
= 500x -2x² + 2500 -10x
= -2x²+490x+2500
So, the expression for the revenue function is "-2x²+490x+2500".
find the following sum 7(3x2+2x-5)+2(-x2+3)
I think is -7
Step-by-step explanation:
because I calculated I'm not sure tho