Answer:
b^(-6)
Step-by-step explanation:
The numerator of this fraction is b^(-11). The -11 is the sum of -4 and -7.
The denominator is b^(-5).
Recall that b^a / b^c = b^(a - c). Thus, b^(-11) / b^(-5) = b^(-6)
I NEED HELP ASAP GEOMETRY 10TH GRADE
Answer:
4
Step-by-step explanation:
1. AB:BC is 1:2
2. Add the 1 and the 2
(3)
3. Find the distance between -7 and 26
26-(-7) = 33
4. Divide the distance by 3
33/3 = 11
5. Find the distance from A---->B
-7 + 11 = 4
A circular flower bed is 23 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π.
Answer: 244.92 m
Step-by-step explanation:
The area of a circle is pir^2. First you will need to find the area of the concrete and subtract the area of the flower bed from that amount. The concrete is 3 feet wide so you will add that to 11.5 (half of the flower bed diameter) to find the radius. 14.5^2 pi is the entirety of the area. Then subtract 11.5^2 pi for the area of the concrete.
A cylindrical well has a radius of 10 feet and a height of 15 feet. What volume of water will it take to fill the well?
Answer:
volume = 4710 ft³
Step-by-step explanation:
base area = πr² = (3.14)(10²) = 314 ft²
volume = base area x height = 314 x 15 = 4710 ft³
Find the solution to the system of equations. Please Help
Answer:
x=−2
y=−4
Step-by-step explanation:
−2x+2y=−4
3x+3y=−18
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
−2x+2y=−4,3x+3y=−18
To make −2x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by −2.
3(−2)x+3×2y=3(−4),−2×3x−2×3y=−2(−18)
Simplify.
−6x+6y=−12,−6x−6y=36
Subtract −6x−6y=36 from −6x+6y=−12 by subtracting like terms on each side of the equal sign.
−6x+6x+6y+6y=−12−36
Add −6x to 6x. Terms −6x and 6x cancel out, leaving an equation with only one variable that can be solved.
6y+6y=−12−36
Add 6y to 6y.
12y=−12−36
Add −12 to −36.
12y=−48
Divide both sides by 12.
y=−4
Substitute −4 for y in 3x+3y=−18. Because the resulting equation contains only one variable, you can solve for x directly.
3x+3(−4)=−18
Multiply 3 times −4.
3x−12=−18
Add 12 to both sides of the equation.
3x=−6
Divide both sides by 3.
x=−2
The system is now solved.
x=−2,y=−4
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!
Answer:
C
Step-by-step explanation:
first multiply the numerator you will get 729multiply the denominator you get 6561then simplify your answersStep-by-step explanation:
3⁶/3⁸
= 3 × 3 × 3 × 3 × 3 × 3/ 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3
= 1/ 3 × 3
= 1/9 (option C)
= 1/3²
= (1/3)² (option D)
= 3-² (option B)
One bead for every member of the school orchestra is placed in a bag. All but 2 of the beads are white. Each member draws a bead from the bag, and the members who pick the non-white beads will represent the orchestra. It is predicted that two different instrument players will choose the white beads.
We are to say whether the conclusion is valid.
Answer:
Statement is valid.
Step-by-step explanation:
We are told that One bead is placed in a bag for every member of the school orchestra.
Also that all the beads except for 2 are white. Now, each member takes a bead from the bag and those who lick the non-white will represent the orchestra.
This tells us that this is an unbiased sample because it doesn't give anyone a better chance of picking non-white as every member of the school orchestra has an equal chance since it is randomly selected.
Thus, we can conclude that the statement that two different instrument players will choose the white beads is valid because we are dealing with an unbiased and simple random sampling
Jon drove 365 miles on 20 gallons of gas. How many miles did he get per gallon?
Show work pls (no links)
Answer: he drove 18.25 miles per gallon
Step-by-step explanation:
365/20=x/1
20x=365
x=18.25
Adult tickets to Space City Amusement park cost x dollars. Children's tickets cost y dollars. The Henson family bought 3 adult tickets and 1 child ticket for $163. The Garcia family bought 2 adult tickets and 3 child tickets for $174. Which equation represents the Hensons' cost?
3x+y=163 2x+3y=174
it should be like this {: and each point is one.
giving brainliest! show some work too tysm !
Answer:
the third choice is the answer.
Step-by-step explanation:
the chance of recieve a blue pen
= 0.008
the chance of recieve a blue tote bag
= 0.04
0.008 < 0.04
Over a two week period you worked 7 1/2 hrs a day for 8 days. You earn $11.50 an hour. How much money did you earn in your paycheck after $3 was taken out for taxes?
Answer: [tex]\$687[/tex]
Step-by-step explanation:
Given
Working hours are [tex]7\ \frac{1}{2}[/tex] for 8 days
Money earned is $11.50 an hour
Total working hours
[tex]=\dfrac{7\times 2+1}{2}\times 8=\dfrac{15}{2}\times 8\\\\=60\ hr[/tex]
Money earned
[tex]=60\times 11.50=\$690[/tex]
After-tax deduction
[tex]\Rightarrow 690-3=\$687[/tex]
Answer:
Step-by-step explanation:
Belinda has 7 pieces of wood. Each piece of wood measures 3/4 yards. How many yards of wood does she have all together?
Answer:
each wood is 3/4 and there is 7wood so it's 7*3/4
Step-by-step explanation:
7×3/4
=21/4
Find the area of the shaded region. Round to the nearest tenth if necessary.
22 cm
15 cm
31 cm
Answer:
[tex]area = area \: of \: trapezium + area \: of \: semi - circle \\ but \: height = \sqrt{ {15}^{2} - {(31 - 22)}^{2} } = 12 \: cm \\ area = \frac{1}{2} h(a + b) + \frac{1}{2} \pi {r}^{2} \\ = ( \frac{1}{2} \times 12 \times (22 + 31)) + ( \frac{1}{2} \times \frac{22}{7} \times ( \frac{12}{2} ) {}^{2} ) \\ = 318 + 56.57 \\ = 374.6 \: {cm}^{2} [/tex]
PLEASE HELP
Which of the following are true if event A and B are independent
Answer:
a) [tex]P(B/A) = P(B)[/tex]
Step-by-step explanation:
Step(i):-
Given that A and B are independent events
P(A∩B) =P(A) P(B)
we will use the conditional probability
[tex]P(A/B) = \frac{P(AnB)}{P(B)}[/tex]
or
[tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]
Step(ii):-
Given that A and B are independent events
P(A∩B) =P(A) P(B)
[tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]
[tex]P(B/A) = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]
[tex]P(B/A) = P(B)[/tex]
pls help me with 3,4, and 5
Answer:
#3 C. Subtract 11
#4 D. Subtract 10
#5 A. Add 9
Answer:
Step-by-step explanation:
3) Subtract 11
25-11=14
42-11=31
42-11=31
50-11=39
59-11=48
4) Subtract 10
26-16=10
32-10=22
44-10=34
48-10=38
55-10=45
5) Add 9
10+9=19
22+9=31
23+9=32
24+9=33
46+9=55
Tessa and Kari are swimming partners in series of practice swims they each swim longer and longer distances without changing pace they each set up a table to show the ratios of distance to time for their swims.
Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in the second hour, she traveled at a speed of 65 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent
Answer:
There was a %5 increase
Step-by-step explanation:
You just have to substract 65-60 and you get 5
Sara is packing for vacation she is taking three shirts: yellow (y) white (w) and green (g) she is also taking a pair of jeans (j) a pair of black pants (b) and pair of shorts (s) for shoes, she is packing tennis shoes (t) and a pair of dress shoes (d) each outfit will be made of 1 shirt 1 pair of pants and 1 pair of shoes
Answer:
She has 18 combinations to choose from
Step-by-step explanation:
The tree diagram is as follows
yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║
white (w) ⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║
green (g)⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
Sara has 3 shirts 3 (pants+ shorts) and 2 shoes to choose from
She has 3*3*2= 18 combinations to choose from
A video game is in high demand and the store can't keep them in stock. Instead of selling it for $60 they markup the price 17%. What is the new price after the markup?
Answer:
$70.20
Step-by-step explanation:
60 x 1.17 = 70.20
Mr. Brown owns a hardware company and has two trucks that are used to carry supplies. Truck A can carry a total of 3.45 tonnes and truck B 1500kg. What is the combined weight in kg? *
Answer:
4950kg
Step-by-step explanation:
Please solve 64^x=4096
Answer:
2
Step-by-step explanation:
64x64=4096
So its 64^2=4096
Answer:
x=2
Step-by-step explanation:
Given: 64ˣ=4096
Take the logarithm of each side: log₆₄(64ˣ)=log₆₄(4096)
Final answer: x=2
Find the zeros of the following factored quadratic function.
f(x) = (9x - 1)(7x - 3)
Answer:
63x^2-34x+3
Step-by-step explanation:
85
68
Find the value of the missing angle
Answer:
153
Step-by-step explanation:
68+85+x =180
68+85=153
180-153=27
180-27=153
Plzzzzzz help!!!!!!!!
Help me please!!!!!
A bag contains 6 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, , that all three marbles drawn will be green?
Answer:
Step-by-step explanation:
Not large
Total number of marbles = 4 + 7 + 6 = 17
Number of green marbles = 7
Probability of first marble being green = 7/17
Probability of the second marble being green = 6/16
Probability of the third marble being green = 5/15
Probability (3 green) = 7 / 17 * 6/16 * 5/15 = 210 / 4080 = 0.05147
Hallar la ecuación de la recta que pasa por el punto P(-3,-1) y por el punto de intersección de las rectas 2x − y = 9 y 3x − 7y = 19
Answer:
y = -1
Step-by-step explanation:
The standard form of equation of a line is y = mx+b
m is the slope
b is the y intercept
Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19
Make y the subject of the formula in both expressions
For 2x - y = 9
- y = 9- 2x
y = 2x - 9
Similarly for 3x - 7y = 19
-7y = 19 - 3x
7y = 3x - 19
y = 3/7 x - 19/7
Equating both expressions
2x - 9 = 3/7 x - 19/7
Multiply through ny 7
14x - 63 = 3x - 19
14x - 3x = -19 + 63
11x = 44
x = 44/11
x = 4
Since y =2x - 9
y = 2(4) - 9
y = 8-9
y = -1
Hence the coordinate of intersection is at (4, -1)
Get the equation of the line passing through (-3, -1) and (4, -1)
Slope m = -1+1/4+3
m = 0/7
m = 0
Get the intercept
Substitute m = 0 and (-3, -1) into y = mx+b
-1 = 0(-3) + b
-1 = b
b = -1
Get the required equation
Recall that y = mx + b
y = 0x + (-1)
y = -1
Hence the required equation is y = -1
PLEASE HELP
A mouse is trapped in a maze. To find his way out, he walks 15 m, makes a 90° left turn, walks 8 m, makes another 90° left turn, and walks 10 m. What is the magnitude of the resultant vector?
Plsss help ASAP
Will mark brainleist
Answer:
hello! Your answer would be, 1: B) AND 2: D)
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?
Answer: 80
Step-by-step explanation:
24 = 30%
48 = 60%
72 = 90%
24/3 = 10% = 8
72 + 8 = 80
help pls! i don't understand