Answers
Answer:
n = 6
Step-by-step explanation:
[tex] \frac{ {5}^{n} \times {5}^{3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: \frac{ {5}^{n + 3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: {5}^{n + 3 - 7} = {5}^{2} \\ \\ \implies \: {5}^{n - 4} = {5}^{2} \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \frac{5 {}^{n} \times {5}^{3} }{5 {}^{7} } = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{5 {}^{n + 3} {}^{} }{5 {}^{7} } = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:5 {}^{n + 3 - 7} = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:5 {}^{n - 4} = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:{}{n - 4} = {2} [/tex]
[tex]\qquad \sf \dashrightarrow \:n = 2 + 4[/tex]
[tex]\qquad \sf \dashrightarrow \:n = 6[/tex]
Hence, value of n is 6
Related Questions
Brainliest for the correct answer (If you say anything completely wrong like 98 you're getting reported): What is the area of the figure?
Answers
Answer: 578
Step-by-step explanation:
12 x 7 = 84
13 + 8 + 4 + 10 = 25
25 x 14 = 350
4 x 10 = 40
8 x 13 = 104
84 + 350 + 40 + 104 = 578
Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.
On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 2, negative 1), and goes through (negative 1, 0). A vertical dashed line at (negative 2, 0) is parallel to the y-axis.
Which best describes the error in the graph?
The axis of symmetry should be x = –1.
The axis of symmetry should be x = 2.
The vertex should be a maximum.
The vertex should be (–2, 1).
Answers
Answer:
The axis of symmetry should be x = 2.
Step-by-step explanation:
I got it right on Edge.
Answer:
The axis of symmetry should be x = 2.
Step-by-step explanation it took the test
Buddy ran the same distance each day for 5 days.
Write an expression to model this situation. If
you use a variable, explain what it represents.
b. Evaluate your expression if Buddy ran 10 miles
each day.
Answers
Answer:
A.
One expression you can do is the total amount of distance Buddy runs in a 5 day period, as a function of the amount of miles he runs in a day.
d(x) = y = 5x
d(x) being total amount of miles buddy runs in 5 days. x being the amount of miles he runs in a day.
B.
Now if he ran 10 miles a day, just substitute 10 for x.
d(10) = y = 5(10) = 50
A sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount?
$2
$4
$30
$36
Answers
310, 304, 298, ...
Find the 47th term.
Answers
Answer:
The answer is 34
Step-by-step explanation:
Given;a₁ = 310a₂ = 304a₃ = 298n = 47To Find;a₄₇ = ?Formula;aₙ = a + (n – 1) × dNow,
Common Difference (d)
d = a₂ – a₁ = 304 – 310 = -6
d = a₃ – a₂ = 298 – 304 = -6
Here, common difference is same everywhere
So,
aₙ = a + (n – 1) × d
a₄₇ = 310 + (47 – 1) × (-6)
a₄₇ = 310 + 46 × (-6)
a₄₇ = 310 – 276
a₄₇ = 34
Thus, The 47th term of this sequence is 34.
Express the following ratio: 18 inches to 2 feet in its simplest form. Hint: 1 feet = 12 inches
Answers
Answer:
3:4
Step-by-step explanation:
18inches : 2feet
18 inches: 2x12 =24 inches
18:24 - 3:4(divide by 6)
BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?
Answers
Answer:
A = 253 sq ft
Step-by-step explanation:
see image. Section off the shape into rectangles. Sometimes you have to add to find the lengths of the sides. Sometimes you have to subtract. Area is length×width. see image.
HELP ASAP I WILL GIVE YOU BRAINLEAST
WHAT IS THE EQUATION OF THE GRAPH?
Answers
Problem 1 (on the left)
It appears we have an exponential function curve through the points (0,4) and (1,7)
The general exponential function is of the form
y = a*b^x
The value of 'a' is the y intercept or initial value. So a = 4
Plug in (x,y) = (1,7) to help solve for b
y = a*b^x
y = 4*b^x
7 = 4*b^1
7 = 4b
b = 7/4 = 1.75
Therefore, the function is y = 4*(1.75)^x
Plug in x = 0 and you should get y = 4. Plug in x = 1 and you should get y = 7These two facts help confirm we have the correct exponential equation.
Answer: y = 4*(1.75)^x===========================================================
Problem 2 (on the right)
The steps will follow the same idea as the previous question.
The exponential curve goes through (-1, 120) and (0,40)
We have a = 40 this time due to the y intercept (0,40)
Plug in the coordinates of the other point to find b
y = a*b^x
y = 40*b^x
120 = 40*b^(-1)
120 = 40/b
120b = 40
b = 40/120
b = 1/3
Answer: y = 40*(1/3)^x39y³(50y² - 98) ÷26y²5y + 7)
Answers
Answer:
3y5 • (5y + 7)2 • (5y - 7) then solve that which is (3•2y5) • (5y + 7) • (5y - 7) and keep going { 3x−2y=5 & 2x−5y=7
SOLVE FOR X, Y
x=1
y=−1
I hope this helps a little
which of the follwing is true?
Answers
Answer:
The correct one is B)
Step-by-step explanation:
Dividing with the same base subtracts the power
Please help asap!!! I will give brainlist
Answers
Answer:
I believe the answer is C.
[tex] \sqrt{35} [/tex]
4. A line on a graph is represented with the equation y = = -3x-9.
What is the equation for the image of this line after a reflection over the mirror line y = x?
Oy=3x– 9
O y=-1/3x-3
Oy=-1/3x+3
O y= 3x+9
Answers
What is the amount paid for an $150 pair of shoes after a discount of 30% is applied?
Answers
Answer:
105
Step-by-step explanation:
150-30%= 105
Have a wonderful day!
Answer:
The total is $105
Step-by-step explanation:
To get a percentage of a number first convert the percentage to a regular number with a decimal
30.0% would be 0.3 because you move the decimal two spots to the left
you then multiple your new number 0.3 with the original price to get 45
because it is a discount it means we will reduce the price or subtract from it
150 - 45 = 105
I hope this helps
What is the approximate measure of angle B?
Answers
Answer: D
Step-by-step explanation:
a man fences a 5m by 6m rectangular plot to keep in his chickens . the fencing costs $119 per meter. how much does it cost to fence the plot
Answers
Answer: 3570$
Step-by-step explanation:
5 x 6 = 30
30 x 119 = 3570
Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Answers
Answer:
81
Step-by-step explanation:
Knowing that;
∠ EHD and ∠FHC are vertical angles.
since, ∠FHC = 81 Thus, ∠EHD = 81
Look at picture below for more information;
~Learn with Lenvy~
Answer:
81
Step-by-step explanation:
Given;
If m ∠FHC = 81 °, then what is m ∠ EHD?
Solve;
∠ EHD and ∠FHC are vertical angles.
Vertical angles ⇒ a pair of opposite angles formed by intersecting lines.
Since, ∠FHC = 81 hence, ∠EHD also = 81
[RevyBreeze]
Use the calculator to find the product. (1. 466 × 10–8)(5. 02 × 105) What is the coefficient of the product? What is the exponent of the power in the product?.
Answers
The product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].
The given expression is:
[tex](1.466*10^{-8} )(5.02*10^5)[/tex]
We can rewrite the given expression as
[tex](1.466*5.02)(10^{-8} *10^5)[/tex]
What is the exponent addition rule?If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.
[tex]a^m*a^n = a^{m+n}[/tex]
[tex]1.466*5.02=7.35932[/tex]
[tex]10^{-8} *10^5 = 10^{-3}[/tex]....from exponent addition rule
So, [tex](1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}[/tex]
Therefore, the product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].
To get more about exponents visit:
https://brainly.com/question/819893
Answer:
7.3593 and -3
Step-by-step explanation:
Got it right on the assignment.
Find the mean of the data.
Pls help ASAPPPP
Answers
Answer:
the answer is 56
Step-by-step explanation:
first off you need to add every number up which adds to be 336,
then you divide by the number of pieces in the data which in this case is 6,
366 divided by 6 is 56
I HOPE THIS HELPED!
Find the value of
(-3)
Show work
Must show work!!
Answers
Answer:
16/81
Step-by-step explanation:
(-2/3)^4
expand...
-2/3*-2/3*-2/3*-2/3
multiply
numerator: -2*-2*-2*-2=16
denominator: 3*3*3*3=81
Thus the fraction is 16/81
Hope this helps!!!
Jonas is using a coordinate plane to plan an archaeological dig. He outlines a rectangle with the vertices at (5, 2), (5, 9), (10, 9), and (10, 2). Then he outlines a second rectangle by reflecting the first area across the x-axis and then across the y-axis. Which is a vertex of the second outlined rectangle after completing both reflections?
Answers
Reflecting the archaeological dig implies that the dig is flipped
The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)
How to determine the vertices of the rectangleThe coordinates of the rectangle are given as:
(5,2) , (5,9) , (10,9) , (10,2)
When reflected across the x and the y axes, the transformation rule is:
[tex](x,y) \to (-x,-y)[/tex]
So, the new coordinates are:
(-5,-2),(-5,-9),(-10,-9),(-10,-2)
This means that:
The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)
Read more about reflection at:
https://brainly.com/question/4289712
Help me on this question please!
Answers
Answer:
16
Step-by-step explanation:
You're doing a subtraction problem between (x+5) and (2x+3)
(x+5) - (2x+3) =
**You need to solve for x first then plug it in to find the answer.***
(I had to break the parentheses because that is the only way to solve)
-x +8
x= -8
-8 + 5 - (-16+3)
-3 + 16 + 3
13 + 3 = 16
Answer:
-x+2
Step-by-step explanation:
(x+5)-(2x+3)
distribute
x+5-2x-3
combine like terms
x-2x+5-3
-x+2
Does anyone know how much does a Toyota AE86 car gets for monthly car payments??
not math-related sorry
Answers
Answer:
$464
Step-by-step explanation:
HELP HELP HELP*. Hei has $1,700 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional deposits of $1,700. After 5 years, what was her account balance if she did not make any withdrawals? Round each year's interest to the nearest cent if necessary.
what was account balance after 5 years
Answers
[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}\\ ~~~~~~~~~~~~ \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)[/tex]
[tex]\begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill &1700\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=1700\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1\cdot 5}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=1700\left( \cfrac{1.04^5~~ - ~~1}{0.04} \right)(1.04)\implies A\approx 9576.06[/tex]
Write an expression for the area of square 4 by combining the areas of the four triangles and the two squares.
Answers
The area of Square 4 is a2+2ab+b2
The area of Square 5 is 2ab+c2
Setting them equal to one another (a2+2ab+b2=2ab+c2) and simplifying yields that a2+b2=c2 (note that 2ab is what they have in common), which is Pythagoras' theorem.
Write the vertex form of y = -x^2 + 6x + 6.
Answers
Answer:
y = - (x - 3)² + 15
Step-by-step explanation:
using the method of completing the square
y = x² + 6x + 6 ← factor out - 1 from the first 2 terms
y = - (x² - 6x) + 6
to complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = - (x² + 2(- 3)x + 9 - 9) + 6
= - (x - 3)² + 9 + 6
= - (x - 3)² + 15
PLEASE HELP ILL MARK BRAINLIEST + WORTH 45 POINTS!!
Determine the area of the circle Use 3.14 for 16. Round to the nearest hundredth when necessary
Answers
Answer:
~21.23
Step-by-step explanation:
First, we divide 5.2 by 2 to get the radius. And then, we do 2.6*2.6*3.14 and get 21.2264. And since you ask to round to the nearest hundredth, we get 21.23.
Hope this helps!
Give me brainliest too ;)
Answer: 21.23
Step-by-step explanation:
The formula for finding the area of a circle is pi times radius squared.
Please assist. No links or your account is getting banned
Answers
9⁻³ / 9¹² = 9⁻³⁻¹² = 9⁻¹⁵
Answer:
[tex]9^-^1^5[/tex]
Step-by-step explanation:
[tex]\frac{9^{-3}}{9^{12}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]=9^{-3-12}[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:-3-12=-15[/tex]
[tex]=9^{-15}[/tex]
Answer [tex]=9^{-15}[/tex]
~Learn with Lenvy~
The girls bought 20 blue hair bows, lost 4 bows, and gave 3 away. What percent of the bows do the girls still have?
Answers
Answer:
65%
Step-by-step explanation:
4 + 3 = 7
7/20 = 35/100
100 - 35 = 65
I may be wrong but yknow
Find X using the diagram.
Answers
Answer:
58°
Step-by-step explanation:
Refer to the letters in my diagram.
Angle AOB measures 64°. Angle ACB, since itis a circle angle o nthe same chord AB, measure half of it, or 32°.
Furthermore, angle ABC is a right angle since triangle ABC has side AC on a diameter and B on the circle.
Now, since the sum of all internal angles in a triangle is 180°, we have , [tex]x+32\°+90\°=180\°\rightarrow x = 58°[/tex]
0.09+
100
27
=
100
+
100
27
Answers
Answer:
x = 9#
Step-by-step explanation:
need help with answer just ask me i got yall