Step-by-step explanation:
➡(5x-2)(5x+2)=12
➡5x^2-(2)^2=12
➡25x^2-4=12[/tex]
➡25x^2=12+4=16
Step-by-step explanation:
[tex] \rm \mapsto \: (5x - 2)(5x + 2) = 12 \\ \rm \mapsto \: 5x(5x + 2) - 2(5x + 2)=12 \\ \rm \mapsto \: {25x}^{2} + 10x - 10x - 4 =12\\ \rm \mapsto \: {25x}^{2} - 4=12 \\ \rm \mapsto \:25x^2=12+4 \\ \rm \mapsto \: 25x^2=16[/tex]
Ravi is running against two other candidates for student council president. All of the 750 students in Ravi's school will vote for student council president. How can Ravi generate a representative sample that will help him determine whether he will win the election?
(7th grade 8-1)
Answer:
50 students from each grade
Step-by-step explanation:
If we get the similar amount of people from each and every grade so this would represent the percentage occur from each grade this determine the number of people who vote per grade and represent that how much would the vote for student comes
Also 50 is easily divisible by 750
Therefore the above represent the answer
In the phrase "rise over the run", what does rise indicate?
Group of answer choices
The difference in y coordinates between two points on a line.
The difference x coordinates between two points on a line.
The difference between the x intercept of a line and the y intercept of a line.
The difference between a line's slope and its length
*what shape is the cross section
(giving brainliest if correct !)
Answer:
Triangle!!
Step-by-step explanation:
If you cut the pyramid in half, it will leave triangles. Hope this helps!
uhh I don't really understand this problem, so I would like to know how to do it
Answer:
( C ) 428.1 ft²
Step-by-step explanation:
Alright, we know the surface area of a shape is the area the entire outside covers. So, we just need to find the areas of each side and add them together.
Let's start with the two rectangular sides. The dimensions of both of these are 10×12. The area of rectangles can be calculated by multiplying the length and width, so let's do that. Then, we will multiply this answer by two, so we have the areas of both rectangles.
10 · 12 = 120
120 · 2 = 240
The area of the two rectangular sides is 240 ft². We have 3 sides left to solve for.
Next, we will find the area of the triangular sides. Again, we will multiply the answer by two so we have the area of both. The area of the triangle can be found by multiplying [tex]\frac{1}{2}[/tex] the width by the height.
4.5 · 8.9 = 40.05
Multiply this by two for the area of both sides.
40.05 · 2 = 80.1
The area of the triangle sides is 80.1 ft².
The last side is also a rectangle, with the dimensions 9×12.
9 · 12 = 108
The bottom side has an area of 108 ft².
Now, we can add the areas together.
240 + 80.1 + 108 = 428.1
The surface area of the shape is 428.1 ft². The answer is C.
I hope this helps ^^
Good luck :)
does 2(4+x)=8+2x have any solutions
Answer:
Infinitely many solutions
Step-by-step explanation:
2(4 + x) = 8 + 2x 8 + 2x = 8 + 2xBoth sides are same, it means regardless the value of x the equation is correct. The equation has infinitely many solutions
Estimate the sum Sn of the series whose partial sums are graphed above.
Answer:
C. 15
Step-by-step explanation:
Edge 2021
Someone help me out it’s timed!!
Answer:
XZ = 42
Step-by-step explanation:
By the property of similar triangles,
"If two triangles are similar, their corresponding sides will be proportional."
By applying the property of similarity in ΔABC and ΔXYZ,
[tex]\frac{AB}{XY}= \frac{BC}{YZ}= \frac{AC}{XZ}[/tex]
[tex]\frac{4}{24}=\frac{8}{48}= \frac{7}{XZ}[/tex]
[tex]\frac{1}{6}= \frac{7}{XZ}[/tex]
XZ = 42
Therefore, length of unknown side XZ = 42 units.
Expand and simplify: (2x + 5y) (3x − 2y)
Answer:
Expand:5x+3y
Simplify:6x^2+11xy-10y^2
Step-by-step explanation:
2x(3x-2y)+5y(3x-2y)
6x^2-4xy+15xy-10y^2
6x^2+11xy-10y^2
A: 27.73cm^3
B: 43.66cm^3
C: 205.202cm^3
Answer:
c
Step-by-step explanation:
47° X Find the unknown angle measure
Answer:
The angle measure is 43 degrees
Step-by-step explanation:
The right angle adds up to 90 degrees in whole, you already have 47 degrees so you want to subtract 47 from 90, then you will get your answer.
Write the equation of the polynomial with the given roots in standard form.
x=-4 (multiplicity of 2)
x=2i
Answer:
sorry not sure
Step-by-step explanation:
PLEASE HELP ASAP!
Which of the following equations have a solution that is negative? Select all that apply.
please no file links. thanks!
4, Give a pair of inequalities that describes
the set of all points in the first quadrant
Answer:
x > 0
y > 0
Step-by-step explanation:
The first quadrant is the quadrant formed by the positive x-axis and the positive y-axis.
And we know that all the elements in this quadrant are larger than zero.
Then, a point (x, y) is on the first quadrant only if:
x > 0
y > 0
Note that we ignore the points with x = 0 or y = 0, this is because these points are shared between quadrants, and these points are not defined as belonging to any quadrant.
Help, ive been stuck on this for 2 hours
2. Find the area of the shaded region to the nearest tenth.
This looks super complicated, but it can actually be solved with the application of a couple of area equations.
Let's establish one fact before we start this question that may have been the reason why this was so confusing for you. No matter what kind of triangle, the area will always be [tex]\frac{1}{2}[/tex] times the length of the base times height.
Alright, with that established, let's start trying to solve for the area.
In this question, we seem to have a triangle with a circle shape taken out of it. We are told to find the area of the shaded area.
The overall equation would be:
[tex]Area_{triangle}[/tex] - [tex]Area_{circle}[/tex]
This makes sense, right? If we find the area of the triangle and subtract the area of the circle within it, it should give us the total shaded area.
Now, let's begin solving for said shaded area:
[tex]Area_{triangle}[/tex] - [tex]Area_{circle}[/tex]
([tex]\frac{1}{2}[/tex] * base * height) - (π*[tex]r^{2}[/tex])
The given base of the triangle is 40 km, the height 27 km, and the circle's diameter is 12. Therefore:
([tex]\frac{1}{2}[/tex] * 40 * 27) - (π * [tex](\frac{12}{2})^{2}[/tex])
(540) - (π * [tex]6^{2}[/tex])
540 - 36π
Use 3.14 as the value for pi:
540 - 36(3.14)
426.96
Round to the nearest tenth:
427.0
Shaded area = 427 ([tex]km^{2}[/tex])
If you have any questions on how I got to the answer, don't be afraid to ask!
- breezyツ
PLEASE HELPPPPPPPPPPPPPP
Answer:
how can I help u sir...???
What is a simpler form of (2x²-3x+1)(x-3)?
Answer:
Step-by-step explanation:
(2x² - 3x + 1 )(x - 3) = (2x² - 3x + 1)*x + (2x² - 3x + 1)*(-3)
= 2x²*x - 3x*x + 1*x + 2x²*(-3) - 3x*(-3) + 1*(-3)
= 2x³ - 3x² + x - 6x² + 9x - 3
= 2x³ - 3x² - 6x² + x + 9x - 3 {Combine like terms}
= 2x³ - 9x² + 10x - 3
Find the area(please help)
Answer:
A=70 sq in.
Step-by-step explanation:
Calculate the interest earned on a $4,500
saving account that earns 2.5% simple interest over
3 years
Answer:
I = $337.50
Step-by-step explanation:
I = prt
I = 4500(.025)(3)
I = 337.50
The interest earned is $337.50.
What is Simple Interest?The interest on a loan or principal amount can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more. When you pay back a loan, the monthly interest is deducted first, and any remaining funds are applied to the principle.
Simple Interest = Principal x Interest Rate x Time/ 100
Given:
Principal= 4500
Rate= 2.5%
Time= 3 years
Using Simple Interest
SI = ( P x R xT)/100
SI = (4500 x 2.5 x 3) /100
SI = 33750/100
SI = $337.50
Hence, the interest earned is $337.50
Learn more about simple interest here:
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Paige had $20 to spend on 6 pieces of candy. After buying the candy, she has $6.50 left. How much was each piece of candy?
Answer:
$2.25
Step-by-step explanation:
1. 20-6.50= 13.50
2. 13.50/6(pieces of candy) = $2.25
Sushil was thinking of a number. Sushil adds 7, then divides by 3 to get an answer of -5. What was the original number?
Answer:
-22
Step-by-step explanation:
Use inverse operations.
So, if Sushil last divided, we would need to multiply.
-5*3 =-15
After multiplying, we should subtract the positive seven from negative fifteen.
-15-7 =-22
What is the volume of the prism below?
A prism has a length of 1, height of 1 and three-fourths, and width of 2.
2 and three-fourths units3
3 and one-half units3
5 units3
8 units3
Answer:
b) 3 1/2 units^3
Step-by-step explanation:
I need help anyone can help me? I’ll mark ya braninly
Answer:
You are more likely to grab a red marble. You are less likely to grab a green marble.
Step-by-step explanation:
6/16 is greater than 5/16. The bigger the number, the higher the probability.
Have a great day!
Which item is NOT printed on the bottom of a check?
a
check number
b
routing number
c
account number
d
date
Answer: d. Date
Step-by-step explanation:
Some of the information printed on the bottom of a check include the check number which is typically a security measure that is used in the identification of payment so as to prevent fraud.
The routing number also informs the bank where the funds for the check can be found.
The account number informs the person that collects the check about the account that the money is coming from.
We should note that the date is at the top of the check and one has to fill it himself or herself before giving the check to the recipient.
A bag contains 4 white balls, 6 yellow balls, and 5 red balls. In how many ways can 6 balls be chosen if there must be 2 balls of each color? Which of the following combination notation will best represent the problem? Help!
Answer:
4C2 * 6C2 * 5C2
Step-by-step explanation:
White balls = 4
Yellow balls = 6
Red balls = 5
In other to select a total of 6 balls, of which there must be 2 balls each of color white, yellow and red :
That means :
2 red balls from 5 red balls = 5C2
2 balls for 6 yellow balls = 6C2
2 balls from 4 white balls = 4C2
To obtain the number of possible combinations, take the product of the three combinations :
4C2 * 6C2 * 5C2
If bag contains 4 white balls, 6 yellow balls, and 5 red balls then 6 balls can be chosen if there must be 2 balls of each color in 900 ways
What are permutation and combination?permutation is way of selecting and arranging things while combination is way of selecting things .
Given that bag contains 4 white balls, 6 yellow balls, and 5 red balls
we have to select 6 balls
it's given that there must be 2 balls of each color
So here's how we can select them
2 white balls ,2 yellow balls and 2 red balls
So we have to select 2 white balls out of 4 white balls ,2 yellow balls out of 6 yellow balls and 2 red balls out of 5 red balls
so number of ways of selecting
[tex]{4 \choose 2} \times {6 \choose 2}\times {5 \choose 2}[/tex]
[tex]=6\times15\times10\\\\=900[/tex]
If bag contains 4 white balls, 6 yellow balls, and 5 red balls then 6 balls can be chosen if there must be 2 balls of each color in 900 ways
To learn more about combination visit : https://brainly.com/question/25821700
Which stem-and-leaf plot represents this data?
80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78
With the number set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, what is the probability of choosing an even
number?
A) ≈ 6%
B) ≈46%
C) ≈54%
D) ≈50%
Answer:
b
Step-by-step explanation:
6 of the numbers are even from a total of 13
6/13 is roughly 46%
Answer:
The probability of choosing a number is ≈46%.
Step-by-step explanation:
What is probability?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
The number set is:
{1,2,3,4,5,6,7,8,9,10,11,12,13}
The even numbers is:
{2,4,6,8,10,12}
Total outcomes = 13
Number of possible outcomes = 6
The probability of the outcome is:
[tex]P(E)=\frac{6}{13} *100\\ =46.153%[/tex]
≈46%
Hence, the answer is option B.
To know more about probability here
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....... PLEASE HELP ME OUT HERE LOL
Answer:
2
Step-by-step explanation:
you take you longest side half it and it equals the other two sides
Please answer the following question
Answer:
first give options it is very hard to do
Can someone please help me with this
Answer:
y=25
2 of the y's = 50 in total
Step-by-step explanation:
180-115=x
x=65
180-90-65=y
y=25
Pl help it’s for a grade