Answer:
t= -4, -5, -6, -7..... -999... erc
At a particular restaurant, each slider has 325 calories and each mozzarella stick has 70 calories. A combination meal with mozzarella sticks and sliders is shown to have 1210 total calories and 4 times as many mozzarella sticks as there are sliders. Determine the number of sliders in the combination meal and the number of mozzarella sticks in the combination meal.
Step-by-step explanation:
The equation system serves as the foundation for this query. As a result, the number of sliders and onion rings in the combination meal could both be calculated using the system of equations 2s = r and r(70) + s(200) = 1020.
Given:
Each onion ring at one eatery contains 70 calories, while each slider has 200 calories. An onion ring and slider combo meal has 1020 calories overall and twice as many sliders as onion rings, according to research.
According to the question:
Let r be the number of onion rings and s be the number of sliders.
Now, it is stated that there are twice as many sliders as onion rings. mathematical form, it is expressed as,
The first system of equations is 2s = r.
Additionally, each onion ring contains 70 calories, and each slider contains 200 calories. A combined lunch of sliders and onion rings has 1020 calories overall. This indicating as
The second set of equations reads as follows: r(70) + s(200) = 1020.
As a result, the number of sliders and onion rings in the combination meal could both be calculated using the system of equations 2s = r and r(70) + s(200) = 1020.
Simplified Version:
r = onion rings amount
s = sliders amount
system of equations
2s = r
r(70) + s(200) = 1020
please help!! Find the center and radius of the circle represented by the equation below.
(x - 5)2 + (y + 13)2 = 400
Center:
Radius:
Submit Answer
Answer:
circle represented by the equation below.
(x - 5)2 + (y + 13)2 = 400
Center:
Radius:
If the cost of 7m is Rs. 1470, find the cost of 5m cloth
By using unitary method, we found that the cost of 5m cloth is Rs. 1050.
According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,
Cost of 1m cloth = Total cost of 7m cloth/7
We know that the total cost of 7m cloth is Rs. 1470. Therefore,
Cost of 1m cloth = 1470/7
Cost of 1m cloth = Rs. 210
This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.
Cost of 5m cloth = Cost of 1m cloth x 5
Cost of 5m cloth = Rs. 210 x 5
Cost of 5m cloth = Rs. 1050
Therefore, the cost of 5m cloth is Rs. 1050.
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What is the product?
Answer:
10x²+3xy+6x-y²+3y
Step-by-step explanation:
(2x+y)(5x-y+3) steps
2x(5x-y+3)=10x²-2xy+6x
y(5x-y+3)= 5xy-y²+3y
add: 10x²-2xy+6x+5xy-y²+3y
10x²+3xy+6x-y²+3y
Jfndndndjjfjfjnsniwi
Answer:
soo abcdefghigklmnopqrstuvwzyz
its 50 with Fahrenheit
Step-by-step explanation:
becauze 4+5÷6=71
Write the number 9.7 x 10^-3 in standard form.
Answer:
.0097
Step-by-step explanation:
Take the decimal and move it 3 (variable for any negative exponent) places to the left
Answer:
0.0097 is the answer.
Step-by-step explanation:
You start by counting from the decimal place. For negative exponents, you would count to the left. Three decimal places to the left of 9.7 is 0.0097.
Ava makes bead necklaces. She has a total of write the value of each expression.of 6,048 beads. Each necklace has 24 beads.Her friend Maria says that the greatest number of necklaces she can make with the beads is 162. Maria’s work is shown here.Explain why Maria’s answer is incorrect and how she can find the correct answer.
Answer:
She made the 6 into a five to make the 0 a 1 too early, because 24 can go into 60 twice, but in order to subtract the 8, you would then have to make the 6 into a 5 as well as the 0 into a 1.
Step-by-step explanation:
6048 divided by 24 is 252
A survey of couples in a certain country found that the probability that the husband has a college degree is .65 a) What is the probability that in a group of 9 couples, at least 6 husbands have a college degree b) If there are 24 couples, what is the expected number and standard deviations of husbands with college degree?
a) The probability that in a group of 9 couples, at least 6 husbands have a college degree can be calculated using the binomial probability formula.
b) In a group of 24 couples, the expected number of husbands with a college degree is 15.6, and the standard deviation is approximately 2.35.
a) To find the probability that at least 6 husbands have a college degree in a group of 9 couples, we can use the binomial probability formula. Let's denote the probability of a husband having a college degree as p = 0.65 and the number of couples as n = 9.
The probability mass function for the binomial distribution is given by P(X = k) = C(n, k) * p^k * (1 - p)^(n - k), where X is the number of husbands with a college degree and k is the number of husbands with a college degree.
To find the probability of at least 6 husbands having a college degree, we sum the probabilities of having 6, 7, 8, and 9 husbands with a college degree:
P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)
P(X = k) = C(9, k) * 0.65^k * (1 - 0.65)^(9 - k)
Calculating each term and summing them up will give us the desired probability.
b) To find the expected number of husbands with a college degree in a group of 24 couples, we multiply the probability of a husband having a college degree (p = 0.65) by the number of couples (n = 24):
Expected number = p * n
To find the standard deviation of the number of husbands with a college degree, we use the formula for the standard deviation of a binomial distribution:
Standard deviation = sqrt(n * p * (1 - p))
Plug in the values of n and p to calculate the standard deviation.
Please note that in both parts, we assume that each couple is independent, and the probability of a husband having a college degree is constant across all couples.
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If the stadium has a diameter of 800 ft, how far does Bob walk?
Answer:
as far as he wants. is he walking the diameter, to the store, across the field?
if it is across the field, then about 255 ft
Step-by-step explanation:
Bob will walk for 2512 feet.
What is circumference?The circumference of a circle is basically the perimeter of the circle.
Given that, the stadium has a diameter of 800 ft,
Bob will walk on the perimeter of the stadium, therefore,
circumference = π*diameter
= 800*3.14 = 2512
Hence, Bob will walk for 2512 feet.
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4. (10+10 points) (a) Solve the recurrence relation
an = 4an−1 + 4an−2 with initial conditions a0 = 1 and a1 = 2.
(b) Find all solutions of the recurrence relation
an = 2an−1 + 3 · 2n.
a) The solution to the recurrence relation is an = [(1 + √2)/4](2 + 2√2)^n + [(1 - √2)/4](2 - 2√2)^n. (b) The solution to the recurrence relation is an = -2·2^n + 3·2^n = 2^n(3 - 2^n).
(a) The characteristic equation of the recurrence relationan = 4an−1 + 4an−2 is r^2 - 4r - 4 = 0. Solving this quadratic equation, we get r = 2 ± 2√2. Therefore, the general solution of the recurrence relation is an = c1(2 + 2√2)^n + c2(2 - 2√2)^n. Using the initial conditions a0 = 1 and a1 = 2, we can solve for the constants c1 and c2. We get c1 = (1 + √2)/4 and c2 = (1 - √2)/4. Therefore, the solution to the recurrence relation is an = [(1 + √2)/4](2 + 2√2)^n + [(1 - √2)/4](2 - 2√2)^n.
(b) The homogeneous part of the recurrence relationan = 2an−1 is given by the characteristic equation r - 2 = 0, which has the root r = 2. Therefore, the general solution of the homogeneous part is an = c2·2^n. To find a particular solution of the non-homogeneous part an = 3 · 2^n, we can try the form an = A·2^n. Substituting this into the recurrence relation, we get A·2^n = 3·2^n, which implies A = 3. Therefore, a particular solution of the non-homogeneous part is an = 3·2^n. The general solution of the recurrence relation is the sum of the homogeneous and non-homogeneous parts, which is an = c2·2^n + 3·2^n. Using the initial condition a0 = 1, we get c2 = 1 - 3 = -2. Therefore, the solution to the recurrence relation is an = -2·2^n + 3·2^n = 2^n(3 - 2^n).
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Giving brainliest and max rating.
Answer:
5+-2
Step-by-step explanation:
it
Compare using <, >, or =.
23 × 103 ___ 250 × 102
1. =
2. <
3. >
Answer:
b. <
Step-by-step explanation:
2,369 is less than 25,500
23x103=2369
250x102=25500
Answer:
The answer is 3 . Hope you like answer.
Give an example of a pair of series an and bn with positive terms where limn rightarrow infinity (an/bn) = 0 and bn diverges, but an converges. (Note this demostrates the contrapositive of the limit comparison test: "If one of an and bn converges and the other diverges, then limn rightarrow infinity (an/bn) = 0 or infinity or DNE. ")
Example that demonstrates the contrapositive of the limit comparison test. Let's consider a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges.
Let's define the series an and bn as follows:
- an = 1/\(n^2\)
- bn = 1/n
Now, let's examine the limit:
lim(n→∞)(an/bn) = lim(n→∞)((1/\(n^2\)) / (1/n))
To simplify the limit expression, we multiply both numerator and denominator by \(n^2\):
lim(n→∞)(\(n^2\)(1/\(n^2\)) / \(n^2\)(1/n)) = lim(n→∞)(n/\(n^2\)) = lim(n→∞)(1/n)
As n approaches infinity, the limit becomes:
lim(n→∞)(1/n) = 0
Now, let's check the convergence of the series an and bn:
- an = Σ(1/\(n^2\)) is a convergent p-series with p = 2 > 1.
- bn = Σ(1/n) is a divergent p-series with p = 1.
Thus, we have provided an example of a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges. This demonstrates the contrapositive of the limit comparison test, as requested.
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on june 1, grey co. borrows $15,000 cash from national bank by signing a 120-day, 10% interest-bearing note. grey will record interest during the year totaling $ ____
Grey will record interest during the year totaling $500.
Define the term interest-bearing note?An interest-bearing note is a sum of money that a lender lends to a borrower, with interest accruing in line with the conditions of the contract.Notes with an interest component have a defined rate of interest that must be paid on top of the principal amount. There is no specified interest rate on zero-bearing and non-interest bearing notes.For the stated question-
Borrowed money from national bank = $15,000.
Time 120 days.
10% interest-bearing note
Thus, interest during the year;
interest = 15000 x 120 x 0.10 / 360 (days)
interest = 500
Thus, Grey will record interest during the year totaling $500.
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Can someone PLEASE tell me the answer
Answer:
the answer is C 36
Step-by-step explanation:
Write the coordinates of the vertices after a dilation with a scale factor of 1/4, centered at the origin.
Answer:
E'(-2, 2)F'(0, 0)G'(-2, -2)Step-by-step explanation:
You want the coordinates of the vertices of ∆E'F'G' after ∆EFG has been dilated with a scale factor of 1/4.
DilationDilation about the origin multiplies each preimage coordinate by the scale factor.
E' = (1/4)E = (1/4)(-8, 8) = (-2, 2)
F' = (1/4)F = (1/4)(0, 0) = (0, 0)
G' = (1/4)G = (1/4)(-8, -8) = (-2, -2)
The coordinates after dilation are E'(-2, 2), F'(0, 0), G'(-2, -2).
<95141404393>
Someone explain please
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
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Unlike the range which describes all the y-values used by the graph, the domain describes the x-values used by the graph. The domain is basically describing how far left to right the graph goes.
What's tricky about this is to recognize that the graph goes on forever to both the left and the right. It never stops on either side.
In words, we'd say it goes from negative infinity to positive infinity.
As an inequality, we'd write this as Answer D.
Rachelle graphs a point at (4, 2). She says that she can move her
point four or more units to the left and two or more units down to arrive at a point in the third quadrant. Is Rachelle correct? Explain why or why not.
Answer: yes, Rachelle is correct.
Step-by-step explanation:
first, if you're moving left, you're subtracting from the x value.
4-4=0
next, if you're moving down then you're subtracting from the y value.
2-2=0
if you subtract more than the given numbers, like said in the problem, you would have coordinates like (-1,-1) or (-3,-4)
therefore, you would be in the third quadrant.
given the f(x)=x+2 g(x)=3x²-1 what is (fg) (x)?
Answer:
(f·g)(x) = 3x² + 1Step-by-step explanation:
Given:
f(x)=x+2, g(x)=3x²-1To find:
(f·g) (x) = ?Solution:
(f·g)(x) = f(g(x)) = f(3x²-1) = (3x²-1) + 2 = 3x² + 1(f·g)(x) = 3x² + 145% of what number is 7.2
Hello!
45% of x = 7.2
45x/100 = 7.2
45x = 7.2 * 100
45x = 720
x = 720/45
x = 16
the number = 16
A diver leaves the diving board 9.25 feet above the surface of the pool and travels downward. His dive carries him 3.25 feet below the surface of the pool. What is the total distance of the dive?
For a normal distribution, the skewness and kurtosis measures are as follows: O A. 1 and 2 B. 0 and 3. OC. O and 0. OD. 1.96 and 4.
For a normal distribution, the skewness and kurtosis measures are as follows: Option B. 0 and 3.
Skewness is a measure of the asymmetry of a probability distribution. Skewness is a measure of the degree of asymmetry in the probability distribution of a random variable around its mean.
When the skewness is 0, the normal distribution is symmetrical.
Kurtosis is a measure of the degree of peakiness, or flatness, of a probability distribution.
For a normal distribution, kurtosis equals 3. In comparison to the normal distribution, distributions with kurtosis greater than 3 have a more pointed peak and longer tails, while distributions with kurtosis less than 3 have a less pointed peak and shorter tails.
Therefore, for a normal distribution, the skewness and kurtosis measures are 0 and 3, respectively. Hence, the correct option is B. 0 and 3.
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Find the value of x and round to the nearest tenth
Answer:
x ≈ 22,6°
Step-by-step explanation:
Use trigonometry:
\( \cos(x°) = \frac{12}{13} \)
Use the reverse (SHIFT, cos (12/13)) function on your calculator to find the approximate value of x:
x ≈ 22,6°
3- A 4 lb weight stretches a spring 1ft in equilibrium. An external force F(t)=25sin(8t) N is applied to the weight, which is initially displaced 4 inches above equilibrium and given a downward velocity of 1ft/s. Find its displacement for t>0.
To find the displacement of the weight for \( t > 0 \) given the conditions provided, we can use the equation of motion for a spring-mass system.
By solving this second-order linear homogeneous differential equation, we can determine the displacement as a function of time.
The equation of motion for a spring-mass system is given by
\( m\frac{{d^2x}}{{dt^2}} + kx = F(t) \),
where \( m \) is the mass, \( x \) is the displacement, \( k \) is the spring constant, and \( F(t) \) is the external force.
In this case, the mass is 4 lb, the spring constant can be found by Hooke's law as
\( k = \frac{{mg}}{{\Delta x}} \),
where \( g \) is the acceleration due to gravity and \( \Delta x \) is the displacement in equilibrium. The external force is given as
\( F(t) = 25\sin(8t) \) N.
To solve the equation of motion, we first convert the given quantities to SI units. Then we substitute the values into the equation and solve for the displacement \( x(t) \) as a function of time.
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Sasha works for the Humane Society and had to buy food for the dogs. She buys 16 1/4 pounds of dog food. She feeds each dog about 5/8 of a pound. How many dogs can she feed?
26
25
10
6
Answer:
It’s 26
Step-by-step explanation:
It’s dividing
Mrs. Flossi is hosting a trivia contest for 40 students and 24 staff members. To be fair,
Mrs. Flossi wants there to be the same number of students and the same number of
staff members on each team.
What is the greatest number of teams Mrs. Flossi can make?
1. 3 teams
2. 4 teams
3. 5 teams
4.8 teams
(I WILL GIVE BRAINLIEST)
Answer:
8 teams is answer
Step-by-step explanation:
At a show 4 adult tickets and 1 child ticket cost £33 2 adult tickets and 7 child tickets cost £36 Work out the cost of 10 adult tickets and 20 child tickets.
Answer:
10 adult tickets cost £75 , 20 child tickets cost £60
Step-by-step explanation:
let a be the cost of an adult ticket and c the cost of a child ticket , then
4a + c = 33 → (1)
2a + 7c = 36 → (2)
multiplying (2) by - 2 and adding to (1) will eliminate a
- 4a - 14c = - 72 → (3)
add (1) and (3) term by term to eliminate a
0 - 13c = - 39
- 13c = - 39 ( divide both sides by - 13 )
c = 3
substitute c = 3 into either of the 2 equations and solve for a
substituting into (1)
4a + 3 = 33 ( subtract 3 from both sides )
4a = 30 ( divide both sides by 4 )
a = 7.5
the cost of an adult ticket is £7.50
then 10 adult tickets cost 10 × £7.50 = £75
the cost of a child ticket is £3
the cost of 20 child tickets is 20 × £3 = £60
Giving right answer branleist
Answer:
48 ft
Step-by-step explanation:
4 + 8 + 13 + 5 + 11 + x =
12 + 18 + 11 + x =
30 + 11 + x =
41 + x =
NOW TO SOLVE FOR X:
The width of the bottom and the top are equal. 11 - 4 = 7. The missing number is 7.
41 + 7 = 48 ft
Find the density if it has a mass of 20g (mass per unit of volume)
Answer:
20/4 = 5ml
Step-by-step explanation: