Answer:
a
Step-by-step explanation:
the 2 exponents cancel each other out because one is positive and the other is negative, so you are left with 17/16
3x-1/4y=-2 solve for y
Answer:
y= 1/4(2+3x)
Step-by-step explanation:
The solution of the expression for the value of y is y = 8 + 12x.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is 3x-1/4y=-2. The value of y will be calculated as below:-
3x-1/4y=-2
-(1/4)y = -2 - 3x
y = 4 ( 2 + 3x)
y = 8 + 12x
Therefore, the solution of the expression for the value of y is y = 8 + 12x.
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Which description of the transformation of z on the complex plane gives the quotient of 2 = 8(COS(30°) + i sin(30°)) and w = 2(cos(5°) + i sin(5°))?
scale z by a factor of 2 and rotate it 5 degrees clockwise
scale z by a factor of 1 and rotate it 5 degrees clockwise
scale z by a factor of 2 and rotate it 5 degrees counterclockwise
scale z by a factor of 1 and rotate it 5 degrees counterclockwise
The description of the transformation of z on the complex plane gives the quotient is B. scale z by a factor of 1 and rotate it 5 degrees clockwise.
What is a quotient?It should be noted that a quotient simply means the number that obtained when division of numbers takes place.
In this case, the description of the transformation of z on the complex plane gives the quotient of 2 = 8cos30° + i sin30° and w = 2cos5° + i sin5° is to scale z by a factor of 1 and rotate it 5 degrees clockwise.
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What solution to the inequality?
m/-2<10
Answer:
D
Step-by-step explanation:
m/-2 < 10
~Multiply -2 to both sides
m > -20
Best of Luck!
pls anwer quick, i need this before tomorrow
Answer:
a = 0.3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
(5.3a - 0.8) - (1.6 - 4.7a) = 2a - (a - 0.3)
Step 2: Solve for a
Distribute negative: 5.3a - 0.8 - 1.6 + 4.7a = 2a - a + 0.3Combine like terms: 10a - 2.4 = a + 0.3Subtract a on both sides: 9a - 2.4 = 0.3Add 2.4 on both sides: 9a = 2.7Divide 9 on both sides: a = 0.3Step 3: Check
Plug in a to verify it's a solution.
Substitute: (5.3(0.3) - 0.8) - (1.6 - 4.7(0.3)) = 2(0.3) - (0.3 - 0.3)Multiply: (1.59 - 0.8) - (1.6 - 1.41) = 0.6 - 0Subtract: 0.79 - 0.19 = 0.6Subtract: 0.6 = 0.6Here we see that 0.6 does indeed equal 0.6.
∴ a = 0.3 is a solution of the equation.
The base of a triangle is 3 inches more than 2 times the height.If the area is 7 square inches, find the base and the height.
Answer: 6 inches
Step-by-step explanation:
Hope this helped
a) 5x/2+ 1 = 11
b) 2x/7- 3 = 2
Larijah is creating a circular board game with a spinner with four regions that players use to determine what happens on their turns.
She wants to meet these requirements:
- Exactly half of the circle should contain the “Lose a Turn” region.
- “Move One Space” should be two times the angle as “Move Two Spaces”.
- “Move Two Spaces” should be four the angle as “Trade Places With Any Opponent”.
Answer choices:
A)14
B)27
c)48
d)66
E)51
Answer:
A. 14
Step-by-step explanation:
A circle has 360 degrees. Lose a turn region is half, so 180. 360-180=180
If the answer is A, move two spaces region would be 56 degrees because 14*4=56
56+14=70
Move one space is 2 times move two spaces so 56*2=112
112+70=182
182+180=362
182 is the closest you can get to 180 without having a decimal.
Given d=a and bcd=bca prove abc=dbc
Answer:
I'm dead that not even a question
A box contains 5 red and 10 white marbles. If 8 marbles are to be chosen at random (without replacement), determine the probability that (a) 4 will be red, (b) all will be white, (c) at least one will be red.
Answer:
a) 0.0023
b) 0.007
c) 0.993
Step-by-step explanation:
The total number of marbles are;
5 + 10 = 15
Probability of red = 5/15
Probability of white = 8/15
Probability of 4 being red means, 4 will be white too;
Thus, the probability without replacement will be;
5/15 * 4/14 * 3/13 * 2/12 * 10/11 * 9/10 * 8/9 * 7/8 =
0.002331002331 which is approximately 0.0023
b. All white
Here, we have all the marbles selected being white
Thus the probability without replacement will be;
10/15 * 9/14 * 8/13 * 7/12 * 6/11 * 5/10 * 4/9 * 3/8
= 0.006993006993 which is approximately 0.007
c. At least one will be red
Mathematically, that will be;
1 - p(no red)
p(no red) = p(all white)
P(all white) = 0.007
hence P(no red) = 0.007
P(at least one red) = 1 - 0.007 = 0.993
Using the hypergeometric distribution, it is found that there is a:
a) 0.1632 = 16.32% probability that 4 will be red.
b) 0.0070 = 0.7% probability that all will be white.
c) 0.993 = 99.3% probability that at least one will be red.
The marbles are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
There are 15 marbles, hence [tex]N = 15[/tex]There are 5 red marbles, hence [tex]k = 5[/tex].There are 8 marbles chosen, hence [tex]n = 8[/tex]Item a:
This is P(X = 4), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,15,8,5) = \frac{C_{5,4}C_{10,4}}{C_{15,8}} = 0.1632[/tex]
0.1632 = 16.32% probability that 4 will be red.
Item b:
0 red, hence P(X = 0).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,15,8,5) = \frac{C_{5,0}C_{10,8}}{C_{15,8}} = 0.0070[/tex]
0.0070 = 0.7% probability that all will be white.
Item c:
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
From item b:
[tex]P(X \geq 1) = 1 - 0.007 = 0.993[/tex]
0.993 = 99.3% probability that at least one will be red.
A similar problem is given at https://brainly.com/question/24320200
You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 94%, how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 22 years.
Answer:
The sample size is [tex]n = 68 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 5 \ years[/tex]
The standard deviation is [tex]\sigma = 22[/tex]
From the question we are told the confidence level is 94% , hence the level of significance is
[tex]\alpha = (100 - 94 ) \%[/tex]
=> [tex]\alpha = 0.06[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.881[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{1.881 } * 22 }{5} ] ^2[/tex]
=> [tex]n = 68 [/tex]
A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a one-hour flight is .02. a) What is the probability that both will fail?b) Neither will fail?c) One or the other will fail? Show all steps carefully.
Answer:
a) 0.0004
b) 0.9604
c) 0.02
Step-by-step explanation:
When trying to find the probability of a sequence occurring you would simply need to multiply the probability of both of those things occurring together. Since the probability of an alternator failing is 0.02 then the probability of both failing would be...
0.02 * 0.02 = 0.0004
Now the probability of an alternator not failing is 0.98 (100% or 1 minus 0.02) therefore, the probability of both failing would be...
0.98 * 0.98 = 0.9604
Finally, the probability of one or the other failing would simply be the same as the probability of a single alternator failing which is 0.02
Madeline solved this problem: A basketball player made 10 shots and scored 26 points. She made only two-point and three-point shots. How many of each type of shot did she make? Complete the statement about Madeline’s solution. Math item stem image CLEARCHECK In Madeline's solution, 6 is the number of -point shots and 4 is the number of -point shots.
Answer:
six is 3 pointers 4 is the 2 pointers
Step-by-step explanation:
I need to know if this is correct
i thinks its correct.
The cost of a meal at a local restaurant last year was $7.50. This year the meal costs $9.00. What is the percent increase of the meal price from last year to this year?
Answer:
20%
Step-by-step explanation:
Price increase
= 9.00-7.50
=$1.50
Percentage increase
=1.50/7.50 ×100%
=20%
Brenna needed 8 gallons of gas last week. This week, Brenna ended up needing 50% less. How much gas is that? Please answer quickly.
Answer:
4
Step-by-step explanation:
dan deposits $4000 into an account that pays simple interest at a rate of 4% per year. how much interest will he be paid in 6 years
Answer:
$9,600 is what he'll earn in all but the interest that he will earn is $5600
Step-by-step explanation:
To find out the interest earned in all you multiply 4000 times .4 times 6 which is 9600 so if you want to figure out the interest paid it is 9600 - 4000 which is 5600
what is 2 1/4 as a fraction
Answer:2 and 1/4 is = 9/4
Step-by-step explanation:
write y = -2x + 1 in standard form
Answer:
2 x + y = 1
Step-by-step explanation:
Answer:
y = 2x + 1
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Simplify the expression.
9/16q3+9−
12q3
Answer:
haha lol
Step-by-step explanation:
would correct answer be c
Answer:
No, A
Step-by-step explanation:
Relfexive property refers to a mirror. It is a same side or angle shared by two figures.
Gabrielle found a recipe for soup that uses 5/6 cup of milk. If she uses half the recipe how many cups of milk should she use ?
Answer:
5/12 cups of milk.
Step-by-step explanation:
I may have misunderstood the question, but the answer is fairly simple. Let me know if I got it right. Hope I could help :)
i need help finding x
Answer: x = 6
ΔABC is a isosceles triangle at A
=> m∠B = m∠C
=> 4x + 56 = 80
⇔ 4x = 80 - 56 = 24
⇔ x = 24/4 = 6
Step-by-step explanation:
(19, 18)
(6, 16)
(19, 8)
Is this relation a function?
Need help asap isnt hard i just dont understand
Answer:
The answer is b. 35.5
Step-by-step explanation:
angle bisector always bisects an angle in to half amd in the question you have been told to tell the value of one half of the angle abc so the half of 71 would be 35.5
A landscaping company bought 732 kilograms of mulch. If they bought 40 bags of mulch in all, what is the mass of each bag?
what is the probability of spinning a spinner with 4 equal sections labeled 1, 2, 3, and 4 and landing on either 1 or 4
Answer:
the probability is 2 out of 4
Step-by-step explanation:
Helpppppppp meeeeee plsssssss
Answer:
I can't fully tell u the answer because it's through a screen but I do know that it would be an obtuse angle over 90 degrees
NEED HELPPPPPPPPPP !
Answer:
5
Step-by-step explanation:
trust me im the smartest guy in the world
Jackie has $36 in her purse. This is 75% of all the money she has from babysitting
this week. How much money does she have in total?
А
$9
B $12
C $27
D) $48
Answer:
the answer is D. $48
Step-by-step explanation:
All you have to do is divide 36 by 75%,
so put 36 ÷ 0.75 into your calculator and 48 is your answer!
You also could've done a process of elimination.
A, B, and C are clearly not the answer bc Jackie already has $36 in her purse and the question tells us that the $36 is only 75% of all the money she has, so we are looking for a number bigger than 36.
Soooo, D. is our only logical answer since it is $48 and the last time checked 48 is greater than 36.
hope this helps!!!
Answer:
Please like this
Step-by-step explanation:
money money
Simplify your answer and keep improper, if necessary
8
7
⋅
4
1
Answer:
Кинокомпания «Русское» создана в 2007 году продюсером Ириной Смирновой. В числе самых известных проектов ... 8 7 .
Step-by-step explanation:
Answer:
3567
Step-by-step explanation:
87*41= 3567