What is the width of a rectangular solid that has a volume of 375, a length
of 5 and a height of 5?
Answer:
We know the volume is 375, and 5 x 5 is 25. In this case, 375/25 = 15. If you don't believe me, try it yourself
Step-by-step explanation:
Yo can somebody help??
1/4
I hope this helped! please mark brainliest and vote 5 stars >:)
it is 1/4 because the patten is minus 1
What is nth degree polynomial?
A polynomial of the form ax^n + bx^(n-1) + cx^(n-2) + ... + z is called an nth-degree polynomial, where n is a positive integer. The highest exponent in the polynomial is n.
The term "nth-degree polynomial" refers to the highest exponent in the polynomial. In other words, a polynomial is an nth-degree polynomial if the highest exponent in the polynomial is n.
For example, the polynomial x^2 + 3x + 5 is a 2nd-degree polynomial because the highest exponent is 2. Similarly, the polynomial 3x^4 + 2x^3 - 5x^2 - 6x + 9 is a 4th-degree polynomial because the highest exponent is 4.
The degree of a polynomial can be helpful in determining the number of roots that the polynomial has. For example, a 2nd-degree polynomial will have at most 2 roots, while a 4th-degree polynomial can have up to 4 roots.
For more questions like Polynomial click the link below:
https://brainly.com/question/29397718
#SPJ4
What is 16/29 as a decimal rounded to 3 decimal places?
Answer: 0.552.
Step-by-step explanation: 16/29 is 0.55172413793. If you round 0.55172413793 to the first three decimals place, it is 0.552.
Ryan and Carter are running backs for their school football team. In the last game, Ryan played in 1/5 of the game and Carter played in 5/9 of the game if the game was 60 minutes long how many more minutes did Carter play the Ryan?
Answer:
The answer is 21 1/3
Step-by-step explanation:
First you have to take 5/9 and subtract it by 1/5 and you will get 16/45. Then you multiply 60 times 16/45 and get 21 1/3
Carter played 21 1/3 minutes more than Ryan.
Step-by-step explanation:
First you find your total duration
Total duration of the game played =
60 minutes
Second find the number(s)
Part of the game played by Ryan =
1/5 of the game
Third first number x total duration
Duration of game played by Ryan =
1/5 x 60 = 12 minutes
Fourth find the second number(s)
Part of the game played by Carter
5/9
Fifth second number x total duration
Duration of game played by Carter =
5/9 x 60 = 100/3 = 33 1/3
Sixth do mathematical operations
Difference between their duration = or 21.33 minutes
33 1/3 - 12 = 21 1/3
Seventh your answer
the answer is 21 1/3
Eighth review your work
*lazy*
Ninth answer the question
Carter played 21 1/3 minutes than Ryan
What is the slope-intercept equation of the line containing the points (-5, 22) and (4, 49)? A_ y = 3x − 37 B y = 3x +37 C y = -3x - 37 D y = -3x + 37
Answer:
y = 3x + 37
Step-by-step explanation:
Let's look for an equation of the form y=mx+b, whre m is the slope and b is the y-intercept (the value of y when x = 0). The slope, m, can be calculated from the two given points: (-5,22) and (4,49).
Slope is defined as the Rise/Run of the line. That is, how much the line rises (or falls) per unit change in the run, or x value. Take the two points and calculate the Rise and Run:
From (-5,22) to (4,49)
Rise is (49 - 22) or 27 [The final value minus the initial value of y].
Run is (4 - (-5)) = 9 [The final value miuns the initial value of y].
Slope is Rise/Run or 27/9 = 3; m = 3
So we can write y = 3x +b
We need to find a value of b that forces the line through the two points. Easy: Just enter one of the points in the equation we have thus far, and solve for b:
y = 3x +b
22 = 3(-5) +b for (-5,22)
22 = -15 + b
b = 37
The equation becomes y = 3x + 37.
See the attached graph.
Suppose the following triangle is isosceles. Find the value of x.
Answer:
x = 62
Step-by-step explanation:
Because of the given congruent sides, the base angles both measure x.
x + x + 56 = 180
2x = 124
x = 62
if the triangle is an isosceles triangle then x is equal to the other angle that is unknown. So
180-56=124. Since there are still 2 angles left you divide 124/2=62
x=62
pls help will give brainliest when i can
a tank is shaped like an upside-down square pyramid, with a base with sides that are 4 meters in length and a height of 12 meters. if water is being pumped into the pyramid at a rate of 23m3sec, at what rate is the height of the water increasing when the water is 2 meters deep? (the volume of a pyramid with height h and base area b is given by v
If a tank is shaped like an upside down square-pyramid, then the rate at which the height of water is increasing when the water is 2 m deep is 51.75 m/sec.
The tank is upside down square-pyramid, with sides as 4 meter,
Let the height of water at any time "t" be = "h",
The height of the tank is = 12 meter,
Let, the side of the base of pyramid shaped water at any time "t" be = "b",
So, b = (1/3)h ...because height of pyramid is 12 and each side is of 4, the ratio is 1/3,
The volume of water at nay time "t" is (V) = (1/3)b²h,
⇒ V = (1/3)(1/3h)²h,
⇒ V = h³/27,
Now, dv/dt = (d/dt)(h³/27),
On simplifying further,
we get,
⇒ dv/dt = (h²/9)(dh/dt),
⇒ dh/dt = (9/h²)(dv/dt),
We know that, when the water is 2 meter deep, and if water is pumped out at rate of 23 m³/sec, it means that h = 2, and dv/dt = 23,
So, dh/dt = (9/2²)(23) = 51.75 m/sec.
Therefore, the rate of change of height is 51.75 m/sec.
Learn more about Rate Of Change here
https://brainly.com/question/22031016
#SPJ4
The mean time required to repair breakdowns of a certain copying machine is 93 minutes. The company which manufactures the machines claims that breakdowns of its newer model are easier to fix. To test this claim, a sample of 18 breakdowns of the new model were observed, resulting in a mean repair time of 86.8 minutes with a standard deviation of 14.6 minutes. Using a significance level of a = 0.10, determine if the new copy machines are faster to repair. State clearly what your null and alternative hypotheses are, show your work, and state your conclusion.
A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.
To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:
Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.
Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.
Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:
t = (sample mean - population mean) / (sample standard deviation / √(sample size))
Given:
Population mean (μ) = 93 minutes
Sample mean (\(\bar x\)) = 86.8 minutes
Sample standard deviation (s) = 14.6 minutes
Sample size (n) = 18
Significance level (α) = 0.10
Calculating the test statistic:
t = (86.8 - 93) / (14.6 / sqrt(18))
t = -6.2 / (14.6 / 4.24264)
t ≈ -2.677
The degrees of freedom for this test is n - 1 = 18 - 1 = 17.
Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.
Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.
To know more about significance level:
https://brainly.com/question/4599596
#SPJ4
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.
1. What is P(AAssume that we have two
events, A and&nbB)?
2. What is P(A | B)?
We are given that P(A) = 0.30 and P(B) = 0.40, which means the probability of A given B (P(A | B)) must also be 0 since P(A ∩ B) = 0. Therefore, P(A ∩ B) = 0 and P(A | B) = 0.
1. P(A ∩ B) = 0 since the events are mutually exclusive.
2. P(A | B) = 0 since P(A ∩ B) = 0.
The two events are mutually exclusive, which means that they cannot occur at the same time. This implies that the probability of both A and B occurring together, P(A ∩ B), must be 0. We are given that P(A) = 0.30 and P(B) = 0.40, which means the probability of A given B (P(A | B)) must also be 0 since P(A ∩ B) = 0. Therefore, P(A ∩ B) = 0 and P(A | B) = 0.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
a) Al multiplicar un número por -8 se obtiene -152. ¿Qué división permite encontrar el
número que falta? ¿Cuál es ese número?
Answer:
19
Step-by-step explanation:
-152 ÷ -8 = 19
a negative and another negative, equals a positive.
What would you measure a loaf of bread with kilograms or grams
Answer:
Grams
Step-by-step explanation:
Grams are for medium sized objects and a loaf of bread is probably under a kilogram. Using grams gives you the clearest and easiest measurement.
nele is raising a baby squirrel. she weighs the squirrel each day and makes a note of the weight. after one month, she decides that she wants to create a display to show the squirrel's weights each day over the last month. which type of graph best represents the data?
Each day's weight can then be plotted as a point on the graph, and a line can be drawn connecting the points to show the trend in the squirrel's weight over time.
What is Graph ?
Graph can be defined as visual representation of data using given ordered pairs.
For tracking the weight of a baby squirrel over a month, a line graph would be the best option.
A line graph is used to display data that changes continuously over time, making it ideal for showing the daily weight of the squirrel over the course of a month.
The horizontal axis can represent the time (in days), and the vertical axis can represent the weight of the squirrel.
Therefore, Each day's weight can then be plotted as a point on the graph, and a line can be drawn connecting the points to show the trend in the squirrel's weight over time.
To learn more about Graph from given link.
https://brainly.com/question/17267403
#SPJ1
if factoring (15x -5), and 5 factored from both terms, what remains in the second term, and why ?
Given:
(15x - 5)
To factor a number from another number means to divide both number.
If 5 is factored from both terms, we have:
15x ÷ 5 = 3x remainder 0
5 ÷ 5 = 1 remainder 0
Therefore, we have:
5(3x - 1)
Thus, the number that remains in the second term is .
This is because when 5 divides 5, the remainder is zero.
5 ÷ 5 = 1 remainder 0
ANSWER:
After factoring we have: 5(3x - 1)
The remainder in the second term is 0
Solve equation
0=5x+3
Answer:
the answer is -3/5
Step-by-step explanation:
x=-0.6
Answer:
0 =5x+3
-3 =5x
-3/5=x
x=-3/5
Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation r = 2/5 to describe the relationship.
In the given equation r = 2/5 t "r" is the dependent variable.
Dependent variables:In mathematics, a variable is a symbol that represents a quantity that can take on different values. In many cases, variables can be divided into two types: dependent variables and independent variables.
An independent variable is a variable that can be changed freely, and its value is not dependent on any other variable in the equation.
A dependent variable is a variable whose value depends on the value of one or more other variables in the equation
Here we have
Lin notices that the number of cups of red paint is always 2/5 of the total number of cups.
She writes the equation r = 2/5 t to describe the relationship.
In the equation, r = 2/5 t, "t" represents the total number of cups, while "r" represents the number of cups of red paint.
Here "t" is the independent variable because it represents the total number of cups, which can be changed arbitrarily.
The value of "r" depends on the value of "t" because the number of cups of red paint is always 2/5 of the total number of cups.
Therefore,
In the given equation r = 2/5 t "r" is the dependent variable.
Learn more about Variables at
https://brainly.com/question/1479694
#SPJ1
Complete Question:
Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation r = 2/5 t to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.
f(x) = 8x
g(x) = 12x + 3
Find (f g)(x)
f(x)= 14
g(x)= 3 - 12x
find f(x) • g(x)
please, it’s for tomorrow and i need whit the process
a) for given functions f(x) = 8x and g(x) = 12x + 3,
(f g)(x) = 96x² + 24x
b) for functions f(x)= 14 and g(x)= 3 - 12x,
f(x) • g(x) = 42 - 168x
In this question, we have been given two functions.
We need to find the given function.
a) f(x) = 8x and g(x) = 12x + 3
To find (f g)(x)
We know that, the product of functions f(x) and g(x) is:
(f g)(x) = f(x) . g(x)
(f g)(x) = (8x) (12x + 3)
(f g)(x) = 96x² + 24x
So, for given functions f(x) = 8x and g(x) = 12x + 3,
(f g)(x) = 96x² + 24x
b) f(x)= 14 and g(x)= 3 - 12x
To find f(x) • g(x)
f(x) • g(x) = (14) . (3 - 12x)
f(x) • g(x) = 42 - 168x
So, for functions f(x)= 14 and g(x)= 3 - 12x,
f(x) • g(x) = 42 - 168x
Therefore, a) for given functions f(x) = 8x and g(x) = 12x + 3,
(f g)(x) = 96x² + 24x
b) for functions f(x)= 14 and g(x)= 3 - 12x,
f(x) • g(x) = 42 - 168x
Learn more about the function here:
https://brainly.com/question/28193995
#SPJ1
21)
22)
Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 12 adult smartphone users are randomly selected, find the probability that fewer than 5 of them
The probability that fewer than 5 of them use the smartphone in meetings or classes is given as follows:
P(X < 5) = 0.2802 = 28.02%.
How to obtain the probability with the binomial distribution?The mass probability formula is defined by the equation presented as follows:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters, along with their meaning, are presented as follows:
n is the fixed number of independent trials.p is the constant probability of a success on a single independent trial of the experiment.The parameter values for this problem are given as follows:
p = 0.46, n = 12.
The probability that less than 5 of them use the phone is given as follows:
P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).
Using a calculator with the parameters above, the probability is:
P(X < 5) = 0.2802 = 28.02%.
More can be learned about the binomial distribution at https://brainly.com/question/24756209
#SPJ4
State the assumption you would make to start an indirect proof of each statement.
1. BD bisects ∠ABC.
2. RT = TS
Answer:
Step-by-step explanation:
1. Assume BD does not bisect ∠ABC
2. Assume RT ≠ TS
While you are driving along westward at 55 mi./hr you doze for 1.5 seconds. How far have you traveled during your snooze?
Answer: 0.02291666
Step-by-step explanation:
divide 55 by 60 (minutes)
then by 60 again (seconds)
multiply by 1.5
there you go
The person travelled for 0.0229167 miles.
To calculate the distance, we have to multiply the speed by the time taken.
Distance = Speed × Time
Speed = 55 miles per hour.
Time taken = 1.5 seconds = 0.0004167 hours
Note that 3600 seconds = 1 hour
Therefore, 1.5 seconds = 0.0004167 hours
Then, the distance will be:
= Speed × Time
= 55 × 0.0004167
= 0.0229167 miles
The person travelled for 0.0229167 miles.
Read related link on:
https://brainly.com/question/4729105
diabetes incidence rates in the united states have skyrocketed in kids and teens over the last 15 years. type i or insulin dependent diabetes now has an incidence rate of 21.7 cases per 100,000 while the incidence rate for type ii (adult-onset diabetes), which is associated with obesity, is now 12.5 per 100,000. in order to use available tables, let us assume that the incidence rate for type ii diabetes is 12 per 100,000. a. can the distribuon of the number of cases of type ii diabetes in the united states be approximated by a poisson distribuon? if so, what is the mean? b. what is the probability that the number of cases of type ii in the united states is less than or equal to 10 per 100,000? c. what is the probability that the number of cases of type ii in the united states is greater than 10 but less than 15 per 100,000? d. would you expect to observe 19 or more cases of type ii diabetes per 100,000 in the united states? why or why not?
a. Yes, the distribution of the number of cases of type II diabetes in the United States can be approximated by a Poisson distribution since it is a rare event and the number of cases is independent of each other.
b. The probability is calculated as P(X ≤ 10) = e^(-12) * 12^10 / 10!, which is approximately 0.112.
c. we can subtract the probability of X ≤ 10 from the probability of X ≤ 15. The probability is calculated as P(10 < X < 15) = P(X ≤ 15) - P(X ≤ 10) = e^(-12) * (12^11 / 11! + 12^12 / 12! + 12^13 / 13! + 12^14 / 14!) ≈ 0.215.
d. The probability of observing 19 or more cases can be calculated using the Poisson distribution formula, P(X ≥ 19) = 1 - P(X ≤ 18) = 1 - e^(-12) * (12^0 / 0! + 12^1 / 1! + ... + 12^18 / 18!) ≈ 0.0002, which is a very small probability.
a. The distribution of the number of cases of type II diabetes in the United States can be approximated by a Poisson distribution if the cases are rare, random, and independent events. Given the incidence rate of 12 per 100,000, it can be considered a rare event, and if we assume the cases are independent and random, we can approximate the distribution using a Poisson distribution. The mean (λ) is equal to the incidence rate, which is 12 cases per 100,000.
b. To find the probability that the number of cases of type II diabetes is less than or equal to 10 per 100,000, we need to calculate the cumulative probability for the Poisson distribution with λ = 12 and k = 10. This can be found using the formula:
P(X ≤ 10) = Σ [e^(-λ) * (λ^k) / k!] for k = 0 to 10
c. To find the probability that the number of cases of type II diabetes is greater than 10 but less than 15 per 100,000, we need to calculate the probability for the Poisson distribution with λ = 12 and k = 11, 12, 13, and 14. This can be found using the formula:
P(10 < X < 15) = Σ [e^(-λ) * (λ^k) / k!] for k = 11 to 14
d. To determine if we would expect to observe 19 or more cases of type II diabetes per 100,000 in the United States, we can find the probability of observing 19 or more cases using the Poisson distribution with λ = 12. This can be found using the formula:
P(X ≥ 19) = 1 - P(X ≤ 18) = 1 - Σ [e^(-λ) * (λ^k) / k!] for k = 0 to 18
If the probability is low (typically less than 0.05), then it would be unlikely to observe 19 or more cases of type II diabetes per 100,000 in the United States.
Learn more about Poisson distribution:
brainly.com/question/17280826
SPJ11
At the beginning of spring, Anand planted a small sunflower in his
backyard. The sunflower's height in inches, h, after w weeks, is given by the equation h = 3.75w+18. What
could the number 3.75 represent in the equation?
Hint: this equation is in slope-intercept form: y=mx+b
The rate of change in the sunflower's height
The sunflower's height after one week
The sunflower's height when it is planted
Answer:
3.75 represents how much the flower grows every week.
Step-by-step explanation:
Find the approximate unknown angle o using inverse trigonometric ratios (sin-1,cos-1, or tan-1)
Answer:
\(\displaystyle 0,1922986515...\pi = \theta \\ 35° \approx \theta\)
Step-by-step explanation:
\(\displaystyle sec^{-1}\:1\frac{177}{823} = \theta; 0,1922986515...\pi\:[or\:34,613757274...°] \\ \\ \boxed{0,1922986515...\pi = \theta\:[35° \approx \theta]}\)
OR
\(\displaystyle cos^{-1}\:\frac{823}{1000} = \theta; 0,1922986515...\pi\:[or\:34,613757274...°] \\ \\ \boxed{0,1922986515...\pi = \theta\:[35° \approx \theta]}\)
I am joyous to assist you at any time.
A triangle has two angles that each measure 50° What is the measure of the third angle?
1.
50°
2.
80°
3
100°
4.
260°
Answer:
80 or 2
Step-by-step explanation:
triangles = 180degrees
50+50+x=180
x=80
Hope this helps plz hit the crown :D
An 8 feet 3 inches long slide makes an angle
of 34° with the ground. How tall is the ladder
leading to the top of the slide (in feet)?
Answer:
Step-by-step explanation:
To solve the problem, we can use trigonometry and set up a right triangle with the ladder being the hypotenuse, the height being the opposite side, and the slide being the adjacent side. Then, we can use the tangent ratio to find the height of the ladder.
First, we need to convert the length of the slide from feet and inches to just feet. There are 12 inches in a foot, so 8 feet 3 inches can be written as:
8 + 3/12 feet = 8.25 feet
Next, we can use the tangent ratio:
tan(34°) = opposite/adjacent
where the opposite side is the height of the ladder, and the adjacent side is the length of the slide.
Plugging in the values we get:
tan(34°) = height/8.25
Solving for height, we get:
height = 8.25 x tan(34°)
Using a calculator, we can find that:
height ≈ 5.21 feet
Therefore, the height of the ladder leading to the top of the slide is approximately 5.21 feet.
Pls help, 45 points!!!
Answer:
C
Step-by-step explanation:
Answer:
Red is the correct answer
Step-by-step explanation:
what makes 3+7+2= +2true?
The equation 3+7+2=+2 is actually not true, but false.
Is the 3+7+2= +2true?The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.
In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.
Learn more about equation at https://brainly.com/question/14107099
#SPJ1
BRAINLIEST IF YOUR CORRECT!! :D
Answer:
2m + 2f
Step-by-step explanation:
Babies = 2 ×(m+f)
= 2(m+f)
= 2m + 2f
Per Capita Birth and Death Rates In growth models, scientists use proportional metrics when evaluating births (Bt) or deaths (Dt) in relation to population size (N+) at time t. This relationship results in per capita birth rates (bt) and per capita death rates (dt). To calculate, divide the absolute number of births or deaths, respectively, by the population size at time t. Population is often taken at the time interval midpoint.
Per capita birth rate (bt): probability of offspring number for an individual at time bt = Bt/Nt
Per capita death rate (dt): probability of individual's of death at time dt = Dt/Nt
Using the above equations, provide me with the formula for calculating Bt and Dt if you are given only per capita rates (bt or dt) and population size (Nt) at time t. (Hint: Use algebra!)
We have the formulas for Bt and Dt using only the per capita rates (bt or dt) and population size (Nt) at time t:
Bt = bt * Nt, Dt = dt * Nt. These formulas allow calculate absolute number of births (Bt) and deaths (Dt) using the given per capita rates and population size.
To find the formulas for Bt and Dt using the given per capita rates (bt or dt) and population size (Nt) at time t, we can rearrange the provided equations for per capita birth rate (bt) and per capita death rate (dt). Here are the steps:
The per capita birth rate (bt) is given by the equation bt = Bt/Nt. To find Bt, we need to isolate it by multiplying both sides of the equation by Nt. This gives us:
Bt = bt * Nt
Similarly, the per capita death rate (dt) is given by the equation dt = Dt/Nt. To find Dt, we need to isolate it by multiplying both sides of the equation by Nt. This gives us:
Dt = dt * Nt
Now, we have the formulas for Bt and Dt using only the per capita rates (bt or dt) and population size (Nt) at time t:
- Bt = bt * Nt
- Dt = dt * Nt
These formulas allow you to calculate the absolute number of births (Bt) and deaths (Dt) using the given per capita rates and population size at a specific time.
for more questions on per capita rates
https://brainly.com/question/23470516
#SPJ11