Answer:
m = 3
Step-by-step explanation:
Given
[tex]5^{4m}[/tex] = [tex]5^{12}[/tex]
Since the bases on both sides are equal ( both 5) the equate the exponents.
4m = 12 ( divide both sides by 4 )
m = 3
I’ll give you 30 points if you help
Answer:
2, -2
Step-by-step explanation:
f(x) = 2x + 1
g(x) = x - 3
To find g(f(x)), you need to put f(x) into g(x).
g(f(x)) = (2x + 1) - 3
g(f(x)) = 2x + 1 - 3
g(f(x)) = 2x - 2
Your answer will be 2 and -2.
Suppose a population consists of 50,000 people. Which of the following
numbers of members of the population being surveyed could result in a
sample statistic but not a parameter?
A. 500
B. Both 500 and 50,000
C. Neither 500 nor 50,000
D. 50,000
SUB
Answer:
500
Step-by-step explanation:
Parameter= whole population
Sample statistic= outcome of part of population surveyed
Complete the statements about the associative property and equivalent expressions.
The associative property allows us to change the grouping of the factors that are multiplied together to create ________
1. equibalent expression
2. operations
3. parentheses
4. variables
When changing the grouping, the order of the factors stays the same; only the change position.
The expression______ is an equivalent expression to w(xy)z.
1. w+x+y+z
2. w+xy+z
3. (wx)yz
4. wx + yz
The expression ________ is also an equivalent expression to w(xy)z.
1. 2wx(2yz)
2. wx(yz)
3. wx + yz
4. z+y+x+w
Answer:
1,3,3,2
Step-by-step explanation:
hope this helps :)
The required solutions are,
1. operations.
2. w(xy)z.
3. w(xy)z
The associative property is a mathematical principle that states that the grouping of operations or factors does not affect the final result of a calculation, as long as the order of the terms remains the same.
Here,
The associative property allows us to change the grouping of the factors that are multiplied together to create 2. operations.
When changing the grouping, the order of the factors stays the same; only the position changes.
The expression 3. (wx)yz is an equivalent expression to w(xy)z.
The expression 2. wx(yz) is also an equivalent expression to w(xy)z.
Learn more about associatve proerty here:
https://brainly.com/question/30111262
#SPJ3
Consider the difference of cubes identity: a3 − b3 = (a − b)(a2 + ab + b2). For the polynomial x3 − 64, a = and b =
Answer:
a= x, b= 4
Step-by-step explanation:
a³ − b³ = (a − b)(a² + ab + b²)x³ - 64Comparing polynomials:
a³= x³ ⇒ a = xb³= 64 ⇒ b³ = 4³ ⇒ b= 4Applying same formula:
x³ - 64 = (x- 4)(x² + 4x + 16)Solve the equation
(If possible please show work)
Answer:
[tex]n=-4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]2+4(2-3n)=58[/tex]
First, distribute the second term:
[tex]2+4(2)-4(3n)=58\\2+8-12n=58[/tex]
Add the left side:
[tex]10-12n=58[/tex]
Subtract both sides by 10. The left side cancels:
[tex](10-12n)-10=(58)-10\\-12n=48[/tex]
Divide both sides by -12. The left side cancels:
[tex](-12n)/-12=(48)/-12\\n=-4[/tex]
Therefore, the value of n is -4.
⇒2 + 4(2 - 3n) = 58
⇒4(2 - 3n) = 58 - 2
⇒2*4 - 3n*4 = 56
⇒8 - 12n = 56
⇒-12n = 56 - 8
⇒-12n = 48
⇒-n = 48/12
⇒-n = 4
⇒n = - 4
Hence, value of n is - 4
Given x=-3, y=6, and z=-4 xz/-2y
Answer:
-1
Step-by-step explanation:
sub in the values of x, y and z into the equation
you get:
(-3)(-4)/(-2)(6)
= 12/-12
= -1
Answer: -1
Step-by-step explanation:
xz/-2y, given x=-3, y=6, and z=-4
------------
xz/-2y
=(-3)(-4)/-2(6) ⇔ substitute x y and z value
=12/-12 ⇔ calculate it
=-1 ⇔ simplify fraction
Hope this helps!! :)
Please let me know if you have any question
PLEASE HELP!!!! Rearrange the equation so n is the independent variable. m + 1 = -2(n+6)
Answer:
m+13/-2 = n (m plus 13, divided by negative 2 equals n)
Step-by-step explanation:
m+1 = -2(n+6)
distribute -2
m+1 = -2n-12
add 12 to both sides
m+1 = -2n-12
+12 +12
with that you get
m+13 = -2n
next you divide -2 from both sides
m+13
-------- = n
-2
A number is called perfect if it is the sum of its factors
other than itself. For example, 28 is a perfect number,
since 14 + 7 + 4 + 2 + 1 = 28.
I
The second, third, fourth, and fifth perfect numbers are 28;
496; 8,128; and 33,550,336.
What is the first perfect number?
Answer: 6
Step-by-step explanation:
The factors of 6 are 1, 2, and 3.
1 + 2 + 3 = 6
A triangle has side lengths of (8.1t-6.1)(8.1t−6.1) centimeters, (8.1t+7.1)(8.1t+7.1) centimeters, and (3.4u+1.9)(3.4u+1.9) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
(16.2t+3.4u+2.9)cm
Step-by-step explanation:
A triangle is a plane shape that has three sides. The perimeter of a triangle is gotten by taking the sum of all the lengths of the three sides. Let the length of the three sides by s1, s2 and s3, the perimeter of the triangle will be expressed as;
P = s1+s2+s3
Given the side lengths
s1 = (8.1t-6.1)cm
s2 = (8.1t+7.1)cm
s3 = (3.4u+1.9)cm
Perimeter of the triangle = 8.1t-6.1+8.1t+7.1+3.4u+1.9
collect the like terms
P = 8.1t+8.1t+3.4u-6.1+7.1+1.9
P = 16.2t+3.4u+2.9
Hence the expression that represents the perimeter, in centimeters, of the triangle is (16.2t+3.4u+2.9)cm
Steve took his remote controlled submarine to the pond. His submarine sank 19 out of 25 boats. What percentage of the boats were still afloat?
Answer:
24%
Step-by-step explanation:
1) 25-19=6
2) 6/25 x 100 = 24%
Jana ran every day for 8 days.
•She ran a total of 50 miles
•She ran the same number of miles each day.
A. 4/25
B. 25/4
C. 8/25
D. 25/8
Answer:
B. 25/4
Step-by-step explanation:
to calculate how many miles Jana ran everyday, divide the total distance by number of days
50/8
simplify, 25/4
the answer is B
What is the area of a rectangle with 5cm height and 77cm length?
Answer:
area = 385 cm²
Step-by-step explanation:
area = 5cm * 77cm
area = 385 cm²
how do you solve
2/5x+10=0
Answer:
x = -25
Step-by-step explanation:
Step 1: Write out equation
2/5x + 10 = 0
Step 2: Subtract 10 on both sides
2/5x + 10 - 10 = 0 - 10
2/5x = -10
Step 3: Multiply both sides by 5/2
5/2(2/5x) = -10(5/2)
x = -50/2
x = -25
Han wants to convert his Canadian dollars to euros for his trip to France. He has 427 Canadian dollars. the current exchange rate is 1.28 Canadian dollars per euro. how many euros will he have.
Answer:
He will have 334 Euros
Step-by-step explanation:
Hello.
Here is a currency conversion problem.
The man in this question seeks to convert his Canadian dollars to Euro as he is in France for a trip.
The exchange rate is given as;
1.28 canadian dollar = 1 euro
He has 427 CAD , and we want to know the amount in euro.
let the equivalent amount in Euro be x
Thus;
if
1.28 CAD = 1 EUR
427 CAD = X EUR
By cross multiplying, we have
1.28 * x = 427 * 1
x = 427/1.28
x = 333.59 Euros which is approximately 334 Euros
Enter the equation of the circle in standard form with center and radius given.\\\\\\\\\\\Center (8,0), radius = sqrt 3///////////
Answer:
(x - 8)^2 + y^2 = 3.
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
Here h = 8, k = 0 and r^2 = (√3)^2 = 3
The answer is (x - 8)^2 + (y - 0)^2 = 3
or (x - 8)^2 + y^2 = 3.
what is 4n- 3n someone plase help :(
Answer:
n
Step-by-step explanation:
4n-3n=1n
1n=n
Which of the following illustrates the truth value of the given conditional statement?
If dogs have five legs, then cats have three tails.
A.) F F → T
B.) T T → T
C.) T F → F
D.) F T → T
Correct Answer: A) F F → T
I did the assignment and got it right, trust me.
represent 8/5 on number line
Answer:
Step-by-step explanation:
--------|--------|---------|------||----|--------|---------|--------------------->
-1 0 1 5/8 2 3 4 ∞
Are the fractions 1/4 and 3/12 common denominators?
Answer:
No
Step-by-step explanation:
Common denominators are the same number. Since 1/4 has a denominator of 4 and 3/12 has a denominator of 12 they are not the same, and therefore are not common denominators.
Answer:
no
Step-by-step explanation:
Find the inverse of the relation. Use proper notation. {(8,−1),(−8,−1),(−2,−8),(2,8)} please help!!
Answer: The inverse relation is { (-1, -8), (-1, -8), (-8, -2), (8, 2) }
The inverse is effectively the opposite of the original relation. It undoes what the original relation does. So we'll swap the x and y values for each given point in the form (x,y). Something like (8,-1) becomes (-1,8). The other points follow the same pattern as well.
Granny has taken up deep-sea fishing! Last week, she caught a fish so big that she had to cut it into 3 pieces (head, body and tail) in order to weigh it. The tail weighed 9kg and the head weighed the same as the tail plus one third of the body. The body weighed as much as the head and tail together. How much did the whole fish weigh?
Answer:
54kg
Step-by-step explanation:
Body weight = B
Tail weight = T
Head weight = H
Total weight = F
Use equation = B + T + H = F
We are told that T = 9kg, H = T + (1/3) x B, B = H + T
We have 3 equations and 3 unknowns, solve the system of equations to find W.
B = H + 9
H = 9 + 1/3 x (H+9)=9+H/3+3 --> 2/3 x H = 12 --> H = 18
B = 18 + 9 = 27
F = 18 + 27 + 9 = 54kg
Write a linear (y=mx+b), quadratic (y=ax2), or exponential (y=a(b)x) function that models the data. Y=?
Answer:
y = 8x - 6
Step-by-step explanation:
find the common difference (+ or -) / ratio (x or ÷)
34 - 26 = 8
42 - 34 = 8
50 - 42 = 8
58 - 50 = 8
the common difference is 8
y = 8x + b
plug in an (x, y) value to find b
(7, 500
50 = 8(7) + b
50 = 56 + b
b = -6
y = 8x - 6
A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the function H(t)=−4.9t2+25t+2. What is the height of the ball at each second from 0 to 5?
Answer:
height = 2m at t = 0s
height = 22.1m at t = 1s
height = 32.4m at t = 2s
height = 32.9m at t = 3s
height = 23.6m at t = 4s
height = 4.5m at t = 5s
Step-by-step explanation:
Given equation:
H(t) = -4.9t² + 25t + 2 ----------------(i)
The height of the ball is a function of time. Therefore;
(i) At the 0th second. i.e t = 0, we get the height by substituting the value of t = 0 into equation (i). i.e
H(0) = -4.9(0)² + 25(0) + 2
H(0) = 2
∴ At t = 0, the height is 2 meters. This is also obvious in the first statement of the question.
(ii) 1st second. i.e t = 1, we get the height by substituting the value of t = 1 into equation (i). i.e
H(1) = -4.9(1)² + 25(1) + 2
H(1) = 22.1
∴ At t = 1, the height is 22.1 meters.
(iii) 2nd second. i.e t = 2, we get the height by substituting the value of t = 2 into equation (i). i.e
H(2) = -4.9(2)² + 25(2) + 2
H(2) = 32.4
∴ At t = 2, the height is 32.4 meters.
(iv) 3rd second. i.e t = 3, we get the height by substituting the value of t = 3 into equation (i). i.e
H(3) = -4.9(3)² + 25(3) + 2
H(3) = 32.9
∴ At t = 3, the height is 32.9 meters.
(v) 4th second. i.e t = 4, we get the height by substituting the value of t = 4 into equation (i). i.e
H(4) = -4.9(4)² + 25(4) + 2
H(4) = 23.6
∴ At t = 4, the height is 23.6 meters.
(vi) 5th second. i.e t = 5, we get the height by substituting the value of t = 5 into equation (i). i.e
H(5) = -4.9(5)² + 25(5) + 2
H(5) = 4.5
∴ At t = 5, the height is 4.5 meters.
Answer:
the answer is (0,2) ball thrown from an initial height of two feet Jeremys change jar that started with a 2$ deposit
Step-by-step explanation:
A construction crew is lengthening a road. Let L be the total length of the road (in miles). Let D be the number of days the crew has worked. Suppose that L=3D+200 gives L as a function of D. The crew can work for at most 90 days. Identify the correct description of the values in both the domain and range of the function. Then, for each, find the most appropriate set of values. PLEASE PLEASE PLEASE HELP!!! I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation A construction crew is lengthening a road. Let L be the total length of the road (in miles). Let D be the number of days the crew has worked. Suppose that =L+4D200 gives L as a function of D . The crew can work for at most 70 days. =L+4D200 is not clear, not an equation.on:
How would you solve this?
Answer:
The area of the black square is equal to the sum of the areas of the gray squares.
Answer:
The area of the black square is equal to the sum of the areas of the gray squares.
If n and t are positive integers, what is the greatest prime factor of the product nt ? (1) The greatest common factor of n and t is 5. (2) The least common multiple of n and t is 105.
Answer:
Greatest prime factor of [tex]nt[/tex] is 7.
Step-by-step explanation:
Given that
Two positive integers are [tex]n[/tex] and [tex]t[/tex].
(1) Greatest Common Factor or HCF of [tex]n[/tex] and [tex]t[/tex] is 5.
(2) Least Common Multiple or LCM of [tex]n[/tex] and [tex]t[/tex] is 105.
To find:
The greatest prime factor of the product [tex]nt[/tex] = ?
Solution:
First of all, let us learn about a property of HCF and LCM of two numbers.
The product of two numbers [tex]p[/tex] and [tex]q[/tex] is equal to the product of their HCF and LCM.
[tex]p \times q =LCM\times HCF[/tex]
Using this property for the given numbers:
[tex]n\times t =5\times 105\\OR\\nt =5\times105[/tex]
Now, let us make prime factors of [tex]5 \times 105[/tex] to find the greatest of the prime factors.
[tex]5\times 105 = 5\times 5 \times 21 =5\times 5 \times 3 \times \bold{7}[/tex]
So, the prime factors of [tex]5 \times 105[/tex] are 5, 5, 3 and 7.
Greatest prime factor of [tex]nt[/tex] is 7.
The expression s² is used to calculate the area of a square, where s is the sidelength of the square. What does the expression (8x)² represent?A.The area of a square with a side length of 8b.The area of a square with a side length of 16c.The area of a square with a side length of 4xd.The area of a square witha side length of 8x
Answer:
Step-by-step explanation:
s^2 represents the area of a square whose side length is s.
(8x)^2 represents the area of a square whose side length is 8x.
can someone please help me.
-280=-7(6a-8)
Answer:
a=8
Step-by-step explanation:
-280=-7(6a-8)
Distribute
-280=-7*6a-7+-8
-280=-42a+56
Subtract 56 from both sides
-336=-42a
Divide both sides by -42.
a=8
For every 1000 it makes £2 from ad revenue.
How many are required to make £25?
Answer:
12,500= £25
Step-by-step explanation:
Because every 1000 it makes £2 from ad venue, we must: (we can do two methods)
1.Divide £25 by £2 then multiply it by 1000. By doing this, we will know how many times 1000 are made when there is £25.
1000= £2
? = £25
So:
£25 ÷ £2= 12.5
12.5 × 1000= 12,500
2. Find how much it made for £1 by dividing 1000 by £2, then multiplying it by £25.
So:
1000 ÷ £2= 500
500 × £25= 12,500
I hope this helps! I'm sorry if it's wrong and too complicated.
Combine the like terms to create an equivalent expression: 5n+6+(-7n)
Answer:
-2n + 6
Step-by-step explanation:
To combine this expression, we simply put the like terms, the coefficient with the same variables, and constants together.
5n + 6 + (-7n)
So we can reorganize this:
(5n + -7n) + 6
==> (-2n) + 6
==> -2n + 6
So that is the equivalent expression with the combination of like terms.
Cheers.
Answer:
-2n +6
Step-by-step explanation:
The expression we are given is:
5n + 6 + (-7n)
We want to combine like terms. First, let's analyze each term.
5n ⇒ has a variable, "n"
5 ⇒ does not have a variable
-7n ⇒ also has a variable, "n"
The like terms in this case are 5n and -7n, since they both include a variable. Let's combine the like terms.
5n + 6 + (-7n)
(5n - 7n) +6
Subtract 7n from 5n.
(5-7) *n +6
(-2)*n +6
(-2n)+6
-2n + 6
There are no more like terms, so this is simplified as much as possible.
The expression 5n+6+(-7n) after combining the like terms is -2n+6.