Mike has $40, which is $6 more than twice the amount of money that Karly has. How much money does Karly have?

Answer: Approximately 5.22%

========================================================

Work Shown:

A = true value = 13.4 seconds

B = measured value (erroneous value) = 14.1 seconds

C = percent error

C = [ (B-A)/A ] * 100%

C = [ (14.1-13.4)/(13.4) ] * 100%

C = 0.0522 * 100%

C = 5.22%

This value is approximate.

The dimensions of the garden would be length = 28 meters and width = 9.5 meters.

What are quadratic equations?

A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, and b, are the coefficients, c is the constant term, and x is the variable. Since the variable x is of the second degree, there are two roots or answers for this quadratic equation.

Let the width be = w

Let the length be = L

enclose three side ( 2w+L) = 47 meter

L = 47-2w

Area of field = w*L

Area = w(47 - 2w)

266  = 47w - 2w²

2w² - 47w + 266 = 0

Solving this, we get

w = 14 or w = 9.5

The width should be less than the length so w = 9.5
Length = 47 - 2(9.5)

            = 47 - 19

            = 28 meters.

Hence, the dimensions of the garden would be length = 28 meters and width = 9.5 meters.

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Considering the definition of an inequality, Dan can buy a number of notebooks of 13.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "x" the number of notebooks Dan can buy, the inequality that expresses the previous relationship is

32 + 2.50x ≤ 65

Solving:

2.50x ≤ 65 - 32

2.50x ≤ 33

x ≤ 13.2

Finally, Dan can buy 13 notebooks.

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Equation of the line:

y = 4x – 4

Slope: 4

Answer:

+4

Step-by-step explanation:

Slope is Rise over Run or the difference in the y values over the difference in the x values.

Rise = difference between 4 and 8 = 4

Run = difference between 2 and 3  = 1

So your slope is 4 and since the line slants upward from left to right, the slope is positive.

Answer:

B

Step-by-step explanation:

The equation of the ellipse is: [(x - 1)^2 / 81] + [(y - 4)^2 / 4] = 1 .To find the equation of an ellipse, we need to determine the coordinates of the center, the lengths of the major and minor axes, and the orientation of the ellipse.

Given that the center of the ellipse is (1, 4), the x-coordinate of the center is 1, and the y-coordinate of the center is 4.

The distance between the center and each vertex represents the length of the major axis. In this case, the distance between the center (1, 4) and one vertex (10, 4) is 10 - 1 = 9 units. Therefore, the length of the major axis is 2 * 9 = 18 units.

The distance between the center and each co-vertex represents the length of the minor axis. In this case, the distance between the center (1, 4) and one co-vertex (1, 2) is 4 - 2 = 2 units. Therefore, the length of the minor axis is 2 * 2 = 4 units.

Since the major axis is horizontal (parallel to the x-axis) and the minor axis is vertical (parallel to the y-axis), the equation of the ellipse can be written as:

[(x - h)^2 / a^2] + [(y - k)^2 / b^2] = 1

where (h, k) represents the center of the ellipse, a represents half the length of the major axis, and b represents half the length of the minor axis.

Substituting the values, we have:

[(x - 1)^2 / 9^2] + [(y - 4)^2 / 2^2] = 1

Simplifying further, the equation of the ellipse is:

[(x - 1)^2 / 81] + [(y - 4)^2 / 4] = 1

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Answer:

The answer is a since non of the other answer would go throught that point

Hope This Helps!!!

Answer:

The area is 45 inches

Step-by-step explanation:

L×W=A

The expansion of the function f = y'x + x'z with respect to x yields (x + y')(x + z'), and the expansion with respect to y gives (x' + y)(x + z').

(a) To expand the function f = y'x + x'z with respect to x, we use the distributive property and apply De Morgan's law to simplify the expression:

f = y'x + x'z

  = x'y + x'z

  = (x'y)'(x'z)'    [Using De Morgan's law]

  = (x + y')(x + z')   [Using De Morgan's law again]

(b) Designing the function using a 2-to-1 multiplexer for the case of expanding f with respect to x involves using the inputs x, y, and z as the select lines of the multiplexer. The inputs x + y' and x + z' will be connected to the data inputs of the multiplexer, and the output of the multiplexer will be the expanded function f.

(c) Similarly, for expanding f with respect to y, the expansion is:

f = y'x + x'z

  = xy' + x'z

  = (xy')'(x'z)'    [Using De Morgan's law]

  = (x' + y)(x + z')   [Using De Morgan's law again]

For this case, the inputs x', y, and z will serve as the select lines of the 2-to-1 multiplexer. The inputs x' + y and x + z' will be connected to the data inputs, and the output of the multiplexer will represent the expanded function f.

In both cases, the 2-to-1 multiplexer is used to implement the logic function by selecting the appropriate data inputs based on the select lines, which are derived from the expansion of the function with respect to the corresponding variable.

In conclusion, the expansion of the function f = y'x + x'z with respect to x yields (x + y')(x + z'), and the expansion with respect to y gives (x' + y)(x + z'). By utilizing 2-to-1 multiplexers, the expanded functions can be designed by connecting the appropriate data inputs to the multiplexer based on the select lines derived from the expansions. This allows for the implementation of the logic functions using multiplexers, providing a compact and efficient circuit design.

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The solution of the given differential equation 3(dy(t))/dt + 2y(t) = 5 is y=-4/3*exp(-2/3*t)+5/3.

y(0)= -1

a). Using the dsolve command for solving the given differential equation:

To find the solution using dsolve command, we will follow these steps:

Write the differential equation as

yprime=−23y+53.

Give initial conditions as y(0) = −1.

Use dsolve command to solve the differential equation and get the solution.

Using these steps, the solution of the given differential equation is given by:

y=−43exp(−23t)+53.

The following command is used to plot the solution in MATLAB:

t=0:0.1:5;

y=-4/3*exp(-2/3*t)+5/3;

plot(t,y)

This question was related to solving a differential equation using various methods in MATLAB. The three methods discussed above are dsolve command, an anonymous function, and function m file. All three methods gave the same solution and plot for the given differential equation.

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The value of f(5) in the function below is 8. (option-a)

The function `f(x) = 1/2*x` means that the output `f(x)` is equal to half of the input `x`.

To find `f(5)`, we substitute `5` for `x` in the function:

`f(5) = 1/2*5 = 5/2`

Therefore, the value of `f(5)` is `5/2`, which is an irrational number, and the answer is not listed among the options provided.

However, if we assume that the answer choices contain errors and we are asked to find the closest listed approximation to `5/2`, we can use commonly known approximations such as 3.14 for π to evaluate:

`5/2 ≈ 2.5`

The closest listed answer choice is option A, which approximates `2.5` to `8`. While this is not the exact value of `f(5)`, it is the closest listed approximation to `5/2`. (option A)

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According to the question The volume of the solid obtained by rotating the region about the \($y$\)-axis is \($0$\).

To find the volume of the solid obtained by rotating the region bounded by the curves \(x = 6 - 3y$, $x = 0$, and $y = 3$\) about the \($y$\)-axis, we can use the method of cylindrical shells.

The height of each cylindrical shell is the difference between the two curves, which is given by \($(6 - 3y) - 0 = 6 - 3y$\)

The radius of each cylindrical shell is the distance from the \($y$\)-axis, which is simply \($y$\).

The differential volume of each cylindrical shell is then given by \(dV = 2\pi y(6 - 3y) \, dy$.\)

To find the total volume, we integrate the differential volume from \(y = 0$ to $y = 3$:\)

\($V = \int_{0}^{3} 2\pi y(6 - 3y) \, dy$\)

To solve the integral, let's integrate the expression step by step:

\($V = \int_{0}^{3} 2\pi y(6 - 3y) \, dy$\)

Expanding the expression, we have:

\($V = \int_{0}^{3} 12\pi y - 6\pi y^2 \, dy$\)

Integrating term by term, we get:

\($V = \left[6\pi \left(\frac{1}{2}y^2\right) - 2\pi \left(\frac{1}{3}y^3\right)\right] \bigg|_{0}^{3}$\)

Simplifying further:

\($V = \left[3\pi y^2 - \frac{2}{3}\pi y^3\right] \bigg|_{0}^{3}$\)

Plugging in the limits of integration:

\($V = \left[3\pi \cdot 3^2 - \frac{2}{3}\pi \cdot 3^3\right] - \left[3\pi \cdot 0^2 - \frac{2}{3}\pi \cdot 0^3\right]$\)

Simplifying:

\($V = \left[27\pi - 27\pi\right] - \left[0 - 0\right]$\)

\($V = 0$\)

Therefore, the volume of the solid obtained by rotating the region about the \($y$\)-axis is \($0$\).

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Answer:

k=3

Step-by-step explanation:

Answer:

-2.5x+2

I hope this is good enough:

y-intercept is at positive 2 so you would have +2

it has a negative slope because it is going downwards

on the graphing calculator I used 2 wasn't big enough to make the x intercept and 3 was to big so I went in the middle and it looked correct.

The best estimate for the total amount of time Tim would spend answering e-mails over the course of 100 days is 100 hours with a standard deviation of 0.53 hours.

To find the total amount of time Tim would spend answering emails over the course of 100 days, we need to use the concept of the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approaches a normal distribution regardless of the underlying distribution.

To calculate the standard deviation of the total amount of time Tim spends answering emails over 100 days, we can use the formula:

standard deviation = square root of (n * variance)

where n is the number of days and variance is the variance of the amount of time Tim spends in a day answering emails.

Substituting the values, we get:

standard deviation = square root of (100 * 0.0028) = 0.53 hours

Therefore, Tim would spend an average of 100 hours over the span of 100 days responding to emails, with a standard deviation of 0.53 hours, according to the best estimate.

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Answer:A

Step-by-step explanation:

The equation contains a value of n that should NOT be placed in the shaded region of the Venn diagram is -2n= 4.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

As, From the Venn Diagram and Also we know that Natural numbers can't support Negative integer and Zero

So, equation contains a value of n that should NOT be placed in the shaded region of the Venn diagram

-2n = 4

n= -4/2

n= -2, which cannot be natural number.

Hence, equation contains a value of n that should NOT be placed in the shaded region of the Venn diagram is -2n= 4.

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Answer: 17+3x

Step-by-step explanation:

7(3 + x) - 4(x + 1)=

21+7*x-4x+(-4*1)=     ==> Distribution Property

21+7x-4x+(-4)=

21+3x-4=

21-4+3x=17+3x

Investment B provides a higher value in comparison to Investment A.

Given that Investment A: A monthly investment of $200 starting now and lasting for 40 years at a 9% annual interest rate, compounded monthly.

Investment B: A monthly investment of $400 starting in 20 years and lasting for 20 years at a 9% annual interest rate, compounded monthly.

To Find Investment A (The present value of annuity due)

PVAD=PMT*(((1-(1+r)^-n)/r)*(1+r))

Here, PMT=$200,

r=0.75%

= (9/12)% monthly interest rate,

n=40*12

months=480P

VAD=$200*(((1-(1+0.75%)^-480)/(0.75%))*(1+0.75%))

= $67,933.50

Investment B (The present value of annuity)

PVA= PMT*(((1-(1+r)^-n)/r))

Here, PMT=$400,

r=0.75%

= (9/12)% monthly interest rate,

n=20*12

=240 months

PVA=$400*(((1-(1+0.75%)^-240)/(0.75%)))

= $69,354.54

∴ Investment B provides a higher value in comparison to Investment A.

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Answer:

side DA = side CB = slope is Undefined

side DC = side AB = slope is 0

Step-by-step explanation:

To find the slope we use the following

m = \(\frac{(y2 - y1)}{(x2 - x1)}\)

The slope for side DA is the same as side CB; also their value for x value will be the same on the line; leaving the bottom of the slope equation at 0.

That means that side DA = side CB = slope Undefined

The slope for side DC is the same as side AB; also their value for y value will be the same on the line; leaving the top of the slope equation at 0.

That means that side DC = side AB = slope 0

The probability is 0.0132.

Here we have mean and standard deviations for air samples from large cities.

According to large samples, the law sample average calculated from large samples is approximately equal to the population average.  

As here sample is taken from a large city, the sample is considered a large sample. Hence mean is approximately equal to the population mean. Also, it is considered a random sample is representative of the population and the sample standard deviation is approximate to the population standard deviation. Hence we can say that carbon monoxide concentrations in air samples from this city are normally distributed.

So here we have

μ = 12

σ = 9 , n = 100

Hence here we need to find,

= p (x > 14)

= p((x-μ /(σ/√n)) > 14-12/9/√100)

= p ( z > 2.22 )

= 1 - p ( z < 2.22 )

= 1 - 0.9868 (using excel formula = norm.s.dist(2.22,1))

= 0.0132

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Answer:

m<ACB=1/2 of m<AOB

so m<ACB=45⁰÷2

m<ACB=22.5⁰

I HOPE IT HELPS HAVE NICE DAY!

Answer:

m<ACB=22.5° [as inscribed angle is half to the central angle]

The standard error of the slope coefficient is 4.38, which is option c.

The standard error of the slope coefficient can be calculated using the formula:

standard error = (standard deviation of residuals) / sqrt(sum of squared deviations from mean of explanatory variable)

Since we don't have the standard deviation of residuals or the sum of squared deviations from mean of explanatory variable, we can use the t-statistic and degrees of freedom to find the standard error from a t-table or calculator. For this problem, with a t-statistic of 4.38 and 1 degree of freedom (since there is only one explanatory variable), we can find the standard error as follows:

standard error = t-value / square root of degrees of freedom
standard error = 4.38 / sqrt(1)
standard error = 4.38

Therefore, the standard error of the slope coefficient is 4.38, which is option c.

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The standard error of the slope coefficient is 0.52. The standard error of the slope coefficient can be calculated using the formula:

Standard Error = (Standard Deviation of Residuals) / √ (Sum of Squares of x - mean of x)

However, since the standard deviation of residuals and the sum of squares of x - mean of x are not given in the question, we need to use the t-statistic and the degrees of freedom (df) to find the standard error. The t-statistic for the slope coefficient is given as 4.38, which has a p-value of less than 0.01 (assuming a two-tailed test and a significance level of 0.05). This means that the slope coefficient is significantly different from zero at the 99% confidence level.

The formula for the t-statistic is:
t = (slope coefficient - null hypothesis value) / standard error

We can rearrange this formula to solve for the standard error:
standard error = (slope coefficient - null hypothesis value) / t

Assuming the null hypothesis is that the slope coefficient is zero (i.e., no relationship between STR and test score), the null hypothesis value is 0. Using the t-statistic of 4.38, we can calculate the standard error as: standard error = (-2.28 - 0) / 4.38 = -0.52

However, we need to take the absolute value of the standard error, since it cannot be negative. Therefore, the answer is: a. 0.52

Therefore, the standard error of the slope coefficient is 0.52.

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Answer:

1173

Step-by-step explanation:

Solved on delta

Answer:

A.

81π

Step-by-step explanation:

PLEASE MAKE IT BRAINLIEST

PLEASE FOLLOW....

a) The size of the sample space is the total number of possible outcomes. In this case, the sample space consists of rolling a ten-faced die and drawing a card from a standard deck, resulting in a sample space of 10 * 52 = 520 outcomes.

b) The probability of event A, which is rolling a 10 and then drawing the Ace of spades, can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

c) The probability of rolling a number smaller than 9 and then drawing the Ace of spades can be determined similarly.

a) Since there are 10 possible outcomes when rolling the die and 52 possible outcomes when drawing a card, the total number of outcomes in the sample space is 10 * 52 = 520.

b) To find the probability of event A, we need to determine the number of favorable outcomes. There is only one outcome where you roll a 10 and then draw the Ace of spades. Therefore, P(A) = 1/520.

c) The probability of rolling a number smaller than 9 and then drawing the Ace of spades depends on the favorable outcomes in the sample space. There are 8 possible outcomes when rolling a number smaller than 9, and only one favorable outcome when drawing the Ace of spades. So, P(rolling <9 and drawing Ace of spades) = (8/10) * (1/52) = 2/65.

d) The probability of rolling the number 10 and then drawing a card of spades is calculated in a similar manner. There is one favorable outcome for rolling a 10 and 13 favorable outcomes for drawing a spade. Thus, P(rolling 10 and drawing spade) = (1/10) * (13/52) = 1/40.

e) The probability of rolling a number smaller than 9 and then drawing a card of spades, or rolling anything and then drawing the Ace of spades, can be found by adding the probabilities of the individual events. P(rolling <9 and drawing spade or rolling anything and drawing Ace of spades) = (8/10 * 13/52) + (10/10 * 1/52) = 53/65.

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The product of (4 x 10⁶) ×  (2 x 10⁶) is 8 × 10⁶.

Scientific notation is similar to shorthand for writing extremely large or extremely small numbers. Rather than writing a number in decimal form, it is reduced to a number multiplied by ten.

Now, as per the given question;

The product of the given two number are-

= (4 x 10⁶) ×  (2 x 10⁶)

= 8 × 10⁶

Therefore, the scientific notation of the product of the give two numbers is 8 × 10⁶.

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The correct question is-

Find the product of (4 x 10⁶) and (2 x 10⁶). write the final answer in scientific notation. write the final answer in scientific notation.

Answer:

3

Step-by-step explanation:

The Absolute value of -3 is 3 because it's the distance away from 0. Both have the same distance away from 0.

The opposite number of the integer number negative 3 will be 3.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The number that produces zero when multiplied by an is known as the additive inverse of a number, or a, in arithmetic. The opposite, a shift in the sign, and negation are other names for this number.

The number is given below.

⇒ - 3

The opposite of the number negative 3 will be given as,

⇒ - (-3)

⇒ 3

The opposite number of the integer number negative 3 will be 3.

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Answer:

X can be anything below 4

Answer:

x should be 1,2, or 3

Step-by-step explanation:

because if you take 3x4 it would be 12 (the same) so that's wrong. so it would have to be lower than that