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If s = 1 over 4 unit and A = 16s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)
Answer:
A = 1 square unit
Step-by-step explanation:
Given:
[tex]\sf s=\dfrac14[/tex][tex]\sf A=16s^2[/tex]To find A, substitute the value of s into the equation for A and solve:
[tex]\sf \implies A=16 \cdot \left(\dfrac14\right)^2[/tex]
[tex]\sf \implies A=16 \cdot \left(\dfrac{1^2}{4^2}\right)[/tex]
[tex]\sf \implies A=16 \cdot \left(\dfrac{1}{16}\right)[/tex]
[tex]\sf \implies A=\dfrac{16 \cdot 1}{16}[/tex]
[tex]\sf \implies A=\dfrac{16}{16}[/tex]
[tex]\sf \implies A=1[/tex]
Therefore, A = 1 square unit
[tex]\\ \rm\rightarrowtail A=16s^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(1/4)^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(0.25)^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(0.0625)[/tex]
[tex]\\ \rm\rightarrowtail A=1units^2[/tex]
Help me pleaseeeeeee
Answer:
926% and I'm pretty sure the other one is 0.7
Step-by-step explanation: For a you have to remove the decimal. for b you have to remove the %
does anybody know what this mean? on the red circle?
Answer:
It may be a division sign, if not I have no clue.
Step-by-step explanation:
I guess it is therefore. Not so sure.....
Does anyone know this?
Answer:
9
Step-by-step explanation:
y= mx+b
m is slope
b is y-int
Each of the two numbers were increased by 10. How did the average of the two numbers change?
Answer:
Average increased by 10
Step-by-step explanation:
Lets take 2 numbers - 10 and 12. The average of these two numbers is 11. By adding 10 to both of these numbers you get 20 and 22. The average of these numbers is 21. The average of the 2 numbers increased by 10
What is a formula for the nth term of the given sequence?
16,8, 4...
Answer:
Answer:divide by 2Step-by-step explanation:16 divide by 2 =8 divide
Step-by-step explanation:
A cylinder-shaped container has a radius of 20 centimeters and a height of 100 centimeters.
What is the approximate volume of the cylinder?
Enter your answer in the box. Use 3.14 to approximate pi.
Answer: The volume of the cylinder is 125, 600 cm^3
Step-by-step explanation:
Volume = 3.14 x Radius^2 x Height
Volume = 3.14 x 20^2 x 100
Volume = 3.14 x 400 x 100
Volume = 125,600 cm^3
Sam’s teacher asked him to make observations about animals at the zoo. sam went to the zoo and filled in these two charts that the teacher gave him. what is the main difference between the species in group 1 and group 2? question 3 options: group 1 has small organisms, group 2 has large organisms. group 1 are endothermic, group 2 are exothermic. group 1 are vertebrates, group 2 are invertebrates. group 1 has exoskeletons, group 2 has soft bodies.
The difference between group 1 and group 2 is the species of group 1 are vertebrates and species of group 2 are invertebrates.
What are vertebrates?Vertebrates are those animals that have a spinal cord.
Invertebrates are those who do not have a spinal cord or vertebrae.
The animals, of group 1 are alligator, fish, frog, bird, and zebra, all are vertebrates.
The animals of group 2 are jellyfish, octopus, tarantula, and earthworms.
Thus, the correct option is C, group 1 are vertebrates, and group 2 is invertebrates.
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Ay, help?
What is the measure of angle P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
m∠P=
°
Answer:
P=67.38
Step-by-step explanation:
All three sides are given. You can use any one of the the three major functions on your calculator to g
Adjacent = PQ = 5
Hypotenuse = PR = 13
Cos(P) = Adjacent / Hypotenuse
Cos(P) = 5/13
Cos(P) = .3846
Now you need to use the inverse cos to get P
P = cos-1(.3846)
P =67.38
=====================================
Now we'll try the tangent
Tan(P) = opposite / adjacent
Tan(P) = 12/5
Tan(P) =2.4
P = Tan-1(2.4)
P = 67.38
Both functions give the same thing
[tex]\\ \rm\Rrightarrow cosP=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow cosP=\dfrac{5}{13}[/tex]
[tex]\\ \rm\Rrightarrow cosP=0.38[/tex]
[tex]\\ \rm\Rrightarrow P=cos^{-1}(0.38)[/tex]
[tex]\\ \rm\Rrightarrow P=67.67°[/tex]
What is the angle measure θ in degrees such that cos(θ) = 2/16? Round your answer to the nearest degree.
Answer: 83 degrees
Step-by-step explanation:
In order to find theta, you must take the arccosine of both sides. The arccosine eliminates the cosine, and extracts the argument. Therefore:
[tex]cos(x)=\frac{2}{16} =\frac{1}{8}[/tex]
[tex]arccos(cos(x))=arccos(\frac{1}{8} )=x[/tex]
Use a calculator the find the arccosine of 1/8. Its nearly impossible to find the exact answer without one:
[tex]x=arccos(\frac{1}{8} )[/tex]
[tex]x=83[/tex]
The blue dot is at what value on the number line?
Answer:
17
Step-by-step explanation:
✌
Simplify and write in scientific notation (5.6 * 10 ^ 5)/(1.4 * 10 ^ - 2)
Answer:
4.0x10^7
Step-by-step explanation:
5.6÷1.4=4
10^(5-(-2))
=10^7
=4.0x10^7
James has 3 blue candies and 3 green candies. 3 people come in and take 2 candies. What is the probability that they do not take 2 candies of the same color?
~ pls solve, i'm really confused
Answer:
33.3333333333
Step-by-step explanation:
we see that there are 6 candies in total
we also see that there is a 50% chance that someone will take out 3 candies of the same color,
50/3 = 16.66666666666667
so the chance of getting 2 marbles of the same color is 16.66666666666667 + 16.66666666666667 which is 33.3333333333
I hope I could help
Explain three key differences between index funds and mutual funds
The three main differences are management style, investment objective and cost — and index funds are the clear winner.
Sure hope this helps you and pls mark me brainiest!
The main difference between index funds and mutual funds is that index funds seek market-average returns whereas mutual funds tries to outperform the market.
What is index funds?"Index funds are investment funds that follow a benchmark index, such as the S&P 500 or the Nasdaq 100."
What is mutual funds?"A mutual fund is a professionally managed investment fund that pools money from many investors to purchase securities. "
"If a mutual fund is active, then it has high fees than index fees."
"The performance of index fund is predictable whereas the performance of active mutual fund is not predictable."
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hi anyone can help me :) i have no idea how to do it . pls help me thx
Explanation:
The first column is nothing but "2"s.
The second column has the sequence 2, 1, 0 from top to bottom. If the pattern keeps up, then the next value in the second column should be -1 since we're counting down by 1. Use a number line to see this.
So we have 2-(-1) = 2+1 = 3 or 2-(-1) = 3 as the next line. I think keeping it as 2-(-1) rather than 2+1 is beneficial so that the minus signs line up.
The result of 3 helps confirm that the final column of values (0,1,2) is incrementing by 1.
Mrs. Watson has 30 desks in her math class, each shaped like the trapezoid shown below. She plans to cover each one with bulletin board paper for a project. What is the minimum amount of paper she will need?
Answer: 12,888 in^2 (inches squared)
Step-by-step explanation:
What is the area of this polygon?
Answer:
The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].
Step-by-step explanation:
The diameter of a wheel from a bicycle is 66 cm about how far will the wheel travel in one complete turn.
since the diameter is 66 cm, then its radius is half that or 33 cm.
[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=33\\ \underset{complete~turn}{\theta =2\pi ~\hfill } \end{cases}\implies s=(33)(2\pi )\implies s=66\pi \implies s\approx 207.34~cm[/tex]
Question 1 (Essay Worth 10 points)
(07.01, 07.02 MC)
An expression is shown below:
4ck2 + 10k2 − 16ck − 40k
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
✿————✦————✿————✦————✿
The answer is: 2(k2−4k)(2c+5)
✿————✦————✿————✦————✿
Step:
* Consider 2ck2+5k2−8ck−20k. Do the grouping 2ck2+5k2−8ck−20k=(2ck2+5k2) +(−8ck−20k), and factor out k2 in the first and −4k in the second group.
* Factor out the common term 2c+5 by using the distributive property.
* Rewrite the complete factored expression.
✿————✦————✿————✦————✿
Answer:
2(k2−4k)(2c+5)
Step-by-step explanation:
3x-6y=-12
6x+6y=30
What is the value of x and y
Answer:
(2,3) or x=2 and y=3
Step-by-step explanation:
find x...
3x-6y= -12
3x = 6y-12
x = 2y-4
plug x into the other equation
6(2y-4) + 6y = 30
12y-24 +6y = 30
18y = 54
y = 3
Plug y into an equation to find x
3x-6(3) = -12
3x-18= -12
3x=6
x=2
[Answer] y=3 and x=2 or (2,3)
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Videos Incorporated charges a membership fee of $4.99 plus $0.99 for each movie you watch. Videos Plus does not charge a membership fee but charges $2.99 per movie. Videos Plus is a better deal than Videos Incorporated. Which inequality represents this situation?
What is the inequality symbol for the situation? Answer Chocies: >, <, =.
Videos Incorporated Expression: Answer choices: 4.99x + 0.99, 4.99 + 0.99x, 4.99 - 0.99x
Videos Plus Expression: Answer Choices: 2.99x, 2.99x + 1, 2.99x - 1.
Which inequality represents this situation?
Videos Incorporated Expression:
-> Starting membership fee of $4.99, and then adding onto the overall cost is $0.99 for every movie watched.
4.99 + 0.99x
Videos Plus Expression:
-> There is no membership fee, but adding to the cost is $2.99 per movie.
2.99x
Which inequality represents this situation?
-> You do not have answer options, so this is a guess.
-> It states that "Videos Plus is a better deal than Videos Incorporated" which means Videos Incorporated costs more than Videos Plus
2.99x < 4.99 + 0.99x
(03.01 MC)
Which equation justifies why 103 = 3/10
1
-1046-10
O
= 10
= 10
dho
°
(103)
(103)-1olia)
0(101) 105)=0
(103)*=106-)-10
=
= 10
=
Previous Question
Answer:
The choice B
Step-by-step explanation:
[tex]( {10}^{ \frac{1}{3} } )^{3} = {10}^{ \frac{1}{3} \times 3} = {10}^{ \frac{3}{3} } = {10}^{1} = 10[/tex]
What is the value of x?
Answer:
x = 9 cm
create proportional equation:
[tex]\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}[/tex]
[tex]\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}[/tex]
[tex]\sf 9(3x+36) = 81(3x-20)[/tex]
[tex]\sf 27x+324 = 243x-1620[/tex]
[tex]\sf 27x-243x=-1620-324[/tex]
[tex]\sf -216x=-1944[/tex]
[tex]\sf x = 9[/tex]
Answer:
x = 9Step-by-step explanation:
Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;
72/9 = 56/(3x - 20)8 = 56/(3x - 20)3x - 20 = 56/83x - 20 = 73x = 27x = 9Geometry shapes I need help asap
How many pairs of corresponging angles are formed when a transeversal is cut by 2 parallel lines?
Answer: 4
Step-by-step explanation:
There are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,
What are parallel lines?Parallel lines are the lines that do not intersect or meet each other at any point in a plane.
They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.
If two parallel lines are intersected by a transversal, then corresponding angles are congruent.
The angles are called corresponding angles. If two parallel lines are cut by a transversal, the corresponding angles are congruent.
When a line is cut by a transversal, 4 angles are formed,
2 angles are >=90° while 2 are <=90°
So when we take 2 parallel lines, 4 pairs are formed.
Hence, there are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,
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what is the measurement for x? anwer fastpls
Answer:
137°
Step-by-step explanation:
90+47= 137°
the sum of two interior angles is equally to the further exterior angle.
Antonio has a total of 55 marbles. He has 15 green marbles and 12 red marbles. The rest of the marbles are
blue. How many blue marbles does he have
A student solves this problem by writing an equation. Which strategy could help check the student's answer?
final answer
Answer:
Add 12 and 15 to their X value.
Step-by-step explanation:
X = 28, but they could check by adding 12 and 15 to see if it adds to 55.
Answer:
15
+12
=27
55
-27
=28
28 of the marbles are blue
Need help on this question ASAP please please !!
The leading brand of cosmetics in the US had about 20% of the total sales in the industry. The total sales were $ 200,000. What was the leading brands sales? Show your work.
Answer: $40000
Step-by-step explanation:
200000(0.2) = $40000
The rectangle is 20 by 16 and the scale factor is 0. 25. What are the dimensions of the reduced rectangle?.
The dimensions of the reduced rectangle are 5(length) and 4(width).
The original length of the rectangle= 20
The original width of the rectangle=16
What is a scale factor?It is the factor by which the size or dimension of an object is dilated.
Reduced length/Original length = 0.25
Reduced length = 0.25 * original length
Reduced length = 0.25 * 20
Reduced length = 5
Reduced width/Original width = 0.25
Reduced width = 0.25 * original width
Reduced width = 0.25 * 16
Reduced width = 4
Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).
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