The polygons are similar but not necessarily drawn to scale.

Answer:

Kindly check attached picture

Step-by-step explanation:

Given the expression : −3+5−7+9−11+13−15+17−19+21

Number of values : 1 up to 7

Take initial as - 1, since the expressed value starts with negative

Difference of 2 between the absolute value of each successive integer.

log(x) - log(6) = 2 log(4)

Condense the left side, using the property log(a) - log(b) = log(a/b) (if b ≠ 0):

log(x / 6) = 2 log(4)

Rewrite the right side, using the property n log(a) = log(aⁿ ):

log(x / 6) = log(4²)

log(x / 6) = log(16)

Cancel the logarithms (i.e. take the exponential of both sides):

exp(log(x / 6)) = exp(log(16))

x / 6 = 16

Solve for x :

x = 6 × 16

x = 96

Answer: The flat rate cost is $25.70 and the cost per item is $2.30, so the total cost (y) can be represented as:

y = 2.30x + 25.70

This is in slope-intercept form, where the slope is 2.30 and the y-intercept is 25.70.

Step-by-step explanation:

Answer:

$430.35

Step-by-step explanation:

you have to subtract the 2 withdrawls, and then add 25 for the deposit to get the total amount

Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

Hello.

There are really 2 ways to think about the given problem.

First, we can use the slope formula:

\(\displaystyle\frac{y2-y1}{x2-x1}\)

\(\displaystyle\frac{-6-(-2)}{-9-(-9)} =\frac{-6+2}{-9+9} =\frac{-4}{0} =\)

Slope = undefined

The second way is to just take a look at the points.

You should notice that the x-coordinates are the same.'

If the x-coordinates are the same, then the slope is

\(\Large\boxed{Und.efined}}\)

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

Answer:

undefined

Step-by-step explanation:

the x-coordinates are the same look

Answer:

  $359.42

Step-by-step explanation:

The difference in the investment values can be computed by making use of the formulas for the account balance in each case.

  compound interest: A = P(1 +r)^t . . . . interest at rate r compounded annually

  simple interst: A = P(1 +rt) . . . . simple interest at rate r

__

The account earning simple interest will have a balance of ...

  A = $8000(1 +0.12×3) = $10,880

The account earning compound interest will have a balance of ...

  A = $8000(1 +0.12)^3 ≈ $11,239.42

The difference between the two investments is ...

  $11,239.42 -10,880 = $359.42

A prism having a triangular base is a right triangle of sides a and b = 2a.

The lengths of side "a" is 3.464 mm.

The length of side "b" is 6.928 mm.

Volume of the Triangular Prism:

A triangular prism is an object in three dimensional space with a triangular base and three other triangles connected to it. A triangular prism has four corners, and the distance from the base to the diagonal vertex is called the height of the triangular prism.

It is given by the multiplication of the area of the base to the height of the prism.

V = (Area × height of prism)/3

=> V = Ah/3

we have given that,

Base of prism is right angle triangle with sides "a" and "b" such that b = 2a ---(1)

Height of prism (h) = 10mm

Volume (V) = 40mm³

the Area of triangluar base = 1/2 × base× height of triangular base

A = (1/2)a ×b

=> A = (1/2)a × 2a = a²

Volume of prism (V) = a²×h/3 = 40

=> a²×10/3 = 40

=> a² = 120/10 = 12

=> a = √12 = 2√3

=> a = 2(1.732) = 3.464

from equation (1) , b = 2a = 2(3.464)

=> b = 6.928

So, the lengths of sides of triangle are

a= 3.464 and b = 6.928

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Answer:

3,4,5 I just did it

Step-by-step explanation:

Answer:c d e

Step-by-step explanation:

Answer:

a. -2

c. -1

Step-by-step explanation:

these are the only values for x, where the 2 equations deliver the same y value.

in case of a. y = -2×-2 - 1 = 4 - 1 = 3

and y = 3¹ = 3

c. y = -2×-1 - 1 = 2 - 1 = 1

y = 3⁰ = 1

The probability that a light aircraft with an emergency locator, which has disappeared, will be discovered is 0.894.

Let A be the event that the aircraft is discovered, and B be the event that the aircraft has an emergency locator. We are given that P(A|B') = 0.28, P(B|A) = 0.63, and P(B'|A') = 0.84, where B' and A' denote the complements of B and A, respectively.

We want to find P(A|B), the probability that the aircraft is discovered given that it has an emergency locator. By Bayes' theorem,

P(A|B) = P(B|A)P(A) / P(B)

We can find P(A) and P(B) using the law of total probability:

P(A) = P(A|B)P(B) + P(A|B')P(B') = 0.63 * (1 - 0.72) + 0.28 * 0.72 = 0.3264

P(B) = P(B|A)P(A) + P(B|A')P(A') = 0.63 * 0.72 + 0.16 * (1 - 0.72) = 0.4656

Now, we can substitute these values into the first equation to get:

P(A|B) = 0.63 * (1 - 0.72) / 0.4656 = 0.894

Therefore, the probability that a light aircraft with an emergency locator, which has disappeared, will be discovered is 0.894.

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Answer:

I believe is 3 4/6

Step-by-step explanation:

22/5  : 6/5

22/5 * 5/6

22/6

11/3

3 4/6

Answer:

11/3 or 3and2/3

Step-by-step explanation:

To change a mixed number into a fraction, you multiply the whole number by the denominator and add it to the numerator.

4 and 2/5 = 22/5

1 and 1/5 = 6/5

To divide fractions, flip one upside down and then multiply top by top, bottom by bottom

(22/5) / (6/5) = (22/5) x (5/6) = (22x5)/(5x6) = 110/20 = 11/3 or 3and2/3

13 and 13√2 is the value of x and y in the given diagram

The given diagram is a right triangle, we need to determine the value of x and y.

Using the trigonometry identity

tan45 = opposite/adjacent
tan45 = x/13

x = 13tan45
x = 13(1)
x = 13

For the value of y

sin45 = x/y

sin45 = 13/y
y = 13/sin45

y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.

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Answer:

y = 3x + 12

Step-by-step explanation:

Slope of y = 3x + 5 is 3

Line parallel will have same slope 3

Line intersects point at (-2, 6)

Replace into y = mx + b to find

6 = 3(-2) + b

6 = -6 + b

12 = b

Equation of line:

y = 3x + 12

Answer:

y = 3x + 12

Step-by-step explanation:

Lines parallel to each other will have the same slope but different y-intercepts. This means that the equation of this parallel line has a slope of 3.

y = 3x + b

Now we need to find the y-intercept by plugging in the point (-2, 6) into the equation. (Replace x with -2 and y with 6.) Then we solve it.

y = 3x + b

6 = 3(-2) + b

6 = -6 + b

+6 +6

12 = b

The y- intercept is 12. So the equation of the parallel line is y = 3x + 12

Answer:

Step-by-step explanation:

Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.

Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)

On expansion

(3 - i)(3 + i)

=  9+3i-3i-i²

= 9-(-1)

= 9+1

(3 - i)(3 + i) = 10

For the expression (2 + i)(1 - i), we have;

(2 + i)(1 - i)

= 2-2i+i-i²

= 2-i+1

= 3-i

Multiplying 3-i with the last expression (1 + 2i)

(2 + i)(1 - i)(1 + 2i)

= (3-i)(1+2i)

= 3+6i-i-2i²

= 3+5i-2(-1)

= 3+5i+2

= 5+5i

Finally,  [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]

= 10(5+5i)

= 50+50i

Hence,  (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i

Answer:

i dont know just trying to get pionts haha sorry rihana

Step-by-step explanation:

Answer:

Belleville to Greenwood is approximately 12 kilometers

explain detail note on distance in mathematics?

Distance in mathematics is the measure of how far apart two points are. It can be calculated in Euclidean space, where the distance between two points is the length of the straight line connecting them. In other spaces, such as a spherical surface, the distance between two points may be calculated using trigonometric formulas. The study of distances is called metric geometry.

Distance is often used to measure the length of paths, curves, or other objects. It can be measured in any unit of length, such as miles, kilometers, or meters. Distance can also be measured in terms of time, as in the speed of light.

Distance can be used to calculate the area of a shape or the volume of an object. It can also be used to calculate the length of a curve or the circumference of a circle. Distance can be used to calculate the slope of a line and the angle between two lines.

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Answer:

A I think

Step-by-step explanation:

Answer:

The answer is B because you mainly need 5 to 8.

The standard error of the mean for 100 samples having a mean of 44 and a standard deviation of 14 is 1.4

No. of samples = 100

The mean of those samples = 44

The standard deviation of those samples = 14

The standard error of the mean can be found using the formula

                                 \(\displaystyle \sigma_{\bar x} = \frac{\sigma}{\sqrt n}\)

where \(\displaystyle \sigma_{\bar x}\) is the standard error of the mean

          σ is the standard devaition

          n is the number of samples.

Let us substitute the known values in the above, we get

                              \(\displaystyle \sigma_{\bar x}\) = 14 / √100

                                   = 14 / 10

                                   = 1.4

Therefore, the standard error of the mean is 1.4

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Answer:

-1.3333333333333

Step-by-step explanation:

Answer:

[(1.2).(2,3), (3,4),(4.5))

Step-by-step explanation:

once reversed, no x-values repeat therefore these ordered pairs would represent a function.

hope this helped!

The last set of ordered pairs, \(\{(1.2),(2,3), (3,4),(4.5)\}\), would still be a function even if its  x- and y-coordinates where reversed.

Reversing the x- and y-coordinates is like finding the inverse relation.

An inverse relation will be a function if the original function were one-to-one. The only set of ordered pairs that satisfies this condition is

\(\{(1.2),(2,3), (3,4),(4.5)\}\)

The other options are many-to-one relations. On reversing their  x- and y-coordinates, they each become one-to-many relations. All functions are either one-to-one, or many-to-one.

So, the answer is the last set of ordered pairs \(\{(1.2),(2,3), (3,4),(4.5)\}\)

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Answer:

The volume of shipping crate is 32 unit cubes.

Step-by-step explanation:

Given that:

Length of the crate = 4 units

Width of the crate = 2 units

Height of the crate = 4 units

Volume of shipping crate = Length * Width * Height

Volume of the crate = 4 * 2 * 4

Volume of crate = 32 unit cubes.

Hence,

The volume of shipping crate is 32 unit cubes.

Answer:

32 units

Step-by-step explanation:

It will take 14.87 years for $100 to reach $500 when it grows at 10 percent per year.

To find out how long it will take, we can use the formula for compound interest:

A = P(1 + r)^t

Where A is the final amount, P is the principal amount, r is the interest rate, and t is the number of years.

In this case, we want to find out how long it will take for $100 to reach $500 when it grows at 10 percent per year. So we can plug in the values and solve for t:

500 = 100(1 + 0.10)^t

5 = (1.10)^t

Taking the natural logarithm of both sides:

ln(5) = t ln(1.10)

t = ln(5) / ln(1.10)

t = 14.87 years

So it will take 14.87 years for $100 to reach $500 when it grows at 10 percent per year.

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Step-by-step explanation:

1) r+28=180( being linear pair angle)

r=180-28

r=152

2) a= 110( being vertically opposite angle)

The predicted values of A, B, C, and D are: A = 595B = -0.5C = 600D = $6350, therefore, the correct option is IC.

Given,

Mean of X = 600

Standard deviation of X = 10

Mean of Y = $5000

Standard deviation of Y = 1000

Correlation r= 0.9

Future value of X = 595

Z score of X = (X- Mean of X) / Standard deviation of X= (595-600) / 10 = -0.5

Using the formula, Predicted y = average of y+ r* (Z score of X)* standard deviation of y

Predicted y = $5000 + 0.9 * (-0.5) * 1000 = $4750

The predicted value of Y for X = 595 is $4750.

Now, to find the values of A, B, C, and D; we need to calculate the Z score of X = 615 and find the corresponding predicted value of Y.

Z score of X = (X- Mean of X) / Standard deviation of X= (615-600) / 10 = 1.5

Predicted y = average of y+ r* (Z score of X)* standard deviation of y

Predicted y = $5000 + 0.9 * (1.5) * 1000 = $6350

The predicted value of Y for X = 615 is $6350.

Hence, the values of A, B, C, and D are: A = 595B = -0.5C = 600D = $6350

Therefore, the correct option is IC.

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