Answer:
x=c-6
Step-by-step explanation:
6+x=c
-6 -6
x=c-6
50pts.
A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?" Let c represent the number of cows. Which equation represents the situation?
c + 2 = 16
2c−2=16
2(c+2)=16
2c + 2 = 16
Answer:
its the 3rd 1
Step-by-step explanation:
39. From the top of a vertical cliff 50 meters high, the angles of depression of an object that is levelled with
the base of the cliff is 30°. How far is the object from the base of the cliff?
A. 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
41. From the top of the building of a food chain, the angle of depression from where Miguel stands is
45°. If the building is 12 meters high, how far is he from it?
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
42. A plane, at an altitude of 3,000 feet, observes the airport at an angle of 27°. What is the
horizontal distance between the plane and the airport to the nearest foot?
A. 3,000 feet
B. 4,000 feet
C. 5,000 feet
D. 6,000 feet
43. An escalator has an angle of elevation of 10° and a vertical rise of 6 m. Find the length of the
escalator.
C. 34.55 m
D. 36 m
A. 6,09 m
B. 34,03 m
Answer: cos4
Step-by-step explanation: 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
simplify [Xn (X'nY)]'.
Answer:
(X'U'Y) + (XUY')
Step-by-step explanation:
Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:
[Xn(X'nY)]' = (Xn)' + (X'nY)'
Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:
(Xn)' + (X'nY)' = (X'U'Y) + (XUY')
where U represents the logical operator "or".
Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').
Solve using the tangent formula(real answers please)
Answer:
21.17
Step-by-step explanation:
tan= opposite/ adjacent
tan(36)= x/29
0.73= x/29
x= 21.17
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The figure is a square, with side lengths as shown.
4√5mm
What are the perimeter and area of the square
The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
To calculate the perimeter and area of the square, we can use the formulas:
Perimeter = 4 * side length
Area = side length * side length
Substituting the given side length of 4√5mm into the formulas, we have:
Perimeter = 4 * 4√5mm = 16√5mm
Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²
Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².
Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.
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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
I took the test on plato.
Write the equation in equivalent logarithmic form.
1
3=81
Answer:
work is shown and pictured
Suppose that triangle ABC is dilated to A’B’C’ by a scale factor of 3 with a center of dilation at the origin. What is the distance from the center of dilation to the midpoint of B’C?
Answer:
6 units i think
Step-by-step explanation:
35% off of a 85 dollar item
The amount after 35% off on a 85 dollar item will be $55.25
What is the percentage?Percentage is a way to express a number as a fraction of hundred. It is often used to represent proportions and ratios in a more convenient and understandable form, especially in financial statistical and financial contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".
To find the sale price of an item that has a discount, you can use the following formula:
Sale price = Original price - (Discount percent × Original price)
In this case, the discount is 35% off of an $85 item. So we have:
Discount percent = 35%
Original price = $85
Substituting these values into the formula, we get:
Sale price = $85 - (35% × $85)
Sale price = $85 - $29.75
Sale price = $55.25
Therefore, the sale price of the item after a 35% discount is $55.25.
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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Yoshio has 3 pieces of fabric. Each piece of fabric has the same length. The total
1
length of the pieces of fabric is 2 yards. What is the length of each piece of fabric?
?
Let x be the length of each piece of fabric in yards.
1) Write an equation to describe the situation.
IC С
2
1
3
c) Three times the length of each piece of fabric is equal to the
total length
Answer:
I believe the answer is 3x = 2 1/4
Explanation:
Three times the length of each piece of fabric is equal to the total length
Use the information to answer the question. The table shows the amount of lemon juice and water that 4 students mix. Student Luca Kal Jenna Micah Lemon Juice Water (fluid ounces) (fluid ounces) 2 6 4 6 10 8 9 B Which two students mix the same ratio of lemon juice to water? Choose two students to show the answer.
The two students that mix the same ratio of juice to water is given as follows:
A. Luca.
D. Micah.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is given as follows:
a to b.
Which is also the division of the two amounts.
Hence the ratio of juice to water for each person is given as follows:
Luca: 2/6 = 1/3.Kal: 6/10 = 3/5.Jenna: 4/8 = 1/2.Micah: 3/9 = 1/3.Hence Luca and Micah used the same ratio, meaning that options A and D are correct.
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the sum of three consecutive integers is 78. what are the three Integers
Answer:
25, 26, and 27 are the three consecutive integers.
Step-by-step explanation:
Let the numbers be represented as x, x + 1 and x + 2.
We can write the equation:
\(x+(x+1)+ (x+2)=78\)
Opening the brackets and simplifying:
\(x+x+1+x+2=78\)
\(3x+3=78\)
Subtract 3 from both sides.
\(3x=75\)
Divide both sides by 3.
\(x=25\)
Since the three consecutive integers are x, x + 1 and x + 2, replace x with 25.
∴ 25, 26 and 27 are the three consecutive integers.
Answer:
25 , 26 and 27
Step-by-step explanation:
What percent of 2 is 32? If necessary, round your answer to the nearest tenth.
Answer:
Below
Step-by-step explanation:
32/2 x 100% = 1600 %
The company has 6 stores. Each store is open an average of 12 hours per day each day of the year. The average sales amount per customer is $4.00. What is the average number of customers who must visit each store per hour to break even for the year
Based on the information given, the average number of customers who must visit each store per hour to break even for the year will be 27.
Calculating the break even.Firstly, the contribution margin ratio will be:
= [(Net income + Fixed cost) / Sales]
= (500,000 + 854,000) / 4,500,000
= 1,354,000 / 4,500,000
= 0.30
Then, the breakeven sales will be:
= Fixed cost / Contribution margin ratio
= 854,000 / 0.30
= 2,846,666.66
Breakeven customers will be:
= Breakeven sales / sales per customer
= 2,846,666.66 / 4
= 711,667
Breakeven customers in each store will be:
= Breakeven customers / number of stores
= 711,667 / 6
= 118,611
Breakeven customers per day will be:
= Breakeven customers in each store / days in a year
= 118,611 / 365
= 325
Breakeven customers per hour will be:
= Breakeven customers per day / hours in a day
= 325 / 12
= 27
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a rectangular playing field measure 350 by 200m if kolade stroll 11 times around what is the answer in km
Answer:
12.1 km
Step-by-step explanation:
350 * 2 = 700
200 * 2 = 400
700 + 400 = 1100
1100 * 11 = 12100
12100 / 1000 = 12.1
12.1 km
Rick Rich owns a Mercedes dealership. Mercedes has 5 models, 4 standard options packages, and 5 colors. If Rick wants to immediately be able to deliver any car (model, option package, color), how many cars must Rick have on hand?
Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).
To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.
With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.
Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.
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What are the domain and the range of function f?
f(x) = x - 6 / x^2 - 3x - 18
range ---> ??
domain ---> ??
The Domain: (-∞, -3) ∪ (-3, 6) ∪ (6, ∞) and Range: (-∞, 0) ∪ (0, ∞).
What is domain?
The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.
According to question:
In this case, the denominator of the function is a quadratic expression, and we know that dividing by zero is undefined. Therefore, we need to find the values of x that make the denominator equal to zero, and exclude those values from the domain.
To find the values that make the denominator equal to zero, we can factor it as follows:
x² - 3x - 18 = 0
(x - 6)(x + 3) = 0
So, the denominator is equal to zero when x = 6 or x = -3. Therefore, the domain of the function is all real numbers except x = 6 and x = -3.
Domain: (-∞, -3) ∪ (-3, 6) ∪ (6, ∞)
The range of a function consists of all possible output values of the function, given the domain of the function.
To find the range of this function, we need to analyze the behavior of the function as x approaches positive or negative infinity.
As x approaches positive infinity, both the numerator and denominator of the function approach positive infinity. Therefore, the function approaches zero.
As x approaches negative infinity, both the numerator and denominator of the function approach negative infinity. Therefore, the function approaches zero.
Since the function approaches zero as x approaches positive or negative infinity, we can say that the range of the function is all real numbers except zero.
Range: (-∞, 0) ∪ (0, ∞).
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How many square feet of outdoor carpet will we need for this hole?
The number of square feet needed to cover the hole is 44ft²
How many square feet of outdoor carpet will we need for this hole?To find this, we need to find the area of the green region and subtract the little square that it has inside.
Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:
A = 12ft*4ft = 48ft²
The little square has an area:
a = 2ft*2ft = 4ft²
Then the area needed is:
area = 48ft² - 4ft² = 44ft²
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A desk drawer contains the different-colored markers listed below. . 12 green markers . 4 blue markers . 20 red markers A marker will be randomly selected from the drawer and it is not replaced. Then another marker will be randomly selected from the drawer. What is the probability that a blue marker will be selected then a red marker?
Answer:
Step-by-step explanation 0% because there is more red markers
Answer: (Don't read this if this is a test)
Step-by-step explanation: I might get this wrong because I was kind of confused too (sorry if I am!)
Hello! The first thing you would want to do for these kinds of questions is to write the probability of a green, blue, or red marker being picked as a fraction. To do this, add 12 + 4 + 20 which is 36.
The probability of picking a green marker - 12/36, partially simplified = 3/9
The probability of picking a blue marker - 4/36, simplified = 1/9
The probability of picking a red marker - 20/36, simplified = 5/9
G - 3/9
B = 1/9
R = 5/9
You know that the probability of picking a blue marker is 1/9. Once you know this, you can figure out the new probability of picking a red marker since the blue marker won't be replaced. The answer is 4/35. Multiply 1/9 by 4/35 to find the probability of picking one after the other and you will get 4/315.
Need help Arc angles
I don’t know how to do this problem help me!!
\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)
Therefore, it's \(2z^5-7z\).
10-10=69.420!!!!!!!!!!
You have a number cube labeled 1-6. What is the probability of rolling an even number?
this might help
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The probability of getting even number is 1/2.
What is probability?
It is a measure of happening or non-happening of outcomes of a random experiment.
Formula for probabilityP(E) = Number of favorable outcomes/Total number of outcomes
According to the given question
We have
A cube labeled 1 to 6
Therefore,
sample space = {1, 2, 3, 4, 5, 6}
⇒ Total number of outcomes = 6
Numbers of even number on a die = { 2, 4, 6}
⇒ Total number of favorable outcomes = 3
So, the probability of getting even number = \(\frac{3}{6} = \frac{1}{2}\)
Hence, the probability of getting even number is 1/2.
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9. Frigid Boards purchases one of its snowboards for $395 less a retail trade discount of 15% and a loyalty discount of 4%. Its markup on selling price percentage on all snowboards is 21%. At the end of the season, any leftover snowboards are marked down by 10%. What is the sale price for the snowboard?
The sale price for the snowboard after the trade and loyalty discount of 15% and 4% will be 351.01 dollars.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Frigid Boards purchases one of its snowboards for $395 less a retail trade discount of 15% and a loyalty discount of 4%. Then the price of the snowboards will be
⇒ $ 395 × 0.85 × 0.96
⇒ $ 322.32
Its markup on selling price percentage on all snowboards is 21%, then we have
⇒ $ 322.32 × 1.21
⇒ $ 390.01
At the end of the season, any leftover snowboards are marked down by 10%, then we have
⇒ $ 390.01 × 0.90
⇒ $ 351.01
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Multiple Choice
Find the area of the trapezoid,
14 mm
15 mm
36 mm
O A. 270 mm?
<
OB. 375 mm
O C. 750 mm
O D. 3780 mm?
PLEASE HELP
Answer:
The answer is B
Step-by-step explanation:
The formal is A = a+b/2 time h
You just substitute the variables and get the answer
help me pls thank you
Answer:
discrete
Step-by-step explanation:
This graph is discrete. A discrete graph has separate values, which are represented by multiple unconnected points. In continuous graphs, the values are all connected to each other. If this graph was continuous, then we would see a line rather than separate dots. The graph can also not be neither continuous nor discreet because it passes the vertical line test, meaning that it is a function.
Hope this helps :)
Expressed in simplest a + bi form, (7-3i) + (x - 2i)² - (4i + 2x²) is
Therefore, the expression (7-3i) + (x - 2i)² - (4i + 2x²) in the simplest a + bi form is: -2x² - 1 - (4x + 7i)
What are the different forms of linear equation?Linear Equation General Form Example
Slope intercept form y = mx + b y + 2x = 3
Point–slope form y – y1 = m(x – x1 ) y – 3 = 6(x – 2)
General Form Ax + By + C = 0 2x + 3y – 6 = 0
Intercept form x/a + y/b = 1 x/2 + y/3 = 1
As a Function f(x) instead of y f(x) = x + C f(x) = x + 3
The Identity Function f(x) = x f(x) = 3x
Constant Functions f(x) = C f(x) = 6
Let's start by expanding the square term (x - 2i)² using the formula for (a + b)²:
(x - 2i)² = x² - 4xi + 4i²
Note that i² = -1, so we can simplify this expression to:
(x - 2i)² = x² - 4xi - 4
Substituting this expression and the given values into the original expression, we get:
(7 - 3i) + (x² - 4xi - 4) - (4i + 2x²)
Grouping the real and imaginary terms, we get:
(7 - 4 - 2x²) + (-3i - 4i - 4x) + (x²)
Simplifying the real part, we get:
-2x² - 1
Simplifying the imaginary part, we get:
-7i - 4x
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determine the maximum and minimum values of the function, at what values of x are they achieved? (without using a derivative)
\(y=\sin^3x-\sin^6x\)
The maximum and minimum values of the function is solved
Given data ,
We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.
y = (sin x)³ - (sin x)⁶
y' = 3(sin x)² cos x - 6(sin x)⁵ cos x
Setting y' equal to zero:
0 = 3(sin x)² cos x - 6(sin x)⁵ cos x
0 = 3(sin x)² cos x (1 - 2(sin x)³)
sin x = 0 or (sin x)³ = 1/2
If sin x = 0, then x = kπ for any integer k.
If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.
To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.
y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x
y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)
For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.
For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.
Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3
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Answer:
maximum: 0.25minimum: -2Step-by-step explanation:
You want the maximum and minimum values of the function ...
y = sin³(x) -sin⁶(x)
SolutionWhen we substitute sin³(x) = z, we have the quadratic expression ...
y = z -z² . . . . . a quadratic function
Adding and subtracting 1/4, we can put this in vertex form:
y = -(z -1/2)² +1/4
MaximumThis version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.
The maximum value of y is 1/4.
MinimumThe sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...
y = (-1) -(-1)² = -1 -1 = -2
The minimum value of y is -2.
__
Additional comment
The range of y is confirmed by a graphing calculator.
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PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
By creating some crops that resist certain insects
Step-by-step explanation:
Answer:
Aww man i wasn't the earliest
Step-by-step explanation:
By creating some crops that resist certain insects
Hi, can you help to solve the exercise #13 please!!
Answer:
\(x=39\text{ degrees}\)Step-by-step explanation:
This problem can be approached using trigonometric ratios, which are represented by:
Therefore, for an opposite side equals to 4 and adjacent equal to 5:
\(\begin{gathered} \tan (x)=\frac{4}{5}_{} \\ x=\tan ^{-1}(\frac{4}{5}) \\ x=38.6\text{ } \\ \text{Rounding:} \\ x=39\text{ degrees} \end{gathered}\)F-Distribution:The F-test statistic is used to test the difference between the two populations' variances on the basis of the sample's standard deviations.
The F-test statistic is used to determine whether there is a variance difference between the two populations based on the standard deviations of the sample.
Any statistical test with an F-distribution for both the test statistic and the null hypothesis is known as an F-test. It is most frequently applied when contrasting statistical models that have been fitted to data sets to determine which one more accurately depicts the population from which the data were derived.
the hypothesis that the means of a set of normally distributed populations with a common standard deviation are the same. The variance assessment relies heavily on this F-test, which is possibly the most well-known (ANOVA).
the assertion that the data are correctly predicted by a given regression model. The hypothesis that a set of data will follow the simpler of two proposed linear models that are placed inside of each other in a regression study.
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