Answer:
8
Step-by-step explanation:
Answer: the answer is 8
Step-by-step explanation: hope this helps :)
select one card at random from the deck let A be the event that the randomly select a card is a club and let B be the event that the card is a five
Answer:
1 and 52 chance
Step-by-step explanation:
a rock found in a gold mine weighs 12 ounces.If it contains 14% gold, how many ounces of gold does the rock contain?
Answer: 1.68
Step-by-step explanation: Okay, to find this we need to use this formula:
Amount = Part percent * whole number / 100
So, now let's plug in the numbers:
Amount = 14 * 12 / 100
= 168/100
= 1.68
Therefore the amount of gold in the rock is 1.68 oz out of the 12 ounces.
I hope this helped!
Answer: 1.68
Step-by-step explanation: So, if we want to find how much gold is in the rock, it's a good idea to set up a proportion. So, it would be like this:
\(\frac{14}{100} = \frac{?}{12}\)
Now, we would cross-multiply the 12 and the 14, which is 168, and then divide it by 100. That can be found by moving the decimal 2 places left of 168.00. So, that would be 1.68. Therefore, there are 1.68 ounces of gold in the rock. I hope this helped!
Consider the following two loans for P0=$10,000.
Loan A: 3 year loan, monthly installments, annual interest rate of 5%.
Loan B: 5 year loan, monthly installments, annual interest rate of 8%.
On which loan will you pay the least interest?
The Interest (simple interest) will be less on Loan A.
What exactly is simple interest?
Simple Interest is a simple way for computing interest on a loan or principle amount. Simple interest is a concept that is employed in numerous industries, including banking, finance, and automobiles. When you make a loan payment, the monthly interest is deducted first, followed by the principle amount.
The simple interest formula is as follows:
SI=P*R*T/100
SI stands for simple interest.
P stands for principal.
R is the interest rate (in percentage)
T denotes the length of time (in years)
The following formula is used to compute the total amount:
Amount (A) = Principal (P) x Simple Interest (SI)
Now,
For A Principal=$10000, Time = 3 years, Rate=5%
then interest paid=10000*3*5/100
=300*5=$1500
For B Principal=$10000, Time = 5 years, Rate=8%
Interest=10000*5*8/100
=500*8
=$4000
That means SI(B)>SI(A)
Hence,
The Interest will be less on Loan A.
To know more about simple interest visit the link
https://brainly.com/question/25845758?referrer=searchResults
#SPJ1
permieter of 2 rectangles is 54 cm.
work out the area of a square
The Area of Square is 81 cm².
let the side of the square which is length for both rectangles be a.
let the width of rectangle be x and y.
So, x+ y= a
sum of perimeters= 54
2 (a +x ) + 2 (a+ y) = 54
2a+ 2x + 2a+ 2y = 54
2a + 2a + 2(x+ y) = 54
4a + 2 (a) = 54
4a + 2a = 54
6a = 54
a= 54/6
a= 9
So, area of square
= 9 x 9
= 81 cm²
Learn more about Area here:
https://brainly.com/question/1631786
#SPJ1
Please help with this problem
Answer:
The length of the short side is 14.5 units, the length of the other short side is 18.5 units, and the length of the longest side is 23.5 units.
Step-by-step explanation:
The Pythagorean Theorem
If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
This relationship is represented by the formula:
\(a^2+b^2=c^2\)
Applying the Pythagorean Theorem to find the lengths of the three sides we get:
\((x)^2+(x+4)^2=(x+9)^2\\\\2x^2+8x+16=x^2+18x+81\\\\2x^2+8x-65=x^2+18x\\\\2x^2-10x-65=x^2\\\\x^2-10x-65=0\)
Solve with the quadratic formula
\(\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\)
\(x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)
\(\mathrm{For\:}\quad a=1,\:b=-10,\:c=-65:\quad x_{1,\:2}=\frac{-\left(-10\right)\pm \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}\\\\x_{1}=\frac{-\left(-10\right)+ \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}=5+3\sqrt{10}\\\\x_{2}=\frac{-\left(-10\right)- \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}=5-3\sqrt{10}\)
Because a length can only be positive, the only solution is
\(x=5+3\sqrt{10}\approx 14.5\)
The length of the short side is 14.5, the length of the other short side is \(14.5+4=18.5\), and the length of the longest side is \(14.5+9=23.5\).
Is it -56/65????????????????
Answer:
\( \cos (u + v) = -\dfrac{56}{65} \)
Good job!
Step-by-step explanation:
\( \cos (u + v) = \cos u \cos v - \sin u \sin v \)
\( \sin u = -\dfrac{3}{5} \); u is in QIII.
That makes \( \cos u = -\dfrac{4}{5} \)
\( \sin v = -\dfrac{12}{13} \); v is in QIV.
That makes \( \cos v = \dfrac{5}{13} \)
\( \cos (u + v) = (-\dfrac{4}{5})(\dfrac{5}{13}) - (-\dfrac{3}{5})(-\dfrac{12}{13}) \)
\( \cos (u + v) = -\dfrac{20}{65} - \dfrac{36}{65} \)
\( \cos (u + v) = -\dfrac{56}{65} \)
You are correct.
Answer:
Step-by-step explanation:
-0.8615
M[4,6) is the midpoint of RS The coordinates of Sare (6,9). What are the coordinates of R?
Answer: coordinate r is at 4/5
Step-by-step explanation:hope this helps
Write and equation for the area of the circle given the following conditions:
d = 15
r = 5.5
The perimeter of the rectangle below is 224 units. Find the length of side PQ.
Write your answer without variables.
HELP ASAP WITH EXPLANATION: If f(x) + f(2 − x) = 4 for all x, find f(y − 2) + f(4 − y)
Answer:
f(y-2)+f(4-y)=4
Step-by-step explanation:
Assume (let) x=y-2
So: y=x+2
f(y-2)+f(4-y)=f(x)+f(-x+2)=f(x)+f(2-x)
The value of that expression is 4 from the given.
Prove that the only automorphism of a well-ordered set is the identity?
The only automorphism of a well-ordered set is the identity.
To prove this statement, we need to show that any automorphism of a well-ordered set must be the identity function. An automorphism is a bijective function that preserves the order structure of the set.
Assume we have a well-ordered set (W, ≤), where W is the set and ≤ is the order relation.
Let f: W → W be an automorphism of the set.
We aim to prove that f is the identity function, i.e., f(x) = x for all x ∈ W.
Suppose, for contradiction, that there exists an element a ∈ W such that f(a) ≠ a.
Since f is a bijective function, there must exist some b ∈ W such that f(b) = a.
Since (W, ≤) is well-ordered, there is a least element c in the set {x ∈ W : f(x) ≠ x}.
Let d = f(c). Since f is an automorphism, f(c) ≠ c, and thus d ≠ c.
Since (W, ≤) is well-ordered, there is a least element e in the set {x ∈ W : f(x) = d}.
Consider the element f(e). Since f is a bijective function, there must exist some f^{-1}(f(e)) = e' ∈ W such that f(e') = f(e) = d.
By the definition of automorphism, f(f^{-1}(y)) = y for all y ∈ W. Applying this property to e', we have f(f^{-1}(f(e'))) = f(e') = d.
However, f^{-1}(f(e')) = e' ≠ c, and thus f(e') ≠ d. This contradicts the fact that e is the least element in the set {x ∈ W : f(x) = d}.
Therefore, our assumption that there exists an element a such that f(a) ≠ a is false.
Since we assumed f(a) ≠ a for arbitrary a ∈ W, it follows that f(x) = x for all x ∈ W.
Hence, the only automorphism of a well-ordered set is the identity function.
Therefore, we have proven that the only automorphism of a well-ordered set is the identity function.
For more such questions on automorphism, click on:
https://brainly.com/question/30894112
#SPJ8
Calculate the mean of the electric bills for Family A. Round your answer to the nearest cent.
Month Family A Family C
January
February
March
April
May
June
July
August
September
October
November
December
$
Answer:
78.59$
Step-by-step explanation:
The volume of a cylinder varies jointly with the square of its radius and with its height: V=kr2h
Cylinder A has a volume of 254.34 cubic inches and has a radius of 3 inches and a height of 9 inches. What is the volume of cylinder B, which has a radius of 4 inches and a height of 5 inches?
Answer:
v = pi x r^2 x h
3.14 x 16 x 5 =251.2
hope that answers your question
show that the volume of the unit cube is one
Check the picture below.
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
May I have heart, 5 star, and brainliest please?
There are 24 cookies for the price of 3.50 what is the price of one cookie
Answer:
Tu divises 3.50$ par 24 cookies donc environ 14 centimes
Graph the equation. Identify the intercepts.
1.) y + 2 = -4(x - 2)
x-int:
y-int:
For the following equation, the x-intercept is (3/2, 0) and the y-intercept is (0, 6).
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
y+2=-4(x-2)
for x-intercept=(x,0)
2=-4(x-2)
2=-4x+8
4x=6
x=6/4=3/2
for y-intercept=(0,y)
y+2=-4(*-2)
y=6
The x-intercept is (3/2,0) and y-intercept is (0,6) for given equation.
To know more about equation,
https://brainly.com/question/2228446
#SPJ1
4x+5(7x-3)=9(x-5)
x=???
Answer:
i think its 3 im not sure
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
Given equation,
→ 4x + 5(7x - 3) = 9(x - 5)
Now the value of x will be,
→ 4x + 5(7x - 3) = 9(x - 5)
→ 4x + 35x - 15 = 9x - 45
→ 39x - 15 = 9x - 45
→ 39x - 9x = -45 + 15
→ 30x = -30
→ x = -30/30
→ [ x = -1 ]
Hence, the value of x is -1.
pls helppp this is so confusinggg
Answer: .025
Step-by-step explanation: we first have to find the distance between each term we divide 12/5 by 6 you have to change it into multiplication so you invert is to 12/5 times 1/6 you then get 12/30 you reduce that to become 2/5 if you want to test this to make sure it is right then you can. you then use a formula but I can't remember it so then you can just multiply it several times to find the answer. you get the answer by round from the thousandths
Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
For more related questions on time spent:
https://brainly.com/question/28263820
#SPJ8
Yoga Common Core Performance Assessment_ Regina takes yoga classes 2 days a week at the community center. The cost for the classes is $72, and Regina pays an additional one-time fee of $12 to rent the yoga equipment used in class. The classes run for 6 weeks. The local gym offers the same yoga program, including equipment, for $8 a class. Is Regina paying more or less than what the local gym charges for yoga classes?
On solving the provided question, we can say that - by the help of unitary method the value of 9 units will be
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
cost for the 12 classes = $72
cost of 1 unit = $6
cost of 9 units = $54
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
What’s the answer to this question
ASAP
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 103° is added to the data, how does the mean change?
The mean increases by 1.7°.
The mean decreases by 1.7°.
The mean increases by 8.6°.
The mean decreases by 8.6°.
Answer:80.8
Step-by-step explanation:
7(x+4)-6(x+3)=x+5
What is x?
Answer:
Equation has no solutions.
Step-by-step explanation:
7x + 28 - 6x - 18 = x + 5
7x + 10 - 6x = x + 5
x + 10 = x + 5
x + 10 - 10 = x + 5 - 10
x = x - 5
x - x = x - x - 5
0 ≠ - 5
The diagonal of a rectangle measures 8√2 inches. If the width is 8inches less than the length, then find the dimensions of the rectangle
We have the following situation:
• The diagonal of a rectangle is equal to 8√2 inches.
,• The width is 8 inches less than the length
And we need to find the dimensions of the rectangle.
Then we can proceed as follows:
1. We know that all the internal angles of a rectangle are right angles, and the diagonals are congruent. We also know that the width of this rectangle is 8 inches less than the length:
\(\begin{gathered} w=l-8 \\ \\ d=8\sqrt{2} \end{gathered}\)2. Then we can draw the situation as follows:
3. Now, we can apply the Pythagorean Theorem as follows:
\(\begin{gathered} (8\sqrt{2})^2=l^2+w^2=l^2+(l-8)^2 \\ \\ \text{ Then we have:} \\ \\ l^2+(l-8)^2=(8\sqrt{2})^2 \\ \\ l^2+(l-8)^2=8^2(2) \\ \\ l^2+(l-8)^2=64(2)=128 \\ \\ l^2+(l-8)^2=128 \end{gathered}\)4. We have to expand the binomial expression on the left side of the equation:
\(\begin{gathered} l^2+l^2-2(8)(l)+8^2=128 \\ \\ 2l^2-16l+64=128 \\ \\ 2l^2-16t+64-128=0 \\ \\ 2l^2-16l-64=0 \end{gathered}\)5. Now, we need to apply the quadratic formula to find the value of l as follows:
\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a},ax^2+bx+c=0\)6. Then we have that:
\(\begin{gathered} 2l^{2}-16l-64=0 \\ \\ a=2,b=-16,c=-64 \\ \\ \text{ Then we have:} \\ \\ x=\frac{-(-16)\pm\sqrt{(-16)^2-4(2)(-64)}}{2(2)} \\ \\ x=\frac{16\pm\sqrt{256+512}}{2(2)}=\frac{16\pm\sqrt{768}}{4} \end{gathered}\)7. Now, to simplify the radicand, we need to find the factors of 768:
\(768=2^8*3\)Now, we have:
\(\begin{gathered} \sqrt{768}=\sqrt{2^8*3}=(2^8*3)^{\frac{1}{2}}=2^{\frac{8}{2}}*3^{\frac{1}{2}}=2^4*\sqrt{3}=16\sqrt{3} \\ \\ \sqrt{768}=16\sqrt{3} \end{gathered}\)8. Then the values for l are two possible ones:
\(\begin{gathered} x=\frac{16\pm\sqrt{768}}{4}=\frac{16\pm16\sqrt{3}}{4} \\ \\ x=\frac{16+16\sqrt{3}}{4},x=\frac{16-16\sqrt{3}}{4} \\ \\ x_1=\frac{16}{4}(1+\sqrt{3}),x_2=\frac{16}{4}(1-\sqrt{3}) \\ \\ x_1=4(1+\sqrt{3}),x_2=4(1-\sqrt{3}) \end{gathered}\)We can see that x2 gives us a negative value, and since we are finding a length, which is a positive value, then the value for l is:
\(\begin{gathered} x_1=4(1-\sqrt{3})\approx−2.92820323028 \\ \\ x_2=4(1+\sqrt{3})\approx10.9282032303\text{ }\rightarrow\text{ This is the value we are finding.} \\ \text{ This is positive.} \end{gathered}\)9. Now, we have that:
\(\begin{gathered} l=4(1+\sqrt{3}) \\ \\ \text{ Since }w=l-8,\text{ then we have:} \\ \\ w=4(1+\sqrt{3)}-8=4+4\sqrt{3}-8=4-8+4\sqrt{3}=-4+4\sqrt{3} \\ \\ w=4(-1+\sqrt{3})=4(\sqrt{3}-1)\approx2.92820323028 \\ \\ w=4(\sqrt{3}-1) \end{gathered}\)10. Now, we can check both values as follows:
\(\begin{gathered} l^2+w^2=d^2 \\ \\ (4(1+\sqrt{3})^)^2+(4(\sqrt{3}-1))^2=(8\sqrt{2})^2 \\ \\ 128=128\text{ }\rightarrow\text{This result is always true.} \end{gathered}\)Therefore, in summary, the dimensions of the rectangle are:
\(\begin{gathered} l=4(1+\sqrt{3})=4(\sqrt{3}+1) \\ \\ w=4(\sqrt{3}-1) \end{gathered}\)
Judith made 3/5 of a liter of hot chocolate. Each mug holds 1/5 of a liter. How many mugs
will Judith be able to fill?
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Out of a randomly selected 500 people from the population, how many of them would have an IQ higher than 132, to the nearest whole number?
Statistics Calculator
Out of a randomly selected 500 people from the population, the number of people who would have an IQ higher than 132 is equal to 492 people.
How to determine the corresponding z-score for the IQ scores?Mathematically, the z-score of a given sample size or data set can be calculated by using this formula:
Z-score, z = (x - μ)/σ
Where:
σ represents the standard deviation.x represents the sample score.μ represents the mean score.Substituting the given parameters into the z-score formula, we have the following;
Z-score, z = (x - μ)/σ
Z-score, z = (132 - 100)/15
Z-score, z = 32/15
Z-score, z = 2.13
For an IQ higher than 132, we have the following p-value and probability;
p-value, p = p(x > 132)
p(x > 132) = 1 - p(z < 2.13)
p(z < 26.67) = 1 - 0.00001
p(z < 26.67) = 0.9834
Number of people = 0.9834 × 500
Number of people = 491.7 ≈ 492 people.
Read more on z-score here: https://brainly.com/question/19891251
#SPJ1
Please help with this. I will give you 5 score
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
For more such question on monopolist. visit :
https://brainly.com/question/28336090
#SPJ8
Can you help me answer this question? (Explain answer please, if you can)
Mr. Perez designs a probability model to help him predict which color car his customers will want to buy. He puts equal numbers of red, black, white, gray and blue slips of paper into a bag to represent all the different possible car colors. Which of the following statements about the model are true?
A. Mr Perez will most likely not pull any black slips.
B. Mr. Perez will more likely to pull a red slip than a blue slip.
C. Adding another white slip would make this a non-uniform probability model.
D. The results of Mr. Perez’s experiment are likely to exactly math the frequency with which his costumers select each color of car.