Answers
Answer:
x = 7
Explanation:
Because 25 is a perfect square of 5, we can turn
[tex]5^{3x - 5}[/tex] = [tex]25^{x + 1}[/tex]
into
[tex]5^{3x - 5}[/tex] = [tex]5^{2x + 2}[/tex]
Since the bases are now both equal, we can completely ignore them, as we are only trying to find x. This leaves us with:
3x - 5 = 2x + 2
All we have to do now is solve for x:
x - 5 = 2 Subtract 2x from both sides.
x = 7 Add 5 to both sides.
Hope this helps! :)
Answer:
x = 7
Explanation:
To solve for x in this equation, we're going to need to get the two exponents (3x - 5 and x + 1) equal to each other, but we can't do that unless our bases are the same.
For example, in [tex]A^{x} = B^{x + 1}[/tex], you cannot solve x = x + 1. In [tex]A^{x} = A^{x + 1}[/tex], you can solve x = x + 1.
Just by looking at the bases, 5 and 25, you can tell that it will be simple to make them match. 25 is just 5². The tricky part is going to be figuring out where to put the 2 into x + 1.
Let's look at another example. If you have [tex]2^{2 * 2}[/tex], then you can simplify it to [tex]2^{4}[/tex], which is 16. Or, you could do them one at a time, so [tex](2^{2}) ^{2}[/tex]. This way you'd have 4², which you'd be able to recognize as 16. Based on this example, we know that to make our bases the same, we need to change [tex]25^{x + 1}[/tex] to [tex]5^{2(x + 1)}[/tex].
[tex]5^{3x-5} = 25^{x+1}[/tex] Change the right side to [tex]5^{2(x + 1)}[/tex]
[tex]5^{3x-5} = 5^{2(x+1)}[/tex] Simplify that exponent using distribution
[tex]5^{3x-5} = 5^{2x+2}[/tex]
Now that the bases match, you can get rid of them and just set the exponents equal to each other and solve for x.
3x - 5 = 2x + 2 Add 5 to both sides
3x = 2x + 7 Subtract 2x from both sides
x = 7
Now, check you work!
[tex]5^{3x-5} = 25^{x+1}[/tex] Plug in 7 for x
[tex]5^{3(7)-5} = 25^{(7)+1}[/tex] Simplify
[tex]5^{21-5} = 25^{8}[/tex] Simplify one more time
[tex]5^{16} = 25^{8}[/tex] Plug these into a calculator if you have one
152587890625 = 152587890625 So you know that x = 7 is correct.
Related Questions
what can keep a drink hot or cold
Answers
Answer:
a thermo cup
Explanation:
Answer:
Explanation:
A Thermos.
Most Thermoses do a little better with hot than cold, but both are well kept if the time between heating or cooling is not too long.
It is known that 45 percent of men snore and 25 percent of women snore. If you put a man and a woman together , what is the probability that someone will be snoring
Answers
Answer:
0.35
Explanation:
( 0.45*1 + 0.25*1 ) / 2 = 0.35
The probability that someone would be snoring given the percentage of men and women who snore would be 0.5875.
How to find the probability ?In general, for two independent events A and B, the probability that either A or B occurs is given by:
P(A or B) = P(A) + P(B) - P(A and B)
In this case, we'll need to assume that the man's snoring is independent of the woman's snoring, which seems reasonable in this context.
P(M and W) is the probability that both the man and the woman snore, and since the events are independent, it's given by:
P(M and W) = P(M) * P(W) = 0.45 * 0.25 = 0.1125
Substituting these values into the formula, we get:
P(M or W) = P(M) + P(W) - P(M and W)
P(M or W) = 0.45 + 0.25 - 0.1125
= 0.5875
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what is the difference between a lemon and a lime.
Answers
Lemons and limes are highly acidic citrus fruits. Limes are green, small, and generally more acidic than lemons. Lemons are yellow and larger than limes. Both fruits have good nutritional qualities. There pH is also different take a look at the picture below.
Limes and lemons are from the same citrus fruit family, rich in vitamin C but different in color. Limes are green and smaller, whereas lemons are yellow and big in size. Despite the differencein flavor, color and size; limes andlemons have the same nutritional benefits and are low in calories.
There are often concerns about accreditation with ___ colleges.
Answers
Answer:
Proprietary
Explanation:
There are often concerns about accreditation with Proprietary colleges.
Answer:
Propietary
Explanation:
Propietary colleges are higher education institutions that work as a private, for profit organization. With these colleges there is a general concern related to the accreditation as a lot of them don't have the same accreditations as the non-profit schools and because of that some of the non-profit colleges or employers don't accept their degrees.
4. Too much visual stimulation can lead children to be
Answers
Answer:
lead to defect in vision
Explanation:
May cause myopia or hypermeteropia too and also leads to effect rods and cones
ANSWER:
Too much visual stimulation in the classroom can lead the children to be distracting from their academic performance.
EXPLANATION:
When a classroom is enriched with visual stimulation, then it tends to make a negative impact on the mindset of the students that eventually distract the students from their studies inside the classroom. It has also been proved that the layout and wall color of the classroom has a serious impact on the student’s physical and mental health too.A broken clock that loses 12 minutes every hour is set at 12:00 noon at the same time a normal clock has it's time set to 12:00 noon when the broken clock reaches midnight what will the normal clock read?
Answers
When the broken clock reaches midnight, the normal clock will read 2:24 AM.
What will the normal clock read when it reaches midnight?The broken clock loses 12 minutes every hour. Since it started at 12:00 noon and reaches midnight, it has been running for 12 hours (from 12:00 noon to 12:00 midnight). With a loss of 12 minutes per hour, the broken clock will have lost a total of:
12 minutes x 12 hours = 144 minutes.Additionally, we know that the broken clock has lost 144 minutes, which is equivalent to 2 hours and 24 minutes (144 minutes ÷ 60 minutes per hour = 2.4 hours). So, when the broken clock reaches 12:00 midnight, the normal clock would be 2 hours and 24 minutes ahead of it.
12:00 midnight + 2 hours = 2:00 AM2:00 AM + 24 minutes = 2:24 AMSo, when the broken clock reaches 12:00 midnight, the normal clock will read 2:24 AM.
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which of the following pathways would be found under the transportation, distribution, and logistics career cluster? [Apex]
A. Engineering and technology
B. Health, safety, and environmental management
C. Security and protective service
D. Logistics and inventory control
Answers
Answer:B. Health, Safety, and Environmental Management
Explanation:
Answer:
Health, Safety, and Environmental Management
Explanation:
Just did test
Which of these solutions has the highest freezing point?
A.
1.0 M molecular sucrose (C12H22O11)
B.
1.0 M ionic sodium chloride (NaCl)
C.
1.0 M ionic calcium bromide (CaBr2)
D.
1.0 M ionic aluminum bromide (AlBr3)
E.
1.0 M ionic potassium chloride (KCl)
Answers
Answer:
A.
1.0 M molecular sucrose (C12H22O11)
Answer:
A. 1.0 M molecular sucrose (C12H22O11)
Explanation:
1.0 M molecular sucrose (C12H22O11) has the highest freezing point.
Help me please with it
Answers
Answer:
D
Explanation:
Double the first equation. Write the second below it. Rearrange the second.
2x - 20 = - 4y
-2x -16= +4y Add.
- 36 = 0
There is no solution to this pair of equations.
late at night some traffic signals change patterns and become ?
Answers
Answer: Caution Lights ( An intermitent yellow light )
Explanation: At night, is normal to see a decrease in the traffic of some streets. Then is normal that the traffic lights change their usual way to work, and now they just show the yellow light in an intermittent pattern. This means that the driver must have caution when passing trough the street.
Direct Stafford Loans are funded by the
Answers
Direct Stafford Loans are funded by the federal government, which provides these student loans via the college's financial aid office after changes were enacted in 2010 to eliminate private banks from the lending process.
Explanation:Direct Stafford Loans are funded by the federal government. These are made to eligible undergraduate and graduate students to assist with the costs of higher education. There are two types of Direct Stafford Loans: Direct Subsidized Loans, which are based on financial need, and Direct Unsubsidized Loans, which do not require proof of financial need.
In March 2010, significant changes were made when President Obama signed a law that effectively transferred the responsibility of issuing student loans from private banks directly to the federal government through the college's financial aid office. This move not only cut out the intermediary private banks, which were assured profits with minimal risk but also aimed to expand the Pell grants program with the savings achieved.
Despite this change, banks still have a role in this system, as they now earn income by servicing the loans instead of originating them.
each day grace eats 40 % of the gummy bears left in a bag at that time .at the end of the second day 27 gummy bears remain how many gummy bears were in the bag at the first day
Answers
Answer:
75
Explanation:
Grace has been eating gummy bears for two days.
Let n = number of gummy bears at beginning of first day. Then
0.40n = number of gummy bears eaten on first day, and
0.60n = number of gummy bears remaining at end of first day
0.60n = number of gummy bears at beginning of second day.
0.40 × 0.60n = 0.24n = number of gummy bears eaten on second day
0.60n - 0.24n = 0.36n = number of gummy bears remaining at end of second day
0.36n = 27
n = 27/0.36 = 75
There were 75 gummy bears in the bag at the beginning of the first day.
A good letter of recommendation:
Answers
Answer:
D) conveys unique qualities about a student
Explanation:
A good letter of recommendations would have a lot of good things about the student, so it would be more than a page long.
Schools want to hear good things about students, so it would D.
What identifies your skills and interests to help you plan out your career
goals?
A. A self-assessment
B. A self-help book
C. A self-examination
D. A bit of self-knowledge
Answers
Answer:
A - Self-assessment
Explanation:
Answer:
the answer is letter A. A self-assessment
which of the following is an example of a wrong reason to choose a career [Apex]
A. Wanting opportunities for growth
B. Keeping yourself challenged
C. Taking the easiest path
D. Doing what you love
Answers
Answer:
Taking the easiest path
Salt glands allow desert animals to reduce the water loss due to a respiration be transpiration see evaporation or D urination ?
Answers
Answer:
The correct answer is: D urination
ANSWER:
Salt glands allow desert animals to reduce water loss because of Urination.
EXPLANATION:
The salt gland secretes various ions that help the desert animals to excrete excess salt present in the water they consume. This gland produces hyperosmotic fluid that helps in secretion of sodium chloride ions.
So salt-containing water excretes out in the form of urination and the remaining water returns to the blood fluid. Thus water loss through urination is reduced.
what was that reason to do that reason
Answers
How do YOU spell donut/doughnut?
A. Donut
B. Doughnut
Answers
Answer:
Donut
Explanation:
Doughnut is used by rare people. So, I just say Donut
Answer:
Either way is technically correct, but the original form of the word is doughnut. While the word has been Americanized to the shortened version of donut. If this were for the sat doughnut would be "more" correct
Explanation:
While most people see the value in setting goals, few people routinely do it.
O
True
O False
Answers
False, While most people see the value in setting goals, few people routinely do it.
What are the 5 steps of setting goals?The 5 Golden Rules of Goal-Setting
Specific. Measurable. Attainable.Relevant.Time-bound. What is goal setting and examples?Filters. The definition of goal setting is the process of identifying something that you want to accomplish and establishing measurable goals and timeframes
To learn more about setting goals, refer
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Which statement best describes how chemical equations demonstrate conservation of mass?
A.
The number of reactants is the same as the number of products.
B.
The compounds are the same on each side of the reaction.
C.
The number of atoms of each element is the same on each side of the equation.
D.
The state of matter is the same on each side of the equation.
Answers
Answer:
Explanation:
Let's just get the answer and then show why the others are wrong.
The answer is C.
The number of reactants and Products need not be the same
C3H8 + 5O2 ===> 3CO2 + 4H2O
The reactants = 1 + 5 = 6
The products = 3 + 4 = 7
So A is incorrect.
================
B is saying that
C3H8 + 5O2 ===> C3H8 + 5O2
The answer is obviously not B
======================
C8H18(l) + O2(g) ==> CO2(g) + H2O(g) unbalanced
Gasoline is a liquid. All the rest are gases. D is wrong.
=================
C is correct
The left side has
3 Cs
8 Hs
and 10 Os
The right side has
3Cs
8Hs
10 Os
I GIVE THE BRAINLIEST
YOU MUST ANSWER ALL THE QUESTIONS!
1.A plant that has no ovary would not be able to form which structure?
filament
fruit
petals
sepal
2.Jack needs to determine the missing flower part in this set:
pistil, stigma, style, _____
Which part of a flower best completes the set?
anther
petals
stamen
ovary
3.Which structure becomes the seed after fertilization?
ovary
anther
ovule
pollen
4.Farah makes a Venn diagram to compare monocots with dicots.
Which label belongs in the region marked X?
Angiosperm
Cotyledon number
Leaf structure
Vascular bundle structure
5.Which label belongs in the region marked X?
Angiosperm
Cotyledon number
Leaf structure
Vascular bundle structure
6.If the pollen in a plant were not able to form a tube, which process would still be able to happen?
dispersal
fertilization
pollination
seed development
7.What are the two kinds of angiosperms?
pollinators and fertilizers
monocots and dicots
rhizomes and bulbs
stamen and pistils
8.Examine the sentence that Eunice wrote to describe the male reproductive parts of a flower.
The filament is the main structure, which is made up of the stamen with the anther on top.
Which statement best describes Eunice’s sentence?
It correctly describes the male reproductive parts.
Eunice switched the stamen and the anther.
Eunice switched the filament and the stamen.
It correctly describes the female reproductive parts.
20 POINTS
The image is for the question 4
Answers
Answer:
1. Fruit
2. Ovary
3. Ovule
4. Leaf Structure
5. Vascular bundle structure
6. Dispersal
7. Monocots and Dicots
8. Eunice switched the Filament and Stamen
Answer:
1. Fruit
2. Ovary
3. Ovule
4. Leaf Structure
5. Vascular bundle structure
6. Dispersal
7. Monocots and Dicots
8. Eunice switched the Filament and Stamen
i just took the test so yeah the gut before was right
How do you solve? Please answer this question ASAP!!
Answers
Answer:
280
Explanation:
For ease of comparison $20/hr < $12/hr+ commission, let's do it by the hour first.
Hourly pay of the food truck is $12, every burger she sells, she gets 10% of the $12 burger, which is $1.2. Therefore all we need to figure out is 1.2x +$12 > $20. Minus both sides by 12, now all we have is down to the bare minimum: 1.2*X = $8
8 divided by 1.2 is 6.66 (infinite), but since she can't sell 0.6 of a burger, we need to round up, which is 7, keep in mind we are still at hourly. Now we know that she has to sell at least 7 burgers every hour she's working for the food truck, it's a 40-hour work week, 7*40 is 280.
Check:
Food truck: $12+ 12*0.1*7 = $20.4/hr $20.4 > $20
Best of luck for your SAT!
Two angles of an isosceles triangle measure 70°
and xº. What is the sum of all possible values of
x?
Answers
Answer:
percent is the o in
Explanation:
Drake is from which country
Answers
Answer:
Drake is from Toronto, Canada.
Explanation: