Find the perimeter of the figure
where the length is 4x + 7,
the width is 2x - 5.

Answer:

2.537 x 10¹⁵ miles

Step-by-step explanation:

We are given the following:

1 light year = 5.9 x 10¹² miles

Distance of the star = 4.3 x 10² light years

To get this we just convert the distance of the star in light years into miles.

We cancel out the light years and then we are left with:

In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.

Coefficients:

4.3 x 5.9 = 25.37

Exponents of 10:

10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴

Then we combine them again to form a scientific notation:

25.37 x 10¹⁴

But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.

The answer will then be:

2.537 x 10¹⁵ miles

Hope I helped! If you really thought I did a great job answering this question please rate, thanks, and award brainliest.

Yours,

Fellow Brainiac

Answer:    318,600

Step-by-step explanation:

This is what I got hope it helped:)

Answer:

x(x-5)

Step-by-step explanation:

x times x is x to the power of 2 and x times 5 is 5x

Answer: x <= -5/12

Step-by-step explanation:

\(\begin{array}{l}3x\le\frac{-5}{4}\\\\=\frac{3x}{3}\le\frac{\frac{-5}{4}}{3}\\\\=x\le-\frac{5}{12}\end{array}\longrightarrow\ -\frac{5}{4}\cdot\frac{1}{3}=-\frac{5}{12}\)

Answer:

The three numbers are 29, 31, and 33.

Step-by-step explanation:

Let's imagine that the three consecutive odd integers are 2x−1, 2x+1, and 2x+3. And we are told the sum is 93 right? So, let's equal the three numbers to 93.

2x − 1 + 2x + 1 + 2x + 3 = 93

6x + 3 = 93

     -3     -3

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

6x = 90

/6    /6

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

x = 15

Now, plug in x into 2x−1, 2x+1, and 2x+3 to find the three numbers.

2x − 1                   2x + 1                 2x + 3

2(15) - 1                2(15) + 1             2(15) + 3

30 - 1                    30 + 1                 30 + 3

= 29                      = 31                      = 33

Answer:

30, 31, 32

Step-by-step explanation:

I hope this helps

Answer:

c

Step-by-step explanation:

Answer:

The midpoint is (4.5,-.5)

Step-by-step explanation:

The x coordinate  of the midpoint is the sum of the x coordinate divided by 2

(1+8)/2 = 9/2 = 4.5

The y coordinate  of the midpoint is the sum of the y coordinate divided by 2

(-6+5)/2 = -1/2 = -.5

The midpoint is (4.5,-.5)

Therefore, Marcy would run 1.5 miles in one hour if she continues at this rate. Answer: 1.5 miles.

Distance is the overall distance that something has traveled. as one example. If a car travels 5 km east, then turns and travels 8 km further north, it will have covered a distance of 13 km overall.

We can begin by finding how far Marcy runs in one second:

4.4 feet / 2 seconds = 2.2 feet per second

To find how many feet she runs in one hour, we can multiply her speed by the number of seconds in an hour:

2.2 feet per second x 3600 seconds per hour = 7,920 feet per hour

Finally, we can convert this distance to miles by dividing by the number of feet in a mile:

7,920 feet per hour / 5,280 feet per mile = 1.5 miles per hour

Therefore, Marcy would run 1.5 miles in one hour if she continues at this rate. Answer: 1.5 miles.
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By using the Law of Cosines again, we determine that cos(B) is approximately 0.48166, corresponding to an angle B of approximately 48.17°. Similarly, we calculate that cos(C) is approximately 0.83434, corresponding to an angle C of approximately 83.43°.

Given the triangle ABC, we are provided with the lengths of the sides and an angle. We can use the Law of Cosines, which states that in any triangle, the square of one side is equal to the sum of the squares of the other two sides, minus twice the product of the lengths of those two sides multiplied by the cosine of the included angle.

To solve for side a, we apply the Law of Cosines:

a^2 = b^2 + c^2 - 2bc*cos(A)

Substituting the given values, we have:

a^2 = (11.1)^2 + (14.8)^2 - 2*(11.1)*(14.8)*cos(48.4°)

Simplifying this equation yields:

a^2 ≈ 123.21 + 219.04 - 320.02*cos(48.4°)

a^2 ≈ 342.25 - 320.02*cos(48.4°)

Calculating the value of a, we find:

a ≈ √(342.25 - 320.02*cos(48.4°))

a ≈ √(342.25 - 320.02*0.66934)

a ≈ √(342.25 - 213.6)

a ≈ √128.65

a ≈ 11.14 m (rounded to 2 decimal places)

Next, we use the Law of Cosines again to find angle B:

cos(B) = (a^2 + c^2 - b^2) / (2*a*c)

Substituting the given values, we have:

cos(B) = (11.14^2 + 14.8^2 - 11.1^2) / (2*11.14*14.8)

Simplifying this equation yields:

cos(B) ≈ (123.6196 + 219.04 - 123.21) / (329.768)

cos(B) ≈ 219.4496 / 329.768

cos(B) ≈ 0.6650

Thus, B ≈ cos^(-1)(0.6650) ≈ 48.166° (rounded to 2 decimal places)

Finally, we can find angle C:

cos(C) = (a^2 + b^2 - c^2) / (2*a*b)

Substituting the given values, we have:

cos(C) = (11.14^2 + 11.1^2 - 14.8^2) / (2*11.14*11.1)

Simplifying this equation yields:

cos(C) ≈ (123.6196 + 123.21 - 219.04) / (246.844)

cos(C) ≈ 27.8296 / 246.844

cos(C) ≈ 0.1127

Thus, C ≈ cos^(-1)(0.1127) ≈ 83.

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The probability density function for a normal distribution N(68, 5) reaches its maximum height at x = 68, which is the mean of the distribution. The function does not touch the x-axis at μ±30.

The probability density function (PDF) for a normal distribution is bell-shaped and symmetrical around its mean. In this case, the mean (μ) is 68, and the standard deviation (σ) is 5.

(a) To find the x value at which the PDF reaches a maximum, we look at the mean of the distribution, which is 68. The PDF is highest at the mean, and as we move away from the mean in either direction, the height of the PDF decreases. Therefore, the x value at which f(x) reaches a maximum is x = 68.

(b) The PDF of a normal distribution does not touch the x-axis at μ±30. The x-axis represents the values of x, and the PDF represents the likelihood of those values occurring. In a normal distribution, the PDF is continuous and never touches the x-axis. However, the PDF becomes close to zero as the values move further away from the mean. Therefore, the probability of obtaining values μ±30, which are 38 and 98 in this case, is very low but not zero. So, the PDF does not touch the x-axis at μ±30, but the probability of obtaining values in that range is extremely small.

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Answer:

Milliliters is 1 Deciliter

Step-by-step explanation:

Sheena will reach the opposite bank approximately 11.269 miles downstream from her starting point.

To determine how far upstream or downstream Sheena will reach the opposite bank, we can use the concept of vector addition.

Let's analyze the situation:

Sheena's boat speed in still water is 2.30 mi/h.

The river width is 1.20 mi.

The current is flowing at a speed of 1.60 mi/h.

To go straight across the river, Sheena needs to balance the current by heading upstream at an angle that compensates for the downstream drift caused by the current.

Let's calculate the time it takes for Sheena to cross the river at an angle of 25.0 degrees upstream:

First, we calculate the effective downstream speed caused by the current:

Effective downstream speed = Current speed = 1.60 mi/h.

Then, we calculate the effective upstream speed required to counteract the current:

Effective upstream speed = Boat speed in still water * sin(angle)

= 2.30 mi/h * sin(25.0 degrees)

≈ 0.976 mi/h.

Now, we can calculate the time it takes to cross the river:

Time = River width / (Effective upstream speed - Effective downstream speed)

= 1.20 mi / (0.976 mi/h - 1.60 mi/h)

≈ 7.043 hours.

Since Sheena's boat speed is slower than the current speed, she will not be able to reach the opposite bank directly. She will be carried downstream by the current, and the distance downstream can be calculated as:

Distance downstream = Effective downstream speed * Time

= 1.60 mi/h * 7.043 hours

≈ 11.269 mi.

Therefore, Sheena will reach the opposite bank approximately 11.269 miles downstream from her starting point.

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Answer: 142º

Step-by-step explanation:

Find the sum of the polygon's interior angles with the formula \(180(n - 2)\) where n is the number of the polygon's sides. The polygon's sum of interior angles is 540º

Use the sum to subtract any existing angle measures in the diagram.

\(e = 540 - 90 - 102 - 108 - 98\)

Just to clarify, we subtract 90 from 540 as a right angle measures 90º by definition.

x=74°

look at the given picture for stepwise

Answer:

x=6

Step-by-step explanation:

2(3x+4)=5x+3x-4

combine all like terms and distribute

6x+8=8x-4

-8 -8

6x= 8x-12

-8x -8x

-2x= -12

x= 6

The ratio of Italian hoagies to roast beef hoagies is 42/53. This means that for every 42 Italian hoagies sold, there are 53 roast beef hoagies sold.

To find the ratio of Italian hoagies to roast beef hoagies, you divide the number of Italian hoagies by the number of roast beef hoagies. In this case, the ratio is calculated as:

Italian Hoagies / Roast Beef Hoagies = 42 / 53

The ratio represents the relative proportion or relationship between the two quantities. It tells us how many Italian hoagies there are for every roast beef hoagie.

In this particular scenario, the ratio of Italian hoagies to roast beef hoagies is 42/53. This means that for every 42 Italian hoagies sold, there are 53 roast beef hoagies sold.

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Answer: 81

Step-by-step explanation: If you add all of the numbers, then you end up getting 81.35 and 81.35 estimated to the nearest whole number is 81 because that's the closest whole number to 81.35.

Answer:

On the third day u can use 1/3 also.

Step-by-step explanation:

1/3 x 3 = 3/3 or 1.

Answer:

It's gotta be 5. All the possible answers are 1, 2, 3, 4, and 5. Because there are so many the logical way to go is 5

22 would be displayed by command print(magic(5)).

The statement print(magic(5)) would display the result of the magic function when called with an argument of 5.

The print function is a commonly used function in programming languages that allows you to display output to the console or terminal. It is used to output text, variables, or other data to the standard output device.

Substituting num = 5 into the function definition, we get:

x = num - 3 = 5 - 3 = 2

return x + 2 * 10 = 2 + 20 = 22

Therefore, print(magic(5)) would display 22.

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Answer:8

Step-by-step explanation:

We can expect 8 of the next 16 people to have black hair, based on the given information.

It is a branch of mathematics that deals with the occurrence of a random event.

Since 2 out of the total number of people who have already taken their seats at the seminar have black hair

we can assume that the probability of a person having black hair is 2 out of the total number of people who have taken their seats.

The probability of a person having black hair can be expressed as:

P(black hair) = 2/(2+2) = 1/2

This means that out of the total number of people who have already taken their seats, half of them have black hair.

If we assume that the next 16 people to take their seats are chosen randomly and independently from the population,

we can use the expected value formula to calculate the number of people with black hair we would expect among those 16 people:

Expected value = total number of people x probability of having black hair

Expected value = 16 x (1/2)

Expected value = 8

Therefore, we can expect 8 of the next 16 people to have black hair, based on the given information.

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Answer:

8.9443

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.9443

Answer:

9

11

15

Step-by-step explanation:

Read the points in the graph that correspond to y = 0, y = 2, y = 6.

Answer:

9

11

15

Answer:

x=3

Step-by-step explanation:

3x-5x+25= 5x+4

-2x+25=5x+4

+2x.      +2x

25=7x+4

-4.      -4

21=7x

/7. /7

3=x

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

3x - 5(x -5) = - 3 + 5x + 7

3x - 5x + 25 = 4 + 5x

3x - 5x -5x = 4 - 25

-7x = -21

x = -21 : (-7)

x = 3

Answer:The number of days it will grow to be 18.5 cm tall is 17 days.

Step-by-step explanation:

To find how many days it will grow until it reaches 18.5 centimeters, first find the difference of the new height by the old height.

So= 18.5-10= 8.5cm

8.5 is the centimeters it needs to grow to be 18.5 cm tall.

Then, divide it by the number of centimeters it will grow in one day, which is 0.5, to find the days it grew 8.5 cm.

So= 8.5÷0.5= 17

I hope this helps! Ask me if you're confused.

Answer:division if you just use the derivative

Step-by-step explanation:

The logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

A log function is a way to find how much a number must be raised in order to get the desired number.

\(\rm a^c=b\) can be written as \(\rm log_ab=c\).

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Given to us

2⁵ = 32

As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,

\(\rm 2^5=32\\\\log_25=5\)

Hence, The logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

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y= -4x-5 you can find this by seeing how far it goes up/down and where it starts:)

To answer this question, we need to find the distance for each of the sides of the trapezoid, using the formula of the distance:

We need to identify each of the points to find the corresponding distances.

d1 (-6, 5) and (-1, 10) = sqrt (50) =7.071068 units.

d2 (-1, 10) and (4, -1) = sqrt (146) = 12.083046 units.

d3 (4, -1) and (2, -3) = sqrt (8) = 2.828427 units.

d4 (2, -3) and (-6, 5) = sqrt (128) = 11. 313708 units.

Then, we have to sum all of the partial results:

(7.071068 + 12.083046 + 2.828427 + 11. 313708) units = 33.296249 units or 33.3 units.

Therefore, the perimeter of the trapezoid is approximately 33.3 units.