Answer:
Step-by-step explanation:
x^2
--------------------------------------------------
2x + 1 / 2x^3 - x^2 + x + 1
2x^3 + x^2
-----------------------
0 + x + 1
x + 1
The quotient is x^2 + ------------
2x + 1
which of the following statements are true for sin (-430°)
i. the basic angle, a lies in the second quadrant
Ii. sin (-430°) = +sin (430°)
III. sin (-430°) = sin (70°)
iv. a = 30°
Answer:
Step-by-step explanation:
sin(-430)=-sin(430)=-sin(360+70)=-sin 70
On a shelf at a gaming store, there are five Sony Playstations and three Nintendo Wii consoles left. If one gaming system is selected at random, find the probability that the system is a Wii console.
Step-by-step explanation:
a probability is always desired cases over total possible cases.
so, we have actually 8 systems (5 + 3) we can pick from.
therefore, the total possible cases are 8.
the desired case is in this question to pick one of the 3 Wii consoles.
the probability to pick a Wii is therefore
3/8 = 0.375
Answer:
3/8, or 37.5%
Step-by-step explanation:
There are 8 different playing devices there.
There are only 3 Nintendo Wii consoles.
So, the probability is 3/8
-2/5+4/5 drop the corrects sum on the number line
Answer:
- 2/5 + 4/5 would give you 2/5
Step-by-step explanation:
think of it as (positive) + 4/5 (subtracted by) - 2/5 then you get 2/5!
help me please im stuck
Answer:
\(x+5\) hours
Step-by-step explanation:
Erica always tutors 5 hours a week. She babysits for x hours a week. To find the total number of hours she works a week, we must add these two values together: \(x+5\).
Thus, the answer is \(x+5\) hours.
$11,335
is invested, part at 9%
and the rest at 6%
. If the interest earned from the amount invested at 9%
exceeds the interest earned from the amount invested at 6%
by $865.35
, how much is invested at each rate? (Round to two decimal places if necessary.)
Answer:
Let x be the amount invested at 9% and y be the amount invested at 6%
.According to the problem:
x + y = 11,335 ----(1) (the total amount invested is $11,335)0.09x - 0.06y = 865.35 ----(2) (the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 6% by $865.35)
We can use these two equations to solve for x and y.
Multiplying equation (1) by 0.06, we get
:0.06x + 0.06y = 680.10 ----(3)
Subtracting equation (3) from equation (2), we get:
0.03x = 185.25
x = 6,175
Substituting x = 6,175 into equation (1), we get:
y = 5,160
Therefore, $6,175 is invested at 9% and $5,160 is invested at 6%.
Step-by-step explanation:
HELP (THE OPTIONS FOR CHOOSE IS yes no yes no yes no yes no) AND NO PUTTING FAKE ANSWERS OR PUTTING NOT CORRECT ANSWERS LIKE answer:e step by step explanation:e PLEASE NONE OF THAT
Yes, she did buy additional carrot seed. No, the total number of seeds was 1120. No, the total price is $171. She did buy more maize and beans than carrots.
What is multiplication?Multiplication is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and division. A product is the outcome of a multiplication operation. Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilize every day. When we multiply two numbers, the result is known as the product. The multiplicand is the number of items in each group, and the multiplier is the number of such equal groupings. In our situation, the multiplicand is, the multiplier is, and the product is 6.
Here,
Beans=12*40
=480
cost of beans=12*5
=$60
Carrot=15*36
=540
cost of carrot=15*7
=$105
Corn=2*50
=100
cost of corn=2*3
=$6
Total seeds=1120
Total cost=$171
Yes she bought more of carrot seed. No the total seeds was 1120. No the total cost is $171. Yes she bought more corn and beans than carrot.
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in any given month there are at least 20 workdays each week, then how many workdays would roger have in the month if the month starts on a monday ? (hint: Draw a calendar to show how you arrive at your answer)
Roger would have 20 workdays in the month if it starts on a Monday and there are at least 20 workdays each week.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Assuming a month has four weeks, each with at least 20 workdays, we can calculate the total number of workdays in the month starting on a Monday as follows:
Week 1: Monday to Friday = 5 workdays
Week 2: Monday to Friday = 5 workdays
Week 3: Monday to Friday = 5 workdays
Week 4: Monday to Friday = 5 workdays
So the total number of workdays in the month is:
5 + 5 + 5 + 5 = 20
Therefore, Roger would have 20 workdays in the month if it starts on a Monday and there are at least 20 workdays each week.
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Choose the function whose graph is given by:O A. y=-cos - 3O B. y = -sin x-3O C. y = cos x+3O D. y = sin x-3
The graph of the function is:
\(y=\sin x-3\)and therefore, the answer is D.
This comes from the fact that the midpoint of the function is on the y-axis and the first maximum happens when the x values is positive and then this is a sine function; once we know this we just need to translate the function three units down and then we get function D.
A cubic root function has a domain of x≥−3 and a range of y≥−1. What is the range of its inverse?
In general, if the range of a function is y≥−1, its inverse has a domain of y≥−1. So, the range of the inverse of the cubic root function is y≥−1.
How do we know this?The range of a cubic root function becomes the domain of a cube function and vice versa since a cubic root function is an inverse function of a cube function. Therefore, the cube function's range is x3 if the cubic root function's domain is x3.
A function's inverse typically has a domain of y1 if its range is y1. Therefore, y1 is the domain of the inverse of the cubic root function.
Describe a function.
A function is a mathematical relationship between a domain—a set of inputs—and a range—a set of outputs. Each input in the domain is given a distinct output, known as the function value, by a function. An equation or graph can be used to depict the function value.
A function is typically represented symbolically by an equation that describes the relationship between the inputs and outputs and a letter, like f or g, as well as the letter. For instance, the equation of a function that accepts a value of x as input and produces its square is f(x) = x2.
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cho hàm số f(x) liên tục trên đoạn [a;b] và có nguyên hàm F(x) thỏa F(a)=10;F(b)=2022 Khi đó \int _a^b\: f(x) dx bằng
The result follows from the fundamental theorem of calculus.
\(\displaystyle \int_a^b f(x) \, dx = F(b) - F(a) = 2022 - 10 = \boxed{2012}\)
There are 7 teachers going to the museum. There are 8 times as many students going as teachers. They will need 1 van for every 6 people.
The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.
The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.
Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.
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The sum of two numbers is 21. The second number is six times the first number. Work out the two numbers. Write your answer on one line
Answer:
Step-by-step explanation:
a +B=21 B=6a a+6a=21 7a=21 a=21:7 a=3 b=6x3 b=18
please help as soon as possible:)
Answer:
First table (far left)
Step-by-step explanation:
The far-left table is the only function with a constant rate. All other tables do not contain this.
A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*
Step-by-step explanation:
a = 12√3
b = 24
hope this helps
Two numbers are in the ratio 9:2. If the
smaller number is 320, find the larger number
pls ans fast
Answer:
Large number from two numbers = 1,440
Step-by-step explanation:
Given:
Ratio of two numbers = 9 : 2
Smaller number from two numbers = 320
Find:
Large number from two numbers
Computation:
Large number from two numbers / Smaller number from two numbers = Ratio of two numbers
Large number from two numbers / 320 = 9 / 2
Large number from two numbers = 2,880 / 2
Large number from two numbers = 1,440
Help pls
Stuck on this question
Answer:
x = 35
Step-by-step explanation:
since the figures are similar then the ratios of corresponding parts are in proportion, that is
\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )
2x = 7 × 10 = 70 ( divide both sides by 2 )
x = 35
Find the measure of COA. Then, classify the angle.
Answer:
The Angle COA=110°
An Obtuse Angle
help pls i jusiot jiojfgnio43nfginfmowenfviowngognior3
Answer:
i dont know
Step-by-step explanation:
sorry please be a bit more clear on what help you would like
Mrs. Carroll purchases new materials for her math classroom. New workbooks cost $7.00 each, and new dry erase boards cost $5.00 each. She had a budget of $50.00. Write an inequality to represent the situation. Let w represent the number of workbooks and let d represent the number of dry erase boards.
Answer:
\(7w+5d\leq 50\)
Step-by-step explanation
Let w represent the number of workbooks
Let d represent the number of dry erase boards
Then , we can create the inequality for this situation
\(7w+5d\leq 50\)
How many calories in the candy bars
Answer:
A = 267 calories; B = 257 calories
Step-by-step explanation:
We can set up a system of equations to find how many calories each candy bar provides.
The information gives us:
A + 2B = 781 and 2A + B = 791.
Substitution will be easier, and we can isolate A from the first equation and then plug it in for A in the second equation:
\(A+2B=781\\2A+B=791\\\\A=781-2B\\\\2(781-2B)+B=791\\1562-4B+B=791\\1562-3B=791\\-3B=-771\\B=257\)
Now we can plug in B into the first equation to find A:
\(A+2(257)=781\\A+514=781\\A=267\)
Find a cubic polynomial that goes through points (4, – 22) and (3, - 26) and has tangents with slopes
respectively 11 and — 2 there. Check your work with a graphing utility.
f() =
Let f(x) = ax ³ + bx ² + cx + d.
The graph of f(x) passes through (4, -22) and (3, -26), which means f (4) = -22 and f (3) = -26, so that
64a + 16b + 4c + d = -22
27a + 9b + 3c + d = -26
When the question says it has tangents at some point, I take that to mean the slope of the tangent line at that point is the given number. So f ' (4) = 11 and f ' (3) = -2. We have
f '(x) = 3ax ²+ 2bx + c
so that
48a + 8b + c = 11
27a + 6b + c = -2
Solve the system:
• Eliminate d :
(64a + 16b + 4c + d) - (27a + 9b + 3c + d) = -22 - (-26)
→ 37a + 7b + c = 4
• Eliminate c :
(48a + 8b + c) - (27a + 6b + c) = 11 - (-2)
→ 21a + 2b = 13
(48a + 8b + c) - (37a + 7b + c) = 11 - 4
→ 11a + b = 7
• Eliminate b, then solve for a and the other variables:
(21a + 2b) - 2 (11a + b) = 13 - 2 (7)
-a = -1
a = 1 → b = -4 → c = -5 → d = -2
Then
f(x) = x ³ - 4x ² - 5x - 2
Help would be appreciated
18 Select the correct answer. This graph represents a quadratic function. An upward parabola on a coordinate plane vertex at (minus 2, 2) and passes through (minus 3, 5) and (minus 1, 5). What is the value of a in the function’s equation? A. 3 B. -2 C. -3 D. 2 Reset Next
Option A is correct. The equation of a parabola with vertex at (-2, 2) and passes through (-3, 5) and (-1, 5) is y = 3x² + 12x + 14. The value of a in the equation is 3.
An expression that depicts the relationship between two or more variables and numbers is called an equation. A parabola is the curve of the graph of a quadratic equation. The standard quadratic equation has the form:
y = ax² + bx + c
The equation of a parabola with vertex at (-2, 2) and passes through (-3, 5) and (-1, 5) is y = 3x² + 12x + 14. The value of a in the equation is 3.
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What is the value of the expression 1/2x2/5 ÷2/6
Answer: 3/5 (0.6 decimal form)
Step-by-step explanation:
Which of the following shows a correct way of simplifying 6+(3-5x)
Answer: 9 - 5x
Step-by-step explanation:
6 + (3 - 5x) = 6 + 3 - 5x = 9 - 5x
Anyone know the answer or the process?
Answer:
Letter B , Surveying every 2500th number
On a coordinate plane, point B is at (negative 5, 2). B is located at (−5, 2). If B is reflected across the y-axis, the coordinates will be . If B is reflected across the x-axis, the coordinates will be .
Answer:
the anwser is (5,2) and (-5,-2)
Step-by-step explanation:
What’s 112/250 simplified
Answer:
\(\frac{56}{125}\)
Step-by-step explanation:
112/250
Reduce the fraction \(\frac{112}{250}\) to the lowest terms by extracting and canceling out 2.
\(\frac{56}{125}\)
Hope it helps and have a great day! =D
~sunshine~
Answer:
The simplest form of 112/250 is 56/125. Steps to simplifying fractions. Find the GCD (or HCF) of numerator and denominator. GCD of 112 and 250 is 2
Find the coefficient of determination, given that the value of the linear correlation coefficient, r, is –0.721.
The coefficient of determination is calculated as: 0.520.
How to Find the Coefficient of Determination?The coefficient of determination = the square of the correlation coefficient.
Given the following:
Value of the linear correlation coefficient (r) = -0.721
Therefore, we would have:
The coefficient of determination = (-0.721)²
The coefficient of determination = 0.520
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Which statement is true about the points shown below? The distance between them is zero because they have the same y-coordinate. The distance between them can be found by counting from -3 to 7. The distance between them cannot be calculated because the points do not have the same x-coordinate. The distance between them can be found by doubling the distance of either point from the y-axis.
The statement that is true about the points shown below is: "The distance between them is zero because they have the same y-coordinate."
The distance between two points is typically calculated using the distance formula, which involves the difference between their x-coordinates and y-coordinates. However, in this case, the statement specifies that the points have the same y-coordinate.
The y-coordinate represents the vertical position on a graph, while the x-coordinate represents the horizontal position. When two points have the same y-coordinate, it means they lie on the same horizontal line.
Since distance is measured in a straight line, and these points are already on the same horizontal line, their distance from each other is zero. This is because they are effectively occupying the same position along the horizontal axis.
In summary, when two points have the same y-coordinate, their distance from each other is zero. This is because they lie on the same horizontal line and are already as close to each other as possible in the horizontal direction.
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