Given:
[tex]5^2\times 5^{x-5}=625[/tex]
To find:
The value of x.
Solution:
We have,
[tex]5^2\times 5^{x-5}=625[/tex]
It can be written as
[tex]5^2\times 5^{x-5}=5\times 5\times 5\times 5[/tex]
Using property of exponents, we get
[tex]5^{2+x-5}=5^4[/tex] [tex][\because a^m\times a^n=a^{m+n}][/tex]
[tex]5^{x-3}=5^4[/tex]
Comparing the exponents on both sides, we get
[tex]x-3=4[/tex]
Adding 3 on both sides, we get
[tex]x=4+3[/tex]
[tex]x=7[/tex]
Therefore, the value of x is 7.
owo help me plz *smiles* thanks
Answer:
I belive it is A
Step-by-step explanation:
Answer:
I think it is #1
Step-by-step explanation:
28/45
Heather rode her bicycle 3 5/6 miles in 2/3 hour. What was her average speed in miles per hour?
Answer:
her average speed is 7 and 2/3 miles per hour
Step-by-step explanation:
Circle A has a radius of 9 centimeters and Circle B has a diameter of 19 centimeters. What is the relationship between the circumferences of Circle A and Circle B?
Answer:
18:19
Step-by-step explanation:
Given that,
The radius of circle A = 9 cm
The diameter of circle B = 19 cm
We know that,
Radius = diameter/2
The radius of circle B = 19/2 cm
The circumference of circle A is :
[tex]C_A=2\pi r_A[/tex] ....(1)
And that of circle B is :
[tex]C_B=2\pi r_B[/tex] ....(2)
Dividing equation (1) and (2) :
[tex]\dfrac{C_A}{C_B}=\dfrac{2\pi r_A}{2\pi r_B}\\\\=\dfrac{r_A}{r_B}\\\\=\dfrac{9}{\dfrac{19}{2}}\\\\\dfrac{C_A}{C_B}=\dfrac{18}{19}[/tex]
Hence, the ratio of circumferences of Circle A and Circle B is 18:19.
Consider the sets below.
U=x| x is a real number}
A= x| x is an odd integer)
R=x|x=3, 7, 11, 27}
Is RCA?
O yes, because all the elements of set A are in set R
O yes, because all the elements of set R are in setA
O no, because each element in set A is not represented in set R
O no, because each element in set R is not represented in set A
Answer: BBBBBB
Step-by-step explanation:
The correct option is,
"Yes because all the elements of set R are in set A"
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given the following sets;
U = {x | x is a real number}
A = {x | x is an odd integer}
R = {x | x = 3, 7, 11, 27}
Hence, The elements of the set A are,
⇒ A = {1, 3, 5, 7, 9, 11...}
R ⊂ A can be interpreted as R is a subset of A
i.e all the elements of R can be found in A.
Since, all the elements of R are all odd integers and can be fi=ound in A, hence R ⊂ A is TRUE.
The correct option is "Yes because all the elements of set R are in set A"
Learn more on subset here:
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1 yard = 3 feet
6 yards 2 feet = how much feet is 6 yards and 2 feet ?
HELP ASAP
Answer: 20
Step-by-step explanation: 3 feet in 1 yard, there are 6 yards.
6 x 3 = 18 feet plus the 2 extra = 20 feet
At a store, socks are sold with a different number of socks in each package. Which package has the lowest price per pair of socks?
HELP ME
Answer:
A is correct
Step-by-step explanation:
You have to find the rate of change for each one.
Divide the price with the amount
Hope this helps!
Can someone tell me which are non linear and which are linear for these three ? Ill give brainliest asap
Answer:
The y-value sequence on 1 linear. The x-value sequence on 1 is also linear.
The y- value sequence on 2 is linear. The x-value sequence on 2 is also linear.
The y-value sequence on 3 is linear. However I now think you are referring to the domain and range also linear graphs and non linear graphs, maybe I've confused you.
Step-by-step explanation:
So the difference between an exponential function and a linear function is whether it is arithmetic sequence or geometric sequence or just another sequence.
arithmetic is if the numbers are added by the common difference.
geometric is if the numbers are multiplied by the common ratio.
Find the area of the irregular figure.
2 in.
3 in.
5 in.
A = [ ? ]in.2
3 in.
2 in.
4 in.
4 in.
Answer:
area = 35 in²
Step-by-step explanation:
Bula went to Target and bought a new jacket. The price tag said $85 but the sign on the rack said
20% off the price tag. How much did Bula pay for the jacket?
$17
$65
$70
$68
1/3 (x + 4) = 20
What is x in the equation (100 points :)))
Answer:
x = 56
Step-by-step explanation:
[tex] \frac{1}{3} (x + 4) = 20 \\ \\ x + 4 = 20 \times 3 \\ \\ x + 4 = 60 \\ \\ x = 60 - 4 \\ \\ x = 56[/tex]
Segments that join opposite vertices in a quadrilateral called (medians, diagonals)
Answer:
Step-by-step explanation:WAT
I’ll mark brainlist if you help me get the right answer for this
Answer: 16% of men wanted sports cars
Step-by-step explanation:
25% - 9% = 16%
Answer:
I believe its 66, I'm not fully sure
what is 4.5+1.5k=18-3k
Answer: k = 3
Step-by-step explanation:
1
Combine multiplied terms into a single fraction
4
.
5
+
1
.
5
Answer:
Thr33
Step-by-step explanation:
3
Please Simplify 5(x - 6)
Final Answer: [tex]5x - 30[/tex]
Steps/Reasons:
Question: Simplify [tex]5(x - 6)[/tex]
Step 1: Expand by distributing the terms.
[tex]5x + 5[/tex] × [tex]-6[/tex]
Step 2: Simplify [tex]5[/tex] × [tex]-6[/tex] to [tex]-30[/tex].
[tex]5x - 30[/tex]
~I hope I helped you :)~
Our equation looks like:
[tex]5(x-6)[/tex]
This means that we will need to distribute. This means that we need to multiply everything inside the parenthesis by the number outside of the parenthesis. (Note: you only distribute when variables are involved.)
[tex](5 \cdot x)-(5 \cdot 6)[/tex]
Simplify:
[tex]5x-30[/tex]
We cannot simplify any further, so we know that our equation, until we know what x equals, is [tex]5x - 30[/tex].
What happens to the graph of f(x) when it is multiplied
by a number between 0 and 1?
Answer:
Therefore multiplying x by a number between 0 and 1 creates a horizontal stretch, which looks like a vertical compression. That is, the parabola will be shorter/wideStep-by-step explanation:
Answer:
Therefore multiplying x by a number between 0 and 1 creates a horizontal stretch, which looks like a vertical compression. That is, the parabola will be shorter/wider
Step-by-step explanation:
hope it heped
if I have 130 of something and I need 200 how many more do I need
Answer:
70
Step-by-step explanation:
200 - 130
what is the value of x? enter your answer in the box
Answer:
x=7
Step-by-step explanation:
6x6=36
6x7=42
Sides of the right triangle are 6x bigger
What is 6 to the power of 7 divided by 6 to the power of 5, in index form?
4(x + 2)- 6 = 14
Multiply 4(x+2)
- Write complete equation.
-Combine like terms.
-Inverse of addition or subtraction
-Inverse of Multiply
-Final Answer:
Answer:
4(x+2)-6=14
or,4x+8=14
or,4x=14-8
or,4x=6
therefore,x=3/2
What is the slope of the line with equation y-3=-1/2(x-2)?
-2
-1/2
1/2
2
Answer: m=-1/2
Step-by-step explanation:
Examine whether x + 2 is a factor of x³ + 3x² + 5x + 6 and of 2x + 4.
Step-by-step explanation:
x+2=0 x=-2
x^3+3x^2+5x+6
(-2)^3+3(-2)2+5(-2)+6
-8+12-10+6
0
hence x+2 is a factor of x^3+3x^2+5x+6
x+2=0
x=-2
2x+4
2(-2)+4
-4+4
0
also x+2 is a factor of 2x+4
I need help again!!!!
Answer:
Step-by-step explanation:
221/17= 13 miles per hour over
30 limit + 13 over = 43mph
Answer:
43
Step-by-step explanation:
Bc+ad=b solve for a
Answer:
bc+ad=b
ad=b-bc
ad=b(1-c)
a=(b(1-c))/d
Answer:
Step-by-step explanation:
ad = b - Bc
a = (b - Bc)/d
In 1992, Jason bought a gallon of gas for $1.18. Yesterday, he bought a gallon of gas for $2.17. What is the percentage increase in the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
A.
83.9%
B.
16.1%
C.
45.6%
D.
54.4%
I'm pretty sure the answer is 54.4% (D).
Answer:
D
Step-by-step explanation:
Question 2. Mode is the
(a) middle most frequent
value
(b) least frequent value
(c) maximum frequent value
(d) none of these
A boy walked for 4 hours and cycled for 3 hours covering a distance of 87.6km . Later she walked for 2 hours and cycled for 4 hours covering a distance of 101.8km. What was her average speed for walking and her average speed of cycling if these did not change in the two instances?
Answer:
average speed for walking = 4.5 km/h
average speed for cycling = 23.2 km/h
A scholar surveyed educators to determine if there was correlation between age and holding a doctorate degree. The survey results are below: Have a doctorate Do not have a doctorate 30 or younger 10 25 Older than 30 14 22 How many educators have a doctorate and are older than 30?
Answer:
14
Step-by-step explanation:
Given the result :
______________Doctorate ___ No doctorate
30 or younger ___ 10 ___________ 25
Older than 30 ___ 14 ___________ 22
Number of educators who have a doctorate and older than 30 = 14 ( from the table)
Older than 30 n Doctorate = 14
please help i don’t know this
Answer:
it is the third option
Step-by-step explanation:
you would subtract the 6.4 to the other side of the equation and then you would divide it by -1.1 and you would get 7
A gas can holds 101010 liters of gas. How many cans could we fill with 777 liters of gas?
Answer:
Step-by-step explanation:
the numbers might be wrong
if one can holds 101,010 liters
just 777 liters will fill easily in one can
Complete the point- equation of the line through (5,2) and (6,-3)