Find -3/7 divided by -15/1

Answer:

Step-by-step explanation:

Answer: 34 pi

Step-by-step explanation: I took the test

Answer:

approx 58 yard we can determine it by pithagoras theorem

The resistance is 540 ohms, the current in the conductor is approximately 5.33 amperes.

According to the given information, the current in an electrical conductor varies inversely to the resistance of the conductor. Inverse variation can be represented mathematically as follows:

Current * Resistance = Constant

Let's denote the constant as 'k'. We can use the initial values to find the value of 'k'.

When the resistance is 240 ohms and the current is 12 amperes:

12 * 240 = k

k = 2880

Now that we have the value of 'k', we can use it to find the current when the resistance is 540 ohms:

Current * 540 = 2880

Current = 2880 / 540

Current ≈ 5.33 amperes

Therefore, when the resistance is 540 ohms, the current in the conductor is approximately 5.33 amperes.

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Answer:

2y

Step-by-step explanation:

Since 17y and 15y both have a y, you can combine it. You can subtract 17-15 to get 2, so the answer is 2y.

\(y = a*2^x\) is the exponential function that represents the given data.

As the quantity of mould spores doubles every hour, the growth of the mould provides an illustration of exponential growth. The form of an exponential function is:

\(y = a*b^x\)

When a represents the starting value, b represents the growth factor (which in this case is equal to 2 because the number of spores doubles every hour), and x is the time variable (in this case, the number of hours).

Thus, the exponential function shown below may be used to model the growth of the mould:

\(y = a*2^x\)

where x is the number of hours and y is the number of spores. The starting number of spores at time 0 is represented by the value of "a" in this exponential growth function.

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Answer:

A

Step-by-step explanation:

With function transformation, added/subtracted numbers outside of the x always mean the function is being translated up/down. In this case, since the 2 is being replaced with a 4, the new function is 2 units higher than the previous function.

Answer:

Step-by-step explanation:

Using the expression for calculating the sum of an AP as:

Tn = Sn - Sn-1

When n = 10

T10 = S10 - S9

Given that;

Sn = n²-3n

S10 = 10²-3(10)

S10 = 100 - 30

S10 = 70

S9 = 9² - 3(9)

S9 = 81 - 27

S9 = 54

Substitute the given values

T10 = S10 - S9

T10 = 70 - 54

T10 = 16

Hence the 10th term of the sequence is 16

Answer:

12.5, 11, 9.5, 8, 6.5, 5, ... 4. an = 14 − 1.5n

Step-by-step explanation:

Answer:

47.50

Step-by-step explanation:

According to the question above Salid bought 30 feet of window at a hardware trim store

The trim cost of each window is $1.75 per foot with an inclusion of sales tax added to this amount

= $1.75×30

= 52.5

Since Salid paid for the trim service with a cash of $100.00, his change is calculated as follows

=$100-52.5

= $47.50

Hence Salid change is $47.50

Answer:

The answer is 3,600,000,000

Step-by-step explanation:

Simply multiply 9,000,000 * 400 which equals 3,600,000,000.

Answer:

The center of a circle is the point in the circle which is equidistant to all the edges of thr circle. The point a is the center, while point b is an arbitrary point in the circle. Find attachment for the diagram.

Answer:

y=-2x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-1)/(2-0)

m=-4/2

m=-2

y-y1=m(x-x1)

y-1=-2(x-0)

y=-2(x)+1

y=-2x+1

Answer:

A Conditional Statement

Answer:

Conditional would have that form.

The solutions to the nearest tenth are x = -0.1 and x = 1.3

From the question, we have the following parameters that can be used in our computation:

5x² - 2x - 1 = 4x

Evaluate the like terms

So, we have

5x² - 6x - 1 = 0

Next, we solve using a graph

The graph of 5x² - 6x - 1 = 0 is added as an attachment

From the attached graph, we can see that the curve intersects with the x-axis at x = -0.1 and x = 1.3

This means that the solutions are x = -0.1 and x = 1.3

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Answer:

The solutions to the equation 5x^2-2x-1=4x to the nearest tenth are x ≈ 1.3 or x ≈ -0.4.

Step-by-step explanation:

To solve the equation 5x^2-2x-1=4x to the nearest tenth, we can start by moving all the terms to one side of the equation.

5x^2-2x-1=4x

5x^2-6x-1=0

Next, we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 5, b = -6, and c = -1.

Plugging these values into the formula gives:

x = (-(-6) ± sqrt((-6)^2 - 4(5)(-1))) / 2(5)

x = (6 ± sqrt(56)) / 10

Answer:

B and C are correct

Step-by-step explanation:

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

3.1.1 The basic property of operations used is the commutative property of multiplication.

3.1.2 The basic property of operations used is the additive inverse property.

3.1.3 The basic property of operations used is the associative property of addition.

3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.

3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.

3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.

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The value of the probability is P(Large or Blue) = 7/10

The given parameters are represented on the table

Using the table parameters, we have

P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total

This gives

P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)

This gives

P(Large or Blue) = 28/40

Simplify

P(Large or Blue) = 7/10

Hence, the value of the probability is P(Large or Blue) = 7/10

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The combinations with repetition are allowed is 330

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the items is not fixed.

Given that, we need to find the number of combinations with repetition are allowed if n = 8 and r = 4

Combinations with repetition = C'(n, r) = (r+n-1)! / (r!(n-1)!)

= (8+4-1)! / 4!(8-1)!

= 11! / 4!7!

= 330

Hence, the combinations with repetition are allowed is 330

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Answer:

\(\frac{4}{5}\)

0.8

Step-by-step explanation:

Happy to help:)

Answer:

\(f^{-1}(x)= \dfrac{1}{2}\ln \left(-\dfrac{x^2}{x^2-1}\right), \quad \textsf{for}\:\{x:0 < x < 1\}\)

Step-by-step explanation:

Given function:

\(f(x)=\dfrac{e^x}{\sqrt{e^{2x}+1}}\)

The domain of the given function is unrestricted:  {x : x ∈ R}

The range of the given function is restricted:  {f(x) : 0 < f(x) < 1}

To find the inverse of a function, swap x and y:

\(\implies x=\dfrac{e^y}{\sqrt{e^{2y}+1}}\)

Rearrange the equation to make y the subject:

\(\implies x\sqrt{e^{2y}+1}=e^y\)

\(\implies x^2(e^{2y}+1)=e^{2y}\)

\(\implies x^2e^{2y}+x^2=e^{2y}\)

\(\implies x^2e^{2y}-e^{2y}=-x^2\)

\(\implies e^{2y}(x^2-1)=-x^2\)

\(\implies e^{2y}=-\dfrac{x^2}{x^2-1}\)

\(\implies \ln e^{2y}= \ln \left(-\dfrac{x^2}{x^2-1}\right)\)

\(\implies 2y \ln e= \ln \left(-\dfrac{x^2}{x^2-1}\right)\)

\(\implies 2y(1)= \ln \left(-\dfrac{x^2}{x^2-1}\right)\)

\(\implies 2y= \ln \left(-\dfrac{x^2}{x^2-1}\right)\)

\(\implies y= \dfrac{1}{2}\ln \left(-\dfrac{x^2}{x^2-1}\right)\)

Replace y with f⁻¹(x):

\(\implies f^{-1}(x)= \dfrac{1}{2}\ln \left(-\dfrac{x^2}{x^2-1}\right)\)

The domain of the inverse of a function is the same as the range of the original function.  Therefore, the domain of the inverse function is restricted to {x : 0 < x < 1}.

Therefore, the inverse of the given function is:

\(f^{-1}(x)= \dfrac{1}{2}\ln \left(-\dfrac{x^2}{x^2-1}\right), \quad \textsf{for}\:\{x:0 < x < 1\}\)

On a scatter diagram, you can see outliers if there is a regression line. The point or points that are furthest distant from the regression line are considered outliers in a scatter diagram.

In a scatter plot, dots are used to show the values of two separate numerical variables. To see how different variables relate to one another, utilize scatter plots. The link between an independent and dependent variable is shown as a straight line in a linear regression.

If a linear model is adequate, the residuals scatterplot should display random scatter and the histogram should appear about normal. The linear model is inappropriate if we see a curved connection in the residual plot. The residuals are displayed against the explanatory variable in a different form of residual plot.

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According to given information the P-value is approximately 0.016.

In statistical hypothesis testing, the p-value is the probability of obtaining a test statistic as extreme as or more extreme than the observed results, under the assumption that the null hypothesis is true.

To find the P-value for this hypothesis test, we need to use a t-distribution with degrees of freedom equal to n-1 = 14-1 = 13. Since the test statistic is t = -2.645, we need to find the area under the t-distribution curve to the left of t.

Using a t-table or calculator, we can find that the area to the left of t = -2.645 with 13 degrees of freedom is approximately 0.008. This is the probability of observing a t-value less extreme than -2.645, assuming the null hypothesis is true.

Since this is a two-tailed test (we are testing whether the true mean is less than or greater than 18.00 Mbps), we need to double the one-tailed P-value to get the two-tailed P-value. Therefore, the P-value is approximately 0.016 (i.e., 2 x 0.008).

So, the P-value is approximately 0.016.

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Answer:

-1 because you would go over down because it’s negative then move back up to negitave 3 and then right 2 would give you -1

Step-by-step explanation:

Answer:

f(x)  :  exponential growth

g(x);  exponential growth

h(x):  exponential growth

j(x):   exponential decay

Step-by-step explanation:

In an exponential function such as
\(m(x) = a \cdot b^x\)

the factor that determines whether it is a growth or decay function depends entirely on the value of b since x cannot be negative

If b > 1, it is a growth function

If b < 1 then it is a decay function

If b = 1 neither growth or decay function values are constant

In this context
f(x) has b = 2 > 1 . Hence it is a growth function
g(x) has b = 3 > 1 hence growth function
h(x) has be = 3/2 > 1; hence growth function
j(x) has be = 0.5 < 1 hence decay function

Answer:

O f(x)  :  exponential growth

O g(x);  exponential growth

O h(x):  exponential growth

O j(x):   exponential decay

Step-by-step explanation: I used to do this before :)

The regression equation for this data is y = -6+5x.

Using this regression equation, the value of predicted Y when X=3 is 9.

In the given question, a researcher conducted a number of descriptive statistics for two variables X and Y.

We have to find the regression equation for this data.

Then using this regression equation, we have to find the value of predicted Y when X=3.

We have given that

SP = 15

SSx = 3

My = 4

Mx = 2

B1 = Sp / SSx

B1 = 15/3=5

B0 = My-^B1Mx

B0 = 4-5*2=-6

So, the regression equation for this data is:

y = -6+5x

For x=3, the predicted value of y is

y = -6+5*3

y(predict) = 9

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The write question is given below:

The required measure of each interior angle of a 13-gon is approximately 118.46 degrees.

To find the measure of each interior angle of a 13-gon, we can use the formula:

Interior angle = (180(n-2))/n

where n is the number of sides of the polygon.

Substituting n=13 in the formula, we get:

Interior angle = (180(13-2))/13

Interior angle = (180 x 11)/13

Interior angle = 1540/13

Interior angle = 118.46 degrees (rounded to two decimal places)

Therefore, the measure of each interior angle of a 13-gon is approximately 118.46 degrees.

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The balance after the bank has paid two interests into the account is $10,506.25

The formula for calculating future value of the account is:

FV = P (1 + r)^N

10,000 (1.025)^2 = $10,506.25

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