Answer:
0
Step-by-step explanation:
\( - 18y + 7 = - 29\)
can someone like help me
A side of the triangle below has been extended to form an exterior angle of 118°. Find the value of x.
Answer:
62 degrees
Step-by-step explanation:
the total angle of a straight line like this hypotenuse would be 180. So it's 180-118=62
Scenario #2
Mary Beth's checking account balance on her bank statement shows $184.32. However,
she wrote checks for $41.78 and $12,10 that have not cleared the bank yet. How much is
Mary Beth's outstanding check total?
Answer:
Step-by-step explanation:
Mar Beth will have
41.78+12.10=53.88 outstanding check
184.32-53.88=130.44 balance in the account
2/3×4/5 in fraction bar
Answer:
8/15
Step-by-step explanation:
Multiply the numerators:
2*4 = 8
Multiply the denominators:
3*5 = 15
Now we have 8/15.
This cannot be simplified, so this is our final answer.
\(\frac{2}{3} \times\frac{4}{5}\)
Multiply numerator by numerator and denominator by denominator:
\(2*4=8\\3*5=15\)
\(\frac{8}{15}\) would be your final answer.
Find the area and the circumstances of a circle with radius 8m. Use the value 3. 14 for pi do not round your answer. Be sure to include the correct units in your answers
The area and circumference of the given circle are 200.96 cm2 200.96 c m 2 and 50.24 cm 50.24 c m respectively.
Circumference of circle:
In geometry, a circumference is the circumference of a circle or an ellipse. That is, the circumference will be the length of the arc of the circle as if it were open and straight to the line segment. More generally, the perimeter is the length of the curve around any closed figure. The circumference can also designate the circle itself, the trajectory corresponding to the edge of a disk. The circumference of a sphere is the circumference or length of one of its great circles.
Area of circle:
The area of a circle is the space the circle occupies in a two-dimensional plane. Alternatively, the space occupied inside the boundary/perimeter of a circle is called the area of the circle. The formula for the area of a circle is A = πr2, where r is the radius of the circle. Area unit is square unit, such as m2, cm2, in2, etc.
According to the Question:
The circumference C of a circle with radius r is given by
C = 2πr
where the units of C will be the same as the unit of R.
The problem tells us that the radius r = 8m.
And, we will say π = 3.14
So,
C = 2(3.14)(8) = 50.24m
The units are meters.
Now, the area A of a circle with radius r is given by
A = πr², where the units of A will be the units of r squared.
Again,
we know r = 8,π = 3.14, so
A= 3.14(8²)
8² = 8⋅8 = 64,
Thus,
A= 64(3.14) = 200.96m²
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A football team caught the ball in 60% of the
plays during a game. Based on this information, if
the team caught the ball in 15 plays, how many
total plays did the team have?
Answer: 25 Plays Total.
60% of 25 is 15
10% of 25 = 2.5
2.5x6=15
Hope This Helps.
Please help me! Bots keeps answering my questions and I really need an answer
Answer:
D) the bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is 1,792.58 ft
is 32.5 bigger or less than 150
Answer:
less
Step-by-step explanation:
Answer:
less than the answer is less then
Determine the following:
(a). The 95th percentile of the chi-squared distribution with ν = 10
(b). The 5th percentile of the chi-squared distribution with ν = 10
(c). P(10.98 ≤ Χ 2 ≤ 36.78), where Χ 2 is a chi-squared rv with ν = 22
(d). P(Χ 2 < 14.611 or Χ 2 > 37.652), where Χ 2 is a chi-squared rv with ν = 25
(a) 95th percentile of the Chi-squared distribution with degrees of freedom ν=10 is approximately 18.3.
(b) the 5th percentile of the Chi-squared distribution with degrees of freedom ν=10 is approximately 3.2.
(c) P(10.98 ≤ Χ² ≤ 36.78) = 0.9221
(d) P(Χ² < 14.611 or Χ² > 37.652) = 0
The Chi-Squared DistributionIn probability theory and statistics, the Chi-Squared distribution is one of the distributions. This distribution arises when the sum of the squares of the independent random variables is distributed. The distribution is given by the positive square root of the random variable z. We usually call the distribution as a chi-squared distribution with degrees of freedom denoted by ν. The distribution has a wide range of applications in various fields, including bioinformatics, physics, finance, and many others.
(a). The 95th percentile of the chi-squared distribution with ν = 10The Chi-squared distribution with degrees of freedom ν=10 has a 95th percentile of approximately 18.3. The formula for determining the 95th percentile of the Chi-squared distribution with degrees of freedom ν is as follows:P(χ² ≤ p0.95) = 1 - αwhere α is the significance level. The value of α for 95% confidence is 0.05. Using the inverse Chi-Square distribution function in Microsoft Excel, we can find that the 95th percentile of the Chi-squared distribution with degrees of freedom ν=10 is approximately 18.3.
(b). The 5th percentile of the chi-squared distribution with ν = 10The Chi-squared distribution with degrees of freedom ν=10 has a 5th percentile of approximately 3.2. The formula for determining the 5th percentile of the Chi-squared distribution with degrees of freedom ν is as follows:
P(χ² ≤ p0.05) = αwhere α is the significance level. The value of α for 95% confidence is 0.05.
Using the inverse Chi-Square distribution function in Microsoft Excel, we can find that the 5th percentile of the Chi-squared distribution with degrees of freedom ν=10 is approximately 3.2.
(c). P(10.98 ≤ Χ² ≤ 36.78), where Χ² is a chi-squared rv with ν = 22
The probability of 10.98 ≤ Χ² ≤ 36.78 is the same as the probability of Χ² ≤ 36.78 - Χ² ≤ 10.98.
Using the cumulative distribution function for the Chi-Squared distribution with degrees of freedom ν=22 in Microsoft Excel, we get P(10.98 ≤ Χ² ≤ 36.78) = P(Χ² ≤ 36.78) - P(Χ² ≤ 10.98)= CHISQ.DIST.RT(36.78, 22) - CHISQ.DIST.RT(10.98, 22)= 0.9572 - 0.0351= 0.9221
(d). P(Χ² < 14.611 or Χ² > 37.652), where Χ² is a chi-squared rv with ν = 25The probability of Χ² < 14.611 or Χ² > 37.652 is the same as the probability of Χ² ≤ 14.611 - Χ² ≥ 37.652. Using the cumulative distribution function for the Chi-Squared distribution with degrees of freedom ν=25 in Microsoft Excel, we get P(Χ² < 14.611 or Χ² > 37.652) = P(Χ² ≤ 14.611) + (1 - P(Χ² ≤ 37.652))= CHISQ.DIST.RT(14.611, 25) + (1 - CHISQ.DIST.RT(37.652, 25))= 0.025 - 0.0449= -0.0199However, the probability cannot be negative. Thus, we can say that the probability of Χ² < 14.611 or Χ² > 37.652 is zero. Therefore,P(Χ² < 14.611 or Χ² > 37.652) = 0
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Find the Value of x
The value Bhave a specific equation or context in which x is used, here x = 17
Let the unknown number be x.
According to the problem, if 7 is subtracted from twice the number, the result is 27. In other words, we can write:
2x - 7 = 27
To solve for x, we can add 7 to both sides:
2x = 34
To solve a problem that involves an unknown number, we need to first define the unknown number as a variable. In this case, we define the unknown number as x.
Next, we need to translate the problem statement into an equation that relates the unknown number to the given information.
In this problem, we are told that if 7 is subtracted from twice the unknown number, the result is 27.
We can write this as:
2x - 7 = 27
To solve for x, we need to isolate it on one side of the equation. We can do this by adding 7 to both sides:
2x = 34
Finally, we can solve for x by dividing both sides by 2:
x = 17
Therefore, the unknown number is 17.
It's important to check our answer to make sure it is valid. We can do this by plugging our answer back into the original equation and seeing if it satisfies the conditions of the problem:
2(17) - 7 = 27
34 - 7 = 27
27 = 27
Finally, we can divide both sides by 2 to get:
x = 17
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Help
Look at the picture it says what it needs.
The value of x and y for the angles are 4 and 9 respectively.
What is an equation?An exponential equation is an expression that shows how numbers and variables using mathematical operators.
10x - 4 = 6(x + 2) (opposite angles are equal to each other)
10x - 4 = 6x + 12
4x = 16
x = 4
Also:
18y - 18 = 16y
2y = 18
y = 9
The value of x and y are 4 and 9 respectively.
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Solve the equation |4m| − 5 = 11.
Answer:
Please refer to the attachment
whats the answer to this?
Answer:
6cm
Step-by-step explanation:
I will apply equivalent fractions here or enlargement is also allowed
let find the factor,k
3/0.25=k
12=k
to get x
x/0.5=12
x=12*0.5
x=6cm
The bill for dinner was $63. Your mom left $70 to pay for the meal and tip. What percent of the meal did your mom leave as a tip for the server?
Answer:
about 11%
Step-by-step explanation:
70-63=7
7/63= 0.111111= 11%
Answer: 11.1...%
Your tip is 7, and you want 7/63 as a percentage, which would be 11.111111...%. The answer should be 11/1...%.
I hope this helped!
What is the missing rational expression in the following multiplication sentence (b³(a=7)/a^2)(?)=b(a-7)/14a
Answer:
C a/14b2
Step-by-step explanation:
Answer:
C on Edge
Step-by-step explanation:
Just got the question right.
6-2x=5x-9x+12 what is the value of x
its for savvas realize
Answer:like terms: 5x + -9x = -4x 6 + -2x = -12 + -4x Solving 6 + -2x = -12 + -4x Solving for variable 'x'.
Step-by-step explanation:
6 - 2x = 5x - 9x + 18 - 12 6 - 2x = -4x + 6 -2x = -4x 4x - 2x = 0 2x = 0 x = 0 / 2 x = 0.
Answer:
x=3
Step-by-step explanation:
6-2x=5x-9x+12
6-2x=-4x+12
-2x+4x=12-6
2x=6
x=6/2
x=3
The r in the simple interest formula stands for rate which best describes how to use rate in formula
Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.
Define rate.The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.
Given
The r in the simple interest formula stands for rate.
Convert it to a decimal and multiply is the best way to describe rate in formula.
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Suppose RS is conjurated to MN. For each of the set of lengths, solve for X, and find the length of each segment.
If RS is congruent to MN then the value of x in all the parts are 6,4, and 10.
Given RS is congruent to MN.
We are required to find the value of x if RS is congruent to MN.
Congruent lines are those lines whose lengths are equal to each other.
1) RS=x+10, MN=2x+4.
Because the congruent lines have equal lengths so , RS=MN.
x+10=2x+4
x-2x=4-10
-x=-6
x=6
2) RS=3x-2, MN=x+6
Because the length of lines are equal,so RS=MN.
3x-2=x+6
3x-x=6+2
2x=8
x=4
3) RS=5x-10, MN=2x+20
The lengths are equal so RS=MN.
5x-10=2x+20
5x-2x=20+10
3x=30
x=10
Hence if RS is congruent to MN then the value of x in all the parts are 6,4, and 10.
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How do you find the surface area of an acute triangle?
The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.
According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.
The area of the acute triangle can be calculated by the formula:
area of acute triangle = (1/2) × b × h
b = base, and
h = height
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PLEASE HELP!
Six guinea pigs are released in an area with no natural predators. The guinea pig population quadruples every year. Write a function P that represents the guinea pig population at a given time T measured in years. Choose the function below that represents the inverse function P-1
Use the inverse function to find how long it will take the guinea pig population to reach 1,000 and choose the response that correctly states this information.
The time taken for the population of the pig to reach 1000 will be almost four years.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Six guinea pigs are released in an area with no natural predators.
The guinea pig population quadruples every year.
Write a function P that represents the guinea pig population at a given time T measured in years.
Then the function will be
\(\rm P = 6 (4)^T\)
Then the inverse function of P will be
\(\rm T = 6 (4)^P\\\\\\P \ln 4 = \ln \left (\dfrac{T}{6} \right )\\\\\\P = \dfrac{\ln (T/6)}{\ln 4}\)
Then the time taken for the population of the pig to reach 1000 will be
\(\rm 1000 = 6 (4)^T\\\\\\166.667 = 4^T\\\\\\T = 3.69 \\\\\\T \approx 4 \ years\)
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JK has endpoints J(-6, -8) and K(9, 1). Point L divides JK into two parts with lengths in a
ratio of 2:1.
What are the two possible locations of L?
(1.5, -3.5)
(2, -2.3)
(4, -2)
(-5, -1)
(-1,-5)
(3.5, -1.5)
The two possible locations of L
The two possible locations of point L is (4,-2) and (8,3.33).Given that
JK has J (-6, -8) and K (9, 1) endpoints.Point L divides JK into two parts with lengths in a ratio of 2:1.To find
The two possible locations of L?So, according to the question
We have,
The endpoints of the JK line are J(-6, -8) and K(9, 1).Point L divides JK in a ratio of 2:1.So, we know that
The coordinates of any point that divide a line into the m- and n-ratiosX = \(\frac{mx_2 \pm nx_1}{m+n}\) and Y = \(\frac{my_2\pm ny_1}{m+n}\)
Let's assume the location of point L is (x,y).
So, the coordinates of point L (x,y) are
x = \(\frac{mx_2 \pm nx_1}{m+n}\) and y = \(\frac{my_2\pm ny_1}{m+n}\)
Where,
x₂ = 9 and x₁ = -6,
y₂ = 1 and y₁ = -8,
m = 2 and n = 1,
For x-coordinates,
x = \(\frac{2\times 9 \pm 1\times (-6)}{2+1}\)
x = \(\frac{18 \pm (-6)}{3}\)
for (+) sign,
x = \(\frac{18 + (-6)}{3}\)
x = \(\frac{18 -6}{3}\) = \(\frac{12}{3} = 4\)
x = 4
for (-) sign,
x = \(\frac{18 - (-6)}{3}\)
x = \(\frac{18 +6}{3}\) = \(\frac{24}{3} = 8\)
x = 8
For y co-ordinates,
y = \(\frac{2\times 1 \pm 1\times (-8)}{2+1}\)
y = \(\frac{2 \pm (-8)}{3}\)
for (+) sign,
y = \(\frac{2 + (-8)}{3}\)
y = \(\frac{2 -8}{3}\) = \(\frac{-6}{3} = -2\)
y = -2
for (-) sign,
y = \(\frac{2 - (-8)}{3}\)
y = \(\frac{2 +8}{3}\) = \(\frac{10}{3} = 3.33\)
y = 3.33
The two possible location of point L is (4,-2) and (8,3.33).
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I picked the yellow one, was I correct?
Answer:
7
Step-by-step explanation:
count each number and letter without the exponent
Recall x B denotes the coordinate vector of x with respect to a basis B for a vector space V. Given two bases B and C for V, P denotes the change of coordinates matrix, which has CAB the property that CER[x]B = [x]c for all x € V. It follows that Р — ТР o pe = (2x)? B+C CEB) Also, if we have three bases B, C, and D, then (?) (Pe) = pe Each of the following three sets is a basis for the vector space P3: E = {1, t, ť, ť}, B = {1, 1+ 2t, 2-t+3t, 4-t+{}, and C = {1+3t+t?, 2+t, 3t – 2 + 4ť", 3t} . Find and enter the matrices P= Px and Q=LC EB
To find the change of coordinates matrices P and Q, we need to express the basis vectors of each basis in terms of the other two bases and use these to construct the corresponding change of coordinates matrices.
First, let's express the basis vectors of each basis in terms of the other two bases:
E basis:
1 = 1(1) + 0(t) + 0(t^2) + 0(t^3)
t = 0(1) + 1(t) + 0(t^2) + 0(t^3)
t^2 = 0(1) + 0(t) + 1(t^2) + 0(t^3)
t^3 = 0(1) + 0(t) + 0(t^2) + 1(t^3)
B basis:
1 = 0(1) + 1(1+2t) + 2(2-t+3t^2) + 0(4-t+t^3)
t = 0(1) + 2(1+2t) - 1(2-t+3t^2) + 0(4-t+t^3)
t^2 = 0(1) - 3(1+2t) + 4(2-t+3t^2) + 0(4-t+t^3)
t^3 = 1(1) - 4(1+2t) + 1(2-t+3t^2) + 1(4-t+t^3)
C basis:
1+3t+t^2 = 1(1+2t) - 1(2-t+3t^2) + 0(4-t+t^3)
2+t = 1(1) + 0(t) + 0(t^2) + 1(t^3)
3t-2+4t^3 = 0(1+2t) + 3(2-t+3t^2) + 0(4-t+t^3)
3t = 0(1) + 0(t) + 1(t^2) + 0(t^3)
Now we can construct the change of coordinates matrices P and Q:
P matrix:
The columns of P are the coordinate vectors of the basis vectors of E with respect to B.
First column: [1, 0, 0, 0] (since 1 = 0(1) + 1(1+2t) + 2(2-t+3t^2) + 0(4-t+t^3))
Second column: [1, 2, -3, -4] (since t = 0(1) + 2(1+2t) - 1(2-t+3t^2) + 0(4-t+t^3))
Third column: [0, -1, 4, -1] (since t^2 = 0(1) - 3(1+2t) + 4(2-t+3t^2) + 0(4-t+t^3))
Fourth column: [0, 0, 0, 1] (since t^3 = 1(1) - 4(1+2t) + 1(2-t+3t^2) + 1(4-t+t^3)
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david has real 18 pages more than 1/4 pages of a book. write an expressions to represents the p pages david has read.
The expression to represent the p pages David has read is: p = 18 + (1/4)x, where x is the total number of pages in the book.
David has read 18 pages more than 1/4 pages of a book. The expression to represent the p pages that David has read would be: p = 18 + (1/4)x, where x is the total number of pages in the book. The reasoning behind this is as follows:
David has already read 18 pages more than 1/4 of the book, so we have to add 18 pages to whatever the pages of the book are. Since we don't know what the actual number of pages are, we'll call that x. Therefore, David read 1/4 of the book (or 1/4 of x) plus 18 pages.
Hence, the expression is: p = 18 + (1/4)x.
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I need help solving this practice question solve for x
Is √8 a rational or irrational number
Answer:
irrational
Step-by-step explanation:
irrational because there will still be a 2 under the root when you simplify to 2√2
Give the Domain and Range for each of the following.
f(x) = {(-2,0); (3,8); (-5, 10); (0,3)}
Answer:
The Domain are -2,3,-5,0
The Range are 0,8,10,3
You flip a coin and then spin this spinner. a) Determine whether these events are Independent or Dependent. Write I on D b) Find the probability that the coin lands tails-up and the spinner Yands on a I Write as a reduced fraction (numerator/denominator). 1
SOLUTION
Dependent events influence the probability of other events or their probability of occurring is affected by other events. Independent events do not affect one another and do not increase or decrease the probability of another event happening.
PART A
Since the flip of a coin would not affect the spin of the spinner, therefore these events are independent events.
The answer is 'I'
PART B
To find the probability that the coin lands tails-up and the spinner lands on 1, we would need to find the probability of getting a tail, then we find the probability of getting a 1
Therefore,
\(\text{Probaility}=\frac{no\text{ of favourable outcomes}}{\text{Total possible outcomes}}\)When we flip a coin, the favourable outcome for a tail is 1 since a tail can only occur once in one flip. The total possible outcomes are 2, since we can have either a tail or head occurring in one flip.
Then,
\(Pr(\text{Tail)}=\frac{1}{2}\)When we spin the spinner, the favourable outcome for one is 1, since we have only one slot for one on the spinner. The total possible outcome is 4 since we have 4 different number
slots on the spinner.
Then,
\(Pr(1)=\frac{1}{4}\)To get the probability of getting a tail, then we find the probability of getting a 1 we multiply the probability of getting a one on the spinner and a tail on the flip.
\(undefined\)3. Find the derivative dy for the given y in the parts below. dx (a) (5 points) y = ²x (b) (10 points) y = x³e² (c) (10 points) y = In dy for the given y in the parts below. dx (a) (5 points) y = x
The derivative of y with respect to x is found for three given functions.
(a) dy/dx = 2x for y = \(x^{2}\).
(b) dy/dx = 3\(x^{2}\)\(e^{2}\) for y = \(x^{3}\)\(e^{2}\).
(c) dy/dx = 1/x for y = ln(x).
(a) For the function y = \(x^{2}\), we can find the derivative using the power rule. The power rule states that if y = \(x^{n}\), then the derivative of y with respect to x is dy/dx = n\(x^{n-1}\). In this case, n is 2, so applying the power rule gives us dy/dx = 2\(x^{2-1}\) = 2x. Therefore, the derivative of y = \(x^{2}\) with respect to x is dy/dx = 2x.
(b) To find the derivative of y = \(x^{3}\)\(e^{2}\), we need to use the product rule. The product rule states that if y = uv, where u and v are functions of x, then the derivative of y with respect to x is dy/dx = u * dv/dx + v * du/dx. In this case, u =\(x^{3}\) and v = \(e^{2}\). Taking the derivatives, we have du/dx = 3\(x^{2}\) and dv/dx = 0 (since\(e^{2}\) is a constant). Applying the product rule, we get dy/dx = \(x^{3}\) * 0 + e^2 * 3\(x^{2}\) = 3\(x^{2}\)\(e^{2}\). Therefore, the derivative of y = \(x^{3} e^{2}\) with respect to x is dy/dx = 3\(x^{2} e^{2}\)
(c) For the function y = ln(x), we can find the derivative using the chain rule. The chain rule states that if y = f(g(x)), then the derivative of y with respect to x is dy/dx = f'(g(x)) * g'(x). In this case, f(x) = ln(x) and g(x) = x. Taking the derivatives, we have f'(x) = 1/x and g'(x) = 1. Applying the chain rule, we get dy/dx = (1/x) * 1 = 1/x. Therefore, the derivative of y = ln(x) with respect to x is dy/dx = 1/x.
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Find the value of x.
Answer:
x = 24.5
Step-by-step explanation:
given a line parallel to a side of a triangle and intersecting the other 2 sides, then it divides those sides proportionally, that is
\(\frac{6}{27-6}\) = \(\frac{7}{x}\)
\(\frac{6}{21}\) = \(\frac{7}{x}\) ( cross- multiply )
6x = 147 ( divide both sides by 6 )
x = 24.5