Answer: 3.0921 × 10e14
Step-by-step explanation:
Select the equivalent expression
(8^2/4^4)^3 = ?
A 8^2/4^4
B 8^6/4^12
C 8^2/4^12
D 8^6/4^4
So the right answer is of option B.
Hope this will help u..
The equivalent expression of the given equation is option [tex]\frac{8^6}{4^{12} }[/tex], option B is correct.
How can equivalent expression be determined?Every mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. For instance, the formula 4m + 5 has the terms 4m and 5 as well as m, the variable, all separated by the arithmetic sign +.
Given that
[tex](\frac{8^2}{4^4} )^{3}[/tex]
The numerator = [tex](8^{2} )^{3} = 8^{6}[/tex]
The denominator = [tex](4^{4} )^{3} = 4^{12}[/tex]
Then we can combine the expression as ;
[tex]\frac{8^6}{4^{12} }[/tex]
Therefore, option B is correct.
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Suppose you invested $500 in K-Mart stock in October
of 2001. Each month the stock lost 2% of its value.
How much was the stock worth in October of 2002?
(HINT: The loss is per MONTH.)
Answer:
$380
Step-by-step explanation:
Amount invested in October 2001 = $500
If 2% is lost on stock each month, amount lost every month will be 2% of $500
= 2/100×$500
= $10
In order to know how much the stock will cost by October 2002, we need to know the number of month there is between October 2001 and October 2002.
The number of months within this period is 12months
If $10 is lost per month, the total stock lost for 12months will be
$10×12 = $120
Stock worth by October 2002 = Money invested - Total stock loss
Stock worth by October 2002 = $500-$120
= $380
Y = x - 1
-x + 3/2 = -y
Answer:
It has more than one equal sign but set up like this:
Step-by-step explanation:
Let's solve for x.
y+x−1+
3
2
=−y
Step 1: Add -y to both sides.
x+y+
1
2
+−y=−y+−y
x+
1
2
=−2y
Step 2: Add (-1)/2 to both sides.
x+
1
2
+
−1
2
=−2y+
−1
2
x=−2y+
−1
2
Answer:
x=−2y+ -1/2
The measure of arc OS is (4x-18)
What is the value of x?
Answer:
The value X=49.5
Step-by-step explanation:
Given:
Arc of 4x-18 is formed .
To Find:
Value of x
Solution:
Consider a circle in which arc(OS) is formed ,
with OS as diameter so the angle subtended by them is 180 degree.
...(by property of semi circle )
4x-18 =180 degrees.
4x=198
x=198/4
x=49.5 degrees.
Hence the value of X=49.5 degrees
Answer:49.5
Step-by-step explanation:
Find the height of the parallelogram in which A= 7.5 m^2
Step-by-step explanation:
Given the area of the Parallelogram
[tex]A=\:7.5\:m^2[/tex]
The area of a parallelogram is defined as the multiplication of its base and height.so
A = base × height
Plugging A = 7.5 m² in above equation
7.5 m² = base × height
height = base ÷ 7.5 m²
Therefore, height of the parallelogram with area 7.5 m² is : base ÷ 7.5 m²
what adds to be the bottom number but also multiplies to be the top 15 8
Final Answer:
It's likely that the student is concentrating on a factoring problem. The two numbers are 5 and 3, which when multiplied together equal 8 (the small number) and 15 (the big number).
Explanation:
It appears that you are looking for two numbers that sum up to 8 and multiply by 15, since the bottom number is 8 and the top number is 15.In this case, the appropriate responses are 5 and 3. Specifically, this is why: the sum equals 5 + 3 = 8.15 is the result of multiplying 5 by 3.
So, 5 and 3 are the numbers you're looking for.
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can you solve this equation using the quadratic formula with step-by-step process?
2 − 24 = 10x
The volume of a cube is V=s3 , where s is the length of one edge of the cube. What is the edge length s for each cube?
look at the picture for the answer choices:)
Answer:
s = [tex]\sqrt[3]{999} }[/tex]
Step-by-step explanation:
V = s^3
Plug in the given volume.
999 = s^3
Take the third root of both sides to cancel out the ^3.
[tex]\sqrt[3]{999} }[/tex] = s
Answer:
A) s = ∛999 in.
Use the elimination method to solve the system of equations. Choose the correct ordered pair.
x + y = 9
x – y = 7
# Choice
A. (12, –3)
B. (8, 1)
C. (7, 0)
D. (16, –7)
Step-by-step explanation:
x + y = 9 ......... equation 1
x - y = 7 ............equation 2
Now solving both equations
x + y = 9
x - y = 7
2x = 16
Therefore x = 8
Now putting x = 8 in equation 1
8 + y = 9
Therefore y = 1
Here B (8 , 1) is your answer
Hope it will help you
Answer:
Im answering so the other person can get brainliest! :))
Step-by-step explanation:
A __________________ is a specific number whose value does not change.
1 point
constant
absolute value
variable
algebraic expression
evaluating
Answer:
constant
Step-by-step explanation:
it does not change
Answer:
A constant
Step-by-step explanation:
Constants don't change
Find the circumference of a circle thats diameter is 6 m
Answer: 18.85m
Step-by-step explanation:
Answer:
C = 6pi or approximately 18.84
Step-by-step explanation:
We can find the circumference from
C = pi *d where d is the diameter
C = pi* 6
We can approximate pi by 3.14
C = 3.14 *6
C =18.84
A slide and its ladder form a right triangle with the ground, with the
slide representing the hypotenuse. The top of the ladder is 10 feet above
the ground, and the bottom of the ladder is 12 feet from the bottom of
the slide. What is the length of the slide to the nearest tenth of a foot?
Answer:
15.6 ft
Step-by-step explanation:
Let's call
a: distance from the top of the ladder to the ground = 10 ftb: distance from the bottom of the ladder to the bottom of the slide = 12 ftc: length of the slideFrom Pythagorean theorem:
c² = a² + b²
c = √(10² + 12²)
c = 15.6 ft
The length of the slide, which forms the hypotenuse of a right-angled triangle with the ground, is approximately 15.6 feet to the nearest tenth of a foot when calculated using the Pythagorean Theorem.
Explanation:The question involves finding the length of a slide (hypotenuse) when its ladder and the ground form a right-angled triangle. The top of the ladder is 10 feet above the ground (opposite side), and the bottom of the ladder is 12 feet away from the bottom of the slide (adjacent side). We will use the Pythagorean Theorem to solve for the slide's length, which is represented by the equation a² + b² = c², where a and b are the lengths of the legs of the triangle and c is the length of the hypotenuse.
Consider the following circle with center at point O.
Identify one radii, one diameter, and one chord of the circle. Justify your answers.
Answer:
Chord: RT (and RS and TU, but those are also diameters)
Diameter: RS or TU
Radii: OU, OS, OT, or OR
Step-by-step explanation:
Chord: A line segment joining two points on a curve. Doesn't have to cross the center. (AKA, they have to touch the outer edge of the circle.)
Diameter: Chord that crosses the center of the circle(All examples given above cross center O)
Radius: Line segment that goes from the center of a circle to an endpoint that lies on the circle.
Stuck on this question.
Please help.
Answer:
I think it is -1.333...
Step-by-step explanation:
I did cross-multiply
15 y
__ = ___
-18 1.6
which is -1y=24
y= -1.333
I may be wrong though...
Brianna recorded the high temperatures in her town each day for 8 consecutive days. Her data are shown. 78 , 65, 72 , 80, 68 , 77, 75 , 52 Which is not a true statement about the data ?
Answer:
D)50% of the temperatures are less than 77.5 degrees
Step-by-step explanation:
The correct amount of temperatures that are less than 77.5 degrees is 6/8, or 75%. So D) is false.
when making a batch of orange juice for her basketball team, Jackie used 5 times as much water as concentrate. There were 32 more cups of water than concentrate. How much juice did she make an all? she poured the juice into quart containers. How many containers could she fill?
Answer:
Jackie can fill 10 containers
Step-by-step explanation:
5x=32+x
4x=32
x=8
so Jackie used 40 cups of water and 8 cups of concentrate to make the orange juice
4 cups equals a quart
so 40/4 = 10
Jackie can fill 10 containers
Can you help me with this plz
Answer:
m<U=95
m<W=85
m<T=119
m<V=61
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary, so add up <U and <W to equal 180.
z=6
To find <V, subtract <T from 180.
Allie must sell at least 50 gift baskets for the band fund-raiser. She already sold 36 baskets. Write and solve an inequality to determine how many more baskets Allie must sell for the fund-raiser.
Answer
14 more baskets
Step-by-step explanation:
50-36=14
The difference between two numbers is 55. If the smaller number is increased by 15 and the bigger number is decreased by 15. What will be the new difference?
Answer:
25
Step-by-step explanation:
Lets say the numbers are 100 and 45.
If the smaller number is increased by 15
45+15=60
the bigger number is decreased by 15
100-15= 85
What will be the new difference?
85-60= 25
The new difference will be 25.
Given that,
The difference between the two numbers is 55.
If the smaller number is increased by 15 and the bigger number is decreased by 15.
We have to determine,
What will be a new difference?
According to the question,
Let the first number be x,
And the second number be y.
The difference between the two numbers is 55.
x + y = 55
The smaller number is increased by 15,
Then,
The number is,
45 + 15 = 60
And the bigger number is decreased by 15,
Then,
The number is,
100 - 15 = 85
Therefore,
The new difference between the new number is,
85 - 60 = 25
Hence, The new difference will be 25.
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What is the radius of a cone with diameter d? An ice cream cone is filled exactly level with the top of the cone. The cone has a 9-cm diameter and 6-cm depth. Approximate how much ice cream (in cm cubed) is in the cone? Use 3.14 for pi.
Answer:
42.39 [tex]cm^{2}[/tex]
Step-by-step explanation:
cone formula: [tex]V =\frac{1}{3} \pi r^{2} h[/tex]
diameter to radius
9 cm to 4.5
1.) [tex]V = \frac{1}{3} \pi (4.5^{2}) (6)[/tex]
2.) [tex]= \frac{1}{3}\pi (20.25)(6)[/tex]
3.) [tex]= \frac{1}{3} 121.5\pi[/tex]
4.) divide 121.5 by 3
[tex]= 13.5\pi[/tex]
5.) multiply by 3.14
V = 42.39
Answer:
42.39
Step-by-step explanation:
David leaves the house to go to school. He walks 200 meters west and 125 meters north. How far is he from his starting point?
Answer:
325 meters
200+125=325
Step-by-step explanation:
Look at these dot plots. Which statement is true about the two data sets?
Both have the same mode.
Both have a gap between 28 and 31.
Both have the same range.
Both have the same number of data points.
Answer:
Both have the same number of data points
Answer:
Both of them have the same number of data points.
Step-by-step explanation:
please give me brainlyest
Which pair of angles is classified in the same category according to the angle measure?
Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll help you in a general way. Let's mention some categories:
1. Category of congruence:
Angles are congruent if they have the same measure. So if we have two angles:
[tex]\angle A=30^{\circ} \\ \\ \angle B=30^{\circ}[/tex]
Then they are congruent. In other words:
[tex]\angle A \cong \angle B[/tex]
1. Category of complementary angles:
Two angles are complementary if they add up to 90 degrees. So if we have:
[tex]\angle A=30^{\circ} \\ \\ \angle B=60^{\circ}[/tex]
They are complementary because:
[tex]\angle A+ \angle B=30^{\circ}+60^{\circ}=90^{\circ}[/tex]
1. Category of supplementary angles:
Two angles are supplementary if they add up to 180 degrees. So if we have:
[tex]\angle A=110^{\circ} \\ \\ \angle B=70^{\circ}[/tex]
They are supplementary because:
[tex]\angle A+ \angle B=110^{\circ}+70^{\circ}=180^{\circ}[/tex]
Answer:
the answer is A
Step-by-step explanation:
i did the assignment
Two high school basketball teams have identical records of 15 wins and 2 losses.
Sunnyside High School's mean score is 50 points and its MAD is 4 points. Shadyside High School's mean score is 60 points and its MAD is 15 points.
Lin read the records of each team’s score. She likes the team that had nearly the same score for every game it played.
Which team do you think Lin likes?
a
Shadyside - it has the higher average score
b
Shadyside - it has the higher average score and the higher MAD
c
Sunnyside - it has the lower average score but a lower MAD
d
Sunnyside - it has the lower average score
Answer:c
Step-by-step explanation:
The area of a square can be expressed by the polynomial expression 16x^4 -16x^2 +4. What is the polynomial expression for the length of a side?
Answer:
4x+2
Step-by-step explanation:
[tex]16x^{4}-16x^{2}+4=16x^{2}+4[/tex]
[tex]\sqrt{16x^{2}+4}[/tex]
[tex]\sqrt{16}*(\sqrt{x^{2}})+\sqrt{4}=4(x) +2=4x+2[/tex]
Ok I need help asap 15 points!
Answer:
[tex]-5\frac{1}{2},-3,-2,|2|,|5\frac{1}{2}|[/tex]
Step-by-step explanation:
The || signs you see remove the sign, meaning even if it says negative, it turns into a positive regardless.
A triangle has an area of 70 square inches. The height of the triangle is 8 inches. Write and solve an equation to find the length of the base of the raingle
Answer:
70 = 1/2 b *8
17.5 inches =b
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
We know the area and the height
70 = 1/2 b *8
70 = 4b
Divide each side by 4
70/4 = 4b/4
17.5 =b
What’s the answer????
Answer:B
Step-by-step explanation:
Answer:
D. 12
Step-by-step explanation:
The key is to separate this shape into multiple rectangles that you know how to solve the area for. The vertical rectangle has an area of 1*6=6cm, while the two horizontal rectangles each have an area of 1*3=3 cm, giving the shape a total of 12 cm. Hope this helps!
A circle with the equation (x + 4)2 + (y + 2)2 = 36 is reflected over the line x = 1. What is the equation of the image? (x + 4)2 + (y - 2)2 = 36 (x - 6)2 + (y + 2)2 = 36 (x + 6)2 + (y - 2)2 = 36 (x - 4)2 + (y + 2)2 = 36
Answer:
B
Step-by-step explanation:
Currently, the graph looks like the attachment.
The centre of this circle is at (-4, -2), but when we flip it over the line x = 1 (the blue line on the picture), the centre will become ((1- -4) + 1, -2) = (6, -2).
Look for the equation [tex](x-h)^2+(y-k)^2=r^2[/tex] that matches this center. We want the center (h, k) to be (6, -2), so our equation should look something like:
[tex](x-6)^2+(y+2)^2=36[/tex]
The answer is B.
Answer:
(x - 6)² + (y + 2)² = 36
Step-by-step explanation:
Centre before reflection: (-4,-2)
Centre after reflection:
(-4+5+5,-2) = (6,-2)
(x - 6)² + (y + 2)² = 36
A cone has a slant height of 26 inches and a diameter of 48 inches. What is the volume of the cone?
Answer:
Approx. 28952.92
Step-by-step explanation:
Because cone volume is found by V=πr²[tex]\frac{h}{3}[/tex].
First you find the radius. Because you have the diameter, you divide that by two, because it's 48, and diameter is radius multiplied by 2. So the radius is 24. 24pi squared with height divided by three is volume so, 28952.92.
It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
The volume of a cone is 1/3πr²h.
The volume of the cone is 6028.8 inches³.
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
The volume of a cone is 1/3πr²h.
We have,
Diameter = 48 inches
Radius = 24 inches
r = 24 inches
Slant height = 26 inches
L = 26 inches
L² = h² + r²
26² = h² + 24²
h² = 676 - 576
h² = 100
h = 10 inches
The volume of the cone.
= 1/3 x π x 24 x 24 x 10
= 3.14 x 8 x 24 x 10
= 6028.8 inches³
Thus,
The volume of the cone is 6028.8 inches³.
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