The area of the United States is 3,794 100 square miles. Which is the best estimation of this area?

Answer:

60 seconds

Step-by-step explanation:

The y-intercept is 60

Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

We can convert this using the following conversion process:

Therefore, the equivalent is 9.9593miles/year.

Answer:

62

Step-by-step explanation:

JL = JK + KL

5x + 2 = 3x - 1 + 27 add like terms

5x + 2 = 3x + 26

2x = 24

x = 12

JL = 12 × 5 + 2

JL = 62

Answer:

7,000 meters = 7 kilometers

Answer: 7,000=7

Step-by-step explanation:7×1,000=7,000 so its the same so its 7,000=7

                              hope it helps and sorry if it is wrong

Answer:

There should be 5 lines of symmetry.

Step-by-step explanation:

Carla's draw only one line of symmetry but in a regular pentagon there should be 5 line of symmetry.

Here,

Carla was asked to draw all the lines of symmetry for a regular pentagon.

She drew the picture as shown.

We have to find Carla's mistake.

What is Regular Pentagon?

A regular pentagon is a pentagon that has 5 equal sides and 5 equal angles.

Now,

As shown in figure,

Carla's draw only one line of symmetry.

But in a regular pentagon there should be 5 line of symmetry.

Hence, There should be 5 line of symmetry.

Option 4 is true.

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Answer: y=(x-9)(x-1)

Step-by-step explanation:

Answer:

i) {-2 , -1 , 0 , 1  ,2 , 3 , 4 , 5}

ii) {-2 , -1 , 0 , 1}

iii) {-1 , 0 , 1  ,2 , 3 , 4 , 5}

Step-by-step explanation:

i) 7 - x > 0

⇔ 7 > x

⇔ x < 7

⇔ x ∈ {-2 , -1 , 0 , 1  ,2 , 3 , 4 , 5}

____________________________

ii) 3 - 4x > -2

⇔ 3 + 2 > 4x

⇔ x < 5/4

⇔ x ∈ {-2 , -1 , 0 , 1}

____________________________

iii) 3x + 4 > -2​

⇔ 3x  > -2​ - 4

⇔ 3x  > -6

⇔ x  > -6/3

⇔ x  > -2

⇔ x ∈ {-1 , 0 , 1  ,2 , 3 , 4 , 5}

Answer:

B

Step-by-step explanation:

y-intercept is positive 5 so that eliminates answer choices A and C

to decide between B and D, select a point in the solution area; for example, (0, 0). Plug these values into B and D and see which one it is true for

B)  0 ≥ -3(0)-5

Is 0 ≥ -5  Yes

D) 0 ≤ -3(0)-5

Is 0 ≤ -5  No

Answer:

y ≤ –3x + 5

Step-by-step explanation:

Answer:

The answer is below.

Step-by-step explanation:

PROVE √(1-〖cos〗^2 θ)/cosθ = tanθ

Now 1 - cos^2 θ = sin^2θ

So  √(1 - cos^2 θ) = sin θ

and  √(1 - cos^2 θ) / cos  θ

= sin θ / cos θ

= tan θ

Step-by-step explanation:

\(\dfrac{\sqrt{1-\cos^2\theta}}{\cos\theta}=\tan\theta\\\\\text{We know:}\\(1)\ \sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x\\(2)\tan x=\dfrac{\sin x}{\cos x}\\\\\text{For}\ \sqrt{1-\cos^2\theta}\ \text{use}\ (1):\\\\L_S=\dfrac{\sqrt{1-\cos^2\theta}}{\cos\theta}=\dfrac{\sqrt{\sin^2\theta}}{\cos\theta}=\dfrac{\sin\theta}{\cos\theta}=\tan\theta\ \ \ _{used (2)}\\\\R_S=\tan\theta\\\\L_S=R_S\)

\(\text{Of course, this equality is not true for everyone values of}\ \theta.\\\\1^o.\ \cos\theta\neq0\to\theta\neq\dfrac{\pi}{2}+k\pi,\ k\in\mathbb{Z}\\\\2^o.\ \sqrt{\sin^2\theta}=|\sin\theta|,\ \text{therefore}\\\\\text{for}\ \theta\in[2k\pi;\ (2k+1)\pi],\ \sin\theta\geq0\to|\sin\theta|=\sin\theta\\\\\text{therefore}\ \dfrac{|\sin\theta|}{\cos\theta}=\dfrac{\sin\theta}{\cos\theta}=\tan\theta\)

\(\text{for}\ \theta\in\bigg((2k-1)\pi;\ 2k\pi\bigg),\ \sin\theta<0\to|\sin\theta|=-\sin\theta\\\\\text{therefore}\ \dfrac{|\sin\theta|}{\cos\theta}=\dfrac{-\sin\theta}{\cos\theta}=-\tan\theta\neq\tan\theta\)

\(\text{Conclusion:}\\\\\text{This equality is true for}\ \theta\in\left[2k\pi;\ \dfrac{\pi}{2}+2k\pi\right)\cup\left(\dfrac{\pi}{2}+2k\pi;\ \pi+2k\pi\right],\ k\in\mathbb{Z}\)

The calculated value of x in the circle is 59

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

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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ANSWER:

g. 1.77 km per sec

STEP-BY-STEP EXPLANATION:

To calculate the velocity we must apply the Pythagorean theorem to first calculate the distance between the starting point and the end point, since a right triangle is formed

Velocity is distance over time, therefore

The speed is 106.36 km per minute, if we calculate the speed per kilometers per second it would be:

Which means that the speed is 1.77 kilometers per second, that is, the answer is g. 1.77 km per sec

The sample mean of the observations is 19.25 and the standard deviation is 2.15

Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.  

Sample standard deviation is the square root of the variance

mean = (23 + 25 + 16 + 20 + 13 + 10 + 28 + 19)/8

mean = 19.25

variance = (x₁ - mean)²/n(n-1)

variance = ((23 - 19.25)² + (25 - 19.25)² + (16 - 19.25)² + (20 - 19.25)² + (13 - 19.25)² + (10 - 19.25)² + (28 - 19.25)² + (19 - 19.25)²)/(8(7))

variance = 259.5/56

variance = 4.63

Standard deviation = √variance = √4.63 = 2.15

Therefore, the sample mean of the observations is 19.25 and the standard deviation is 2.15

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The ladder will reach up to a height of approximately 27.39 feet (rounded to two decimal places).

We can use the Pythagorean theorem to solve this problem. Let's call the distance from the base of the ladder to the house "x". Then, according to the Pythagorean theorem:

\(x^2 + 48^2 = 50^2\)

Simplifying this equation, we get:

\(x^2 + 2304 = 2500\)

Subtracting 2304 from both sides, we get:

\(x^2 = 196\)

Taking the square root of both sides, we get:

x = 14

So the ladder is currently 14 feet away from the house. If Mila pulls the ladder 6 feet farther away from the house, it will be 20 feet away from the house. We can use the same equation to find out how high up the ladder will reach:

\(x^2 + y^2 = 50^2\)

Substituting x = 20 and simplifying, we get:

\(y^2 = 1500\)

Taking the square root of both sides, we get:

y = 5√30

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Step-by-step explanation:

5x-16 = 3 (10+x)

=> x= 23

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

B. \(r=\sqrt[3]{\displaystyle\frac{3x}{4\pi}}\)

Step-by-step explanation:

Hi there!

\(x=\displaystyle\frac{4}{3} \pi r^3\)

Multiply both sides by 3/4:

\(\displaystyle\frac{3x}{4}= \pi r^3\)

Divide both sides by π:

\(\displaystyle\frac{3x}{4\pi}=r^3\)

Take the cube root of both sides:

\(\sqrt[3]{\displaystyle\frac{3x}{4\pi}} =r\\\\r=\sqrt[3]{\displaystyle\frac{3x}{4\pi}}\)

I hope this helps!

Answer:

37.75

Step-by-step explanation:

0.25 x 30 = 7.5

45.25 - 7.5 = 37.75

Answer:

can u add more info plz

Step-by-step explanation:

Answer:

The absolute value of a number is how far that number is from 0.

|-9| = 9

This is true because the absolute value of 9 is 9 spaces away from 0.

Answer:

There's no question for this, it's just a country importing an absurd amount of fruit.

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

-2x+19=3x-1

+2x        +2x

19=5x-1

+1       +1

20=5x

/5   /5

4=x

x=4

The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

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The standard deviation of a dataset is a number.

The standard deviation is a statistical measure that quantifies the amount of dispersion or variability within a dataset. It provides a numerical representation of how spread out the data points are from the mean (average) value. In other words, it measures the average distance between each data point and the mean.

To calculate the standard deviation, the following steps are typically followed:

Calculate the mean of the dataset by summing all the values and dividing by the number of observations.

Calculate the difference between each data point and the mean.

Square each difference.

Find the average of the squared differences.

Take the square root of the average to obtain the standard deviation.

The standard deviation is expressed in the same unit as the original dataset, providing a measure of the typical or expected deviation from the mean value. A larger standard deviation indicates a greater degree of variability, while a smaller standard deviation indicates less variability and a more tightly clustered dataset.

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The average of the lengths of the wood at the store can be found to be C. 10.344 Inches.

To find the average length, we need to add up the lengths of the 8 pieces of wood and then divide by 8.

10 and 1/16 = 10.0625

10 and 1/8 = 10.125

10 and 1/4 = 10.25

10 and 3/8 = 10.375

Adding these four lengths together, we get:

10.0625 + 10.125 + 10.25 + 10.375 = 40.8125

Dividing by 4, we get the average length:

40.8125 / 4 = 10.344 Inches

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Answer:

at noon the temperature was -0.1 *C

Step-by-step explanation:

The measure of angle x is 140°

For given question,

We are given that a pair of parallel lines is cut by a transversal line .

Let a pair of parallel lines are PQ and RS and the transversal line AB cut the parallel lines PQ and RS.

We are given that an exterior angle on the left side of the transversal line is 40 degrees.

The interior angle on the right side of transversal line is x which is not vertical opposite to exterior angle = 40 degrees

We know that when two lines are parallel and cut by a transversal line then corresponding angles are congruent.

So, angle MNR = 40°

Also, ∠MNR + ∠MNS = 180°           ...............(linear pair of angles)

⇒ 40° + x = 180°

⇒ x = 140°

Therefore, the measure of angle x is 140°

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Answer:

89 more boys than girls

Step-by-step explanation:

801 * 4/9 = 356

So 356 boys

rest are girls so 801-356 = 445 girls

445-356 = 89

89 more boys than girls (there are more boys but question says there are more girls?)

A linear graph represents a proportional relationship include the following: C. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.

Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

In this context, we can reasonably infer and logically deduce that a graph of a straight line that passes through the data points (0, -4) and (1, -4) represents a proportional relationship because it would go through the origin (0, 0).

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By means of inverse trigonometric functions and numerical methods, we conclude that the measure of the angle θ is approximately equal to 64.62°.

What is Mathematical function ?

Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.

In this question we find a given direct trigonometric function, of which we must look up for the measure of the angle associated to it.

This can be done by using inverse trigonometric functions and numerical methods as those functions are transcendent, that is, functions that cannot be described algebraically, and cannot be solved analytically in most cases.

Then, the measure of the angle such that cos θ = 3 / 7 is:

cos⁻¹ (cos θ) = cos⁻¹ (3 / 7)

θ = cos⁻¹ (3 / 7)

θ ≈ 64.62°

Then, the measure of the angle θ such that cos θ = 3 / 7 is approximately equal to 64.623°.

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The solutions for the infinite solutions have the same set of coefficients on both sides of the equations

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A be

ax + by = 0

Let the second equation be represented as B

Now , the value of B be

cx + dy = 0

For the system of equations to have infinite solutions , the coefficients of both the equations should be same

So , when a = c and b = d

ax + by = cx + dy

Hence , when the coefficients of the equations are same , the system has infinite solutions

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