The expression is equivalent to [tex]5^2[/tex].
Given
Expression; [tex]\rm \dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}[/tex]
Exponential expression;The definition of exponential form is a way of writing a number that is multiplied by itself more than once.
To solve the exponential equation follow all the steps given below.
Therefore,
The expression is equivalent to;
[tex]\rm =\dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6+4}}{5^{-4}}\\\\=\rm \dfrac{5^{-2}}{5^{-4}}\\\\=5^{-2+4}\\\\=5^2[/tex]
Hence, the expression is equivalent to [tex]5^2[/tex].
To know more about expression click the link given below.
https://brainly.com/question/11865504
please help i spent all my points on this
Answer:
exact value is 264π and decimal to the thousandths is 829.381m²
Step-by-step explanation:
It gives you the formula.
(pi times 8 times 25) + (pi times 8 squared)
Answer:
A≈829.38
A= pi x 8 x 25 + (pi x 8^2)
A= 200pi + 64 pi
A= 264pi
Answer is 264
Hope this helps!
need help ASAP 1st correct answer gets brainliest
Answer:
22 1/2 degrees
Step-by-step explanation:
4 x 5 = 20
(1/2) x 5 = 2.5
Answer: 22.5 degrees
Step-by-step explanation:
If it fell 4.5 degrees each hour, and there were 5 hours, 4.5x5 == 22.5
5 = 4x + 13
Solve for X
Answer:
5=4x+13
4x+13=5
4x=5-13
4x= -8
x = -8÷4
x = -2
# be careful£
maya is driving 120 miles to her grandmothers house.she drivs 35% of the distance before stopping for lunch. how far does she drive before stoppping for lunch
Answer:
42 miles
Step-by-step explanation:
32% is the same thing as 0.35
Think of the word "of" as multiplication.
Therefore, 0.35 of 120 miles is 0.35×120
This equals 42 miles.
An electrician bought 80 feet of electrical wire and used 55 feet of it. What percent of the wire went unused? 22% 25% 31. 25% 45. 5%.
Answer: it's 31.3 percent.
Step-by-step explanation:
55 feet of 80 is 68 percent, to find the remainder you need to subtract 68 by 100, and with that, you get 31.3 percent.
if you want that in feet it's about 25 feet
Please help me with number 11
Answer:
€0.78
Step-by-step explanation:
To find Euros per Dollar, divide euros by dollars:
€175/$225 = 7/9 €/$ ≈ 0.78 €/$
Kareem received about €0.78 for each dollar exchanged.
can someone please help me with this
Step-by-step explanation:
sum of all angles = 360
7x-4 = 360
7x= 364
x = 52
angle j = 150
angle k = 62
angle m = 100
write the equation of a line that passes through the points (5,-9) and (-3,6)
Answer:
Step-by-step explanation:
We need to find the slope first, and we'll use the formula rise/run.
6 - -9/ -3 - 5 = 15/-8.
Our slope is -15/8.
Now, we need to find the y-intercept, which is b.
y = mx+b.
m is the slope, so y=-15/8x+b
Now, let's replace x with 5 from that point and replace y with -9 from that same point.
-9 = -(15/8)(5) + b
-72/8 = -75/8 + 3/8
So, the equation is y= -15/8x + 3/8
heyyyyyy this once again
The Y intercept is 0.
good luck :D
Can someone pls answer this for me Ill mark brainlist if its correct :(((
Step-by-step explanation:
sorry to break it to you but there is no question
i dont want the answer i just need help pls and thank you please view image
no matter how many times i try i cant seem to get the right answer
I can help! With the Greatest Common Factor you figure out the greatest number that can go into all numbers. The number here would be the 2. You then divide 2 by all the numbers in the problem.
You would end up getting x^2 + 6x + 9
I use to struggle with this too. Hope this helps! Have a great day!!
Solve the following expression and type your result in the empty box provided below as a decimal. 5 3/10 -9/10
Answer:
So the answer is that 5 3/10 as a decimal is 5.3. 9/10 as a decimal is expressed as 0.9.
Step-by-step explanation:
To convert any fraction to its decimal form, we just need to divide the numerator by the denominator.
In this case, we divide 9 by 10, 9 ÷ 10 = 0.9
You can also verify your answer using Cuemath's Fraction to Decimal Calculator.
Hope this helps!
(3 x 100) + (7 x 1) + (4 x 1/100) + (8 x 1/1,000) In standard form?
Answer:
300 + 7 + 0.04 + 0.008 = 307.048
Step-by-step explanation:
50 POINTS! Fully correct and explanatory answers only!
In the figure, ∠4 is an exterior angle to triangle ∠A∠U∠L .
(a) What is the angle measurement of Angle 3? Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4? Explain the angle relationship you used.
(c) What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar and different between the angle relationship between angles 1, 2, & 3 and that between 3 & 4?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.
ANSWER ALL 4 PARTS FULLY AND EXPLANITORY!
Hmmm...
(a)The angle measurement is
180-25-52=
180-77=
103 degreesWe calculated it this way because angle 3 was inside of a triangle, and we know that all the interior angles of a triangle would add up to 180. Two angles are already given as well, so we just need to subtract them to find out the angle of Angle 3
(b)Angle 4 is just
180 minus Angle 3
which is
180-103=
77I used supplementary angles
(meaning two angles add up to 180)
(c)The angle relationship between Angles 1,2,and2 is supplementary angles because they all add up to 180 degrees. The angle relationship for Angles 3 and 4 are the same because they also add up to 180. I noticed that they are both supplementary, but one set of angles(3 and 4, specifically) only require two angles to become supplementary while the other set needs three(it's a triangle).
(d)The combination of Angle 1 and 2 equals angle four. From question one, we derived that Angle 1 plus Angle 2 equals 77. From question two, we found out angle two equals 77. From part c, We procured that
Angle 1 + Angle 2 + Angle 3 = Angle 3 + Angle 4
Subtracting Angle 3 on both sides, we end up with:
Angle 1 + Angle 2=Angle 4-Hunter
Use a linear equation to solve the word problem.
Two truck rental companies have different rates. V-Haul has a base charge of $75.00 , plus $0.50 per mile. W-Haul has a base charge of $69.10, plus $0.55 per mile. For how many miles would these two companies charge the same amount?
If a driver drives miles___________, those two companies would charge the same amount of money.
The equations are
[tex]\\ \tt\hookrightarrow y=0.50x+75[/tex]
[tex]\\ \tt\hookrightarrow y=0.55x+69.10[/tex]
x is no of milesNow
[tex]\\ \tt\hookrightarrow 0.55x+69.10=0.50x+75[/tex]
[tex]\\ \tt\hookrightarrow 0.55x-0.50x=75-69.1[/tex]
[tex]\\ \tt\hookrightarrow 0.05x=5.9[/tex]
[tex]\\ \tt\hookrightarrow x=5.9/0.05[/tex]
[tex]\\ \tt\hookrightarrow x=118mi[/tex]
24/63 is equal to what
Answer:
0.38095238095238
Step-by-step explanation:
Therefore, this equation is true: 24/63 = 8/21 If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction.
what is the probability of flipping a coin 6 times and getting all heads
1/64 please mark brainiest
(A) The sum of a number and 12 is at most -8
(B) A number increased by -8 is greater than 12.
(C) -8 less than a number is no more than 12.
The expression -8 less than a number is no more than 12 will be given as x - 8 ≤ 12
How to interprete inequality statamentLet the unknown values be "x"
a) The sum of a number and 12 is expressed as x + 12
If the result is at most -8, the required inequality will be x + 12 ≤ 8
c) If a number is increased by -8, the result will be x - 8. the expression -8 is greater than 12 will be given as x - 8 > 12 greater than 12.
b) If a number is increased by -8, the result will be x - 8. The expression -8 less than a number is no more than 12 will be given as x - 8 ≤ 12
Learn more on inequality here: https://brainly.com/question/24372553
b) The temperature falls from 11 to -2 °C. How much did the temperature fall? c) The temperature is 6 °C and it falls by 8 °C What is the temperature now? d) The temperature is -3 °C. How much must it rise to reach 5 °C? e) The temperature was –5 °C. It falls by 6 °C. What is the temperature now?
Answer:
B: -13*
C: -2*
D: 8*
E: -11*
Step-by-step explanation:
math
Solve.
y = 6x − 9
y = x + 1
Answer:
(2, 3)
Step-by-step explanation:
y=y
6x-9=x+1
5x-9=1
5x=10
x=2
y=2+1
y=3
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, as shown in the graph.
Which equation most closely represents the line depicted in the graph?
A. f(x) = −10x + 4
B. f(x) = 15/2x - 20
C. f(x) = 10x − 4
D. f(x) = 2/15x - 20
Answer:
B. f(x) = 15/2x - 20
Step-by-step explanation:
Hi there!
All of the given functions are organized in slope-intercept form:
[tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept. The y-intercept is also the value of y where the line crosses the y-axis.
Notice how in the graph, the line crosses the y-axis at y = -20. This means that the y-intercept (b) is -20.
[tex]y=mx-20[/tex]
We know now that the answer is either B or D.
In the graph, the line crosses the point (4,10). Let's find f(4) of both the functions given in B and D and see which answer is equal to 10.
Function B:
[tex]f(x) = \displaystyle\frac{15}{2}x - 20\\\\f(4) = \displaystyle\frac{15}{2}(4) - 20\\\\f(4) = 30 - 20\\\\f(4) = 10[/tex]
Therefore, because f(4) is equal to 10 for function B, B is therefore the correct answer.
I hope this helps!
Express in partial fraction
[tex] \frac{ {4x}^{2 - } 47x + 141}{x {}^{2} + 13x + 40} [/tex]
Step-by-step explanation:
There is one possible way:
(4x² - 47x + 141)/(x² + 13x + 40) = (4x² + 4*13x + 4*40 - 47x - 52x - 160 + 141)/(x² + 13x + 40) =4 - (99x + 19)/(x² + 13x + 40)No further simplification
Answer:
basic polynomial division.put 4 in quotient,subtract with the dividend the multiplicative integer, then what in the remainder. stays a remainder.partial fraction is the sum of polynomial, decomposition, with a simple denominator.answer: [tex]4+\frac{-99x-19}{x^2+13x+40}[/tex]2,367 DIVIDED BY 2 WITH THE REMAINDER
Answer:
1,183.5
Step-by-step explanation:
When dividing 2,367 by 2, the quotient is 1,183 with a remainder of 1 by performing long division by starting with the leftmost digit of the dividend.
To divide a number by another number and find the quotient and remainder, follow these steps:
Step 1: Divide the first number (dividend) by the second number (divisor). In this case, divide 2,367 by 2.
Step 2: Perform long division by starting with the leftmost digit of the dividend. Divide the digit by the divisor and write the quotient above the division bar.
Step 3: Multiply the quotient by the divisor and subtract the result from the current partial dividend.
Step 4: Bring down the next digit of the dividend and continue the division process until all digits have been used.
Step 5: The final quotient is the whole number obtained from the division, and the remainder is the remaining digit.
In the case of 2,367 divided by 2, the long division process would yield a quotient of 1,183 and a remainder of 1.
Therefore, 2,367 divided by 2 gives a quotient of 1,183 with a remainder of 1.
Learn more about long division here:
https://brainly.com/question/14837394
#SPJ6
Abha has lovely black hair that has 36 inches long. She asks the hairdresser to
cut off one-sixth of the total length of her hair. How long will Abha’s hair
measure after hair cut?
30 inches long
Step-by-step explanation:
divide 36 by 1/6
this gives you six
subtract 6 from 36
there is 30 inches of hair left
HURRY! 50 POINTS! Which of the following transformations is shown?
A. Translation 5 units up and 4 units to the right
B. Translation 5 units up and 5 units to the right
C. Reflection across the y-axis and translation 4 units up.
D. Reflection across the x-axis and translation 4 units to the right.
Answer:
Its A.
Step-by-step explanation:
Question
Which number line represents the solution to the inequality 5 − 3x ≤ 11?
To become a member at an art museum costs $60. If
you are a member art lessons will cost $2 for each
class. If you are not a member lessons will cost $6
each. Which system of equations would be used to
solve for how many lessons it would take member and
nonmemeber to cost the same.
Answer:
10
Step-by-step explanation:
If your not a member it would cost 6 member lessons because 60 by 6=10
6=1 lesson
12=2 lessons
18=3 lessons
24= 4 lessons
30=5 lessons
36=6 lessons
42=7 lessons
48=8 lessons
54=9 lessons
60=10 lessons
If your are ready and member the 30 because 2$ if for 1 lesson so 30 lessons x 2$ each is 30.
Hope it helps have a great day
David drove 870 miles in 12 hours. At what rate did David drive per hour?
Answer:
72.5m/hr
Step-by-step explanation:
Divide 870 by 12 to represent how many miles David drove in 1 hour.
[tex]870 \div 12=72.5[/tex]
David drove 72.5 miles per hour.
HELPPPP PLS HURYYYYY !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-1/10
Step-by-step explanation:
welp it is going down to the right so you know it is a negative slope only leaving the last 2
100 is your y and 1000 is your x
100/1000
and make it negative
-1/10
Answer:
1/10
Step-by-step explanation:
For this problem, since we are finding slope, we can use rise/run.
the "rise", or height, of the mountain is 100 meters
the "run", or length, of the mountain is 1000 meters
rise/run
100/1000
simplify:
1/10
What are the values of x and y in the figures shown? show your work.
Answer:
unknown numbers
Step-by-step explanation:
letters are used for unknown numbers
Answer:
Step-by-step explanation:
2 [ x + ( x + 2y )] = 28
2x + 2y = 14
x + y = 7
x = 7 - y
x ∈ ( 0 , 7 )
y ∈ ( 0 , 7 )