Answer:
x = -9Step-by-step explanation:
[tex]8=2^3\\\\8^{x-3}=(2^3)^{x-3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\8^{x-3}=2^{3(x-3)}\qquad\text{use the distribtutive property}\ a(b+c)=ab+ac\\\\8^{x-3}=2^{3x-9}\\\\\text{Therefore}\\\\2^{4x}=8^{x-3}\Rightarrow2^{4x}=2^{3x-9}\iff4x=3x-9\qquad\text{subtract}\ 3x\ \text{from both isdes}\\\\4x-3x=3x-3x-9\\\\x=-9[/tex]
Answer:2^4x = 8^x-3
Step-by-step explanation:Answer is D
use multiplication to find three ratios equivalent to 5 : 11.
Round to the nearest given place.
1.80431
thousandths
Maia's calculator displays a number as 9.125 E10. What is this number in standard form? Enter your answer in the box.
the correct answer would be 9.125x10^{10}
you're welcome :)
help asap
If the original quantity is 15 and the new quantity is 18, what is the percent increase?
The percent increase is 20%.
What is Percent increase?The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.
Given:
original quantity = 15 and the new quantity =18
so, Change in amount = 18- 15= 3
So, the percent increase
= Change in amount / original amount x 100
= 3/ 15 x /100
= 100/5
= 20 %
Hence, the percent increase is 20%.
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Blake and Jerome will split 1/4 if a cherry pie.How much of the cherry pie will each get
what is 0.4% of $100
0.4% = 0.004
100 * 0.004 = 0.4
Choose the answer based on the most efficient method as presented in the lesson. If the first step in the solution of the equation - X + 6 = 5 - 3x is " subtract 5," then what should the next step be?
You would add x to -3x
What is the cost of 2 kilograms of flour if 3 Kg cost $4.86 and the unit price for each packet of flower is the same? A. $0.81 B. $2.86 c. $3.24 d. $9.72
which system of inequalities is graphed below
Answer:
Option D
Step-by-step explanation:
Let's explain why the Option D is correct :
The Parabola equation: [tex]$x \leq y^2 - 8$[/tex]This is a parabola equation with vertex at x = -8.
Despite that the "traditional equation" is [tex]$ y=x^2 + b $[/tex] in this case the parabola equation is plotted in the X axis and has a [tex]$ <= $[/tex] sign which indicates that X will take values less and equal than [tex]$ y^2 -8 $[/tex]
The graph of the parabola is attached to the answer.
The hyperbola equation: [tex]$ {x^2 /{3^2}} - {y^2 / {5^2}} > 1 $[/tex]This is a hyperbola equation with center at (0,0) and vertex's : V1=(3;0) and V2=(-3;0)
The two points (0;5) and (0;-5) on the Y axis are not on the hyperbola.
It's similar to the previous case of the parabola, Despite that the "traditional equation" of the Hyperbola : [tex]$ {x^2 /{a^2}} - {y^2 / {b^2}} = 1 $[/tex] in this case the hyperbola equation has a [tex]$ > $[/tex] sign which indicates that hyperbola will take values greater than those who correspond to [tex]$ {x^2 /{3^2}} - {y^2 / {5^2}} = 1 $[/tex]
The graph of the Hyperbola is also attached
Finally we deduce that the D system of inequalities is the correct one.
Also the answer is attached.
You are working as an assistant to a chef.the chef has 6 cups of berries and will use 2/3 cup of berries for each dessert he makes.how many desserts can he make?
Write a decimal that is greater than 3.4 but less than 3.5
Find the value of x. (5x+15) (6x-10)
Answer:
We get x = -5/3 and x = -3
Step-by-step explanation:
[tex](5x+15) (6x-10)[/tex]
Multiplying this and equating to zero, to find x.
[tex]30x^{2} -50x+90x-150=0[/tex]
[tex]30x^{2} +40x-150=0[/tex]
Factoring out 10.
[tex]3x^{2} +4x-15=0[/tex]
[tex]3x^{2} +9x-5x-15=0[/tex]
3x(x+3)-5(x+3)=0[tex]
[tex](3x-5)(x+3)=0[/tex][/tex]
We get x = -5/3 and x = -3
There are 7 days in 1 week. How many days are there in 4 weeks?
Hans rented a truck for one day. There was a base fee of $19.99 , and there was an additional charge of 85 cents for each mile driven. Hans had to pay $205.29 when he returned the truck. For how many miles did he drive the truck?
What is the cost per day of renting a car from a-1
The cost per day of renting a car from A-1 depends on various factors such as car type, rental duration, and additional fees. It is always a good idea to check with A-1 or the rental car company for accurate pricing information.
Explanation:The cost per day of renting a car from A-1 can vary depending on the specific rental car company and location. Generally, the cost is determined by factors such as the type of car, duration of rental, and any additional fees or insurance coverage. For example, if you rent a compact car from A-1 for 3 days and the total cost is $150, then the cost per day would be $50. It is always recommended to check with A-1 or the specific rental car company for accurate pricing information.
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50 POINTS!!!!!!!!!
Using the figure below to answer the questions.
(a) Describe in words a sequence of transformations that maps triangle JKL to triangle J’K’L’.
(b) Write an ordered-pair rule for each transformation in the sequence.
The graph shows the distances traveled by two hikers over several hours.
A graph measuring distance and time. Two lines, labeled Hiker A and Hiker B, exit the origin to show that distance increases as time increases
Which hiker is moving at a faster rate?
Select from the drop-down menu to correctly complete the statement.
Hiker is moving at a faster rate.
Answer:
Hiker A is moving at a faster rate.
Step-by-step explanation:
When two lines are being compared, the one that moves faster is the one with the higher slope. Looking at these two graphs, we see that the graph of Hiker A has a higher slope; therefore Hiker A is moving faster.
Using the information depicted on the graph, the speed of the hikers is given by the slope of the graph. Hence, Hiker A is moving at a faster rate.
The steepness of the slope of a linear graph can be used to measure the rate of change.
Steeper slope means a higher rate of change. Since, Hiker A has a steeper slope, then he is moving at a faster rate.
Therefore, the hiker moving at a faster rate is hiker A.
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integral of x sqrt(36+x^2) when x = 6tan theta
A glass pitcher holds 6 1/3 cups of pineapple juice. Tracy transfers the juice in equal amounts into 3 bottles. How many cups of juice will each bottle contain? (Show ur work plz)
Uptown Photography charges $15 per portrait sheet, plus $19 for a session fee. Downtown Photography charges $29 for a session fee and $10 per portrait sheet. Find the number of portrait sheets for which the total price is equal for the companies with the solution stated as an ordered pair. A) (5, 79) B) (4, 69) C) (3, 59) D) (2, 49)
The answer is (2,49).
A 50-foot flagpole is at the entrance of a building that is 300 feet tall. If the length of the flagpoles shadow is 30 feet at a certain time of day, how long is the building's shadow at that time?
Answer:
180 for plato
Step-by-step explanation:
PLEASE HELP ME
Which equation applies the associative property of multiplication?
A. 1/2⋅(5/8+3/6)=(1/2⋅5/8)+(1/2⋅3/6)
B. (−4/11−2/3)−3/4=−4/11−(2/3−3/4)
C. 4/9⋅(−3/8)⋅9/4=4/9⋅9/4⋅(−3/8)
D. −12/5⋅(7/12⋅1/9)⋅8/5=(−12/5⋅7/12)⋅(1/9⋅8/5)
The answer to your question is D. −12/5 ⋅ (7/12 ⋅ 1/9) ⋅ 8/5 = (−12/5 ⋅ 7/12) ⋅ (1/9 ⋅ 8/5)
Why?: ~because the associative property of multiplication means that no matter which what you change the answer option, you'll still get the answer for example, if you multiply −12/5 ⋅ (7/12 ⋅ 1/9) ⋅ 8/5 The answer would be the exact same as (−12/5 ⋅ 7/12) ⋅ (1/9 ⋅ 8/5) because, if you go through this list of answers you'll see that they are the same, so you should get the same answer which is D. −12/5 ⋅ (7/12 ⋅ 1/9) ⋅ 8/5 = (−12/5 ⋅ 7/12) ⋅ (1/9 ⋅ 8/5)
Answer:
D
Step-by-step explanation:
Item 2 Solve the equation using square roots. m^2+8m+16=45
To solve the equation m^2 + 8m + 16 = 45 using square roots, rearrange the equation to equal zero, substitute the values of a, b, and c into the quadratic formula, and calculate the solutions for m.
Explanation:To solve the equation m^2 + 8m + 16 = 45 using square roots, we can rearrange the equation so that one side is equal to zero:
m^2 + 8m + 16 - 45 = 0.
Simplifying further, we have m^2 + 8m - 29 = 0.
Using the quadratic formula, which is x = (-b ± √(b^2 - 4ac))/(2a), where a = 1, b = 8, and c = -29, we can calculate the solutions for m.
Plugging in the values into the quadratic formula, we get m = (-8 ± √(8^2 - 4(1)(-29)))/(2(1)).
Simplifying further, we have m = (-8 ± √(64 + 116))/(2).
Summing up, the solutions for m are m = (-8 ± √180)/2.
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14/27 rounded to the nearest 1/2
The following is the process:
To find 14/27 rounded to the nearest 1/2, you need to determine which fractions with a denominator of 2 (1/2, 2/2, etc.) are closest to 14/27.
First, notice that 14/27 is more than 1/2 (which is equivalent to 13.5/27), but less than 1 (which is equivalent to 27/27).
The two nearest halves to 14/27 are 1/2 (which is 13.5/27) and 3/2 (which is 40.5/27). Since 14/27 is closer to 1/2 than to 3/2, you would round down to 1/2.
Which of the following describes a situation in which the total distance a baseball player travels is zero meters from his starting point?
The player runs 5 meters forward, and then runs 5 meters in the opposite direction.
The player runs 5 meters forward, and then runs 6 meters in the opposite direction.
The player runs 6 meters forward, and then runs 5 meters in the opposite direction.
The player runs 6 meters forward, and then runs 0 meters in the opposite direction.
Answer:
THE ANSWER IS:The player runs 5 meters forward, and then runs 5 meters in the opposite direction.
because if the player runs both 5 up and 5 down he has gone nowhere witch means the distance he has traveled is 0 so that's your'e answer the first one
Which statement is true?
1.) (p^2)^5= p^3
2.) (p^2)^5= p^7
3.) (p^2)^5= p^10
4.) (p^2)^5= p^25
9-3÷1/3+1. what's the answer
Sanjay has quiz scores of 96%, 89%, 92%, 77%, 100% and 87%. What score does he need to make on the final quiz to have an overall average of 91%?
Answer:
Sanjay needs to make a score of 96% to have an overall average of 91%.
Step-by-step explanation:
Sanjay has already done six quizzes, whose qualification was of 96%, 89%, 92%, 77%, 100% and 87%, a total of 541 points, thus giving an average of 90.16%. In order to know which qualification should Sanjay reach to have an overall average of 91%, we have to do the following calculation:
(541 (total points of the six previous exams) + X (qualification that Sanjay should achieve)) / 7 (total amount of exams) = 91
(541 + X) / 7 = 91
541 + X = 91 x 7
541 + X = 637
X = 637 - 541
X = 96
Sanjay needs to make a score of 96% to have an overall average of 91%.
How to solve z divided by 4/9=3/8
Is 3.5 an irrational number