pls help me!! this is trig. and its very confusing i cant fail!! i will mark brainliest

Answer:

18.08 million people increase per year

Step-by-step explanation:

870.5 to 960.9 difference in 5 years.

960.9- 870.5 divided by 5 is your formula

comes to a 18.08 million people increase per year

no agruing this answer

The percentage of students scoring 84 or more in the exam is 99.18%.

Given, Mean test score = 72,

Standard deviation = 5.

We are supposed to find the percentage of students scoring 84 or more in the exam.

To find the percentage of students scoring 84 or more in the exam, we will use the following steps:

First, we need to find the z-score associated with 84.

Let us assume that z is the z-score corresponding to the value 84, then;

z = (84 - 72) / 5 = 2.4

Now, we have the value of z, we can find the percentage of students scoring 84 or more in the exam using the normal distribution table.

The percentage is the area under the normal distribution curve to the right of the z-score.

To find the area using the normal distribution table, we need to look for the value 2.4 in the z-table. Since 2.4 is not exactly listed in the z-table, we will use the value for 2.4 closest to it.

Using the z-table, the value closest to 2.4 is 0.9918.

Therefore, the percentage of students scoring 84 or more in the exam is;

P(Z > 2.4) = 0.9918 × 100 = 99.18%.

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Answer:

Step-by-step explanation:

As,

Landslide, also called landslip, the movement downslope of a mass of rock, debris, earth, or soil (soil being a mixture of earth and debris).

Landslides occur when gravitational and other types of shear stresses within a slope exceed the shear strength (resistance to shearing) of the materials that form the slope.

Answer:

Landslide                              

Hope this helps. Plz give brainliest

The absolute uncertainty in A is approximately 0.022254. Rounding it to the same number of decimal places as A, we express the absolute uncertainty as 0.05995 ± 0.00008.

To calculate the absolute uncertainty in A, we need to determine the maximum and minimum values that A can take based on the uncertainties in b and c. The absolute uncertainty in A can be found by propagating the uncertainties through the equation.

Given:

b = 95.68 ± 0.05

c = 43.28 ± 0.02

To find the absolute uncertainty in A, we can use the formula for the absolute uncertainty in a function of two variables:

ΔA = |∂A/∂b| * Δb + |∂A/∂c| * Δc

First, let's calculate the partial derivatives of A with respect to b and c:

∂A/∂b = 1/π

∂A/∂c = -1/π

Substituting the given values and uncertainties, we have:

ΔA = |1/π| * Δb + |-1/π| * Δc

= (1/π) * 0.05 + (1/π) * 0.02

= 0.07/π

Since the value of π is a constant, we can approximate it to a certain number of decimal places. Let's assume π is known to 5 decimal places, which is commonly used:

π ≈ 3.14159

Substituting this value into the equation, we get:

ΔA ≈ 0.07/3.14159

≈ 0.022254

Therefore, the absolute uncertainty in A is approximately 0.022254.

To express the result in the proper format, we round the uncertainty to the same number of decimal places as the measured value. In this case, A is approximately 0.05995, so the absolute uncertainty in A can be written as:

ΔA = 0.05995 ± 0.00008

Therefore, the correct answer is option b. 0.05995 ± 0.00008.

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Answer:

x=12 and y=31

Step-by-step explanation:

First, ( 5x - 7 ) and ( 3x + 17 ) are alternate interior angles, which means they are congruent, or equal:

5x - 7 = 3x + 17

Add 7 to each side:

5x = 3x + 24

Subtract 3x from both sides:

2x = 24

Divide each side by 2:

x = 12

Now we can see that ( 5x - 7 ) and ( 4y + 3 ) are supplementary angles, which means they will add up to 180 degrees:

5x - 7 + 4y + 3 = 180

Substitute 12 in for x to solve for y:

5 ( 12 ) - 7 + 4y + 3 = 180

60 - 7 + 4y + 3 = 180

combine like terms:

( 60 + ( -7 ) + 3 ) + 4y = 180

56 + 4y = 180

Subtract 56 from each side:

4y = 124

Divide each side by 4:

y = 31

The measure of angle x that is formed around a point is: 145°.

The measure of the angle around a point equals 360 degrees.

The the angles formed by the fork in the road equals 360 degrees.

Therefore, we would have the following equation:

x + 165 + 50 = 360

x + 215 = 360

Subtract both sides by 215

x = 360 - 215

x = 145°

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Rex's bike distance in kilometers is calculated to be 104.65 kilometers

Given that:

rex rides his bike for 13 miles each day for 5 days

1 mile = 1.61 kilometers

Rex's total ride in five days

13 miles * 5 days = 65miles

1 mile = 1.61 kilometers

65 miles = ? kilometers

cross multiply gives

? kilometers * 1 mile = 1.61 kilometers * 65 miles

? kilometers = 106.65 kilometers

Hence the unknown distance in kilometers represented as ? is solved to be 106.65 kilometers to the nearest hundredth

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Answer:

b 104.65

Step-by-step explanation:

i did the exam

Step-by-step explanation:

as, sum of all angles on a Straight line is 180°

so,

4x + 2 + 110 = 180

→ 4x + 112 = 180

→ 4x = 180 - 112 = 68

→ x = 68 /4 = 17

→ x = 17

therefore, value of x is 17°

hope this answer helps you dear!

Answer:

D.) 3.7

Step-by-step explanation:

Plug in the choices with h and add them all together with 4.6, and you will get 19.4

The mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

The mode is defined as the number that occurs most frequently in a list of numbers. In a set of numbers, there can be one mode, more than one mode, or no mode at all.

To find the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18}, we need to identify the number that appears most frequently. Here, we can observe that 12 is the number that appears twice, while all the other numbers only appear once.

Therefore, the mode for this list of numbers is 12. It's important to note that if there are multiple numbers that appear with the same highest frequency, then all of them are considered as modes. For instance, if the list of numbers was {5, 9, 12, 11, 12, 19, 19, 18}, then both 12 and 19 would be modes since they each appear twice.

In conclusion, the mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

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The shortest length possible in the given question is 4.0×\(10^{-10}\) cm .

Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.

Most people interpret length to mean an object's longest dimension. Nevertheless, depending on the object's position, this is not always the case.

There are several terms for the length of a fixed object, including height, which is also known as vertical length or vertical extent, and width, breadth, or depth. When a base exists from which vertical measurements can be taken, height is used.

Nanometer(nm)- In the International System of Units (SI), a nanometer (American spelling) is a unit of length that is equal to 1000 picometres and one billionth (short scale) of a meter (0.000000001 m).

now , for find the shortest length we can covert all the given units into centimeter,

1 pm = \((10)^{-10}\) cm

1 nm = \((10)^{-7}\) cm

1 m =  100 cm

we have , 400 pm = 4× \((10)^{-8}\) cm

                4.0 nm  =  4 × \((10)^{-7}\) cm

      4.0 x \((10)^{-4}\)m = 4 × \((10)^{-2}\) cm

and   4.0 x \((10)^{-10}\) cm

hence , clearly it is shown that shortest length is 4.0 x \((10)^{-10}\) cm .

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As a result, the cable is **3317.7 CM⁵ in diameter in round mils.

A circular mil (CM) is a measurement of area that is particularly useful for describing the size of a wire or cable's cross section. It is equivalent to the surface area of a circle with a one mil (a thousandth of an inch, or 0.0254 mm²) diameter. It is equivalent to roughly 0.7854 millionths of an inch square.

This formula can be used to get the cable's diameter in circular mils:

- Each strand has a diameter of 5.63 mils.

Each strand has an area of (5.63/2)2 × π, or 24.9 circular mils (CM).

- 133 strands have a total area of 133× 24.9, or 3317.7 CM.

As a result, the cable is **3317.7 CM**⁵ in diameter in round mils.

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Given:

The graph of a line segment.

The line segment AB translated by the following rule:

\((x,y)\to (x+4,y-3)\)

To find:

The coordinates of the end points of the line segment A'B'.

Solution:

From the given figure, it is clear that the end points of the line segment AB are A(-2,-3) and B(4,-1).

We have,

\((x,y)\to (x+4,y-3)\)

Using this rule, we get

\(A(-2,-3)\to A'(-2+4,-3-3)\)

\(A(-2,-3)\to A'(2,-6)\)

Similarly,

\(B(4,-1)\to B'(4+4,-1-3)\)

\(B(4,-1)\to B'(8,-4)\)

Therefore, the endpoint of the line segment A'B' are A'(2,-6) and B'(8,-4).

Answer:

165

Step-by-step explanation:

If your height is 5 feet 3 inches and your weight is 120 pounds, then the BMI is 21.23

To calculate your Body Mass Index (BMI), use the following formula:

BMI = weight in kilograms / (height in meters)²

First, convert your height to meters :

5 feet 3 inches = 63 inches

63 inches = 160.02 cm

160.02 cm = 1.6002 meters

Next, convert your weight to kilograms :

120 pounds = 54.43 kg

Now, plug in these values to calculate your BMI:

BMI = 54.43 kg / (1.6002 meters)²

Divide the terms

BMI = 21.23

Therefore, your BMI is approximately 21.23

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As an alternative, we could contend that the probability of the first coin coming up heads or tails is 1/2, the probability of the second coin coming up heads or tails is 1/2, and so on for the third and fourth coins.

This would reduce the probability of any given sequence of heads and tails to (1/2)x(1/2)x(1/2)x(1/2)=(1/16).

The curve achieves its greatest value for N=2 heads, which is the case where the outcome is most likely. This is exactly what you would anticipate: if each coin has an equal chance of landing heads or tails, then in four flips, half of the results should be heads, making N = 4x(1/2) = 2 the most likely result.

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Answer:

20 mph

Step-by-step explanation:

Average speed is given as total distance traveled divided by total time taken:

S = d / t

Let us find the total distance traveled.

He traveled 12 minutes (0.2 hours) at a speed of 15 mph. The distance to the grocery store is therefore:

d = s * t

d = 15 * 0.2 = 3 miles

He travels the same distance to get back home, this means that his total distance traveled is 6 miles.

Let us calculate the time taken to get home from the grocery store:

t = d /s

t = 3 / 30 = 0.1 hour

Therefore, his total time is:

t = 0.2 + 0.1 = 0.3 hours

His average speed is therefore:

s = 6 / 0.3 = 20 mph

Answer:

___ x 10 = ____^2

Step-by-step explanation:

(a)the body temperature of the 1601 lb man will increase by approximately 3.0 °C.(b)the body temperature of the 160 lb man will increase by approximately 2.4 °C.

The specific heat of a human is given as 3.47 J/°C. Using this information, we can calculate the increase in body temperature when a certain number of calories are converted into heat energy. In the first scenario, a 1601 lb man consumes a candy bar containing 287 Cal. In the second scenario, a 160 lb man consumes a roll of candy containing 41.9 Cal. We will calculate the increase in body temperature for each case.

(a) To calculate the increase in body temperature for a 1601 lb man who consumes a candy bar containing 287 Cal, we need to convert calories to joules. Since 1 Calorie (Cal) is equal to 4184 joules, we have:
Energy = 287 Cal × 4184 J/Cal = 1.2 × \(10^6\) J
Now, using the specific heat formula Q = mcΔT, where Q is the energy, m is the mass, c is the specific heat, and ΔT is the change in temperature, we can rearrange the formula to solve for ΔT:
ΔT = Q / (mc)
Assuming the mass of the man is converted to kilograms, we have:
ΔT = (1.2 × \(10^6\) J) / (1601 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 3.0 °C
Therefore, the body temperature of the 1601 lb man will increase by approximately 3.0 °C.
(b) For a 160 lb man who consumes a roll of candy containing 41.9 Cal, we repeat the same calculation:
Energy = 41.9 Cal × 4184 J/Cal = 1.75 × \(10^5\) J
ΔT = (1.75 × \(10^5\) J) / (160 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 2.4 °C
Thus, the body temperature of the 160 lb man will increase by approximately 2.4 °C.

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Answer:

The two true statements are:

Option 2 earns more interest than option 3.

Option 3 earns more interest than option 1.

Step-by-step explanation:

Option 2, which involves compound interest compounded monthly, will earn more interest than option 3, which involves compound interest compounded annually. This is because compounding more frequently within a year results in a higher accumulated amount due to the compounding effect.

Option 3, which involves compound interest compounded annually, earns more interest than option 1, which involves simple interest. Compound interest grows exponentially over time, while simple interest grows linearly. Therefore, option 3 exhibits exponential growth, while option 1 exhibits linear growth.

If derivative of \(f(x)=ln(x+4+e^{(-3x)})\), then f '(0) = -2/5.

What is derivative?

In calculus, the derivative of a function is a measure of how the function changes as its input changes. More specifically, the derivative of a function at a certain point is the instantaneous rate of change of the function at that point.

To find f'(0), we first need to find the derivative of f(x) with respect to x. Using the chain rule, we get:

\(f'(x) = 1 / (x+4+e^{(-3x)}) * (1 - 3e^{(-3x)})\)

Now we can find f'(0) by substituting the value x=0:

\(f'(0) = 1 / (0+4+e^{(-3(0))}) * (1 - 3e^{(-3(0))})\)

f'(0) = 1 / (4+1) * (1 - 3)

f'(0) = -2/5

Therefore, f'(0) = -2/5.

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Answer:

r = 6

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to \(\frac{3}{2}\)

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = ( 3, - 6) and (x₂, y₂ ) = (11, r)

m = \(\frac{r+6}{11-3}\) = \(\frac{r+6}{8}\) = \(\frac{3}{2}\) ( cross- multiply )

2(r + 6) = 24 ( divide both sides by 2 )

r + 6 = 12 ( subtract 6 from both sides )

r = 6

Answer:

-6

Step-by-step explanation:

-6 is the y-intercept :)

Stratified Sampling separates the population into nonoverlapping groups. By using specific criteria to split the population, we may use this strategy to draw a proportional random sample from each division.

The population is divided into non-overlapping groups or strata, and a proportional simple random sample is taken from each stratum to create a stratified sample. Each group's members ought to have some things in common. We must choose the number of people to choose from each stratum after the strata have been established. Here, the proportionality of the chosen number is crucial. In order to make the characteristic of interest more homogeneous inside a stratum than between strata, strata are based on information other than the characteristic being measured that is known to or thought to fluctuate with the characteristic of interest. Hence, strata can be defined based on any property that explains variation in the characteristic of interest.

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Answer:

7-4*(-1)

7-4*(-1)7+4

7-4*(-1)7+411

Step-by-step explanation:

hope it will help u

Answer:

A(- 1) = 11

Step-by-step explanation:

Substitute x = - 1 into A(x) , that is

A(- 1) = 7 - 4(- 1) = 7 + 4 = 11

Value of \(a_{6}\) = \(-31251\)

Given,

First term = \(a_{1}\) =  -2  

\(a_{n} = -5a_{n} - 1\)

Now,

According to geometric sequence,

Standard form of geometric sequence :

a , ar , ar² , ar³ ...

nth term = \(a_{n} = a r^n-1} (or ) a_{n} = r a_{n} - 1\)

So compare \(a_{n}\) with standard form,

r = -5

\(a_{6} = -2(-5)^6 -1\)

\(a_{6} = -31251\)

Hence the value of sixth term of the geometric sequence :

\(a_{6} = -31251\)

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:x=25

Step-by-step explanation:

19=x-6

+6 +6

25=x

x=25

The probability of getting heads twice in a row at some point during three coin flips is 1/8.

Given info;

Assume that a fair coin has an equal chance of coming up heads or tails.

What is the likelihood that three coin flips will result in two consecutive heads at any point?

There is a three-coin flip. The potential results are;

(HHH) (HHT) (HTH) (HTT) (HTT) (THH) (THT) (TTH) (TTT)

1 is the number of successful results.

Probability is calculated as follows: Probability = Number of favorable Results / Total Number of Results = 1/8

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