Solve for x.................

we will find the length of rectangle when area is divided by the breadth of rectangle.

Some properties are rectangle are stated below:

1. rectangle has four right angles

2. rectangles has four sides and equal opposite sides which are parallel to each other.

3.rectangle has two diagonals which are similar in length.

The bigger side lengths are called length and the smaller sides are called breadth of rectangle.

if area of rectangle is given, we can find length when area is divided by its breadth.

 length = area/breadth

hence, length of rectangle is determined from the value of area and breadth.

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Answer: 6

just beleive me

Step-by-step explanation:

a. 4x = 3x+3

4x-3x=3

x = 3

b. L ABC = 3x+3= 3(3)+3= 12°

c. L CBD = 4x = 4(3) = 12°

d. L ABD = 12+12 = 24°

From step 1 to step 2 they added 3 squares.

From step 2 to step 3 they added 5 squares.

Each step they add the next odd number in sequence: 3,5,7,9,etc.

So for step 4 they would add 7 more squares. Add 7 to the number of squares in step 3 for total squares:

7 + 9 = 16

step 4 will have 16 squares.

The McNemar's Test can be thought of as the chi-square type equivalent to the paired t-test.

The McNemar's Test is a non-parametric statistical method used to analyze the differences between paired or matched categorical data, such as repeated measurements on a single group. Like the paired t-test, which is used to compare continuous data, the McNemar's Test evaluates the changes in the proportions of success or failure between the paired observations.

This test is particularly useful when dealing with small sample sizes or when the assumptions of normality and homogeneity of variances required for the paired t-test are not met. By using the chi-square distribution, McNemar's Test provides a way to determine the significance of the differences between paired categorical data, while accounting for the dependency between the observations.

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The equation of plane containing the point (−3,−2,6) and the line

​x(t)=8+4t

y(t)=2−5t

z(t)=1+4t is -14x - 70y + 59z = 417.

A point and a line both lie on the same plane. To find a plane that contains the point and line as well, follow these steps:

Step 1: Determine two additional points on the plane

To obtain the second point, substitute another value for t into the parametric equations for the line and record the output.

x(0) = 8+4(0)

= 8;

y(0) = 2 - 5(0)

= 2;

z(0) = 1 + 4(0)

= 1

Therefore, P1 = (8, 2, 1).

Similarly, if t is set equal to 1 in the parametric equation, another point will be obtained.

x(1) = 8+4(1)

= 12;

y(1) = 2-5(1)

= -3;

z(1) = 1+4(1)

= 5

Therefore, P2 = (12, -3, 5).

Step 2: Find the normal vector to the plane

The normal vector to the plane is obtained by taking the cross-product of any two vectors in the plane.

By subtracting the position vectors of the points, two vectors lying on the plane may be obtained.⃗

r1 = P1 - P0

=  (8 - (-3), 2 - (-2), 1 - 6)

= (11, 4, -5)⃗

r2 = P2 - P0

= (12 - (-3), -3 - (-2), 5 - 6)

= (15, -1, -1)

The cross-product of ⃗r1 and ⃗r2 is the normal vector to the plane.

 ⃗n = ⃗r1 × ⃗r2 = (-14, -70, 59).

Step 3: Write the equation of the plane

The equation of a plane can be written as Ax + By + Cz = D, where (A, B, C) is the normal vector and (x, y, z) are the coordinates of the point lying on the plane.

Plugging in the known values, we obtain:

-14x - 70y + 59

z = D.

Now, let us find D using the coordinates of the point that lies on the plane

(−3,−2,6).

-14(-3) - 70(-2) + 59(6)

= 417

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Answer:

-125/462.

Step-by-step explanation:

5/22 + 3/7 + (-8/21) + (-6/11)

= 5/22 - 6/11 + 3/7 - 8/21        The LCM of 11 and 22 is 22 and of 7 & 21= 21:

= 5/22 - 12/22 + 9/21 - 8/21

= 1/21 - 7/22                              The LCM of 21 and 22 is 462:

= 22/462 - 147/462

= -125/462.

Answer:

here's the answer it's :

x=-28

y=-18

z=-16

The free cash flow (FCF) for year 1 can be calculated by subtracting the investment in fixed assets and the investment in net working capital from the profit after taxes and adding back the depreciation. In this case, the free cash flow for year 1 is $2 million

Free cash flow (FCF) is a measure of the cash generated by a company after accounting for its expenses and investments in fixed assets and working capital. It represents the amount of cash available to the company for distribution to its shareholders, reinvestment in the business, or debt reduction.

In this case, the given data states that the profit after taxes is $5 million, the depreciation is $2 million, the investment in fixed assets is $4 million, and the investment in net working capital is $1 million.

The free cash flow (FCF) for year 1 can be calculated as follows:

FCF = Profit after taxes + Depreciation - Investment in fixed assets - Investment in net working capital

FCF = $5 million + $2 million - $4 million - $1 million

FCF = $2 million

Therefore, the free cash flow for year 1 is $2 million. This means that after accounting for investments and expenses, the company has $2 million of cash available for other purposes such as expansion, dividends, or debt repayment.

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Answer: 0.2 cm/yr

Step-by-step explanation:

simply divide centimeters by years

25.0 cm ÷ 125 yr

0.2 cm/yr ... answer



The rate of uplift is 0.2 cm/yr

hope that helps...

Answer:

x + 7

Step-by-step explanation:

1+7=8

2+7+9

so on

Answer:

x=4

DE=33

CD=11

Step-by-step explanation:

Answer:

x=4

DE=33

CD=11

Step-by-step explanation:

think of a number that can be both for CD and DE, and when you combine them together the answer would be 44.

x=4

CD= 3(4)-1

=11

DE= 5(4)+13

=33

CD + DE = CE

11 + 33 = 44

Answer:

g(x) = 4 - x^2

at x-intercept, y=0

0=4-x^2

x^2=4

x = ± 2

=> two x- intercepts, (-2,0) and (2,0)

at y-intercept, x = 0

g(x) = y = 4 - 0 = 4

y-intercept = (0,4)

The x-intercept is ( ±2 , 0 ) and y- intercerpt is (0,4).

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.

This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.

g(x) = 4 - x²

At x-intercept, y = 0

0=4-x²

x² = 4

x = ± 2

Two x- intercepts, (-2,0) and (2,0)

at y-intercept, x = 0

g(x) = y = 4 - 0 = 4

y-intercept = (0,4)

Therefore, the x-intercept is ( ±2 , 0 ) and y- intercerpt is (0,4).

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Answer:

it's 2/3

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The value of the expression (2cosθ - sinθ)/(2cosθ + sinθ) when 2cotθ = 3 is 1/2.

To find the value of the expression (2cosθ - sinθ)/(2cosθ + sinθ) given that 2cotθ = 3, we can start by expressing cotθ in terms of cosine and sine.

Since cotθ = cosθ/sinθ, we can rewrite the given condition as:

2(cosθ/sinθ) = 3

Multiplying both sides by sinθ, we have:

2cosθ = 3sinθ

Now, let's substitute this value of 2cosθ in the expression:

(2cosθ - sinθ)/(2cosθ + sinθ) = (3sinθ - sinθ)/(3sinθ + sinθ) = 2sinθ/4sinθ = 1/2

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To find the total mass of all the worker bees in the hive, you need to multiply the mass of a single worker bee by the number of worker bees in the hive.

The mass of a single worker bee is 2 x 10^-4 kilograms, and there are 8 x 10^4 worker bees in the hive.

So the total mass of all the worker bees in the hive is (2 x 10^-4 kilograms) * (8 x 10^4 worker bees) = 0.16 kilograms.

In standard form, this is written as 1.6 x 10^-1 kilograms.

Based on the information, the width of the river is approximately 71.508 meters

We can use the tangent function, which relates the angle and the sides of a right triangle. The formula is:

tan(angle) = opposite / adjacent

In this case, the adjacent side is the 60 meters that the surveyor walked, and the opposite side is the width of the river that we need to find.

Using the formula, we can rearrange it to solve for the opposite side:

opposite = adjacent * tan(angle)

Plugging in the values:

opposite = 60m * tan(50°)

opposite = 60m * tan(50°)

opposite ≈ 60m * 1.1918

opposite ≈ 71.508 meters

Therefore, the width of the river is approximately 71.508 meters.

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A surveyor needs to calculate the width of a river. From a point A located in front of a tree

bowl on the opposite shore, walk 60 meters (m) to the right. If the angle between the river bank

and the line of sight to the tree at this point is 50°, what is the width of the river?

Answer:

244

Step-by-step explanation:

\(544 - 300 = \\ 244\)

Answer:

its not loading??

Step-by-step explanation:

The translations performed are

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

f(x) = ln(x)

g(x) = -ln(x + 1) - 3

First, we have the transformation to be:

From f(x) = ln(x) to f(x) = -ln(x)

This means a reflection across the x-axis

Next, we have

From f(x) = -ln(x) to f(x) = -ln(x + 3)

This means the function is translated left by 3 units

Next, we have:

From f(x) = -ln(x + 3) to f(x) = -ln(x + 3) - 3

This means the function is translated down by 3 units

Hence, the translation is 3 units left and 3 units down

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Answer:

Slower speed = 9 mph

Step-by-step explanation:

Let the initial speed (slower speed) = s mph

Speed 's' = \(\frac{\text{Distance}}{\text{Time}}\)

            s = \(\frac{6}{t}\) -------(1)

If the cyclist increases the speed by 3 mph then the final speed = (s + 3) mph

He can reduce the time 't' by 10 minutes (\(\frac{1}{6}\) hours)

Now, (s + 3) = \(\frac{6}{t-\frac{1}{6}}\)

s + 3 = \(\frac{36}{6t-1}\) --------(2)

Substitute the value of 's' from equation (1) to the equation (2).

\(\frac{6}{t}+3=\frac{36}{6t-1}\)

\(\frac{2}{t}+1=\frac{12}{6t-1}\)

\(\frac{2}{t}-\frac{12}{6t-1}=-1\)

\(\frac{2(6t-1)-12t}{t(6t-1)}=-1\)

\(\frac{12t-2-12t}{t(6t-1)}=-1\)

\(-\frac{2}{t(6t-1)}=-1\)

6t² - t = 2

6t² - t - 2 = 0

6t² - 4t + 3t - 2 = 0

2t(3t - 2) + 1(3t - 2) = 0

(2t + 1)(3t - 2) = 0

t = \(-\frac{1}{2},\frac{2}{3}\) hours

But the time can't be negative.

Therefore, t = \(\frac{2}{3}\) hours is the answer.

From equation (1),

s = \(\frac{6}{\frac{2}{3}}\)

s = 9 miles per hour.

Slower speed = 9 mph is the answer.

Answer:

9 ft

Step-by-step explanation:

As length, width and height are same, then it is a square prism / cube

Volume of prism = 729 ft³

side³ = 729

side³ = 9³

Side = 9 ft

Answer:

5 weeks

Step-by-step explanation:

We know that she works at a rate of $12 an hour, she also works 20 hours a week.

The total amount she makes per week is $240 (12 x 20). However, that is without deductions. We have to subtract $34 from the $240.

$240 - $34 = $206.

$206 is the amount she makes in a week and she wants to save $950. How many weeks does she have to save? Well, let's divide.

$950 / $206 = 4.6 weeks. However, if we have to round up to 5 weeks.

Answer:

44200 of them were girls

Step-by-step explanation:

If the ratio is 8:25, we must find x:65000

In order to change the ratio 8:25 into x:65000, we must multiply 25 by 2600. So you have to multiply 8 by 2600 too

8 x 2600 = 20800

65000 (total students) - 20800 (boy students) = 44200 (girl students)

Answer:

\(gy78093 x^{2} 67\)

Step-by-step explanation:

B. x = y

Hope this helps! :)

Answer:

x = y

Step-by-step explanation:

∠x and ∠y are corresponding angles

corresponding angles are congruent ( equal to each other )

Hence x = y

A large sample size is needed to construct a confidence interval for the mean BAC of fatal crashes with a positive BAC because it allows for a better approximation of a normal distribution according to the Central Limit Theorem, reduces the margin of error, and minimizes the impact of outliers in a highly skewed right distribution.

To understand why a large sample size is needed to construct a confidence interval for the mean BAC of fatal crashes with a positive BAC, especially when the histogram of blood alcohol concentrations is highly skewed right.

A histogram of blood alcohol concentrations (BACs) in fatal accidents that is highly skewed right indicates that most of the data points are concentrated on the lower end of the scale, with fewer data points extending to the higher BAC levels. When constructing a confidence interval for the mean BAC of fatal crashes with a positive BAC, a large sample size is necessary for the following reasons:

1. Central Limit Theorem: The Central Limit Theorem (CLT) states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. A larger sample size allows for a better approximation of a normal distribution, which is essential for constructing an accurate confidence interval.

2. Decreased Margin of Error: A larger sample size reduces the margin of error in the confidence interval, leading to a more precise estimate of the true population mean. As sample size increases, the standard error of the sample mean decreases, which narrows the confidence interval.

3. Minimizing the Impact of Outliers: In a highly skewed right distribution, there may be extreme values (outliers) on the higher end of the BAC scale. A larger sample size helps to minimize the impact of these outliers on the mean and the confidence interval, leading to a more accurate representation of the true population mean.

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A kilometer is a metric unit of measurement equal to 1,000 meters 

New York had the larger population with 1.9 x 10⁷ people. The correct option is B.

To compare the populations of the states, we need to convert all the populations to the same unit of measurement. In this case, all the populations are given in terms of millions (10⁶).

We can see that New York's population is 1.9 x 10⁷, which means 19 million people. Georgia's population is given as 9.6 x 10⁶, which is 9.6 million people. Comparing these two values, it is evident that New York has a larger population than Georgia.

Check the populations of the other states:

Alaska: 7.1 x 10⁵ = 0.71 million people

Wyoming: 5.6 x 10⁵ = 0.56 million people

Idaho: 1.5 x 10⁶ = 1.5 million people

New York's population of 19 million is much larger than any of the other states listed, making it the state with the largest population among the options provided. The correct option is B.

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Complete question:

Based on the 2010 census, the population of Georgia was 9.6 x 10^6 people. Which state had a larger population? A. Alaska: 7.1 x 10^5 B. New York: 1.9 x 10^7 C. Wyoming: 5.6 x 10^5 D. Idaho: 1.5 x 10^6