Answers
Answer:
10^14
Step-by-step explanation:
The expression (10^2)^7 uses an exponent rule known as power raised to a power.
The rule states that when you multiply a base and its exponent to a power, you multiply the inner exponent and the outer exponent:
[tex](a^m)^n\\a^m^n[/tex]
Thus, we have
[tex](10^2)^7\\10^2^*^7\\10^1^4[/tex]
Related Questions
For a project in her Geometry class, Violet uses a mirror on the ground to measure the height of her school’s football goalpost. She walks a distance of 6.65 meters from the goalpost, then places a mirror flat on the ground, marked with an X at the center. She then walks 4.25 more meters past the mirror, so that when she turns around and looks down at the mirror, she can see the top of the goalpost clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.75 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
Answers
Answer: To find the height of the goalpost, we can use the information provided in the problem and the concept of similar triangles. Since Violet is looking down at the mirror, the line of sight from her eyes to the top of the goalpost forms a right angle with the ground. This right angle creates two similar triangles, one between her eyes, the ground, and the top of the goalpost, and the other one between the mirror on the ground, the goalpost, and a point on the ground that is the same distance from the mirror as the top of the goalpost is from Violet's eyes.
Since similar triangles have the same angle measures, we can set up the following proportion:
(distance from mirror to point on the ground) / (distance from mirror to top of goalpost) = (distance from Violet's eyes to ground) / (height of goalpost)
We can now use the information provided in the problem to solve for the height of the goalpost.
(6.65+4.25)/x = 1.75 / H
x = (6.65+4.25) * (1.75/H)
Where x is the distance from mirror to top of the goalpost.
Substitute the known values and solve for H
H = 1.75*(6.65+4.25) / x = 1.75*10.9 / x
We know that x = 4.25, so
H = 1.75*10.9 / 4.25 = 4.093 m
The height of the football goalp
Step-by-step explanation:
Find the distance between point k and point L
Answers
The distance between two points in a plane is the length of the line segment connecting them. The formula d=((x2 - x1)2 + (y2 - y1)2) is frequently used to determine the separation between two points.
What do you call the distance between points?The length of the line segment bridging two locations in a plane is known as the distance between them. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points. This equation can be used to determine the separation between any two locations on an x-y plane or coordinate plane.
The length of the line segment is the distance between two points. Congruent segments are those that share the same length. By using a ruler to draw a line, we may determine how far apart two points are.
x,y = (-8,0) (-8,0)
or
x/y = -8/0
If there was an association between L and K, we would use x,y = 8,0.
Since the query reads "between point K and point L," the x,y relationship becomes "-8,0."
Therefore, the answer is -8,0.
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Anna's hair has grown
2
3
of an inch in the 6 weeks since her last haircut. How fast does her hair grow?
Answers
Explanation
I had this question on my homework and got it right. Hope this helps!
Which of the following are possible solutions for this inequality?
Answers
What is the maximum number of students among whom 135 pens, 180 pencils and 300 books can be equally divided.
Answers
Answer:
Step-by-step explanation: You can add all of these numbers with a calculator. but be sure what are the numbers telling you what to do. So always focus on the words that are going to mention about the numbers.
1/2 X (6 X 4)divided by + 3 + 2
Answers
Answer:
1/108
Step-by-step explanation:
What coins would I need to make 77 cents fewest possible
Answers
Answer:
Step-by-step explanation: Two quarters, 50 pennies: N = 52 (N+1 = 53) One quarter, 75 pennies: N = 76 (N+1 = 77) 100 pennies, N = 100 (N+1 = 101) 6 nickels, 70 pennies: N = 76 (N+1 = 77)
Answer:
2 quarters, 2 dime's, 1 Nickel, 2 penny's
Step-by-step explanation:
Well u well need to quarters because 2 quarters are $25 cent then u well need 2 dimes because when your counting dime's that 10 20 30 40 50 so to dime's and 1 Nickel that makes $75 cents so u need 2 penny's and that makes 77
Geometry
If BE = 2x + 2, BD = 5x - 3, and
AE = 4x - 6, what are the values
of x and AC?
Answers
In parallelogram, x=7 and AC = 44 units are the values of x and AC .
What do math parallelograms mean?
A unique kind of quadrilateral known as a parallelogram is defined by having both pairs of its opposite sides parallel and equal.
A parallelogram ABCD with the coordinates AB II CD and AD II BC can be seen in the provided illustration. Moreover, AB = CD and AD = BC. Non-Example: A parallelogram is not represented by a trapezium.
Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.
BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6
Using (i)
BE = BD/2
2x + 2 = (5x- 3)/2
2(2x + 2) = 5x - 3
4x + 4 = 5x - 3
x = 7
Now , AE = 4(7)-6 = 28-6 = 22
AC =2 AE = 2 (22) =44 units.
Hence, x=7 and AC = 44 units.
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in an isosceles triangle, if the measure of a base angle is 74∘, what is the measure of the vertex angle?
Answers
Answer:
the measure of vertex angle is 32°
Answer:
32°
Step-by-step explanation:
An isosceles triangle has 2 congruent base angles, both 74° , then
vertex angle = 180° - (74 + 74)° = 180° - 148° = 32°
Freda bought a sandwich for $4. 00 and a drink for94$. Her grandson ordered a meal for$6. 35. What was the total price of all three items when 8% sales tax was added?Explain how touse estimation to check whether your answer is reasonable
Answers
The answer is $112.70 The Question is a simple Sales tax rate calculating problem.
How do you solve sales tax problems?Multiplying the purchase price by the sales tax rate will provide the sales tax. Don't forget to round the sales tax rate from percent to decimal. The price of the purchase is increased after the sales tax has been calculated. The entire cost is what the client pays as a result.
Sales tax rate = Sales tax percent / 100.
Sales tax = List price x Sales tax rate.
Given,
Rate of sandwich is = $4. 00
Rate of drink is = 94$
The rate of a meal that Her grandson ordered is =$6. 35.
What was the total price of all three items when 8% sales tax was added?
Total price of all three items without tax = 4 + 94 + 6.35
= $104.35
Total price of all three items with tax = (100% + tax) * Price
= (100% + 8%) * 104.35 = 108% * 104.35
= 1.08 * 104.35 = 112.698
≅ $112.70
The estimation to check if the result is reasonable by putting the answer in the original equation.
E.g. x + 4 = 10; x = 10 - 4
We get that x = 6
Plug in x = 6 in x + 4 = 10.
6 + 4 = 10.
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Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. how much cheese does mai use per pizza? At this rate, how much cheese will she need to make 15 pizzas? Please help its due tomorrow
Answers
Mai uses 10 ounces of cheese to make 4 pizzas, so she uses 10/4 = <<10/4=2.5>>2.5 ounces of cheese per pizza.
To make 15 pizzas, she will need 152.5 = <<152.5=37.5>>37.5 ounces of cheese.
(Pls help!!) Find the volume of each cylinder in terms of π. Which cylinder has the greatest volume? Cylinder A: diameter7 in., height12 in. Cylinder B: diameter12 in., height7 in.
Answers
Answer: Cylinder B has the greater volume
Step-by-step explanation:
Cylinder A= 147πinch cubed
Cylinder B=252π inch cubed
(if youre using savvas or something like that, use the pie symbol and it might work if youre having difficulties.)
Determine the domain of the following graph
Answers
Answer:
-5<=x<=5 or in other terms {-5, 5}
Answer:
-5 ≤ x ≤ 5 Step-by-step explanation: That's the answer the dot starts at the x value of -5 and continues to +5. THe x is in the middle because this is domain.
Factor by gcf 6x2+3x+21 The 2 is supposed to be small.
Answers
Given:
The expression is:
[tex]6x^2+3x+21[/tex]
To find:
The factor of the given expression by GCF.
Solution:
We have,
[tex]6x^2+3x+21[/tex]
Here, 3 is the greatest common factor (GCF) of [tex]6x^2,3x,21[/tex].
Taking out GCF, we get
[tex]6x^2+3x+21=3(2x^2+x+7)[/tex]
Therefore, the required factor form of the given expression is [tex]3(2x^2+x+7)[/tex].
NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3
Answers
Answer:
74
Step-by-step explanation:
Un comerciante tiene dos clases de aceite, la primera de 6 euros el litro y la segunda de 7.2 euros el litro.¿Cuantos litros de cada clase hay que poner para obtener 60 litros de mezcla a 7 euros el litro?
Answers
AnswerNo nin
Step-by-step explanation:
dsfsfsdffsfsfsfs is bad
A) 2
B) 4
C) 10
D) 6
Answers
Answer:
this is B 4
Step-by-step explanation:
Help me please (no links plz)
Answers
9514 1404 393
Answer:
vertex: Ssides: ST and SRStep-by-step explanation:
The vertex is the point the rays have in common. The side rays are named by naming the vertex first, then a point on the ray.
The rays come together at point S. The name of the vertex point is S.
The sides of the angle are rays ST and SR.
Find the measurements of the exterior angles of the polygon
Explain (not optional)
Answers
On solving the question, sum of exterior angle is 360 degree. Hence, the value of x is 120°.
How do you calculate a triangle's total exterior angles?The exterior angle of a triangle is equal to the sum of its two opposite interior angles, according to the external angle theorem. Remember that the total external angle, measured from each vertex, is always 360°. Alternatively stated, d + e + f = 360°.The angle that is created between a triangle's extended side and one of its sides is known as the external angle. A triangle has a total of 360 degrees in its outside angles.
x + ( x+6) +114 = 360
2x = 240
x = 120
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WHAT IS THE VOLUME OF THIS CONTAINER 2FT 1FT 1 FT
Answers
Answer:
What container is it. Is it cilyndrical or a prism ?
Step-by-step explanation:
I need help finding the answer X=6y+24
2x+3y=3
Answers
Y=-3
Step: Solve
x
=
6
y
+
24
for x:
x
=
6
y
+
24
Step: Substitute
6
y
+
24
for
x
in
2
x
+
3
y
=
3
:
2
x
+
3
y
=
3
2
(
6
y
+
24
)
+
3
y
=
3
15
y
+
48
=
3
(Simplify both sides of the equation)
15
y
+
48
+
−
48
=
3
+
−
48
(Add -48 to both sides)
15
y
=
−
45
15
y
15
=
−
45
15
(Divide both sides by 15)
y
=
−
3
Step: Substitute
−
3
for
y
in
x
=
6
y
+
24
:
x
=
6
y
+
24
x
=
(
6
)
(
−
3
)
+
24
x
=
6
(Simplify both sides of the equation)
Answer:
x
=
6
and
y
=
−
3
A construction worker is tasked with tiling two square rooms, room A and room B. Room B has side lengths that are double the side lengths of room A. The construction worker uses one box of tiles to complete the flooring of room A.
How many boxes of tiles will they need to complete the flooring of room B? Assume the boxes of tiles are identical.
Answers
Therefore, since the area of room B is four times the area of room A, four boxes of tiles will be needed to complete the flooring of room B.
Define Volume and Area.The area is the volume a flat, two-dimensional item occupies in a plane. The space occupied by a three-dimensional object is referred to as its volume. Area is measured in square units. Volume is measured in cubic units.
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface.
Since the side lengths of room B are double the side lengths of room A, the area of room B is four times the area of room A.
The number of tiles needed to cover a floor is equal to the area of the floor divided by the area of each tile.
Since the boxes of tiles are identical, the number of tiles in each box must also be identical.
Therefore, since the area of room B is four times the area of room A, four boxes of tiles will be needed to complete the flooring of room B.
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Find the value of x.
Answers
Answer:
x = 68 degrees
Step-by-step explanation:
The right angle symbol tells us its 90 degrees.
90 degrees - 22 degrees = 68 degres
Answer:
x = 68 degrees
Step-by-step explanation:
It is given that this angle is a right angle. A right angle means that it is 90 degrees.
One part of the angle is 22 degrees so the other is labled x.
90 - 22 = 68 degrees
Therefore, x=68 degrees
If a is 200% of b, what percent of 5a is 4b?
Answers
250% (percent) of 5a is 4b.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
here, given that,
a is 200% of b
i.e. a=2b
Now, 5a=10b
So, we have,
5a/4b
=10b/4b
=5/2
=250%
Hence, 250% (percent) of 5a is 4b.
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A circle has centre C and radius 4 cm.
The diagram shows the circle with a point
D which lies on the circle. The tangent at D
passes through the point E. EC = √65 cm.
Find
a) the size in radians of angle DCE
b) the area of the shaded region
Answers
Step-by-step explanation:
EC = 165 cm (Given) Tangent of circle also makes 90°.
a) sind = Perpendicular Hypotenuse = CD = EC 165 => 0 = Sin = 0.519 ~ 0.52 =29.7448 ~ 29.75° =<E
By angle sum property of triangle. <D+<E+ <C = 180°
90° + 29.75 + LC = 180°
<C = 180-90-29.75 = 60.25° <C= 60.25°
<DCE = <C = 60.25 x π/180 = 1.052 radians.
(b) Area of triangle DCE = 1/2 x b x h = 1/2 x ED X 4
ED² + CD² = EC² ED² + 4² = (√65)² => EC² = 65-16 = 49 ED=7
Area = 1/2 x 7 x 4 = 14 cm²
Area of sector a π x 4²x 60.25/360 = 8.4125 cm2
Area of shaded region= Area ADCE Area of sector -
= 14-8.4125 = 5.5875 cm²
(a) <DCE = 1.052 radians b) Area shaded of region = 5.5875cm²
Tate is trying to decide if he should spend $100 to purchase virus protection software for his new computer
Answers
Answer: Hello your question is vague hence I will give a more general answer
answer : Tate spending $100 to purchase virus protection will help protect his computer from Viruses that can cause Damages worth more than $100. therefore he should purchase the virus protection.
Step-by-step explanation:
Virus protection software ( i.e. Anti-virus software) is a set of computer programs written into the computer or any other electronic Gadget like a Phone with the purpose of protecting, detecting and removing malicious software ( computer viruses ) from the computer
a forest covers 59,000 acres. A survey finds that 0.6% of the forest is old oak trees How many are acres of old oak trees are there?
Answers
Answer:
354acres
Step-by-step explanation:
Total acre = 59000
Percentage of old oak acre trees is 0.6%
Therefore, the acres of old trees are calculated:
59000 * (0.6÷100) = 354acres
What is an example of a similarity transformation geometry?
Answers
We refer to the enlargement or reduction of one of two figures as a similarity transformation. For example: When one of two figures can be produced from the other and the ratio of their corresponding sides is equal, we say that the two figures are comparable. Similar figures come in a variety of sizes and shapes.
Either a geometric similarity or a matrix transformation that produces a likeness are referred to as "similarity transformations" in this context. Space items are changed into comparable things by similarity transformations. Fractals and iterated function systems are based on essential principles such as similarity transformations and the idea of self-similarity.
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what is m<FDG?
Parts of a circle and central angles
Answers
Answer:
m<FDG = 120 degrees
Step-by-step explanation:
90 + 150 + x = 360
subtract 90 and 150 from both sides
x = 120
I need to factor completely to get an answer for
n²-10n+24
I need to get factors in parenthesis like (n +/- #) (n +/- #)
I need it before tomorrow
Answers
Answer:
(n - 6)(n -4)
Step-by-step explanation:
Find two numbers that add to - 10 and multiply to +24.
In this case, -6 * -4 satisfies these requirements.