Can someone help with this?

Answer:

this looks like a rectangle with a right triangle cut out of it.

first we need the area of the rectangle (w*h).

4*8 = 32

32 - the area of the right triangle

triangle area = (wh)/2

4-2 (to find the smallest side of right triangle) = 2

and 8-4 (to find second largest side of right triangle) = 4

4*2 = 8

and 8/2 = 4

32 - 4 = 28

hope this was correct and it helped

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

6x = 2(x + 32)

I hope this helps!

The width of the rectangle is 16 inches.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Length = 32 inches

Perimeter = 6 x width

Now,

2 (length + width) = 6 x width

2 (32 + width) = 6 x width

32 + width = 3 x width

32 + width = 3width

32 = 3width - width

32 = 2 width

width = 16 inches

Thus,

The width is 16 inches.

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It will take 2 days for the car to cover the route.

To determine how many days it will take a car to cover a route of length M kilometers, we need to use the given formula:

Distance = Rate × Time

where distance is M kilometers, and rate is N kilometers per day.

We want to find the time in days.

Therefore, rearranging the formula, we have: Time = Distance / Rate

Substituting the given values, we get: Time = M / N

Therefore, the function days(n, m) that returns the number of days to cover the route can be defined as follows: def days(n, m):    return m / n

Now, let's use this function to calculate the number of days it will take for a car that covers a distance of 700 kilometers per day to cover a route of length 750 kilometers:

days(700, 750) = 1.0714...

Since the number of days should be a whole number, we need to round up the result to the nearest integer using the ceil function from the math module: import mathdef days(n, m):    return math.ceil(m / n)

Now, we can calculate the number of days it will take for a car that covers a distance of 700 kilometers per day to cover a route of length 750 kilometers as follows: days(700, 750) = 2

Therefore, it will take 2 days for the car to cover the route.

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Answer:

D.

Step-by-step explanation:

The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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Answer:

2/18

Step-by-step explanation:

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

The rational numbers are √75, 2. √7, √0. 36, √0. 0144, √3/77, -√36/49

A rational number can simply be described as a number that is expressed as the ratio of two even or odd integers.

The denominator of the fraction or ratio must be greater than zero.

Rational numbers are represented mathematically as a quotient, say x/y of two integers such that y ≠ 0, that is, the denominator is not equal r equivalent to zero.

It is formed from dividing on integer(whether odd or even) by another integer.

The numbers; √75, 2. √7, √0. 36, √0. 0144, √3/77, -√36/49 are all rational numbers

Hence, the numbers are √75, 2. √7, √0. 36, √0. 0144, √3/77, -√36/49

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

The solution is, 52 ft is the perimeter of the base of the pyramid.

Here, we have,

Given that:

We have an pyramid with square base.

Area of base of the square pyramid = 169

To find:

Perimeter of the base of pyramid = ?

Solution:

First of all, let us have a look at the formula of area of a square shape.

Area = side * side

Let the side be equal to  ft.

Putting the given values in the formula:

169 = a^2

so, a = 13 ft

Now, let us have a look at the formula for perimeter of square.

Perimeter of a square shape = 4  Side

Perimeter = 4 * 13 = 52ft

The solution is, 52 ft is the perimeter of the base of the pyramid.

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complete question:

A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?

12.497 square units is the  area a of the triangle whose sides have the given lengths.

To find the area (a) of a triangle given the lengths of its three sides (a, b, and c)

we can use Heron's formula, which is:

a =√s(s-a)(s-b)(s-c)

where s is the semi perimeter of the triangle, which is half the perimeter, and is given by:

s = (a + b + c) / 2

Using the values of a = 7, b = 5, and c = 5, we can calculate the semi perimeter as:

s = (a + b + c) / 2

= (7 + 5 + 5) / 2

= 8.5

Now we can use Heron's formula to find the area:

a =√s(s-a)(s-b)(s-c))

= √8.5(8.5-7)(8.5-5)(8.5-5)) = 12.497

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In the coordinate axis the point D is located at the position of (5,-2) .

In the given graph of the coordinate axis , we can see that the four points A,B,C and D are located

The coordinates of each point are :

A (-5,-2)

B (-2,5)

C (2,-5)

D (5,-2)

Therefore using the given abscissae and ordinate of the points the point that is located at (5,-2) is D.

A coordinate system in geometry is a way to use one or more integers, or coordinates, to determine the exact placement of points or other geometrical objects on a manifold, such Euclidean space.

The order of the coordinates is crucial, and they are frequently identified by their position in an ordered tuple or by a letter, such as "the x-coordinate." The coordinates are often real values in elementary mathematics, but they could also be complex numbers or parts of a more abstract system, such a commutative ring.

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Answer: I would say rolling a number cube

Step-by-step explanation:

when flipping a coin you will have a 1/2 chance of landing on heads and then when spinning the spinner you would have a 3/4 chance since there is 3 numbers greater then 1 and then with the cube since it has 6 sides and your only getting 1 or two you would have a 2/6 chance.

Answer:

w>-20

Step-by-step explanation:

Answer:

What we need to do is simply multiply the values in both columns e.g 4 * 3/36 = 12/36

Please check explanation for complete answer

Step-by-step explanation:

Here, we are concerned about filling the empty columns of the table.

What we want to do here is simply straightforward. All we need to do is to

multiply the values of x by the values of P(x) in each of the individual rows.

Also recall, we do not need to reduce the fractions.

So we have;

2. 3 * 2/36 = 6/36

3. 4 * 3/36 = 12/36

4. 5 * 4/36 = 20/36

5. 6 * 5/36 = 30/36

6. 7 * 6/36 = 42/36

7. 8 * 5/36 = 40/36

8. 9 * 4/36 = 36/36

9. 10 * 3/36 = 30/36

10. 11 * 2/36 = 22/36

11. 12 * 1/36 = 12/36

he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

Let’s assume the general solution of the given differential equation is,

y=e^{mx}

By taking the derivative of this equation, we get

\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)

Now substitute these values in the given differential equation.

\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)

Therefore, \(m^4-2m^2-8=0\)

\((m^2-4)(m^2+2)=0\)

Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)

By applying the formula for the general solution of a differential equation, we get

General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

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Answer:

48 and 32

Step-by-step explanation:

both numbers get rounded by 8 going up and down rounding it to 40

There are two conditions as;

When, A and B are independent, then we get;

⇒ P(A|B) = P(A).

When, A and B are mutually exclusive, then we get;

⇒ P(A|B) = 0

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

There are two conditions as;

When, they are mutually exclusive or if they are independent.

Now,  

Let p(A|B) is the probability of event A occurring,

Where, event B occurs.

So, It is very important to check whether they are mutually exclusive or independent because;

If A and B are independent, then P(A|B) = P(A).

If A and B are mutually exclusive, then P(A|B) = 0

Thus, There are two conditions as;

When, A and B are independent, then we get;

⇒ P(A|B) = P(A).

When, A and B are mutually exclusive, then we get;

⇒ P(A|B) = 0

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Answer:

A

Step-by-step explanation:

because u use RISE/RUN

and the rise is 3 and the run is 1

3/1=3

Answer:

A.

Step-by-step explanation:

Answer:

Answer: 16 Step-by-step explanation: a:2+4 =12 a:2=12-4 a:2=8 a=8 ×2 a=16 dresses  

Step-by-step explanation:

Answer:

2/3 of 30 miles in 3/4 hours is the same as 20 miles in 1/2 hour.

Step-by-step explanation:

30/1x2/3

60/3 = 20

3/4x2/3

6/12 = 1/2

brainliest pls

Answer:

Step-by-step explanation:

Rule: An absolute value will always be positive.

=> Referring to the rule, the absolute value of |–3.25| is 3.25.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

Step-by-step explanation:

In a right triangle with altitude drawn to the hypotenuse, the length of the altitude divides the hypotenuse into two segments proportional to the lengths of the segments adjacent to the altitude.

Let's denote the length of AB as x. According to the given information:

AD = 10

AC = 45

Using the property of similar triangles, we can set up the following proportion:

AB/AD = AC/AB

Substituting the given values:

x/10 = 45/x

To solve for x, we can cross-multiply:

x^2 = 10 * 45

x^2 = 450

Taking the square root of both sides:

x = √450

Simplifying the radical:

x = √(9 * 50)

x = √(9) * √(50)

x = 3√(50)

Therefore, the length of AB in simplest radical form is 3√(50).

Answer:

read below vv

Step-by-step explanation:

d = 5.00 - 4.25

d = 0.75

Answer:

Julie will get back 0.75 in change.

Step-by-step explanation:

d=4.25

5.00-d => 5.00-4.25 = 0.75

Hope this answered your question!

Answer:

7

Step-by-step explanation:

6² = 36 and 7² = 49

47 is between 36 and 49, but it is closer to 49. Therefore, the answer would be 7.

We need a minimum sample size of 336 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level.

A) When there is no preliminary estimate available, we can use the worst-case scenario, which is p = 0.5 (since this gives the maximum possible variability). The margin of error is given as 3% or 0.03. The formula to calculate the minimum sample size needed is:

n = [Z² x p x (1 - p)] / E²

where Z is the z-value for the desired confidence level, p is the population proportion, and E is the margin of error.

At 90% confidence, the z-value is 1.645. Plugging in the values, we get:

n = [(1.645)² x 0.5 x (1 - 0.5)] / (0.03)²

n ≈ 1217.75

We need a minimum sample size of 1218 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level and an accuracy of 3%.

B) If a proper study found that 11% of U.S. adults eat fast food four to six times per week, we can use this as a preliminary estimate and calculate the minimum sample size needed with the formula:

n = [Z² x p x (1 - p)] / E²

where p is the preliminary estimate of the population proportion (0.11), and the other variables are the same as before.

At 90% confidence, the z-value is 1.645. Plugging in the values, we get:

n = [(1.645)² x 0.11 x (1 - 0.11)] / (0.03)²

n ≈ 335.77

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Answer:

x = 2

Step-by-step explanation:

63x - 1 and 62x + 1 are corresponding angles and congruent, thus

63x - 1 = 62x + 1 ( subtract 62x from both sides )

x - 1 = 1 ( add 1 to both sides )

x = 2

Answer:

A.

Step-by-step explanation:  63 x - 1  62 x + 1

The land developer will be able to form 1171 lots from the remaining land after the shopping center is built.

The developer plans to divide the land into two parts: a shopping center with an area of 160 acres, and the rest of the land which will be used for lots.

To find out how much land will be used for lots, we can subtract the area of the shopping center from the total area of the land:

550.39 acres - 160 acres = 390.39 acres

The remaining 390.39 acres will be used for the lots.

To find out how many lots can be formed, we need to divide the remaining area by the area of each lot. We know that no lot will be smaller than 1/3 acre, so we need to make sure that the number of lots we calculate is rounded down to the nearest integer:

390.39 acres ÷ (1/3) acre/lot ≈ 1171.17 lots

Since we cannot have a fraction of a lot, we need to round down to the nearest integer:

Number of lots = 1171 lots

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