Answers
Answer:
x = 7/12
Step-by-step explanation:
Write the expression in exponential form with the base of 2
[tex]2x^{3x-3}[/tex] = [tex]32^{3x-2}[/tex]
[tex]2^{3x-3}[/tex] = [tex]2^{15x-10}[/tex]
Since the bases are the same, set the exponents equal
x - 3 = 15 - 10
Move variable to the left-hand side and change its sign
3x - 15x - 3 = -10
Move constant the the right-hand side and change its sign
3x - 15x = -10 + 3
Collect like terms
-12x = -10 + 3
Calculate the sum
-12x = -7
Divide both sides o the equation by -12
x = 7/12
Solution
7/12
Alternate form
x = 0.583
Related Questions
please answer this question thanks in advance
Answers
Write an expression that is equivalent to 5^-3
Answers
Answer:
1/125
Step-by-step explanation:
=1/5*5*5
=1/5^3
=1/125
Using exponent rules, when a number is raised to a negative exponent, change the exponent to positive and make a fraction with 1 as the numerator and the number as the denominator:
5^-3 = 1/(5^3)
I NEED HELP ASAP PLEASE!
20 POINTS!
Answers
I’m pretty sure
Point M is the midpoint of AB. The coordinates of point A are (-6,2) and the coordinates of M are (4,3) What are the coordinates of point B?
Answers
Answer:
The midpoint of segment AB is (0, 2.5)
Step-by-step explanation:
Hope this helps!
I have attached a screenshot
Answers
Answer:
Step-by-step explanation:
x2 + 2x - 7 + 11x2 - 5x - 1
Solving like terms
12x2 - 3x - 8
At a concert stadium tickets purchasers have a choice between sitting in the floor seats or in the bleachers seats. In the floor section, there are 16 rows of 48 seats. The bleachers section has 86 rows with 72 seats in each. How many seats are there in all stadium?
Answers
Answer:6960
Step-by-step explanation:
(16•48)+(86•72)=6960
4x - 1 = 2(2x + 2)
what is the answer?
Answers
Answer:
x = undefined
Step-by-step explanation:
Expand brackets
4x - 1 = 4x + 4
Rearrange and make like terms next to each other
4x - 4x = 4 + 1
0x = 5
x = 5/0
when 0 is the denominator the answer is undefined
Answer: from what i calculated there is no solution
Step-by-step explanation:
The City Zoo feeds its three giant pandas 181.5 pounds of bamboo shoots every day. Each panda is fed the same amount of bamboo. How many pounds of bamboo does each panda eat every day?
Group of answer choices
605 pounds
61.5 pounds
60.5 pounds
6.05 pounds
Answers
Answer:
60.5 pounds
Step-by-step explanation:
The total amount of pound is 181.5
And there are three pandas.
So 181.5 divide by 3 is 60.5
Below is the augmented matrix using the standard form of a quadratic equation that can help you write the quadratic equation going through the 3 points: \large \text{(-1,11) } \large \text{(1,5)} and \large \text{(2,11)} Hint: standard form \large ax^2+bx+c=y
Answers
Answer:
1.23
Step-by-step explanation:
123
0.000 000 000 000 000 000 000 000 001 672 622 kg.
The mass of a proton is
In scientific notation it is
Answers
Answer:
1.672 x 10 27
Step-by-step explanation:
Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received pennies. How many pennies did Al have initially
Answers
Answer:
2744
Step-by-step explanation:
Let Al had x pennies initially.
Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.
So, as per the given condition,
The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]
The number of Pennies received by Carl from Bev
[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]
The number of Pennies received by Dani from Carl
[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]
Now, as Dani received 216 Pennies, so
[tex]\frac{27}{343} x =216[/tex]
[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]
Hence, initially, Al had 2744 Pennies.
Find the measure of the labeled angles
Answers
Answer:
x would equal 23, so (x+92) would equal 115°, & (5x) would equal 115°.
answer first for brainliest
Answers
Answer:
ok
Step-by-step explanation:
Jose is saving for a new bike. He already has $125. If he saves
$25 of his allowance per week, how many weeks must he wait
to save at least $600 to cover tax and delivery fees?
Answers
Answer: 19 weeks.
Step-by-step explanation: 600 - 125 = 475. This means he needs to save $475 more. 475 divided by 25 is 19. So the answer is he must wait 19 more weeks.
Answer:
19 weeks
Step-by-step explanation:
600=25x+125
x=19
which sutuation could be represented by -11
Answers
Answer:
You have no apples then loose 11 more
Step-by-step explanation:
Trust
Heyy! Can y’all plz help me on this I would really appreciate it :)
10x - 7 = 7x - 1
Answers
Answer:
x = 2
Step-by-step explanation:
10x - 7 = 7x - 1
10x = 7x + 6
3x = 6
x = 2
Answer:
x = 2
Step-by-step explanation:
Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.
You should be left with 10x - 7x = 7 - 1.
10x - 7x = 3x
7 - 1 = 6
3x = 6
Divide both sides by three to get your answer of x = 2.
Which table represents a function?
Answers
Answer:
The first one, there are no repeating x values
Step-by-step explanation:
Look at the table. Bob ran 3 miles in 18 minutes. Complete the table:
Answers
Answer:
First one, Third one, Fifth one, and the last one too.
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, make a ratio:
18 min/ 3mile = 6 min/mile
now multiply to finish the table:
1: 6
3: 18
5: 30
10: 60
25: 150
You receive a gift card for an
online game. Every time you play,
you spend the same amount of
money. After playing 2 games,
the card balance is $17.70. After
5 games, the balance is $14.25.
Determine the original value of the
card. Explain.
Answers
Explanation: If you have $17.70 after 2 games and $14.25 after 5, you do 17.70-14.25; which equals $3.45 so in 3 games you spend $3.45 now divide that by 3 to determine the unit value; which equals $1.15, so you spend $1.15 on every game now times that by 2 which is $2.30 and add that to $17.70 to see the original amount of money on the card which was $20
Determine the domain, range and whether each table represents a function.
Answers
The range is the possible y values- which are 4,6,8 .
Yes it does represent a function because each element of X is related to ONE element of y.
Hope that helped!
==========================================================
Explanation:
The domain is the set of all possible x values. The range is the set of all possible y values.
Since we don't have any repeated x values, we have a function. Any given input x leads to exactly one y output value. Visually plotting the points leads to the graph passing the vertical line test, which shows the relation is a function.
help I will gvie brainiest
Shelly runs 2.5 miles in 18 minutes. What is her mile time in minutes?
Answers
Shelly runs 2.5 miles every 18 mins. To find out how many minutes it takes her to run one mile, let's divide 18 by 2.5
18 mins / 2.5 miles = 7.2 mins / mile
y - 1 = -4 (x + 1)
Please help thanks so much!
Answers
Answer:
[tex]y = - 4x - 3[/tex]
Step-by-step explanation:
[tex]y - 1 = - 4(x + 1) \\ y - 1 = - 4x - 4 \\ y = - 4x - 3[/tex]
Examine the operations above.
Pls mark brainliest
PLEASE HELP ME! I am not sure how to answer this question.
Answers
Answer:
yes
Step-by-step explanation:
the diagnols are congruent meaning that the diagnol lines in the middle are the same length. So theoretically the left and right lengths are the same, and the top and bottom lengths are the same. The triagles named both have the same base and they're hieght is sbviouysly the same so they would be SSS each of the sides on one triangle coresspondes to the other.
Anyone please answer only have 3 min
Answers
Answer:
A
Step-by-step explanation:
Answer:a
Step-by-step explanation:
Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and q = 7.)
Answers
Answer:
23
Step-by-step explanation:
7-5(1)+3(7)
7-5+21
2+21
23
Answer:
7-5+21 = 23
Step-by-step explanation:
7 - 5p+ 3q
7 - 5(1) + 3(7)
7 - 5 + 21
7 + 16
= 23 hope this helps :)
For anyone who had the similar question.
Answers
is this a function or not
Answers
Answer:
I believe it is
Step-by-step explanation:
None of the x and y values have the same number
Answer:
It is not the input 5 has 2 different output values, same as the input 3 it has more than one different output
Step-by-step explanation:
Hope this helps!
Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?
Answers
s = side length of square
4s = perimeter of square
L = length of rectangle
W = width of rectangle
P = 2L+2W = perimeter of rectangle
4s = 2L+2W .... since we want the perimeters the same
4s = 2(L+W)
s = 0.5(L+W)
s^2 = (0.5(L+W))^2 ... square both sides
s^2 = 0.25(L+W)^2
The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.
-----------------------------------
The area of the rectangle is LW
Let's subtract this from the area of the square and see what we get
A = area of square = s^2
B = area of rectangle = LW
C = difference in area
C = A - B
C = s^2 - LW
C = 0.25(L+W)^2 - LW
C = 0.25(L^2+2LW+W^2) - LW
C = 0.25L^2+0.5LW+0.25W^2-LW
C = 0.25L^2-0.5LW+0.25W^2
C = 0.25(L^2-2LW+W^2)
C = 0.25(L-W)^2
Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.
So C is always positive as long as [tex]L \ne W[/tex]
If C > 0, and C = A - B, then
C > 0
A-B > 0 .... replace C with A-B
A > B .... add B to both sides
This shows the square area is always larger than the rectangle.
Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.
We make [tex]L \ne W[/tex] to have a nonsquare rectangle.
Gigi makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes. Scale 1: 1 centimeter = 5 feet. Scale 2: 1 centimeter = 8 feet. A rectangle with length 7 centimeters and width 5 centimeters. Which shows the correct dimensions of the rectangle in both scales? Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft Scale 1: 56 ft by 25 ft; Scale 2: 35 ft by 40 ft Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft Scale 1: 56 ft by 40 ft; Scale 2: 35 ft by 25 ft
Answers
Answer:
Scale 1: 35ft by 25ft
Scale 2: 56ft by 40ft
Step-by-step explanation:
Given
Rectangle: 7cm by 5cm
Scale 1: 1cm = 5ft
Scale 2: 1cm = 8ft
Required
Determine the scale measurement
For Scale 1:
Actual Measurement
[tex]Length = 7cm[/tex]
[tex]Width = 5cm[/tex]
Scale 1: 1cm = 5ft
To calculate the scale measurement, we have to multiply the actual measurements by 5:
This gives:
[tex]Length = 7 * 5ft[/tex]
[tex]Length = 35ft[/tex]
[tex]Width = 5 * 5ft[/tex]
[tex]Width = 25ft[/tex]
So, the new measurement is 35ft by 25ft
For Scale 2:
Actual Measurement
[tex]Length = 7cm\\Width = 5cm[/tex]
Scale 2: 1cm = 8ft
To calculate the scale measurement, we have to multiply the actual measurements by 8:
Scale Measurement:
[tex]Length = 7 * 8ft[/tex]
[tex]Length = 56ft[/tex]
[tex]Width = 5 * 8ft[/tex]
[tex]Width = 40ft[/tex]
So, the new measurement is 56ft by 40ft
Answer:
c). Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft
Step-by-step explanation:
The sun produces 3.8 * 10 to the 27 power joules of energy per second. How much energy is produced in a year?
Answers
Answer:
1.20 × 10^35
Step-by-step explanation:
There are 60 seconds in 1 min and there are 60 mins in 1 hour. So in an hour there are 60 × 60 = 3600 seconds. There are 24 hours in a day. In a day, there are 3600 × 24 = 86400 seconds. A year is 365 days. So in a year there are 86400 × 365 = 31536000 seconds.
[tex](3.8 \times {10}^{27}) \times 31536000 = 1.20 \times {10}^{35} [/tex]