3. In the figure shown, a circle with center O and radius of length 3 units is
inscribed in a square. What is the area of the shaded region? *
A. 3.86 square units
B. 7.73 square units
C. 28.27 square units
D. 32.86 square units
Answer:
C
Step-by-step explanation:
To find the area of a circle, take its radius (3) and square it. In this case, 3 times 3 = 9. Then, you multiply the answer by pi, which rounds to 3.14, but is more like 3.14159265......etc, etc. There is a rhyme for that: May I have a large container of coffee beans? Where the length of each word is a number of pi. Anyway, most people would write 9pi, but this is asking for the exact answer, so you can do 3.14 times 9, which equals roughly 28.27. Hope this helped!
I have a calculus question about approximating areas, pic included
Since the equation of the curve is
\(f(x)=2x^2-16x+36\)To find the area under the curve we will use the integration
\(A=\int_a^bf(x)dx\)a = 0, b = 2
\(A=\int_0^2(2x^2-16x+36)dx\)In integration, we add the power of x by 1 and divide the term by the new power
\(A=[\frac{2x^{2+1}}{2+1}-\frac{16x^{1+1}}{1+1}+32x]_0^2\)We will simplify the bracket
\(A=[\frac{2x^3}{3}-8x^2+32x]_0^2\)Now we will substitute x by 2 and 0, then subtract the values of them
\(A=[\frac{2(2^3)}{3}-8(2^2)+32(2)]-[\frac{2(0)}{3}-8(0)+32(0)]\)Simplify
\(\begin{gathered} A=[\frac{16}{3}-32+64]-0 \\ \\ A=\frac{16}{3}-\frac{96}{3}+\frac{192}{3} \\ \\ A=\frac{112}{3}=37\frac{1}{3} \end{gathered}\)The area under the curve is 37 1/3 square units (37.3333)
This week, Ivania ran a total of 20 km, which is 6.5 km farther than she ran last week. If w represents the number of kilometers she ran last week, what is the equation that models this situation?
Answer:
Step-by-step explanation:
6.5 + w = 20
13.5 km
Answer:
C first then for second one is b
Step-by-step explanation:
I just did the assignment
Of the 125 gusts invited to a wedding, 104 attended the wedding. What percent of the invited guests attended the wedding?
Answer:
0.832 percent or if you need it rounded 83 percent of guests.
Step-by-step explanation:
104/125= 0.832
Hope this helps!
Answer:
83%
Step-by-step explanation:
So you get the amount of guest who came to the wedding.
Then you divide the amount of who came then the guest who were invited.
Divide 104 ÷ 125 = 83
So thats how I got my answer
Help please please please! I will mark you as brainlist !!!
Answer:
-90
Step-by-step explanation:
I took -90 divided it by 3 which gave me the answer of -30.
Answer:
I think it will be A.
Step-by-step explanation:
Because 9/3 =3 so 90/3 =30 . Same goes with Negative integers!
Reading through a credit card disclosure (aka the Schumer Box), you see the APR for a specific card is set at 9.99% - 23.99%. Which statement is true?
One of the primary factors determining your card's A.P.R. is your credit score is "True". The correct answer is B.
Credit card issuers evaluate applicants' creditworthiness based on their credit scores, among other factors, and use this information to determine the interest rate they will be charged. Higher credit scores generally result in lower A.P.R.s, reflecting a lower risk profile.
However, it is important to note that the specific A.P.R. offered to an individual may also depend on other factors, such as the card's terms and conditions, the applicant's income, and the card issuer's policies. It is incorrect to assume that most cardholders pay the lowest rate listed when given a range of A.P.R.s, as individual circumstances and creditworthiness vary.
Additionally, higher A.P.R.s do not benefit cardholders, as they result in increased interest charges. The notion that A.P.R.s on credit cards are usually fixed and not adjusted is also incorrect, as A.P.R.s can be variable and subject to change based on various factors.
Therefore, the correct answer is B) One of the primary factors determining your card's A.P.R. is your credit score.
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Note: The question would be as
Reading through a credit card disclosure (aka the Schumer Box), you see the A.P.R. for a specific card is set at 9.99% -23.99%. Which of the following statements is probably TRUE?
a. When given a range of A.PR.s like this, you can assume most cardholders pay the lowest rate listed
b. One of the primary factors determining your card's A.P.R. is your credit score
c. With credit card A.PR.s, cardholders like higher A.P.R.s because they earn more
d. The A.PR. on credit cards is usually fixed so they won't be adjusted as long as you are a cardholder
Please answer this it is easy
Answer:
480 people
Step-by-step explanation: 180/x=37.5/100 cross multiply. x=480.
س 2.5 To find the integration for certain function, we use A int .B integration .C dsolve D diff
The integration for certain function can be found by using the term "integration".
Integration refers to a mathematical operation that can be used to determine the area under a curve. Integration is used in calculus to find the integral of a function. In order to find the integral of a function, we must use the term "integration".Therefore, the correct answer to the given question is: B) integration.Explanation:Integration is used in calculus to find the integral of a function. The integral of a function f(x) from a to b is denoted by ∫ab f(x) dx, and it represents the area under the curve of f(x) between the limits a and b. The process of finding the integral of a function is called integration, and it is the inverse of differentiation. Integration can be used to solve a variety of problems in mathematics, physics, and engineering.
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Which of the following pairs of triangles are similar?
Victor runs 1/2 of a mile each day. Steve runs 3/4 of the distance that Victor runs. How long does Steve run?
Steve runs \(\frac{3}{8}$\) of a mile each day.
What is Miles?For instance, traveling at 60 mph equates to traveling 60 miles per hour. There are an hour in 60 minutes, so partition the miles by that sum, and presto! One mile can be covered in one minute.
According to question:Victor runs \(\frac{1}{2}$\) of a mile each day.
Steve runs \(\frac{3}{4}$\) of the distance that Victor runs, which is \(\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$\) of a mile.
Therefore, Steve runs \(\frac{3}{8}$\) of a mile each day.
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hey! please help i’ll give brainliest
Answer: A.
Step-by-step explanation: Think of present tense, past tense, future tense
Answer:
A
Step-by-step explanation:
A ball is thrown directly upward from a height of 3 ft with an initial velocity of 20 ft/sec. The function s(t)=-16t^2+20t+3 gives the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.
Answer:
#1: s'(t)= -32t+20
#2: -32t+20=0
t=2/3
#3: s(2/3)=-16(2/3)^2+20(2/3)+3=83/9
Step-by-step explanation:
first find the derivative of the original funtion #1
set the equation equal to 0 because when s't=0 is the maximum height
put the t at highest point into the funtion to solve for distance
All dynamic games must be written in the extensive form and all static games must be written in the normal form. True/False
False. The statement is incorrect. Both dynamic games and static games can be represented in either extensive form or normal form, depending on the nature of the game and the level of detail required.
The extensive form is typically used to represent dynamic games, where players make sequential decisions over time, taking into account the actions and decisions of other players. This form includes a timeline or game tree that visually depicts the sequence of moves and information sets available to each player.
On the other hand, the normal form is commonly used to represent static games, where players make simultaneous decisions without knowledge of the other players' choices. The normal form presents the game in a matrix or tabular format, specifying the players' strategies and the associated payoffs.
While it is true that dynamic games are often represented in the extensive form and static games in the normal form, it is not a strict requirement. Both forms can be used to represent games of either type, depending on the specific context and requirements.
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what does (-2,-3) look like on a graph
Answer:
looks like a line kinda
Step-by-step explanation:
assume that you have a square. what can you conclude from applying the law of detachment to this conditional?if you have a square, then you have a rectangle.
If you apply the law of detachment to the conditional "if you have a square, then you have a rectangle," you can conclude that if you have a square, you must also have a rectangle.
This is because the law of detachment states that if a conditional statement is true and the antecedent (the "if" clause) is also true, then the consequent (the "then" clause) must also be true.
In this case, the conditional "if you have a square, then you have a rectangle" is true because all squares are rectangles (since a rectangle is defined as a geometric figure with four straight sides and four right angles). Therefore, if you have a square, you can conclude that you also have a rectangle.
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mass of water vapor (g) / mass of dry air (kg)
is the humidity measure of....
-the mixing ratio.
-relative humidity.
-vapor pressure.
-absolute humidity.
The mass of water vapor (g) / mass of dry air (kg) is the humidity measure of the mixing ratio
The mixing ratio is defined as the mass of water vapor in grams divided by the mass of dry air in kilograms in a mixture of air and water vapor. It is a useful parameter for meteorologists and atmospheric scientists to describe the amount of water vapor in the atmosphere, particularly in the upper atmosphere where the relative humidity may be very low.
Relative humidity is the ratio of the partial pressure of water vapor in the air to the equilibrium vapor pressure at a given temperature and pressure, expressed as a percentage. Vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature in a closed system. Absolute humidity is the mass of water vapor per unit volume of moist air.
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Which expression can be simplified to find the solution(s) of the equation 2x²-x-15-0
The expression is option B and the solutions of the equation 2x² - x - 15 = 0 are x = 3 and x = -5/2.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
The solutions of a general quadratic equation ax² + b x + c = 0 can be found using the formula,
x = [-b ± \(\sqrt{b^2-4ac}\) ] / 2a
Given quadratic equation is 2x² - x - 15 = 0.
a = 2, b = -1 and c = -15
Solutions of the equation can be found using the formula.
x = [-(-1) ± \(\sqrt{(-1)^2-4(2)(-15)}\) ] / 2(2)
= [1 ± \(\sqrt{1-4(2)(-15)}\) ] / 2(2), which is the expression given in option B.
Solving this,
x = 1 ± \(\sqrt{1+120}\) ] / 4
x = (1 ± 11) / 4
x = 3 and x = -10/4 = -5/2
Hence the required expression is option B.
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Your question is incomplete. The complete question with the missing part is given below.
Which expression can be simplified to find the solution(s) of the equation 2x²-x-15 = 0?
A. [1 ± \(\sqrt{1-4(2)(15)}\)] / 2(2)
B. [1 ± \(\sqrt{1-4(2)(-15)}\)] / 2(2)
C. [1 ± \(\sqrt{1+4(2)(15)}\)] / 2(2)
D. [1 ± \(\sqrt{-1-4(2)(-15)}\)] / 2(2)
E. [-1 ± \(\sqrt{1-4(2)(-15)}\)] / 2(2)
a canister of cheese ball measures 12 inches high and its base has a diameter of 6 inches. what is the volume of a canister (rounded to the nearest 10
The volume of the canister is 339.1 cubic inches.
The volume of a cylinder is calculated by using the formula V=πr²h, where r is the radius of the cylinder and h is the height of the cylinder.
The radius of the cylinder is half of the diameter, so the radius of the canister is 3 inches.
Using the formula, we can calculate the volume of the canister as follows:
V = π×3²×12
V = 108×3.14
V = 339.1 cubic inches
Therefore, the volume of the canister is 339.1 cubic inches.
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write one problem statement for each subject area that stactistics can solve
Answer:
look in explanation
Step-by-step explanation:
what is the probability of the ball hitting u in dodge ball in pe
what is the ratio of your computer to everyone else's in comp science
how much of your essay did you finish (in a fraction)
how many people are there in psychology class for every notebook?
In the survey of a community, 55 percent of the people like to listen the radio. 65 percent like to watch the TV. 35 percent like to listen the radio, as well as to watch TV tv.
Answer:
good to know:)
Step-by-step explanation:
pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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Solve for x.
5x/−6 = −40/3
Enter your answer in the box
Answer:
\(x = 16\)
That's your answer
Answer:
5x/_6 =_40/3(cross product)
after,15x/15=240/15
x=16
plsssssssssss help me
Answer: 40
Step-by-step explanation:
38+ 52=90
230-90=40
Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standard error of the mean,ox, is 3.1. A random sample of 25 of the times chosen. What interval captures 68% of the means for random samples of 25 scores?
Answer:
\( 94.2 -0.994*3.1 = 91.1186\)
\( 94.2 +0.994*3.1 = 97.2814\)
And the 68% confidence interval is given by (91.1186, 97.2814)
Step-by-step explanation:
For this case we know that mean time that visitors stay at a museum is given by:
\( \bar X = 94.2 \)
The standard deviation is given by:
\( s= 15.5\)
And the standard error is given by:
\( SE = \frac{s}{\sqrt{n}} =3.1 \)
And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:
\( z_{\alpha/2}= \pm 0.994\)
We can find the interval like this:
\( \bar X \pm ME\)
And replacing we got:
\( 94.2 -0.994*3.1 = 91.1186\)
\( 94.2 +0.994*3.1 = 97.2814\)
And the 68% confidence interval is given by (91.1186, 97.2814)
What two numbers has a sum of 9 and a product of 30
The two numbers are 3 and 6. We can then solve for y using the quadratic formula:y = [9 ± √(81 - 120)]/2 , y = 3 or 6
The sum of two numbers (x + y) = 9
The product of two numbers (x * y) = 30
We can solve for x and y using the following equations:
x + y = 9
x * y = 30
We can solve for x by dividing both sides of the equation by y:
x = (30/y)
We can then substitute this into the first equation:
(30/y) + y = 9
We can then solve for y by subtracting 30/y from both sides:
y = 9 - (30/y)
We can then solve for y by multiplying both sides by y:
y^2 = 9y - 30
We can then solve for y using the quadratic formula:
y = [9 ± √(81 - 120)]/2
y = 3 or 6
Therefore, the two numbers are 3 and 6.
the complete question is :
What are the two numbers has a sum of 9 and a product of 30 ?
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Solve for x and find DFG
Since FE bisects <DFG, then the value of x and measure of <DFG are:
a. x = 24
b. m<DFG = 106^o
What is an angle bisector?An angle bisector is a straight line constructed in such a way that it divides a given angle into two equal measures.
Thus given that FE bisects <DFG, this implies that;
i. m<DFE ≅ m<EFG
So that,
3x - 19 = 2x + 5
collect like terms to have;
3x - 2x = 19 + 5
x = 24
To solve for x, the value of x is 24^o.
ii. To determine the measure of DFG;
m<DFG = (3x - 19) + (2x + 5)
= (3(24) - 19) + (2(24) + 5)
= 53 + 53
= 106
m<DFG = 106^o
The measure of <DFG is 106^o.
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Devon bought a new suit that was discounted 40% off the original price. If the original price of the suit was $280, what was the discounted price?
a) $140
b) $392
c) $112
d) $168
Answer:
c
Step-by-step explanation:
A toy company is packaging its toy to be shipped. Each small toy is placed inside a cube- shaped box with side lengths of 1/8 in. These smaller boxes are then placed into a larger box with dimensions of 12in. X 4 1/2in. X 3 1/2 in.
Answer:
1512
189 in³
Step-by-step explanation:
Here is the complete question
A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of 1/2 in. These smaller boxes are then placed into a larger box with dimensions of 12 in. × 4 1/2 in. × 3 1/2 in.
a. What is the greatest number of small toy boxes that can be packed into the larger box for shipping?
b. Use the number of small toy boxes that can be shipped in the larger box to help determine the volume of the shipping box
A. greatest number of small toy boxes that can be packed into the larger box for shipping = volume of larger box / volume of smaller box
volume of larger box = length x width x height = 12 in. × 4 1/2 in. × 3 1/2 in = 189 in³
volume of smaller box = volume of a cube = side length³ = \(\frac{1}{2}\)³ = 1/8 in³
189 ÷\(\frac{1}{8}\) = 189 x = 1512
b. 1/8 x 1512 = 189 in^3
which expression is equivalent to (1 tanθ)tan(2θ) for all values of θ for which (1 tanθ)tan(2θ) is defined?
The given expression of trigonometry is equivalent to cos(2θ).
What is trigonometric function ?trigonometry capability, in math, one of six capabilities (sine [sin], cosine [cos], digression [tan], cotangent [cot], secant [sec], and co-secant [csc]) that address proportions of sides of right triangles. These six geometrical capabilities comparable to a right triangle.
According to question:We have,
1 - tan^2(θ)/1 + tan^2(θ)
Use 1 + tan^2(θ) = sec^2(θ)
1 - tan^2(θ)/ sec^2(θ)
1/ sec^2(θ) - tan^2(θ)/sec^2(θ)
Use tan(θ) = sin(θ)/cos(θ)
cos^2(θ) - sin^2(θ)×cos^2(θ)/cos^2(θ)
cos^2(θ) - sin^2(θ)
Using sin^(θ) + cos^2(θ) = 1
cos^2(θ) - (1 - cos^2(θ))
2cos^2(θ) - 1
Here we have 2cos^2(θ) - 1 = cos(2θ)
Then, simplification of given expression is cos(2θ).
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Correct question:
which expression is equivalent to 1 - tan^2(θ)/1 + tan^2(θ) for all values of θ for which 1 - tan^2(θ)/1 + tan^2(θ) is defined?
What’s a function with a slope of 4 that includes the point a (- 1, 3)? I need an equation