The radius of the cylinder, in units is 2x.
The formula V=πr2(h) can be used to determine a cylinder's volume. Finding the area of the circular base shape and multiplying it by the height is all that is required to calculate the volume of a cylinder.
volume is the amount of space available in an object. as volume of a cylinder is cubic units and its height is x units
\(4\pi x^{3} =\pi r^{2} h\\height= x \\4\pi x^{3}=\pi x^{2} x\\\)
cancelling values on both sides
\(4x^{2} =r^{2}\\ r=\sqrt{4x^{2} } \\r=2x\)
Therefore, radius of the cylinder is 2x.
Learn more about volume of a cylinder at:
brainly.com/question/16788902
#SPJ4
Find the missing length of the triangle.
C = 30
B = 24
A = ?
Answer:
A = 18
Step-by-step explanation:
A = √30^2-24^2
A = 18
A cone has a circular base of radius 13.5 m. Given that the total surface area of the cone is 1240 m^2, find it's volume.
I'meaving brainly, just answer the question and take pointsss...
Answer:
1543.59
Step-by-step explanation:
See image below for equation!
PLZZZ give me brainliest!
I need help I don’t get it and it’s hard can someone help me
Answer:
choice 4
Step-by-step explanation:
It's not that hard if you understand once you get past the fancy words
degree= largest exponent
so if something has a degree of 3 we know that the highest exponent is 3
Coeficcent= thing multipllying x
in this case it's 4 which means the number we are looking for is 4x³
Onlyanswer choice 4 meets these criteria
Answer:
The answer is (4) \(2x+x^{2} +4x^{3}\).
Step-by-step explanation:
A leading coefficient is the coefficient of the term of highest degree in a given polynomial.
A degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).
The answer can be found when the polynomial is rearranged into standard form, and the standard form of the polynomial will look like \(4x^{3}+x^{2} +2x\). A polynomial is in standard form when the term with the highest degree is placed first, followed by the term which has the next highest degree, and so on.
Once the polynomial is in standard form, the leading coefficient is 4 and has a degree of 3. Thus, causing (4) \(2x+x^{2} +4x^{3}\) to be the answer.
There are 14 dogs at the dog park on a busy Saturday. 2 of them are springer spaniels.
What is the probability that a randomly selected dog is a springer spaniel?
Write your answer as a fraction or whole number.
Answer:1/7
Step-by-step explanation: You take the amount that are springer spaniels and you put them with the whole of the dogs in the park 14 so you would have 2/14. You can reduce this fraction to 1/7 by dividing both the top and bottom of the fraction by 2.
Is 2.738 a rational or irrational number
Answer: It is a rational number.
Hence, \(2.738\) a rational number.
What is the rationa number?
A rational number is a type of real number, which is in the form of \(\frac{p}{q}\) where \(q\) is not equal to zero. Any fraction with non-zero denominators is a rational number.
Here \(2.73\) acn be written as
\(2.73=\frac{2.73}{1}\)
Now, we multiply numerator and denominator by \(100\).
So, it would be
\(\frac{2.73(100)}{1(100)}\\\\=\frac{273}{100}\)
So, the fraction is written as \(2.73\).
Hence, \(2.738\) a rational number.
To know more about the rational number
https://brainly.com/question/16591101
#SPJ2
A tourist ignores the warning signs and leaves food in his car while he goes for a hike. A mama bear and her cub open the car door in six seconds. How long would it take each bear to open the car door alone if the cub needs 9 more seconds than the mama bear?
Answer:
The mama bear can do it in 9
seconds. The cub can do it in 18
seconds.
Step-by-step explanation:
1/x+9+1/x=1/6
Using the together rate, it is found that it would take each bear 9 hours to open the car door alone.
What is the together rate?The together rate is the sum of each separate rate.
In this problem, the rates are as follows:
Given
A tourist ignores the warning signs and leaves food in his car while he goes for a hike.
A mama bear and her cub open the car door in six seconds.
Together with rate: 1/6.
Mama's rate: 1/x.
Cub's rate: 1/(x + 9).
Therefore,
\(\rm \dfrac{1}{x}+\dfrac{1}{x+9}=\dfrac{1}{6}\\\\\dfrac{x+9+x}{x(x+9)}=\dfrac{1}{6}\\\\\dfrac{2x+9}{x(x+9)}=\dfrac{1}{6}\\\\ 6(2x+9)=x(x+9)\\\\12x+54=x^2+9x\\\\x^2+9x-12x-54=0\\\\x^2-3x-54=0\\\\ x^2+6x-9x-54=0\\\\ x(x+6)-9(x+6)\\\\(x-9)(x+6)=0\\\\x-9=0 \ x=9\\\\x+6=0 \ x=-6\)
The value of time can not be negative.
Hence, It would take each bear 9 hours to open the car door alone.
To learn more about the together rate, you can take a look at brainly.com/question/25159431
write an expression which maximizes the sugar your could gain from street so that you can satisfy your sweet tooth. hint: define m[i]m[i] as the maximum sugar you can consume so far on the i^{th}i th vendor.
To maximize the sugar you can gain from street vendors and satisfy your sweet tooth, you can use the following expression:
m[i] = max(m[i-1] + s[i], s[i])
Here, m[i] represents the maximum sugar you can consume so far on the i-th vendor, and s[i] denotes the sugar content of the i-th vendor's offering.
The expression utilizes dynamic programming to calculate the maximum sugar consumption at each step. The variable m[i] stores the maximum sugar you can have up to the i-th vendor.
The expression considers two options: either including the sugar content of the current vendor (s[i]) or starting a new consumption from the current vendor.
To calculate m[i], we compare the sum of the maximum sugar consumption until the previous vendor (m[i-1]) and the sugar content of the current vendor (s[i]) with just the sugar content of the current vendor (s[i]). Taking the maximum of these two options ensures that m[i] stores the highest sugar consumption achieved so far.
By iterating through all the vendors and applying this expression, you can determine the maximum sugar you can gain from the street vendors and satisfy your sweet tooth.
To know more about dynamic programming, refer here:
https://brainly.com/question/30885026#
#SPJ11
If sin 32°=cos x°, what does x equal?
Answer:
cos(58)
Step-by-step explanation:
i just randomly pressed numbers until it matched
Solve tan 9°
=x/2.6
Give your answer to 2 d.p.
Answer:
x= 0.41
Step-by-step explanation:
tan 9° =\(\frac{x}{2.6}\)
x= 2.6 tan9° (cross multiply)
x= 0.41 (solve trignomatic function)
Which expression has a value of 18?
5 × (40 − 25) − 50
6 × (32 − 12) − (100 ÷ 50)
(6 + 18 + 6) ÷ 15 + 10
7 + (16 − 7) ÷ 3 + 8 (PLS ANSWER QUICK)
The answer choice which correctly represents a value of 18 as required is; 7 + (16 − 7) ÷ 3 + 8.
Which of the expressions is evaluated to 18?As evident in the task content; each of the expressions can be evaluated as follows;
5 × (40 − 25) − 50 = 75 - 50 = 25.6 × (32 − 12) − (100 ÷ 50) = 120 - 2 = 118.(6 + 18 + 6) ÷ 15 + 10 = 2 + 10 = 12.7 + (16 − 7) ÷ 3 + 8 = 7 + 3 + 8 = 18.Ultimately, the expression which has a value of 18 among the answer choices is; 7 + (16 − 7) ÷ 3 + 8.
Read more on expression evaluation;
https://brainly.com/question/30058937
#SPJ1
In both the Vendor Compliance at Geoffrey Ryans (A) and
Operational Execution at Arrows Electronics there are problems and
challenges. Integrate the problems and challenges from both
cases.
In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.
One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.
Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.
Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.
To learn more about vendor management click here :
brainly.com/question/30714854
#SPJ11
If LM = 9, MN = 6x, and LN = 9x, what is LN?
Given
LM = 9, MN = 6x, and LN = 9x
Find
LN
Explanation
as we see LN = LM + MN
so ,
\(\begin{gathered} 9+6x=9x \\ 9=9x-6x \\ 9=3x \\ x=3 \end{gathered}\)so , LN = 9x = 9 * 3 = 27
Final Answer
Therefore , the length of LN is 27
HELP ME FAST PLZ HELP ME!!!
Answer:
267000 is the answer
Step-by-step explanation:
which table correctly represents the situation mathematically?
Answer:
Option B is the correct answer for your question
The mean exam score for 49 male high school students is 239 and the population standard deviation is 47 The mean exam score for 53 female high school students is 21.1 and the population standard deviation is 4.3. At α=001, can you reject the claim that male and female high school students ha equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view. page 2 of the standard normal distribution table. A. Male high school students have lower exam scores than female students B. Male and temale high school students have different exam scores. C. Male and female high school students have equal exam scores D. Male high school students have greater exam scores than female students
Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.
To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:
SE = sqrt((s1^2 / n1) + (s2^2 / n2))
Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:
SE = sqrt((47^2 / 49) + (4.3^2 / 53))
Next, we calculate the t-statistic using the formula:
t = (x1 - x2) / SE
Where x1 and x2 are the sample means. Plugging in the values, we have:
t = (239 - 21.1) / SE
We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.
In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.
Therefore, the correct answer is:
B. Male and female high school students have different exam scores.
Learn more about hypothesis testing here: brainly.com/question/17099835
#SPJ11
I need help with all 4
For # 31 - 34, solve the equation for the unknown variable.
4. A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking you choose a tile. What is the probability of drawing a number? ( SHOW WORK PLS! I'LL GIVE BRAINLIEST QUESTION!!! ) ANSWER FAST!! tyyy
Answer:
4/6 because the bag holds six tiles total so 4 of the 6 are numbered so you would have 4/6 of a chance of picking a numbered tile.
Step-by-step explanation:
4/6 because the bag holds six tiles total so 4 of the 6 are numbered so you would have 4/6 of a chance of picking a numbered tile.
Answer:
4/6
Step-by-step explanation:
4/6 because the bag holds six tiles total so 4 of the 6 are numbered so you would have 4/6 of a chance of picking a numbered tile.
help me again please.
Answer:
\(m=\frac{8}{5}\)
Step-by-step explanation:
Jill has c comic books. Tonya has 4 more than twice Jill's comic books. What variable expressions represents the total number of comic books Jill & Tony have all together?
Answer:
3c + 4
Step-by-step explanation:
Forming an expression
Number of books with Jill = c
To find the number of books with Tonya, multiply 'c' by 2 and then add 4 to it.
Number of books with Tonya = 2*c + 4
= 2c + 4
Total books all together = c + 2c + 4 {Combine like terms}
= 3c + 4
20 POINTSSS!!!!!!!! HELP
Answer:
2x(-x+5)
Step-by-step explanation:
In other words, B, or the second option
Answer:
B: 2x(-x+5)
Step-by-step explanation:
hopes this helps please mark brainliest
Suppose X ∼ N (5, 9). Using the Standard Normal CDF chart from Blackboard, find the following probabilities:
(a) P(X ≤ 2)
(b) P(X < 3)
(c) P(X ≥ 3)
(d) P(X > 3).
(e) P(3 ≤ X ≤ 8).
Using the standard normal CDF chart, we can find P(-2/3 ≤ Z ≤ 1), which is approximately 0.6584.
To find the probabilities using the standard normal cumulative distribution function (CDF) chart, we need to standardize the values first.
Given X ~ N(5, 9), we can standardize a value x using the formula:
Z = (x - μ) / σ
where μ is the mean and σ is the standard deviation.
In this case, μ = 5 and σ = √9 = 3.
(a) P(X ≤ 2):
Standardizing 2, we get:
Z = (2 - 5) / 3 = -1
Using the standard normal CDF chart, we can find P(Z ≤ -1), which is approximately 0.1587.
(b) P(X < 3):
Standardizing 3, we get:
Z = (3 - 5) / 3 = -2/3
Using the standard normal CDF chart, we can find P(Z < -2/3), which is approximately 0.2525.
(c) P(X ≥ 3):
This is equivalent to 1 - P(X < 3). Using the result from part (b), we have:
P(X ≥ 3) = 1 - P(X < 3) = 1 - 0.2525 = 0.7475.
(d) P(X > 3):
This is equivalent to 1 - P(X ≤ 3). To find P(X ≤ 3), we can use the result from part (b):
P(X > 3) = 1 - P(X ≤ 3) = 1 - 0.2525 = 0.7475.
(e) P(3 ≤ X ≤ 8):
To find this probability, we need to standardize the values 3 and 8 separately.
For 3:
Z1 = (3 - 5) / 3 = -2/3
For 8:
Z2 = (8 - 5) / 3 = 1
Using the standard normal CDF chart, we can find P(-2/3 ≤ Z ≤ 1), which is approximately 0.6584.
Therefore:
P(3 ≤ X ≤ 8) ≈ 0.6584.
Please note that the values obtained from the standard normal CDF chart are approximations, and for more accurate results, it is recommended to use statistical software or calculators.
To know more about Probability related question visit:
https://brainly.com/question/31828911
#SPJ11
Will give brainliest if you answer the following question:
A deck of cards has 20 cards, 10 red cards numbered 1-10, and 10 blue cards labeled 1-10. Suppose we shuffle the deck and draw the top two cards, what is the probability that they have the same number?
The probability that the top two cards drawn from the shuffled deck have the same number is 1/19.
To find the probability that the top two cards drawn from the shuffled deck have the same number, we can calculate the favorable outcomes (same number) and divide it by the total number of possible outcomes.
Calculate the number of favorable outcomes.
Since there are 10 red cards numbered 1-10 and 10 blue cards labeled 1-10, the favorable outcomes occur when we draw two cards of the same number. We have 10 options to choose from (1 to 10), and for each option, we have 2 cards (red and blue).
Therefore, there are a total of 10 × 2 = 20 favorable outcomes.
Calculate the number of possible outcomes.
To determine the total number of possible outcomes, we consider that there are 20 cards in the deck. For the first card drawn, there are 20 options. After the first card is drawn, there are 19 cards remaining for the second draw. So, there are a total of 20 × 19 = 380 possible outcomes.
Calculate the probability.
The probability of drawing two cards with the same number is given by the ratio of the number of favorable outcomes to the number of possible outcomes:
Probability = Favorable outcomes / Possible outcomes
Probability = 20 / 380
Simplifying the fraction, we get:
Probability = 1 / 19
Therefore, the probability that the top two cards drawn from the shuffled deck have the same number is 1/19.
for such more question on probability
https://brainly.com/question/13604758
#SPJ11
TRUE / FALSE. when the block is in equilibrium, each spring is stretched an additional ∆x. then the block is set into oscillation with amplitude a; when it passes through its equilibrium point it has a speed v.
The statement is true.
When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.
When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.
The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.
To know more about equilibrium refer here:
https://brainly.com/question/14281439?#
#SPJ11
What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width
of 20in, and a length of 19in?
The volume of the rectangular prism is 4180in^3.
What is rectangular prism?"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".
For the given situation,
Length of the rectangular prism = 19 in
Width of the rectangular prism = 20 in
Height of the rectangular prism = 11 in
The formula for volume of the rectangular prism,
\(V=l\) × \(w\) × \(h\)
On substituting the values,
⇒\(V= 19\) × \(20\) × \(11\)
⇒\(V=4180\)
Thus the volume of the rectangular prism is \(4180 in^{3}\).
Learn more about rectangular prism here
https://brainly.com/question/21812790
#SPJ2
Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, r, in beats per minute, can be approximated by the formulas r = 143 minus 0.65 a for women r = 165 minus 0.75 a for men, where a represents the person’s age. if the desirable heart rate for a man is 135 beats per minute, how old is he? a. 22.5 years old b. 40 years old c. 45 years old d. 42.5 years old
Age will be 40 years old.
R, in beats per minute, can be approximated by the formulas, where a represents the person's age.
where R= 143 - 0.65a for women.... (1)
and R= 165 - 0.75a for men,..... (2)
So by implementing these two equation we get a = 40
If the sum of ages is X and Y, and the ratio of their ages is p:q, then the age of Y can be calculated using the formula shown below: Y's age = Y's ratio/Sum of ratios x sum of ages The age dependency ratio is the ratio of dependents (people under the age of 15 or over the age of 64) to the working-age population (people between the ages of 15 and 64). The proportion of dependents per 100 working-age population is shown in the data.
Learn more about Age here
https://brainly.com/question/26423521
#SPJ4
HELPPPPP Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
a = 8.6 in.
b = 13.9 in.
c = 16.5 in.
A = 29.4°, B = 57.4°, C = 93.2°
A = 33.4°, B = 55.4°, C = 91.2°
No triangle satisfies the given conditions.
A = 31.4°, B = 57.4°, C = 91.2°
The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that a = 8.6 in, b = 13.9 in. and c = 16.5 in. Using cosine rule:
c² = a² + b² - 2abcosC
16.5² = 8.6² + 13.9² - 2(8.6)(13.9) * cosC
C = 91.2°
Also:
a² = b² + c² - 2bccosA
8.6² = 16.5² + 13.9² - 2(16.5)(13.9) * cosA
A = 31.4°
A + B + C = 180° (angles in a triangle)
31.4 + B + 91.2 = 180
B = 57.4°
The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
polynomial function
Answer:
\(f(x) = (x+1)(x-2)(x+4)\)
\(= (x^{2} +x-2x-2)(x+4)\\\\= (x^{2} -x-2)(x+4)\\\\= x^{3}-x^{2}-2x+4x^{2} -4x-8\\\\= x^{3} +3x^{2} -6x-8\)
Please help me out people! Probability I guess!..........................................................................................................................................................there are 10 marbles. you get two out of the bag. how much percent of the marbles did you take out?
Answer:
20%
2 out of 10 marbles is 2/10.
Convert 2/10 to a percentage.
2/10 = 20%.
The answer is 20%. Hope it helps!
Answer:
20 percent
Step-by-step explanation:
I can't get the percentage sign . lol
You can infer causality from a correlational result, but only when the r value is greater than ?A. 0B. 5C. 1
You can infer causality from a correlational result, but only when the r value is greater than:
C. 1
Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.
However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.
In addition, there are other factors that need to be considered when assessing causality from a correlational result.
For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.
Learn more about causality:
brainly.com/question/9369134
#SPJ4
What is the solution to the inequality?
A. y > 32
B. y > 2
C. y < 2
D. y < 32
\(\textbf{Heya !}\)
✏\(\bigstar\textsf{Given:-}\)✏
An inequality \(\sf{-\cfrac{y}{4}+7 > -1}\)✏\(\bigstar\textsf{To\quad find:-}\)✏
y -- ?▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪
✏\(\bigstar\textsf{Solution\quad steps:-}\)✏
First, subtract both sides by 7:-
\(\sf{-\cfrac{y}{4} > -1-7}}\)
\(\sf{-\cfrac{y}{4} > -8}\)
Now multiply both sides by 4:-
\(\sf{-y > -8*4}\)
\(\sf{-y > -32}\)
last step:-
\(\sf{y < 32}\)
`hope it was helpful to u ~
\( \implies \: \sf{ - \dfrac{y}{4} \: + \: 7 \: > \: - 1} \\ \\ \implies \: \sf{ - \dfrac{y}{4} \: > \: - 7 \: - 1} \\ \\ \implies \: \sf{ - \dfrac{y}{4} \: > \: - 8} \\ \\ \implies \: \sf{ \cancel- \: \dfrac{y}{4} \: > \: \cancel- \: 8} \\ \\ \implies \: \sf{ \dfrac{y}{4} \: < \: 8} \\ \\
\implies \: \sf{ y \: < \: 8 \times 4} \\ \\ \implies \: \bf{ y \: < \: 32}\)