If 3 Superscript 2 x 1 Baseline = 3 Superscript x 5, what is the value of x? 2 3 4 6.
The value of x that will make the expression equal is 4. Option B is correct.
Given the indices expression;
[tex]3^{2x+1} = 3^{x+5}[/tex]
Since the base values are the same, they will cancel out to have:
[tex]2x + 1 = x + 5[/tex]
Collect the like terms:
[tex]2x - x = 5 - 1\\x = 4\\[/tex]
Hence the value of x that will make the expression equal is 4
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Answer:
the correct option is C which is 4
Step-by-step explanation:
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What is 13/12 as a percentage?
Highlighter pens cost $3. 86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens? n = 3. 86P P equals 3. 86 over n n equals 3. 86 over P P = 3. 86n.
Answer:
Total = ($3.86)n, but it ids not among the answer options.
Step-by-step explanation:
P would be equal to the price per pen set ($3.86) times the number of pen sets sold, n.
Total, P = ($3.86)n
I translated the paragraph into these options:
n = 3. 86P No, n = P/3.86
P = 3. 86/n No, P = 3.86n
n = 3. 86/P No, n = P/3,86
P = 3. 86n.
Which property of equality should Wade use to solve the equation StartFraction x Over 6 EndFraction = 3?
The property of equality Wade would use to solve the equation StartFraction x Over 6 EndFraction = 3 is multiplication property of equality.
Given:
StartFraction x Over 6 EndFraction = 3
x / 6 = 3
apply multiplication property of equality by crossing multiply
x = 3 × 6
x = 18
check:
x / 6 = 3
18 / 6 = 3
3 = 3
Therefore, the property of equality Wade would use to solve the equation StartFraction x Over 6 EndFraction = 3 is multiplication property of equality.
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Answer:
C) Multiplication property of equality.
Step-by-step explanation:
Did the test, but it's because to cancel the division, you need to multiply. in this case, they'd multiply by six to cancel the fraction or x/6.
x/6=3
x/6x6=3x6
x=18
hope this helps
Simplify.
8^15÷8^−3
Enter your answer as a number to a power, using the ^ symbol to indicate exponents. For example, to enter 4253, type it like this: 42^53
PLEASE THIS HAS TAKEN ME AN ENTIRE DAY I HAVE NO IDEA HOW TO DO THIS
Answer:
[tex]8^{18}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]8^{15}[/tex] ÷ [tex]8^{-3}[/tex]
= [tex]8^{(15-(-3))}[/tex]
= [tex]8^{(15+3)}[/tex]
= [tex]8^{18}[/tex]
The simplified form is 8^18
What are Exponents?The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.
Properties of ExponentsThe properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered as major exponents rules to be followed while solving exponents. The properties of exponents are mentioned below.
Law of Product: am × an = am+nLaw of Quotient: am/an = am-nLaw of Zero Exponent: a0 = 1Law of Negative Exponent: a-m = 1/amLaw of Power of a Power: (am)n = amnLaw of Power of a Product: (ab)m = ambmLaw of Power of a Quotient: (a/b)m = am/bmGiven:
8^15÷8^−3
Using
a^m / a^n = a^( m-n)
So,
8^15÷8^−3
=8^(15-(−3))
=8^(15 +3)
=8^18
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Evaluate the equation:
4z = 10
z =
Answer:
z = 2.5
Step-by-step explanation:
4z = 10
---- -----
4 4
z = 2.5
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆TOP and ∆ZAP
[tex]\because\sf\begin{cases}\sf <O\cong <A(Given)\\ \sf TO\cong AZ(Given)\\ \sf <TPO\cong <ZPA(Opposite angles)\end{cases}[/tex]
Hence
∆TOP[tex]\cong[/tex]∆ZPA(Side-Angle-Side)
Step-by-step explanation:
Statement Reason
∠O ≅ ∠A Given
TO ≅ AZ Given
∠OPT and ∠ZPA are vertical angles Vertical angles theorem
∠OPT ≅ ∠ZPA Definition of vertical angles
ΔTOP ≅ ΔZAP Angle - angle -side AAS postulate
A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, how much area do the pool and walkway cover?
Answer:
124 tiles
Step-by-step explanation:
2(20+40)
2(60)
120+4=124
What’s
9 times 13 1/2
Answer:
answer is 121.5
Step-by-step explanation:
Answer:
121.5
Step-by-step explanation:
first make 13 1/2 into a mixed fraction which is 27/2 then multiply by 9/1 you should get 243/2 and once you divide, you should have 121.5
A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 3 inches. A random sample of 41 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)
Answer:
0.5160
Step-by-step explanation:
Let us assume that the length of fishes in the tank is normally distributed. Thus, x is the random variable representing the length of fishes in the tank. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
number of samples
From the information given,
µ = 15
σ = 4
n = 31
We want to find the probability that x is between (15 - 0.5) inches and (15 + 0.5) inches. The probability is expressed as
P(14.5 ≤ x ≤ 15.5)
For x = 14.5
z = (14.5 - 15)/(4/√31) = - 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.2420
For x = 15.5
z = (15.5 - 15)/(4/√31) = 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.7580
Therefore,
P(14.5 ≤ x ≤ 15.5) = 0.7580 - 0.2420 = 0.5160
Is 0.5 x 10^4 = 50,000? or 5,000? PLEASE SOMEONE HELP ME WITH THISS. Just tell me if is one of those!! If you see this help me rn bc i gotta do this rn LOL
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\boxed{\mathbf{0.5\times10^4}}\\\large\boxed{\mathbf{= 0.5\times10\times10\times10\times10}}\\\large\boxed{= \mathbf{0.5\times100\times100}}\\\large\boxed{= \mathbf{0.5\times 10,000}}\\\large\boxed{\mathbf{= 5,000}}\\\\\huge\text{Therefore, your answer should be: \boxed{\textsf{5,000}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
If the slope of a line is 2/3 and one point is (1, 1), what could be another point?
Answer:
(3,4)
Step-by-step explanation:
My old teacher taught me a trick for this. Treat the first number like the y and the second like the x. Count Accordingly from there.
= 82.2×3.6 Show your working out
Her Packet.pdf + 127% 7. Approximately 4% of the population has blonde hair, and 10% of the population has blue eyes. If 75% of people with blonde hair have blue eyes, what percent of the population has blue eyes without blonde hair? Show your work.
Using proportions, it is found that 7% of the population has blue eyes without blonde hair.
10% of the population has blue eyes. These 10% are composed by:
75% of 4%(have blonde hair).x% of 96%(do not have blonde hair)Hence, the relation according to the proportion of 10% is:
[tex]0.75(0.04) + 0.96x = 0.1[/tex]
[tex]x = \frac{0.1 - 0.75(0.04)}{0.96}[/tex]
[tex]x = 0.0729[/tex]
Out of the entire population:
0.0729(0.96) = 0.07
7% of the population has blue eyes without blonde hair.
You can learn more about proportions at https://brainly.com/question/24372153
2. The graph represents the amount
of water, y, left in a 13.5-gallon tub
after x minutes. What is the slope of
the line? What does the slope mean
in this context?
Answer:
Slope: -3/2
With the question, we can determine that the slope with two points: (0,13.5) and (9,0). To calculate use the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and get [tex]\frac{0-13.5}{9-0} =\frac{-13.5}{9} =\frac{-3}{2}[/tex]
This slope means that the water is decreasing at a rate of 3/2 gallons per minute.
estimate the area hurry.
Answer:
32.5 and 30
Step-by-step explanation:
I counted the unit squares one by one.
Hope this helped! :)
Answer 1-2 no links or reported.
Answer:
1
Step-by-step explanation:
PLEASE HELPPPP! ANYTHING U CAN ANSWER WOULD BE SOOO GREAT :) (AND NO ITS NOT A VIRUS)
Answer:
but what if it is a virus?
Step-by-step explanation:
Answer:
isnt oit iron pick
Step-by-step explanation:
Help me Please no bots I need help
Answer:
y = 2/3x + 3/2
Step-by-step explanation:
18 inches is 3/2 feet. 8 inches is 2/3 feet.
The equation will have a slope of 2/3 ft per year, and an initial value of 3/2 ft.
y = 2/3x + 3/2
If 3x is one factor of 3x2 – 9x, what is the other factor?
A.)3x
B.)x^2-6x
C.)x-3
Д.)x+3
Step-by-step explanation:
3x²-9x3x(x-3)So another factor is option C.)
So another factor is option C.)(x-3)
Please guys the surface area of the pyramid... I will mark you brainliest
Answer:
I can answer this but all you have to do is get the length, weight, and height and multiply it. I was going to do it but I could it find the height, and width.
Which statement is true about the relationship between the amount of plant food remaining and the number of days
Answer:
This relationship is not a function because more than one amount of plant food remains each day.
Step-by-step explanation:
i hope this is correct but sorry if im wrong
Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many tala would she get if she exchanged $6?
Answer:
18 Tala
Step-by-step explanation:
6/2= 3
3*6= 18
18 Tala
Iain serves 3 cups of coffee every 4 minutes.
Answer:
but how many people does she serve
Simplify the expression. Explain each step 7(4y)
Answer: 28 y
Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y
Reed compró 1.8 libras de frijoles. Los frijoles cuestan
$1.27 por libra. ¿Cuál fue el precio total de los frijoles que compro Reed?
Answer:
1.27? :v
Step-by-step explanation:
porque la libra cuesta 1.27 y el solo compro 1.8? la verdad no tiene sentido esta pregunta o quizas abra que hacer una ecuacion...en fin suerte.
The Kennedy High School band has 117 members. The band
director is planning rectangular formations for the band.
What formations could he make with all the band members?
Answer:
1×117, 3×39, 9×13, 13×9, 39×3, 117×1
Step-by-step explanation:
The prime factorization of 117 is ...
117 = 3²·13
Divisors of 117 are 1, 3, 9, 13, 39, 117. Possible formations would be ...
1×117, 3×39, 9×13, 13×9, 39×3, 117×1
PLEASE PLEASE HELP
ME!!!
Can someone plz help me?
Answethe answer is 12
Step-by-step explanation
Answer:
13 i think
Step-by-step explanation:
if x is 4 and you div then it become 3 then you square the other 3 thats 9 then you add and boom its 13
3-(-5)=3+?
Not sure what this was
Answer:
5
Step-by-step explanation:
3 - ( - 5 )
= 3 + 5
3 + ? = 3 + 5
? = 5