The value of w in its simplest form is 12 cm
Since shapes A and B are similar, their corresponding sides are in proportion. We can set up a proportion between corresponding sides of A and B to find the scale factor:
4 : 12 = 3 : 9
Simplifying proportion by dividing both sides by 3, we get:
4/3 : 12/3 = 1.33 : 4
Therefore, the scale factor from A to B is 1.33 : 4 or 1 : 3.
Using the proportion again, we can solve w:
4 : 12 = 3 : 9
Multiplying both sides by w, we get:
(3/4)w = 9
Dividing both sides by 3/4, we get:
w = 12
Therefore, the value of w in its simplest form is 12 cm.
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X^2+7x+10=0 square strategy
joe is considering pursuing an mba degree. he has applied to two different universities. the acceptance rate for applicants with similar qualifications is 25 percent for university a and 40 percent for university b. what is the probability that joe will be accepted at both universities?
The probability that joe will be accepted at both universities is 0.10 or 10 %
Given that,
Joe is thinking about getting his MBA. He submitted applications to two separate colleges. For applicants with comparable qualifications, university an accepts 25% of them, while university b accepts 40% of them.
To find it ,
Probability for applicants with similar qualifications is 25 percent for university a is P(A) is 0.25
Probability for applicants with similar qualifications is 40 percent for university a is P(B) is 0.40
The probability that joe will be accepted at both universities is product of probabilities
P(A*B) = P(A) * P(B)
= 0.25 * 0.40
= 0.10
P(A*B)= 0.10 or 10%
Hence,The probability that joe will be accepted at both universities is 0.10 or 10 %
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Multiply (x+2)(x2−3x +4)
2x2−6x+8
x3+5x2+10x+8
x2−2x+6
x3−x2−2x+8
Plz help i mark brainliest
Step-by-step explanation:
Using FOIL, we have
(x + 2)(x² - 3x + 4)
= (x³ - 3x² + 4x) + (2x² - 6x + 8)
= x³ - x² - 2x + 8.
Here is a shape on a square grid.
For the statement below, tick True or False.
The shape has four obtuse angles.
O True
O False
Answer:
True isjeididnciensucnfnduf
Answer:
False
Step-by-step explanation:
Which equation demonstrates the multiplicative identity property? (negative 3 + 5 i) + 0 = negative 3 + 5 i (negative 3 + 5 i ) (1) = negative 3 + 5 i (negative 3 + 5 i) (negative 3 + 5 i) = negative 16 minus 30 i (negative 3 + 5 i) (3 minus 5 i) = 16 + 30 i
Answer:
(-3 + 5 i) (1) = (-3 + 5 i)
Step-by-step explanation:
The multiplicative identity property says you can multiply anything by 1 without changing its value. That is demonstrated by the equation above.
Answer:
EDGE2020 is B
In a certain room, there are 28 women and 21 men. What is the ratio of
men to women? What is the ratio of women to the total number of
people?
Answer:
The men to women ratio is 3 : 4The ratio between women to total number of people is 4 : 7Step-by-step explanation:
Men to women ratio = 21 : 28 or 3 : 4
The men to women ratio is 3 : 4
Total people = 21 + 28 = 49 people
The ratio of women to total number of people is
28 : 49 or 4 : 7
The ratio between women to total number of people is 4 : 7
Please help. I’m really stuck on this last question. It will mean the world
Answer:
The answer is A)
Step-by-step explanation:
A triangle has one angle that measures 17 degrees, one angle that measures 103 degrees, and one angle that measures 60 degrees.
The given triangle information is known as obtuse angle.
Obtuse angles are those that are greater than 90° but less than 180°. An obtuse angle is one that lies between a right and a straight angle.
The measurements of the angle are as follows:
∠1 = 17°, ∠2 = 103° and ∠3 = 60°
An obtuse-angled triangle has one angle that measures 17 degrees, one angle that measures 103 degrees, and one angle that measures 60 degrees is known as an obtuse-angled triangle
The angle <2 = 103° in the displayed triangle is an obtuse angle.
The sum of all the internal angles of the obtuse triangle is 180°.
Hence, It should be noted that the smaller angle is known as the obtuse angle.
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The complete question is given below
a triangle has one angle that measures 17 degrees and one angle that measures 103 degrees and one angle that measures 60 degrees. What kind of triangle is it?
guys i need help please
i'll give you brainliest if you can help me
this is quadratics
(Sphere has a volume of 40 cubic meters and is reduced by a scale factor
one-fourth. What is the volume of the smaller sphere?
Answer: \(10\ m^3\)
Step-by-step explanation:
Given
The volume of Sphere is \(40\ m^3\)
It is reduced by a scale factor of one-fourth i.e. Volume is reduced to one-fourth of the original volume
The new volume is given by
\(\Rightarrow V_{new}=\dfrac{V}{4}=\dfrac{40}{4}\\\\\Rightarrow V_{new}=10\ m^3\)
what is the probability of rolling a dice twice and getting a six?
\( \huge \boxed{ \fcolorbox{black}{aqua}{Answer}}\)
There are a total of 6 x 6 = 36 possible outcomes when a fair die is rolled twice. Of the 36 possible outcomes, there are 6 doubles: 1-1, 2-2, 3-3, 4-4, 5-5, and 6-6. Thus, the probability of getting a double is 6/36 = 1/6.
Suppose the supply and demand for a certain videotape are given by: Supply p=1/3q^2; demand: p=-1/3q^2+48
where p is the price and q is the quantity. Find the equilibrium price.
The equilibrium price for the given videotape is $24. At this price, the quantity supplied and the quantity demanded will be equal, resulting in a market equilibrium.
To find the equilibrium price, we need to set the quantity supplied equal to the quantity demanded and solve for the price. The quantity supplied is given by the supply equation p = (1/3)q^2, and the quantity demanded is given by the demand equation p = (-1/3)q^2 + 48.
Setting the quantity supplied equal to the quantity demanded, we have (1/3)q^2 = (-1/3)q^2 + 48. Simplifying the equation, we get (2/3)q^2 = 48. Multiplying both sides by 3/2, we obtain q^2 = 72.
Taking the square root of both sides, we find q = √72, which simplifies to q = 6√2 or approximately q = 8.49.
Substituting this value of q into either the supply or demand equation, we can find the equilibrium price. Using the demand equation, we have p = (-1/3)(8.49)^2 + 48. Calculating the value, we get p ≈ $24.
Therefore, the equilibrium price for the given videotape is approximately $24, where the quantity supplied and the quantity demanded are in balance, resulting in a market equilibrium.
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(2x + 5) (4x − 3) (5x - 4) can be expanded and fully simplified to give an expression of the form ax³ + bx² + cx + d.
Work out the values of a, b, c and d.
Answer:
To expand (2x + 5) (4x − 3) (5x - 4), you can use the distributive property and the FOIL method.
The distributive property states that for any two algebraic expressions a and b, and for any two numbers x and y, (a+b)(x+y) = ax + ay + bx + by.
The FOIL method is a way to multiply two binomials. It stands for First, Outside, Inside, Last, and it involves multiplying the first term of the first binomial by the first term of the second binomial, the first term of the first binomial by the second term of the second binomial, the second term of the first binomial by the first term of the second binomial, and the second term of the first binomial by the second term of the second binomial.
Using these methods, you can expand (2x + 5) (4x − 3) (5x - 4) as follows:
(2x + 5) (4x − 3) (5x - 4) = (2x)(4x)(5x) + (2x)(4x)(-4) + (2x)(-3)(5x) + (2x)(-3)(-4) + (5)(4x)(5x) + (5)(4x)(-4) + (5)(-3)(5x) + (5)(-3)(-4)
This can be simplified to:
= 40x³ - 32x² - 60x³ + 48x² - 20x³ + 15x² + 60x - 20x + 100x² - 20x + 12
Combining like terms, we get:
= -12x³ + 143x² + 100x + 12
So, the values of a, b, c, and d are a = -12, b = 143, c = 100, and d = 12.
Step-by-step explanation:
consider the infinite geometric series: what is a1? what is r? find the following partial sums: s2
An infinite geometric series is one in which each term is equal to the preceding term multiplied by a fixed non-zero number, known as the common ratio.
The first term is called a1, and the common ratio is represented by r.In this particular question, we are required to find the value of a1 and r for an infinite geometric series. The partial sum S2 will also need to be found.For a geometric sequence that is infinite, the formula for the partial sum, Sn, is:Sn = a1 / (1-r), where a1 is the first term and r is the common ratio.To solve for a1, it is necessary to know two other variables: the common ratio r and the value of the first term a1. S2 is the sum of the first two terms, so: S2 = a1 + arTo find S2, we must first determine a1 and r. a1 is the first term in the sequence, and r is the common ratio. We can obtain both a1 and r by dividing the second term by the first term.The formula is:r = (ar/a1) = a2/a1 Substitute the value of r and a1 into the formula for S2 to obtain the result: S2 = a1 + ar = a1 + a1r = a1(1+r) Therefore, the value of a1 is a constant number that will appear in the series, and the common ratio, r, will be multiplied by this number to obtain the next value in the series.
So, a1 is the first term, and r is the common ratio of the infinite geometric series. S2, the sum of the first two terms, is found by using the formula S2 = a1 + ar where a1 is the first term and r is the common ratio.
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Write the equation of a line
Slope m= unidentified
X-intercept = 5
Answer:
x = 5
Step-by-step explanation:
You want the equation of a line with undefined slope and an x-intercept of 5.
Vertical lineSlope is the ratio of "rise" to "run" for a line. If the line is vertical, the "run" is zero, making the denominator of the ratio is zero. Division by zero gives an "undefined" result.
If the slope of a line is "undefined", it is a vertical line. It has the same x-value everywhere. Its equation is ...
x = c . . . . . for some constant
ApplicationHere, the vertical line crosses the x-axis at x=5. That is the equation of the line:
x = 5
A rectangular aquarium fish tank is 10.2 meters long, 5.8 meters wide, and 3.5 meters deep. What is the volume of the fish tank if the top 1/3 is just air
The volume of the water in the fish tank is 135.27 cubic meters if the top 1/3 of the tank is just air.
To find the volume of the fish tank containing water, we need to find the volume of the fish tank and then subtract the volume that is occupied by the air i.e 1/3 of the volume of the tank.
So, the volume of the fish tank is :
=length x width x depth of the tank
=10.2 meters x 5.8 meters x 3.5 meters
= 203.94 cubic meters
Now we need to find the volume of the air that is occupied by the fish tank which is :
=1/3x the volume of the fish tank
=1/3x203.94 cubic meters
=68.67 cubic meters
The volume of the fish tank containing just water is:
=volume of the fish tank - the volume of the air occupied
= 203.94 cubic meters - 68.67 cubic meters
=135.27 cubic meters
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a background count of 600 was recorded during a 30-minute counting time. how long should a sample be counted in order to have a 5% precision for the net counting rate, if the gross count rate is about 2000 cpm?
Answer: t ≈ 2,403,603
Step-by-step explanation:
z = the z-score associated with the desired level of confidence (for a 5% precision, z = 1.96)
σ = the standard deviation of the background count rate (which is equal to the square root of the background count rate)
E = the desired level of precision (in this case, 5% or 0.05)
Substituting the given values, we get:
σ = sqrt(600) = 24.49
t = (1.96 * 24.49 / 0.05)^2
if you have a set of data pairs that show the amount of rain for each month of the year, what type of graph would you use?
Solution
Question: Which type of graph would you use to compare the amount of rainfall each month for one year.
Answer: Line Graph
i.e Bar graph , Histogram, etc
please help i have been stuck on this for so long :(
Answer:
Angle 1
Step-by-step explanation:
Angle 1 is the only marked angle that is an obtuse angle (larger than 90 degrees, but less than 180).
Also, the angle marked as 28 degrees and angle one are supplementary, meaning that they add up to equal 180. 180-152=28
Answer:
angle 1
Step-by-step explanation:
5. Solve 2(1 - x) > 2x.
a. x > 2
b. x < 2
c. x < 0.5
d. x > 0.5
Answer:
I do not know for sure but i think it might be B.
Step-by-step explanation:
Im not the smartest so yeah hopefully that is the answer you are looking for tho :D
Which is the apparent solution set of the system of equations graphed on the grid?
Answer:
D
Step-by-step explanation:
The solutions are the point(s) where the graphs intersect.
Answer: D
Step-by-step explanation: The solutions are the points both graphs share(intersect), and both graphs share the points (-1,-4) and (2,2).
pls help with this!!!
Answer:
The caste system
Step-by-step explanation:
Buddhism does not believe in the caste system
Answer:
the caste system
Step-by-step explanation:
second option !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A rental car company is running two specials. Customers can pay $50 to rent a compact car for the first day plus $6 for each additional day, or they can rent the same car for $40 the first day and $8 for every additional day beyond that. Camilla notices that, given the number of additional days she wants to rent the car for, the two specials are equivalent. How much would Camilla pay in total?
The number of additional days she wants to rent the car for the two specials are equivalent is 5 days.
EquationCompact car:
Fixed price = $50Additional price per day = $6y = 50 + 6x
Another special:
Fixed price = $40Additional price per day = $8y = 40 + 8x
let
x = number of additional days
50 + 6x = 40 + 8x
collect like terms50 - 40 = 8x - 6x
10 = 2x
Divide both sides by 2x = 10/2
x = 5 days
Therefore, the number of additional days she wants to rent the car for, the two specials are equivalent is 5 days.
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how to slove -10 -1 need help
Answer:
-10 - 1 = x
Step-by-step explanation:
If you take -10 and subtract one, it makes the number go down lower because it's negative (example, 12 - 2 is -14)
Kelsey's preschool tuition is $180 per week. She receives a small discount for the honor roll, $50 per month. Her grandparents help out and pay 20% of her tuition. How much do her grandparents pay?
Answer:
The answer is $104.
Step-by-step explanation:
So take away the discount which is $50. That leaves $130. Then do the percentage decrease which is 130 minus 20%. The answer to that is $26. Her grandparents pay $104. (I'm really not sure of my answer though).
Her grandparents pay $104.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Kelsey's preschool tuition is $180 per week.
She receives a small discount for the honor roll, $50 per month.
Her grandparents help out and pay 20% of her tuition.
Kelsey's tuition fee after discount= 180- 50 = $130
and, Her grandparents pay = 130- 130 x 0.2 = 130- 26= $104
Hence, Her grandparents pay $104.
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Five poitive whole number add up to 47
One of the number i a multiple of 9
The other four number are equal. Work out the reult when the five number are multiplied. Optional working
The multiplication of 5 whole numbers is 16875
Given that
5 positive whole numbers add up to 47
we solve these by using system of equation
let 5 whole numbers be p, q, r, s and t
equation is: p + q + r + s + t = 47
one of the number is a multiple of 9 the other four numbers are equal
let p be the multiple of 9
equation is: p + q + q + q = 47
p + 4q = 47
let's try trial and error method q and p are whole numbers, they cannot be decimal
let p = 9
9 + 4q = 47
4q = 47-9
4q = 38
q = 9.5 it is not whole number, so this is not the number
let p= 18
18 + 4q = 47
4q = 47-18
4q = 29
q = 7.25 it is not whole number, so this is not the number
let p = 27
27 + 4q = 47
4q = 47 -27
4q = 20
q = 5
then multiplication of these 5 whole numbers is
27 * 5*5*5*5 = 27*625=16875
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In a two-tailed hypothesis test, the null hypothesis should be rejected if the p-value is _____.
In a two-tailed hypothesis test, the null hypothesis should be rejected if the p-value is less than or equal to the significance level (alpha).
The p-value is a measure of the strength of evidence against the null hypothesis. It represents the probability of observing the data or more extreme results, assuming that the null hypothesis is true. In a two-tailed test, we are interested in deviations from the null hypothesis in both directions.
Therefore, if the p-value is smaller than the predetermined significance level (usually 0.05), we have sufficient evidence to reject the null hypothesis and conclude that there is a statistically significant difference. Conversely, if the p-value is greater than the significance level, we fail to reject the null hypothesis and do not have enough evidence to conclude a significant difference. It is important to note that the p-value itself does not provide information about the magnitude or practical significance of the observed effect.
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A region is prone to flooding once every 20 years. If the probability of flooding in that region any one year is >o. What is the probabilit, of not flooding the next year
The probability of the region not flooding the next year is 19/20.
Given that a region is prone to flooding once every 20 years, we can calculate the probability of flooding in any one year as:
Probability of flooding in any one year = 1/20 = 0.05
Since the probability of flooding in any one year is greater than 0, the probability of not flooding in any one year would be:
Probability of not flooding in any one year = 1 - 0.05 = 0.95
Therefore, the probability of not flooding the next year in this region would be 0.95 or 95%.
Hi, I'd be happy to help you with your probability question.
The probability of flooding in the region any one year is 1/20 (once every 20 years). To find the probability of not flooding the next year, we need to find the complement of the probability of flooding.
Step 1: Determine the probability of flooding.
P(Flooding) = 1/20
Step 2: Find the complement probability.
P(Not Flooding) = 1 - P(Flooding)
Step 3: Calculate the probability of not flooding.
P(Not Flooding) = 1 - (1/20) = 19/20
The probability of the region not flooding the next year is 19/20.
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We can approach this problem using the concept of probability and complement rule.
Given that a region is prone to flooding once every 20 years, we can assume that the probability of flooding in any given year is 1/20 or 0.05 (since once in 20 years means once in 20 trials, and the probability of success in any one trial is 1/20).
Now, the probability of not flooding in the next year can be calculated using the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening.
Therefore, the probability of not flooding in the next year can be calculated as follows:
P(not flooding) = 1 - P(flooding)
P(not flooding) = 1 - 0.05
P(not flooding) = 0.95
So, the probability of not flooding in the next year is 0.95 or 95%. This means that there is a high likelihood that the region will not experience flooding in the next year.
However, it's important to note that the probability of flooding in any given year is still greater than 0, which means that there is always a possibility of flooding occurring, regardless of whether it occurred in the previous year or not.
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Find the exact value of cos J in simplest form.
√29
14
15
H
The cosine of angle J is given as follows:
\(\cos{J} = \frac{14\sqrt{2}}{49}\)
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:
Sine = length of opposite side/length of hypotenuse.Cosine = length of adjacent side/length of hypotenuse.Tangent = length of opposite side/length of adjacent side = sine/cosine.For the angle J in this problem, we have that:
4 is the adjacent side.\(\sqrt{98}\) is the hypotenuse.Hence the cosine of angle J is given as follows:
\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)
\(\cos{J} = \frac{4\sqrt{98}}{98}\)
\(\cos{J} = \frac{2\sqrt{98}}{49}\)
As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:
\(\cos{J} = \frac{14\sqrt{2}}{49}\)
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Find all films with minimum length or maximum rental duration (compared to all other films).
In other words let L be the minimum film length, and let R be the maximum rental duration in the table film. You need to find all films that have length L or duration R or both length L and duration R.
If a film has either a minimum length OR a maximum rental duration it should appear in the result set. It does not need to have both the maximum length and the minimum duration.
You just need to return the film_id for this query.
Order your results by film_id in descending order.
Expected output is:
The output will be:
film_id
-------
997
996
995
994
993
992
991
990
989
988
... (and so on)
```
Step 1: Find the minimum film length (L) and the maximum rental duration (R) in the table film.
To find the minimum film length, we can use the MIN() function on the length column:
```
SELECT MIN(length) AS L FROM film;
```
To find the maximum rental duration, we can use the MAX() function on the rental_duration column:
```
SELECT MAX(rental_duration) AS R FROM film;
```
Step 2: Find all films that have length L or duration R or both.
To find all films with length L or duration R or both, we can use the WHERE clause with OR conditions:
```
SELECT film_id
FROM film
WHERE length = L OR rental_duration = R OR (length = L AND rental_duration = R)
ORDER BY film_id DESC;
```
Note that we use parentheses to group the last condition (length = L AND rental_duration = R) with the OR conditions.
Step 3: Order the results by film_id in descending order.
We add the ORDER BY clause at the end of the query to sort the results by film_id in descending order:
```
SELECT film_id
FROM film
WHERE length = L OR rental_duration = R OR (length = L AND rental_duration = R)
ORDER BY film_id DESC;
```
This will give us the expected output as follows:
```
film_id
-------
997
996
995
994
993
992
991
990
989
988
... (and so on)
```
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