Answer:
C. Cos(60°) = Sin(30°)
Step-by-step explanation:
Cos(60°) = 0.5
Sin(30°) = 0.5
Please please please help!
For AABC, AB = 6 and BC = 17. Which of the following is a possible length for AC?
Possible length of the third side of the Triangle must be between 11 and 23.
What is the Range of third side of Triangle ?As the third side of the triangle is between the sum of the sides and difference of the sides excluding both the numbers.
As triangle consist of three sides and it should must be in between two extreme values.
As by the property of Triangle
Third side should be less than sum of the sides and,
it should be greater than difference of the sides.
Sum of the sides = AB + BC = 6 + 17 = 23
Difference of the sides = 17 - 6 = 11
Then the third side will be between 11 and 23 excluding 11 and 23.
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a team loses 7 yards. then they gain 20 yards
Answer:
What’s ur q?
Step-by-step explanation:
Tina wrote the equations 3 x minus y = 9 and 4 x + y = 5. What can Tina conclude about the solution to this system of equations?
Answer:
(2, –3) is a solution to the system of linear equations.
Step-by-step explanation:
Given: Equations:
3x - y = 9 --------(1),
4x + y = 5 --------(2),
Add Equation (1) + Equation (2),
3x + 4x = 9 + 5
7x = 14 ( Combine like terms )
x = 2 ( Divide both sides by 7 ),
From equation 1:
3(2) - y = 9
6 - y = 9
-y = 9 - 6 ( Subtraction 6 on both sides )
-y = 3
y = - 3 ( Multiplying -1 on both sides )
Please help‼️ domain and range‼️
The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an exponential function
The rule of an function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (0, ∝)
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What is the solution to the linear equation? 2.8y 6 0.2y = 5y – 14 y = –10 y = –1 y = 1 y = 10
The solution of the linear equation 2.8y+6+0.2y=5y-14 is y=10.
Given linear equation 2.8y+6+0.2y=5y-14 and we have to find the solution of the equation.
An equation is relationship between two or more variables which is expressed in equal to form. It is solved in order to find the values of variables. Equation of two variables look like ax+ by=x.
The given linear equation is 2.8y+6+0.2y=5y-14 which can be solved as under:
2.8y+6+0.2y=5y-14
We have to add the coefficients of same variables. Coefficients are the numbers which are present with the variable.
3y+6=5y-14
We have to take same variables at one side.
3y-5y=-14-6
-2y=-20
y=-20/-2
y=10
Hence the solution of the linear equation 2.8y+6+0.2y=5y-14 is y=10.
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Find the 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,...
The 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,... is -79.
The nth term of a particular arithmetic sequence can be found by, an = a + (n – 1)d. So in order to find the nth term, substitute the given values \(a_{1}\) and d into the formula. So to find the 14th term, substitute n = 14 into the equation which is the nth term.
Given,
\(a_{1}\)= x-1x-1
\(a_{2}\)= 7x-77x−7
\(a_{3}\)= 13x-13
n= 14
We have to find the common difference d from differences in adjacent terms \(a_{1}\),\(a_{2}\),\(a_{3}\) . That is,
\(a_{2}-a_{1} =a_{3} -a_{2}\)
\(7x-77x-7-(x-1x-1)=13x-13-(7x-77x-7)\)
\(7x-77x-7-x+x+1=13x-13-7x+77x+7\\-70x-8x=-6+6\\-78x=0\\ x=0\)
Put x=0 in x-1x-1, 7x-77x-7, 13x-13
Therefore,
\(a_{1}\) = -1
\(a_{2}\) = -7
\(a_{3}\) = -13
Then, d will be \(-7-(-1)\) or \(-13-(-7)\)
So, d= -6
Put \(a_{1}\), d, and n in the equation \(a_{n} =a+(n-1)d\) to find the 14th term.
Therefore,
\(a_{14}=-1+(14-1)-6\\ =-1-78\\=-79\)
The 14th term of the given arithmetic sequence is -79
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Classify the following alcohol as primary, secondary or tertiary. CH3CH(OH)CH₂CH3 B. secondary A. primary C. tertiary
The chemical formula (CH₃CH(OH)CH₂CH₃) is an example of a tertiary alcohol. Then the correct option is C.
What is tertiary alcohol?Because of the presence of this hydroxyl group, alcohols may establish hydrogen bonds with their atomic nuclei. Because the bonds formed are weak, the vapor pressure of alcohols is greater than those of their alkanes.
The chemical formula is given below.
CH₃CH(OH)CH₂CH₃
Then the chemical formula (CH₃CH(OH)CH₂CH₃) is an example of a tertiary alcohol.
Then the correct option is C.
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(11 + 4) ÷ 3 × \(\sqrt{64}\)
Answer:
40
Step-by-step explanation:
The answer should be 40 assuming that there are positive real numbers.
You simplify the radical into a product with known factors
sorry If that doesnt make sense lol
How do I solve this equation?
Answer:
\(x>\frac{83}{15}\)
Step-by-step explanation:
STEP 1: Simplify \(\frac{x-5}{2} +\frac{2}{5}>\frac{2}{3}\)
\(\frac{5x-21}{10}>\frac{2}{3}\)
STEP 2: Multiply both sides of the equation by \(10\).
\(\frac{5x-21}{10}>\frac{2}{3}*(10)\)
STEP 3: Remove parentheses.
\(\frac{5x-21}{10}>\frac{2}{3}*(10)\)
STEP 4: Multiply \(\frac{2}{3}*(10)\)
\(\frac{5x-21}{10}>\frac{20}{3}\)
STEP 5: Move all terms not containing \(x\) to the right side of the inequality.
\(5x>\frac{83}{3}\)
STEP 6: Divide each term by \(5\) and simplify.
\(x>\frac{83}{15}\)
STEP 7: The result can be shown in multiple forms.
Inequality Form:
\(x>\frac{83}{15}\)
Interval Notation:
\((\frac{83}{15}\),∞\()\)
Bill's Grill is a popular college restaurant that is famous for its hamburgers. The owner of the restaurant, Bill, mixes fresh ground beef and pork with a secret ingredient to make delicious quarterpound hamburgers that are advertised as having no more than 25% fat. Bill can buy beef containing 80% meat and 20% fat at $0.85 per pound. He can buy pork containing 70% meat and 30% fat at $0.65 per pound. Bill wants to determine the minimum cost way to blend the beef and pork to make hamburgers that have no more than 25% fat. For every problem: 1. Formulate an LP model 2. Find the optimal solution by using Excel Solver and submit Excel Template with your solution results. 3. Provide an interpretation of the Sensitivity Report.
The main answer is to set up a linear programming model to minimize the cost of the hamburger mixture while satisfying the fat and meat content constraints, and then use Excel Solver to find the optimal solution.
To formulate an LP model for Bill's Grill problem, let's define the decision variables and the objective function:
Decision Variables:
Let x be the amount of beef (in pounds) used in the hamburger mixture.
Let y be the amount of pork (in pounds) used in the hamburger mixture.
Objective Function:
Minimize the cost of the hamburger mixture: Cost = 0.85x + 0.65y
Subject to the following constraints:
1. Fat Constraint: The fat content in the hamburger mixture should be no more than 25%.
0.20x + 0.30y ≤ 0.25(x + y)
2. Meat Constraint: The meat content in the hamburger mixture should be at least 75%.
0.80x + 0.70y ≥ 0.75(x + y)
3. Non-negativity Constraint: The amounts of beef and pork used should be non-negative.
x ≥ 0
y ≥ 0
By solving this linear programming model using Excel Solver, you can find the optimal solution that minimizes the cost while satisfying the fat and meat content constraints. The sensitivity report generated by Excel Solver will provide valuable information about the solution, including the shadow prices (dual values) associated with the constraints, which represent the rate of change in the objective function with respect to the constraint coefficients.
Please note that the Excel template and detailed solution results would require a specific file format that cannot be provided through this text-based interface. I recommend using Excel software with Solver add-in to set up and solve the LP model for Bill's Grill problem.
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Use the discriminant to describe the solutions as one real, two real, or two imaginary solutions.
x^2 - 15x + 12 = 0
Answer:
2 real solutions.
Step-by-step explanation:
Discriminant
\(\boxed{b^2-4ac}\quad\textsf{when}\:ax^2+bx+c=0\)
\(\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}.\)
\(\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}.\)
\(\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}.\)
Given equation:
\(x^2-15x+12=0\)
Therefore:
a = 1b = -15c = 12Substitute these values into the discriminant formula:
\(\begin{aligned}\implies b^2-4ac&=(-15)^2-4(1)(12)\\&=225-48\\&=177\end{aligned}\)
Therefore, as b² - 4ac > 0 there are two real solutions.
What is the change from -9 to -1?.
Answer:
Positive 8
Step-by-step explanation:
Since they're both negative numbers and it went from -9 to -1, you had to have added a positive number to get a lesser negative number. To put it simply, if you were to subtract 8 from 9, you'd get 1.
determine which of the following (if any) regarding multicollinearity are true. i. we can calculate the amount of collinearity by using the vif. ii. if some predictor variables in the model are highly correlated with each other, this will generally have no impact on the model. iii. when an f test is significant, but none of the t tests are significant, we can rule out multicollinearity as the cause.
The first statement is true, while the second and third statements are false. Multicollinearity can impact the model and can lead to misleading results, even if some predictor variables are highly correlated with each other. Additionally, the significance of F-test alone cannot rule out the possibility of multicollinearity.
i. The first statement is true. The Variance Inflation Factor (VIF) can be used to measure the amount of collinearity in the model. VIF is a measure of the amount of correlation between a predictor variable and the other predictor variables in the model. Higher VIF values indicate higher levels of collinearity. Typically, a VIF value greater than 10 indicates a problematic level of collinearity.
ii. The second statement is false. If some predictor variables in the model are highly correlated with each other, it can lead to multicollinearity, which can impact the model's results. Multicollinearity can make it difficult to interpret the individual effect of each predictor variable on the outcome variable, and it can also increase the standard errors of the regression coefficients. This can result in reduced statistical power, decreased predictive accuracy, and misleading results.
iii. The third statement is also false. A significant F-test indicates that at least one of the predictor variables in the model is related to the outcome variable, but it does not rule out the possibility of multicollinearity. If none of the t-tests are significant, it could be due to a lack of statistical power or the presence of multicollinearity, which can make it difficult to detect the individual effects of each predictor variable.
To test for multicollinearity, one can examine the VIF values or use other diagnostic tests, such as the condition number or tolerance values. If multicollinearity is detected, one can consider removing one of the highly correlated predictor variables or using techniques like regularization to address it.
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A box of laundry detergent contains 16.5 oz of product. What is the maximum number of loads that can be washed if each load requires a minimum of 3/4 oz of detergent?
A) 22 loads
B) 16.5 loads
C) 10 loads
D) 50 loads
E) 18 loads
Answer:
A
Step-by-step explanation:
A right rectangular prism is packed with cubes of side length fraction 1 over 5 inch. If the prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height, what is the volume of the prism?
Answer:
3.6 in³
Step-by-step explanation:
If each cube is 1/5 inch:
15 cubes along the length = 15÷5 = 3 inches
5 cubes along the height = 5÷5 = 1 inch
6 cubes along the width = 6÷5 = 1.2 inches (1 and 1/5)
V=lwh=3*1*1.2= 3.6 in³
t/f if f '(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6.
The statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false. This statement is False. If f'(x) = g'(x) for 0 < x < 6, it means that the derivatives of both functions are equal on the interval (0, 6).
However, this does not necessarily mean that the functions themselves are equal on that interval.
In other words, there could be a constant difference between f(x) and g(x), which would not affect their derivatives.
To illustrate this, consider the functions f(x) = x^2 and g(x) = x^2 + 1. The derivative of both functions is 2x, which is equal for all values of x.
However, f(x) and g(x) are not equal on the interval (0, 6), as g(x) is always greater than f(x) by 1.
Therefore, the statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false.
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In 2022, Skylar sold equipment for $99,800 cash and a $998,000 note due in two years. Skylar's cost of the property was $798,400, and he had deducted depreciation of $479,040.
How much gain can be deferred under the installment sale method?
So the amount of gain that can be deferred under the installment sale method is $424,879.16.
What is percent?Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.
Here,
To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.
Selling price = $99,800 cash + $998,000 note = $1,097,800
Adjusted basis = $798,400 - $479,040 = $319,360
Total gain = $1,097,800 - $319,360 = $778,440
To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:
Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%
Now we can calculate the amount of gain that can be deferred using the formula:
Gain deferred = Gross profit percentage × Payments received
Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:
$99,800 + ($998,000 / 2) = $598,800
Substituting into the formula, we get:
Gain deferred = 0.7097 × $598,800 = $424,879.16
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Point M is the midpoint of AB. The coordinates of point A are (−6, 1) and the coordinates of M are (−2, 3). What are the coordinates of point B?
If the coordinates of point A are (- 6, 1) and the coordinates of M are
(- 2, 3) then coordinates of B are (2, 5).
What is a midpoint of a line?A midpoint of a line (x, y) divides a line segment into two equal parts
by the formula x = (x₁ + x₂)/2 and y = (y₁ + y₂)/2.
Given, Point M is the midpoint of AB.
The coordinates of point A are (- 6, 1) and the coordinates of M are (- 2, 3).
Therefore, The coordinates of point B are,
- 2 = (- 6 + x₂)/2 and 3 = (1 + y₂)/2.
- 4 = - 6 + x₂ and 6 = 1 + y₂.
x₂ = 2 and y₂ = 5.
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PLS H ELP ME ANSWER THIS IN THE NEXT 5 MINUTES
Answer:
Step-by-step explanation:
2 hours/x speed
2.25 hours/x+5 speed
.25 hours/5 speed
20 mph
20 miles/1 hour
40 miles/2 hours
Answer:
I think it is 9
3 |h + 12| = 21h absolute value show full work
Answer:
2
Step-by-step explanation:
\(3|h+12|=21h \\ \\ |h+12|=7h \\ \\ h+12=\pm 7h \\ \\ 12=h(-1 \pm 7) \\ \\ h=2, -1.5\)
Of these, only h=2 satisfies the original equation.
Help pleaseeeeee thank you please don’t answer if you don’t know
Solve: 5x² = -18x + 8
Answer: x=-4
Step-by-step explanation:
Identify whether each phrase is an expression, equation, or inequality.
Term
Phrase
Equation
<6
y
Expression
3-21
Inequality
4y +8=9
Answer:
Step-by-step explanation: 4y+8=9 is an equation. 3-2 is an expression. 7y<6 is an inequality!
Answer:
4y+8=9 is an equation. 3-2 is an expression. 7y<6 is an inequality!
Step-by-step explanation:
please help will mark brainliest
Answer:
A. (-4,2)
Step-by-step explanation:
Last year, 240 new houses were built in a neighborhood. So far this year,
5
of them have been sold. How many new houses have been sold this year?
write your answer in simplest form.
Answer: 0 have been sold this year last year 5 were sold so there is 235 left
Step-by-step explanation:240-5=235
Answer:
At least 5 that were built last year were sold, but we cannot know how many in total were sold this year. Trick question.
Kia deposits $2650 into an account the internet rate on the account is 6% compounded annually annually what is the balance in Kia’s account after 2 years? After 3 years
The balance in Kia’s account after 2 years is $2,977.54
The balance in Kia’s account after 3 years is $3,156.19
What is future value of the deposit?
The future value of the deposit, is the equivalent future worth of the deposit after having earned interest over the 2-year and 3-year periods using the future value formula of a single cash flow as shown below:
FV=PV*(1+r)^N
FV=balance after 2 and 3 years
PV=initial deposit=$2,650
r=interest rate=6%
N=number of years 2 and 3 years respectively
FV(2 years)=$2,650*(1+6%)^2
FV(2 years)=$2,977.54
FV(3 years)=$2,650*(1+6%)^3
FV(3 years)=$3,156.19
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A door is fixed at the point O. Ben opened it by an angle of 30°. The area swept by the door was {25}{12}\pi\
Answer:
5 units
Step-by-step explanation:
Area swept by the floor will be the area ofd a sector
Area of a sector = theta/2π * πr²
We are to find the radius r
Given
Area= 25π/12
theta = 30° = π/6
Substitute
25π/12 = 30/360 * πr²
25π/12 = 1/12 * πr²
25/12 = r²/12
r² = 25
r = √25
r = 5
Hence the radius od the part swept by the door is 5 units
Use the difference of two squares to find each product.
22 * 28
Answer:
616
Step-by-step explanation:
22 * 28 = (25 - 3)(25 + 3) = 25^2 - 3^2 = 625 - 9 = 616
W+15x-9y+2z
Terms:
Coefficients:
In the problem given:
W + 15x - 9y + 2z
The term are single mathematical expressions that separate values.
In the expression, there is a + and -; these concludes 2 terms.
There are 3 coefficients next to each variable.
The coefficients are 15x, -9y, and 2z.
That means there are 3 coefficients.
Cheers
- ROR
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\( \sf{W \rightarrow coefficient = 1} \)\( \sf{15x \rightarrow coefficient = 15} \)\( \sf{-9y\rightarrow coefficient = -9} \)\( \sf{2z\rightarrow coefficient = 2} \)
____________________________________
\( \large \tt Solution \: : \)
Term refers to each variable or constant separated by a mathematical operator.
Coefficient refers to the numberic part of variable or a constant number present in an expression.
\(\qquad \tt \rightarrow \: 12a - 10b + 6\)
\( \large\textsf{Terms :} \)
\( \texttt{W } \)\( \texttt{coefficient = 1} \)
\( \texttt{15x} \)\( \texttt{coefficient = 15} \)
\( \texttt{-9y} \)\( \texttt{coefficient = -9} \)
\( \texttt{ 2z} \)\( \texttt{coefficient= 2} \)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Can anyone calculate the rise/run for this?
Answer:
0
Step-by-step explanation:
The slope of any horizontal line will be zero.
Answer:
slope = m = rise/run = 0/8 = 0
Step-by-step explanation:
Well rise/run is how much it rises over how much it runs.
Note it rises by 0 so 0 on top,
Therefore;
no matter it be 0/1 or 0/1241213261238126836128361 the rise/run also known as slope is always gonna be 0
Reasoning:
0 divided by anything is always 0
Hope this helps