Point A is at-4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?
A
B
-54-3 -2 -1 0 1 2 3 4 5 6 7 8
O For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so the point that divides AB into a 3:2
ratio is 0.
O For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so the point that divides AB into a
3:2 ratio is 3.
O For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a
3:2 ratio is 1.
O For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a
3:2 ratio is 2

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

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Answer:

He started with $190

Answer:

190

Step-by-step explanation:

because $70 + $120 gives us $190 of how we got the answer is before he spending the 70$ he had $190.

Answer:

c. non-linear and increasing

Step-by-step explanation:

The blue line represents the curve of the function that is being integrated. The green line represents the area under the curve between the lower and upper limits of integration. The yellow line represents the area between the two points on the curve. The red dot is the lower limit of integration, and the yellow dot is the upper limit of integration.

Integration is a way of finding the area under a function. The lower limit of integration is the point at which the area starts to be measured, while the upper limit of integration is the point at which the area stops being measured.

When calculating the area under the curve between two points, the lower and upper limits of integration can be identified by the red and yellow dots.

To calculate the area between the two points, we will use the formula for integration. This involves taking the integral of the function between the lower and upper limits of integration. This is done by summing the area of each small slice of the function between the two points.

Once the area under the curve is found, it can be compared to the area represented by the green line. If the green line is larger than the area under the curve, then the area under the curve will be negative. If the area under the curve is larger than the green line, then the area under the curve will be positive.

By comparing the green line to the area under the curve, it is possible to determine whether the area is positive or negative. This can help to solve mathematical problems that require integration.

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Answer:

A.5

Step-by-step explanation:

divide 40 by 7 which is equal to 5

Answer:

-19

Step-by-step explanation:

Simplify the following:

(2 - 3) 4×4 - 9/3

The gcd of -9 and 3 is 3, so (-9)/3 = (3 (-3))/(3×1) = 3/3×-3 = -3:

(2 - 3) 4×4 + -3

2 - 3 = -1:

-1×4×4 - 3

-4×4 = -16:

-16 - 3

-16 - 3 = -(16 + 3):

-(16 + 3)

16 + 3 = 19:

Answer:  -19

Answer:

the edge answer is 1 i had trouble finding it so i put it myself

Step-by-step explanation:

Respuesta:

B) x = 4 e y = 8

Explicación paso a paso:

Busque la imagen de la pregunta adjunta a continuación;

Tomando la razón de los lados similares y equiparándolos a una constante k dará;

De los triángulos dados;

AC = PR y BC = QR

Si AC = PR, entonces;

9 = 2x + 1

Intercambio

2x + 1 = 9

2x = 9 - 1

2x = 8

x = 8/2

x = 4

De manera similar, si BC = QR, entonces;

y - 3 = 5

y = 5 + 3

y = 8

Por lo tanto, los valores de xey son 4 y 8 respectivamente.

Answer:

i think this is the answer

The distance from point A to point C and the bearing from point A to point C is 229.5 miles.

Given that:

AB = 370 miles

angle A = 24 degrees

BC = 240 miles

angle B = 37 degrees 

To determine the distance from point A to C, we can use the cosine law since we are given two angles and two sides of a regular triangle. 

The angle opposite side AC is angle B which is equal to 37 degrees. 

(AC)^2 =(AB)^2 + (BC)^2 - 2(AB)(BC)cos(B)

Now we have to solve for AC:

(AC)^2 =(370)^2 + (240)^2 - 2(370)(240)cos(37) 

AC = 229.48 miles.

Hence the answer is, the distance from point A to point C and the bearing from point A to point C is 229.5 miles. 

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Answer:

6/25

Step-by-step explanation:

.24 = 24/100 = 6/25

Answer:

6/25

Step-by-step explanation:

step 1 The decimal number = 0.24

step 2 Write it as a fraction

0.24/1

step 3 Multiply 100 to both numerator & denominator

(0.24 x 100)/(1 x 100) = 24/100

It can be written as 24% = 24/100 or 24/100

step 4 To simplify 24/100 to its lowest terms, find LCM (Least Common Multiple) for 24 & 100.

4 is the LCM for 24 & 100

step 5 divide numerator & denominator by 4

24/100 = (24 / 4) / (100 / 4)

= 6/25

6/25 is a simplest fraction for the decimal point number 0.24

Answer:

3 &5

Step-by-step explanation:

Equivalent expressions are mathematical expressions that are equal to or the same as each other.

The two options are: 5.6b + 3.4a and 3.4a Plus 5.6b

We are given the expression

(–2.4a – 1.8b) – (–3.8a – 4.4b) + (2.0a + 3.0b)

–2.4a – 1.8b + 3.8a + 4.4b+ 2.0a + 3.0b

-2.4a +3.8a + 2.0a -1.8b +4.4b +3.0b

= 3.4a + 5.6b

We can also rewrite it as 56b + 3.4a or we can write it in words as 3.4a plus 5.6b

Therefore, the two options are :  5.6b + 3.4a and 3.4a Plus 5.6b

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Answer: Definition of Supplementary/ Supplement Theorem Two angles are supplementary if and only if their sum is 180 degrees.

Step-by-step explanation:

Answer:

82.8

Step-by-step explanation:

Formula

multiply the length value by 36

Answer: 4units^2

Step-by-step explanation:

B*H/2

4*2/2= 4

So 4units^2 is the area

Answer:

4 unit²

Step-by-step explanation:

Here,

base = 2

height = 4

Area of the triangle = 1/2 x base x height

= 1/2 x 2 x 4

= 4 unit²

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

(a) The composition of the mixture in mole percent is approximately 94.1% H2 and 5.9% O2.

(b) The composition of the mixture in mole percent is approximately 51.5% CH4 and 48.5% NH3.

To calculate the partial pressure of each gas, the total pressure, and the composition of the mixture in mole percent, we need to follow a step-by-step approach. Let's go through each case:

a. 1.00g H2 and 1.00g O2:
First, we need to calculate the number of moles for each gas using their molar masses. The molar mass of H2 is 2 g/mol, and the molar mass of O2 is 32 g/mol. Therefore, we have:
- Moles of H2 = 1.00 g / 2 g/mol = 0.50 mol
- Moles of O2 = 1.00 g / 32 g/mol = 0.03125 mol

Since there is no reaction mentioned, we can assume that the gases are mixed without reacting. Hence, the partial pressure of each gas is equal to the product of its mole fraction and the total pressure.

The mole fraction of H2 is given by:
- Mole fraction of H2 = Moles of H2 / (Moles of H2 + Moles of O2) = 0.50 mol / (0.50 mol + 0.03125 mol) ≈ 0.941.

The mole fraction of O2 is given by:
- Mole fraction of O2 = Moles of O2 / (Moles of H2 + Moles of O2) = 0.03125 mol / (0.50 mol + 0.03125 mol) ≈ 0.059.

Now, let's assume the total pressure is P. The partial pressure of H2 is equal to its mole fraction multiplied by the total pressure:
- Partial pressure of H2 = Mole fraction of H2 × Total pressure = 0.941 × P

Similarly, the partial pressure of O2 is:
- Partial pressure of O2 = Mole fraction of O2 × Total pressure = 0.059 × P

The total pressure of the gas mixture is equal to the sum of the partial pressures:
- Total pressure = Partial pressure of H2 + Partial pressure of O2 = 0.941P + 0.059P = P.

Thus, the total pressure of the gas mixture is equal to the partial pressures of each gas.

To determine the composition of the mixture in mole percent, we can convert the mole fractions to percentages. To do this, we multiply the mole fractions by 100:
- Composition of H2 = Mole fraction of H2 × 100 = 0.941 × 100 ≈ 94.1%.
- Composition of O2 = Mole fraction of O2 × 100 = 0.059 × 100 ≈ 5.9%.

Therefore, the composition of the mixture in mole percent is approximately 94.1% H2 and 5.9% O2.

b. 1.00g N2 and 1.00g O2:
Using the same approach as above, we can calculate the moles of each gas:
- Moles of N2 = 1.00 g / 28 g/mol = 0.03571 mol
- Moles of O2 = 1.00 g / 32 g/mol = 0.03125 mol

The mole fractions are:
- Mole fraction of N2 = 0.03571 mol / (0.03571 mol + 0.03125 mol) ≈ 0.533
- Mole fraction of O2 = 0.03125 mol / (0.03571 mol + 0.03125 mol) ≈ 0.467

The partial pressures are:
- Partial pressure of N2 = 0.533 × P
- Partial pressure of O2 = 0.467 × P

The total pressure is equal to the sum of the partial pressures:
- Total pressure = Partial pressure of N2 + Partial pressure of O2 = 0.533P + 0.467P = P

The composition of the mixture in mole percent is approximately 53.3% N2 and 46.7% O2.

c. 1.00g CH4 and 1.00g NH3:
Calculating the moles of each gas:
- Moles of CH4 = 1.00 g / 16 g/mol = 0.0625 mol
- Moles of NH3 = 1.00 g / 17 g/mol = 0.05882 mol

The mole fractions are:
- Mole fraction of CH4 = 0.0625 mol / (0.0625 mol + 0.05882 mol) ≈ 0.515
- Mole fraction of NH3 = 0.05882 mol / (0.0625 mol + 0.05882 mol) ≈ 0.485

The partial pressures are:
- Partial pressure of CH4 = 0.515 × P
- Partial pressure of NH3 = 0.485 × P

The total pressure is equal to the sum of the partial pressures:
- Total pressure = Partial pressure of CH4 + Partial pressure of NH3 = 0.515P + 0.485P = P

The composition of the mixture in mole percent is approximately 51.5% CH4 and 48.5% NH3.

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The probability of getting heads up is 5/6, or approximately 0.833.

There are three coins in the box, so the probability of picking any one of them at random is 1/3.

Let's consider the probability of getting heads up for each of the three coins:

For the two regular coins, the probability of getting heads up is 1/2, since they are fair coins.

For the fake two-headed coin, the probability of getting heads up is 1, since both sides are heads.

So, the overall probability of getting heads up depends on which coin is selected.

If you select one of the regular coins, the probability of getting heads up is 1/2.

If you select the fake two-headed coin, the probability of getting heads up is 1.

The probability of selecting one of the regular coins is 2/3, since there are two regular coins out of the total of three coins.

Therefore, the overall probability of getting heads up when you pick a coin at random and toss it is:

(2/3) x (1/2) + (1/3) x (1) = 2/6 + 3/6 = 5/6.  

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EXPLANATION

Since we have that the cost per linear foot is $110, and by applying the Pytagorean Theorem, we can get the value of the new street as shown as follows:

Where shorter leg = 6 , larger leg = 9 and Hypotenuse = New Street

Substituting terms:

Applying the square root to both sides:

Simplifying:

Representing the length in ft units:

Finally, the cost per linear foot will be:

The cost of the street will be of $6,284,256

Answer: 341.4286

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

Step-by-step explanation:

5x-16 = 3 (10+x)

=> x= 23

The measure of length segment QR is 39.

We have,

From the figure,

We have two similar triangles.

ΔPQR and ΔSTR

Now,

The ratio of the corresponding sides is equal.

So,

TR/QR = RS/RP

15/QR = 22.5/58.5

QR = (15 x 58.5) / 22.5

QR = 877.5/22.5

QR = 39

Thus,

The measure of QR is 39.

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For a researcher's sample of cigarette smoker with average 31 cigarettes a day, as t( critical value) > 0.05, so Null hypothesis can't be rejected and it concludes that the true mean number of cigarettes smoked per day is greater than 31, α=0.05.

We have a researcher who see that a cigarette smoker smokes on average 31 cigarettes a day. So, population or true mean = 31

Now, a sample of smokers is considered with Sample size, n = 10

Mean number of cigarettes they smoked per day = 28

Standard deviations = 2.7

level of significance = 0.05

We have to check the claim of researcher is true. Consider null and alternative hypothesis as right tailed, \(H_ 0 : \mu = 31\)

\(H_ a : \mu > 31\)

Using t- test for test statistic value :

\(t= \frac{\bar X -\mu}{ \frac{\sigma }{\sqrt{n}}}\)

Substitute all known values,

\(t= \frac{ 28 - 31}{ \frac{ 2.7 }{\sqrt{10} }}

\)

\(= \frac{ - 3}{ \frac{ 2.7 }{\sqrt{10} }}\)

= - 3.51364184463

degree of freedom, df = n - 1 = 9

From the t distribution table, the critical value for \(d_f = 9 \: and \: \alpha = 0.05\) is equals to 1.833. Since our computed t( critical) = 1.833 > 0.05, is not in the rejection region, we do not reject the null hypothesis. Hence, There is not enough evidence to support claim.

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For a researcher's sample of cigarette smoker with average 31 cigarettes a day, as t( critical value) > 0.05, so Null hypothesis can't be rejected and it concludes that the true mean number of cigarettes smoked per day is greater than 31, α=0.05.

We have a researcher who see that a cigarette smoker smokes on average 31 cigarettes a day. So, population or true mean = 31

Now, a sample of smokers is considered with Sample size, n = 10

Mean number of cigarettes they smoked per day = 28

Standard deviations = 2.7

level of significance = 0.05

We have to check the claim of researcher is true. Consider null and alternative hypothesis as right tailed,

Using t- test for test statistic value :

Substitute all known values,

= - 3.51364184463

degree of freedom, df = n - 1 = 9

From the t distribution table, the critical value for  is equals to 1.833. Since our computed t( critical) = 1.833 > 0.05, is not in the rejection region, we do not reject the null hypothesis. Hence, There is not enough evidence to support claim.

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Answer: x=6.5

Step-by-step explanation:

3(2x - 4) = 8 + 2x + 6

6x-12=14+2x

4x-12=14

4x=26

x=26/4

x=6.5

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

⇛ x = 90° + 46°

⇛ x = 136°

Answer:

D. 19,200 to 30,800 total hours spent in the park.

Step-by-step explanation:

A confidence interval is obtained as the sample mean plus/minus the margin of error.

For this problem, the parameters are given as follows:

Sample mean: 6.25 hours.

Margin of error: 1.45 hours.

Hence the bounds of the interval for the mean amount of time that people spent in the part are of:

Lower bound: 6.25 - 1.45 = 4.80 hours.

Upper bound: 6.25 + 1.45 = 7.70 hours.

Considering the 4,000 people on the park each day, the bounds of the range of total hours are given as follows:

Lower bound: 4000 x 4.80 = 19,200 hours.

Upper bound: 4000 x 7.70 = 30,800 hours.