Help plz!!!! I will give brainliest!!
Caroline is going to invest in an account paying an interest rate of 5.2% compounded continuously. How much would Caroline need to invest, to the nearest dollar, for the value of the account to reach $940 in 6 years?

T A can be seen as a linear transformation from R^2 to R^3.

To find the range and codomain of the matrix transformation T A, we need to first determine the matrix T A . The matrix T A is obtained by multiplying the input vector x by A:

T A (x) = A x

Therefore, T A can be seen as a linear transformation from R^2 to R^3.

To determine the range of T A , we need to find all possible outputs of T A (x) for all possible inputs x. Since T A is a linear transformation, its range is simply the span of the columns of A. Therefore, we can find the range by computing the reduced row echelon form of A and finding the pivot columns:

A =  (\left[\begin{array}{cc}1 & 2 \ 1 & -2 \ 0 & 1\end{array}\right]) ~ (\left[\begin{array}{cc}1 & 0 \ 0 & 1 \ 0 & 0\end{array}\right])

The pivot columns are the first two columns of the identity matrix, so the range of T A is spanned by the first two columns of A. Therefore, the range of T A is the plane in R^3 spanned by the vectors [1, 1, 0] and [2, -2, 1].

To find the codomain of T A , we need to determine the dimension of the space that T A maps to. Since T A is a linear transformation from R^2 to R^3, its codomain is R^3.

If the functions were not linear, it would not make sense to talk about their range or codomain in this way. The concepts of range and codomain are meaningful only for linear transformations.

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Answer:

Step-by-step explanation:

8 t-shirts and a hat cost £42.00

3 t-shirts and a hat cost £17.00.

difference

5 t-shirts cost $25

1 t-shirt cost $5

3 t-shirts cost $15

3 t-shirts and a hat cost £17.00.

difference

hat costs $2

Answer:

yo

Step-by-step explanation:

Answer:

3 because you always know your answer by the smalest number which has a digit of 3

Step-by-step explanation:

Measures of centre are used to describe the typical or average value of the data, while measures of spread describe the variability or dispersion of the data around the centre. Some common measures of centre and spread include:

Mean: the arithmetic average of the data. It is appropriate for symmetric distributions without outliers.

Median: the middle value of the data. It is appropriate for skewed distributions and distributions with outliers.

Mode: the most common value in the data. It is appropriate for distributions with a prominent peak or mode.

Range: the difference between the maximum and minimum values in the data. It is appropriate for describing the spread of the data, but it can be influenced by outliers.

Interquartile range (IQR): the range of the middle 50% of the data, from the 25th percentile (Q1) to the 75th percentile (Q3). It is appropriate for describing the spread of the data, and it is less influenced by outliers than the range.

Standard deviation: a measure of the average distance of the data from the mean. It is appropriate for symmetric distributions without outliers, and it is used to describe the spread of the data in the context of the mean.

The choice of which measures to use depends on the characteristics of the distribution and the goals of the analysis.

In general, it is important to consider multiple measures of centre and spread in order to obtain a complete understanding of the distribution of the data.

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Answer:

m = 160

p = 90

w = 10

z = 80

y = 10

Step-by-step explanation:

All the solution of angles are,

⇒ ∠ p = 90°

⇒ ∠y = 20°

⇒ ∠ z = 70°

⇒ ∠ m = 90°

⇒ ∠ w = 70°

We have to given that,

A rhombus shown in image.

Since, Properties of a rhombus,

The sum of interior angles of a rhombus adds up to 360 degrees.

The opposite angles of a rhombus are equal to each other.

The adjacent angles are supplementary.

In a rhombus, diagonals bisect each other at right angles.

The diagonals of a rhombus bisect these angles.

Hence, We get;

⇒ ∠ p = 90°

⇒ ∠y = 20°

⇒ ∠w = 90° - ∠y

⇒ ∠w = 90° - 20° = 70°

⇒ ∠ z = 70°

⇒ ∠ m = 90°

Therefore, All the solution of angles are,

⇒ ∠ p = 90°

⇒ ∠y = 20°

⇒ ∠ z = 70°

⇒ ∠ m = 90°

⇒ ∠ w = 70°

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Answer:

P = Rs2500

Step-by-step explanation:

Given that,

Amount, A = Rs 3025

Rate, r = 10%

Let time, t = 2 years

We need to find the sum if the amount is compounded annually. Using the formula of compound interest.

\(A=P(1+\dfrac{r}{100})^n\\\\P(1+\dfrac{10}{100})^2=3025 \\\\P(1.21)=3025\\\\P=\dfrac{3025}{1.21}\\\\P=\text{Rs}\ 2500\)

So, the sum of money is Rs 2500.

Answer:

it would be negative (-8)

Step-by-step explanation:

-5.8 + -2.2 = -5.8 - 2.2

this would result in a negative number (-8)

Answer:

D.

Step-by-step explanation:

The solution to your systems of equations are when the 2 lines intersect.

Answer:

c ,3,1

Step-by-step explanation:

Answer:

\(2\sqrt{14}\)

D.

Step-by-step explanation:

10 in half is 5

\(b = \sqrt{c^{2} - a^{2} }\)

b = \(\sqrt{81 - 25}\) = \(\sqrt{56}\) = \(2\sqrt{14}\)

The integral of c * e^(-|x|) dx over the entire real line is 2c, not equal to 1.

To determine whether the set function given by the integral of c * e^(-|x|) dx is a probability set function, we need to examine its properties.

The integral of c * e^(-|x|) dx exists if the function is integrable over its domain. In this case, the domain is the set of all real numbers. The absolute value function in the exponent indicates that the integrand is not continuous at x = 0, which raises concerns about the integrability.

To assess the probability set function properties, we need to confirm if the integral of c * e^(-|x|) dx over the entire real line equals 1. This condition ensures that the set function satisfies the normalization requirement for a probability set function.

Let's calculate the integral of c * e^(-|x|) dx over the entire real line:

∫(-∞ to +∞) c * e^(-|x|) dx

Since the integrand is an even function, we can simplify the integral:

2 * ∫(0 to +∞) c * e^(-x) dx

Applying integration, we get:

2 * [-c * e^(-x)] (0 to +∞)

= 2 * (-c * e^(-∞) - (-c * e^0))

Since e^(-∞) approaches 0, the integral becomes:

2 * (-c * 0 - (-c * 1))

= 2 * (0 + c)

= 2c

Therefore, the integral of c * e^(-|x|) dx over the entire real line is 2c, not equal to 1.

Since the integral does not equal 1, the set function defined by the integral of c * e^(-|x|) dx is not a probability set function.

To make it a probability set function, we need to ensure that the integral over the entire real line equals 1. To achieve this, we can multiply the integrand by the constant 1/2c. This would make the modified set function satisfy the normalization requirement:

∫(-∞ to +∞) (1/2c) * c * e^(-|x|) dx = (1/2c) * 2c = 1

By multiplying the integrand by 1/2c, the resulting set function would satisfy the properties of a probability set function.

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Answer:

4x^2 + 9x + 23

Step-by-step explanation:

just factor the last equation and combine them all.

wAnswer:

e

Step-by-step explanation:

Answer:426.6

Step-by-step explanation:

.138 x =.088(x - 69.7) + .394(69.7)

.138 x -  .088x = 69.7(.394 - .088)

.05x = 21.3282

/

x = 426.564

This rounds to x = 426.6

The probability a student spins purple will be 25%.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of samples

Given that Mr. Hesch has 4 stations set up in his classroom. Each station is labeled with a color: blue, purple, green, or yellow. As each student enters the classroom, they spin the spinner to decide at which station they will start.

The probability will be calculated as:-

Probability = Probability = Number of favorable outcomes / Number of samples

Probability = 1 / 4

Probability = 0.25 or 25%

Hence, the probability will be 25%.

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The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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:

For the angle J in this problem, we have that:

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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Answer:

c

Step-by-step explanation:

The expense of producing 3,500 rackets can be calculated as follows:

Total expense = Fixed expenses + Variable expensesFixed expenses = $78,490Variable expenses = $14 per racket produced x 3,500 rackets = $49,000Total expense = $78,490 + $49,000Total expense = $127,490Therefore, the expense of producing 3,500 rackets is $127,490, which is option (c).

Answer: \(\frac{n^{2} }{n+1}\)

Step-by-step explanation:

The numerator (top digit) are squares. For example,

1 is \(1^{2}\)

4 is \(2^{2}\)

9 is \(3^{2}\)

and so on.

The bottom digit increases by one.

Therefore, the Nth term would be that number (N) squared on the numerator, and n+1 on the denominator.

Answer:

2 A"s

Step-by-step explanation:

You take 80-30 and are left with 50 so you divide that by 25 and get 2

On solving the provided question we can say that - as the probability the result will be either a red- or green-colorblind individual.

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1.

In the US, there are more males than women who are colorblind to red and green  = 0.07adults

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Answer:

4.5

Step-by-step explanation:

Answer:

answer 52.5

Step-by-step explanation:

you multiply 3.5 by 15 and then you get 52.5 i took the test and i got an 100 on it you can too

As the sample size increases, the standard error of the proportion decreases. This means that the precision of the sample proportion as an estimate of the population proportion improves with larger sample sizes.

The standard error of the proportion, you can use the following formula:

Standard Error (SE) = √(p(1-p)/n)

where p is the population proportion and n is the sample size.

For n = 100:
SE = √(0.57 × (1-0.57) / 100) = √(0.2451 / 100) = 0.0495

For n = 200:
SE = √(0.57 × (1-0.57) / 200) = √(0.2451 / 200) = 0.0350

For n = 500:
SE = √(0.57 × (1-0.57) / 500) = √(0.2451 / 500) = 0.0221

For n = 1000:
SE = √(0.57 × (1-0.57) / 1000) = √(0.2451 / 1000) = 0.0156

Therefore, As the sample size increases, the standard error of the proportion decreases. This means that the precision of the sample proportion as an estimate of the population proportion improves with larger sample sizes.

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Answer:

Step-by-step explanation:

11/4 <3

Answer:

11/4

Step-by-step explanation:

Hope this helps!

Answer:

The answer is ≈3 to the nearest whole number

Step-by-step explanation:

using SOH CAH TOA

BCA

sin0=opp/hyp

sin0=7.9/11

0=sin‐¹(7.9/11)

0=46 to the nearest degree

<A=<D

so,<EDF=46°

tan0=adj/hyp

tan46=x/3.3

x=tan46×3.3

x=3 to the nearest whole number

I've just removed the parentheses, right?

28-(8 + 4)* (4-2)

28-(12)*(2)

28-12, 2

16* 2

32

Result : 32

Program State Model describes a precise mathematical description of the semantics of an executing program.

This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.

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Answer:

Given: △ABC, m∠B=90° AB=12, BC=16, BK ⊥ AC . Find: AC and BK.

Given: △ABC, m∠B=90°

Find: AC and BK.

Short leg 90 degrees Long leg Hypotenuse

AB=12 90 BC=16 AC= ?

AK = ? 90 BK = ? AB=12

AC = SQRT (AB*AB + BC*BC) = 20 [right triangle; Pythagorean Theorem]

Similar triangles:[Note: In diagram, share two angles. Therefore share three angles]

BK / 16 = AB / AC

BK / 16 = 12 / 20

BK = (3/5)16

BK = 48/5

another answer let see this

AB^2+BC^2=AC^2

12^2+16^2=AC^2

144+256=AC^2

400=AC^2

20=AC

# be careful#

ΔABC and ΔBKC are similar triangles, the missing measures are:

If two triangles are similar, their corresponding sides are proportional to each other.

When a segment of a right triangle intersects the hypotenuse, the triangles formed are similar to each other.

Thus, using Pythagorean Theorem:

AC = √(AB² + BC²)

Substitute

AC = √(12² + 16²)

AC = 20 units.

Find BK:

ΔABC ~ ΔBKC (similar right triangles)

Thus:

AB/BK = AC/BC

Substitute

12/Bk = 20/16

Cross multiply

BK = (16 × 12)/20

BK = 9.6

Therefore, ΔABC and ΔBKC are similar triangles, the missing measures are:

AC = 20 units

BK = 9.6 units.

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Answer:

They would need 24 pints of chocolate to make 6 boxes of candy