5^{x+1}-5^{x+2}=-2500. Find x
Answer:
x is 3
Step-by-step explanation:
[tex] {5}^{(x + 1)} - {5}^{(x + 2)} = - 2500 \\ [/tex]
divide all sides by -1:
[tex] {5}^{(x + 2)} - 5 {}^{(x + 1)} = 2500[/tex]
from law of indices:
[tex]( {5}^{x} . {5}^{2} ) - ( {5}^{x} . {5}^{1} ) = 2500[/tex]
factorise out 5^x:
[tex] {5}^{x} ( {5}^{2} - {5}^{1} ) = 2500 \\ {5}^{x} (20) = 2500 \\ {5}^{x} = 125 \\ {5}^{x} = {5}^{3} \\ x = 3[/tex]
If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4
Answer:
Y=K×X
when Y=-8 and X=4
-8=K×4
-8=4K divide both sides by 4
K=-2 constant
To find Y when X=-4,Y=? and K=-2
Y=-2×-4
Y=8
simplify the expression and enter your answer below
(17^1/7)^7
I NEED SOMEONE TO ANSWER THIS QUESTION
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want an ice cream party, 7 want a movie party, 10 want a costume party, and the rest are undecided.
If 20% percent want an ice cream party, how many students are in the class
Answer:
25
Step-by-step explanation:
5=20% of x
0.20x=5
divide both sides by 0.20
x=25
evaluate the expression when b = 4 and y = -6.
-b + 5y
Answer:
Answer = -34
Step-by-step explanation:
B = 4 ; y = -6
So,
-4 + (5) (−6)
= −4 + −30
= −34
Hope you get it :)
The value of expression will be;
⇒ - 34
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - b + 5y
And, The values are,
⇒ b = 4, y = - 6
Now,
Since, The expression is,
⇒ - b + 5y
Substitute b = 4, y = - 6, we get;
⇒ - 4 + 5 × - 6
⇒ - 4 - 30
⇒ - 34
Thus, The value of expression is,
⇒ - 34
Learn more about the mathematical expression visit:
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8. Find f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2
f(x) < g(x)
(2x + 3) < (3x - 2)
3 < x - 2
5 < x
x > 5
Check:
2x + 3 < 3x - 2
2(5) + 3 < 3(5) - 2
10 + 3 < 15 - 2
13 < 13 --- FALSE
2(10) + 3 < 3(10) - 2
20 + 3 < 30 - 2
23 < 28 --- TRUE
Hope this helps!
Answer:
x < 5
Step-by-step explanation:
f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2
2x + 3 < 3x - 2
2x - 3x < -2 -3
-x < -5
x > 5
Please help
Solve the inequality.
3 < 6x – 3 5 9
[?] = x= []
Answer:
(1 )= ..x = (2)
Step-by-step explanation:
(1) = x = (2)
Answer: 1 ≤ x ≤ 2
Step-by-step explanation:
Given inequality
3 ≤ 6x - 3 ≤ 9
Add 3 on all sides
3 + 3 ≤ 6x - 3 + 3 ≤ 9 + 3
6 ≤ 6x ≤ 12
Divide 6 on all sides
6 / 6 ≤ 6x / 6 ≤ 12 / 6
[tex]\boxed{1}[/tex] ≤ x ≤ [tex]\boxed{2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Need help in 8 seconds ASAP
which of the following shows 2.1851 rounded to the nearest hundredth?
A. 2.18
B. 2.185
C. 2.19
D. 2.2
Answer:
C. 2.19
Step-by-step explanation:
Solve for 2:
15.8
18.2
48
17.6
Answer:
x = 17.6
Step-by-step explanation:
We know that a quadrilateral will have a total of 360 degrees. We can create an expression and solve for x.
5x + 7x + 3x + 6 + 90 = 360
~Combine like terms
15x + 96 = 360
~Subtract 96 to both sides
15x = 264
~Divide 15 to both sides
x = 17.6
Best of Luck!
Please help with average rate of change algebra 2
Answer:
3 units per hour
Explanation:
Time = 9 hours
Difference in sales = 24 (Chromebooks)
24 ÷ 9 = 2.66...
When rounded, it equals 3.
select the line segment
A store sells cheese in half a pound package a recipe calls fpr 1.72 pound of cheese how many packages does the chef need
Answer:
4 packages
Step-by-step explanation:
Since the store sells by 1/2 packages, we have to round 1.72 UP to 2.00. Then we multiply 1/2pound by 4= 2.00 pounds
One branch of a stream is 45.27 meters long. It leads into another stream that is 503.62 meters long.
What is the total length of the stream?
From the information given, the total length of the stream will be 548.89 meters
The length of the first stream = 45.27 meters
The length of the second stream = 503.62 meters
The total length of the stream will be equal to the addition of the length of the first stream and the second stream and this will be:
= 45.27 meters + 503.62 meters
= 548.89 meters
Read related link on:
https://brainly.com/question/24443880
Answer
The correct answer iss 548.89
Step-by-step explanation:
45.27+503.62=548.89
Hope this helps!
What is the decimal equivalent for a centimeter?
Both Raquel and Felipe attempt to make a scale drawing of the original parallelogram shown
Answer:
lol someone just deleted my answer but like i said i cant really tell you unless you could possibly turn it around like up straight
Step-by-step explanation:
Helppp
Find the measure of ∠3.
Josephine enlarged a picture using a photocopier the original photo was 3.5 inches by 5 inches the copy was 8.5 by 12.5 inches . What is the scale factor of the dilation?
Answer:
the answer is 1 : 2.4 because for every 1 inch on the original image there are 2.4 inches on the modified image.
Step-by-step explanation:
Step 1:
Measure the change in X and Y of a single length of the original image.
X1 = 3.5
Y1 = 5
Step 2:
Measure the change in X and Y of the same length on the modified image.
X2 = 8.5
Y2 = 12.5
Step 3:
use formula SF = X2/X1 = Y2/Y1
(SF = Scale Factor Dilation)
(X2 and Y2 = change in X and Y of the same length on the modified image.)
(X1 and Y1 = change in X and Y of a single length of the original image.)
X2 = 8.5
8.5/X1
X1 = 3.5
8.5/3.5
8.5/3.5 = 2.4
2.4
1 : 2.4
Write the equation for each question:
9. the sum of 5 and four times a number is 32
10. four less than the square of a number is 12
11. The product of 3 and four more than a number is 20
Marking Brainliest for whoever answers with the equations
Answer:
See belowStep-by-step explanation:
The unknown number is reflected as n.
#9The sum of 5 and four times a number is 32:
5 + 4n = 32#10Four less than the square of a number is 12:
n² - 4 = 12#11The product of 3 and four more than a number is 20:
3*(n + 4) = 20which point is a solution to the following system:
y=-3x-13
x+2y=4
The graph of f(x) = 3x + 8 is shown.
Which statement is true?
ТУ
3
f(x)
O The function is only increasing when x2-8.
O The function is only increasing when x 20.
O The function is always decreasing.
O The function is always increasing.
-16
-12
8
X
-2
3
Answer:
the function is always increasing
Step-by-step explanation:
if you look at the graph, as x increases, y increases, no matter how small the increase
after allowing 20percent discount and levying 13percent vat the value of a watch will be rs 904 what is the marked price of watch
9514 1404 393
Answer:
₹1000
Step-by-step explanation:
Let m represent the marked price. After the discount, the price is 0.80m. After the tax is added, the price is (0.80m)(1.13). This value is Rs 904, so the marked price is ...
(0.80m)(1.3) = ₹904
m = ₹904/(0.80×1.13) = ₹904/0.904
m ≈ ₹1000
The marked price of the watch is ₹1000.
What is the rate of change on [-1,4]
Answer:
The rate of change no [-1,4] is x
Which percent is equivalent to 3/5 ?
Answer:
the answer will be 60 percent
=60%
Find the value of: a.5x³ + x² – 10x when x = 2
Answer:
24
Step-by-step explanation:
5x³ + x² – 10x
5(2)³ + (2)² - 10(2)
5(8) + 4 - 20
= 40 + 4 - 20
= 44 - 20
= 24
Which of the following are characteristics of a descriptive statistical study? Select all that apply.
Answer:
you have not given full question.. so please try again.
may this will help you :
Descriptive statistics summarizes or describes the characteristics of a data set. Descriptive statistics consists of two basic categories of measures: measures of central tendency and measures of variability (or spread). Measures of central tendency describe the center of a data set.
60% of a number is 1,944. 61% is 1,976.4. What is 2% of that number?
Answer: 64.8
Step-by-step explanation:
60/100=1944/x (cross multiplication
(1944*100)/60 = 3240
2% of 3240 =
2/100 = x/3240
64.8
( this helps with percentage (%/100=is/of) and cross multiplication)
16. An empty jar has a volume of
8x^2 + 2x - 4 cubic inches. Josh pours
4x^2 – 3x +2 cubic inches of water
into the jar. How many more cubic
inches of water could the jar still
hold?
9514 1404 393
Answer:
4x^2 +5x -6
Step-by-step explanation:
The remaining empty space is the difference between the original amount of empty space and the volume that was filled.
(8x^2 +2x -4) -(4x^2 -3x +2) = 8x^2 +2x -4 -4x^2 +3x -2
= (8 -4)x^2 +(2 +3)x +(-4 -2)
= 4x^2 +5x -6
The jar could hold 4x^2 +5x -6 more cubic inches.
Sue went to the store and bought 20 fish for $45, how many neon fish did she buy if the angel fish cost $3 and the neon fish cost $2?
Answer:
1 fish
Step-by-step explanation:
because it gaysjsjdjd
g(x)=−3x−4, find g ( 5 ) g(5).
Answer:
-19
Step-by-step explanation:
g(x)=−3x−4
Let x = 5
g(5)=−3*5−4
Multiply
= -15-4
= -19
[tex]g(x) = - 3x - 4 \\ \\ g(5) = - 3(5) - 4\\ \\ x = - 15 - 4 \\ \\ x = - 19[/tex]
Hope it help you