Answer:
exact form = 1/625
decimal form = 0.0016
The expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]
From the question,
We are to evaluate 5^-4.
First, we will write the expression properly.
The given expression is 5⁻⁴
Now, we will write the expression as a fraction
From one of the laws of indices, we have that
[tex]a^{-x} =\frac{1}{a^{x} }[/tex]
Therefore,
[tex]5^{-4} =\frac{1}{5^{4} }[/tex]
In simplest form
[tex]\frac{1}{5^{4} } = \frac{1}{625}[/tex]
Hence, the expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]
Learn more on simplifying expressions here: https://brainly.com/question/12985890
Evaluate the function f(x) = 7x - 8 at the given values of the independent variable and simplify.
a. f(7)
b. f(x + 5)
c. f(-x)
Answer:
Step-by-step explanation:
Given the function :
f(x) = 7x - 8
Evaluate the given values of the independent variable and simplify.
a. f(7)
b. f(x + 5)
c. f(-x)
A.) f(7)
f(7) = 7(7) - 8
= 49 - 8
= 41
B.) f(x + 5)
7(x + 5) - 8
7x + 35 - 8
7x - 27
C.) f(-x)
7(-x) - 8
-7x - 8
The cookie store had 187 cookie jars with 12 cookies in each cookie jar. How many cookies did the cookie store hav in all
Find the difference. (3 • 1,000) – (2 • 100) 100 1,000 1,900 2,800
Answer:
[tex]2,800[/tex]
Step-by-step explanation:
[tex]\left(3\cdot \:1,000\right)-\left(2\cdot \:100\right)[/tex]
[tex]3,000-\left(2\cdot \:100\right)[/tex]
[tex]3,000-200[/tex]
[tex]2,800[/tex]
Is(0,-2) a solution of x+y=6
Answer:
no
Step-by-step explanation:
x+y=6
Substitute the point into the equation and see if it is true
0 + -2 = 6
-2 =6
This is not true so the point is not a solution
Answer: No
Step-by-step explanation:
To see if (0.-2) is a solution of x+y=6, we can plug it in and solve.
0+(-2)=6 [add]
-2≠6
Since -2 does not equal 6, we know that (0,-2) is not a solution.
AREA OF THESE TWO POLYGONS?
Answer:
Step-by-step explanation:
2 points he Dockland Building in Hamburg, Germany is shaped like a parallelogram. If the length of the building is 86 meters and its height is 55 meters, what is the area, in square meters, of this face of the building?
Answer:
e
Step-by-step explanation:
how many minutes (min ) are in 2 hours?
Answer:
120
Step-by-step explanation:
1 hour = 60 minutes
2 hours = 2* 60 = 120 minutes
The largest perfect square factor of 252 is _____
Answer:
18
Step-by-step explanation:
252 is a composite number. The exponents in the prime factorization are 2, 2, and 1. Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) = 3 x 3 x 2 = 18. Therefore 252 has 18 factors.
What percent of 70 is 49?
Answer:
70%
Step-by-step explanation:
49/70 = 0.7
0.7*100 = 70%
A unit rate is a rate in which one of the quantities is 1. The unit rate is the same as the constant of proportionality. In our ice cream example, 1 scoop of ice cream costs $2. The unit rate, or unit price, of dollars per scoop is 2. Terrell sells clay pots. He sells 2 clay pots for $6, 3 clay pots for $9, and 4 clay pots for $12. What is the unit rate of dollars per clay pot? A 1 B 2 C 3 D 4
Answer:
The annswer is 3 for the clay pots
Step-by-step explanation:
someone help me answer this plzzzzz
Answer:
Step-by-step explanation:
r = (x co-efficient ÷ 2)²
r = (6/2)² = 3²
r = 9
s = - 2r
s = -2*9 = -18
1. Function s is y = 5x - 4
(a) What is the inverse of function s? Show steps to finding it.
(b) Graph the function & its inverse on the same grid. Show at least 3 points on each line.
(c) Is the inverse of function s a function? Explain your answer.
Answer:
duhuhduiwehiufhewufuewgewfguiwgf
Step-by-step explanation:
(B^2)(B^4)
Answer choices
B^8
B^6
B^2
2b^6
Answer:
Step-by-step explanation:
(B^2)(B^4) = B^(2+4)= B^6
answer is B
use picture or words to explain how you could find the sum of 7+7
Step-by-step explanation:
The sum of is of seven plus seven is 14. 7 orange fish and 7 blue fish equal 14 fishes in total.
The shelter has 90 dogs and 150 cats. of these animals 9 dogs and 27 cats receive medication. What percentage of animals receive medication?
30 divided by 1.25 with work
Answer:
24
Step-by-step explanation:
If you need an explaination you should immediatly remove yourself from the Gene pool, this is a 3rd grade question.
The result is: 30 divided by 1.25 equals 24.
To divide 30 by 1.25, follow these steps in words:
The division 30 ÷ 1.25 can be written as the fraction 30/1.25.
Remove the decimal by multiplying both the numerator and denominator by a power of 10 to convert the decimal into a whole number.
Since 1.25 has two decimal places, multiply both the numerator and denominator by 100 to remove the decimal:
30/1.25 = (30 * 100) / (1.25 * 100) = 3000 / 125
Find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD to simplify the fraction:
GCD of 3000 and 125 is 25.
3000 ÷ 25 = 120
125 ÷ 25 = 5
So, 3000/125 simplifies to 120/5.
Divide the numerator by the denominator to get the final result.
Now, simply divide the numerator (120) by the denominator (5):
120 ÷ 5 = 24
The result is 24.
So, 30 divided by 1.25 equals 24.
To learn more on division click:
brainly.com/question/21416852
#SPJ6
10y
6
2-
10
-2
ZO
-4
-6
-8
-10
Write the equation of the line shown in function form:
Equation: f(x) =
Please help me
I need to submit it now!!
Answer:
Alicia is correct because....
Step-by-step explanation:
12 - 4 = 8 + 3 = 11
The length of a rectangle is 5 centimeters longer than twice its width. If the perimeter of the rectangle is 88 centimeters, what is the width?
Answer:
The length of a rectangle is 5 centimetres longer than twice its width. If the perimeter of the rectangle is 88 centimetres, what is the width?
width=x
length=2x+5
perimeter=88=2L+2W
so half perimeter=44=L+W
x+2x+5=44
3x=39
x=13 cm width ANSWER
2x+5=31 cm length
The width of the rectangle is Width, W = 13 centimeters.
Let the length of the rectangle be L. Let the width of the rectangle be W.Given the following data:
Perimeter of rectangle = 88 centimetersTranslating the word problem into an algebraic equation, we have;
[tex]L = 2W + 5[/tex]
To find the width of the rectangle;
Mathematically, the perimeter of a rectangle is given by the formula;
[tex]P = 2(L + W)[/tex]
Substituting the values into the formula, we have;
[tex]88 = 2(2W + 5 + W)\\\\88 = 2(3W + 5)\\\\88 = 6W + 10\\\\6W = 88 - 10\\6W = 78\\\\W = \frac{78}{6}[/tex]
Width, W = 13 centimeters.
Therefore, the width of the rectangle is Width, W = 13 centimeters.
Find more information: brainly.com/question/897975
2.1 If an event has a probability that is greater than 0.4, what does it mean?
2.2 What is meant when two events are said to be mutually exclusive?
Answer:
Step-by-step explanation:
1) i think for the first question any probability greater than 0.4 has more likelihood that it will happen
2) mutually exclusive events are ones that cannot occur at the same time as it's impossible e.g. a single coin toss cannot result in you getting heads and tails
In one day at a store, 7% of the sales were
from shoes. Write 7% as a decimal.
Answer:
0.07
Step-by-step explanation:
Anwser: Your anwser is 0.07
PLEASEE HELPPP WOULD MARK BRAINLIST!!!
Which compound inequality is represented by the graph?
Answer:
The second one
Step-by-step explanation:
4. Lines 1 and 2 are parallel, and lines 3 and 4 are parallel.
Answer:
x=105
y=75
z=105
Step-by-step explanation:
Answer: x=105 y=75 z=105
Transformations of Functions - Algebra 2
i don’t understand this :(
Answer:
c
Step-by-step explanation:
i haven't done this in over a year so my explanation wont be good but i know the answer is right
Study these equations:
f(x) = 2x - 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
O h(x) = 6x2 – 10x - 4
O h(x) = 6x2 – 12x - 4
O h(x) = 6x2 + 2x - 4
O h(x) = 6x2 + 14x + 4
Answer:
A. h(x) = 6x2 – 10x – 4
Step-by-step explanation:
Got 100% on edge.
The value of h(x) is h(x) = 6x^2 -10x + 4
How to determine the composite function?The functions are given as:
f(x) = 2x - 4
g(x) = 3x + 1
So, we have:
h(x) = f(x)g(x)
This gives
h(x) = (2x - 4) * (3x+ 1)
Evaluate
h(x) = 6x^2 + 2x - 12x - 4
This gives
h(x) = 6x^2 -10x + 4
Hence, the value of h(x) is h(x) = 6x^2 -10x + 4
Read more about composite functions at:
https://brainly.com/question/10687170
#SPJ5
There are 230 calories in a 48 g packet of M& M's. How many calories are in a 9.6 g bag?
Answer:
The answer is
46 caloriesStep-by-step explanation:
In order to solve this question we use ratio and proportion
From the question there are 230 calories in 48g of M & M's
That's
If in 48g of M & M's we have 230 calories
9.6 g will contain
[tex] \frac{9.6 \times 230}{48} \\ = \frac{2208}{48} [/tex]
We have the final answer as
46 calories
Hope this helps you
Select the possible values
Answer:
all exept 1
Step-by-step explanation:
blah blah blah
Simplify −0.6(−6.3). −3.78 −3.63 3.63 3.78
Answer:
3.78
Step-by-step explanation:
a negative multiplied by a negative is a positive. 0.6 multiplied by 6.3 equals 3.78
Answer:
3.78
Step-by-step explanation:
A large rectangular movie screen in an IMAX theater has an area of 7,544 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide length= width=
Answer:
61.37
Step-by-step explanation:
this is i believe the correct answer but i could still be wrong cause x times x is x square but i am not so sure how much that really matters
take x as the width
x plus 10 as the length
2x plus 10 equals 7544 squared
so square root 7544 minus 10 divided by 2
note that it must be done all at once u cant do it seperately
x is 61.37 dont forget to add 10
d(n) = 6 - 4(n - 1) find the 5th term in the sequence
d(n) = 6 - 4(n - 1)
Plug 5 into the equation for n.
d(5) = 6 - 4(5 - 1)
Subtract 1 from 5
d(5) = 6 - 4(4)
Multiply 4 by 4
d(5) = 6 - 16
Simplify the right side
d(5) = -10
The fifth term in the sequence is -10
The 5th term of the sequence is -10.
What is a sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given is a sequence, d(n) = 6 - 4(n - 1)
To find the 5th term, put n = 5
d(5) = 6-4(5-1)
= 6-4×4
= 6-16
= -10
Hence, the 5th term of the sequence is -10.
For more references on sequence, click;
https://brainly.com/question/19819125
#SPJ2