[PLS HELP WILL GIVE BRAINLIEST!!]
Determine the value of x.
Answer:
The value of x is 8.1
Step-by-step explanation:
We can use SOH CAH TOA to find our answer.
In this acronym, O is the opposite side, A is the adjacent side, and H is the hypotenuse. S is for the SIN function. C is for the COS function. T is for the TAN function.
We can calculate the length of the string by using the COS function.
So we can say the tangent of angle \(\beta\) is the opposite side divided by the adjacent side.
\(tan( \beta)=\frac{O}{A}\)
We are given the angle and the opposite side. We are looking for the adjacent side.
Lets solve for \(A\).
Take the reciprocal of both sides.
\(\frac{1}{tan(\beta)} =\frac{A}{O}\)
Multiply both sides by \(O\).
\(\frac{1}{tan(\beta)} *O=A\)
We are given
\(\beta=56\textdegree \\O=12\)
\(\frac{1}{tan(56)} *12=A\)
\(A=8.0941022\)
Find the area of the irregular shape !!!
Step-by-step explanation:
Area of triangle = base × height ×½
triangle = 9×8×½=36cm²
rectangle = length×width
rectangle = 15×26=390cm²
area of irregular fig= 390+36 =426cm²
What is the difference between continuous function and discontinuous function?
A continuous function is a function that is defined for all values of the independent variable, and its graph has no breaks or jumps. A discontinuous function is a function that is not continuous, meaning there are values of the independent variable at which the function is undefined or has a break or jump in its graph.
A continuous function is a function that can be graphed without any breaks or jumps. This means that the graph of a continuous function is a single, unbroken curve that passes through all its points. Furthermore, a continuous function is defined for all values of the independent variable. This means that the function is defined for all points in its domain. On the other hand, a discontinuous function is a function that is not continuous, meaning there are values of the independent variable at which the function is undefined or has a break or jump in its graph. This means that the graph of a discontinuous function will have jumps or breaks. Furthermore, a discontinuous function is not defined for all values of the independent variable, meaning that there are certain points in the domain for which it is not defined. In conclusion, the main difference between continuous and discontinuous functions is that a continuous function is defined for all values of the independent variable and has no jumps or breaks in its graph, whereas a discontinuous function is not defined for all values of the independent variable and has jumps or breaks in its graph.
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Consider the data set:
11, 3, 8, 2, 9, 1, 4
Jennifer said the median of the set is 2, because it is the middle value in the data set. Explain why you do or do not agree with her.
Sample Response:
Jennifer is wrong. The list of data points must be in order before determining the median. If you put the set in order from least to greatest, the median is 4.
Edg Hope this helps
Answer:Jennifer is wrong. The list of data points must be in order before determining the median. If you put the set in order from least to greatest, the median is 4.
Step-by-step explanation: its the Sample Response
19. Sketch the graph of x² + y² + 4x - 2y - 31 = 0.
Write the center and radius under the graph. (show all work)
For given equation of circle radius is 6 unit and center is at (-2,1).
What is a circle?
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.
The equation of circle in the plane is given as:
(x-h)^2 + (y-k)^2 = r^2
where (x, y) are the coordinate points
(h, k) is the coordinate of the center of a circle
and r is the radius of a circle.
Now,
As shown in graph the graph by taking two points on graph
(-2,7) and (-2,-5)
Center will be at (-2-2)/2, (7-5)/2
i.e. (-2,1)
And for radius take magnitude of points from y-coordinate
(7+5)/2=6 unit
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95 times 10 to the 4 power
There's a lack of info regarding the question, however if you are looking for the answer in scientific notation and expanded form, here you go.
Scientific Notation:
\(95\) × \(10^4\)
Expanded Form:
\(950,000\)
Not what you're looking for? Feel free to comment on the matter and we'll see what else we can do to assist you further.
The system of inequalities in the graph represents the change in an account, y, depending on the days delinquent, x. On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 2) and (0, 0). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 2) and (0, 0). Everything to the left of the line is shaded. Which symbol could be written in both circles in order to represent this system algebraically? y Circle x y Circle –x ≤ ≥
Answer:
C.<
Step-by-step explanation:
got it wrong on the exam review and it told me the right answer after.
Answer:
It is C. <
Step-by-step explanation:
edge 2021
pOiNtS gIvE aWaY i DoNt HaVe MuCh BuT hErE yA gO
Answer:
Gracias generous mane •‿•
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
2x^3y + 18xy - 10x^2y - 90y
Part A: rewrite the expression so that the GCF is factored completely
Part B: rewrite the expression completely factored. Show the steps of your work
___________________________
Part A: the area of a square is (9x^2 + 24x + 16) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
Part B: the area of a rectangle is (16x^2 - 25y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.
___________________________
f(x) = 2x^2 - 5x + 3
Part A: what are the x-intercepts of the graph of f(x)? Show your work
Part B: is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answer and show your work.
Part C: what are the steps you would use to graph f(x)? Justify that you can use the answer in part A and part B to draw the graph.
The solutions are:
1st part:
Part A: Rewriting the expression so that the greatest common factor (GCF) is factored completely is 2y(x³ + 9x - 5x - 45).
Part B: Rewriting the expression completely factored is 2y(x² + 9)(x - 5).
2nd part:
Part A: each side is 3x+4
Part B: one side is (4x-5y), and the other side is (4x+5y)
3rd part:
The vertex of the function is a minimum and the coordinate of the vertex of the function is (0.2, -2.4)
Here, we have,
1st part:
Here,
In order to rewrite the expression so that the greatest common factor (GCF) is factored completely, we would determine the coefficients of the expression as follows:
2x³y + 18xy − 10x²y − 90y
The coefficients include the following:
2, 18, 10, 90
The greatest common factor (GCF) of the above listed coefficients is equal to two (2) while y is the common term for the variables x³y, xy, x²y, and y.
Therefore, the greatest common factor (GCF) of this expression is 2y and it should be factored as follows:
2x³y + 18xy − 10x²y − 90y = 2y(x³ + 9x - 5x - 45)
Part B.
Rewriting expression completely factored, we have:
2x³y + 18xy − 10x²y − 90y = 2xy(x² + 9) - 10y(x² + 9)
2x³y + 18xy − 10x²y − 90y = (x² + 9)(2xy - 10y)
2x³y + 18xy − 10x²y − 90y = (x² + 9)2y(x - 5)
2x³y + 18xy − 10x²y − 90y = 2y(x² + 9)(x - 5)
2nd part:
part A
9x² +24x+16=
(3x)² +24x +4²=
(3x+4)² = (3x+4)(3x+4) so each side is 3x+4
Part B
16x² -25y²= (4x)² -(5y)²= (4x-5y)(4x+5y)
so one side is (4x-5y), and the other side is (4x+5y)
3rd part:
The vertex of the function is a minimum and the coordinate of the vertex of the function is (0.2, -2.4)
Part A: What are the x-intercepts of the graph of f(x)
The function is given as:
f(x) = 5x^2 + 2x - 3
Expand the function
f(x) = 5x^2 + 5x - 3x - 3
Factorize the function
f(x) = (5x - 3)(x + 1)
Set the function to 0
(5x - 3)(x + 1) = 0
Solve for x
x = 3/5 and x =-1
Hence, the x-intercept is 3/5 and -1
Part B : Is the vertex of the graph of f(x) going to be a maximum or a minimum?
The vertex of the function is a minimum.
This is so because the leading coefficient of the function is positive
Here, we have:
f(x) = 5x^2 + 2x - 3
Differentiate and set to 0
10x + 2 = 0
Solve for x
x = -0.2
Substitute x = -0.2 in f(x) = 5x^2 + 2x - 3
f(0.2) = 5(0.2)^2 + 2(0.2) - 3
Evaluate
f(0.2) = -2.4
Hence, the vertex of the function is (0.2, -2.4)
Part C: What are the steps you would use to graph f(x)?
To do this, we simply plot the x-intercept and the vertex.
And then connect the points.
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En una granja hay gallinas y vacas, en total uman 624. Se sabe que el numero de vacas son 36 veces mas que el numero de gallinas. Cuantas vacas hay en total?
AYUDA PORFA
Answer:
17 R 12
Step-by-step explanation:
Hola,
en total son 624 y las vacas son 36 mas que las gallinas, vos tienes que divider 624 con 36
624÷36
Kurt company purchased $5000 of merchandise from Marilyn company with terms of 2/10 n/40. What amount will Kurt company pay to Marilyn company if Kurt company takes advantage of the purchase discount?
If Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.
The terms of "2/10 n/40" indicate that Kurt company can take advantage of a 2% discount if they pay within 10 days. The full payment is due within 40 days.
To calculate the amount Kurt company will pay to Marilyn company if they take advantage of the purchase discount, we need to subtract the discount from the total amount.
The total amount of merchandise purchased is $5000.
To calculate the discount amount, we multiply the total amount by the discount percentage:
Discount amount = 2% of $5000 = 0.02 * $5000 = $100
Therefore, if Kurt company takes advantage of the purchase discount, they will pay $100 less than the total amount.
The amount Kurt company will pay to Marilyn company is:
Total amount - Discount amount = $5000 - $100 = $4900
Hence, if Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.
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do waiters or waitresses earn larger tips? to answer this question, a restaurant consultant undertook a preliminary study. the study involved measuring the percentage of the total bill left as a tip for one randomly selected waiter and one randomly selected waitress from each of 50 restaurants during a 1-week period. what conclusions can be drawn from these data?
From these data, it is difficult to draw any meaningful conclusions about which waiters and waitresses earn larger tips.
The data only measure the percentage of the total bill left as a tip for one randomly selected waiter and one randomly selected waitress from each of the 50 restaurants during a 1-week period, which does not provide a large enough sample size to draw any meaningful conclusions. In order to draw more reliable conclusions, a larger, more comprehensive study should be conducted that measures the tips for multiple waiters and waitresses from each restaurant over a longer period of time.
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PLEASE HELP!! Will mark Brainliest!
This unit is about polynomial and rational functions. What is a polynomial? What is a rational function? Are all polynomials rational functions, why or why not?
Answer:
What is a polynomial?
- In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables
What is a rational function?
- In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.
Are all polynomials rational functions?
.A function that cannot be written in the form of a polynomial, so no they are not all functions.
how much further will the spring stretch if a 0.60 kg block is added to the 1.2 kg block?
The spring will stretch 1.5 times further when the 0.60 kg block is added to the 1.2 kg block.
To determine how much further the spring will stretch when a 0.60 kg block is added to the 1.2 kg block, we need to consider Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position.
Let's assume that the spring is initially stretched by a certain amount x when only the 1.2 kg block is attached. The force exerted by the spring is given by F = kx, where k is the spring constant.
When the 0.60 kg block is added, the total mass becomes 1.2 kg + 0.60 kg = 1.8 kg. The force exerted by the spring remains the same, but the total mass affects the acceleration of the system according to Newton's second law, F = ma.
Using F = ma, we can find the acceleration of the system: F = (1.8 kg)(9.8 m/s^2) = 17.64 N.
Since F = kx, we can rearrange the equation to find x: x = F/k.
Now, if we assume the spring constant k remains constant, the displacement x will increase by a factor of 1.8 kg/1.2 kg = 1.5.
Therefore, the spring will stretch 1.5 times further when the 0.60 kg block is added to the 1.2 kg block.
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HELP ASAP !!
which answers describe the shape below ? check all that apply
.Lid of most kitchen utensils are circular. If the circumference of the pot is 154 cm, what could be the radius of the pot
Answer:
radius of the pot is 24.5 cm
Step-by-step explanation:
r≈24.51cm
Circumference = 154 cm
Using the formula
C=2πr
Solving for r
2πr = 154
r ≈ 24.50986cm
The radius of the pot will be 24.52229299≅24.522 if the circumference of the pot is 154 cm.
A circle is a Two-Dimensional closed figure that has no corners or edges. The Circle will have a diameter, radius and circumference.
The circumference of the circle is calculated by the formula,
C=2πr
where, C= Circumference of the circle
π= 3.14 (fixed value)
r= Radius of the circle
As given per the problem C= 154 cm, substitute this value in the formula and derive r
=> 2πr = 154
=> πr = 154/2
=> πr = 77
=> r = 77/π
=> r = 77/3.14
=> r= 24.52229299 ≅ 24.52
Therefore, radius(r) = 24.52
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Find the sum of 2mn and 9mn
Answer: 11mm
Step-by-step explanation:
Answer:
11mm
Step-by-step explanation:
The weight of a mandarin orange is about 6 ounces. A basket that weighs 4 ounces will hold m mandarin oranges, the total weight is 70 ounces. Which equation represents the basket of oranges?
4 + 6m = 70
6 + 4m = 70
70 + 4m = 6
70 + 6m = 4
.
Answer:
4 + 6m = 70
Step-by-step explanation:
4 is the basket
6m is the total weight of mandarins
70 is total weight
Answer
A is the answer
-13/20-7/5= enter the answer as an exact decimal or simplified fraction
Step-by-step explanation:
-13/20 = - 0.65
7/5 = 1.4
So
-0.65 - 1.4
= - 2.05
The data in the table are linear. Use the table to find the slope.
2
4
6
8
1
-2.
-5
-8
a.
b.
3
2
3
2
او را
d. 2
3
Answer:
\(m = -\frac{3}{2}\)
Step-by-step explanation:
Given
x 2 4 6 8
y 1 -2 -5 -8
Required
Determine the slope
First, pick any two corresponding x and y values.
\((x_1,y_1) =(2,1)\)
\((x_2,y_2) =(8,-8)\\\)
The slope (m) is then calculated using:
\(m = \frac{y_1 - y_2}{x_1 - x_2}\)
Substitute in, the x and y values
\(m = \frac{1 - (-8)}{2- 8}\)
\(m = \frac{1 +8}{-6}\)
\(m = \frac{9}{-6}\)
\(m = -\frac{9}{6}\)
Divide numerator and denominator by 3
\(m = -\frac{9/3}{6/3}\)
\(m = -\frac{3}{2}\)
Hence, the slope is -3/2
Answer:
Is -3/2.
Step-by-step explanation:
I just took the test!
Quadrilateral ABCD has coordinated A(-4,3)B(-3,6)C(0,8)D(-2,5). Prove that quadrilateral ABCD is a parallelogram.
Answer:
The plotted dots connect to create a parallelogram with two sets of parallel lines in the second quadrant
Step-by-step explanation:
This might be a little tricky to explain but I will try my best.
A parallelogram is a four-sided plane rectilinear figure with opposite sides parallel.
The first pair of numbers is in the second quadrant the second set is also in the second quadrant a little bit up and to the right. The third set in the line a little up, the last set is again in the second quadrant and a little further down and near the middle.
Sorry if the answer isn't what you had hoped for, feel free to ask questions about it and I'll explain the best I can.
Julia works at a music store. One of her jobs is to stock new CDs on the shelf. A recent order arrived with 215 classical CDs, 125 jazz CDs, and 330 soft rock CDs. How many groups will Julia use to arrange all of the CDs?
Julia will use 10 groups to arrange all of the CDs.
To determine the number of groups Julia will use to arrange all of the CDs, we need to find the greatest common divisor of the numbers 215, 125, and 330.
First, we can check if any of the numbers are divisible by 5:
215 is not divisible by 5
125 is divisible by 5 (125 ÷ 5 = 25)
330 is divisible by 5 (330 ÷ 5 = 66)
Now we divide 125 and 330 by 5:
125 ÷ 5 = 25
330 ÷ 5 = 66
Next, we check if any of the numbers are divisible by 2:
25 is not divisible by 2
66 is divisible by 2 (66 ÷ 2 = 33)
Now we divide 66 by 2:
66 ÷ 2 = 33
Therefore, the greatest common divisor of 215, 125, and 330 is 5 × 2 = 10.
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the value of a car depreciates at a rate of 5.4% a year if the costs £6300, how much will it be worth in 3 years
Answer:
8.4
Step-by-step explanation:
Find the exact length of the curve.y = 3 + 4x^3/2, 0 ≤ x ≤ 1
The exact length of the curve. y = 3 + 4x^3/2, 0 ≤ x ≤ 1 is L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.
To find the length of the curve, we need to use the arc length formula:
L = ∫√(1+(dy/dx)^2) dx, where y = 3 + 4x^(3/2) and 0 ≤ x ≤ 1.
First, we need to find dy/dx:
dy/dx = (12x^(1/2))/2√(3 + 4x^(3/2))
dy/dx = 6x^(1/2)/√(3 + 4x^(3/2))
Now, we can substitute this into the arc length formula:
L = ∫√(1+(6x^(1/2)/√(3 + 4x^(3/2)))^2) dx, from 0 to 1.
Simplifying the inside of the square root, we get:
L = ∫√(1+(36x)/(3 + 4x^(3/2))) dx, from 0 to 1.
We can simplify this further by multiplying the numerator and denominator of the fraction by (3 - 4x^(3/2)):
L = ∫√(1+36x(3-4x^(3/2))/(9-16x^3)) dx, from 0 to 1.
Expanding the numerator, we get:
L = ∫√((9+108x-144x^(5/2))/(9-16x^3)) dx, from 0 to 1.
Simplifying the expression under the square root, we get:
L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.
We can evaluate this integral using numerical methods, such as Simpson's rule or the trapezoidal rule, to get an approximation of the length of the curve. The exact length of the curve cannot be expressed in a finite number of terms, but it can be approximated to any desired degree of accuracy using numerical methods.
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Please answer this question
The Pythagorean Theorem is explained in this problem.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.More can be learned about the Pythagorean Theorem at brainly.com/question/30203256
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Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle: 3,16,17 A. Not a triangle B. Acute C. Right D, Obtuse
Answer: B. Acute
Step-by-step explanation:
It cannot be right, because when doing the Pythagorean test it does not work, and it cannot be obtuse because (3)^2+(16)^2 isn’t greater than (17)^2, so this means it has to be acute.
M is the midpoint of AB. For each pair of points A and B, find the coordinates
of M.
1. A(3, 4) and B(1, 6)
2. A(2, −3) and B(−4, 3)
3. A(−5, −6) and B(−2, 1)
Answer:
1. (2,5) 2. (-1,0) 3. (-3.5,-3.5)
Step-by-step explanation:
to solve these you need to take the x and y of each point and find the number in-between for example number 1 the x value is 3, and 1, the number in-between is 2. The way I like to do these is with a graph, place both points on the graph and connect them with a line find the middle of the line and that's your midpoint.
3 Each spinner shown is divided into equal
sections. Felix spins each spinner 30 times. He
records the number of times each section is
spun.
(5)
A
(8)
B
24
(6)
45
03
Red
(7)
(4)
Based on the results of the first 30 spins, what
is the probability that Felix will spin a green and
an F on the next spin?
Blue
(10)
Yellow
D Not here
Green
(8)
Answer:
9876567890
Step-by-step explanation:
A financial advisor has recommended two possible mutual funds for investment: Fund A and Fund B. The return that will be achieved by each of these depends on whether the economy is good, fair, or poor. A payoff table has been constructed to illustrate this situation:
STATE OF NATURE
INVESTMENT GOOD ECONOMY FAIR ECONOMY POOR ECONOMY
Fund A $10,000 $2,000 –$5,000
Fund B $6,000 $4,000 0
Probability 0. 2 0. 3 0. 5
Draw the decision tree to represent this situation.
Perform the necessary calculations to determine which of the two mutual funds is better. Which one should you choose to maximize the expected value?
Suppose there is a question about the return of Fund A in a good economy. It could be higher or lower than $10,000. What value for this would cause a person to be indifferent between Fund A and Fund B (i. E. , the EMVs would be the same)?
$21,500 this would be cause a person to be indifferent between Fund A and Fund B (i. E. , the EMVs would be the same)
EMV 1 = 0.2*10,000 + 0.3*2,000 + 0.5*-5,000 = $100EMV 2 = 0.2*6,000 + 0.3*4,000 + 0.5*-0 = $2,400.
Comparing both funds based on EMV calculations, Fund B shows a higher EMV. Therefore, to maximize expected value, we should invest in Fund B with an expected value of $2,400. First, his EMV for Fund A is not the same as Fund A's return being higher or lower in good economic conditions. Therefore, the EMC can also be higher or lower. But obviously the economy changes quickly sometimes. You don't always get the same return. So relying solely on returns is risky. Relying heavily on favorable economic conditions makes Fund A vulnerable to change and increases investor risk, so investors need to be more diversified. We can do the calculation:
Fund A return in good economy = Difference between A and B: EMV (Fund A) = EMV (Fund B) 0.2*X + 0.3(2,000) + 0.5(- 5,000) = 2 4,000.2X = 4,300X = $21,500.
Therefore, if the economy is good, Fund A's return should be $21,500 for there to be indifference between Fund A and the fund B.
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Find all of the missing angles of sides of the triangle below. Note that side lengths are in centimeters. Show and/or explain your work thoroughly and round answers to the nearest hundredth if needed.
Answer:
c=19.21
<C=90
<B=38.66°
<A=51.34
Step-by-step explanation:
12²+15²=c²
144+225=c²
c=19.21
<C=90
For angle B, the sinB=Opposite over Hypotenuse
sinB=12/19.21
sinB=0.62467
B=sin^-1(0.62467)
<B=38.66°
To find A, 180-90-38.66
<A=51.34