Answer:
(4^6)^-3 = 1/4^18(4^0)^-9 = 4^0(4^-3)^-3 = 4^9(-4^9)^2= (-4)^18Step-by-step explanation:(4^6)^-3 = 1/4^18(4^6)^-3= 4^(6*-3)(4^6)^-3= 1/4^18(4^0)^-9 = 4^0(4^0)^-9 = 4^(0*-9)(4^0)^-9= 4^0(4^-3)^-3 = 4^9(4^-3)^-3= 4 ^ (-3*-3)(4^-3)^-3 = 4^(9)(-4^9)^2= (-4)^18(-4^9)^2= -4^(9*2)(-4^9)^2=(-4)^18
Step-by-step explanation:
Answer:
[tex](4^{-3})^{-3}=4^9[/tex]
[tex](4^6)^{-3}=\dfrac{1}{4^{18}}[/tex]
[tex](4^0)^{-9}=4^0[/tex]
[tex](-4^9)^2=(-4)^{18}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{3 cm}\underline{Exponent Rules}\\\\$(a^b)^c=a^{bc}$\\\\$a^{-n}=\dfrac{1}{a^n}$\\\end{minipage}}[/tex]
Apply the above exponent rules to simplify each expression.
[tex]\begin{aligned}\implies (4^{-3})^{-3}&=4^{-3 \times -3}\\&=4^9\end{aligned}[/tex]
[tex]\begin{aligned}\implies (4^6)^{-3}&=4^{6 \times -3}\\&=4^{-18}\\&=\dfrac{1}{4^{18}}\end{aligned}[/tex]
[tex]\begin{aligned}\implies (4^0)^{-9}&=4^{0 \times -9}\\&=4^0\end{aligned}[/tex]
[tex]\begin{aligned}\implies (-4^9)^2&=(-4)^{9 \times 2}\\&=(-4)^{18}\end{aligned}[/tex]
Translate the triangle.
The enter the new coordinates.
A (-2,4)
C
(-3,2)
B
(1,1)
<-4, -1 >
A'(-6, [?])
B'([ ], [ ])
C'([], [])
Therefore , the solution of the given problem of triangle comes out to be A'(1, 0) (1, 0) , B'(1, 2) (1, 2) and C'(3,-2) (3,-2).
Explain the triangle.The fact that a triangle has four segments or vertices qualifies it as a polygon. It is an elementary geometric form. The name given to a triangle with endpoints A, B, then C is Triangle ABC. A singular plane and square are obtained in Euclidean geometry when the edges are not collinear. Any triangle that has three sides and three corners is a polygon. The triangle's corners are the spots at which its three sides intersect. 180 degrees is the result of three triangle angles.
Here,
The image A'B'C' is formed by our transformation rule, (+3,y-2)
So:
1. Describe the updated coordinates for points A', B', and C'?
In order to locate these new positions, we have:
A' (-23, 2-2) => A'(1, 0) (1, 0)
B' => (-23, 4-2) => B'(1, 2) (1, 2)
C'=> (0+3,0-2) => C'(3,-2) (3,-2)
2. Explain the qualities that would emerge if the respective vertices were linked together by lines.
We can notice the two triangles on the First Figure if we look closely. The green one is A'B'C, while the red one would be the triangle ABC.
The equivalent vertices with in second figure have been joined together by line segments, as shown by the green lines.
Two things can be said about those three lines: first, they are parallel, and second, they are all the same length.
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5 times a number,incrased by 8
Answer:
5 × x + 8
Would be the equation you are looking for.
70 years later from 1590
Answer: 1660
Step-by-step explanation: 70 + 1590 = QUICK MATHS
Answer:1660
Step-by-step explanation:
Can you plase answer the question.
Answer:
I don't understand your language
Step-by-step explanation:
9/11 - 1/2 in it's simplest form
Answer:
7/22 or 0.31818...
Step-by-step explanation:
have a good day!! :)
PLEASE HELP AMD SHOW WORKING.
Find the y-intercept of the equation 5x-2y=28
a._14
b.-5/2
c.5/2
d.14
Rewrite the equation in slope-intercept form
5x -2y = 28
Subtract 5x from both sides
-2y = -5x + 28
Divide both sides by -2
Y = 5/2x -14
The y intercept is -14
Answer:
Solution given:
5x-2y=28
5x-28=2y
y=5/2x-14
comparing above equation with y=MX+c
where
c=y intercept=-14
-14 is a required answer.
Is the triangle formed by points A, B, and C a right triangle?
Answer:Yes
Step-by-step explanation: It is a right triangle as if you imagine it, you can see that is half of a square, holding a right angle within it.
factor the polynomial completely and SHOW WORK i’ve been on it for the past 30 minutes and I want to cry 24x^3-78x^2+45x NO LINKS pls :))
9514 1404 393
Answer:
3(x)(4x -3)(2x -5)
Step-by-step explanation:
First of all, recognize that all coefficients are multiples of 3, and all terms have x as a common factor. This means your first factorization is ...
(3x)(8x^2 -26x +15)
Now, you can use the "X-method" or similar to factor the quadratic. Start by looking for factors of (8)(15) = 120 that have a total of -26. Both will be negative. Here is a list of the positive factor pairs.
120 = 1·120 = 2·60 = 3·40 = 4·30 = 5·24 = 6·20 = 8·15 = 10·12
The sums of these factor pairs are ...
121, 62, 43, 34, 29, 26, 23, 22
The pair with a sum of 26 is highlighted.
Using this information, you can complete the X-method diagram, or you can use these numbers to rewrite the quadratic x-term to have 2 parts:
8x^2 -20x -6x +15
Now, the quadratic can be factored by grouping:
= (8x^2 -20x) +(-6x +15)
= 4x(2x -5) +3(-2x +5)
Recognizing the sign difference between the parentheses contents, we can factor the quadratic to be ...
= (4x -3)(2x -5) . . . . . note the sign gets attached to the 3
So, the complete factorization of the original expression is ...
24x^3-78x^2+45x = 3(x)(4x -3)(2x -5)
rotation definition math
Answer: a circular movement
Step-by-step explanation: rotation has a central point that stays fixed and everything else moves around that point in a circle.
EX) a full rotation is 360
The sum of two numbers is -6. Their difference is 36. What is the smallest number?
Let first number be x.
Let second number be y.
According to question,
x+y=36…….(equation 1)
and
x-y=6…..(equation 2)
equation 2 can be written as , x=6+y……(equation 3)
Put equation 3 in equation 1,
6+y+y=36
6+2y=36
2y=36–6
2y=30
y=30/2
y=15
now, put y=15 in equation 1,
x+15=36
x=36–15
x=21
So, numbers are 21 and 15.
What happens when you log an e?
When you log an e, you are essentially taking the natural logarithm of the number. This means that you are taking the logarithm of a number to the base e, which is about 2.718. The result of this calculation is the number of times the number must be multiplied by itself to get the original number.
For example, if you were to log an e, it would be equal to 1, since e x e = e. If you log a number bigger than e, such as 8, the result would be equal to 2.079, which means that 8 must be multiplied by itself twice (2.079 times) to get the original 8.
In general, when you log a number, you can think of it as a way of seeing how many times that number needs to be multiplied by itself to get the original number. This can be useful in many fields, from mathematics to engineering to physics, to find the mathematical relationship between two numbers.
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The width of a rectangle measures (8p+5) centimeters, and its length measures (4p + 4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle
Answer:
Perimeter = 24p + 18 cm
Step-by-step explanation:
Perimeter = 2[(8p+5)+(4p+4)]
simplify:
Perimeter = 16p + 10 + 8p +8
combine like terms:
Perimeter = 24p + 18
Fill in the blank question.
Miss Wade's science class of 20 students is going on a field trip to the zoo. Each student will also take a train ride around the zoo. Mr. Sexton's class of 25 students is going on a field trip to the state park and will take a canoe trip. Admission to the zoo is twice that of the state park's entry fee as shown in the table. Each group will spend the same total amount of money.
Answer:
The total cost of the science class trip to the zoo is $1200
Step-by-step explanation:
The cost of the science class trip to the zoo is $1200, and the cost of Mr. Sexton's class trip to the state park is $1000.
which country are you from?
Answer:
Whom are you asking????
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
America
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
PLA HELP WILL MARK BRAINLEST AND GIVE 100 points
Answer:
B) measures of variability
Hope this helped :)
HELP ME ASAP AND I MEAN ASAP
Answer:
9miles
Step-by-step explanation:
Answer:
Step-by-step explanation:
hello please help i’ll give brainliest
Answer:
C.
Step-by-step explanation:
PLEASE BRAINLIESTSubtract 4 from 1/6 of 42
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
42/6 = 7
7 - 4 = 3
Step-by-step explanation:
Help I’m stuck on a question
Answer:
3rd one
Step-by-step explanation:
Can someone help me with this.
Writing equations from graph
Does parallel programming always improve the performance of an application over sequential programming?
Parallel programming can improve the performance of an application over sequential programming in certain cases, but it is not a guarantee.
Explain about working of Parallel programming?Parallel programming allows for the use of multiple processors or cores to perform tasks simultaneously, which can improve the overall speed of an application. However, parallel programming can also introduce complexity and overhead, which can decrease performance. The potential for improved performance depends on the specific application and the design of the parallel implementation. Some applications may not benefit from parallel programming because they are not computationally intensive or because their data is not easily divided into parallelizable tasks. Additionally, the performance improvement also depends on the number of cores and the communication costs between them.
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Mike jogged 6 laps around a 0.25 mile track on Tuesday and 7 laps on Thursday. How many miles did he job on Tuesday and Thursday?
Answer: 3.25 miles
Step-by-step explanation:
Given
Mike Jogged 6 laps around a 0.25-mile track on Tuesday
7 laps on Thursday
Miles jogged on Tuesday is [tex]6\times 0.25=1.5\ \text{mile}[/tex]
Miles jogged on Thursday is [tex]7\times 0.25=1.75\ \text{miles}[/tex]
Total miles Jogged is [tex]1.75+1.5=3.25\ \text{miles}[/tex]
According to the synthetic division below, which of the following statements are true? Check all that apply.
A. (x+2) is a factor of 5x2-16x + 12.
B. (x-2) is a factor of 5x2-16x + 12.
C. (5x2 - 16x+12) + (x - 2) = (5x-6)
D. (5x2-16x +12) + (x + 2) = (5x-6)
E. The number -2 is a root of F(x) = 5x2 - 16x + 12.
F. The number 2 is a root of F(X) = 5x2 - 16x+ 12.
Answer:
Correct answer just took the quiz
Step-by-step explanation:
The correct option for the given statement is that (x-2) is a factor of [tex]5x^{2} -16x+12[/tex].
What is a factor?It is a number by which the number whose it is a factor can be divided.
How to divide an equation?To check factor of an equation we need to divide it with so to check (x-2) a factor of [tex]5x^{2} -16x+12[/tex] we need to divide the equation by x-2
=( [tex]5x^{2} -16x+12[/tex])/x-2
=5x-6
So it is a factor of the given equation.
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Can I please have help? No files please!
Answer:
[tex]J.(x,y)[/tex] → [tex](9x,9y)[/tex]
[tex]--------[/tex]
hope it helps..
have a great day!!
a sum of money is divided among two friends in the ratio 4:11 if the smaller amount is $420, determine the larger amount?
Answer:
1155
Step-by-step explanation:
let the ratio be 4x:11x
4x=420
x=105
11x=11*105
=1155
Q 9-1 Pythagorean Theorem and Trig
A girl is 20 ft. east of her school and her bike is 21 ft. south of the school. How far is she from her bike? Round to the nearest hundredth.
The distance between the girl and her bike is 25.00 ft.
What is distance?Distance is the measure of how far apart two objects, places, or points are. It can be measured in a variety of units, such as miles, kilometers, inches, centimeters, or other units.
The distance between the girl and her bike can be found using the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse.
In this case, the girl is 20 ft. east of the school and 21 ft. south of the school. Therefore, the two sides of the triangle are 20 ft. and 21 ft. and the hypotenuse is the distance between the girl and her bike.
Using the Pythagorean Theorem, the hypotenuse is equal to the square root of (20^2 + 21^2) = 25.00 ft.
Therefore, the distance between the girl and her bike is 25.00 ft.
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What is a shape called with 1000000000 sides?
Answer:
Regular megagon
Step-by-step explanation:
Regular megagon is a shape called with 1000000000 sides.
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
The distance between two points A and B on latitude 60°S along their parallel of latitude is 2816km. Calculate the angular difference in their longitudes. If A is due west of B and on longitude 20°W, find the longitude of B
Answer:
Part A
The angular difference of their longitude is approximately 50.65°
Part B
The location of B is on the longitude of approximately 30.65°E
Step-by-step explanation:
Part A
The given parameters are;
The location of the points A and B = Along the parallel of latitude 60°
The radius of the Earth, R = 6,371 km
The radius at the 60° parallel of latitude, r = R × cos(θ)
∴ r = 6,371 × cos(60°) = 3,185.5
The circumference of the 60° parallel of latitude, C₆₀ = 2 × π × 3,185.5
The angle subtended by the arc formed by their distance apart, θ₁, is given as follows;
θ₁ = 2,816/(2 × π × 3,185.5) × 360 ≈ 50.65°
The angular difference of their longitude, θ₁ ≈ 50.65°
Part B
Given that the location of A is on the longitude 20°W and A is due west of B, we have the location of B is on the longitude (50.65° - 20°)E = 30.65°E
The location of B is on the longitude of approximately 30.65°E.
Select the correct answer. which expression is equivalent to this quotient?
An expression which is equivalent to given [tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5z+15} }[/tex] is 5 / (z + 5)
The correct answer is an option (B)
Consider given quotient.
[tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5z+15} }[/tex]
Consider expression 5z + 15
We can write this expression as 5(z + 3) by taking out the common factor 5.
So given quotient would be,
[tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5(z+3)} }[/tex]
As we know a fraction is put in lowest terms by cancelling out the common factors of the numerator and the denominator.
For fraction [tex]\frac{z+3}{5(z+3)}[/tex] , the common term is z + 3.
So, [tex]\frac{z+3}{5(z+3)} = \frac{1}{5}[/tex]
We know that for fractions a/b and c/d where b ≠ 0, d ≠ 0, if we take quotient of these fraction then that would be,
(a/b) / (c/d) = (a/b) × (d/c)
So, given quotient would be,
[tex]\frac{\frac{1}{z+5} }{\frac{1}{5} }\\\\\\=\frac{1}{z+5} \times \frac{5}{1} \\\\\\=\frac{1\times 5}{(z + 5)\times 1}[/tex]
= 5 / (z + 5)
Therefore, an equivalent expression is: 5 / (z + 5)
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