Answer:
Its is so u get points make me he brainlst thx
Step-by-step explanation:
(5b+6)°
(4b-6)°
answer B=
Answer:
B = 10
Step-by-step explanation:
5B + 6 + 4B - 6 = 90
9B + 0 = 90
Therefore, B = 10
HELP ME PLEASE
7. When Mrs. Santo lived in China, temperature was measured in Celsius. She constantly had to convertir
Celsius to Fahrenheit until she started learning Celsius temperatures and how warm they are.
The formula to convert from Celsius to Fahrenheit is F = = C) + 32
The mean temperature for one month was 34°C and the standard deviation was 2.27.C. Applying what
know about multiplying by a constant and adding a constant, what was the mean and standard deviation
Fahrenheit? Be sure to show your work for both the mean and the standard deviation.
Answer:
Mean: \(93.2\; \rm ^{\circ} F\).
Standard deviation: \(4.086\; \rm ^{\circ} F\).
Step-by-step explanation:
Consider a random variable \(X\) with mean \(\overline{X}\) and variance \({\rm Var}(X)\).
If a random variable \(Y\) is obtained by linearly transforming \(X\) for some constants \(m \ne 0\) and \(b\), then the mean of \(Y\!\) would be:
\(\overline{Y} = m\, \overline{X} + b\).
\(\mathrm{Var}(Y) = m^{2} \, \mathrm{Var}(X)\).
The standard deviation of a random variable is the square root of its variance. Therefore, the standard deviation of \(Y\) would be:
\(\begin{aligned}\mathrm{SD}(Y) &= \sqrt{\mathrm{Var}(Y)} \\ &= \sqrt{m^{2}\, \mathrm{Var}(X)} \\ &= m\, \sqrt{\mathrm{Var}(X)} \\ &= m\, \mathrm{SD}(X)\end{aligned}\).
In this question, the random variable \(F\) is obtained by linearly transforming \(C\) using the constants \(m = (9/5)\) and \(b = 32\). That is:
\(F = (9/5)\, C + 32\).
It is given that mean \(\overline{C} = 34\) while standard deviation \(\mathrm{SD}(X) = 2.27\). The mean and standard deviation of \(F\) obtained from the linear transformation would be:
\(\begin{aligned}\overline{F} &= m\, \overline{C} + b \\ &= (9/5) \times 34 + 32\\ &= 93.2\end{aligned}\).
\(\begin{aligned}\mathrm{SD}(F) &= m\, \mathrm{SD}(C) \\ &= (9/5) \times 2.27 = 4.086\end{aligned}\).
Thus, when measured in degrees Fahrenheit, the corresponding mean would be \(93.2\; \rm ^{\circ} F\) and and standard deviation would be \(4.086\; \rm ^{\circ} F\).
your basketball team is playing a series of 5 games against your opponent. the winner is those who wins more games (out of 5). let assume that your team is much more skilled and has 75% chances of winning. it means there is a 25% chance of losing. what is the probability of your team get 3 wins?
We can simply multiply the subsequent probabilities of losing each game. = 12.9%.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.According to our question-
we can simply multiply the subsequent probabilities of losing each game. So (3/5 * 3/5
* 3/5 * 3/5)
= 81/625
= .129 = 12.9%
Hence, We can simply multiply the subsequent probabilities of losing each game. = 12.9%.
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Steph is a baker.
She bakes 42 white rolls and 60 brown rolls.
Write the ratio of white rolls to brown rolls in its simplest form.
white rolls:brown rolls
Answer:
42:60
Step-by-step explanation:
Answer:
7:10
Step-by-step explanation:
Simplify the ratio until you can't divide it anymore
find the least positive integer $n$ such that no matter how $10^n$ is expressed as the product of two positive integers, at least one of these two integers contains the digit 0.
The least positive integer $n$ such that no matter how $10^n$ is expressed as the product of two positive integers, at least one of these two integers contains the digit 0, is 7.
Latex formula for equation.
f(x) = x^2 + 2x + 1
Let's consider the factorization of $10^n$ for increasing values of $n$.
For $n = 1$, $10^1 = 10$ which contains the digit 0.
For $n = 2$, $10^2 = 100$ which contains the digit 0.
For $n = 3$, $10^3 = 1000$ which contains the digit 0.
For $n = 4$, $10^4 = 10,000$ which contains the digit 0.
For $n = 5$, $10^5 = 100,000$ which contains the digit 0.
For $n = 6$, $10^6 = 1,000,000$ which contains the digit 0.
For $n = 7$, $10^7 = 10,000,000$ which contains no digit 0.
Therefore, the least positive integer $n$ is 7.
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Identify the function that reflects f(x)= 14x^3 -7x^2 +6 across the y axis and shifts it 6 units up.
We have the function:
\(f(x)=14x^3-7x^2+6.\)We must identify the function that:
0. reflects the function across the y-axis,
,1. shift it 6 units up.
1) To reflect the function across the y-axis we replace x by -x:
\(f(x)\rightarrow g(x)=14(-x)^3-7(-x)^2+6=-14x^3-7x^2+6.\)2) To shift the result 6 units up, we sum +6 on the right side:
\(g(x)\rightarrow h(x)=-14x^3-7x^2+6+6=-14x^3-7x^2+12.\)Plotting both functions, we get:
Answer
Second option
\(h(x)=-14x^3-7x^2+12\)Hellppppppppppppppppppppppppppppppppppp
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?
The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).
Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.
Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).
Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).
Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).
To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.
(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)
Expanding this expression, you get:
(0+a+b, 1+a+b, 0+a, 0+b)
Simplifying, you obtain the following set of solutions:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Therefore, the correct set of possible results would be:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.
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what is the median of 10,12,24,18,14,26,22
Answer:
18
Step-by-step explanation:
18
y=-1/3x -1
Y=2x+2 Solve the systems of equations
This system of equations has been solved graphically and its solution is equal to the ordered pair (-1.29, -0.57).
What is a point of intersection?In Mathematics, a point of intersection is the location on a graph where two (2) lines intersect, or cross each other, which is typically represented as an ordered pair containing the point that corresponds to the x-axis and y-axis on a cartesian coordinate.
In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection of the lines on the graph;
y = 2x + 2 ........equation 1.
y = -1/3x - 1 ........equation 2.
Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which is given by the ordered pair (-1.29, -0.57).
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The solution to the system of equations is
x = -9/7 and y = -4/7What are system of equations?A system of equations is a pair of two linear equations
How to solve the system of equations?Given the system of equations
y = -x/3 - 1 and
y = 2x + 2
We proceed to solve the system of equations as follows.
Since we have the equations
y = -x/3 - 1 and
y = 2x + 2
Eqating both expressions, we have that
-x/3 - 1 = 2x + 2
adding 1 from both sides, we have
-x/3 - 1 + 1 = 2x + 2 + 1
-x/3 + 0 = 2x + 3
-x/3 = 2x + 3
Subtracting 2x from both sides, we have that
-x/3 - 2x = 2x - 2x + 3
(-x - 6x)/3 = 0 + 3
-7x/3 = 3
Multiplying both sides by 3, we have
-7x = 3 × 3
-7x = 9
Dividing both sides by -7, we have
x = 9/-7
x = -9/7
Substituting x = -9/7 into y = 2x + 2, we have that
y = 2x + 2
y = 2(-9/7) + 2
= -18/7 + 2
= (-18 + 14)/7
= -4/7
So,
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Are lines l and k parallel?
Answer:
yes they ar op b
Step-by-step explanation:
The ratio of income to expenditure is 6:5, find the savings if the expenditure is 20,000 dollars.
Savings = $4000
Explanations:The ratio of income to expenditure = 6 : 5
Expenditure = $20000
\(\begin{gathered} \frac{Income}{\text{Expenditure}}\text{ = }\frac{6}{5} \\ \frac{Income}{20000}=\text{ }\frac{6}{5} \\ \frac{Income}{20000}=1.2 \\ \text{Income = 20000(1.2)} \\ \text{Income = }24000 \end{gathered}\)Income = $24000
Savings = Income - Expenditure
Savings = $24000 - $20000
Savings = $4000
The diagram below defines four vectors, A, B, C, and D. Each of the 16 squares on the picture measures 5.00 m by 5.00 m. All the vectors start and end at intersection points of the grid lines.
You happen to be a participant in the Survivor reality show, and this diagram is part of an individual challenge—win the challenge, and you're guaranteed immunity at the next Tribal Council. The challenge says,
"travel 5A + 8B + 8C + 5D."
The starting point is the bottom left corner of the picture above, with to the right on the diagram being east, and up being north. Doing some quick calculations, you determine the resultant vector of the vector sum given above.
(a) What is the magnitude of the resultant vector?
m
(b) What is the angle between the resultant vector and due east?
degrees
(c) In the second part of the challenge, you're given the following instruction.
Travel 4A + xB +7C + 4D.
This results in no net east or west motion. How far north do you travel? Hint: first find x.
m
a) The magnitude of the resultant vector 33.78m.
b) The angle between the resultant vector and due east is 77.94°
c) The participant traveled 20m north in the second part of the challenge.
(a) The magnitude of the resultant vector
The magnitude of the resultant vector is given by;
|R| = |5A + 8B + 8C + 5D|
= √[ (5)² + (8)² + (8)² + (5)²]
= √(1142)
= 33.78m
(b) The angle between the resultant vector and due east
To determine the angle between the resultant vector and due east, let θ be the angle formed between the resultant vector R and A :
We can find cos θ from;
cos θ = (A•R) / |A||R|
= [(5)(5) + (0)(8) + (0)(8) + (0)(5)] / [5√(1142)]
= 0.218
θ = cos⁻¹(0.218)
θ = 77.94°
(c) The distance traveled north when 4A + xB +7C + 4D.
To find x, we have to assume that there is no east or west motion.
xB = -4A - 7C - 4D
5x + 0y = -4(5) - 7(0) - 4(8)
= -68x
= -68 / 5
= -13.6
Therefore, x ≈ -14.
Substituting x = -14 in 4A + xB +7C + 4D, we have;
4A - 14B + 7C + 4D = (4, 0) + (-14, 8) + (0, 8) + (0, 4) = (-10, 20)
The vertical displacement north is given by;
|y| = |20 - 0|
= 20m
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Hello, I need help I have watched about 10+ hours of YT videos on this and still don't understand this and my teacher wont respond to me. It is this sheet in particular that i don't understand. I know how to do simple ones but not this. If you are able to help me i will give you a brainlest, Once i figure out this site. Oh yea i am not in high school i am in middle
Answer:
On the first one, they took half of the original number then added it to the original to get the sides of the bigger shape.
Step-by-step explanation:
Answer: I just did this in my math class, so I'll try to help you the best I can. I uploaded the pdf below with step by step solutions to each problem. I also wrote some background information you need to know in order to solve the problems.
Step-by-step explanation:
Hope This Helps!
what kind of triangle is 6, 8, and 9
Answer:
equiangular -right -obtuse -acute.
An Amtrak official obtains data on a particular day concerning the length of time (in minutes) that the metroliners leaving New York take to reach Philadelphia, with the following results:
93 89 91 87 91 89
Find the sample variance.
a. 3.6
b. 5.6
c. 6.8
d. 7.6
e. 4.4
The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.
The sample variance is a measure of how much the individual data points in a sample vary from the mean.
It is calculated by finding the average of the squared differences between each data point and the mean.
To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:
Calculate the mean (average) of the data set:
Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90
Subtract the mean from each data point and square the result:
(93 - 90)^2 = 9
(89 - 90)^2 = 1
(91 - 90)^2 = 1
(87 - 90)^2 = 9
(91 - 90)^2 = 1
(89 - 90)^2 = 1
Calculate the sum of the squared differences:
9 + 1 + 1 + 9 + 1 + 1 = 22
Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):
Variance = 22 / 5 = 4.4
It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.
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Reselect all cases. Define TX + Y. Then recode into a categorical variable G such that G-1 İFT <= 10 and G=0 ifT> 10. For variable G what is the frequency of 1? a. 0.973 b. 1027 c. 2000 d. 973
The frequency of 1 is option (d) 973
Reselecting cases means selecting a subset of data that meets specific criteria. In this case, you will need to identify which cases to keep based on certain conditions. After reselecting cases, the next step is to define the variable TX + Y. This means that you will perform an operation on two existing variables, T and Y, and create a new variable that is the sum of T and Y. The result will be a numerical variable.
To summarize, you will need to follow these steps:
Reselect cases based on specific criteria.
Define the variable TX + Y as the sum of T and Y.
Recode the numerical variable into a categorical variable with two categories: G-1 İFT <= 10 and G=0 if T>10.
Calculate the frequency of category 1 in the new variable G.
Finally, to answer the question, you will need to calculate the frequency of category 1 in the variable G. This means that there are 973 cases where the value of TX + Y is less than or equal to 10.
The correct answer is option d. 973.
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7 over 100 in its simplest form
10
Determine the unknown side of the similar triangle.
A)
3
B
-
5
D
6
Geonet
plss help i’ll give brainliest thank you!
Answer:
its 36 can you give me brainlyyy pleaasee
Answer:
36
Step-by-step explanation:
18 goes into 9 but not 12.
24 goes into 12 but not 9.
36 goes into 9 also into 12.
48 goes into 12 but not 9.
Hope this helps!
What is the difference in finding the exact vs approximate volume?
Answer:
An exact number is one that has no uncertainty. An example is the number of tires on a car (exactly 4) or the number of days in a week (exactly 7). An approximate number is one that does have uncertainty. ... The number can be the result of a measurement.
Step-by-step explanation:
help plssssssssssssssssssss
Answer:
The circumference is 75.36 inches.
Step-by-step explanation:
Hi there! Please take a look at the following explanation and let me know in the comment if you have any doubts!
Given:We are given the radius that’s equal to 12 inches and π = 3.14
Problem:We want to find the circumference.
Circumference Formula:\(\displaystyle \large{C=2\pi r}\) which simply means circumference = 2*π*radius or sometimes can also be written as \(\displaystyle \large{C=\pi d}\) which means circumference = π*diameter since 2r means two times of radius and that’s technically diameter.
Step:Determine the following:
π = 3.14 as givenr = 12 as givenApply the circumference formula.
\(\displaystyle \large{C=2\cdot 3.14 \cdot 12}\\\\\displaystyle \large{C = 24 \cdot 3.14}\\\\\displaystyle \large{C=75.36}\)
Hence, the circumference is 75.36 inches.
Answer:
75.36 in^2
Step-by-step explanation:
24*3.14
=75.36 in^2
Consider this function f(x)=6log2x-3. Over which interval is function f increasing at the greatest rate?
Answer:
0 < x < 1.5..
Step-by-step explanation:
The derivative is 12/(2x - 3)
12/2x - 3 > 0
The interval is 0 < 2x < 3
That is 0 < x < 1.5..
The function f(x)=6log_2(x) - 3 increasing at the greatest rate in the interval [1/8, 1/2]
What are maxima and minima?Maxima and minima of a function are the extrema within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.
We have a function:
\(\rm f(x) = 6log_2x-3\\\)
For the interval x ∈[2, 6]
f(x) ∈ [-0.678, 3]
For the interval x ∈ [1/8, 1/2]
f(x) ∈ [ -9.96, -5.32]
For the interval x ∈ [1, 2]
f(x) ∈ [-3, -0.67]
For the interval x∈ [1/2, 1]
f(x) ∈ [-5.32, -3]
As we can see from the function value and its interval values the function increased at the greatest rate in the interval [1/8, 1/2]
Thus, the function f(x)=6log_2(x) - 3 increasing at the greatest rate in the interval [1/8, 1/2]
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◄)) Divide:
4) 8,567
R
Submit
The Remainder is 3 and the Quotient is 2141.
What is meant by long term division?Long division is a mathematical technique for breaking down large numbers into smaller groups or parts. It is beneficial to divide a problem into simple and easy steps. Dividends, divisors, quotients, and remainders are all part of the long divisions.The layout of short division and long division is similar, but there are two major differences. Long division is used when dividing multi-digit numbers by two-digit numbers, whereas short division is used when dividing multi-digit numbers by one-digit numbers. Follow the steps below to find the square root of 5 using the long division method. As a result, the value of root 5 is 5 = 2.2360... Long division can be used to calculate the value of the square root of any non-perfect square number.Therefore,
The given Divisor = 4 and Dividend = 8567
4 ÷ 8567
= 2141.75
The Quotient is 2141 and the Remainder is 3
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in this situation is it possible that lim x → 1 f(x) exists? explain.
Yes, in this situation is it possible that lim x → 1 f(x) exists.
A horizontal/vertical oblique line that approaches 0 but never reaches it is known as an asymptote. Its distance from the graph of the function keeps becoming smaller.
What's the vertical asymptote rule?
Vertical asymptotes happen when a factor from a rational expression's denominator does not cancel out with a factor from the numerator.
The existence of a vertical asymptote occurs when a factor does not cancel, as opposed to creating a hole at that number. Using a dotted vertical line, the vertical asymptote is shown.
if f(x) has a vertical asymptote at x = 1,
it can be defined such that lim x→1− f(x) = 6,
lim x→1+ f(x) = 3,
and lim x→1 f(x) exists.
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How many and what type of solutions does 5x2−2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solutions
Answer:
2 nonreal solutions
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
then the nature of the roots are determined by the discriminant
b² - 4ac
• if b² - 4ac > 0 then 2 real and irrational solutions
• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
5x² - 2x + 6 = 0 ← in standard form
with a = 5 , b = - 2 , c = 6
b² - 4ac
= (- 2)² - (4 × 5 × 6)
= 4 - 120
= - 116
since b² - 4ac < 0
then there are 2 nonreal solutions to the equation
The farmer wants ratio horses : cows to equal 5 : 3.
He keeps his 45 horses but buys some cows.
Work out the number of cows he must buy.
Answer
He needs to buy 27 Cows
Step-by-step explanation:
if the ratio from horses to cows is 5-3 then you multiply 5 by the number to get 45 and also multiply it by 3
5 x 9 = 45
3 x 9 = 27
(9x + 11) what’s the answer?
Answer:
70 is the answer
Step-by-step explanation:
Answer: (9x + 11) = 70
Step-by-step explanation:
let f be the function with derivative given by f'(x) = sin(x2 − 3). at what values of x in the interval −3 < x < 3 does f have a relative maximum?A) -1.732 and 2.478 only B) -2.478 and 1.732 only C) 2.138, 0,and 2.138 D) -2.478 -1.732, 1.732, and 2.478
The interval where the derivative function f'(x) has a relative maximum is -2.478 and 1.732 (B) only.
To find the relative maximum of a function, we need to find the critical points of the derivative function. Critical points are where the derivative function is equal to zero or undefined. In this case, the derivative function is f'(x) = sin(x^2 − 3).
To find the critical points, we need to set the derivative function equal to zero and solve for x:
sin(x² − 3) = 0
x² − 3 = nπ, where n is an integer
x² = nπ + 3
x = ±√(nπ + 3)
We need to find the values of x that are in the interval −3 < x < 3. By plugging in different values of n, we can find the critical points in this interval:
n = 0: x = ±√3 ≈ ±1.732
n = 1: x = ±√(π + 3) ≈ ±2.478
n = 2: x = ±√(2π + 3) ≈ ±2.915 (not in the interval)
So the critical points in the interval are -2.478, -1.732, 1.732, and 2.478.
To determine which of these are relative maximums, we need to look at the sign of the derivative function on either side of the critical points. If the derivative function changes from positive to negative at a critical point, then that point is a relative maximum.
At x = -2.478, the derivative function changes from positive to negative, so this is a relative maximum.
At x = -1.732, the derivative function changes from negative to positive, so this is not a relative maximum.
At x = 1.732, the derivative function changes from positive to negative, so this is a relative maximum.
At x = 2.478, the derivative function changes from negative to positive, so this is not a relative maximum.
Therefore, the values of x in the interval −3 < x < 3 where f has a relative maximum are -2.478 and 1.732.
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Skdjdnfkejcjdkffjekvig
Answer:
measurement of angle 2 is 111 degrees
measurement of angle 3 is 69 degrees
measurement of angle 4 is 111 degrees