Step-by-step explanation:
The answer will be zero
here are the steps:
cos(90-10)xcos(90-80)-sin(90-10)xsin(90-10)=
(cos10xcos10)-(sin80xsin80)=
0.965111-0.965111=0
have a good day :)
I hope it will benefit you.
3u = 72 simplified math problem
Answer:
Simplifying
3u = 72
Solving
3u = 72
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Divide each side by '3'.
u = 24
Simplifying
u = 24
3u= 72
three will go to the other side so it will divide
and it well be
u= 24
What are the solutions to the quadratic equation 4(x + + 2)2 = 36
O x= -11 and x = 7
Ox= -7 and x = 11
O x= -5 and x = 1
Ox= -1 and x = 5
Answer:
x= -1 and 5
hope that helps
The solutions to the quadratic equation [tex]4(x+2)^2=36[/tex] are x = -5 and x = 1.
Given the following data:
[tex]4(x+2)^2=36[/tex]How to solve a quadratic equation.In this exercise, you're required to determine the value of x by solving for the factors (roots) of the given quadratic equation.
In Mathematics, the standard form of a quadratic equation is given by;
[tex]ax^2 + bx + c =0[/tex]
Where:
a = 4.b = 16.c = -20.Dividing both sides by 4, we have:
[tex]4(x+2)^2=36\\\\(x+2)^2=9[/tex]
Taking the square root of both sides, we have:
[tex]x+2=\pm3\\\\x=\pm 3-2[/tex]
x = -5 or 1.
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if an equation indicates addition in its presentation, in order to solve for the unknown you must: a. add b. subtract c. multiply d. divide
If an equation indicates addition in its presentation, in order to solve for the unknown, you must perform the inverse operation, which is subtraction.
Equations typically involve an equality between two expressions, with one or more unknown variables.
To isolate the unknown variable and determine its value, you need to perform operations on both sides of the equation to simplify and solve for the variable.
When an equation shows addition, you can undo that operation by subtracting the same value from both sides of the equation. This ensures that the equation remains balanced and maintains equality.
For example, consider the equation:
x + 5 = 10
To solve for x, you need to eliminate the 5 added to x. To do so, you subtract 5 from both sides of the equation:
x + 5 - 5 = 10 - 5
x = 5
By subtracting 5 from both sides, you isolate the variable x and find that its value is 5.
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A tree casts a shadow that is 231 cm long. Janet is 170 cm tall and she casts a shadow that is 102 cm long. How tall is the tree?
Answer:
139 cm
Step-by-step explanation:
If the length of a rectangle is 10 feet and the width is 3 inches, what is the area of the rectangle in units of
square feet?
Answer:
30 ft
Step-by-step explanation:
10 feet = 120 inches
120 in x 3 in = 360 in
360 in ÷ 12 in = 30 ft
solve the equation, then check s + 10.5 = 17.
Answer:
s=6.5
Step-by-step explanation:
to check, just substitute s for its value
6.5+10.5+17
so the correct answer is, s=6.5
Calculate the volume of a cube with side lengths of 2.8 yards.
Answer:
21.952 [tex]yards^{3}[/tex]
Step-by-step explanation:
The volume of a cube is side length cubed.
So [tex]2.8^{3}[/tex] = 21.952
f
) Solve by Gaussian-Jordan algorithm (reducing to rref). Show all the row operations you applied! -2x + 3y + z -3x + y + 3z = -2 = -4 2y - z = = 0
By applying the Gaussian-Jordan algorithm to the given system of equations, we can find the reduced row-echelon form (rref) of the system. The resulting rref shows that the system is consistent, and the solution is x = 1, y = -28/17, and z = -28/17.
We start by writing the augmented matrix of the system:
[ -2 3 1 -2 ]
[ -3 1 3 -4 ]
[ 0 2 -1 0 ]
To obtain the rref, we perform row operations to eliminate the coefficients below and above the pivots. Our goal is to transform the matrix into the following form:
[ 1 0 0 a ]
[ 0 1 0 b ]
[ 0 0 1 c ]
First, we divide the first row by -2 to make the pivot in the first column 1:
[ 1 -3/2 -1/2 1 ]
[ -3 1 3 -4 ]
[ 0 2 -1 0 ]
Next, we perform row operations to eliminate the coefficient -3 in the second row:
[ 1 -3/2 -1/2 1 ]
[ 0 2/2 9/2 -7 ]
[ 0 2 -1 0 ]
Then, we divide the second row by 2 to make the pivot in the second column 1:
[ 1 -3/2 -1/2 1 ]
[ 0 1 9/4 -7/2 ]
[ 0 2 -1 0 ]
Now, we perform row operations to eliminate the coefficient 2 in the third row:
[ 1 -3/2 -1/2 1 ]
[ 0 1 9/4 -7/2 ]
[ 0 0 -17/4 7 ]
Finally, we divide the third row by -17/4 to make the pivot in the third column 1:
[ 1 -3/2 -1/2 1 ]
[ 0 1 9/4 -7/2 ]
[ 0 0 1 -28/17 ]
The resulting rref shows that the system is consistent, and the solution is x = 1, y = -28/17, and z = -28/17.
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A local fast food chain had revenue represented by the polynomial 6x ^ 2 + 5x - 8 for one fiscal year and expenses for that same fiscal year represented by the polynomial 4x ^ 2 - 3x + 7 7. What was the company's profit for the fiscal year?
Answer:
2x^2+8x - 16
Step-by-step explanation:
Profit = Revenue - Cost
P(x) = R(x) - C(x)
Given
R(x) = 6x ^ 2 + 5x - 8
C(x) = 4x ^ 2 - 3x + 7
P(x) = 6x ^ 2 + 5x - 8-(4x ^ 2 - 3x + 7)
P(x) = 6x ^ 2 + 5x - 8 - 4x ^ 2 + 3x - 8
Collect the like terms;
P(x) = 6x^2-4x^2+5x+3x-8-8
P(x) = 2x^2+8x - 16
Hence the company's profit for the fiscal year is 2x^2+8x - 16
The price p (in dollars) and the demand x for a particular clock radio are related by the equation x=4000-40p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 2700 clock radios. (D) Interpret R'(3200) = -60.00.
A) The price-demand relationship for a clock radio is given by x=4000-40p. B) The revenue function R(x) is found to be R(x) = x * [(4000 - x) / 40]. C) The marginal revenue at a production level of 2700 clock radios is calculated using the derivative R'(x) = (4000 - 3x) / 40, and D) R'(3200) = -60.00 indicates a decrease in revenue of $60.00 per unit at a production level of 3200 clock radios.
(A) To express the price p in terms of the demand x, we can rearrange the equation x=4000-40p to solve for p. Subtracting x from both sides and dividing by -40, we get p = (4000 - x) / 40. The domain of this function represents the possible values for x, which should be non-negative since it doesn't make sense to have negative demand. Therefore, the domain is x ≥ 0.
(B) The revenue R(x) from selling x clock radios can be calculated by multiplying the price p by the quantity x. Since p = (4000 - x) / 40, we have R(x) = x * p = x * [(4000 - x) / 40]. The domain of the revenue function depends on the domain of x, which we determined in part (A) as x ≥ 0.
(C) The marginal revenue represents the change in revenue resulting from producing one additional unit. To find the marginal revenue at a production level of 2700 clock radios, we need to find R'(x) (the derivative of the revenue function) and evaluate it at x = 2700. Differentiating R(x) = x * [(4000 - x) / 40] with respect to x, we find R'(x) = (4000 - 3x) / 40. Substituting x = 2700 into the derivative, we get R'(2700) = (4000 - 3 * 2700) / 40.
(D) The interpretation of R'(3200) = -60.00 is that the marginal revenue at a production level of 3200 clock radios is -60.00 dollars per unit. This means that producing an additional unit at this level would result in a decrease in revenue by $60.00. The negative value indicates a diminishing marginal revenue, which suggests that the market might be becoming saturated or that there are competitive factors affecting the demand for the clock radios.
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math help please now
Answer:
1. Yes
2. Yes
3. No
4. Yes
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees.
For 1, 76+14 = 90.
Etc., you can do the math, I believe you are smarter than addition.
You earn $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for $15 per hour. You need to earn at least $120 per week, but you do not want to work more than 20 hours per week. a. Write a system of linear inequalities that represents the situation. Use x for hours worked at the grocery store and y for hours teaching music lessons. i need the inequility for total work. please fast
Answer:
without numbers= 10x + 15y = 120
Step-by-step explanation:
grocery store= 10x (x=8 in this case)
music lessons= 15y
There were two times as many pepperoni pizzas as cheese pizzas, plus one pizza they ordered 13 pizzas altogether how many pepperoni pizzas were there? How many cheese pizzas were there
Answer:
pepperoni pizzas = 8
cheese pizzas = 4
Step-by-step explanation:
let x = cheese pizza
2x + x + 1 = 13
3x = 13 -1
3x = 12
x = 4
pepperoni = 2x4 = 8
Answer fast plsssssss
Answer:
i cat see it
Step-by-step explanation:
If n e z, use modulo to show that -13n2 +5n+23 is odd.
The given expression -13n^{2}+5n+23[/tex] is odd using modulo.
We are given to show that -13n2 + 5n + 23 is odd by using modulo.
Let's try to understand what modulo means:Modulo is a mathematical operation that finds the remainder when one number is divided by another. It is represented by the percentage symbol (%).
Now we can use the concept of modulo to show that -13n2 + 5n + 23 is odd.Note:An integer is odd if it is not even. In other words, odd numbers can't be divided evenly by 2. They leave a remainder of 1 when divided by 2.To show that -13n2 + 5n + 23 is odd, we need to take the given expression modulo 2.$$-13n^2 + 5n + 23 \; \mathrm{mod} \; 2$$We know that every odd integer can be written in the form of 2n + 1 where n is an integer. Now we just have to show that the expression -13n2 + 5n + 23 can be written in the form 2n + 1.$$-13n^2 + 5n + 23 \equiv 1 \; \mathrm{mod} \; 2$$Let's assume k is an integer such that $$-13n^2 + 5n + 23 = 2k + 1$$Rearranging the above expression, we get$$-13n^2 + 5n + 22 = 2k$$Now, we can use the concept of odd and even numbers. We know that an even number can be represented in the form 2n, where n is an integer. Now we just have to show that the expression -13n2 + 5n + 22 can be represented in the form 2n.$$-13n^2 + 5n + 22 = -13n^2 + 13n - 8n + 22$$$$= 13(n-1)(n-2) - 8$$We know that the product of two odd numbers is odd, and the subtraction of an even number from an odd number is odd. Here, (n-1) and (n-2) are consecutive integers, which means one of them is even and the other is odd. Therefore, the product (n-1)(n-2) is even. Hence, the above expression is odd.Since -13n2 + 5n + 23 is equivalent to 1 modulo 2, which means it can be represented in the form of 2n+1. Therefore, -13n2 + 5n + 23 is odd.
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Write an equation for two angles A and B that are supplementary.
A. a + b = 180
B. a + b = 100
C. 2ab = 180
D. a + b = 90
Answer:
A. a + b = 180 is the correct option.
The product of 3x^3-5x² + 3 and 2x² + 5x – 4 in Z7[x] / < x² +1 > is_________a. 2x + 3 b.2x+2 c. 2x d. 2x + 1
The product of 3x³-5x² + 3 and 2x² + 5x – 4 in Z7[x] / < x² +1 > is 2x + 1.
The product of the polynomials 3x³-5x² + 3 and 2x² + 5x – 4 in Z7[x] / < x² +1 > can be determined using polynomial long division.
To perform the division, we divide 3x³-5x² + 3 by x² + 1. The result of this division gives us the quotient and the remainder. In this case, the quotient is 2x and the remainder is 2x + 1.
The quotient represents the coefficient of x in the resulting product, while the remainder represents the constant term. Therefore, the resulting product is d. 2x + 1.
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Beth filled 48 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did Beth use?
The gallons of paint that Beth used is 6 gallons.
How many gallons did Beth use?The first step is to convert pint to gallon:
1 pint = 0.125 gallon
The second step is to multiply 0.125 by 48 : 0.125 x 48 = 6 gallons
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3. A piece of wire 16 feet long is strung from
the top of the side of a house to the
ground. The distance from the base of the
house to where the wire meets the ground
is 9 feet, as shown in the picturt.
st
19 lei
(The figure is not drawn to scale.)
How tall, in feet, is the house?
B. 20
C. 175
D. 337
Answer:
its c because its not a b or d and its alround 13 feet
Step-by-step explanation:
or each of the following functions, find the constant c such that f(x)is a pdf; find the cdf, f(x)= p(x ≤ x); graph the pdf and cdf; and find μ and σ2: (a) f(x)= 4xc for 0 ≤ x ≤ 1
c = 1/2 ,the mean is μ = 1/2, the CDF of f(x) is 2x^2 and the variance is σ² = 1/6.
The given pdf is f(x) = 4xc for 0 ≤ x ≤ 1.
To find the constant c such that f(x) is a pdf: We know that, For f(x) to be a pdf, it must satisfy the following two conditions:
The integral of f(x) over its support should be equal to 1. f(x) must be greater than or equal to 0 for all values of x. So,
Let us find the value of c first integral of f(x) from 0 to 1 should be equal to 1, therefore∫f(x)dx = ∫(4xc)dx for 0 ≤ x ≤ 1∫f(x)dx = 4∫xc dx for 0 ≤ x ≤ 1∫f(x)dx = 4[c(x^2/2)]_0^1∫f(x)dx = 2c
Therefore,∫f(x)dx = 1 implies 2c = 1 or c = 1/2.
Now we know the value of c. Let us find the CDF of f(x): CDF of f(x) = P(x ≤ X) = ∫f(t)dt from -∞ to x= ∫f(t)dt from 0 to x= ∫(4xt)dt from 0 to x= 2x^2 from 0 to x= 2x^2Therefore, the CDF of f(x) is 2x^2.
Graph of the PDF of f(x)For graphing the PDF of f(x), we need to know the values of x for which f(x) is defined as well as its shape and maximum value.f(x) = 4xc for 0 ≤ x ≤ 1The given function is a straight line with a slope of 4c and intersects the x-axis at 0 and the y-axis at 0.
We know that c = 1/2, thus (x) = 2x for 0 ≤ x ≤ 1The graph of f(x) will look as follows: Graph of the CDF of f(x)The graph of the CDF of f(x) will look as follows:
We can find the mean and variance of the PDF of f(x) using the following formulae: Mean, μ = ∫xf(x)dx from -∞ to ∞.Variance, σ² = ∫(x - μ)²f(x)dx from -∞ to ∞.
Substituting f(x) and its limits in the above formulae, we get: Mean, μ = ∫xf(x)dx from 0 to 1= ∫(2x^2)x dx from 0 to 12(1^4 - 0^4)/4= 1/2.
Variance, σ² = ∫(x - μ)²f(x)dx from 0 to 1= ∫(x - 1/2)²(2x)dx from 0 to 1= 1/6.
Therefore, the mean is μ = 1/2, and the variance is σ² = 1/6.
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on a certain hot summer day 688 people used the public swimming pool. the daily prices are 1.75 for children and 2.00 for sdults the receipt for admission totaled 1293.50. how many children and how many adults swam at the public pool that day
Answer:
Number of children = x = 330
Number of adults = y = 358
Step-by-step explanation:
Let
Number of children = x
Number of adults = y
x + y = 688 (1)
1.75x + 2.00y = 1293.50 (2)
From (1)
x = 688 - y
Substitute x = 688 - y into (2)
1.75x + 2.00y = 1293.50
1.75(688 - y) + 2.00y = 1293.50
1,204 - 1.75y + 2.00y = 1293.50
- 1.75y + 2.00y = 1293.50 - 1,204
0.25y = 89.50
y = 358
Substitute y = 358 into (1)
x + y = 688
x + 358 = 688
x = 688 - 358
x = 330
Number of children = x = 330
Number of adults = y = 358
Help pleaseeeeeeeeeee
Answer:
5 is c 6 is b
Step-by-step explanation:
Answer:
5) C 6) B
Step-by-step explanation:
Yw
ect
Use the number line interactive to evaluate the
following expressions.
8 + 3 =
+
16
(-8) + (-5) =
<
(-8) + 2 =
Answer:
1. 11
2. -13
3. -6
Step-by-step explanation:
Hope this helps. Have a great day! (I got this correct on edge :})
A researcher was interested in how students' college major affected their opinions on environmental safety. To investigate this a researcher gave a environmental safety questionnaire to 20 random business majors and 20 random neuroscience majors. Their responses to the questionnaire were not normally distributed. What is the most appropriate statistical test for these data from the list below? Wilcoxon Signed Rank test Student's t-test O Wilcoxon Ranked Sum test Paired t-test
The most appropriate statistical test for these data from the list below would be: the Wilcoxon Ranked Sum test.
Why is the Wilcoxon Ranked Sum test best?The Wilcoxon Ranked Sum test is the best for the analysis because it does not assume a normal distribution. The Wilcoxon ranked sum test compares two independent populations to determine if there is a statistical significance between them.
In the example given there is no normal distribution, so the Wilcoxon Ranked Sum test will analyze the responses differently to confirm if there is a relationship.
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Find the missing side length and round it to the nearest tenth please :)
Answer:
171
Step-by-step explanation:
This is a Right triangle,
So this means that all the sides should add up to 180,
So far we have 9
So we will have to Subtract 9 from 180 which leaves us with 171,
I hope this is correct!!
i dont have a question for this. look at the photo
Answer:
first is no second is yes third is no fourth is yes
Step-by-step explanation:
I'm not sure btw
A circle with a shaded sector has a circumference of 12 pi millimeters. What is the area of the shaded sector? Express the answer in terms of Pi.
Answer:
The answer is C. 8 mm
Step-by-step explanation:
For me, i was able to divide the 80 by 12 and get 6.667 thus i was able to round up and conclude the answer in the answer choices
Answer:
c
Step-by-step explanation:
Question is in picture
pls help how do i solve log(5x+2)=1
like what rule do I use and how do I do it step by step
Answer:
x = -0.2
Step-by-step explanation:
(5x + 2) = 1
- 2 -2
--------------------
5x = -1
Divide each side by 5
-1/5
= -0.2
Check:
(5x + 2) = 1
replace x with -0.2
(-1 + 2) = 1
1 = 1
The equation is true.
Hope this helped :)
Round to the nearest tenth
8.94427191
Answer:
8.9
Step-by-step explanation:
8.94427191
Answer:
8.9
Step-by-step explanation:
8.94427191 the number 1 spot to the right of the decimal point is tenths. the number is 9 the number to the right of that is 4. unless that number 2 digits to the right of the decimal point is 5 or over the 9 stays the same