Answer:
25 is not an even number so 2^25 will not be a perfect square number
Step-by-step explanation:
This question is based on squares. Therefore, 33554432 is not equal to [tex]\bold{2^{25}}[/tex] and not a perfect square.
Given that:
The number 33554432 is equal to [tex]\bold{2^{25}}[/tex].
We need to determined that 33554432 is not a square number.
As we know that,
Even power of 2 gives a perfect square.
For example,
[tex]2^{2} =4\\2^{4} =16\\2^{6}= 64[/tex] ....
Therefore, in given question the power of 2 is odd that is 25.So, we conclude that given number that is 33554432 is not a perfect square.
Hence, 33554432 is not equal to [tex]\bold{2^{25}}[/tex] and not a perfect square.
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help me for brainliest answer
Answer:
Step-by-step explanation:
Pattern 6 will have 35
Simplify this expression. 4x-12/x^2-9
Answer:
4/(x+3)Step-by-step explanation:
write the expression down:
4x-12/x^2-9
factor:
4(x-3)/(x+3)(x-3)
simplify:
4/(x+3)
Which of the following demonstrates the Commutative Property of Multiplication? 2(6a − 3) = (6a − 3) ⋅ 2 2(6a − 3) = 12a − 6 12a − 6 = (6a − 3) ⋅ 2 (2 ⋅ 6a) − 3 = 2(6a − 3) will pick brainliest
Answer:
AStep-by-step explanation:
The Commutative Property of Multiplication states that it doesn't matter in what order you multiply terms to get the same answer:
In this case
A: commutative property
B: distributive property
C: distributive property
D: associative property
Thus the answer is option A
First identify the angle RELATIONSHIP, then find the measure of the angle indicated in bold.
Answer:
Alternate Interior Angles; 95°
Step-by-step explanation:
Alternate interior angles have the same measure (meaning they are the same number of degrees.) You can set up an equation to solve for x.
11x - 4 = 9x + 14
+4 +4
11x = 9x + 18
-9x -9x
2x = 18 x = 9 Now substitute 9 into one of the expressions.
11(9)-4
99 - 4 = 95
Check the other expression...
9(9)+14
81 + 14 = 95
Select the ones that correctly demonstrate the operations of scientific notation
Note that more than one option may be correct. Select all the correct answers
A. (4.0 x 103)(5.0 x 105) = 2 x 10^9
B. 4.5x105/9.0x10° = 2 x 10^4
C. (2.1 x 105) + (2.7 x 105) = 4.8 x 10^5
D. (3.1 x 105) - (2.7 x 102) = 0.4 x 10^3
Answer:
A and C
Step-by-step explanation:
A. \
(4.0 x 5.0)(10^3 x 10^5)
20 x 10^8
2.0 x 10^9
B. doesn't work, do not understand last number
C.
(2.1 + 2.7) (10^5 + 10^5) since powers are the same, do not need to change anything
4.8 x 10^5
D.
(3.1 - 2.7) (10^5 - 10^2) since powers are not the same, you need to make them equal
Do not need to subtract powers, hence D is untrue
The end behaviour for the polynomial function h(x)=−x3+x4−2x+1 h ( x ) = - x 3 + x 4 - 2 x + 1 is: x→−[infinity], y→−[infinity] x → - [infinity] , y → - [infinity] and x→[infinity], y→[infinity] x → [infinity] , y → [infinity] x→−[infinity], y→[infinity] x → - [infinity] , y → [infinity] and x→[infinity], y→[infinity] x → [infinity] , y → [infinity] x→−[infinity], y→−[infinity] x → - [infinity] , y → - [infinity] and x→[infinity], y→−[infinity] x → [infinity] , y → - [infinity] Unable to tell.
Answer:
[tex]\text{As } x \to \infty, y \to \infty,$and as x \to -\infty, y \to \infty[/tex]
Step-by-step explanation:
Given the polynomial function: [tex]h(x)=-x^3+x^4-2x+1[/tex]
To examine its end behavior, we create a table of values that we can then examine.
[tex]\left|\begin{array}{c|c}x&h(x)\\--&--\\-4&329\\-3&115\\-2&29\\-1&5\\0&1\\1&-1\\2&5\\3&49\\4&185\end{array}\right|[/tex]
From the table, we see a repeating pattern of positive values of h(x) with h(1)=-1 being an axis of symmetry.
Therefore, as:
[tex]x \to \infty, h(x) \to \infty\\x \to -\infty, h(x) \to \infty[/tex]
Suzy has 7 separate rings as shown in the figure on the left. She wants to make one open chain as shown in the figure on the right. What is the least number of rings Suzy needs to cut?
Answer:
every other one
Step-by-step explanation:
to put it specifically rings, 2, 4 and 6
Find the equation of the line through point (−4,−4) and perpendicular to 2x+3y=3. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answer:
y = 3/2x + 2
Step-by-step explanation:
Step 1: Write original equation into slope-intercept form
3y = -2x + 3
y = -2/3x + 1
Step 2: Find slope of perpendicular line
Take the negative reciprocal of the other slope.
m = 3/2x
Step 3: Find b
y = 3/2x + b
-4 = 3/2(-4) + b
-4 = -6 + b
b = 2
Step 4: Rewrite perpendicular equation
y = 3/2x + 2
Tyler flies a plane against a headwind for 4320 miles. The return trip with the wind took 12 hours less time. If the wind speed is 6 mph, how fast does Tyler fly the plane when there is no wind?
Answer:
The plane travels at a speed of 66 miles per hour without wind.
Step-by-step explanation:
Tyler trip has to stage, the first one where he went against the wind and the second where he returned with the wind. We know that the wind speed is 6 mph, if we attribute the variable "x" to the speed of the plane without wind, then on the first stage of its trip the total speed relative to the ground was "x - 6", while on the return trip it was "x + 6". We also know that the distance between the trips was the same 4320 miles, but the second stage was 12 hours faster. We will use the average speed formula to solve this problem, this is shown below:
[tex]\text{speed} = \frac{\text{distance}}{\text{time}}[/tex]
For the first trip the speed was:
[tex]x - 6 = \frac{4320}{\text{time}_1}\\\\\text{time}_1 = \frac{4320}{x - 6}[/tex]
For the second trip the speed was:
[tex]x + 6 = \frac{4320}{\text{time}_2}\\\\\text{time}_2 = \frac{4320}{x + 6}[/tex]
Since the time for the second trip was 12 hours less, then if we add 12 to the second equation it should be equal to the first, so:
[tex]time_2 + 12 = time_1[/tex]
[tex]\frac{4320}{x + 6} +12 = \frac{4320}{x - 6}\\\frac{4320}{x+ 6} - \frac{4320}{x - 6} = -12\\\frac{4320*(x - 6) - 4320*(x + 6)}{x^2 - 36} = -12\\4320*x - 25920 - 4320*x - 25920 = -12*x^2+ 432\\-51840 = -12*x^2 +432\\12*x^2 =51840 + 432\\x^2 = \frac{52272}{12}\\x^2 = 4356\\x = 66[/tex]
The plane travels at a speed of 66 miles per hour.
If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system
ОА.
There is no solution.
OB.
The lines in a system cannot be parallel.
Ос.
There are infinitely many solutions.
OD.
There is exactly one solution.
Answer:
A
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
If the lines are parallel then they never intersect, thus there can be no solution.
Answer:
ОА.
There is no solution
Step-by-step explanation:
If lines are parallel, they will have no common points, so no solution
Write your own word problem that involves a multistep linear equation. Then translate your problem into its resulting math equation.
Answer:
The cost of admission to a festival was $112 for 9 children and 3 adults. The admission was $108 for 8 children and 3 adults in another festival. How much was the admission for each child and adult?
Step-by-step explanation:
Which expression gives the distance between the points (2,3) and (4,-3)?
Answer:
D
Step-by-step explanation:
D is the only answer with the correct distance formula format and the correct numbers inside the parentheses
What is the value of the expression when n = 3?
GO
- 2 n(5 + n-8-3n)
Answer:
54
Step-by-step explanation:
since n = 3
= -2n ( 5n+n-8-3n)
= -2 (3) ( 5+(3)-8-3(3) )
= -6 (5+3-8-9)
= -6 (5-5-9)
= -6 (-9)
= 54.
Find the area of a circle with radius 7 ft.
Answer:
153.9 ft²
Step-by-step explanation:
The area for a circle formula is πr².
Using the radius, we get:
π×7² =
49π ≈
153.938 ≈ (Using the π key)
153.9 ft²
Answer:153.86
Step-by-step explanation:area of a circle is πr square
That is 3.14×49
=153.86
pls Answer it step by step.
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Answer:
Step-by-step explanation:
Hans corrio 3 millas en la pista hizo un descanso y luego corio 4/5 de milla mas. Escribe el numero de millas que corrio hans como faccion impropia equivalente.
Answer:
19/5
Step-by-step explanation:
Aquí, queremos escribir el número total de millas que Hans corrió en forma de una fracción impropia.
Para hacer esto, agregamos todas las millas recorridas.
Matemáticamente, eso sería 3 + 4/5 = 3 4/5 Esta es la forma de fracción mixta.
La fracción impropia es así (5 * 3) + 4/5 = 19/5
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Answer:
C.
Step-by-step explanation:
Look at the image
What is the value of x? Enter your answer in the box. x =
Answer:
4 units
Step-by-step explanation:
Considering the triangle KLJ, using the trigonometric ratios defined by the notation SOH CAH TOA
Line LJ is the opposite side while LK is the hypotenuse side. Hence,
Sin 30 = LJ/8√2
LJ = 8√2 × 1/2
= 4√2
Considering triangle LJM, line LJ is now the hypotenuse while line LM which is equal to x is the opposite side.
Sin 45 = x/4√2
x = 4√2 × 1/√2
x = 4
Answer:
4
Step-by-step explanation:
Just took the test in k12
3. Graph the line by finding the x and y intercepts. 2x + 3y = 6
Answer:
x-int: (3, 0)
y-int: (0, 2)
Step-by-step explanation:
The x-int is found when y = 0. Set y to 0 to solve for the x-int.
The y-int is found when x = 0. Set x equal to 0 to solve for the y-int.
HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!
Answer:
g = f/2
Step-by-step explanation:
Since it is given that 2 side lengths are the same, the 2 triangles produced are similar triangles. That means the ratio from f to g would have to be half, as the ratio of the similar triangle is 1:2.
The discriminant of the function is
Answer:
A. is 0
Step-by-step explanation:
When the discriminant is 0, there is one solution to the function, meaning the parabola intersects the x-axis at only one point. Here, that point is (2, 0).
I hope this helps :))
help? please? ill give brainliest :)
Answer:
100ml bottle is cheapest per ml
Step-by-step explanation:
The 80 ml bottle sells for 55 so that makes 80 ml for 5500 p which calculates to 68.75p per ml.
the 2 50 ml bottles will cost 45+22.50 = 67.50 which makes 100 ml for 6750p
this makes it 67.5p per ml which is cheaper than the 80 ml bottle
Find the equation of the line through point (1,−5) and perpendicular to y=18x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answer:
y = -1/18x - 89/18
Step-by-step explanation:
Step 1: Find the slope of the perpendicular line
Do this by taking the negative reciprocal of the original line
m = -1/18
Step 2: Find b
y = -1/18x + b
-5 = -1/18(1) + b
-5 = -1/18 + b
b = -89/18
Step 3: Rewrite entire equation
y = -1/18x - 89/18
Angela bought 10 stamps that cost $1 or $1.20.
Altogether, her total was $11. How many of each $1 stamps and how many of
each $1.20 stamps did she buy?
Answer:
Let the first equation be x + y = 10
x = 10 -y
2nd equation will be 1x + 1.2y = 11
Substituting in 2nd equation
(10 - y) + 1.2y = 11
10 - y + 1.2y = 11
.2y = 1
y = 5
If y = 5, x = 5: coz x + y = 10
She have buy 5 stamps of each $1 stamps and 5 stamps of each $1.20 stamps.
What is a linear equation?
A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
Let the first equation be;
x + y = 10
x = 10 -y
2nd equation will be,
1x + 1.2y = 11
Substituting in 2nd equation;
(10 - y) + 1.2y = 11
10 - y + 1.2y = 11
0.2y = 1
y = 5
If y = 5, x = 5:
x + y = 10
Hence, She have buy 5 stamps of each $1 stamps and 5 stamps of
each $1.20 stamps.
Learn more about linear equations;
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Rebecca went on a 240 mile trip to a soccer game. On the way back, due to road construction she had to drive 12 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game? She drove _______ mph on the way to the soccer game.
Answer:
20mph
Step-by-step explanation:
because you have to divide 240 by 12 and the answer is 20
A firefighter sees a woman trapped in a building 15 feet up from the bottom floor. The firetruck is parked 35 feet away from the bottom of the building. At what angle of elevation, to the nearest degree, should the firefighter extend the ladder to reach the woman?
Answer:
70 degrees
Step-by-step explanation:
Answer:
70 that my answer and so they can reach
Lara's Inc. Is currently an unlevered firm with 450,000 shares of stock outstanding, with a market price of $15 a share. The company has earnings before interest and taxes of $314,000. Lara's met with his bankers, Warne Incorporated and agreed to borrow $825,000, at 5 percent. You are an ardent investor and you currently own 20,000 shares of Lara's stock. If you seek to unlevered your position; how many shares of Lara's stock will you continue to own, if you can loan out funds at 5 percent interest? Ignore taxes in your deliberations. Kindly show all workings.
Answer:
Step-by-step explanation:
Value of firm = Number of shares×Market price per share
= 450,000 × $15
= $6,750,000
Value of debt = $825,000
Weight of debt = $825,000 / $6,750,000 = 12.22%
Number of shares continue to own = 20,000 × (1 - 12.22%) = 17,555.56 or 17,556 shares
Number of shares continue to own = 17,555.56 or 17,556 shares
What is the equation of the line shown written in slope-intercept form?
y = -2
y = 2
x = 2
Answer:
The equation of the line is y = 2.
Step-by-step explanation:
When a line is horizontal, it's gradient will be 0. So you have to substitute the coordinates into the equation, y = mx + b, to find the b :
[tex]y = mx + b[/tex]
[tex]let \: m = 0 \\ let \: x = 5 \\ let \: y = 2[/tex]
[tex]2 = 0(5) + b[/tex]
[tex]b = 2[/tex]
[tex]y = 2[/tex]
Answer:
it would be Y=2 as it's a horizontal line at y=2
Find the 52nd term of the arithmetic sequence —24, –7, 10, ...
Answer:
843Step-by-step explanation:
[tex]a = -24\\d = t2 -t1\\d = -7-(-24)\\d = -7+24\\d = 17\\\\T_{n} = a +(n-1)d\\T_{52} = -24+(52-1)17\\T_{52} = -24+(51)17\\T_{52} = -24+867\\T_{52} = 843[/tex]
I hope i am correct
Answer:
843
Step-by-step explanation:
Here,
First term a = - 24
Common difference (d) = - 7 - (-24) = - 7 + 24 = 17
Nth term of an Arithmetic sequence is given as:
[tex]a_n = a + (n-1)d \\ a_{52} = - 24 + (52-1) \times 17 \\ a_{52} = - 24 + 51 \times 17 \\ a_{52} = - 24 + 51 \times 17 \\ a_{52} = - 24 + 867\\ a_{52} = - 24 + 867 \\ \\ \huge \red { \boxed{ a_{52} = 843}}[/tex]
90 POINTSSS PLEASE HELP!!!!!
Triangle C D E is translated down and to the right to form triangle C prime D prime E prime. Triangle CDE is translated down and to the right, forming triangle C'D'E'. Which congruency statement is correct?
ΔDCE ≅ ΔD'E'C'
ΔDCE ≅ ΔD'C'E'
ΔEDC ≅ ΔC'D'E'
ΔEDC ≅ ΔC'E'D'
The correct option is (B).ΔDCE ≅ ΔD'C'E'
Given,
Triangle CDE is translated down and to the right, forming triangle C'D'E'.
We have to find which statement is correct.
We know that,Triangle has three angles so when we translated it down it doesn't change.
Since Translation doesn't make change to sides and measure of angles so triangle will remain same after translation.
Translation is also known as shifting of same triangle to new position so there will be no change in the angle or side of the triangle. So
[tex]CD =C'D'[/tex]
[tex]\ CE = \ C'E'[/tex]
[tex]DE =D'E'[/tex]
So,the correct option is (B). ΔDCE ≅ ΔD'C'E'.
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Answer: It's B. I hope this helps!!!!