Answers
Answer:
n = 2
Step-by-step explanation:
Given equation:
[tex]\left(\dfrac35\right)^2 \times 25=3^n[/tex]
[tex]\textsf{Apply exponent rule }\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c} :[/tex]
[tex]\implies \left(\dfrac{3^2}{5^2}\right) \times 25=3^n[/tex]
[tex]\textsf{Apply}\: \left(\dfrac{a}{b}\right) \times c=\dfrac{ac}{b} :[/tex]
[tex]\implies \dfrac{3^2\cdot 25}{5^2}=3^n[/tex]
[tex]\textsf{Apply}\:5^2=5 \times 5=25:[/tex]
[tex]\implies \dfrac{3^2\cdot 25}{25}=3^n[/tex]
Cancel the common factor 25:
[tex]\implies 3^2=3^n[/tex]
[tex]\textsf{If}\:a^{f(x)}=a^{g(x)},\:\textsf{then}\:f(x)=g(x) :[/tex]
[tex]\implies 2=n[/tex]
Answer:
n = 2
Step-by-step explanation:
Hello!
Step 1: Expand the fractionWe can use the exponent rule to square 3/5.
([tex]\frac35[/tex])² = [tex]\frac{3^2}{5^2}[/tex][tex]\frac{9}{25}[/tex]Step 2: SimplifyNow, we can multiply
[tex]\frac{9}{25} * 25 = 3^n[/tex][tex]9 = 3^n[/tex]Now, we need to find how many times 3 is multiplied to get 9 ,and that would be 2
Related Questions
Which graph represents the function
Answers
Step-by-step explanation:
Your graph will have a vertical asymptote at x = 1, as the denominator x - 1 cannot equal zero. Therefore, f(1) is not posssible. Then, plugging in test values for the function on the left side of the asymptote...
[tex]f(-1) = \frac{2(-1)-1}{-1-1} = \frac{3}{2}\\f(0) = \frac{2(0)-1}{0-1} = 1\\f(2) = \frac{2(2)-1}{2-1} = 3\\f(3) = \frac{2(3)-1}{3-1} = \frac{5}{2}[/tex]
... you will find that your graph needs to include the following points:
[tex](-1, \frac{3}{2})\\(0, 1)\\(2, 3)\\(3, \frac{5}{2})[/tex]
So therefore, your graph must cross through the above points, and may never cross the vertical line x = 1.
The dimensions of a cone are shown in the figure below. What is the approximate volume, in cubic centimeters, of the cone?
Answers
Answer:
B or 415
Step-by-step explanation:
the volume of a cone is given by the formula V = (pi × r^2 × h/3)
where,
V = volume of the cone,
r = the radius of the cone,
h = the height of the cone.
so by just plugging in the values we get the answer which is 415
if you need any further guidance make sure to ask. :)
The Volume of Cone is 414.48 cm³.
What is Volume?Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.
We have,
radius = 6 cm
height = 11 cm
Now, slant height
= √r² + h²
= √11² + 6²
= √121+ 36
= √157
= 12.52 cm
Now, Volume of cone
= 1/3 πr²h
= 1/3 (3.14)(6)²(11)
= 1/3 (3.14)(36)(11)
= 414.48 cm³
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ7
Question
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Volume = 250 ft³
h is unknown
8 ft is the diameter
Answers
Answer:
H = 5.0
Step-by-step explanation:
Using the formula
[tex]V=\pi r^{2} h[/tex]
Solving for h
[tex]h =\frac{V}{\pi r^{2} } =\frac{250}{\pi *4^{2} }\neq 4.97359[/tex]
Round to the nearest tenth
[tex]5.0[/tex]
WILL MARK BRAINLIST!!!
Answers
Answer:
7 hrs 42 mins
SAnswer: 7 hrs 42 mins
Step-by-step explanation:
San Antonio to Houston 3 1/3
Houston to Dallas 4 1/12
3 1/3 + 4 1/12=10/3+48/12=89/12=75/12
7 5/12= 7.4166667
= 7hrs and 42 minstep-by-step explanation:
Will mark brainlyest! Please help.
Answers
90° around the origin
hope it helps...!!!
On his first birthday, Tomás was 30 inches tall. For the next year, he grew half an
inch each month. What equation models his height during that year, y, as a
function of the number of months, x?
Answers
Answer:
[tex]y = \frac{1}{2} x + 30[/tex]
Step-by-step explanation:
y = mx + b
y is his height during that year
x is the number of months
m is the slope or rate of change, which is 1/2 inch every month
b is the y-intercept, which is 30 inches
plug everything in then you get:
y = 1/2x + 30
Answer:
y = 1/2 x + 30
Step-by-step explanation:
I took the quiz! :)
When looking for the range of a graph, what values are you looking for?
Answers
Answer: So Remember that the range is how far the graph goes from down to up. Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y = 1 y=1 y=1.
Calculator
What is the surface area of the square pyramid represented by
the net?
Answers
Answer:
Right square pyramid
Step-by-step explanation:
A=a2+2aa2
4+h2
(4) Each shelf in Brandon's library is 60 cm wide and has 15 books. There are 8 shelves of fiction books and 7 more shelves with non-fiction books. How many books are there in all?
Answers
Answer:
225 books
Step-by-step explanation:
you do 15 x 8 and you get 120 then you do 15 x 7 and you get 105 then you add 120 and 105 together and your final answer is 225 books
Answer:
ANswer: 225
Step-by-step explanation:
multiply: 15 x 7 = 105 & 15 x 8 = 120
now add " 105 + 120" together
Total: (See answer above)
Condos in Padre Island increase in value by 7% each year. If the Garza's family's condo is now worth
$150,000, what will it be worth in 8 years (Round to the nearest cent) ? TEKS A2.5(B)(D)
Answers
The numbers of runs scored by a baseball team over nine games is shown below.
Answers
Answer:
C
Step-by-step explanation:
The avg is about 3.6
AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides AB in a 1:2 ratio?
Answers
Answer:
Calculate the x distance from A to B and the x distance from A to X and verify that the x distance from A to X is 1/3 of the x distance from A to B.
Calculate the y distance from A to B and the y distance from A to X and verify that the y distance from A to X is 1/3 of the y distance from A to B.
Step-by-step explanation:
Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?
20 ≤ x ≤ 400
40 ≤ x ≤ 100
50 ≤ x ≤ 400
50 ≤ x ≤ 100
Answers
And maximum he can sell is 100 books cause thats all he got.
help please, i will mark as brainliest
Answers
Answer:
-2, -1, or 0
Step-by-step explanation:
Since we are finding the value of n we have to look at what it cant equal. Since n is not equal to -3 or 1 and is inbetween those values n has to be between -3 and 1, this leaves us with -2, -1, and 0 as possible values. Hope this helped!
Given a sphere with radius r, the formula 4πr2 gives
O A. the volume
B. the surface area
O C. the radius
D. the cross-sectional area
Answers
Answer:
B. The surface area
Step-by-step explanation:
In the figure, AD is perpendicular to BD, AC is perpendicular to BC, and AD ≅ BC.
Which of the following congruences is NOT necessarily true?
∠DAB ≅ ∠CBA
AE ≅ BE
AC ≅ BD
AD ≅ AE
∠EAB ≅ ∠EBA
Answers
Answer:
D) AD ≅ AEStep-by-step explanation:
According to given details the triangles ADB and BCE are congruent as per HL congruence
Lets verify the choices
∠DAB ≅ ∠CBA,
this is true as corresponding angles of congruent trianglesAE ≅ BE,
this is true as AEB is isoscelesAC ≅ BD,
this is true as corresponding sides of congruent trianglesAD ≅ AE,
this is NOT true as AE > AD as hypotenuse of right triangle is greater than legs∠EAB ≅ ∠EBA,
this is true as AEB is isoscelesAnswer:
D) AD ≅ AE
Step-by-step explanation:
Hook me up with a 5 star and a Thanks :)
Mrs Davis invests 15,000 into a savings account that pays 7%interest for 3 years how much interest does mrs Davis earn
Answers
Answer:
3,150
Step-by-step explanation:
The amount of interest earned by the account is found using the interest formula:
I = Prt . . . . where P is the principal invested at rate r for t years
__
Using the given values, we find the interest to be ...
I = 15,000×0.07×3 = 3,150
Mrs Davis earns 3,150 on her investment.
100 points and brainliest please help i only got 10 minutes!
Answers
Answer:
Step-by-step explanation:
(a)
Data Set 1
Mean : 70 + 65 + 72 + 80 + 73 / 5Mean = 357/5 = 71.4Deviation from Mean : 1.4 + 6.4 + 0.6 + 8.6 + 1.6 / 5M.A.D = 18.6/5 = 3.72Data Set 2
Mean : 61 + 47 + 70 + 63 + 54 / 5Mean : 295/5 = 59Deviation from Mean : 2 + 12 + 11 + 4 + 5 / 5M.A.D. = 34/5 = 6.8Comparison
On comparing the Mean Aboslute Deviation values of the two games, it is seen that that the Leaping Lizards game has a higher MAD than the Jumping Jackrabbits game, which means the scores deviate more in the Leaping Lizards game, whereas in the other game it is consistentLeonardo knows it is 42 days until summer break. how many weeks is it until Leonardos summer break?
Answers
Answer: 6 weeks
Step-by-step explanation: 42 days in weeks would be 6 weeks
How do I plot these in order because I’ve tried it multiple times and I cannot get the right answer.
Answers
Answer:
This shape is somewhat like a square, I believe.
Step-by-step explanation:
1st Point: Inside the I quadrant (the top right), by moving 1 1/2 units to the right on the x-axis, and 4 units up.
2nd Point: Inside the IV quadrant (bottom right), by moving 1 1/2 units to the right on the x-axis, and 8 units down.
3rd Point: Inside the IV quadrant (bottom right), by moving 5 units to the right on the x-axis, and 8 units down.
4th Point: Inside the I quadrant, by moving 5 units to the right on the x-axis, and 4 units up.
5, one fifth, negative one fifth or 5, How do i solve this?
Answers
Answer:
[tex]k = \frac{4}{5} [/tex]
Step-by-step explanation:
We know from the graph
[tex]g(x) = - \frac{1}{5} [/tex]
and
[tex]f(x) = 1[/tex]
using the given equation we can solve
[tex] - \frac{1}{5} = k - 1 \\ [/tex]
subtract 1 from both sides so that k is isolated
[tex] \frac{4}{5} = k[/tex]
What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x 12? (–[infinity], –3] [–3, [infinity]) (–[infinity], 15] [15, [infinity])
Answers
The minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).
We have given inequality is
–3(6 – 2x) ≥ 4x + 12
What is the meaning of inequality?
The statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
[tex]-3(6 - 2x) \geq 4x + 12\\-18 + 6x \geq 4x + 12\\6x - 4x \geq 12 + 18\\2x \geq 30\\x \geq 15[/tex]
This means that the minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).
To learn more about the inequality visit:
https://brainly.com/question/24372553
Can someone pls help me with this?? T-T
Answers
Answer:
route c on the way there
route b on thw way back
Step-by-step explanation:
route c is the 2nd shortest distance because you cant take b in the morning
the park is open in the afternoon and its the shortest availiable route back
Can someone help me with this problem?
Answers
Answer:
3 (4+13)
Step-by-step explanation:
The GCF of 12 and 39 in 3 so then you divide 12 and 39 by 3.
A large high school has been waging a campaign against drug use, particularly marijuana. Before the campaign began in
2007, a random sample of 100 students had their lockers checked for drugs. In 27 of the lockers, marijuana was found.
To assess if the program has been successful, another random locker check was conducted in 2017. This time, 30 out of
175 students had marijuana in their lockers. Using a = 0.05, is there evidence to suggest that the proportion of students
who are found with marijuana in their lockers has decreased?
Answers
Using the z-distribution, as we are working with a proportion, it is found that there is evidence that the proportion has decreased.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is still the same, of 27/100 = 0.27, hence:
[tex]H_0: p = 0.27[/tex]
At the alternative hypothesis, it is tested if the proportion has decreased, hence:
[tex]H_1: p < 0.27[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.In this problem, the parameters are as follows:
[tex]n = 175, \overline{p} = \frac{30}{175} = 0.1714[/tex]
Hence, the value of the test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.1714 - 0.27}{\sqrt{\frac{0.27(0.73)}{175}}}[/tex]
z = -2.94.
What is the decision?Considering a left-tailed test, as we are testing if the propoortion is less than a value, the critical value is of [tex]z^{\ast} = -1.645[/tex].
Since the test statistic is less than the critical value for the left-tailed test, it is found that there is evidence that the proportion has decreased.
More can be learned about the z-distribution at https://brainly.com/question/26454209
1. X=7 and y=3
A. X+Y=
B. X+X+Y=
C. 2X+5Y=
D. 8(X+Y)=
E. 15(2X+Y+Y)=
Answers
Answer:
A. 10
B. 17
C. 29
D. 80
E. 300
Step-by-step explanation:
A.
x + y
7 + 3
10
B.
x + x + y
7 + 7 + 3
14 + 3
17
C.
2x + 5y
2(7) + 5(3)
14 + 15
29
D.
8(x + y)
8(7 + 3)
8(10)
80
E.
15(2x + y + y)
15(2(7) + 3 + 3)
15(14 + 3 + 3)
15(17 + 3)
15(20)
300
About 40% of the boys in Walter’s school commute to school by bicycle. What is the probability that you must select at least four boys to find one boy who commutes by bicycle?
Use the table of randomly generated numbers to answer the question. The numbers 0 to 3 represent boys who commute to school by bicycle, and the numbers 4 to 9 represent boys who do not commute by bicycle.
003 448 311 790 832
265 843 608 354 736
578 994 968 895 754
660 340 085 622 968
346 353 312 544 167
978 005 371 146 607
323 337 821 617 892
976 985 448 830 409
549 804 464 597 323
147 317 789 915 267
Based on this data, the estimated probability that it will take at least four boys to find one who commutes by bicycle is (Blank Answer)
Answers
Answer:
The awnser is 0.32
Step-by-step explanation:
Hope this was helpful! Please mark as brainliest, thank you!
The distance from -6 to 1 is 7.
True
False
Answers
Answer:
true
Step-by-step explanation:
-6 to 0 is 6 "steps" on the number line add the one and that is 7
find the volume. please help i’m confused
Answers
Answer:
840in^3
Step-by-step explanation:
0.5 * b * h * length=voulme
HELP!! I NEED HELP WITH MY MATH
Answers
Answer:
partA option B is the correct answer
partB option A is the correct answer