How many real solutions are there for the function graphed below?
No Real Solution
1 Real Solution
2 Real Solutions
Infinite Number of Solutions
The height of a cone is equal to the diameter of the base. what expression represents the volume of the cone, in cubic units? πx3 πx2 2πx3 4πx3
The formula for a cone is given as:
V = π r^2 h / 3 ---> 1
Where,
V = volume of the cone
r = radius of the circle base of the cone
h = is the perpendicular length from the center of the base of the cone to the tip at the top
It was given that:
h = d
but d = 2 r, therefore:
h = 2 r
Substituting this to equation 1:
V = π r^2 (2 r) / 3
V = 2 π r^3 / 3
Since r = x, the answer from the choices is:
2πx3
The expression representing the volume of the cone is (2/3)πx^3, where x represents the cone's radius.
Step 1: Identify Key Information
We are given that the height (h) of the cone is equal to the diameter (d) of the base. The diameter is twice the radius (r).
Step 2: Apply Formula and Substitute
The formula for the volume of a cone is:Volume (V) = (1/3) * π * r^2 * h
Since h = d = 2r, we can substitute:V = (1/3) * π * r^2 * (2r)
Step 3: Simplify the Expression
V = (1/3) * π * r^2 * 2rV = (2/3) * π * r^3A seamstress is paid $9.55 for every pair of pants made. how many pants would have to be made to receive $525.00 a week?
To receive $525.00 a week, a seamstress being paid $9.55 per pair of pants made would need to make approximately 55 pairs of pants.
Let’s denote the number of pairs of pants that need to be made as x.
The seamstress is paid $9.55 for every pair of pants.
We want to find the number of pairs of pants needed to earn $525.00, so we set up the equation:
[tex]9.55 \times x = 525.00[/tex]
Solve for x:
[tex]x = \frac{525.00}{9.55} \approx 54.97[/tex]
Since we can’t make a fraction of a pair, we round up to the nearest whole number:
The seamstress would need to make 55 pairs of pants (which means a total of 110 pants) to receive $525.00 a week.
PLEASE HELP! (8)/(5x) - (4)/(x^2) Show your work :)
The probability that a train leaves on time is 0.4. The probability that the train arrives on time and leaves on time is 0.28. What is the probability that the train arrives on time, given that it leaves on time?
0.4
0.12
0.28
0.7
The probability that the train arrives on time, given that it leaves on time is 0.7
Explanation:The question asks for the probability that the train arrives on time, given that it leaves on time. This is a conditional probability problem, and we can use the formula for conditional probability, which is P(A|B) = P(A and B)/P(B).
In this case, event A is the train arrives on time, event B is the train leaves on time. We know that P(A and B) = 0.28 (the probability that the train arrives on time and leaves on time) and P(B) = 0.4 (the probability that the train leaves on time).
By substituting these values into the formula, we get P(A|B) = 0.28/0.4 = 0.7. So, the probability that the train arrives on time, given that it leaves on time is 0.7.
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You accidentally dropped a coin from the top of 7 stairs. What is the probability that it will land below the sixth step and heads up?
Answer:
The probability that it will land below the sixth step and heads up is [tex]\frac{1}{14}[/tex]
Step-by-step explanation:
Given : You accidentally dropped a coin from the top of 7 stairs.
To find : What is the probability that it will land below the sixth step and heads up?
Solution :
A coin has two sides - head and tail.
Probability of getting head is
[tex]P(H)=\frac{1}{2}[/tex]
Total stairs are 7.
Coin will land below the sixth step i.e. it land on 7th step.
So, Probability of landing coin on below the sixth step is
[tex]P(L)=\frac{1}{7}[/tex]
Now, The probability that it will land below the sixth step and heads up is
[tex]P=\frac{1}{2}\times \frac{1}{7}[/tex]
[tex]P=\frac{1}{14}[/tex]
Therefore, The probability that it will land below the sixth step and heads up is [tex]\frac{1}{14}[/tex]
eight more than the product of two and a number x
Find the distance between A and C. Simplify completely.
A = (1,3)
C = (-4,-4)
-4-1 =-5, -5@ = 25
-4-3 = -7, -7^2 = 49
25+49 = 74
sqrt(74) = 8.602
round answer as needed.
Please help me on this one
south America = 2.2%
2.2% = 0.022
0.022 = 22/1000 which reduces to 11/500
A sequence is defined recursively using the formula f(n+1)=-0.5f(n). If the first term on the sequence is 120, what is f(5)
F(n+1)=-0.5f(n) 120 f (5)
Let f( x)= sin(x) Let g(x)=cos(x) a) Sketch the graph of f^2 b) Sketch the graph of g^2 c) Sketch the graph of f^2+g^2
To sketch the graphs, square the y-values of sin(x) and cos(x) to get f^2(x) and g^2(x), respectively. Then, add the squared y-values of f(x) and g(x) to get f^2(x)+g^2(x). Plot the points obtained for each function and sketch the graphs.
Explanation:a) To sketch the graph of f^2, we need to square every y-value of the function f(x)=sin(x). This means finding the square of the sine of each angle. For example, f^2(0)=sin^2(0)=0^2=0. By repeating this process for multiple angles, we can plot the points and sketch the graph.
b) Similarly, to sketch the graph of g^2, we need to square every y-value of the function g(x)=cos(x). This means finding the square of the cosine of each angle. For example, g^2(0)=cos^2(0)=1^2=1. By repeating this process for multiple angles, we can plot the points and sketch the graph.
c) To sketch the graph of f^2+g^2, we need to add the squared y-values of f(x) and g(x) at each angle. For example, f^2+g^2(0)=sin^2(0)+cos^2(0)=0^2+1^2=1. By repeating this process for multiple angles, we can plot the points and sketch the graph.
A farmer owns 30 acres of land. Of the 30 acres, only 65% can be farmed. How many acres are available for farming?
Final answer:
To calculate the available farming land, 65% of the total 30 acres is determined, resulting in 19.5 acres available for farming.
Explanation:
To find out how many acres are available for farming, we need to calculate 65% of the total 30 acres of land the farmer owns.
The calculation is as follows:
Convert the percentage to a decimal by dividing by 100: 65% / 100 = 0.65.Multiply the total acres by the decimal: 30 acres × 0.65 = 19.5 acres.Therefore, 19.5 acres of the farmer's land can be used for farming.
What is the simplified form of the quantity y−squared minus y minus 12 over the quantity y−squared plus 8y plus 15?
PLEASE EXTRA POINTS
PLEASE HELP!! Find the measure of angle 2. Image attached
opposite angles need to equal 180
so angle 2 = 180-111 = 69 degrees
Is 202.98% greater than 1 or is 67.14% greater than 1?
Answer:
202.98% > 167.14% < 1Step-by-step explanation:
100% = 1
202.98% is more than 100%, so is more than 1.
67.14% is less than 100%, so is less than 1.
Grace and Jamal each bought notebooks for school. Grace bought 3 notebooks for $3.90 while Jamal bought 2 notebooks for $2.20. What was the unit price of each student's notebooks?
The lengths of the sides of a triangle are in the extended ratio 1:2:5. The perimeter of the triangle is 32 ft. The length of the longest side is?
Jorani flips two standard American quarters. How many ways can she get at least one head?
find the sum of the measures of the interior angles of a convex 20-gon
Write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1)
Identify the coefficient of 2xy3
(Solve for x) -8 = -7 + x
-8 + -7 +x
add 7 to both sides
-1=x
so x = -1
18 thousands times 10=
Answer:
180,000.
Step-by-step explanation:
Given : 18 thousands times 10.
To find : Solve .
Solution : We have given
18 thousands times 10.
According to question :
18 thousand = 18000.
10 Times of 18 thousand .
18000 *10 .
180,000.
Number would be 180,000
Therefore, 180,000.
Use the arc length formula and the given information to find r. Show your work for full credit. s = 8.1 ft θ = (3.14/3)rad r = ?
Answer:
The length of the radius is 7.74 ft.
Step-by-step explanation:
It is given that the length of arc is s=8.1 and central angle of arc is [tex]\theta=\frac{3.14}{3}[/tex] in radian.
The formula for arc length is
[tex]s=r\theta[/tex]
Where, s is length of arc, θ is central angle of arc in radian and r is the radius of the circle.
Substitute s=8.1 and [tex]\theta=\frac{3.14}{3}[/tex] in the above formula.
[tex]8.1=r\times \frac{3.14}{3}[/tex]
[tex]8.1=r\times 1.0467[/tex]
Divide both sides by 1.0467.
[tex]\frac{8.1}{1.0467}=r[/tex]
[tex]7.73860705073=r[/tex]
[tex]r\approx 7.74[/tex]
Therefore the value of r is 7.74 ft.
The sum of three consecutive odd integers is forty five written as an algebraic equation would be:
x + (x+1) + (x+3) = 45
True or False
False,
the equation should be
x+ (x+2) +(x+4) = 45
Oq is a diagonal of quadrilateral nopq. if noq=pqo, no = 5x + 12, and pq = 7x – 8, find the length of no for which nopq is a parallelogram.
a. 10
b. 24
c. 47
d. 62
Since it is a parallelogram, NO = PQ
5 x + 12 = 7 x - 8
12 + 8 = 7 x - 5 x
20 = 2 x
x = 20 : 2
x = 10
NO = 5 * 10 + 12 = 50 + 12 = 62
Answer: 62
Hope this helps, have a BLESSED and wonderful day, as well as a safe one! Also, have a merry Christmas! :-)
-Cutiepatutie
Angelo family drove 254.6 miles their car used 19 gallons of gasoline describe the cars gas mileage
The Angelo family's car has a gas mileage of approximately 13.4 miles per gallon, calculated by dividing the total miles driven (254.6 miles) by the gasoline used (19 gallons).
Explanation:A car's gas mileage is calculated by dividing the total number of miles driven by the amount of gasoline used. In this case, the Angelo family drove 254.6 miles and used 19 gallons of gasoline. So, to figure out their car's gas mileage, you would divide 254.6 miles by 19 gallons.
254.6 miles ÷ 19 gallons = 13.4 miles per gallon
Therefore, the gas mileage of the Angelo family's car is approximately 13.4 miles per gallon.
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Use the student's t distribution to find tc for a 0.95 confidence level when the sample is 29. (round your answer to three decimal places.)
Using a t distribution table you can easily find the t critical value in a very easy way just look for the confidence level which is 95% or the 5% significance level and look for the degrees of freedom which is 28 (just to remind you degrees of freedom is always -1, so if you have 29 – 1 you will get 28 and it is the degrees of freedom), then the t distribution should give you 2.048 for your t critical value. When you use the significance level here you need to subtract the 100% by your confidence level of 95% you will get the 5% then you should divide it to 2, you will get the .025 if it only a two-tailed test you will use the significance level.
Which positive integers less than 12 are relatively prime to 12?
Final answer:
To find the positive integers less than 12 that are relatively prime to 12, we need to find the positive integers that do not share any common factors with 12 other than 1. The positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
Explanation:
Two positive integers are relatively prime if their greatest common divisor (GCD) is 1. To find the positive integers less than 12 that are relatively prime to 12, we need to find the positive integers that do not share any common factors with 12 other than 1.
The prime factors of 12 are 2 and 3. Therefore, any positive integer less than 12 that is not divisible by 2 or 3 will be relatively prime to 12.
Therefore, the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
Suppose the length of a rectangle is three time is three time the width. if we let x represent the width of the rectangle, what expression do we us to represent the length?