Answer:
can you take a picture of the options?
Step-by-step explanation:
Mary basic salary was 3. 700 plus 25 perecnt overtime payment last month how much did she receive altogether last month
Mary's total payment last month can be calculated by adding her basic salary to her overtime payment. Mary received a total payment of $4,625 last month.
Her basic salary was $3,700.
To find out the amount of her overtime payment, we need to calculate 25% of her basic salary.
25% of $3,700 can be found by multiplying $3,700 by 0.25 (since 25% is equivalent to 0.25).
So, 25% of $3,700 is $925 ($3,700 x 0.25 = $925).
Now, we can find Mary's total payment by adding her basic salary and her overtime payment.
$3,700 + $925 = $4,625
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Find the quotient. Your answer should be in simplest form.
-4/5 divided by 8/9
What is the value of x?
6+8x/2 = 5x
Answer:
Step-by-step explanation:
6 + 4x = 5x
6 = x
Write an algebraic expression that represents each verbal expression: 6 times a number plus 3
\(\huge \text{Hello there! :)}\)
Answer:
The algebraic expression is as followed:
➛ \(\huge \text{6(n+3)}\)Step-by-step explanation:
Given the following question:
➛ 6 × a number➛6 × n➛plus 3 ➛ equals6(n+3)what is a algebraic expression?It's an equation built up by integers, variables, and many different operations like addition and subtraction.In this case 6 and 3 are the integersn is the variable6 times and + 3 are the operationsAll form together to make a algebraic expression.Hope this Helps! :)If you have any doubts about my answer please let me know.
\(-Nature-\)
\(\huge \text{Thanks for choosing Brainly! :)}\)
A flight averages 460 miles per hour. the return flight averages 500 miles per hour because of a tailwind. the total flying time is 4 hours and 48 minutes. how long is each flight?
what are the two dimensions on the retail positioning matrix?
The Retail Positioning Matrix is a tool used in retail marketing that helps to visualize and evaluate potential positioning strategies. It is composed of two main dimensions: price and quality.
While quality relates to the perceived value of a product or service in terms of its features, advantages, and performance, price is the amount of money consumers are prepared to pay for a good or service.
High price/high quality, high price/poor quality, low price/high quality, and low price/low quality are the four quadrants that the matrix divides price and quality into.
Retailers can choose which positioning approach will work best in a particular market by looking at each of these four quadrants, which each feature a different positioning strategy.
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The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24.Find the area of the triangle
Answer:
Given, hope it helps!
Step-by-step explanation:
Perimeter= 510 feet
Perimeter is the sum of sides so..
16x + 11x + 24x = 510
51x = 510
x = 510/51 = 10
(10*24), (10*11), (10*16)
So the sides are 160ft 110ft and 240ft
Area is equal to √s(s-a)(s-b)(s-c)
where s is the semiperimeter= 510/2 = 255
and a, b and c are the sides
area =
√ 255(255-240)(255-110)(255-160)
= √ 255*15*145*95
= √ 52,689,375
= 7258.74 feet ^2
Answer:
A=7258.74472
Step-by-step explanation:
Multiply the side ratios by x
Add them together to get the perimeter
11x+16x+24x = 510
51 x =510
x = 10
The sides are 110, 160 240
We have to use herons formula
A = sqrt( p (p-a) (p-b)(p-c)) where p is the perimeter/2 and a,b,c are the side lengths
A = sqrt( 510/2 (510/2-110) (510/2-160)(510/2-240))
A = sqrt( 255 (145) (95)(15))
A = sqrt(52689375)
A=7258.74472
The super sub at Sandwich Station consists of 4 different toppings and 3 different condiments. How many different super subs can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from?
Therefore, there are 53,248 different super subs that can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from at Sandwich Station.
The super sub at Sandwich Station consists of 4 different toppings and 3 different condiments. The question is asking how many different super subs can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from.
To solve this problem, we can use the multiplication principle of counting. The multiplication principle states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.
Let's use the multiplication principle to solve this problem. There are four different toppings, and we can choose any of the eight toppings for each of the four spots.
Using the multiplication principle, there are
8 x 8 x 8 x 8 = 4096
ways to choose the toppings. Similarly, there are
6 x 6 x 6 = 216
ways to choose the condiments. Lastly, there are 6 different types of homemade bread to choose from. Using the multiplication principle again, there are
4096 x 216 x 6 = 53,248,
which means there are 53,248 ways to make the super subs.
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Construct a truth table for the following (be sure to include all relevant values): (x+y
′
)(x
′
+z
′
)(y
′
+z)
To construct a truth table for the expression `(x+y′)(x′+z′)(y′+z)`, follow the steps given below:
Step 1: Write the given expression, `(x+y′)(x′+z′)(y′+z)`.
Step 2: List out all possible combinations of the given variables in a table. There are three variables x, y and z, so there will be 2³ = 8 combinations. Let's list them as follows: x=0, y=0, z=0 x=0, y=0, z=1 x=0, y=1, z=0 x=0, y=1, z=1 x=1, y=0, z=0 x=1, y=0, z=1 x=1, y=1, z=0 x=1, y=1, z=1
Step 3: Evaluate the expression `(x+y′)(x′+z′)(y′+z)` for each combination of variables, and write the output values in the truth table. To do this, substitute the given variable values in the expression and then simplify to get the output.
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Which ratios from the list are equivalent to 30/50 answer choices 9/15,5/3,150/250,12/20,33/55.
Answer:
150/250
Step-by-step explanation:
There are two identical jars on a table: Jar-A has exactly 380 red jelly beans, and Jar-B has exactly 380 black jelly beans. Suppose you took the scoop that holds exactly 20 jelly beans, and filled it with 20 red jelly beans from A and put them into B. After shaking B to mix the jelly beans, scoop 20 jelly beans from B and put them into A.
(a) Choose the correct statement from the following.
1) There are more red jelly beans expected in B than the black jelly beans expected in A.
2) There are more black jelly beans expected in A than the red jelly beans expected in B.
3) The number of red jelly beans expected in B and the number of black jelly beans expected in A are the same.
4) There is not enough information.
(b) Either mathematically or in plain English, justify your answer.
Option 3) The number of red jelly beans expected in B and the number of black jelly beans expected in A are the same.
(b) Justification: Initially, Jar-A has 380 red jelly beans and Jar-B has 380 black jelly beans. When you scoop 20 red jelly beans from A and put them into B, Jar-B has 380 black jelly beans and 20 red jelly beans. After shaking, you scoop 20 jelly beans from B and put them into A. Since you took out 20 jelly beans from B, it will still have 380 jelly beans. The probability of picking a red jelly bean from B is now 20/380, so you can expect to return approximately
(20/380) × 20 = 20/19 ≈ 1 red jelly bean to A, leaving 19 red jelly beans in B.
Similarly, you can expect to have 20 - 1 = 19 black jelly beans in A,
as you scooped out 20 jelly beans from B. Therefore, the number of red jelly beans expected in B and the number of black jelly beans expected in A are the same.
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please solve this fast
Write the following equation in standard form. Identify the related conic. x' + y2 - 8x - 6y - 39 = 0
The standard form of the equation is (x' - 8x) + (y - 3)^2 = 48
To write the equation in standard form and identify the related conic, let's rearrange the given equation:
x' + y^2 - 8x - 6y - 39 = 0
Rearranging the terms, we have:
x' - 8x + y^2 - 6y - 39 = 0
Now, let's complete the square for both the x and y terms:
(x' - 8x) + (y^2 - 6y) = 39
To complete the square for the x terms, we need to add half the coefficient of x (-8) squared, which is (-8/2)^2 = 16, inside the parentheses. Similarly, for the y terms, we need to add half the coefficient of y (-6) squared, which is (-6/2)^2 = 9, inside the parentheses:
(x' - 8x + 16) + (y^2 - 6y + 9) = 39 + 16 + 9
(x' - 8x + 16) + (y^2 - 6y + 9) = 64
Now, let's simplify further:
(x' - 8x + 16) + (y^2 - 6y + 9) = 8^2
(x' - 8x + 16) + (y - 3)^2 = 8^2
(x' - 8x + 16) + (y - 3)^2 = 64
Now, we can rewrite this equation in standard form by rearranging the terms:
(x' - 8x) + (y - 3)^2 = 64 - 16
(x' - 8x) + (y - 3)^2 = 48
The equation is now in standard form. From this form, we can identify the related conic. Since we have a squared term for y and a constant term for x (x' is just another variable name for x), this equation represents a parabola opening horizontally.
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52.38
B
Which trigonometric ratios are correct for triangle
ABC? Select three options.
30
sin(C) =
3
✓
18
60
cos(B) = ?
С
tan(C) = V3
sin(B) = ?
D tan(B) = 2/3
Next
Subm
Mark this and retum
Answer:
\( \sin(c) \: = \frac{ \sqrt{3} }{2} \)
\( \tan(c) = \sqrt{3} \)
\( \sin(b) = \frac{1}{2} \)
The ratios that are correct for the triangle are as follows:
sin B = 1 / 2sin C = √3 / 2tan C = √3Trigonometric ratios
The simplest trigonometric ratios are as follows:
sin ∅ = opposite / hypotenusecos ∅ = adjacent / hypotenusetan ∅ = opposite / adjacentAB = √18² - 9²
AB = √324 - 81
AB= √243
AB = 9√3
Therefore, the trigonometric ratio that are correct for the triangle are as follows;
sin B = 9 / 18 = 1 / 2sin C = 9√3 / 18 = √3 / 2 tan C = 9√3 / 9 = √3learn more on trigonometric ratios here: https://brainly.com/question/6459892?referrer=searchResults
Propagate the error for the following functions. Errors for variables are known, e.g. σx for x, and so on. a. y=5asin(x) a is a constant b. y=ax+2z a is a constant c. y=bxz2 b is a constant d. y=bln(x)b is a constant e. f(x,y)=yx2+y2 f. f(x,y)=x+yx−y
To propagate the error for the given functions, we can use the rules of error propagation.
Let's consider each function separately:
a. For the function y = 5asin(x), where a is a constant:
To propagate the error, we need to consider the derivative of the function with respect to x. In this case, the derivative is cos(x).
Therefore, the propagated error for y is σy = |5a * cos(x) * σx|.
b. For the function y = ax + 2z, where a is a constant:
The propagated error for y is σy = |a * σx + 2 * σz|.
c. For the function y = \(bxz^2\), where b is a constant:
The propagated error for y is σy = \(|(xz^2)\)* σb + (2bxz) * σx + (2bxz) * σz|.
d. For the function y = bln(x), where b is a constant:
The propagated error for y is σy = |(b/x) * σx|
e. For the function f(x, y) = \(yx^2 + y^2:\)
To propagate the error for this function, we need to consider the partial derivatives of f with respect to x and y. The propagated error for f is given by:
σf =\(sqrt((∂f/∂x)^2 * σx^2 + (∂f/∂y)^2 * σy^2),\)
where ∂f/∂x is the partial derivative of f with respect to x, and ∂f/∂y is the partial derivative of f with respect to y.
f. For the function f(x, y) = x + y/(x - y):
The propagated error for f is σf = \(sqrt((∂f/∂x)^2 * σx^2 + (∂f/∂y)^2 * σy^2),\)
where ∂f/∂x is the partial derivative of f with respect to x, and ∂f/∂y is the partial derivative of f with respect to y.
Please note that these formulas assume that the errors in the variables (σx, σy, σz, etc.) are independent and have Gaussian distributions.
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Necesito ayuda con mate
Answer:
1.) x = 10
2.) x = 5
3.) x = 3
4.) x = 27
5.) x = 30
6.) x = 29
7.) x = 7
8.) x = 32
9.) x = –4
10.) x = 60
Andrea ordered a pizza for dinner. She ate 1/4 of the pizza. Her brother ate 35% of the pizza. Her mom ate .10 of the pizza. How much pizza is left?
Answer: 0.3, 30%, or 3/10
Step-by-step explanation:
Andrea ate 1/4 of the pizza.
1/4 = 0.25
Her brother ate 35% of the pizza.
35% = 0.35
Her mom at 0.10 of the pizza.
1 - 0.25 - 0.35 - 0.10 = 0.3 of the pizza
0.3 = 30% = 3/10
Write cos 16° in terms of the sine.
a.
sin 164°
c.
sin 84°
b.
sin 74°
d.
sin 16°
Answer:
b
Step-by-step explanation:
cos 16 = sin (90 - 16) = sin 74
Consider the expression 8-6x+x^2, Is the expression equivalent to (x-4)(x-2)?
Answer:
Yes
Step-by-step explanation:
Factoring is the process of breaking a polynomial into its factors.
Standard Form
It is easiest to factor when in standard form. Standard form is when the terms are listed from highest power to lowest.
Standard form is \(x^2-6x+8\)Factoring
To find if two expressions are equal we can either factor the quadratic or multiply out the binomials. I find factoring to be faster and easier, so I will show that.
There are multiple techniques to factor; I will be explaining one of them. One way to factor quadratics is to find 2 numbers that multiply to c (the constant) and sum to b (the second term). In this case, the numbers -4 and -2 fit these requirements.
-4 * -2 = 8-4 + -2 = -6This means that \(x^2-6x+8\) factored is \((x-4)(x-2)\). Thus, they are equivalent.
What is the slope of the line that contains the points (1,4) and (4,8)
Answer:
i think 4/3 is the answer
what is 60 divided by 95 (or is it the other way around?)
Answer:
it would be 95 divided by 60
Step-by-step explanation:
but the answer to that is 1.5833333333333333333
Find the least-squares regression line y^=b0+b1x through the points
(−2,2),(2,9),(5,13,(7,19),(10,24),
and then use it to find point estimates y^ corresponding to x=1 and x=7.
For x=1, y^ =
For x=7, y^ =
The point estimate for least-squares regression line x=1 is approximately 3.85, and the point estimate for x=7 is approximately 24.02.
What is coefficient of linear regression?In a linear regression, the coefficient of determination (R-squared) is a statistical indicator that shows how much of the variance in the dependent variable is explained by the independent variable (s). Higher values suggest a better fit of the regression line to the data, and it has a value between 0 and 1. R-squared is derived by dividing the regression's sum of squares (SSR) by the sum of all squares (SST).
The least-squares regression line is given by the formula:
b1 = Σ[(xi - x)(yi - y)] / Σ[(xi - x)²]
The means of x and y:
x = (−2 + 2 + 5 + 7 + 10) / 5 = 4.4
y = (2 + 9 + 13 + 19 + 24) / 5 = 13.4
Substituting the value we have:
Σ[(xi - x)(yi - y)] = (-2-4.4)(2-13.4) + (2-4.4)(9-13.4) + (5-4.4)(13-13.4) + (7-4.4)(19-13.4) + (10-4.4)(24-13.4) = 400.8
Σ[(xi - x)²] = (-2-4.4)²+ (2-4.4)² + (5-4.4)² + (7-4.4)² + (10-4.4)² = 86.8
Thus, the value of:
b1 = Σ[(xi - x)(yi - y)] / Σ[(xi - x)²] = 400.8 / 86.8 ≈ 4.617
Now, for y-intercept we have:
b0 = y - b1x = 13.4 - 4.617(4.4) ≈ -0.767
y = -0.767 + 4.617x
Now, the point estimate is:
For x=1, y = -0.767 + 4.617(1) ≈ 3.85
For x=7, y = -0.767 + 4.617(7) ≈ 24.02
Therefore, the point estimate for x=1 is approximately 3.85, and the point estimate for x=7 is approximately 24.02.
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Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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yo i need some help this determines weather i pass or fail
To make 4 dozen cookies she would need
→ 3/2 cup peanut butter
→ 3 cup of vegetable shortening
→ 1 1/2 cups of firmly packed light brown sugar
→ 6 tablespoons of milk
→ 2 3/2 tablespoons of vanilla extract
→ 2 cups of flour
→ 3/2 teaspoon of baking soda
→ 1/2 teaspoon salt
To make 4 dozen cookies
she will need double the items which are mentioned in the list
thus the required list will look like this
3/4 × 2 = 3/2 cup peanut butter
3/2 cup of vegetable shortening = 3/2 × 2 = 3 cup of vegetable shortening
1 1/4 cups of firmly packed light brown sugar = 1 1/4 × 2 = 1 1/2 cups of firmly packed light brown sugar
3 tablespoons of milk = 3 × 2 = 6 tablespoons of milk
2 3/4 tablespoons of vanilla extract = 2 3/2 tablespoons of vanilla extract
1 large egg = 1× 2 = 2 large eggs
1 1/2 cups flour = 1 1/2×2 = 1 + 1 = 2 cups of flour
3/4 teaspoon baking soda = 3/2 teaspoon of baking soda
1/4 teaspoon salt = 1/4 × 2 = 1/2 teaspoon salt
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Find d.
Write your answer as a whole number or a decimal. Do not round.
Answer:
45 metres
Step-by-step explanation:
24/32=d/60
32d=1440
d=45
Select all of the following problem situations that involve permutations. How many ways can you arrange 4 of the letters of the word SOLVE if no letter can be used more than once
There are 24 ways in which we can arrange 4 letters of the word "SOLVE" if no letter can be used more than once.
Given a word of 4 letters of the word "SOLVE".
We are required to find the number of ways the four letters of the word SOLVE if no letter can be used more than once.
Permutation is an arrangement of objects in a definite order of things.
Factorial of a number is the product of it and its lesser numbers upto 1.
Number of letters=4
Number of ways=4!
=4*3*2*1
=24 ways
Hence there are 24 ways in which we can arrange 4 letters of the word "SOLVE" if no letter can be used more than once.
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"Derive the demand function
Endowment (1,0)
U(x,y) = -e⁻ˣ — e⁻ʸ
To derive the demand function from the given utility function and endowment, we need to determine the optimal allocation of goods that maximizes utility. The utility function is U(x, y) = -e^(-x) - e^(-y), and the initial endowment is (1, 0).
To derive the demand function, we need to find the optimal allocation of goods x and y that maximizes the given utility function while satisfying the endowment constraint. We can start by setting up the consumer's problem as a utility maximization subject to the budget constraint. In this case, since there is no price information provided, we assume the goods are not priced and the consumer can freely allocate them.
The consumer's problem can be stated as follows:
Maximize U(x, y) = -e^(-x) - e^(-y) subject to x + y = 1.
To solve this problem, we can use the Lagrangian method. We construct the Lagrangian function L(x, y, λ) = -e^(-x) - e^(-y) + λ(1 - x - y), where λ is the Lagrange multiplier.
Taking partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we can find the values of x, y, and λ that satisfy the optimality conditions. Solving the equations, we find that x = 1/2, y = 1/2, and λ = 1. These values represent the optimal allocation of goods that maximizes utility given the endowment.
Therefore, the demand function derived from the utility function and endowment is x = 1/2 and y = 1/2. This indicates that the consumer will allocate half of the endowment to each good, resulting in an equal distribution.
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The mode and median of the data set below have the same value. What is the missing number?
[4, 15, 7, 13, ?, 10
please someone help!
(2x+1)(x^2+8x-3)
help standard form
Answer:
\(2x^3+17x^2+2x-3\)
Step-by-step explanation:
\(\left(2x+1\right)\left(x^2+8x-3\right)\\=2xx^2+2x\cdot \:8x+2x\left(-3\right)+1\cdot \:x^2+1\cdot \:8x+1\cdot \left(-3\right)\\=2x^3+17x^2+2x-3\)
In this equation, the variables were isolated to simplify the problem, following the order of operations. Negative-three either became an exponent or positive integer, 3, subtracted by a byproduct of the previous equation.
Find x+y.
Please help
Please help
Answer: x = 12, y = 50
Step-by-step explanation: 2y-5 and 95 are vertical angles and vertical angles are always congruent (equal). So, 2y - 5 = 95. 2y = 100. y = 50. Solving for x is slightly more difficult. 3x and 144 are linear pairs and linear pairs are adjacent and equal 180° because a straight line is 180°. So 3x + 144 = 180. 3x = 36. x = 12.
what is the solution set to the inequality - 3x + 2 > 17