The measure of each base angle is 34 degrees and the measure of the vertex angle is 112 degrees
Find the diagram attached.
The base of the isosceles triangle is "b".
Since the base angles are equal, hence the sum of the interior angle is expressed as:
b + b + 112 = 180
2b + 112 = 180
2b = 180 - 112
2b = 68
b = 68/2
b = 34 degrees
Hence the measure of each base angle is 34 degrees and the measure of the vertex angle is 112 degrees
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A product is supplied in lots of size 20, 000. The AQL is
specified at 0.25%. Find the normal, tightened and reduced
inspection Single Sampling plan from MIL STD 105E Assuming general
inspection level
For a lot size of 20,000 and an AQL of 0.25%, the Single Sampling plans from MIL STD 105E are as follows:
- Normal Inspection: Sample size of 125, AQL of 0.25%, and RQL of 1.00%.
- Tightened Inspection: Sample size of 32, AQL of 0.10%, and RQL of 0.65%.
- Reduced Inspection: Sample size of 8, AQL of 0.01%, and RQL of 0.10%.
To find the normal, tightened, and reduced inspection Single Sampling plans from MIL STD 105E, we need to specify the lot size and the Acceptable Quality Level (AQL). In this case, the lot size is 20,000 and the AQL is 0.25%.
Using the MIL STD 105E tables, we can determine the sample size (n), the Acceptable Quality Limit (AQL), and the Rejectable Quality Limit (RQL) for each inspection level.
Here are the results for the general inspection level:
Normal Inspection:
- Sample Size (n): 125
- AQL: 0.25%
- RQL: 1.00%
Tightened Inspection:
- Sample Size (n): 32
- AQL: 0.10%
- RQL: 0.65%
Reduced Inspection:
- Sample Size (n): 8
- AQL: 0.01%
- RQL: 0.10%
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OAB is a triangle. OA = 4a + 7b
OB = 5a - b
Write AB in terms of a and b. Fully simplify your answer.
Answer:
AB = a - 8b
Step-by-step explanation:
AB = AO + OB
= - OA + OB
= - (4a + 7b ) + (5a - b )
= - 4a - 7b + 5a - b ← collect like terms
= a - 8b
Is 25 a prime number?
No, 25 is not a prime number. It can be divided by 5 without a remainder, so it has factors other than 1 and itself.
A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. In other words, a prime number can only be divided evenly by 1 and by itself. They are considered to be the "building blocks" of the natural numbers, and are important in number theory and other branches of mathematics.
The factors of 25 are 1, 5 and 25. Prime numbers are numbers that are divisible by only 1 and themselves. So 25 is not a prime number.
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a shirt that cost $5 is marked up 20% what is the markup
Answer:
1 dollar
Step-by-step explanation:
20% = .20(percentage to decimal conversion)
.20 * 5 = 1 or 5 * .20 = 1 either way works
(1 point)
5. If m ZAOC = 85°, mZBOC = 2x + 10, and m ZAOB = 4x – 15, find the degree measure of
ZBOC and ZAOB. The diagram is not to scale.
<
G
Om ZBOC = 30°; m ZAOB = 55°
Om ZBOC = 40°; m ZAOB = 45°
Om ZBOC = 45°: m ZAOB = 40°
Om ZBOC = 55°; m ZAOB = 30°
3 If the first two statements are true, is the third statement true? 1. All dogs like walks. 2. Bandit doesn't like walks. 3. Bandit is not a dog. Yes, it's true B No, it's false C Uncertain, there's not enough information OK✔
Answer: Bandit is not a dog
3rd satment is true
Step-by-step explanation
Find the area of the polygon.
Need help ASAP. Will give brainliest if possible. :)
Answer:
\((30 \times 30) + ( \frac{1}{2} \times (30 + 15) \times 30 \\ 900 + 675 \\ 1575\)
A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation 23 + 6,2 - 27x= 140 can be used to find x. Height: (x+9) in. Width: (2 - 3) in Length: xin. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer. O The length is 7 inches, the width is 4 inches, and the height is 16 inches. O The length is 5 inches, the width is 2 inches, and the height is 14 inches. O The length is 4 inches, the width is 1 inch, and the height is 13 inches. O The length is 3 inches, the width is O inches, and the height is 12 inches.
For this case we have the following equation for the volume:
\(x^3+6x^2-27x=140 < br/ >\)
Rewriting the equation we have:
\(x^3+6x^2-27x=140=0 < br/ >\)
We factor the equation to find the roots of the polynomial.
We have then:
\((x-5)(x+4)(x+7)=0 < br/ >\)
Then, we discard the negative roots, because the dimensions of the figure must be positive.
We have then that the length is:
\(x=5 < br/ >\)
The height is:
\(x+9=5+9=14 < br/ >\)
The width is:
\(x-3=5-3=2 < br/ >\)
Thus, the dimensions are:
\(5*14*2 < br/ >\)
Answer:
The length is 5 inches, the width is 2 inches, and the height is 14 inches.
Ten out of every 32 people surveyed play Among Us. What percent of people surveyed play Among Us?
Answer:
31.25%
Step-by-step explanation:
Hope this helps
Answer:
31.25%
pls give brainliest
Step-by-step explanation:
how to find slope of tangent line using implicit differentiation
Solve for dy/dx: dy/dx = (-2x) / (2y) = -x / y which gives the slope of tangent line using implicit differentiation
To find the slope of a tangent line using implicit differentiation, follow these steps:
1. Start with the given equation that represents the relationship between x and y in the form of an equation involving both variables, for example: F(x, y) = 0.
2. Differentiate both sides of the equation with respect to x using the chain rule whenever necessary. Treat y as a function of x and apply the derivative rules accordingly.
3. After differentiating, have a resulting equation involving both x, y, and their derivatives (dy/dx). Rearrange the equation if necessary to isolate dy/dx on one side.
4. Solve for dy/dx to find the derivative of y with respect to x. This will give the slope of the tangent line at any given point on the curve defined by the implicit equation.
Note: The resulting expression for dy/dx may involve both x and y variables. To find the slope of the tangent line at a specific point, substitute the coordinates of that point into the expression for dy/dx.
Here's an example to illustrate the process:
Given the implicit equation: \(x^2 + y^2 = 25\)
1. Start with the equation: \(x^2 + y^2 = 25.\)
2. Differentiate both sides with respect to x:
2x + 2y * (dy/dx) = 0
3. Rearrange the equation to isolate dy/dx:
2y * (dy/dx) = -2x
4. Solve for dy/dx:
dy/dx = (-2x) / (2y)
= -x / y
Now, have the expression for the slope of the tangent line in terms of x and y. To find the slope at a specific point, substitute the coordinates of that point into the expression.
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if+the+correlation+between+two+variables+is+.496,+how+much+of+the+variance+has+not+been+accounted+for?++a.+24.6%++b.+49.6%++c.+50.4%++d.+75.4%
The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.
If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.
A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.
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Parallel to y=2x-1 through (4, -5)
Given :-
y = 2x -1 A point (4,-5)To Find :-
The equation of line parallel to the given line and passing through the given point .Solution :-
As we know that the slope of two parallel lines are same . So , the given equation is ,
\(\sf\longrightarrow\) y = 2x -1
On comparing to the slope intercept form of the line we have ,
\(\sf\longrightarrow\) m = 2
Hence the slope of the parallel line will be 2 .
Now here we can use the point slope form of the line as ,
\(\sf\longrightarrow\) y - (-5) = 2( x - 4)
\(\sf\longrightarrow\) y + 5 = 2x -8
\(\sf\longrightarrow\) 2x - y -8 -5 = 0
\(\sf\longrightarrow\) 2x - y -13 = 0
Hence the required answer is 2x - y -13 = 0.
For 23 years, Janet saved $1,150 at the beginning of every month in a fund that earned 3.25% compounded annually. a. What was the balance in the fund at the end of the period? Round to the nearest cent Round to the nearest cent b. What was the amount of interest earned over the period?
The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.
a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.
To calculate the balance, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.
In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:
Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683
Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:
A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51
Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.
b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:
Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance
Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49
Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.
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19. The results of a board game are shown in the table below.
Player
Scores
Joseph
500
Sarah
-1,500
Malachi
-2,200
Tyson
400
Shaun
-600
Summer
-300
I
What is the total of the players' scores?
The dial on a combination lock contains markings which represent the numbers from 0 to 39. How many 3- number combinations are possible if the first and the second must be different odd numbers, while the third number must not be an odd number?.
There are 64000 distinct combinations .
The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.
The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.
How many possible three-number combinations are there?
You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.
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On an exam with m = 52, you have a score of X = 56. Which value for the standard deviation would give you the highest position in the class distribution?
A. s = 2
B. s = 4
C. s = 8
D. It cannot be determined from the information given.
The value for the standard deviation which gives the highest position in the class distribution is s= 2.
What is Standard Deviation?The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Given:
On an exam with m = 52, you have a score of X = 56.
Using the formula z = (x- \(\mu\)) / \(\sigma\)
Computing z-scores for different standard deviation:
z= (56- 52)/ 2= 4/2 = 2
z= (56- 52)/ 4 = 4/4 = 1
z= (56- 520/ 8 = 4/8 = 0.5
So, The standard deviation with highest z-score gives the highest position in the distribution then
s= 2.
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In 2016, what was the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months
In 2016, the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months is 0.0385
How did we arrive at that?Since form the graph, we know that 77% experienced homelessness and
9% Food Insecurity
If the total sample is 100%
Then the the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months is:
0.05 x 0.77 = 0.0385
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Full Question:
See attached image.
In 2016, what was the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months?
Pls pls pls answer this question!!
Answer:
11
Step-by-step explanation:
3 + \(\sqrt{16}\) ÷ 2 * 4
work for the root first
3 + \(\sqrt{4*4}\) ÷ 2 * 4
3 + 4 ÷ 2 * 4
now divide 4 by 2
3 + 2 * 4
then do multiplication
3 + 8
11
Answer:
11
Step-by-step explanation:
Following the order of operations in PEMDAS
Given
3 + \(\sqrt{16}\) ÷ 2 × 4 ← evaluate the square root
= 3 + 4 ÷ 2 × 4
When multiplication appear on the same line evaluate from left to right
= 3 + 2 × 4
= 3 + 8
= 11
Annie sells a car for $20,000 and earns a 4% commission. How much is her commission?
Answer:
$800
Step-by-step explanation:
Answer:
$800
Step-by-step explanation:
4% of 20,000 is 800 (20,000 / 4).
please someone answer this, “what is the area of triangle ABC?”
Here's the solution,
The given triangle is an equilateral triangle, because it's all angles measure 60° each
now,
Area of an equilateral triangle :
=》
\( \dfrac{ \sqrt{3} }{4} {a}^{2} \)
where,
a = 8 ( side measure )=》
\( \dfrac{ \sqrt{3} }{4} \times 8 \times 8\)
=》
\( \sqrt{3} \times 16\)
=》
\(16 \sqrt{3} \: \: \: cm {}^{2} \)
or
=》
\(27.71 \: \: cm {}^{2} \)
What is the area of 9yd and 5yd and how’d you get it
9514 1404 393
Answer:
45 yd²
Step-by-step explanation:
The area of a rectangle is the product of its length and width. If your given measures are the length and with of a rectangle, the area is found by multiplying them.
A = LW
A = (9 yd)(5 yd) = 9·5 yd·yd = 45 yd²
The area of a 9 yd by 5 yd rectangle is 45 square yards.
Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 25 cm2
The rate of increase in the area of the square is 70 cm²/s when the area of the square is 25 cm².
Each side of a square is increasing at a rate of 7 cm/s. The area of the square is 25 cm².
The area of the square is given by A = a²
Where A is the area of the square and a is the length of the side of the square.
Differentiate both sides of the equation with respect to time we get:
dA/dt = 2a.da/dt
Substitute a = √A in the above equation to get:
dA/dt = 2√A.da/dt
Substitute A = 25 and da/dt = 7 in the equation dA/dt = 2√A.da/dt to get:
dA/dt = 2 x √25 x 7
dA/dt = 2 x 5 x 7
dA/dt = 70 cm²/s
Therefore, the rate of increase in the area of the square is 70 cm²/s.
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A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. write a function to model the cost of services there and then determine how many services you had if you were charged $25.
The function is f(x) = 15x + 25 and you would have 6 services if you were charged $25
We know that the hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services, therefore:
Let x = number of services, then we can obtain the function as:
f(x) = 15x + 25 (function)
when we further solve the function, we get the answer for how many services one would have if we were charged $25,
f(x) = 15x + 25
115 = 15x + 25
90 = 15x
6 = x
Now, we know that the function is f(x) = 15x + 25 and you would have 6 services if you were charged $25
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solve pls brainliest
Answer:
64/81
Step-by-step explanation:
To find it, you would add the square to each number in the parenthesis. It would look like this:
(8^2)/(9^2)
Find two natural numbers that are multiples of both 12 and 15
Answer:
60 and 120
Step-by-step explanation:
The LCM of 12 and 15 is 60
The smallest natural number that would be a multiple of 12 and 15 would be 60.
To find the second number, all you do is multiply 60 by 2 and you get 120.
(60 * 2 = 120)
Answer:
180 and 420
Step-by-step explanation:
The greatest common factor of 12 and 15 is 3, so the least common multiple will be (12)(15)/3 = 60.
Any natural number multiple of 60 will be an answer to your question. For multiples 3 and 7, your two numbers are 180 and 420.
180 = 12 × 15
420 = 12 × 35 = 15 × 28
Write a variable expression that represents the following word phrase: three more than two times the difference of x and one. Please help
Answer:
2(x-1)+3
Step-by-step explanation:
Lets solve it
\(\\ \rm\Rrightarrow 2(x-1)+3\)
\(\\ \rm\Rrightarrow 2x-2+3\)
\(\\ \rm\Rrightarrow 2x+1\)
Answer:
\(3 \: more \: than \: means \: add \: 3 \\ then \: 2(x - 1) + 3 \\ = 2x - 2 + 3 \\ =2x + 1 \\ thank \: you\)
If f (x) = 3 x squared and g (x) = 4 x cubed + 1, what is the degree of (f circle g) (x)?
2
3
5
6
The correct answer for given question is 6.
If every element of a non-empty set X has only one image or range to a non-empty set Y, a relation 'f' is said to be a function.
Or
If 'f' is the function from X to Y and (x,y) f, then f(x) = y, where y is the image of x and x is the preimage of y under function f. It is written as;
f: X → Y.
In accordance with the conditions stated in the question:
f(x) = 3x^2 and g(x) = 4x^3 + 1
The composition of functions is defined as fog(x) = f(g(x)), where the input for the function f(x) is the actual expression of the function g(x) in terms of "x":
f(g(x)) = f(4x^3 + 1)
f(g(x)) = 3(4x^3 + 1)^2
f(g(x)) = 3(4x^3 + 1) (4x^3 + 1)
f(g(x)) = 3(16x^6 + 8x^3 + 1)
f(g(x)) = 48x^6 + 24x^3 + 3
Therefore, the degree of the given expression is 6 (the highest power of the variable ‘x’)
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Erin finds 5% sales tax for a shirt that costs $21. She calculates the tax as
0.05 * 21 = 1.05 or $1.05.
Erin notices that she can add 21 + 1.05 = 22.05 to find the total cost, $22.05.
She uses the Distributive Property to write (1 * 21) + (0.05 * 21) = 1.05 * 21.
For each item, write the total cost of
the item as the product of two
numbers.
Tax
1.05 x 21
a.
b.
c.
d.
Item Name Price Tax Rate
shirt
$21.00 5%
bicycle $45.90 7%
shoes
$67.50 6%
laptop $299.99 8%
$39.95 4%
Credit Debit Subtotal
Check Cash
Tax
Order total
Print Receipt Cash
video game
$474.34
Answer:
Step-by-step explanation:
a. Bicycle (1.07 x 45.90)
b. Shoes (1.06 x 67.50)
c. Laptop (1.08 x 299.99)
d. Video Game (1.04 x 39.95)
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob's cost for his truck was $112.96 for 138 miles. Carl's cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck? Round to the nearest hundredth if necessary. y = 71 x minus 29.82 y = 25 x minus 66 y = 0.42 x + 71 y = 0.42 x + 55
Answer:
D. y = 0.42x + 55
Step-by-step explanation:
Let the equation for the cost of the truck be represented by y = mx + b,
where y = cost of truck per mile, x = number of miles, m = charge of the truck per mile and b = rental fee.
We are given that,
Cost for Bob's truck ( y ) = $112.96 for x = 138 miles, and
Cost for Carl's truck ( y ) = $142.78 for x = 209 miles.
This gives us the equations,
142.78 = 209m + b
112.96 = 138m + b
Subtracting these equations, we get,
29.82 = 71m
i.e. m = 0.42
Substituting the value of ' m ' in first equation, we get,
142.78 = 209 × 0.42 + b
i.e. 142.78 = 87.78 + b
i.e. b = 55.
Hence, the equation for the cost of the truck is y = 0.42x + 55
Answer:
d.y = 0.42 x + 55
Step-by-step explanation:
find the slope of (0,-1) (3,5)
The slope of the line passes through point (0, -1) and (3, 5) is 2.
What is the Slope of line?a slope of a line is the change in y coordinate with respect to the change in x coordinate. The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx. Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,m = change in y/change in x = Δy/Δx
Here , \(x_{1}=0, x_{2} = 3, y_{1}=-1, y_{2}=5\)
Slope = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
m = \(\frac{5 - (-1))}{3 - 0}\)
m = \(\frac{6}{3}\)
m = 2
Thus, the slope of the line passes through point (0, -1) and (3, 5) is 2.
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Slope (m) of the given points is 2.
Step-by-step explanation:1. Formula to use.Since the exercise asks to find the slope of these two ordered pairs, let's use the slope formula for linear equations.
Formula: \(\dfrac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
2. Name the ordered pairs (can be done arbitrarily).Point 1: (0, -1)
Since this is point 1, then:
\(x_{1} =0;\\ \\y_{1} =-1.\)
Point 2: (3, 5)
Since this is point 2, then:
\(x_{2} =3;\\ \\y_{2} =5.\)
3. Use the formula to calculate.Simply substitute the variables in the formula by the values that we just named.
\(m=\dfrac{y_{2} -y_{1} }{x_{2} -x_{1} }=\dfrac{(5) -(-1) }{(3)-(0) }=\dfrac{5+1 }{3-0 }=\dfrac{6}{3} =2\)
4. Express the answer.Slope (m) of the given points is 2.
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