1. Simplify:
50r2-20r
- 10r
A. -5r + 2
B. -5r-2
C. 5r2 +2
Answer:50r2−30r
Step-by-step explanation:
got it of the web.
Find the length of a side of a square if its area is 4/25 cm^2. *
Answer:
The length of a side of the square will b 2/5 cm.
Step-by-step explanation:
To find the area of a 2d object, you need to multiply length and width together. Since it's a square, all the sides are the same length, so that makes it easier. We need to find the square root of 4 and 25. [tex]\sqrt{4}[/tex] is 2, and [tex]\sqrt{25}[/tex] is 5.
Now we need to multiply 2/5 by itself to check. 2/5 x 2/5 = 0.16, or 4/25. The answer is correct. The final result is 2/5. Hope this helped!! :]
The area of a square is the square of one of its side lengths. The length of a side of the square is 2/5 cm
Given:
[tex]Area = \frac{4}{25}cm^2[/tex]
Shape: Square
The area of a square is:
[tex]Area = Length^2[/tex]
So, we have:
[tex]Length^2 = \frac 4{25}cm^2[/tex]
Take positive square roots of both sides
[tex]Length = \sqrt{\frac 4{25}cm^2}[/tex]
[tex]Length = \frac 2{5}cm[/tex]
Hence, the length of the square where the area is [tex]\frac 4{25}cm^2[/tex] is [tex]\frac 2{5}cm[/tex]
Read more about lengths of a square at:
https://brainly.com/question/2042017
For the two right triangles above, explain why a/8=x/12 . What trigonometric ratio is also equal to the two given ratios?
Answer:
sin trigonometry ratio
Step-by-step explanation:
Given
See attachment for triangles
Required
Explain why [tex]\frac{a}{8} = \frac{x}{12}[/tex]
From the attached diagram, both triangles are similar triangles because
(1) the second triangle is a dilation of the first triangle by a ratio of 1.5
i.e
[tex]k = \frac{12}{8}[/tex]
[tex]k = 1.5[/tex]
(2) They have angle 30 degrees, and have their right angles located at the same point
In the first triangle, the sine of 30 degrees is represented as:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
This gives:
[tex]sin(30) = \frac{a}{8}[/tex]
In the second triangle:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
So:
[tex]sin(30) = \frac{x}{12}[/tex]
By comparison:
[tex]sin(30) = sin(3)[/tex]
Hence:
[tex]\frac{a}{8} = \frac{x}{12}[/tex]
A train with a mass of 1570 kg is moving at 3.2 m/s collides with a train at rest with a mass of 1224 kg. They stick together and move as one. What is the velocity of both trains together?
m1V1 + m2V2 = total total
Emily has a box shaped like a rectangular prism that is full of sugar cubes. • Each sugar cube has a volume of 1 cubic centimeter. • The top layer has a width of 6 cm and a length of 11 cm. • There are 3 layers of sugar cubes.How many sugar cubes are in the box?
Answer:
Step-by-step explanation:
Please help!!!!!
Billy and Susie were saving up to buy the new Xbox. Billy got $50 for his birthday and saved $20 each week. Susie already had $25 and saved $40 each week. Write a system of equations to describe this situation.
Answer:
50+ 20x= y
25+ 40x= y
Explanation:
For Billy and Susie, the starting values are $50 and $25. You simply add that to the money saved per week ($20 and $40).
x= number of weeks
Compare the two box plots below. Which would have a larger IQR?
Box-and-Whisker Plots ( Read ) | Statistics | CK-12 Foundation
Question 4 options:
A.They have the same IQR
B. Varsity has a larger IQR
C. Junior Varsity has a larger IQR
D. There is not enough information provided
Answer:B. Varsity has a larger IQR
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Match the points on
the number line with the rational numbers they represent.
A
B
C
D
E
1.3
-1.7
1.7
-0.8
-0.2
Answer:
A: 1.7
B: 1.3
C: -0.2
D: -0.8
E: -1.7
Step-by-step explanation:
Which one is for inverse tangent?
Answer:
A
Step-by-step explanation:
i looked at my chart
Answer:
A
Step-by-step explanation:
Each student at school is given 7 folders on the first day of school. The number of folders
provided to students could be expressed as 7n (where n = number of students)
a) If there are 120 students in the school, the number of folders would be ___x__=____folders.
Write the sentence as an equation.
306 is equal to 80 subtracted from q
Answer:306 = 80-q is the answer
Mango mixed 24 ounces of blue paint with 16 ounces of red paint to create a new purple color. In order to create 72 more ounces of this exact purple color, how many ounces of red paint would she need
Answer: 28.8 ounces of red paint
Step-by-step explanation:
The total amount of paint created the first time Mango mixed colors was:
= 24 + 16
= 40 ounces of purple color
For 40 ounces of purple, 16 ounces of red was needed. Proportion is therefore:
= 16/40
If one wants 72 ounces of purple therefore:
= Proportion of red used * 72 ounces
= 16/40 * 72
= 28.8 ounces of red paint
f(x) = 2x^2 − 6x + 3 for x = −1
Given STU and DEF , what is m∠E
Answer:
105
Step-by-step explanation:
by sss congruency we conclude that they are similar.
29+46=75
180-75=105
Libby takes a test that has a total possible score of 800. Each question is worth the same
number of points. If she misses 3% of the questions, what is her score?
Answer:
Step-by-step explanation:
800(1-3/100)
800(100-3)/100
800(97)/100
77600/100
776 is her score.
A circle has a radius of 10 cm. Student tried to find the area of a sector in the circle where the radii formed a 60° angle. Explain two errors the student made.
Answer:
First the student used the formula for circumference instead of area. Then, the student should have written 60/360, not 60/100, because there are 360 degrees in a circle.
Step-by-step explanation:
Answer:
Sample response: First the student used the formula for circumference instead of area. Then, the student should have written 60/360, not 60/100, because there are 360 degrees in a circle.
Step-by-step explanation: Have a nice day<3
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
81/x - 3 = 6 2x - 3 = 15Answer:
it's only the last two
Step-by-step explanation:
3x + 2 = 25
3x + 2 - 2 = 3x
25 - 2 = 23
3x = 23
3x / 3 = x
23 / 3 = 7 2/3
x = 7 2/3 not this one
x/3 + 7 = 8
x/3 + 7 - 7 = x/3
8 - 7 = 1
x/3 = 1
x/3 * 3 = x
1 * 3 = 3
x = 3 not this one
4 + 5x = 18
4 + 5x - 4 = 5x
18 - 4 = 14
5x = 14
5x / 5 = x
14 / 5 = 2 4/5 not this one
24 - 2x = 13
24 - 2x - 24 = -2x
13 - 24 = -11
-2x = -11
-2x / -2 = x
-11 / -2 = 5 1/2 not this one
81/x - 3 = 6
81x - 3 + 3 = 81/x
6 + 3 = 9
81/x = 9
81/x * x = 81
9 * x = 9x
81 = 9x
81 / 9 = 9
9x / 9 = x
9 = x this one
2x - 3 = 15
2x - 3 + 3 = 2x
15 + 3 = 18
2x = 18
2x / 2 = x
18 / 2 = 9
x = 9 this one
Which is a quadratic function?
Answer:
it has two zeroes
it is of the form ax^2+bx+ c
thats all
Step-by-step explanation:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola.
What is the end behavior of f(x) =log3 (x+7) -1?
Answer:x=-4
Step-by-step explanation:
Which equation describes a line with
y-intercept (0,5) that passes through
the point (2, 1)?
Answer:
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have no more than $245
to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per
person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?
Answer:
9.25 + 25.75p ≤ 245
Step-by-step explanation:
I didn't see any inequality options to select from . . .
Someone please help me
Answer:
6
Step-by-step explanation:
The purple shape is dilated by a scale factor of 6.
Hope it helps and is correct!!!
You invest $7000 in an account bearing 5% interest for ten years. A. How much will the account be worth if compounded quarterly? What about monthly? Daily? B. What do you notice about the amount of additional money you make as the frequency of compounding increases?
Answer:quarterly, monthly, daily
Step-by-step explanation:
quarterly: y=7000 (1+.05/4)'10(4) answer y=11,505.34
monthly: y=7000 (1+.05/12)'10(12) answer y=11,529.07
daily: y=7000 (1+.05/365)'10(365) answer y=11,540.65
What do you notice about the amount of additional money you make as the frequency of compounding increases? The account is worth more
The account will be worth approximately $11,505 if compounded quarterly.
The account will also be worth approximately $11,540 if compounded daily.
A. Compounded quarterly:
n = 4 (quarterly compounding)
A = 7000(1 + 0.05/4[tex])^{(4)(10)[/tex]
A ≈ 7000(1.0125)⁴⁰
A ≈ 7000 x 1.643619463
A ≈ 11505.34
The account will be worth approximately $11,505 if compounded quarterly.
B. Compounded monthly:
n = 12 (monthly compounding)
A = 7000(1 + 0.05/12[tex])^{(12)(10)[/tex]
A ≈ 7000(1.00416666667)^(120)
A ≈ 7000 x 1.6487212707
A ≈ 11540.05
The account will be worth approximately $11,540 if compounded monthly.
C. Compounded daily:
n = 365 (daily compounding)
A = 7000(1 + 0.05/365)^(365*10)
A ≈ 7000(1.0001369863)^(3650)
A ≈ 7000 * 1.6487212707
A ≈ 11540.05
The account will also be worth approximately $11,540 if compounded daily.
B. As the frequency of compounding increases, the additional money earned (compared to simple interest) becomes more significant. In this case, regardless of whether the interest is compounded quarterly, monthly, or daily, the resulting values are very close to each other.
Learn more about Compound Interest here:
https://brainly.com/question/14295570
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A clothing store offers a 30% discount on all items at the store. If the original price of a sweater is $40, how much will you pay for the sweater at the discounted price?
Answer:
x=1
Step-by-step explanation:
5x-5=-3+b+(a-1)x
sat math
Answer:
81
Step-by-step explanation:
(I’m marking brainliest) plzzz help me out!!!
Answer:
14, 16, 18, 20
Step-by-step explanation:
write each expression in simplest form
12c - c =
Answer:
11c
Step-by-step explanation:
12c-c=11c
It would look like this without the variable (just to make it easier to understand)
12-1=11
In AMNP, what is sin M?
12
P
M
5
13
N
Answer:
A
Step-by-step explanation:
triangle ez ez and yes i am smart big brain
I’ll mark brainliest if correct :)
Answer:
x = -2
y = 9
Step-by-step explanation:
y = -3x + 3
y = 5x + 19
We can put one y as another:
-3x + 3 = 5x + 19
-8x = 16
x = -2
And now let's check using x = -2
y = (-3 * -2) + 3
y = (5 * -2) + 19
y = 6 + 3
y = -10 + 19
y = 9
y = 9
A box has a volume given by the trinomial x^3 + 4x^2 — 32x. What are the possible dimensions of the box?
Answer:
x(x-4)(x+8)
Step-by-step explanation:
Factor.
x(x^2+4x-32)
x(x-4)(x+8)