Answer:
-1
Step-by-step explanation:
-8(-1) + 2y = 8
8 + 2y = 8
2y = 0
4(-1) + 3y = -4
-4 + 3y = -4
3y = 0
The box plots show the weights, in pounds, of the dogs in two different animal shelters.One-half of the dogs in each shelter are between which weights?
One-half of the dogs in each shelter are between the weights represented by the first and third quartiles, which are approximately 20-55 pounds for the first shelter and 25-65 pounds for the second shelter, respectively.
A box plot is a visual representation of a set of data that shows the median, quartiles, and outliers of the data. The box represents the middle 50% of the data, with the bottom and top edges of the box representing the first and third quartiles, respectively. The line inside the box represents the median, or the middle value of the data set. The "whiskers" extend from the edges of the box to the minimum and maximum values of the data set, but outliers beyond the whiskers are represented as individual points.
Now, let's look at the two box plots showing the weights of dogs in two different animal shelters. One-half of the dogs in each shelter are between the first and third quartiles, which are represented by the edges of the box in each plot.
If we take the first box plot, we can see that the first quartile is approximately 20 pounds and the third quartile is approximately 55 pounds. Therefore, one-half of the dogs in this shelter weigh between 20 and 55 pounds.
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6=2/3p How should you show your work to isolate
the variable in the following equation?
Answer:
Look below.
Step-by-step explanation:
As 3/2 is the multiplicative inverse (reciprocal) of 2/3, multiply 3/2 to both sides.
6 = 2/3p Write the original equation.
6 · 3/2 = 2/3 · 3/2 · p Multiply the reciprocal of 2/3 (3/2) to both sides.
18/2 = p Simplify.
p = 9 Simplify.
Answer:
Your Answer is w =3
Step-by-step explanation:
Hope this helps
Find the radius of convergence, R, of the series. ∑n=1[infinity]5nn(x+3)n R=
The radius of convergence, R, of the series is \($R=\infty$.\)
Here's the solution for the given problem.
In this case, we have a power series of the form:
\($$\sum_{n=1}^{\infty}a_n(x-c)^n$$\)
In order to determine the radius of convergence of this series, we use the ratio test.
The ratio test states that if \($\lim_{n\rightarrow\infty}\frac{a_{n+1}}{a_n}=L$,\)
then the series converges if \($L<1$ and diverges if $L>1$. If $L=1$,\)the test is inconclusive.
Now, let's apply the ratio test to our series:\($\lim_{n\rightarrow\infty}\frac{a_{n+1}}{a_n}=\lim_{n\rightarrow\infty}\frac{5^{n+1}(x+3)^{n+1}}{(n+1)5^nn(x+3)^n}=\lim_{n\rightarrow\infty}\frac{5(x+3)}{n+1}=0$\)
Therefore, the series converges for all values of \($x$\)
Since the radius of convergence is the largest interval about \($c$\) for which the series converges, the radius of convergence is\($\infty$.\)
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how to
expand 1 ,567
Answer:
one thousand five hundred sixty seven
Step-by-step explanation:
Answer:
One thousand, Five Hundred, Sixty-Seven
1 Thousand, 5 Hundred, 67.
Step-by-step explanation:
what is the maximum of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
B
Help asap i will give brainliest
Answer:
A and B
Step-by-step explanation:
Answer:
The answer is A and B.
Step-by-step explanation:
Clearly point C is greater than point B because it is positive, and point A is greater than -20 because it is between -15 and -20.
Hope this helped! :D
Dima has twice as many books as Ramiro. If dima gives 12 books to Ramiro, they will have the same number of books.How many books do they have in total
Answer:
They have 36 books in total.
Step-by-step explanation:
Let d = The number of Dima's books
Let r = The number of Ramiro's books.
d = 2r
d - 12 = r Substitute 2r for d in the second equation and solve for r
2r - 12 = r Subtract 2r from both sides
2r - 2r - 12 = r - 2r
-12 = -r Multiply both sides by -1
12 = r
Ramiro has 12 books.
d = 2r substitute 12 for r and solve for d
d = 2(12)
d = 24
Dima has 24 books.
Together they have 36 books (12 + 24)
Helping in the name of Jesus.
Answer:36
Step-by-step explanation:
LINEARIZATION AND LAPLACE TRANSFORMS Question 1: Linearize the following differential equations dy +zy = dr a. d? dq = y2 + 2+ + = dt? dt b. dy dt ay +By? + y In y A, B, y: constants C. Q: constant dy
To linearize the given differential equations, we need to find the linear approximation of the nonlinear terms. In the first equation, the linearization involves finding the first derivative of y with respect to t, while in the second equation, we use logarithmic differentiation to linearize the nonlinear term. In both cases, the linearized equations help approximate the behavior of the original nonlinear equations.
a) To linearize the equation dy/dt + zy = r, we can write the linearized equation as d(y - y0)/dt + z(y - y0) = r - r0, where y0 and r0 are the values of y and r at a specific point. This linearization approximates the behavior of the original equation around the point (y0, r0). The linearization involves finding the first derivative of y with respect to t.
b) To linearize the equation dy/dt + ay + By^2 + yln(y) = Q, we can use logarithmic differentiation. Taking the natural logarithm of both sides of the equation, we get ln(dy/dt) + ln(y) + ln(a) + ln(B) + yln(y) = ln(Q). Then, we differentiate both sides with respect to t, resulting in 1/(y^2) * (dy/dt) + (1/y) * (dy/dt) + (1/y) * y + 0 + yln(y) * (dy/dt) = 0. This linearization allows us to approximate the behavior of the original nonlinear equation by neglecting higher-order terms.
In both cases, the linearized equations provide a simpler representation of the original equations, making it easier to analyze their behavior and approximate solutions.
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Kelsey received 9 birthday gifts from her friends. Three gifts were wrapped in yellow
paper, 3 gifts were wrapped in red paper, 2 gifts were wrapped in purple paper, and
1 gift was wrapped in orange paper. What is the probability that the first gift Kelsey
opened was wrapped in purple paper?
Answer: 2/9
Step-by-step explanation:
From the question, we are told that
Kelsey received 9 birthday gifts from her friends and that three of the gifts were wrapped in yellow
paper. Also, 3 gifts were wrapped in red paper, 2 gifts were wrapped in purple paper, while the remaining
1 gift was wrapped in orange paper.
The probability that the first gift will be in purple paper will be the number of gifts in purple paper divided by the total number of gifts. This will be:
= 2/9
30 boys and 56 girls as a ratio
Answer:
30:56!
Step-by-step explanation:
since 30 boys is mentions first you can start it as that way
it helps me better and is way more efficient
Christopher has a loyalty card good for a 20% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $37.35? Round to the nearest cent.
Answer:
$29.88
Step-by-step explanation:
We first would need to figure out what 20% of $37.35 is.
0.2 (or 0.20) × 37.35 = 7.47
This means that the discount price is $7.47
Now subtract that from the total.
37.35 - 7.47 = 29.88
Therefore, his total in dollars and cents after the discount and before tax is twenty-nine dollars and eighty-eight cents.
Quick math, please help! What is the length of side BC in the triangle? Thank you!
Answer:
I got 24 for the answer!
Step-by-step explanation:
x+8=2x-1
solve for x, and you will get x=9
then you will plug this into bc, 3x-3, and that will be 3(9)-3, and you will get 24! Hope this is right!
Paulie is buying a shirt that was originally priced at $15. The store has a today-only discount of 25%. What is today’s price for the shirt?
Answer:
he is buying it for 11.25. you get this buy multiplying 15 by 25% which equals 3.75 then you subtract 15 by 3.75 and you get 11.25
hope it helps
please mark as brainliest
Step-by-step explanation:
Answer:
11.25$
Step-by-step explanation:
what is the word used to describe a vector that always points toward the center of a circular path?
"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."
The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.
The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.
Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.
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Find x and y please please . Math help
Answer:
x = y = 20
Step-by-step explanation:
The two triangles shown are similar because one is simply an extension of othe other.
From this, we can use a similar side lengths formula specifically for triangles.
\(\frac{y + 5}{y} = \frac{15}{12}\\\)
Notice that this represents the ratio of the whole side to the smaller side and says that this proportion is equal to the proportion for its adjacent side lengths. Cross mutiply the above equation to solve for y.
12(y+5) = 15y
12y + 60 = 15y
y = 20
Now we need to find the value of x. We have a side and hypotenuse's length of this large triangle, so we can use the pythagorean theorem to calculate the unknown side length.
(12 + 3)² + x² = (20 + 5)²
15² + x² = 25²
225 + x² = 625
x² = 400
x = ±20
The negative 20 doesn't make sense for this application so use the positive 20.
Therefore x = 20, y = 20.
Somebody please help it would be much appreciated.
Answer:
25
Step-by-step explanation:
as you can see test a is further away from the ruler you have to put it at 0 so that you can get your answer I am not sure if it's correct or not
Answer:
Step-by-step explanation:
Indicate which of the following choices best identifies the hypothesis test.
a. independent group means, population standard deviations and/or variances unknown
b. matched or paired samples
c. single mean
d. two proportions
e. single proportion
A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. The population standard deviations are two pounds and three pounds, respectively. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet.
we have independent group means with known population standard deviations (and potentially known population variances), making choice (a) the most suitable option for identifying the hypothesis test in this scenario.
The appropriate choice that identifies the hypothesis test in this scenario is:
a. independent group means, population standard deviations and/or variances unknown
In this case, we are comparing the mean weight loss between two different groups (powder diet and liquid diet) that are independent of each other. The population standard deviations are known, but the population variances are not explicitly mentioned. However, since the standard deviations are given, we can assume that the variances are also known.
Therefore, we have independent group means with known population standard deviations (and potentially known population variances), making choice (a) the most suitable option for identifying the hypothesis test in this scenario.
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Hunter is going to graph the ordered pairs that are represented by this table on a coordinate plane.
x
–7
–3
0
1
5
9
y
4
0
2
6
0
–2
In Hunter’s graph, how many points should lie on the y-axis?
0
1
2
3
Answer:
one
Step-by-step explanation:
Any point where x = 0 will fall on the y axis. The y values do not matter for this question.
Answer:
1
Step-by-step explanation:
A box with a square base and open top must have a volume of 500000 cm3. We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only r, the length of one side of the square base. Hint: use the volume formula to express the height of the box in terms of r.] Simplify your formula as much as possible. A(z) = Preview Next, find the derivative, A'(x). Preview 2.] Now, calculate when the derivative equals zero, that is, when A (0. Hint: multiply both sides by r A' (z) = 0 when x = We next have to make sure that this value of z gives a minimum value for the surface area. Let's use the second derivative test. Find A"(). Preview Evaluate A"() at the z-value you gave above.
In the formula provided, A(r) = 2(rh) + 2r², r is the length of one side of the square base. The derivative of A(r) is A'(r) = -1000000/r² + 4r, and the value of r that makes this derivative zero is r = 50∛2. The second derivative of A(r) is A''(r) = 2000000/r³ + 4. A''(50∛2) = 80/∛2 is positive, indicating that the value of r that makes A(r) a minimum is r = 50∛2.
First, the dimensions of the box that minimize the amount of material used can be determined using the surface area formula. The volume of the box is given as: V = lwh = (r)(r)(h) = r²h = 500000 cm³Hence, h = (500000/r²) cm. The surface area of the box can be found as: A(r) = 2lw + lh + wh = 2(rh) + r² + r²A(r) = 2(rh) + 2r². Substituting the value of h found above, A(r) = 2(r[(500000)/(r²)]) + 2r² = (1000000/r) + 2r². The derivative of A(r) is: A'(r) = -1000000/r² + 4r. Equating A'(r) to 0 to obtain the critical point: -1000000/r² + 4r = 0. Multiplying both sides by r² gives: -1000000 + 4r³ = 0. 4r³ = 1000000. Thus, r³ = 250000. r = 50∛2.
To verify that this is indeed a minimum value for the surface area, we find the second derivative of A(r): A''(r) = 2000000/r³ + 4. Plugging r = 50∛2 into the second derivative formula gives: A''(50∛2) = 2000000/(50∛2)³ + 4 = 80/∛2. Since A''(50∛2) is positive, this confirms that A(r) = (1000000/r) + 2r² is minimized when r = 50∛2.
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help ????!!!! pls!!!
Answer:
You can use y − y1 = m(x − x1) and get 2-y= 1/6(9-3) so y = 1
Step-by-step explanation:
What is the approximate volume of a cone with a radius of 1. 75 feet and a height of 2. 1 feet?.
V = (1/3) * * r2 * h, where V is the volume, is a mathematical constant roughly equal to 3.14159, r is the radius of the base, and h is the height of the cone, can be used to determine a cone's volume.
We can enter the following values into the formula given a radius of 1.75 feet and a height of 2.1 feet:
V = (1/3) * 3.14159 * (1.75^2) * 2.1
Further streamlining the equation:
V = (1/3) * 3.14159 * 3.0625 * 2.1
(Rounded to the nearest three decimal places) V = 10.824 cubic feet.
As a result, the cone's volume is roughly 10.824 cubic feet.
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what is x: |3x-1| = 4
Step-by-step explanation:
here's the answer to your question
Can you help me solve this!
Hello!
surface area
= 2(6*2) + 2(4*2) + 4*6
= 2*12 + 2*8 + 24
= 24 + 16 + 24
= 64 square inches
A comet is estimated to be about 960,000,000 km from Earth. Write this distance in scientific notation. [?] × 10 km Enter 13
Answer:
\((9*10^{9})( 6*10^{8})\) or 9.6×10^8
Step-by-step explanation:
The answer is written above.
Hope this helps!
Answer:
9.6 * 10^8 km.
Step-by-step explanation:
960,000,000
= 9.6 * 10^8 km.
The value of the exponent = number of digits after the 9, which = 8.
What is a common factor for x^2-4 and x^2-5x+6
Answer:
Below
Step-by-step explanation:
x^2 -4 = (x+2)(x-2)
x^2 -5x+6 = (x -2)(x-3) See the common factor ?
I need help with this one 8
a. The equation to represent the problem is 1824π = 48x
b. The value of x is 38π
c. The unknown dimension is the height of the cone.
What is the volume of a cone?The volume of a cone can be calculated using the formula:
Volume = (1/3) * π * r² * h
where:
π is a mathematical constant approximately equal to 3.14159,r is the radius of the base of the cone, andh is the height of the cone.In the given problem, we know the volume of the cone, but we need to find the height of the cone.
a. The equation to represent this will be;
1824π = 1/3*12²*x
1824π = 48x
b. To solve the equation in order to find the value of x;
1824π = 48x
Divide both sides by coefficient of x
x = 38π
c. The unknown dimension is the height of the cone.
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a _______ is a single value used to approximate a population parameter. : a. critical valueb. margin of errorc. confidence intervald. point estimate
A single value that is used to approximate a population parameter is a point estimate (D).
What exactly is a point estimate?A point estimate is frequently in the form of the mean or a proportion calculated from a sample. It can be used to estimate a population parameter. In a random sample of a population, a point estimate is used to discover an approximate value of a population parameter.
In conclusion, the answer is D.
Meanwhile, the margin of error is part of the confidence interval. It is calculated by multiplying the critical value by the sample proportion's standard deviation. Then, a confidence interval in the population denotes a range within which the point estimate value is expected to decrease by a specific percentage. Last, the critical value is contrasted to the acquired statistical test in hypothesis testing to decide whether or not the null hypothesis must be rejected.
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Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water. If the water input contained at a constant rate, how many more hours are needed to completely fill the 920-gallon pooo?
It will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
After 5 hours the pool filled with 230 gallons
Let's suppose that after x hours the pool will fill with 920 gallons
After x hours the pool filled with 920 gallons.
As the water input contained at a constant rate
So the value of x can be evaluated:
\(\rm x = \frac{920\times5}{230}\)
x = 20 hours
Thus, it will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.
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i need help this is due tomorrow
Answer:
x z y is the awnser
Step-by-step explanation:
I'm doing this type of stuff
How many milliliters of a 46 % salt solution do we need to mix with
6 milliliters of a 35% salt solution so that the resulting mixture is a
43 % salt solution?
THANKS! I WILL GIVE 100 POINTS!
Answer:
Can you take a picture of the question