Answers
Answer:
4
Step-by-step explanation:
[tex](7^5*7^n)^4 = (\frac{7^{16}}{7^n})^3[/tex]
[tex]7^{20}*7^{4n} = \frac{7^{48}}{7^{3n}}[/tex]
[tex]7^{7n} = \frac{7^{48}}{7^{20}}[/tex]
[tex]7^{7n} = 7^{28}\\[/tex]
[tex]n = 4[/tex]
Related Questions
Round 806,713 to the nearest thousand and 7,925,024 also 6,481,525
Answers
7,925,024 = 7,925,000
6,481,525 = 6,482,000
John's free throw shooting percentage is 87%. If John shoots 12 free throws in the course of a game, what is the probability he makes exactly 10?
Answers
Answer:
0.2771
Step-by-step explanation:
This is a binomial probability question. "Makes" is what some writers call a "success." In the binomial probability distribution, the probability of r successes in n trials is
[tex]\binom{n}{r}p^r(1-p)^{n-r}[/tex]
p is the probability of "success." [tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex]
In this problem, n = 12, r = 10, p = 0.87 (the 87%).
The probability of exactly 10 made shots out of 12 attempted is
[tex]\binom{12}{10}(0.87)^10(1-0.87)^2 =66(0.87^10)(0.13)^2 \approx 0.2771[/tex]
in △JKL, if m∠J = 90° then∠K and∠L are
A) Acute
B) Obtuse
C) Congruent
D) Vertical
Answers
Answer:
acute
Step-by-step explanation:
since a full triangle is 180, angles K and L must be 90 when put TOGETHER so each one would have to be less than 90 :)
Answer:
Acute
Step-by-step explanation:
Since a triangle adds up to 180 subtract 90. this leaves you with 90 and since there are two angles it has to be less than 90 which is an acute angle
Hope this helps!
What is the greatest possible quotient of any two distinct members of the set $\left\{\frac{2}{5}, \frac{1}{2},5,10\right\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set.
Answers
The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required is; 25.
What is the maximum possible quotient of any pair of numbers from the set?It follows from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.
On this note, since the quotient which is to be maximised is hypothetically; x / y;
To maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.
On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;
10 / (2 / 5)
= ( 10 × 5 ) / 2
= 25.
Ultimately, the greatest possible quotient as required is; 25.
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These two figures are similar. Find the length of side x.
Answers
the length of side x = 12.5.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, we have,
From the given figure, we get.
These two figures are similar.
so, we have,
8/x=y/5 ............(1)
10/15=4/z ......(2)
8/15=y/z .....(3)
Solving we get,
x=12.5
Hence, the length of side x = 12.5.
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Find the equation of a line that passes through the points (1,2) and (5,6). Leave your answer in the form y=mx+c
Answers
Answer:
y=x+1
Step-by-step explanation:
first find the slope using the two coordinates:
use the slope formula- m=y^2-y^1/x^2-x^1
6-2/5-1
=4/4
=1
y=mx+b
now plug in one of the coordinates, and the slope we just found into the slope intercept formula
2=1(1)+b
2=1+b
subtract 1 from both sides
1=b
1=b; m=1,
y=x+1
Which relationships describe the angle pair x° and 157º? Select each correct answer. Complementary angles vertical angles supplementary angles adjacent angles Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees
Answers
Angles x° and 157° are neighboring because they share a shared vertex and side, preventing them from overlapping, the sum of any two angles on a straight line equals 180°.
what is angle ?Two lines converge at a common point to form an angle. They are expressed by the sign ° and are measured in degrees. Acute, right, obtuse, and reflex angles are four crucial types. There are 360° in a circle. Two rays (half-lines) combined into an angle have a single terminal. The latter is known as the vertex of the angle, while the rays are known as its sides, occasionally as its legs, and occasionally as its arms. The vertex of an angle is the point at which all points meet .
given
If two angles' sums are same, they are said to be supplementary.
If two angles' sums are same, they are said to be complimentary.
Each set of opposite angles generated by crossing lines are referred to as vertical angles. The term "adjacent angles" refers to two angles that share a common vertex and side but do not overlap.
Angles x° and 157° are neighboring because they share a shared vertex and side, preventing them from overlapping, and they are supplementary angles because the sum of any two angles on a straight line equals 180°.
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Solve the system by substitution.
y = 3x – 2
y = 4x
Answers
Answer:
x = -2
y = -8
Step-by-step explanation:
y = 3x – 2
y = 4x
Substituting the second equation for y into the first
4x = 3x - 2
Subtract 3x from both sides
x = -2
plug in x = -2 into the second equation
y = 4(-2)
y = -8
Please help with question 7! BRAINLIEST to correct answer!
Answers
Answer:
x = 228
Step-by-step explanation:
pretty simple
Answer:
i'm pretty sure its C-228
Can u please help............
Answers
Answer:
PF = 9
Step-by-step explanation:
the incentre of a triangle is equally distant from the triangle's 3 sides, that is
PD = PE = PF
using PD = PE to solve for x
5x - 6 = 3x ( subtract 3x from both sides )
2x - 6 = 0 ( add 6 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
then
PE = 3x = 3 × 3 = 9
PF = PE = 9
Dulce the dog loves to go on walks.
Each morning she walks for 45 minutes.
She also goes for a 20 minute walk at
lunch, and an evening stroll for 1 hour
and 30 minutes. How long does she
walk each day?
HURRY!!
Answers
Find the radius of a circle with an area of 167 π square
Answers
Answer:
r≈7.29
Step-by-step explanation:
Using the formula
A=πr^2
Solving for r
r=√A /π=√167/ π≈7.29094
25PTS don’t explain
Answers
Answer:
y = 2x+ 3
Step-by-step explanation:
show all your working please
Answers
Answer:
45 cm²
Step-by-step explanation:
area = ½×11×13×sin 39°
= 71.5 × 0.6294
= 45 cm²
I f a salesman get salary 1000 per month for selling 100 onion daily .. then what is the price of 1 onion
Answers
Answer:
3$
Step-by-step explanation:
∴In 1 day, he sells 100 onions
∴In 30 days, he sells (100×30) onions
=3000 onions
Again,
∴Selling 3000 onions, he gets 1000$
∴Selling 1 onion, he gets (3000÷1000)$
=3$
Hope this helps<3
and pls mark me as brainliest ❤️
What does x = ? Please help meee
Answers
Answer:
x= 95 duhhhhhhh lol jk but its 95
Step-by-step explanation:
Answer:
x = 95° by the Vertical Angles are congruent theorem
Hope this helps!
Eric added up on a number line to find 4 over 5 minus 5 over 10
Answers
Answer: 4/5 minus 5/10 can be simplified as:
(4/5) - (5/10)
It can also be re-written as
(4/5) - (1/2)
To subtract these fractions, we need a common denominator, which is 10 in this case.
So it becomes
(4/5)(2/2) - (1/2)(5/5) = 8/10 - 5/10 = 3/10
So the result of 4/5 minus 5/10 is 3/10 on a number line.
Step-by-step explanation:
How to list the sides of a triangle in order from shortest to longest?
Answers
To list the sides of a triangle in order from shortest to longest, you can follow these steps - Measure the length of each side of the triangle using a ruler or measuring tape. Then, write down the lengths of each side in a list. Sort the list in ascending order. The shortest side will be at the top of the list, and the longest side will be at the bottom.
A triangle is a polygon with three sides. By the property of a triangle which is the sum of any two sides of a triangle is greater than the third side. This property is known as the "Triangle Inequality Theorem".
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DONT SKIP URGENT , WILL GIVE BRAINLIEST
Question 2 of 5
What is the distance between points Cand D?
5
C(2, 1)
D (4.1)
-1
4 5
2
-
A. 5 units
B. 6 units
O C. 2 units
O D. 4 units
SUBMIT
Answers
Answer:
The distance between C and D is 6 units
Answer:
6
Step-by-step explanation:
Since this is a straight line, you literally count the boxes in between or you could just add up the x values but make the -2 positive because we’re counting distance, not something else.
Which expression is equivalent to (3/4n + 8n + 1/4n - 12)
Answers
Answer:
2n - 8 is your answer
Step-by-step explanation:
If a = b, then ac = bc. This is called the
Answers
Answer:
Transitive property of equality
Step-by-step explanation:
EMERGENCY i need thissss helpp. tysmm <33
Answers
a. 7x4x6 = 168
b. 7x4 = 28
c. 28 x 6 = 168
Step-by-step explanation:
a. You find the volume of a prism by multiplying the base and its height. So, you would multiply 7x4 by 6, which would give you 168 cubic units.
b. Find the base by multiplying the length by the width. Therefore, you multiply 7 x 4, which gives you 28 square units. Now, multiply the base (28) by the height (6) to get the volume (168 cubic units).
And correct the errors in the following mathematical statement
Answers
Which statement.........
Help a brother out with this one please.
Answers
Answer:
Volume:3000 Surface Area:1300
Step-by-step explanation:
To find the volume of a rectangular prism you times the length times the width and times the height which will give 3000. For the surface area it is 2(w(l)+h(l)+h(w)) which will equal to 1300. The length is 15, the width is 20, and the height is 10. Hope this helps!
The digits of a two-digit number differ by 3. If digits are interchanged
and the resulting number is added to the original number, we get 121.
Find the original number
Answers
Answer:
47
Step-by-step explanation:
4 and 7 have a difference of 3. And if the digits are interchanged, the number is 74
47 + 74 = 121 so 47 is the original number.
The number $m$ is a three-digit positive integer and is the product of the three distinct prime factors $x$, $y$ and $10x y$, where $x$ and $y$ are each less than 10. What is the largest possible value of $m$
Answers
largest possible value of $m$ is x=5, y =3, 10*5+3=53: 3 x 5 x 53 =795
What is prime factors ?A prime factor is a natural number, other than 1, whose only factors are 1 and itself. The first few prime numbers are actually 2, 3, 5, 7, 11, and so on.The simplest algorithm to find the prime factors of a number is to keep on dividing the original number by prime factors until we get the remainder equal to 1. For example, prime factorizing the number 30 we get, 30/2 = 15, 15/3 = 5, 5/5 = 1. Since we received the remainder, it cannot be further factorizedPrime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime numbers. A prime number is a number which has only two factors, i.e. 1 and the number itself.For example, 2 is a prime number which has two factors, 2 × 1. Whereas a composite number has more than two factors present in it. For example, 4 has three factors such as 1 × 2 ×To learn more about prime factors refers to:
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HELP!!! Find the value of..
Answers
Answer:
The answer to your question is C, 15
Step-by-step explanation:
Answer is 15, C
How many dollars will Ms. Davis have saved after 30 weeks?
Ms. Davis has $54. 50 saved
• She will save $33. 25 each week for the next 30 weeks
• She will not spend any of the money
Enter your response here:
Answers
$1052 is the total saving og Ms. Davis after 30 weeks from the given point .
Given that:
Inital saving of Ms. Davis = $54.50
Ms. Davis has already saved $54.50 and plans to save an additional $33.25 each week for the next 30 weeks. This means that she will be adding a total of $33.25 x 30 = $997.50 to her savings over the next 30 weeks.
If she does not spend any of the money she has saved, her total savings will be :
sum of Initial saving and saving after 30 weeks
$54.50 + $997.50 = $1,052.00.
so the total saving is $1052.
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Marty invested $6,000 at 3% annual simple interest. When he withdrew the balance, he had made $720 in interest. How many years did he have the money invested?
F. 2
G. 10
H. 3
J. 4
Answers
Answer:
J
Step-by-step explanation:
Interest per year-6000*0.03, 180
720/180=4
A bookstore owner has 15 different books to arrange on the shelves in a display case. Each shelf can display 3 books.In how many different ways can the owner arrange 3 books on the top shelf of the display case
Answers
There are 15 different books and 3 each can be arranged on a shelf i.e., there are 15/3 i.e., 5 shelves to arrange the book in the the display case.
How many different ways can you arrange3 books on a shelf?different bundles of novels, and we have to put this bundle and other 3 books onto the shelf. So the total number of ways is 3! × (3 + 1)! = 144.How many ways can you arrange 3 books on a shelf from a group of 7?= 5040 arrangements. Three books that we want together have 3!Therefore, the number of ways in which the 3 letters can be arranged, taken all a time, is 3! = 3*2*1 = 6 ways.A trilogy is a set of three distinct works that are connected and can be seen either as a single work or as three individual works. They are commonly found in literature, film, and video games.When using three shelves, place the middle shelf higher or lower than the one on either side. Five shelves can be staggered with two or three higher than the others, alternating every other shelf for a horizontal groupingTo learn more about arrange3 books on a shelf refers to:
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