Answer:
1 / 3^2 = 1/9
Step-by-step explanation:
3^-5 = 1/3^5
(1/3^5) * (3^3) = 3^3 / 1/3^5 = 3^3 / 3^5 = 1/3^2
The value of the given expression is 1/9 .
Given,
[tex](3^{-5}) (3^{3} )[/tex]
According to the power rule,
[tex](a^{m}) (a^{n} ) = a^{m + n}[/tex]
Now,
[tex](3^{-5}) (3^{2}) = 3^{-5 + 3}\\ \\ (3^{-5}) (3^{2}) = 3^{-2}[/tex]
[tex](3^{-5}) (3^{2}) = 1/3^{2}[/tex]
[tex](3^{-5}) (3^{2} ) = 1/9[/tex]
Thus with the power rule answer will be 1/9.
Learn more about power rule,
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What does the Safe Place sign indicate?
Safe Place logo
This is a place where pets can be brought in a crisis
This is a place where adults can go in a crisis
This is a place where kids can go in a crisis
This is a place where members can go in a crisis
Answer:
This a place where kids can go
Step-by-step explanation:
in crisis
Answer:
This is a place kids can play
Step-by-step explanation:
In crisis
Kim, Jenny, and Wendy are basketball players. Each plays a different position (guard, forward, and center) and wears a different number (30, 32, and 35). Kim and number 30 are too small to play center. Number 35 in the center. Neither Kim nor Wendy is the forward. Who plays guard, and what uniform number does she wear? Be sure to check both answers. A.30 B.Wendy C.Jenny D.Kim E.35 F.32
Answer:its f
Step-by-step explanation:
the only answer left i hope this helps =)
Two trains travelling along parallel tracks in the same direction do 50 km/h and 100 km/h on average. The faster train starts 2 hours later than the slower. After how many kilometres will the faster train catch up?
Answer:
200 kmStep-by-step explanation:
Let the faster train catches the slower one after x hours.
The distance the trains travel is same:
50(x + 2) = 100x50x + 100 = 100x50x = 100x = 2The distance is:
50*(2 + 2) = 100*2 = 200 kmjoey enter a hot dog eating competition. He ate 30 1/2 hot dogs in 3/4 minutes. How many hot dogs did he eat in one min.
8 and 2/15
TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
In the function y=f(x), y varies inversely with the square of x and when x=4, y=1/2. Find y when x=1.
ok so
y= 4/3x2
Y varies inversely with square of x means
y = k (1/x²) where k is the constant
plug in y =1/3 and x = - 2 in the above equation.
1/3=k (1/{-2}²)
1/3=k (1/4)
multiply with 4 to both sides.
4/3 =k
therefore,
y=4/3 (1/x²) = 4/3x²
A triangle has vertices (1,4),(1,1),and (-3,1). The triangle is dilated by a scale factor of two, then translated five units up, and then rotated 90° counterclockwise about the origin. What are the first roles of the image of the triangle?
The first roles of the image of the triangle are (-13, 2), (-7, 2), and (-7, -6).
Given the coordinates of the vertices (1,4),(1,1), and (-3,1), if the coordinate is dilated by a factor of 2, the resulting coordinates will be gotten by multiplying each coordinate by "2" to have (2, 8),(2,2), and (-6,2).
If it is translated five units up, the resulting coordinate will be gotten by adding 5 to the y-coordinates to have (2, 13),(2, 7), and (-6,7).
If the resulting coordinate is then rotated 90° counterclockwise about the origin, the final position of the vertices will be at (-13, 2), (-7, 2), and (-7, -6).
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A bottle is filled with 4oz of perfume. If 20% of the perfume evaporates, how many ounces remain?
Answer:
The answer will be:- ( 0.8 oz ).
The state of Colorado has 7 representatives in the U.S. House of Representatives. There are a total 435 representatives. What is the percentage of Colorado’s representation?
Answer:
1,61 %
Step-by-step explanation:
Divide the part you want to calculate the percentage of (in this case 7) by the total (435) and multiply by 100
7/435*100= 1,61 %
A world-famous prix fixe menu includes the following choices.
Beverage (choose one): wine, soft drink, coffee, tea, milk, juice, or cappuccino
First course (no choice): baguette, bruschetta, whole roasted garlic, and butter
Second course (choose one): quesadilla, onion soup, salad, Caesar salad, lettuce wedge, spinach salad, or romaine salad
Third course (choose one): rib eye steak, swordfish, rack of lamb, whitefish, grilled chicken, southern fried chicken, lobster, or vegetarian plate
if you choose steak, then choose one of the following: fries, mashed potatoes, creamed corn, spinach, broccoli, or grilled onions
Fourth course (choose one): chocolate cake, cinnamon tart, apple tart, pecan tart, creme brulee, mango sorbet, or chocolate tart
How many different choices are possible?
Using the fundamental counting theorem, it is found that 107,016 different choices are possible.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the beverage, there are 7 options, hence [tex]n_1 = 7[/tex]For the first course, there are no choice, hence an arrangement of 4 options, that is, [tex]n_2 = 4! = 24[/tex]For the second course, there are 7 options, hence [tex]n_3 = 7[/tex]For the third course, there are 7 non-steak options, plus 6 steak options, hence [tex]n_4 = 13[/tex]For the fourth course, there are 7 choices, hence [tex]n_4 = 7[/tex]Then, applying the theorem:
[tex]N = 7(24)(7)(13)(7) = 107016 [/tex]
107,016 different choices are possible.
A similar problem is given at https://brainly.com/question/19022577
what is 5/8 divided 6
[tex]\sf \longmapsto \frac{5}{8} \div6[/tex]
[tex]\sf \longmapsto \frac{5}{8} \times \frac{1}{6} [/tex]
[tex]\sf \longmapsto \frac{5 \times 1}{8 \times 6} [/tex]
[tex]\sf \longmapsto \frac{5}{48} [/tex]
Answer In DECIMAL:
[tex]\sf \longmapsto0.1041[/tex]
Help me answer 5d, thank you!
Answer:
5. is III. Since there is a vertical asymptote at x= -3 and hole at x=0
the probability that a tin of paint is dented is 0.07 out of 3000 tins of paint,how many would you expect to be dented?
Answer:
3000×0.07=210 tins
Step-by-step explanation:
210 tins
Step-by-step explanation:
3000÷100×0.07
=2.1
MARK ME BRAINLIEST PLS!!You spin each spinner once. You get $39 if you spin a 2 and a vowel. You get $26 if you spin a 2 and a consonant. You get $9 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game? Round your answer to the second decimal if necessary
The expected value of the game is the mean value of the game
The expected value of the game is $9
For the first spinner;
The probability to spin 2 is 1/4The probability to spin 1 is 3/4For the second spinner;
The probability to spin a vowel is 1/4The probability to spin a consonant is 3/4So, the probability of spinning a 2 and a vowel is:
[tex]\mathbf{P(2\ and\ vowel) = \frac 14 \times \frac 14 = \frac{1}{16}}[/tex]
The earning for spinning a 2 and a vowel is $39.
So, the expected earning is:
[tex]\mathbf{Expected = 39 \times \frac{1}{16} = 2.4375}[/tex]
So, the probability of spinning a 2 and a consonant is:
[tex]\mathbf{P(2\ and\ consonant) = \frac 14 \times \frac 34 = \frac{3}{16}}[/tex]
The earning for spinning a 2 and a consonant is $26.
So, the expected earning is:
[tex]\mathbf{Expected = 26 \times \frac{3}{16} = 4.875}[/tex]
So, the probability of spinning a 1 and a vowel is:
[tex]\mathbf{P(1\ and\ vowel) = \frac 34 \times \frac 14 = \frac{3}{16}}[/tex]
The earning for spinning a 1 and a vowel is $9.
So, the expected earning is:
[tex]\mathbf{Expected = 9 \times \frac{3}{16} = 1.6875}[/tex]
So, the expected value of the game is:
[tex]\mathbf{Game =2.4375+ 4.875 + 1.6875}[/tex]
[tex]\mathbf{Game =9}[/tex]
Hence, the expected value of the game is $9
Read more about expected values at:
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2 2/3, 2 6/15, 2 3/5, 2 4/9 sorted from least to greatest
Answer:
2 6/15, 2 4/9, 2 3/5, 2 2/3.
Answer:
2 6/15, 2 4/9, 2 3/5, 2 2/3
Step-by-step explanation:
2 6/15 = 2 2/5
8/3, 12/5, 13/5, 22/9
120/45, 108/45, 117/45, 110/45
PLS DO THE MATH INT HE PICTURE
Answer:
Area = 100cm²
Perimeter = 48cm
Judy purchased a carpet for $ 233.95 and a table set for $199.08. She received a 25% discount but had to pay 8% sale tax. What is the total price?
Answer:
$350.75
Step-by-step explanation:
ANSWER USING STEPS: y=2/3x-5
¿De qué número es 60 el 80%?
Answer:
48
Step-by-step explanation:
whats the answers can anyone answer this question please
Answer:
1. B
2. A
Step-by-step explanation:
1.
10^{-2} means that you move the decimal back two times
B is the only option that represents that correctly.
2.
5 * 10^{4} = 50000
2.5 * 10^{2} = 250
50000/250 = 200
Out of the options, A is the only option in which the equation also equals 200.
314. Find the area under the graph of f(t) = t/(1+t^2) where t is
between t= 0 and t = x. where a > 0 and a does not equal 1 is
fixed, and evaluate the limit as x → .
Infinity
Answer:
Check the attached image for the sake of my sanity typing integrals in these.
Notes on the red marks.
1. From the first to the second passage I multiplied top and bottom by 2. The bottom one stood outside the integral by linearity, the top got inside to get the derivative of the denominator.
2. Quick y substitution, it's a dy/y which should get integrated as the logarythm of the absolute value. This is a situation where you can skip it since you know that you are dealing with positive values (1 is positive, and 1 plus something squared is even greater than 1 which was positive already).
The area as x diverges also diverges
A parking area that is to be resurfaced is shaped like a trapezoid. The bases are 90 feet and 100
feet, and the height is 30 feet. What is the cost if the price of the resurfacing is $1.10 per square
foot? Answer in a whole dollar amount, without the dollar sign.
Based on the dimensions of the parking area, we know that the cost of resurfacing will be $3,135.
First find the area of the parking area:
Area of trapezoid = (Base ₁ + Base₂) / 2 x Height
= (90 + 100) / 2 x 30
= 2,850 feet²
The cost of resurfacing is:
= Area x cost per square foot
= 2,850 x 1.10
= $3,135
It will cost $3,135 to resurface the place.
Find out more at https://brainly.com/question/12451654.
2 paisa per 2 rupees per month
Answer:
2 paisa per rupees per month
So rate= 2%
Determine the correct equation for the following verbal sentence:
The ticket price, t, for a concert attended by 220 people equals the total revenue, r, divided by the number of people who attended.
a.
t = StartFraction r Over 220 EndFraction
c.
t = 220r
b.
t = 220 - r
d.
t = 220 + r
Answer:
t =
Given:
The total ticket price =t
Total number of people attended the concert = 350
Total revenue = r
To Find:
The expression for finding the t value
Solution:
The ticket price t =
Substituting the total number of people who attended the concert
t =
Step-by-step explanation:
Hope this helps:)
There are 16 girls and 14 boys in Mr. Chay's class. This ratio holds true for the entire school. If there are 1500 students, how many girls attend the school?
Answer:
Step-by-step explanation:
16/(16 + 14) = XX/1500
1500(16) = 30XX
XX = 800 girls
answer:TThe ratio of boys to girls is 12 to 16, 12:16 or 12/16 (all different ways this can be written). The fraction form 12/16 can be reduced by dividing
Plane B is flying 55mph
55
mph
faster than Plane A and can fly 4275
4275
miles in the same amount of time it takes Plane A to fly 4000
4000
miles. Find the amount of time it takes for each plane to travel their respective distances.
Answer:
It takes around 5s for each plane to travel their respective distances.
Step-by-step explanation:
represent each solution on a number line 3
I don't know how to represent it on a nomberline
I
how do you solve this problem lol
If your financial goal is to save at least $40000 in 10 years What would be the least amount of money to save each month
Answer:
$334 to the nearest dollar.
Step-by-step explanation:
If you just stuff it under the bed that would be
40000/ 120 (as there are 120 months in 10 years)
= $334.333...
12. Suppose a computer manufacturer has the total cost function C(x) = 65x +3500 and the total revenue function
R(x) = 365x, where x represents the number of computers produced and sold. What is the profit on 326 items?
a. $86,500
b. $101,300
c. $94,300
d. $1,238,800
$143.680
Cost is 65x + 3500 where x is = 326.
65(326) + 3500
21,190 + 3500 = $24,690 is the cost.
Revenue is 365x where x is 326.
365(326) = $118,990
Now we subtract the two:
118,990 - 24,690 = $94,300
This means that the answer is C) $94,300.
I hope this helps! :)
please help me with this
Answer:
14 Is a divident of 7 and 14