Help pls step by step explanation and awnser

Answer:

36

Step-by-step explanation:

Answer:

Solution,

X = 16 [ Given]

Now,

\(x - ( - 20)\)

Plugging the value of X

\(16 - ( - 20)\)

\( = 16 + 20\)

\( = 36\)

Hope this helps..

Good luck on your assignment..

- 57m + 9

Hi there !

−7(9m − 2) + (−5 + 6m) =

= -7×9m - 7×(-2) - 5 + 6m

= - 63m + 14 - 5 + 6m

= - 57m + 9

Good luck !

We can drag the particles in mass/grams measurement to the corresponding descriptions as follows:

1.  1.6744 × 10⁻²⁴: Two electrons and 0ne proton

2. 5.021 × 10⁻²⁴: Two protons and one neutron

3. 5.0224 × 10⁻²⁴: One proton and two neutrons

4. 3.3484  × 10⁻²⁴: One electron, one proton, and one neutron

To match the measurements to the descriptions first note that one neutron is 1.6749 × 10⁻²⁴. One proton is equal to  1.6726 × 10⁻²⁴ and one electron is equal to  9.108 × 10⁻²⁸.

To obtain the right combinations, we have to add up the particles to arrive at the constituents. So, for the figure;

1.6744 × 10⁻²⁴, we would

Add 2 electrons and one proton

= 2(9.108 × 10⁻²⁸) + 1.6726 × 10⁻²⁴

= 1.6744 × 10⁻²⁴

The same applies to the other combinations.

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If the query ?- factorial(2, 5) is asked, it means we are attempting to compute the factorial of 2 and store the result in the variable fac, which is initially set to 5.

According to the factorial rule stated, fac will be assigned the value of n!, which is the factorial of 2. The factorial of 2 is computed by multiplying all positive integers from 1 to 2, resulting in 2 x 1 = 2.

However, in this query, fac is initially set to 5. Therefore, the computation of factorial(2) does not affect the value of fac, and the output remains as fac = 5.

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The depth of the water increasing when the water is 13 feet deep is approximately 1.68 feet per minutes.

We know that the conical water tank has a radius of 12 feet and is 26 feet high.

We also know that water is flowing into the tank at a rate of 30ft³/min. In other words, our derivative of the volume with respect to time t is:

                                   \(\frac{dV}{dt} = \frac{10 ft^3}{min}\)

We want to find how fast the depth of the water is increasing when the water is 13 feet deep. So, we want to find dh/ dt.

First, remember that the volume for a cone is given by the formula:

                V = 1/3 π r² h    

We want to find dh/dt. So, let's take the derivative of both sides with respect to the time t. However, first, let's put the equation in terms of h.

We can see that we have two similar triangles. So, we can write the following proportion:

         \(\frac{r}{h} = \frac{12}{36}\)

Multiply both sides by h:

    ⇒ \(r = \frac{12}{36} h\)

So, let's substitute this in r:

\(V = \frac{1}{3} \pi \frac{12}{36} h^{2} h\)

Square:

\(V = \frac{1}{3} \pi \frac{144}{3888} (h^{2} ) h\)

Simplify:

\(V = \frac{144}{3888} \pi h^{2}\)

Now, let's take the derivative of both sides with respect to t:

\(\frac{d}{dt} (V) = \frac{d}{dt} [\frac{144}{3888} ] \pi h^{3}\)

Simplify:

\(\frac{dV}{dt} =\frac{144}{3888} \pi (3h^{2} ) \frac{dh}{dt}\)

We want to find dh/dt when the water is 13 feet deep. So, let's substitute 13 for h. Also, let's substitute 10 for dV/dt. This yields:

\(10 = \frac{144}{3888} \pi (3(13^{2} ) \frac{dh}{dt}\)

\(10 = \frac{144}{3888} \pi (507) \frac{dh}{dt}\)

\(10 = \frac{73008}{3888} \pi \frac{dh}{dt}\)

\(38880 = 73008 \pi \frac{dh}{dt}\)

\(\frac{dh}{dt} = \frac{38880}{73008} \pi\)

\(\frac{dh}{dt} = \frac{38880}{73008} X\frac{22}{7}\)

≈ 1.6737109 feet / min

The water is rising at a rate of approximately 1.68 feet per minute.

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Answer:

10 degrees

Step-by-step explanation:

12-7=5 hours

40-(6X5)=10 degrees

The domain of the function f(x) = log_b(x) in interval notation is (0, +∞). The range of the function depends on the base b.

The domain of the logarithmic function f(x) = log_b(x) is determined by the requirement that the argument of the logarithm, x, must be positive. Since the logarithm is undefined for zero and negative numbers, the domain excludes these values. Therefore, the domain is expressed in interval notation as (0, +∞), where the parentheses indicate that zero is not included and the positive infinity symbol indicates that the domain extends indefinitely towards positive numbers.

The range of the logarithmic function depends on the base b. If the base b is greater than 1, the function can output any real number as the exponent increases or decreases, leading to a range of (-∞, +∞), covering all possible real numbers. However, if the base b is between 0 and 1, the logarithmic function only outputs negative numbers. As the exponent increases or decreases, the value of the logarithm approaches negative infinity, resulting in a range of (-∞, 0). This signifies that the range consists of all negative real numbers, but does not include zero or positive numbers.

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The force acting on the object is 25 N when the acceleration of the object becomes 5 m/s².

According to the problem, the force (F) varies directly with the object's acceleration (a), which can be expressed as F = k × a, where k is the proportionality constant. To find the value of k, we can use the given information that when F = 15 N, a = 3 m/s²:

15 N = k × 3 m/s²

k = 5 Ns²/m

Now, we can use the value of k to find the force (F) when the acceleration (a) becomes 5 m/s²:

F = k × a

F = 5 Ns²/m × 5 m/s²

F = 25 N

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Ariel takes 0.52 pages of notes for an hour of class.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

From the information given,

The number of note pages per hour Ariel makes can be obtained by dividing the total number of pages by the total hours which is,

= (45/86) pages.

= 0.52 papes.

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Answer:

A

Step-by-step explanation:

Yes , h(x) is a composite function

A composite function involves putting one function into another

In this case;

x^5 will be the outside function while what we have in the bracket is the inner function

The expected number of people who will drop out due to either relapse or moving away is 10 + 6 = 16. However, taking into account the standard deviations, it is 16 +/- 5.

To find the expected number of people who will drop out due to either relapse or moving away, we need to add the expected number of people who will drop out due to relapse (10) and the expected number of people who will drop out due to moving away (6).

Expected number of people who will drop out due to either relapse or moving away = 10 + 6 = 16.

However, we also need to take into account the standard deviations for each of these groups. To do this, we can use the square root of the sum of the variances (SD squared) for each group, squared.

Variances:
- Relapse: 4 squared = 16
- Moving away: 3 squared = 9

Square root of the sum of the variances:
- sqrt(16 + 9) = 5

Therefore, the expected number of people who will drop out due to either relapse or moving away, taking into account the standard deviations, is 16 +/- 5.

This means that we can expect anywhere between 11 and 21 people to drop out due to either relapse or moving away during the two-year cohort study.

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Answer:

hexagon-6 sides

heptagon-7 sides

interior angle-inside angle

equilateral triangle-a trianglr ehose sides are all the same

equilateral-having sides of equal length

hexagon -- a polygon with 6 sides

heptagon -- a polygon with 7 sides

interior angles -- inside angles

equilateral triangle -- a triangles whose sides are all the same length

equilateral -- having sides of equal length

Answer:

The kinetic energy of the car is 0.466 J

Correct Answer: A. 0.466 J Explanation: If there is no friction, all of the gravitational potential energy of the car at the top of the hill will be converted to kinetic energy at the bottom of the hill. The potential energy of the car is equal to the product of its mass, height, and gravitational acceleration.0.05 kg • 0.95 m • 9.81 m/s2 = 0.466 J.

Answer:

40

Step-by-step explanation:

Fiona: Pip

3            1

If fiona gets 30

30/3 = 10

Multiply each side by 10

Fiona: Pip

3*10       1*10

30             10

The total is 30 +10 = 40  

Answer:

No, it is not a function

Step-by-step explanation:

Using the vertical line test, you would find that it would hit two points, making it not a funtion.

Answer:

x-4

Step-by-step explanation:

If x>4, |x-4|>0 which means |x-4|=x-4

Step-by-step explanation:

from above figure calculate from the calculator and the right answer will be .....

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

The work done by the force on the object is W∈ = -2.20 x 104 Nm.

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Answer:

-112

Step-by-step explanation:

Simplified:-40 - 72=-112

Answer:

31*

Step-by-step explanation:

right triangle means 90* so 90*-59* = 31*

Answer:

31 degrees

Step-by-step explanation:

The researcher can conclude that there is a statistically significant difference in the mean number of complaints between people living on the West Coast and those living in the Northeast.

To determine if there are geographical differences in how much people complain between the Northeast and the West Coast, we can conduct a hypothesis test.

Null hypothesis (H0): There is no difference in the mean number of complaints between the Northeast and the West Coast.

Alternative hypothesis (H1): There is a difference in the mean number of complaints between the Northeast and the West Coast.

Given the sample statistics, we can perform a two-sample independent t-test to compare the means of the two groups.

Let's calculate the test statistic and compare it to the critical value at a significance level of α = 0.05.

The West Coast sample has a mean (x1) of 9.5 and a standard deviation (s1) of 2.8, with a sample size (n1) of 20.

The Northeast sample has a mean (x2) of 15.5 and a standard deviation (s2) of 3.8, with a sample size (n2) of 20.

Using the formula for the pooled standard deviation (sp), we can calculate the test statistic (t):

sp = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

t = (x1 - x2) / (sp * sqrt(1/n1 + 1/n2))

Calculating the test statistic:

sp = sqrt(((19 * 2.8^2) + (19 * 3.8^2)) / (20 + 20 - 2)) ≈ 3.273

t = (9.5 - 15.5) / (3.273 * sqrt(1/20 + 1/20)) ≈ -4.63

Using a t-table or a statistical calculator, we can find the critical value for a two-tailed t-test with α = 0.05 and degrees of freedom (df) = n1 + n2 - 2 = 38. The critical value is approximately ±2.024.

Since the absolute value of the test statistic (4.63) is greater than the critical value (2.024), we reject the null hypothesis.

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Answer:

x = 6\(\sqrt{2}\) = 8.485

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is \(\sqrt{2}\) times the length of a leg.

So, if you are given the hypotenuse, then divide its length by \(\sqrt{2}\)

x = 12/\(\sqrt{2}\) = 12\(\sqrt{2}\)/2 = 6\(\sqrt{2}\) = 8.485

Answer:

eqn of line : x-3y=15

slope1=m= -coefficient of x/coefficient of y=1/3

As lines are parallel slope must be equal.

slope3=m'=1/3

passing points of second line =(0,7)

eqn of line = (y-y')=m(x-x')

=(y-7)=1/3(x-0)

=y-7=1/3x

=1/3x-y+7=0

=x-3y+21=0

Step-by-step explanation:

Answer: 79°

Step-by-step explanation:

A straight line is equivalent to 180 degrees. Looking at the bottom right of the figure, the angles 110, 51, and 'w' must add up to form 180 degrees:

\(110+51+w=180\)

\(161+w=180\)

\(w=19\)

Since the angle 60 degrees and the angle 'v' share the same vertex, it must follow that they are equal to each other. We can find the angle 'x' knowing that the sum of the angles inside a triangle add up to 180 degrees:

\(x+60+19=180\)

\(x+79=180\)

\(x=101\)

Now, the angles involving 'x' and 'y' form a straight line and must add up to 180 degrees:

\(x+y=180\)

\(101+y=180\)

\(y=79\)

Answer:

y = 79

Step-by-step explanation:

∠ v and 60° are vertically opposite angles and are congruent , then

v = 60

51° , w, 110° lie on a straight line and sum to 180° , that is

51 + w + 110 = 180

161 + w = 180 ( subtract 101 from both sides )

w = 19

the sum of the 3 angles in a triangle = 180° , so

x + v + w = 180 , that is

x + 60 + 19 = 180

x + 79 = 180 ( subtract 79 from both sides )

x = 101

x and y are adjacent angles on a straight line and sum to 180° , then

x + y = 180

101 + y = 180 ( subtract 101 from both sides )

y = 79