Step-by-step explanation:
[tex]8 ^{4} \times 3 {}^{2} [/tex]
Count how many of the same number, since you have four 8's the exponent will be
[tex]8 {}^{4} [/tex]
same applies for 3
Answer: [tex]8^4 \times 3^2[/tex]
On a keyboard, you can type 8^4*3^2 to indicate the same thing.
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Explanation:
There are four copies of 8 being multiplied. Writing [tex]8^4[/tex] is a shorthand way of saying [tex]8 \times 8 \times 8 \times 8[/tex]. The exponent tells us how many copies of the base to multiply out.
Similarly, we have two copies of 3 which means [tex]3 \times 3 = 3^2[/tex]
The area of this field is about 500,000 m2. What is the field's area to the nearest square meter? Assume that the side lengths of the square are exactly 800m.
Answer:
502,655[tex]m{2}[/tex]
Step-by-step explanation:
field's area to the nearest square is 1,40,000 m².
What is the area of composite shapes?The area of composite shapes is the area that any composite shape covers. A composite shape is one that is made up of a few polygons that are joined together to make the desired shape. These forms or figures can be constructed out of triangles, squares, quadrilaterals, and so on. To calculate the area of a composite shape, divide it into fundamental shapes such as squares, triangles, rectangles, hexagons, and so on.
Given area of the circular field is 500,000 m². and also given the side of a square around it which is 800 m.
Hence, the area of the square is 640,000 m².
Therefore the remaining area of the space is 1,40,000 m².
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A composition of rigid
motions maps one figure to another figure is each intermediate image in the composition congruent to the original and final figures? Explain.
Answer:
Swaped
Step-by-step explanation:
Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions.
What types of motions create congruent figures?The two are said to be congruent if and only if one of two plane figures can be produced from the other by a series of rigid motions such as rotations, translations, and/or reflections.Because rigid motions preserve length and angle measurements, the corresponding parts of congruent figures are also congruent. As a result, if the corresponding parts of two figures are congruent, there is a rigid motion or a composite rigid motion that maps one figure onto the other.Every point in the plane can be moved in that direction using any method. a) The distance ratio between the two points remains constant. b) The relative positions of the points remain unchanged.Hence, Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions. As a result, the original and final figures can be seen in agreement with each intermediate image.
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A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for$15 each and balcony tickets for$12 each. They want to make at least $3,000 in ticket sales.
Write an inequality whose solutions are the number of floor and balcony tickets sold if they make at least $3,000 in ticket sales.
Answer:
15x + 12y ≥ 3000
Step-by-step explanation:
Let
Number of floor seats tickets sold = x
Number of balcony seats tickets sold = y
Cost of floor tickets = $15
Cost of balcony tickets = $12
They want to make at least $3,000 in ticket sales.
At least in inequality means ≥
The inequality that represent the situation is
15x + 12y ≥ 3000
Answer:
:)
Step-by-step explanation:
15x + 12y ≥ 3000
Number of floor seats tickets sold = x
Number of balcony seats tickets sold = y
Cost of floor tickets = $15
Cost of balcony tickets = $12
They want to make at least $3,000 in ticket sales.
At least in inequality means ≥
The inequality that represent the situation is 15x + 12y ≥ 3000
f(2) = ? pls helpppppp
Answer:
-2
Step-by-step explanation:
f(2): take the (2) from the f(2) because that's the x value.
you go to where it's 2 on the x-axis.
f(x)=f(2)
f(x)=y
so you are trying to find the y-axis number when you are at 2 on the x-axis.
whichhh is -2
what is the value of the power a if 5^a=1/125
See attachment for math work and answer.
MULTIPLE CHOICE Determine which statement follows
logically from statements (1) and (2).
(1) If a triangle is equilateral, then it has three congruent sides.
(2) If all the sides of a triangle are congruent, then each of its
angles measures 60.
A If a triangle is not equilateral, then it cannot have congruent angles.
B A figure with three congruent sides is always an equilateral triangle.
C If a triangle is not equilateral, then none of the angles equals 60.
D If a triangle is equilateral, then each of its angles measures 60.
If a triangle is equilateral, then each of its angles measures 60°. Therefore, option D is the correct answer.
What is an equilateral triangle?An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60° therefore, it is also known as an equiangular triangle.
The given statements are
(1) If a triangle is equilateral, then it has three congruent sides.
(2) If all the sides of a triangle are congruent, then each of its
Here, if a triangle is equilateral, then each of its angles measures 60°.
Therefore, option D is the correct answer.
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Which expression is equivalent to 163?
O 27
O 211
o 212
o 264
Answer:
C
Step-by-step explanation:
For edge
The exponential equation is given by the expression A = 2¹²
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = 16³ be equation (1)
Now , the value of 16 = 2⁴
So , from the laws of exponents , we get
( mᵃ )ᵇ = mᵃᵇ
And , 2⁴⁽³⁾ = 2⁴ˣ³
And , the value of A = 2⁴ˣ³ = 2¹²
Hence , the expression is A = 2¹²
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Which triangle has 0 reflectional symmetries?
A triangle has all different side lengths and angle measures.
A triangle has all equal side lengths and angle measures.
A triangle has 2 equal side lengths and 2 equal angle measures.
A triangle has 2 equal side lengths and 2 equal angle measures.
Answer:
A
Step-by-step explanation:
A triangle has all different side lengths and angle measures have? 0 reflectional symmetries . Option A is correct.
Which triangle has 0 reflectional symmetries to determine.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
For a triangle that has 0 reflectional symmetries implies the triangle must be of irregular shape. Every measure must not be identical. If any measure in the triangle is not the same means every side and angle has a different measure. So it is impossible to find any axis of symmetry within the triangle
Thus, a triangle has all different side lengths and angle measures have? 0 reflectional symmetries. Option A is correct.
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Given g(x)=-x-1, find g(-4)
Answer:
g(-4)=3
Step-by-step explanation:
g(x)=-x-1
g(-4)=-(-4)-1
g(-4)=4-1
g(-4)=3
Answer:3
Step-by-step explanation:
While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?
Answer:
Option (4)
Step-by-step explanation:
From the figure attached,
Length of the rope holding Kayla to the boat = 240 meters
Horizontal distance of Kayla from the boat = x = 181 meters
Let the distance of Kayla above the boat = y meters
Triangle formed is a right triangle. Therefore, by applying Pythagoras theorem in the given triangle,
x² + y² = (240)²
(181)² + y² = (240)²
y = [tex]\sqrt{57600-32761}[/tex]
= [tex]\sqrt{24839}[/tex]
= 157.6 meters
Therefore, vertical distance between Kayla and boat is 157.6 meters.
Option (4) will be the answer.
If a diameter of a circle has endpoints (-3, 5) and (5, 7), then the center of the circle is
Answer:
The midpoint formula is ( (x1 + x2)/2, (y + y2)/2 ) The answer will be an ordered pair.
(-7 + 5)/2, (3 + 1)/2
(-2/2, 4/2)
(-1, 2)
The center of the circle is at (-1,2)
operaciones complejas raiz de -100
Answer:
Step-by-step explanation:
10 i
es esto
What vocabulary term describes symbols that represent numbers whose quantity we don't know?
Answer:
variable
Step-by-step explanation:
What is the slope? Pls answer quickk
Answer:
4/5
Step-by-step explanation:
rise/run is the slope
What is 5.336 rounded to the nearest tenth of an ounce?
Answer:
5 because its a 3 so you cant round up so you round down.
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
if you have to round anything under five you would round down to zero there for the the number after it would not change hope this helped
Please help me solve this problem!! (Algebra 1)
m≥5m-4
Answer:
Step-by-step explanation:
M is less than or equal to 1
The Wholesome Bakery baked 4 loaves of bread on Thursday, 12 loaves of bread on Friday, 36 loaves of bread on Saturday, 108 loaves of bread on Sunday, and 324 loaves of bread on Monday. If this pattern continues, how many loaves of bread will they bake on Tuesday?
Answer:
once again, the pattern is multiply by 3
Answer:
972
Step-by-step explanation:
the pattern is multiplied by 3
HELP ME, PLEASE.
find x:
[tex](x-1)\sqrt{x^{2}-2x+4 }+(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]
Answer:
x=2
Step-by-step explanation:
Step-by-step explanation:
x=2to understand thisyou need to know about:equationgiven:[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]
to solve:xlet's solve:[tex] \sf rewrite \: (x - 1) \sqrt{ {x }^{2} - 2x + 4} \: as \: (x - 2)( \sqrt{ {x}^{2} - 2x + 4 } ) + (x + 1) ( \sqrt{ {x}^{2} - 2x + 4}) : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)( \sqrt{ {x}^{2} - 2x + 4)} + (x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex][tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex]
[tex](x - 2) \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} = 0[/tex][tex] \sf \: divide \: both \: sides \: by \: \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} : \\ x - 2 = 0[/tex][tex] \therefore \: x = 2[/tex]
Please help! I'm in a hurry
Answer:
the answer is 62
Step-by-step explanation:
you take 180 and subtract 118
Answer:
The answer should be 62, but i'm not positive so correct me if i'm wrong!
Explanation:
What I did is i added 118 and 118 then subtracted 360 by the sum. After that I divided the result by two which gave me 62, and I am almost sure that is the answer, but like I said i'm not positive. :)
Rosa bought a storage container in the shape of a cube to store clothes. The storage container has a volume of 950 cubic inches. What is the
length of one side of the storage container? Estimate the length to the nearest integer.
inches
Answer:
10 in
Step-by-step explanation:
The length, height and width of a cube are always equal. Therefore, the length of one side of the storage container can be any of the side length of the cube.
Volume of cube is given as a³. Where, a = length of one of the sides
Given that the storage container has a volume of 950 in³, side length of one side is:
[tex] 950 = a^3 [/tex]
[tex] \sqrt[3]{950} = \sqrt[3]{a^3} [/tex]
[tex] \sqrt[3]{950} = a [/tex]
[tex] 10 = a [/tex] (nearest integer)
Length of one side = 10 in
U read 105 pages of a novel over 7 days.What is the mean number of pages you read each day.PLs answer this to get brainiest:)
Answer:
The mean is 15 pages a day.
Step-by-step explanation:
105/7=15
since i tried looking it up and it gave me a dum answer heres the real answer since i got it wrong lol
The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.
StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1
StartFraction a Over 2 h EndFraction minus b 2 equals b 1. – b2 = b1
StartFraction 2 a minus b 2 Over h EndFraction equals b. = b1
StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h
StartFraction a Over 2 left-parenthesis b 1 plus b 1 right-parenthesis EndFraction equals h.= h
Answer:
the answer to your question is A and D i just got it right
Step-by-step explanation:
i hope this helps your welcome
StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1
StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h
Answer:
A and D
Step-by-step explanation:
correct on edge
Please help Find sin and csc.
-16 > -f, if f = 15
True or falsehood
Answer:
false
Step-by-step explanation:
15 is a larger number than -16
3√5•3√2 =
A. √10
B. 9√10
Which one?
Work Shown:
[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]
The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
I need help with this question.
Answer:
its the 4th one
Step-by-step explanation:
x<-70
NEED HELP ASAP WILL GIVE BRAINLYEST What is the value of this expression? (−7)(−2)+(−15÷3) Enter your answer in the box.
Answer:
9
Step-by-step explanation:
please help me out!!!
Simplify the expression.
(4a- 80 - 4a2) + (7a3 - 7 - 6a)
Answer:
the answer should be 7a^3-4a^2-2a-87
A ball is thrown upward from the top of a 192-foot-high building. The ball is 240 feet above ground level after 1 second, and it reaches ground level in 6 seconds. The height above ground is a quadratic function of the time after the ball is thrown. Write the equation of this function.
Answer:
The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].
Step-by-step explanation:
From Mechanical Physics we must remember that height reached by the ball as a function of time is a quadratic function if and only if ball is uniformly accelerated by gravity and viscous forces and Earth's rotation effects can be neglected. After assuming those considerations as true, the standard form of the quadratic function is:
[tex]h = a\cdot t^{2}+b\cdot t + c[/tex] (Eq. 1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h[/tex] - Height of the ball, measured in feet.
[tex]a[/tex] - Second order coefficient, measured in feet per square second.
[tex]b[/tex] - First order coefficient, measured in feet per second.
[tex]c[/tex] - Zero order coefficient, measured in feet.
From Algebra, we can obtain a quadratic function by know three distinct points and solving the resulting system of linear equations:
[tex]A(t, h)= (0\,s,192\,ft)[/tex]
[tex]c = 192\,ft[/tex] (Eq. 2)
[tex]B(t,h) = (1\,s,240\,ft)[/tex]
[tex]a+b+c = 240\,ft[/tex] (Eq. 3)
[tex]C(t,h) =(6\,s,0\,ft)[/tex]
[tex]36\cdot a + 6\cdot b + c = 0[/tex] (Eq. 4)
By Algebraic methods, we get this unique solution:
[tex]a = -16\,\frac{ft}{s^{2}}[/tex], [tex]b = 64\,\frac{ft}{s}[/tex], [tex]c = 192\,ft[/tex]
The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].