An expression is defined as a set of numbers, variables, and mathematical operations. The expression can be written in the form of 2ⁿ as 2⁴.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression can be rewritten as,
[tex]\dfrac{2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2}{2 \cdot2 \cdot2 \cdot2} = \dfrac{2^8}{2^4} = 2^{8-4} = 2^4[/tex]
Hence, the expression can be written in the form of 2ⁿ as 2⁴.
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What is the likelihood that a point chosen inside the square will also be inside the circle ?It Chose one : A. is impossible ,B. it is unlikely, C it is likely D. it is certain
Answer:
C. It is likely
Step-by-step explanation:
Given
See attachment for diagram
For the square.
Let
[tex]Length = L[/tex]
So, the area is:
[tex]Area = Length^2[/tex]
[tex]A_1=L^2[/tex]
The side length of the square equals the diameter of the circle.
So:
[tex]diameter (d) = L[/tex]
The radius is:
[tex]r = \frac{1}{2}d[/tex]
[tex]r = \frac{1}{2}L[/tex]
The area is:
[tex]Area = \pi r^2[/tex]
[tex]A_2 = \pi * (\frac{1}{2}L)^2[/tex]
[tex]A_2 = \pi * \frac{1}{4}L^2[/tex]
[tex]A_2 = \frac{22}{7} * \frac{1}{4}L^2[/tex]
[tex]A_2 = \frac{22}{28} L^2[/tex]
The likelihood that a point will be common to the square and the circle is:
[tex]Pr = \frac{A_2}{A_1}[/tex]
[tex]Pr = \frac{\frac{22}{28} L^2}{L^2}[/tex]
[tex]Pr = \frac{22}{28}[/tex]
[tex]Pr = 78.57\%[/tex]
The above probability is greater than 50% but less than 100%.
Hence, it is likely
Answer:
C. Likely
Step-by-step explanation:
all the points are in the circle so it's likely to choose a point inside the circle
2x+y=7
5x+y=9
solve the system of equations
Answer:
x=66
y=-57
Step-by-step explanation:
can somebody find the volume of the cone on #2?
thank you!!
Answer:
[tex] 4,220.16 \: {units}^{3} [/tex]
Step-by-step explanation:
Diameter of cone = 24 units
Radius of cone (r) = 24/2 = 12 units
Height of cone (h) = 28 units
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{ 3} \times 3.14 \times {(12)}^{2} \times 28 \\ \\ = \frac{1}{3} \times 3.14 \times 144 \times 28 \\ \\ = 3.14 \times 1,344 \\ \\ = 4,220.16\: {units}^{3} [/tex]
Nickoy brought some shirts. He paid $12 for each shirt. This can be modeled by the expression 12x. What does x represent
Answer:
x represents the number of shirts purchased
Step-by-step explanation:
Each time Nick buys a shirt, he has an outlay of $12. One shirt for $12, two shirts for $24, and so on. So the amount due for the purchase of x shirts is ($12/shirt)x, where x represents the number of shirts purchased.
Help please! All guesses get reported! Answer gets brainliest!
Answer:
A - 36 in.
b - 8
Step-by-step explanation:
A - You marked all of it right! 10 + 10 + 10 + 6
B - The teeth are only on half of the circle that hit the chain. 10 inches of chain for the big wheel, so 1/2 of 10 is 5. Same thing for the little wheel, 1/2 of 6 is 3, and 5+3 = 8, so about 8!
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.
Sample 1: 4
Sample 2: 1
Sample 3: 9
How do the sample statistics compare to the population mean and standard deviation???
Answer:
sample 3:9
Step-by-step explanation:
hope this helps
pls mark me branliyest
Simon wants to earn as many points as possible in one turn in a game. Two number cubes whose sides are numbered 1 through 6 are rolled. He is given two options for the manner in which points are awarded in the turn.
OPTION A: If the sum of the rolls is a prime number, Simon receives 15 points.
OPTION B: If the sum of the rolls is a multiple of 3, Simon receives 12 points.
Which statement best explains the option he should choose?
A. Simon should choose Option B. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.
B. Simon should choose Option A. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.
C. Simon should choose Option B. The mathematical expectation of this option is 4 and is the greater mathematical expectation of the two options.
D. Simon should choose Option A. The mathematical expectation of this option is 4 and is the greater mathematical expectation of the two options.
Answer: b. Simon should chose option a. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.
Statement B. Simon should choose Option A. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The probability that the sum of the rolls is a prime number:
P(sum is prime) = 15/36 =0.416
Expected number of points = 0.416×15 =6.25
Probability that f the sum of the rolls is a multiple of 3,
P(sum of rolls is multiple of 3) = 12/36 = 0.33
Expected number of points = 0.33×12 = 3.96
Thus, statement B. Simon should choose Option A. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options is correct.
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1) Mark and Huong are selling flower bulbs for a school fundraiser. Customers can buy packages
tulip bulbs and packages of crocus bulbs. Mark sold 9 packages of tulip bulbs and 1 package of
crocus bulbs for a total of $127. Huong sold 6 packages of tulip bulbs and 6 packages of crocus
bulbs for a total of $186. Find the cost each of one package of tulips bulbs and one package of
crocus bulbs.
Answer:
Package of tulip bulbs = $12
Package of crocus = $19
Step-by-step explanation:
Let b = cost of a package of bulbs
c = cost of a crocus package
Mark: (1) 9b + c = 127 Huong: (2) 6b + 6c = 186
c = 127 - 9b 6b + 6(127 - 9b) = 186
6b + 762 - 54b = 186
- 48b = -576
b = 12
c = 127 -9(12)
c = 127 - 108 = 19
Proving That All Circles Are Similar give: cicrcle x with radius r and circile y with radius s prove: circle x is similar to circle y
Answer:
Two shapes are similar when they have the same shape while their sizes may be the same or different
Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor
All circles have the same shape and are defined by their center and radius
Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;
r × a = s
Where a = s/r, we get;
r × s/r = s
We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a
Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'
Step-by-step explanation:
Just did it! <3
Hope this helps!
HELPPPPP MEE ITS DUE TODAY pleasseee
f(x)=4x^2-9x-13 young quadratic formula!
Answer:
x=13/4 or -1
Step-by-step explanation:
factorize the fraction
(4x^2+4x)(-13x-13)
4x(x+1) -13(x+1)
(4x-13)(x+1)
x=13/4 or x=1
I guess
Here is some more
Find the value of x: 3x−7=8x+23
Answer: x=6
Step-by-step explanation:
Answer:
x = -6
Step-by-step explanation:
Subtract 3x from both sides to get -7=5x+23.
Subtract 23 from both sides to get -30=5x.
Divide 5 from both sides.
x = -6.
While mike was visiting his sister in arlington,he bought an aquarium that was marked down 60% from an original price of $100 .if the sales tax in Arlington is 5% ,what was the total cost of the arquarium?
Answer:
The cost of the aquarium was $38
Step-by-step explanation:
I got 60% of 100 and it was 60 so it was $40 but then the sales tax was $2 so I subtracted and got 38
The total cost of the aquarium is the sum of the marked down price and
the sales tax.
The total cost of the aquarium is $42
Reasons:
The known information are;
Original price of the aquarium = $100
The marked down percentage of the aquarium = 60%
The sales tax = 5%
[tex]Mark \ down = \dfrac{Difference}{Current \ selling \ price} \times 100[/tex]
[tex]60 \% = \dfrac{Difference}{100} \times 100[/tex]
Which gives;
The difference in sale = $100 - Marked down price = $60
Marked down price = $100 - $60 = $40
The marked down price = $40
The tax is applied to the marked down price, therefore, we get;
Sales tax = 5% × $40 = $2
The total cost = Marked down price + Sales tax
The total cost of the aquarium = $40 + $2 = $42
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The school buses at a middle school each hold 38 students. The school has, b, buses.
Write an equation that shows the total number of students, s, that can be carried by all of its buses.
Answer:
38bs
Step-by-step explanation:
multiply the number of students that each bus can hold by the no of buses 38s×b=38bs
Determine whether the three side lengths form a triangle. 3,5,7
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 25
and DC 25, what is the length of BD?
Answer:
25
Step-by-step explanation:
The required value of altitude BD is 25 units, which is determined by the geometric theorem.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
As we know that the geometric theorem states that h = √(ab),
where h is the altitude of a right triangle, a and b are the segments formed when the altitude divides the hypotenuse of a right triangle.
We have to determine the value of altitude y
As per the given figure, a = 25, and b = 25
Substitute the values in the formula, and we get
x = √(25 × 25)
x = √625
x = 25
Therefore, the measure of BD = 25.
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What percent of 2.5 is 0.2. Please helllllp. My whole family is trying to figure out this darn problem!
Answer: 8
Step-by-step explanation: hope this helps
In one hour a seamstress can sew 48 yards of material. How many yards can she sew in 15 minutes?
Answer:
12
Step-by-step explanation:
you know there are 4 - 15 minutes parts in 1 hour. so if she can sew 48 yards in 1 hour, divide 48 by 4 =12 yards
What is the length of AC?
Answer:
2nd option
;)
I did this before-
Step-by-step explanation:
A rectangle is 12 cm long and 8 cm broad.
The length and breadth of the rectangle are
both increased by the same amount, dcm.
If the area of the rectangle is now 221 cm,
find the value of d. with a digram
Answer:
17
Step-by-step explanation:
because 17 is the mulitple
An electrician charged a fee of $45 plus $60 per hour to come to Ed's house and make a repair. How many hours did the repair take if the total bill was $120.
Answer:
1 hour and 15 minutes
Step-by-step explanation:
$120 - $45 = $75
$75 ÷ $60 = 1.25 hours or and 1 hour and 15 minutes
(HELP MEH FOR BRAINLY! ITS ONLY MULTIPLE CHOICE YALL)
Answer:
option (1)
Step-by-step explanation:
f(x) - g(x)
= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis
= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms
= 7x² - 8x + 4
24% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are
dogs?
About
of the animals at the shelter are dogs.
Answer:
6/25
Step-by-step explanation:
Answer:
6/25
Step-by-step explanation:
Scott's window store made a mosaic for the community center. The mosaic had an 8 × 8 array of different color square tiles. If each tile is 2 2/3 ft long, what is the area of the whole mosaic?
Answer:
455.1111 feet²
Step-by-step explanation:
Given that :
Array of mosaic = 8 * 8 color square tiles
Length of each tile = 2 2/3 feets long
The length of mosaic = length per tile * Number of array :
2 2/3 feets * 8 = 21.3333 feets
This corresponds to the side length of the mosaic
The Area of the whole mosaic:
Using the area of square formula = s²
Where, s = side length
s = 21.33333 ft²
s² = 21.33333²
s² = 455.1111²
Pls help 10 points pls!
HOW DO I DO MATH..IM NOT EVEN SMART ENOUGH TO KNOW WHAT 4x6 IS
Answer:
4*6 is 24
its like 6 circles with 4 dots inside and you just count all the dots or it could be the other way around.
I NEED HELP. What is the answer?
Answer:
B
Step-by-step explanation:
Here’s what B has:
Min: 24
Q1: 27
Median: 31
Q3: 33
Max: 34
Although Choice A and B were really close with their five number summaries, out of the two of them, only B had a maximum value of 34, like the one in the box plot shown above.
Avery is solving the following equation.
-2[m - 2] = -6
Which equation is equivalent to Avery's equation?
A. – 2m + 4 = -6
B. Im - 2] = -3
C. 2m + 4 = 6
D. Im - 2) = 3
Answer:
A. – 2m + 4 = -6
Step-by-step explanation:
I should know. I did the question.
Mhanifa please help i will mark brainliest!
Answer:
(11)
Rectangle
All interior angles are right angles
Diagonals bisect each other, diagonals are congruent
∠3 = 33°∠1 = ∠5 = 90° - 33° = 57°∠2 = 180° - 2*57° = 66°∠4 = 180° - 66° = 114°(12)
Rhombus
Diagonals are perpendicular and angle bisectors
∠2 = ∠5 = 53°∠1 = ∠4 = 90° - 53° = 37°∠3 = 90°Preform the indicated operation. Be sure the answer is reduced.
Answer:
D. [tex]\frac{2x+1}{x-8}[/tex]
Step-by-step explanation:
[tex]\frac{x+1}{x-8} - \frac{x}{8-x} = \\\\\frac{x+1 + x}{x-8} = \\\\\frac{x+1}{x-8} +\frac{x}{x-8} =\\\\\frac{x+1+x}{x-8} =\\\\\frac{2x+1}{x-8}[/tex]
Correct choice is D