4.8 cups of sugar are needed to make sweet tea. Melissa only has a cup scoop. How many scoops of sugar will she need?​

When a linear transformation is done to a nonzero vector in linear algebra, the vector is said to have an eigenvector, or characteristic vector, which only changes by a scalar amount. The scaling factor for the eigenvector is the appropriate eigenvalue, frequently represented as lambda.

When a linear transformation is done to a nonzero vector in linear algebra, the vector is said to have an eigenvector, or characteristic vector, which only changes by a scalar amount. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by.

Hence, characteristic polynomial of A and A^T are the same, therefore their eigenvalues are also same.

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A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Answer:

x= 2

y= 12

Step-by-step explanation:

2x+10=14

2x=4

x=2

3y-13=23

3y=36

y=12

In order for the RLC oscillating circuit to decay to 1/10th of its initial value of charge in 50 cycles, a certain resistance (R) needs to be connected in series with a 200-mH inductor and a capacitor.

To determine the required resistance (R), we need to consider the decay of the RLC oscillating circuit over 50 cycles. The decay of the charge in the circuit is influenced by the combination of the inductor, capacitor, and the resistance. The resistance plays a crucial role in damping the oscillations and controlling the decay rate.

To calculate the required resistance, we would need more information such as the initial charge value, the frequency of the oscillations, or the specific values of the inductor and capacitor. Without these details, it is not possible to provide a specific value for the resistance (R) in this scenario. The resistance value will depend on the desired decay rate and the specific characteristics of the circuit components.

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Answer:

$10

Explanation:

If you only have to pay $5 of the $15 you gave him, he has to pay you 15-5 or $10 back.

If a new information database generates $57,000 in yearly income for your organization over the following seven years. The funds are worth $298,795.93 in current value.

A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100. The term "percent" comes from the Latin per centum, which means "hundred" or "by the hundred". The symbol for "percent" came from the Italian expression per cento, which means "for a hundred".

Here,

PVA= Present value = ?

r = Interest rate = 7.8%

t = Time = 7 years

Let plug in the formula

PVA = $57,000{[1 − (1/(1+.078)^7)]/.078}

PVA = $57,000{[1 − (1/1.078^7)]/.078}

PVA = $57,000{[1 − (1/1.6917)]/.078}

PVA = $298,795.93

If your organization will make $57,000 in annum income from a new information database over the next seven years. The current value of the savings is $298,795.93.

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Answer:

b

Step-by-step explanation:

this is the most likely answer because from '81 to '00 there were between 150-200, so it is also likely in this range

Answer:

\(5x = - 1 - 1 = 5x \div 5 = - 2 \div 5 = 2 \div 5\)

Answer:

d. 4^9

Step-by-step explanation:

Question:

Which expression is equivalent to 4^9/4^0?

a. 4^8

b. 4^0

c. 4^7

d. 4^9

Solution:

By definition, a number raised to the 0 power equals 1, with the possible exception of 0^0 which according to some is undefined.

Any number divided by 1 equals the number itself.

For example, 2/1 = 2; 5/1 = 5; -20/2 = -20.

4^0 = 1

Since 4^0 = 1, then when you divide 4^9 by 4^0 you are dividing 4^9 by 1, so you get 4^9.

4^9/4^0 = 4^9/1 = 4^9

Answer:

9 feet

Step-by-step explanation:

The height of the ball in feet is given by the polynomial:

\(h(t) = -16t^2+50t+3\)

where t is the time in seconds.

After 3 seconds, t = 3:

\(h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet\)

The height of the ball after 3 seconds is 9 feet.

The maximum possible number of handshakes at the party can be calculated using the formula n(n-1)/2, where n is the number of people attending. This formula is derived from the fact that each person can shake hands with every other person except themselves.

Let's assume that there are n people attending the party. In order to maximize the number of handshakes, we want each person to shake hands with every other person except themselves.

Now, let's consider the first person. They can shake hands with (n-1) other people, as they cannot shake hands with themselves. Similarly, the second person can shake hands with (n-1) other people, but they have already shaken hands with the first person, so they can only shake hands with (n-1)-1 = (n-2) remaining people.

Following this pattern, the third person can shake hands with (n-1)-2 = (n-3) people, the fourth person can shake hands with (n-1)-3 = (n-4) people, and so on. The last person, the nth person, can shake hands with (n-1)-(n-2) = 1 person.

By summing up the number of handshakes for each person, we get (n-1) + (n-2) + (n-3) + ... + 1, which is the sum of the first (n-1) natural numbers. This sum can be calculated using the formula n(n-1)/2.

Therefore, the maximum possible number of handshakes at the party is n(n-1)/2.

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The probability of being dealt a 3, 4, 5, 6, 7, all in the same suit is approximately 0.0000031.

To calculate the probability of being dealt a 3, 4, 5, 6, 7, all in the same suit, we can use the following formula:

P = (number of favorable outcomes) / (total number of possible outcomes)

the order in which the cards are chosen does not matter, so we need to divide by the number of ways we can arrange 5 cards, which is 5! (5 factorial).

Therefore, the total number of possible outcomes is (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1), which simplifies to 2,598,960.

Finally, we can calculate the probability of being dealt a 3, 4, 5, 6, 7, all in the same suit:

P = 8 / 2,598,960

P = 0.00000308 (rounded to seven decimal places)

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Answer:

B. The y-intercept is located at (0,70)

Step-by-step explanation:

This is because 70 is on the y part of table. Hope this helps!

Answer:

\(\sqrt{51}\)

Step-by-step explanation:

By the Pythagorean theorem, the length of the third side is \(\sqrt{10^2-7^2}=\sqrt{51}\).

The volume of the pyramid is approximately 181.5 cubic meters.

We are given that;

Length of square base= 3m

Height of square base= 11m

Now,

First, we need to find the approximate volume of a slice. The slice is a pyramid with square base of length 3 m and height Δy. The volume of the slice is (1/3) * (\(3^2\)) * Δy = 3Δy.

Next, we add up the volumes of all the slices from y = 0 to y = 11. This gives us the following integral:

∫[0,11] 3y dy

Evaluating this integral gives us:

\((3/2) * (11^2)\) = 181.5

Therefore, by integral answer will be approximately 181.5 cubic meters.

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There are no local maxima, only one local minimum at (3, 0) and no saddle points.B. There are no local maxima. Therefore, option B is the correct choice.

Given function is f(x,y)

= 2x^2 + 4y^2-12x To find all the local maxima, local minima, and saddle points of the above function, we need to find its partial derivatives as follows:fx

= ∂f/∂x

= 4x - 12fy

= ∂f/∂y

= 8yNow, equating both the partial derivatives to zero, we get4x - 12

= 0=> 4x

= 12=> x

= 3 Putting this value of x in fx, we getf(3,y)

= 2(3)^2 + 4y^2 - 12(3)

=> f(3,y)

= 4y^2 - 18 This is a parabola in the upward direction and hence, its vertex is the local minimum point of this parabola and hence, of the function f(x, y).There are no local maxima, only one local minimum at (3, 0) and no saddle points.B. There are no local maxima. Therefore, option B is the correct choice.

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Answer:

y=-3/7x-1.857 is what i got.

Step-by-step explanation:

a) One-to-one but not onto:An example of a function from N to N which is one-to-one but not onto is f(n) = n + 1.

As the function is one-to-one, it implies that no two elements in the domain correspond to the same element in the codomain.

For the given function, f(n) = n + 1, this is true as adding 1 to a distinct element will always give another distinct element.

However, as the function is not onto, it implies that there exist elements in the codomain that are not being mapped by any element in the domain.

For the given function, f(n) = n + 1, this is also true as the element 1 is not being mapped to by any element in the domain. Therefore, the function f(n) = n + 1 is one-to-one but not onto.

Summary:a) One-to-one but not onto:An example of a function from N to N which is one-to-one but not onto is f(n) = n + 1.

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Step-by-step explanation:

this is the solution to both of these questions in that picture.

Answer:

1.65

Step-by-step explanation:

The first number is 1.95, to find the rest we must keep subtracting 0.15 from the previous.

1.95-0.15 = 1.8 (second number)

1.8-0.15 = 1.65 (third number)

Above, we find our answer with the 3rd number.

By using the fact that the sum of all internal angles must be equal to 180°, we will see that the measure of angle B is 70°.

Remember that the sum of the internal angles of a triangle is always equal to 180°, then we can write the linear equation:

40° + (2x - 30°) + (x + 20°) = 180°

(2x - 30°) + (x + 20°) = 180° - 40°

2x + x - 30° + 20° = 140°

3x = 140° + 30° - 20°

3x = 150°

x = 150°/3

x = 50°

Then the measure of angle B is (2x - 30°) = (2*50° - 30°) = 70°.

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The correct answer is 70

The total surface area of the rectangular prism with dimensions of 2 cm, 5 cm, and 6 cm is 104 cm².

To calculate the total surface area of a rectangular prism, we need to find the sum of the areas of all its faces.

A rectangular prism has six faces: a pair of opposite faces are congruent and identical in size. The formula for calculating the surface area of a rectangular prism is:

Surface Area = 2 x (Length x Width + Width x Height + Height x Length)

Given the dimensions of the rectangular prism as 2 cm, 5 cm, and 6 cm, we can substitute these values into the formula:

Surface Area = 2 x (25 + 56 + 62)

= 2(10 + 30 + 12)

= 2*(52)

= 104 cm²

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answer:

103

step-by-step explanation:

**the steps are in the picture**

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

\(3m/s^2\)

Step-by-step explanation:

the information that we have is:

mass: \(m=20kg\)

force applied: \(F=60N\)

since we need to find the acceleration, we can use Newton's second law of motion:

\(F=ma\)

Where \(F\) is the force applied to a mass \(m\) which creates an acceleration \(a\).

we solve this equation for the acceleration:

\(a=\frac{F}{m}\)

and we substitute the known values:

\(a=\frac{60N}{20kg} \\\\a=3m/s^2\)

the acceleration of the load is: \(3m/s^2\)

Answer:

a.

Step-by-step explanation:

By definition, the constant of proportionality is a constant ratio of two variables that are proportional. So the answer is a . The constant ratio of one variable quantity to another to which it is proportional (or the Unit Rate).

Answer:

Step-by-step explanation:

20-degree angle

Answer:  8 days

Step-by-step explanation:

Given, At Sami's Shoe Warehouse, it takes 4 over 5 of a day to complete 1 over 10 of an order of sneakers.

i.e. \(\dfrac{4}{5}\) x  (1 day) = \(\dfrac{1}{10}\) x (an order of sneakers)

Multiply 10 on both the sides , we get

\(\dfrac{4}{5}\times10\) x  (1 day) = \(\dfrac{1}{10}\times10\) x (an order of sneakers)

⇒\(4\times2\) x  (1 day) = an order of sneakers

⇒\(8\) x  (1 day) = an order of sneakers

i.e. Time to complete an order of sneakers = 8 days

Hence, it will take 8 days to complete the entire order of sneakers.

Answer: 8 days total

Step-by-step explanation:

Answer:

3 1/8

Step-by-step explanation:

1. You can add the 2 halves together making 1

2. Then add a 3/4 and one 1/4 together making another 1

3. With the remaining two 1/4s, that makes another half. So at the moment, you have 2 1/2

4. Convert 2 1/2 to eighths. 2 4/8

5. Finally add one 5/8.

So the answer is 3 1/8

Jill drinks \(\rm 3\dfrac{1}{8} gallons\) of water in a week.

A Line plot can be defined as a graph that displays data as points or check marks above a number line, showing the frequency of each value.

It is given in the question that Jill drinks

1/4 gallons for 3 days

1/2 gallons for 2 days

5/8 gallons for 1 day

and 3/4 gallons for 1 day

The total amount of water Jill drinks is

(1/4)*3+(1/2)*2+(5/8)*1+(3/4)*1

=(3/4)+1+(5/8)+(3/4)

=25/8

\(\rm = 3\dfrac{1}{8} gallons\)

Therefore Jill drinks \(\rm 3\dfrac{1}{8} gallons\) of water in a week.

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