. What is 112,252
rounded to the nearest ten thousand?

Answer:

represents the balance of your savings account and h(t) represents the amount in your safe after t years. What does C(t) represent? $9000 deposit in a savings account that earns. Therefore, P = 9000 P=9000 P=9000 and r = 3.6 r=3.6 r=3.6% = 0.036 =C(5)= $13,172.05

Step-by-step explanation:

To calculate C(t), we need to divide the formula into two equations:

C(t) =b(t) +h(t)

b(t)= PV*(1+i)^n

n= number of months

i= monthly interest rate

PV= initial investment

h(t)= montlhy deposit* number of months

Now, for C(5); I assume its 5 years:

i= 0.036/12= 0.003

n= 5*12= 60

C(5)= 9,000*(1.003^60) + 40*60

C(5)= $13,172.05

0.036 =0.036.

The magnitude of the correlation coefficient, regardless of the sign, provides information about the strength of the linear relationship between variables.

The sample correlation coefficient, r, ranges between -1 and 1. A value of 1 or -1 indicates a perfect linear relationship, where all data points lie precisely on a straight line. On the other hand, a value close to 0 indicates a weak or no linear relationship.

In the given scenario, r = .40 indicates a moderate positive linear relationship. Although the correlation is not perfect (not equal to 1), it still suggests a moderate degree of association between the variables. The positive sign indicates that as one variable increases, the other tends to increase as well, but not necessarily in a strictly linear fashion.

On the other hand, r = -.60 indicates a stronger linear relationship, albeit in the negative direction. The negative sign signifies an inverse relationship, meaning that as one variable increases, the other tends to decrease, but again, not necessarily in a perfectly linear manner. The magnitude, which is the absolute value of the correlation coefficient, indicates a stronger relationship compared to r = .40.

Therefore, it is important to consider both the magnitude and the sign of the correlation coefficient to assess the strength and direction of the linear relationship between variables.

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All real values of a such that the given matrix is not invertible is -3.

To determine if a matrix is invertible, we can look at its determinant. A matrix is invertible if and only if its determinant is non-zero. Therefore, we need to find the values of a that make the determinant of matrix A equal to zero.

The determinant of matrix A is given by:

|A| = 0 1 a a 1 3 0 a 1 a

= 0(a(1)(1) - a(3)(1) + 1(0)) - 1(1(a)(1) - a(3)(0) + 1(0)) + a(1(3) - 1(0) + 0(a))

= -a + 3a + 3 - a

= a + 3

Therefore, the matrix A is not invertible when a = -3.

So the real value of a for which the matrix A is not invertible is -3.

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This means that the plant grow at a rate of 2.5 inches per day.

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the height of the plant after x days.

The height of the plant on the 2nd day she measured was 8 inches. It is given by:

The height of the plant on the 7th day she measured was 20.5 inches. It is given by:

The rate of change (m) is:

This means that the plant grow at a rate of 2.5 inches per day.

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Answer:  £ 3675.79

Step-by-step explanation:

A = P(1 + r)^t

A = final amount = x

P = initial principal balance = 3200

r = interest rate = 0.02

t = number of years elapsed = 7

x = 3200(1.02)^7

x = 3200 * 1.14868567

x = 3675.79414

x = 3675.79

Answer:

???????????????????

Step-by-step explanation:

Answer:

3.10E+10 (3.10 x 10 10)

Step-by-step explanation:

Answer: 80%

Step-by-step explanation:

or 85% but i think its 80%

Step-by-step explanation:

4in + 4in +4in +4in because 4× 4 is 16 but since you are finding perimeter it is addition

Answer:

Step-by-step explanation:

not sure 2

Answer:

4

Step-by-step explanation:

the more sections there are the less of a chance the same section ould be landed on so many times. Its almost impossible to land on one of 400 25 times

Answer:

106,275,100

Step-by-step explanation:

you say if 100= 25 what about 4 25 100 400

=106,275,100

Answer:Ax + By = C

-ax -ax

-------------------

By = -Ax + C

--- ------------

B B

--------------------

y = -Ax + C

----------

B

Step-by-step explanation:

Answer:

y=c/b-ax/b

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer: V = 378 i think

Step-by-step explanation:

Answer: 33

Step-by-step explanation: Hope this helps! :)

Answer:

-462 if the °° are 0's

Step-by-step explanation:

The outward flux of the vector field F(x, y, z) = x^2 i + y^2 j + z^2 k through the surface bounded by the equations x = 0, x = a, y = 0, y = a, z = 0, and z = a can be evaluated using the Divergence Theorem by calculating the triple integral of (2x + 2y + 2z) over the volume enclosed by the surface.

To evaluate the integral using the Divergence Theorem, we first need to calculate the divergence of the vector field F(x, y, z) = x^2 i + y^2 j + z^2 k.

The divergence of F, denoted as div(F), is given by:

div(F) = ∇ · F = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z

Taking the partial derivatives of F with respect to x, y, and z, we have:

∂Fx/∂x = 2x

∂Fy/∂y = 2y

∂Fz/∂z = 2z

Therefore, the divergence of F is:

div(F) = 2x + 2y + 2z

Now, we can apply the Divergence Theorem, which states that the flux of a vector field F through a closed surface S is equal to the triple integral of the divergence of F over the volume V bounded by S.

In this case, the surface S is defined by x = 0, x = a, y = 0, y = a, z = 0, and z = a, which encloses the volume V.

The outward flux of F through the surface S can be calculated as:

∫∫∫V div(F) dV

Since the volume V is defined by the bounds x = 0 to x = a, y = 0 to y = a, and z = 0 to z = a, the integral becomes:

∫∫∫V (2x + 2y + 2z) dV

To evaluate this integral, we need to set up the triple integral based on the given bounds and integrate over the volume V.

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The distance between the bird and its prey is 19 feet. The solution has been obtained by using trigonometry.

What is trigonometry?

The study of the sides, angles, and connections of the right-angle triangle is the main goal of the field of mathematics known as "trigonometry."

We are given that the angle on f depression between a bird and its prey is 70%.

This means that Theta = 70°

Also, the height of the bird from the ground is 18 feet.

Using trigonometry, we get

⇒sin theta = perpendicular side/hypotenuse

⇒sin 70 = 18/hypotenuse

⇒Hypotenuse = 18/sin 70

⇒Hypotenuse = 19.1 ≈ 19 feet

Hence, the distance between the bird and its prey is 19 feet.

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12. MATLAB code: `f = (-3*t.^2 + 5*t + 20).*(t < 0) + (3*t.^2 + 5*t).*(t >= 0)`

13. MATLAB function: `function random_values = UniGen(n, a, b); random_values = (b - a) * rand(n, 1) + a; end`

MATLAB code to calculate f(t) using the given equation:

t = -9:0.5:9; % Generate values of t from -9 to 9 in steps of 0.5

f = zeros(size(t)); % Initialize f(t) vector

for i = 1:numel(t)

   if t(i) < 0

       f(i) = -3*t(i)^2 + 5*t(i) + 20;

   else

       f(i) = 3*t(i)^2 + 5*t(i);

   end

end

% Display the results

disp('t    f(t)');

disp('--------');

disp([t' f']);

```

This code generates values of `t` from -9 to 9 in steps of 0.5 and calculates `f(t)` based on the given equation. The results are displayed in a tabular format showing the corresponding values of `t` and `f(t)`.

13. MATLAB function UniGen to generate uniformly distributed random values:

function random_values = UniGen(n, a, b)

   % n: Number of random values to generate

   % a: Start of the interval

   % b: End of the interval

   random_values = (b - a) * rand(n, 1) + a;

end

This MATLAB function named `UniGen` generates `n` random values that are uniformly distributed on the interval `[a, b]`. It utilizes the `rand` function to generate random values between 0 and 1, which are then scaled and shifted to fit within the specified interval `[a, b]`. The generated random values are returned as a column vector.

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The correct answer is d) n = 25.

To determine the number of subjects (n) in a repeated-measures research study given a t-statistic and degrees of freedom (df), we need to use the formula for calculating degrees of freedom in a paired t-test.

For a repeated-measures design, the degrees of freedom (df) is calculated as (n - 1), where n represents the number of subjects.

In this case, the given t-statistic has df = 24. Therefore, we can set up the equation:

df = n - 1

Substituting the given value, we have:

24 = n - 1

Solving for n:

n = 24 + 1

n = 25

Therefore, the correct answer is d) n = 25.

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a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.

a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:

TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)

Given:

DEPART = 0 (as he leaves on time at 6:30)

REDS = 0 (no red lights)

TRAINS = 0 (no trains to wait for)

Substituting these values:

TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)

    = -19.9166

Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.

b) The estimated coefficients of REDS and TRAINS in the regression model are:

1.3353 (REDS)

2.7548 (TRAINS)

Interpreting the coefficients:

- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.

- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.

c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.

Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.

Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.

We can use the t-test to test this hypothesis. The t-value is calculated as:

t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS

Given:

Coefficient of TRAINS = 2.7548

Hypothesized value = 3

Standard error of coefficient of TRAINS = 0.1390

t-value = (2.7548 - 3) / 0.1390

       = -0.2465 / 0.1390

       ≈ -1.7733

Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.

Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.

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Answer:

2,292/3 = x/12

Step-by-step explanation:

if you were to solve

2,292/3 finds you how many people per hour

and multiply that by 12 to find how many people for 12 hours.

Step-by-step explanation:

\(\frac{2292}{3} =\frac{x}{12}\)  

cross multiply divide.

x=9168

Rounded to four decimal places, the p-value is 0.0844.

To determine the p-value for this hypothesis test, we need to follow these steps:

Step 1: State the null and alternative hypotheses.

Null hypothesis: The percentage of readers who own a laptop is 26%.

Alternative hypothesis: The percentage of readers who own a laptop is different from 26%.

Step 2: Determine the test statistic.

We can use a z-test for proportions since we have a large enough sample size and we know the population proportion. The formula for the test statistic is:

z = (p - p) / √(p(1-p) / n)

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

Using the given values, we have:

z = (0.17 - 0.26) / √(0.26(1-0.26) / 100)

z = -1.72

Step 3: Determine the p-value.

Since this is a two-tailed test, we need to find the area in both tails of the standard normal distribution that corresponds to a z-score of -1.72. Using a table or a calculator, we find that the area in the left tail is 0.0422 and the area in the right tail is also 0.0422.

Therefore, the p-value is the sum of the areas in both tails:

p-value = 0.0422 + 0.0422

p-value = 0.0844

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Answer:

Square root of 77.44 = height and length of gray squares = 8.8 cm

Since there are 3 squares that make up the height of that object 8.8 cm * 3 =

26.4 cm (the height of  3 gray squares

Square root of 4.84 = 2.2 cm

So the total height = 26.4 + 2.2 = 28.6 cm

Step-by-step explanation:

Answer:

We need to see the graph in order to solve this.

Step-by-step explanation:

No graph

The dimensions of the garden that minimize the cost is 3.83 and 5.74.

Lets assume the garden has length L and width W and one Length has the brick wall.

L*W = 22 (area constraint)

C = 40 * L + 20 * L + 20 * W + 20 * W

= 60 * L + 40 * W

We need the equation in terms of just one variable, lets use L. We can use the area constraint to do this

W = 22/L (plug this into the C equation)

C(L) = 60*L + 40*(22/L)

= 60*L + 880/L

C(L) = 60*L + 880/L

now take the derivative and get

C'(L) = 60 - 880/L^2

now set that derivative = 0 to find the key L value where the min/max occurs (min in this case)

0 = 60 - 880/L^2

Solve for L,

L = ± (2 sqrt(11/3))

We only need the positive answer as negative length makes no sense here,

L = 3.83 (approximate)

We can now solve for W as well

W = 22/3.83 = 5.74

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Answer:

D

Step-by-step explanation:

Answer:

D)4.9 x 10^-4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

To answer this question, we need to use a system of equations. Let's call the number of pounds of type A coffee "a" and the number of pounds of type B coffee "b".

We know that Carmen made a total of 166 pounds of the blend, so:

a + b = 166

We also know that the total cost of the blend was $855.75. To find the cost, we need to multiply the cost per pound of each type of coffee by the number of pounds used:

4.5a + 5.95b = 855.75

Now we have two equations with two variables, which we can solve using substitution or elimination.

Let's use substitution. We can solve the first equation for "a":

a = 166 - b

Now we can substitute that into the second equation:

4.5(166 - b) + 5.95b = 855.75

749.5 - 4.5b + 5.95b = 855.75

1.45b = 106.25

b = 73

So Carmen used 73 pounds of type B coffee in the blend. To find out how many pounds of type A coffee she used, we can plug that value back into either equation:

a + 73 = 166

a = 93

Therefore, Carmen used 93 pounds of type A coffee and 73 pounds of type B coffee to make the blend

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To answer this question, we need to use a system of equations. Let's call the number of pounds of type A coffee "a" and the number of pounds of type B coffee "b".

We know that Carmen made a total of 166 pounds of the blend, so:

a + b = 166

We also know that the total cost of the blend was $855.75. To find the cost, we need to multiply the cost per pound of each type of coffee by the number of pounds used:

4.5a + 5.95b = 855.75

Now we have two equations with two variables, which we can solve using substitution or elimination.

Let's use substitution. We can solve the first equation for "a":

a = 166 - b

Now we can substitute that into the second equation:

4.5(166 - b) + 5.95b = 855.75

749.5 - 4.5b + 5.95b = 855.75

1.45b = 106.25

b = 73

So Carmen used 73 pounds of type B coffee in the blend. To find out how many pounds of type A coffee she used, we can plug that value back into either equation:

a + 73 = 166

a = 93

Therefore, Carmen used 93 pounds of type A coffee and 73 pounds of type B coffee to make the blend

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The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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Increase in the length of one side = 3.8 ft

Step-by-step explanation:

Yossi has garage whose area is 280 ft²

After rebuilt their is increment in area by 50%

New Area = 280 × 150% = 420 ft²

Also we know that Area of Square = (Length) × (Length)

⇒ Length of Newly built garage = √420 = 20.5 ft

and Length of Originally garage = √280 = 16.7 ft

⇒ Increase in the length of one side = 20.5 - 16.7 = 3.8 ft

HOPE THIS HELPS!!!!!!!!!!! !!!!!!!!!!!!!!