Answer:
19/33
Step-by-step explanation:
57 repeating = 0.57
1. x = 0.57
2. mutiply each side by 10² = 100
100x = 57.57...
3. subtract
x = 0.57 from 100x = 57.57...
and get 99x = 57.
4. solve for x
x = 57/99
5. find the GCF of 57 and 99
57 ÷ 3 = 19
---- --- ----
99 ÷ 3 = 33
6. x = 19/33
question in image will give brain list
Answer:
Step-by-step explanation:
2 pairs of parallel sides
Diagonals bisect eachother
4x = 7 [x3] help meh
Answer:
x = 0
Step-by-step explanation:
4x = 7(3x)
4x = 21x
-4x -4x
17x = 0
what would be the null and alternative hypothesis for testing to see if there is a relatonsip between age and opinion for the question asked by gallup
The null and alternative hypothesis for testing to see if there is a relatonsip between age and opinion for the question asked by gallup is Divorce Opinions and Gender I.
We introduce the results of a
May 2010 Gallup poll of 1029 US adults. When asked if they view divorce as “morally acceptable”,
71% of the men and 67% of the women in the sample responded yes. In the test for a difference in
proportions, a randomization distribution gives a p-value of 0.165. Does this indicate a significant
Solution
If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not
reject H0 : pf = pm. This means the data do not show significant evidence of a difference in the
proportions of men and women that view divorce as “morally acceptable”
Solution
(a) The p-value (0.003) is small so the decision is to reject H0 and conclude that the mean recall
for sleep (¯xs = 15.25) is different from the mean recall for caffeine (¯xc = 12.25). Since the mean
for the sleep group is higher than the mean for the caffeine group, we have sufficient evidence to
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the answer to 2/3 y-3/4=5
Answer:
y= 69/8 or 8 5/8 or 8.625
determine the equations of the lines tangent to 9x2 4y2 18x−16y−11=0 at x = 0. where do these two lines intersect?
The point of intersection of two lines are (11/(12√(11)), 2)
To determine the equations of the lines tangent to the ellipse 9x² + 4y² - 18x - 16y - 11 = 0 at x = 0, we first need to find the y-coordinates of the points of tangent.
To do this, we can use implicit differentiation to find the slope of the tangent line at a given point (x, y) on the ellipse:
18x + 8y dy/dx - 18 - 16 dy/dx = 0
dy/dx = (9x - 8)/(4y - 16)
To find the slope of the tangent line at x = 0, we substitute x = 0 into the above expression and solve for dy/dx:
dy/dx = -2/(y - 2)
At x = 0, the equation of the ellipse reduces to 4y² - 16y - 11 = 0, which can be solved for y using the quadratic formula:
y = [16 ± √(256 + 176)]/8 = 2 ± √(11)
So the two points of tangents are (0, 2 + √(11)) and (0, 2 - √(11)).
The slopes of the tangent lines at these points are:
dy/dx = -2/(2 + √(11) - 2) = √(11)
dy/dx = -2/(2 - √(11) - 2) = -√(11)
Using the point-slope form of the equation of a line, the equations of the tangent lines are:
y - (2 + √(11)) = √(11) x
y - (2 - √(11)) = -√(11) x
To find the point of intersection of these two lines, we can set them equal to each other and solve for x:
√(11) x + (2 + √(11)) = -√(11) x + (2 - √(11))
x = 11/(12sqrt(11))
Substituting x = 11/(12√(11)) into either equation of the tangent lines, we get the corresponding y-coordinate of the point of intersection:
y = √(11) x + 2 + √(11) = -√(11) x + 2 - √(11) = 2
Therefore, the two tangent lines intersect at the point (11/(12√(11)), 2)
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PLEASE HELP ME TO SOLVE THIS QUESTION
3.Xavier's salary increases by 2% each year.
In 2010 , his salary was £40,100
i) Calculate his salary in 2015 and give your answer to the nearest pound.
ii) In which year did Xavier's salary first greater than £47,500
i) Based on exponential growth, Xavier's salary in 2015 is £44,274.
ii) The year that Xavier's salary first became greater than £47,500 would be 2019.
What is exponential function?Exponential functions show the relationship between two variables and a variable exponent with a periodic constant rate of growth or decay in the value of something
Annual increase in Xavier's salary = 2% or 0.02
Xavier's salary in 2010 = £40,100
The number of years between 2015 and 2010 = 5 years
Exponential Function:i) y = £40,100(1.02)^5
= £44,273.64
= £44,274
ii) £47,500 = £40,100(1.02)^t
t = 9 years
= 2019 (2010 + 9)
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help me with this answer please <3
Answer:
(x, y) = (-8, 19)
Step-by-step explanation:
9x + 3y = -15
-4x - 3y = -25
(9x + 3y) + ((-4x) - 3y) = -15 + (-25)
5x = -40
x = -8.
So,
9x + 3y = -15
9 * (-8) + 3y = -15
-72 + 3y = -15
3y = 57
y = 19
10. Edward wants to have $50,000 in 10 years for college. What single deposit would he need to make now into an account that pays 4.3% interest, compounded daily, to meet his goal ?
11. Rhett is about to begin college and has received a 10-year $7,500 Federal Direct Unsubsidized Loan with an interest rate of 6.4%. He will be required to begin making payments six months after graduation. If Rhett decides to capitalize the interest accrued from the time he receives the funds until he begins making payment, how much total interest would he pay on this loan ?
12. Shania bought a $1,972 drum set on the installment plan. The installment agreement included a 20% down payment and 36 monthly payments of $52.04 each. What is the finance charge ?
a) With regard to Edward, single deposit would he need to make now into an account that pays 4.3% interest, compounded daily, to meet his goal is $32,526.67.
b) The total interest that he would pay on this loan is given as follows: $2,160.
c) The finance charge is $295.84
A) Let the Principle be P
amount here A= $50,000
time n= 10 years n= 10 x 36 5= 3650 days
rate of interest= 4.3% compounded daily= 4.3/365
let us use compound interest formula to calculate the principle
A = P (1 + (r/100)ⁿ
putting all the values we get
50000 = P (1 + (4.3/(100 x 365))⁽¹⁰ ˣ ³⁶⁵)
on solving we get P = $32,526.67
therefore he need to deposit $32,526.67
B)
The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation shown as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are explained as follows:
P is the value of the initial deposit.
r is the interest rate, as a decimal.
Considering this equation, the interest accrued is given as follows:
I(t) = Prt.
In the context of this problem, the values of these parameters are given as follows:
P = 7500, r = 0.064, t = 4.5.
Hence the interest accrued on the payment is obtained as follows;
I(4.5) = 7500 x 0.064 x 4.5 = $2,160.
C)
We know that,
Finance charge = Total Amount Paid - Original cost
As the original cost of the drum is = $1972
She paid 20% as down payment. So the amount of down payment is,
1972 x 20/100 = $394.40
She has to pay 36 monthly payments of $52.04 each. So the amount to be paid is,
= 36 x 52.04 = $1873.44
So the total amount paid will be,
= $1873.44 + 394.40 = $2267.84
Therefore, the finance charge is 226.84 - 1972 = $295.84
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Use the conditional statement "If it is January, then there is snow." for questions 17 - 18.
17. Identify the hypothesis:
18. Identify the conclusion:
Answer:
Hypothesis: It is January
Conclusion: There is snow
Step-by-step explanation:
COnditionals are in the form If p, then q.
P is the hypothesis.
Q is the conditional.
If (It is January), then (there is snow).
If and then are not included in the hypothesis and conclusion, respectively.
Hypothesis: It is January
Conclusion: There is snow
What is Hypothesis and Conclusion ?
The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement. The conclusion is the result of a hypothesis. Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. This is noted as. p→q. This is read - if p then q. A conditional statement is false if hypothesis is true and the conclusion is false.
Conditionals are in the form if P, then Q.
P is the hypothesis.
Q is the conclusion.
If It is January, then there is snow.
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Charge Q
1. =6.0nC is at (0.30 m,0), charge Q
2 =−1.0nC is at (0,0.10 m), and charge Q
3 =5.0nC is at (0,0). What is the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges? (k=8.99×10^9 N⋅m^2C ^2 )
The magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.
The value of the net electrostatic force on the 5.0-nC
charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0),
charge Q2 = −1.0 nC is at (0, 0.10 m), and
charge Q3 = 5.0 nC is at (0, 0) can be calculated as follows:
Given data,Charge Q1 = 6.0 nC is at (0.30 m, 0),
Charge Q2 = -1.0 nC is at (0, 0.10 m),
Charge Q3 = 5.0 nC is at (0, 0)
The formula to find out the force on the third charge Q3 is:
F = k * |Q1 * Q3| / r1^2 + k * |Q2 * Q3| / r2^2
Here, k = 8.99 × 10^9 N·m^2/C^2, Q1 = 6.0 nC, Q2 = -1.0 nC, Q3 = 5.0 nC
For the third charge Q3, the distance from Q1 is:
r1 = √(0.3^2 + 0^2) = 0.3 m
And the distance from Q2 is: r2 = √(0^2 + 0.1^2) = 0.1 m
Substituting all the given values in the formula:
F = 8.99 × 10^9 * [ (6.0 × 10^-9 * 5.0 × 10^-9) / 0.3^2 ] + 8.99 × 10^9 * [ (-1.0 × 10^-9 * 5.0 × 10^-9) / 0.1^2 ]F = 6.21 N
Therefore, the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.
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If an oatmeal serving consists of three-quarters of a cup, and there are four servings in a box, how many cups are there in one box of oatmeal?
Answer: 3 cups
Step-by-step explanation:
3/4 x 4/1 = 12/4 simplified to make the denominato to be a 1 so you divide both the numerator, which is 12, and the denominator, which is 4, by 4 so you end up with 3/1 which is 3 cups.
Give an example of an event that is certain and an event that is impossible. What are the probabilities for each event?
Answer:
Thank you for posting your question here at brainly. Feel free to ask more questions.
The best and most correct answer among the choices provided by the question is 0 (zero).
Hope my answer would be a great help for you. 3 to all sorry i can't help you all i try my best tho my goal is to get to 4 brainlyest may 8 if i'm lucky god bless you all stay safe during these tuff times
Answer:
impossible event
people cant live without water
getting both a head and a tail when flipping a coin
obtaining seven on a throw of a die
certain event
it is 2pm now and will be 4pm after two hours
if you are sixteen,the likelihood of your turning seventeen on you next birthday
if it is thursday the probability that tommorow is friday An event that is certain is something that will definitely happen, such as the sun will rise tomorrow, or when rolling a six sided die, it will land on 1 - 6.
Something impossible, includes events that will never happen, such as pig will fly, or when rolling a six sided die, it will land on 7.
2. The experimental probability may be different to the theoretical probability as theoretical probability is only theory, and when trying something out in real life, there is a high chance that it will be different.
Step-by-step explanation:
There is question in my book: Probability of impossible event is?
After reading the question my instant answer was 0 and that was the answer given.
But then i thought other way, question is probability of impossible event, so there are two outcomes possible or impossible (event can be certain or impossible).
Therefore probability of impossible outcome is 12.
Can that also be answer?
If this doesn't help Get Tutor Immediately!
A train travels a total of 38 km at a constant speed of 90 km/h.
How long is its journey? Give your answer in minutes and seconds, to the nearest second. Pls Help Maybe I will give you brainiest
Answer:
25 minutes and 33 seconds
Step-by-step explanation:
please brainiest
a 9 by 12 rectangular piece of paper is folded so that two opposite corners coincide. what is the length of the crease
The length of the crease is 15 cm.When a 9 by 12 rectangular piece of paper is folded so that two opposite corners coincide, the length of the crease is 15 cm. When we fold a rectangular paper so that the opposite corners meet, we get a crease that runs through the diagonal of the rectangle.
In this case, the 9 by 12 rectangle's diagonal can be determined using the Pythagorean Theorem which states that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. In this case, the two sides are the length and width of the rectangle.
The length of the diagonal of the rectangle can be determined as follows:\(`(9^2 + 12^2)^(1/2)`\) = 15 cm. Therefore, the length of the crease is 15 cm.
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Find the distance between y=7 and y=-1
Answer:
Er I think it’s 8 but not sure
Step-by-step explanation:
select all that applywith weighted moving averages, how are the weights selected?multiple select question.trial and errorfitting to a regression lineguessingexperience
The weights in a weighted moving average are selected by: Trial and error, Fitting to a regression line, Guessing, Experience.
The methods for selecting weights in weighted moving averages are trial and error, fitting to a regression line, and experience.
When selecting weights for weighted moving averages, the following methods can be used:
Trial and error:
Testing different weight combinations to find the best fit for the data.
Fitting to a regression line:
Analyzing the relationship between the data points and assigning weights accordingly.
Experience:
Using prior knowledge and understanding of the data or similar situations to determine appropriate weights.
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Trial and error fitting, fitting to a regression line, and experience are the methods that can be used to select weights in a weighted moving average.
With weighted moving averages, the weights can be selected using various methods. Here are the applicable methods from your given options:
1. Trial and error fitting: Weights can be selected by testing different combinations of weights and observing their impact on the accuracy of the model.
2. Fitting to a regression line: Weights can be determined by fitting a regression line to the data and using the coefficients of the regression line as the weights.
3. Experience: Domain knowledge or past experience with similar data can help in selecting appropriate weights.
In summary, trial and error fitting, fitting to a regression line, and experience are the methods that can be used to select weights in a weighted moving average.
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Lea is making a mosaic picture that is 3/4 foot tall and 11/12 foot wide what is the area of her mosaic
Answer:
First, 3x11 equals 33. Then 4x12 equals 48, so the area would be 4/12
Step-by-step explanation:
4) A group entering a zoo purchased 33 admission tickets for a total of $139.50. Adult tickets (x) cost $7.50 and
tickets for children (y) cost $3.50. How many of each type of ticket were purchased?
/5 points
The number or children tickets are 24 and adults tickets are 9.
How to illustrate the information?Adult tickets (x) cost $7.50 and tickets for children (y) cost $3.50. The equation will be:
7.5x + 3.5y = 139.5
There are 33 tickets. This will be:
x + y = 33
x = 33 - y.
Recall 7.5x + 3.5y = 139.5
Substitute for x.
7.5(33 - y) + 3.5y = 139.5
247.5 - 7.5y + 3.5y = 139.5
-4.5y = 139.5 - 247.5
4.5y = 108
y = 108/4.5
y = 24
Number of children ticket = 24
Adult tickets = 33 - 24 = 9
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Find the perimeter and area of the composite figure.
Answer:
area = (96 + 8π) m². perimeter = (35.3 + 4π) m
Step-by-step explanation:
shape is made up of a semicircle and a trapezium.
Area of circle = π r ².
Circumference = π X D (D = diameter = 2 X radius).
Area of trapezium = ½ X (sum of parallel sides) X distance between them.
area of semicircle = 1/2 X π (4)² = 8π (m²).
area of trapezium = 1/2 (16 + 8) 8 = 96 m².
total area = (96 + 8π) m².
perimeter = 11.3 + 8 (on bottom) + 8 (on side) + 8 (on top) + 1/2π (8)
= (35.3 + 4π) m.
The nullspace of nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors.
A. True
B. False
The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.
Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.
Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.
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Pablo simplified the expression (2 Superscript negative 4 Baseline) Superscript negative 2 as shown.
(2 Superscript negative 4 Baseline) Superscript negative 2 = 2 Superscript negative 4 times 2 Baseline = 2 Superscript negative 8
Which statement explains Pablo’s error?
He should have added the exponents instead of multiplying them.
He should have divided the exponents instead of multiplying them.
He should have found 8 as the exponent, not –8.
He should have written 2 Superscript negative 8 as StartFraction 1 Over 2 Superscript 8 Baseline EndFraction.
Answer:
He should have found 8 as the exponent, not –8.Step-by-step explanation:
Given the expression simplified by Pablo as \((2^{-4})^{-2}\)
On simplification we have;
According to one of the law of indices \((a^{m})^{n} = a^{mn}\)
Applying this law to the question will give;
\((2^{-4})^{-2}\\=2^{-4*-2} \\\= 2^{8}\)
Based on the calculation above, the exponent of 2 is 8 which means that Pablo should have found 8 as the exponent, not –8.
Answer:
C. He should have found 8 as the exponent, not –8.
Step-by-step explanation:
A man saves 3/ 10 of his income and pays 1/6 of the remainder as rent .Find what fraction of his income is left for other purposes.
Answer: 7/12
Step-by-step explanation:
1. The remainder is 7/10.
2. He pays 1/6 of the remaining amount as rent; this is the rent he pays.
3. His usage total is 3/10 + 7/60 = 25/60, or 5/12.
3u+3-2(-3u-1)=5(u-1)
Answer:
u = -1/5
Step-by-step explanation:
name me brainliest please.
Please help me with my work
In algebra, fractions can be added, subtracted, multiplied, and divided just like in basic arithmetic.
In algebra, what does a fraction mean?The components of a whole or group of objects are represented by fractions. A fraction consists of two parts. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the whole or collection. The denominator is the figure that appears below the line.
What are the Algebra Fundamentals?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the fundamentals of algebra. Additionally, the algebraic expressions contain the fundamental arithmetic operations of addition, subtraction, multiplication, and division.
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In the figure ABCD is a parallelogram. P, Q, R and S are the midpoint of the sides of the parallelogram. Prove that PQ = RS and QR = PS.
Answer:
ΔRCQ = ΔAPS
QR = PS (CPCTC)
ΔSRD ≅ ΔQPB
PQ = RS (CPCTC)
Step-by-step explanation:
Given that ABCD is a parallelogram, we have;
AD = BC, and DC = AB (Definition of a parallelogram)
AD = AS + SD Given S is midpoint of AD
Similarly,
DC = DR + RC
BC = BQ + QC
AB = AP + PB
RC = DR = AP = PB
BQ = QC = QC = BQ segments on either sides of midpoint
∠BCA = ∠DAB (opposite interior angles of a parallelogram)
ΔRQC ≅ ΔSPA
ΔRCQ = ΔAPS (Side Angle Side SAS rule of congruency)
Therefore, segment QR = segment PS (QR = PS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC)
Similarly we have;
∠CDA = ∠CBA (opposite interior angles of a parallelogram)
ΔSRD ≅ ΔQPB (opposite interior angles of a parallelogram)
Therefore, segment PQ = segment RS (PQ = RS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC).
Can someone help me with this?
A 32-ounce package of a snack mix is 24 percent pretzels. How many ounces are pretzels?
0.706 ounces
0.768 ounces
7.06 ounces
7.68 ounces
Answer:
0.768 would be the amount of pretzels in ounces
Step-by-step explanation:
24% of 32 =0.768
how i got 24%?
24% of 100= 24
feel free to like and give brainliest
Answer:
D
Step-by-step explanation:
Which of the following is true of prime numbers?
A.
A prime number may be an even number or an odd number.
B.
A prime number is always an even number.
C.
A prime number is always an odd number.
D.
A composite number may be an even number or an odd number.
Answer:
C
Step-by-step explanation:
Prime numbers are only divisible by themselves and 1 ....all even numbers are divisible by '2' , so all primes are odd numbers
Please help! Thank u so much
Answer:
x= 11/3
Step-by-step explanation:
6x-8=3+3x
6x-8+8=3+3x+8
6x=3x+11
6x-3x=3x+11-3x
3x=11
3x/3=11/3
x=11/3
Solve for
�
mm.
2
=
�
2
−
7
2=
2
m
−72, equals, start fraction, m, divided by, 2, end fraction, minus, 7
�
=
m=m, equals
The value of m for the given equation is 18. The solution has been obtained by solving the linear equation.
What is a linear equation?
A linear equation is the one with the highest degree of one. This demonstrates that there are no variables in a linear equation with an exponent bigger than one. On the graph, such an equation yields a straight line.
We are given an equation as 2 = m/2 - 7
On solving the equation for m, we get
⇒2 = m/2 - 7
⇒2 = (m - 14)/2
⇒2*2 = (m - 14)
⇒4 = m - 14
⇒m = 18
Hence, the value of m for the given equation is 18.
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