Of the following answer choices, which is the best estimate of the correlation coefficient r for the plot of data shown here? Scatterplot

384,000 bacteria would be present at the end of 7 hours if it doubles itself every hour.

Initial number of bacteria=3000

Number of bacteria at the end = initial number of bacteria * (base)ⁿ

where, n= number of hours

Number of bacteria at the end=3000*2⁷

                                                    =3000*128

                                                     =384,000

Therefore, there will be 384000 bacteria at the end of seven hour if the bacteria doubles itself every hour.

To find similar problems visit;

https://brainly.com/question/29432536

#SPJ4

The required heat equation is u(x, t) = (A×cos(λx) + B×sin(λx)) × exp(-λ²t)

To solve the heat equation in the given interval [-6, 0], we can use the separation of variables method. Let's denote the dependent variable as u(x, t), where x represents the spatial variable and t represents the temporal variable.

The heat equation in one dimension is given by:

∂u/∂t = α ∂²u/∂x²,

where α is the thermal diffusivity constant.

To solve this equation, we assume that the solution can be represented as a product of two functions, each depending on a single variable:

u(x, t) = X(x)T(t).

Substituting this into the heat equation, we have:

X(x)T'(t) = αX''(x)T(t),

where prime (') denotes differentiation with respect to the variable.

Dividing both sides by αX(x)T(t), we get:

T'(t)/T(t) = αX''(x)/X(x).

Since the left side depends only on t and the right side depends only on x, both sides must be equal to a constant, which we'll denote as -λ²:

T'(t)/T(t) = -λ² = αX''(x)/X(x).

Now, let's solve the temporal part of the equation:

T'(t)/T(t) = -λ²

This is a separable ordinary differential equation (ODE), and its general solution is given by:

T(t) = exp(-λ²t).

Next, let's solve the spatial part of the equation:

αX''(x)/X(x) = -λ².

This is also a separable ODE, and its general solution is given by:

X(x) = A×cos(λx) + B×sin(λx),

where A and B are arbitrary constants.

Therefore, the general solution to the heat equation is:

u(x, t) = (A×cos(λx) + B×sin(λx)) × exp(-λ²t).

Since we have the given interval [-6, 0], we can apply appropriate boundary conditions to determine the values of A, B, and λ that satisfy the problem.

To learn more about heat equation: https://brainly.com/question/13415835

#SPJ11

The values for the standardized normal distribution are: a. zo ≈ 1.645 b. zo ≈ -1.880

To determine the value zo for the given probabilities, we can refer to the standard normal table. This table provides the cumulative probability values for the standard normal distribution, which has a mean of 0 and a standard deviation of 1.

a. To find zo such that P(0 < z < zo) = 0.095, we need to find the z-score that corresponds to a cumulative probability of 0.095. Looking up this value in the standard normal table, we find that a cumulative probability of 0.095 corresponds to a z-score of approximately 1.645.

b. To find zo such that P(z ≤ zo) = 0.03, we need to find the z-score that corresponds to a cumulative probability of 0.03. Looking up this value in the standard normal table, we find that a cumulative probability of 0.03 corresponds to a z-score of approximately -1.880.

Therefore, the values are: a. zo ≈ 1.645 b. zo ≈ -1.880

Learn more About standardized from the link

https://brainly.com/question/32745256

#SPJ11

If angle b is five times the size of angle c, the equation can be used to find the measure of angle is 5x+x=90°.

because complementary angles complete each other to 90 degrees.

These angles b and c add up to 90° because they are complementary.

Let's say angle C is named x.

angle b is five times the size of angle c, this can be written: 5x

Complementary angles add up 90°, so angle B add angle C equal 90°

the equation to find the measure of angle C is 5x+x = 90°.

Types of angles are one of the materials in mathematics that you always encounter at every level of education. Learning about angles is very important, because angles are always present in everyday life and need to be identified.

An angle is a shape formed by two rays having an endpoint at one point. In angles, terms such as the leg of the angle, vertex, and area of the angle are also found.

The legs of the angle are the lines forming the angle. The vertex is the point where the two legs of the angle intersect, and the area of the angle is the area bounded by the two legs of the angle.

Your question is incomplete but most probably your full question was:

Only Interaction Angle B and angle C are complementary: If angle B is five times the size of angle C which equation can be used to find the measure of angle C?

5x+x=180

5x = 180

5x+x=9

5x = 90

Learn more about angle in math at

https://brainly.com/question/14569348.

#SPJ4

Answer:

7

Step-by-step explanation:

each wand = 2 so you add the wands and multiply the wands by 2

then you divide the answer to the last calculation by 4

which is 28 divided by 4

which = 7

The mean of the data is 7.

The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

Given:

Glenda = 2 x 2= 4 wands

Tink = 3 x 2= 6 wands

Merry = 4 x 2= 8 wands

Gracie = 5 x 2= 10 wands'

So, Arithmetic Mean = (Sum of wands) / (Total number of wands)

                                  = (4+ 6 +8 + 10)/4

                                  = 28/4

                                  = 7

Hence, the mean is 7.

Learn more about Arithmetic Mean here:

https://brainly.com/question/13000783

#SPJ2

Answer:

If it's a square blanket, then the length and width are the same. Try finding the area squared when in this kind of scenario. Answer: 12.

Answer:

12 inches

Explanation:

12*12=144

-

(2x + 9) (6x + 6)

- Apply the distributive property by multiplying each term of 2x + 9 by each term of 6x + 6.

\(12x^{2}\) + 12x + 54x + 54

- Combine 12x and 54x to get 66x.

ANSWER :

\(12x^{2}\) + 66x + 54

Answer:

See below.

Step-by-step explanation:

(2x+9)(6x+6)

2x(6x) + 2x(6) = 12x² + 12x

9(6x) + 9(6) = 54x + 54

Combine like terms.

12x²+66x+54

-hope it helps

There are 3,003 ways to select a committee of five from the 15 students in the student council.

To calculate the number of ways to select a committee of five from a group of 15 students, we can use the combination formula. The formula for combination, denoted as "n choose r," calculates the number of ways to choose r items from a set of n items without considering the order.

In this case, we want to choose a committee of five from a group of 15 students. Using the combination formula, we can calculate it as:

C(15, 5) = 15! / (5! * (15-5)!)

where "!" denotes factorial. Simplifying the expression:

C(15, 5) = 15! / (5! * 10!)

The factorial of a number is the product of all positive integers less than or equal to that number. In this case:

15! = 15 * 14 * 13 * 12 * 11 * 10!

Cancelling out the common terms:

C(15, 5) = (15 * 14 * 13 * 12 * 11) / (5 * 4 * 3 * 2 * 1)

Simplifying the expression further:

C(15, 5) = 3,003

Therefore, there are 3,003 ways to select a committee of five from the 15 students in the student council.

Learn more about committee:

brainly.com/question/31624606

#SPJ11

The length of AC is 5√17 cm. The height of the pyramid is 5√5 cm. The angle between VC and the base ABCD is approximately 25.84°.The angle AVB is approximately 29.9°The angle AVC is approximately 32.5°.

Given information:

In the square-based pyramid, V is vertically above the middle of the base, AB = 10 cm and VC = 20 cm.

There are different parts to the problem statement, which will be addressed one by one.

Let's begin with the first part of the problem statement.

a) AC we have a square pyramid where the vertex is directly above the center of the square.

Given that the distance VC is 20cm and AB is 10cm, let's consider the right-angled triangle ACD.

We can use the Pythagorean theorem to find the length of AC,AC² = AD² + DC²AC² = (AB/2)² + VC²AC² = (10/2)² + 20²AC² = 25 + 400AC = √425AC = 5√17 cm.

b) Height of the pyramid we can calculate the height of the pyramid by finding the length of the line AV.

Since the vertex V is vertically above the center of the square base, the height and the line from the center of the base to V are perpendicular.

The height of the pyramid is the length of AV.

We can use the right-angled triangle AVD to find the length of

AV,AV² = AD² + DV²AV² = AD² + (VC - DC)²AV² = (AB/2)² + (VC - DC)²AV² = 25 + 10²AV² = 25 + 100AV² = 125AV = √125 cm = 5√5 cm)

(c) Angle between VC and the base ABCD we can find the angle between VC and the base ABCD by using the right-angled triangle ACD that we considered in part (a) of this problem statement.

The angle between VC and AC can be calculated as follows :tan θ = DC/ADθ = tan⁻¹(DC/AD)Since AC = 5√17 cm, we can find the length of DC by subtracting 10/2 from AC,DC = AC - 5DC = 5(√17 - 1) cm.

Therefore,θ = tan⁻¹(DC/AD)θ = tan⁻¹((5(√17 - 1))/10)θ = 25.84° (nearest degree).

d) Angle AVB we can find the angle AVB by considering the right-angled triangle ABV, cos θ = AB/AVθ = cos⁻¹(AB/AV)θ = cos⁻¹(10/(5√5))θ = 29.9° (nearest degree).

e) Angle AVC we can find the angle AVC by considering the right-angled triangle AVD,cos θ = DV/AVθ = cos⁻¹(DV/AV)DV = VC - DC = 5(√17 - 1) cos θ = (5(√17 - 1))/√125θ = cos⁻¹((5(√17 - 1))/√125)θ = 32.5° (nearest degree) .

To know more about triangle , visit ;

https://brainly.com/question/1058720

#SPJ11

The solution to the system of equations is (45, –30)

The equations are given as:

y =-4/5x + 6

y = –30

Substitute y = –30  in y =-4/5x + 6

-30 =-4/5x + 6

Subtract 6 from both sides

-36 = -4/5x

Divide both sides by -4

9 = 1/5x

Multiply both sides by 5

x = 45

So, we have:

(x,y) = (45, –30)

Hence, the solution to the system of equations is (45, –30)

Read more about system of equations at:

https://brainly.com/question/14323743

#SPJ4

Answer:

(45, –30)

Step-by-step explanation:

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

Learn more about SAS ,ASA ,AAS, SSS from the link below

https://brainly.com/question/29617415

#SPJ4

Answer:

x = 92/11

Step-by-step explanation:

10x + 1 + 12x - 5 = 180

*group the like terms*

(10x + 12x) + (1-5) = 180

*simplify*

22x - 4 = 180

*add four on both sides to cancel out -4*

+4. +4

*simplify*

22x = 184

*divide both sides by 22 to cancel out the quantity and solve for x*

÷22 ÷22

*simplify*

x = 92/11

Answer:

x = 92/11, x = 8.36 repeating the .36, or x = 8 4/11

Step-by-step explanation:

(a) The scheme where 20 rock samples are randomly allocated, with 10 samples for testing method A and 10 samples for testing method B, is a two independent samples experiment. The two samples are independent of each other.

The scheme where two holes are drilled in each of the 10 rock samples, one using method A and one using method B, is a matched pairs design. The pairs of holes drilled in each sample are matched or paired because they come from the same rock sample.

(b) In the scheme where two holes are drilled in each sample, X₁ represents the time required using method A, and X₂ represents the time required using method B. Since the two holes are drilled in the same rock sample, we would expect a positive correlation between X₁ and X₂. If one method is faster than the other for a particular rock sample, we would expect that trend to generally hold across the samples.

(c) Given the information:

- var(X₁) = var(X₂) = σ² = (6.8)²

- If the scheme with two holes in each sample is used, rho = 0.6 (correlation coefficient between X₁ and X₂)

(i) To evaluate SD(x(bar)₁ - x(bar)₂) for the two independent samples version of the experiment, we can use the formula:

SD(x(bar)₁ - x(bar)₂) = √(σ₁²/n₁ + σ₂²/n₂)

Since we have 10 samples for each method, n₁ = n₂ = 10.

SD(x(bar)₁ - x(bar)₂) = √(σ²/10 + σ²/10) = √(2σ²/10) = √(2(6.8)²/10) ≈ 5.128

(ii) To evaluate SD(D(bar)) for the paired version of the experiment, we can use the formula:

SD(D(bar)) = √(σ²(1 - ρ)/n)

Since we have 10 pairs of holes, n = 10.

SD(D(bar)) = √(σ²(1 - ρ)/n) = √((6.8)²(1 - 0.6)/10) ≈ 2.363

(d) To determine which scheme is better, we would need additional information or specific criteria for comparison. The evaluation should not solely rely on the standard deviations or SD values.

(e)

(i) The degrees of freedom for the two independent samples version of the experiment is df = n₁ + n₂ - 2 = 10 + 10 - 2 = 18.

The degrees of freedom for the paired version of the experiment is df = n - 1 = 10 - 1 = 9.

(ii) The critical value required for a 95% confidence interval for the two independent samples version of the experiment is approximately 2.100922.

The critical value required for a 95% confidence interval for the paired version of the experiment is approximately 2.262157.

(iii) To calculate the margin of error (MoE) for the associated 95% confidence interval, we use the formula:

MoE = t(df, α/2) × SD(Estimate)

For both schemes, the MoE takes the same form but with different degrees of freedom and standard deviations.

Comparing the two schemes, the preferable scheme depends on the specific context, objectives, and criteria of the study. The choice between the two schemes should be based on the research question and design considerations, such as the ability to control for potential confounding factors, the practicality of obtaining sufficient samples, and the reliability of the measurements within each scheme.

To know more about coefficient visit:

brainly.com/question/1594145

#SPJ11

If national savings is less than domestic investment, it means that the country is spending more than it is saving. This can result in a deficit in the current account balance.


1. National savings refers to the total amount of money that a country saves, which includes savings by households, businesses, and the government.
2. Domestic investment refers to the total amount of money that is being invested within the country, such as in infrastructure, businesses, and capital goods.
3. If national savings is less than domestic investment, it means that the country is not saving enough to cover its investment needs.
4. This situation can lead to a deficit in the current account balance, which is the difference between a country's exports and imports of goods and services, as well as other income and transfers.
5. When national savings is less than domestic investment, the country may have to rely on foreign sources of funds to finance its investment needs, which can result in a current account deficit.

6. A current account deficit means that the country is importing more than it is exporting and is relying on external financing to cover the gap.
7. A current account deficit can have both positive and negative implications. On the positive side, it can attract foreign investment and help finance economic growth. However, it can also make the country vulnerable to external shocks and lead to an increase in external debt.
8. To address a situation where national savings is less than domestic investment, the country can take measures to encourage saving, such as through tax incentives or promoting a culture of saving. Additionally, policies can be implemented to attract domestic and foreign investment to bridge the investment gap.

To know more about economic growth refer to:

https://brainly.com/question/30849181

#SPJ11

Answer:

6.2

Step-by-step explanation:

ahmm recommend answer lang

Answer:

6.8

Step-by-step explanation:

hope this helped! :)

The triangle is the essential geometric form in the construction and support of a geodesic dome.

        A geodesic dome is a spherical structure like a round tent that is formed by the simultaneous placements of triangular structures one along the other. The triangles are placed in such a way it seems that rhombuses are placed one after the other.

         They are lightweight, and a layer of canvas or transparent material is placed over the structure to make it water-proof.

          It was first created by the American designer Richard Buckminster Fuller in the 20th century.

          Although these homes save energy and give a perfect place to live in nature, they can also pose some issues like the placement of the chimney, creating rooms within the dome, leakage in the roof, and so on.

To learn more about geodesic domes,

https://brainly.com/question/13671923

https://brainly.com/question/12790081

#SPJ4

Answer:

20

Step-by-step explanation:

1/3 = .3

6/.3  = 20

Answer:

18

Step-by-step explanation:

6 ÷ 1/3

changing the ÷ sign into × sign and taking reciprocal of the second term

6 × 3/1

putting 1 as the denominator of 6

6/1 × 3/1

now multiplying both terms

18/1

18

Answer:

its answer 1.

Step-by-step explanation:

please mark me brainliest thank you for your time and have a nice rest of your day :)

Answer:

4.61*10^7

Step-by-step explanation:

There are 7 places we need to show.

Answer: A and C

Step-by-step explanation:

I did it :)

The line which is perpendicular to 2x + 14y = 70 mus have a slope of 7/2.

A linear function is in the form:

y = mx + b

Where m is the slope and b is the y intercept

Two lines are perpendicular if the product of there slope is -1

Given the line:

2x + 14y = 70

14y = -2x + 70

y = (-2/7)x + 70

The line which is perpendicular to 2x + 14y = 70 mus have a slope of 7/2.

Find out more on linear function at: https://brainly.com/question/15602982

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Learn more about  expression from

https://brainly.com/question/723406

#SPJ11

The runner's average speed in kilometers per hour is 24.257 km.

The total distance covered by the runner is 1 mile. The relation between kilometers and miles is given as 1 km = 0.62 mi. Converting 1 mile to km by using the given relation, we get-

Distance = 1 mile

 = 1 mile × [1 km/0.62 mile]

= 1.6129 km

The time taken to complete a 1-mile run is 3 minutes and 59.37 seconds. The relation between hours and minutes is given below.

1 hour = 60 minutes ……(1)

Converting 3 minutes to hours using equation (1), we get-

3 minutes = 3 minutes × [1 hour/60 minutes]

= 0.05 hours

The relation between hours and seconds is given below.

1 hour = 3600 second …….(2)

Converting 59.37 seconds to hours using equation (2), we get-

59.37 seconds = 59.37 seconds × [1 hour/3600 seconds]

= 0.016492 hours

Total time to cover 1 mile = (0.05 + 0.016491) hours = 0.066492 hours

The average speed of the runner is calculated by the following relation-

Average Speed = Distance (km)/time (hours)

= 1.6129 km/0.066492 hours

= 24.257 km/hour

Therefore, the average speed in kilometers per hour is 24.257km.

For more such questions on average speed

https://brainly.com/question/12322912

#SPJ4

Using Synthetic division the zeros of the equation f(x) are x = 1 and x = 3.

The point at which a polynomial becomes 0 is known as the zeros of the polynomial. The largest power of a variable is the polynomial's degree. Unavoidably, a cubic polynomial will contain at least one real zero. Possible situations for a cubic polynomial's zeros include the following.

The three zeros could all be distinct and real.

Two of the three could be equal and all three could be actual.

Zeros might all be real and equal.

One zero could be genuine, but the other two are complex.

The given equation is:

f(x) = x³ - 8x² + 19x - 12

The zero of the equation is 4 that is:

x - 4 = 0

Divide the two as follows:

Write all the coefficients of the equation.

4 | 1 -8 19 12

Take the leading coefficient down:

4 |  1  -8  19  12

     1

Multiply 4 with the coefficient carried down and add it with the next coefficient as:

4 |  1  -8  19  12

          4

     1    12

Repeat the process until the end:

4 |  1  -8    19    -12

          4    -16    12

     1   -4     3       0

Using the coefficient write the powers:

x² -4x + 3 = 0

Expand the quadratic equation:

x² - 3x - x + 3 = 0

x(x-3) - 1(x - 3) = 0

(x - 1) (x - 3) = 0

x = 1

x = 3

Hence, using Synthetic division the zeros of the equation f(x) are x = 1 and x = 3.

Learn more about cubic equations here:

https://brainly.com/question/13730904

#SPJ1

Answer:

Step-by-step explanation:

quit

It is shown that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |1/f(x) - 1/f(y)| < ε/(2kM) for all x, y in a. This proves that 1/f is uniformly continuous on a.

What is uniformly continuous?

Uniform continuity is a property of a function in which for any given value ε > 0, there exists a corresponding value δ > 0 such that for all pairs of points in the function's domain whose distance is less than δ, the difference in the function's values at those points is less than ε. In other words, a function is uniformly continuous if its rate of change does not vary significantly over its entire domain, and small changes in its input result in correspondingly small changes in its output.

To show that 1/f is uniformly continuous on a, we need to prove that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |1/f(x) - 1/f(y)| < ε for all x, y in a.

Given that f is uniformly continuous on a, we know that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |f(x) - f(y)| < ε/k for all x, y in a.

We also know that |f(x)| > k for all x in a.

Using these facts, we can begin by manipulating the expression |1/f(x) - 1/f(y)|:

|1/f(x) - 1/f(y)| = |(f(y) - f(x))/(f(x)f(y))|

Since |f(y) - f(x)| < ε/k, we can substitute this into the above expression:

|1/f(x) - 1/f(y)| < |(ε/k)/(f(x)f(y))|

Now, we need to find a way to relate f(x)f(y) to |x - y|.

Since f is uniformly continuous, we know that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |f(x) - f(y)| < ε/k for all x, y in a.

This implies that |f(x)f(y)| < k(f(x) + f(y)) < 2kM, where M is the supremum of |f(x)| over a.

Thus, we have:

|1/f(x) - 1/f(y)| < ε/(2kM)

Therefore, we have shown that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |1/f(x) - 1/f(y)| < ε/(2kM) for all x, y in a. This proves that 1/f is uniformly continuous on a.

To know more about Uniformly continuous visit:

https://brainly.com/question/31693678

#SPJ4

Answer:

Step-by-step explanation:

What number multiplied by itself is equal to the product of 6 and 150?

30

30 x 30 = 900

6 * 150 = 900

Answer:

120

Step-by-step explanation:

5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.

Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).

For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720

keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors

5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.

Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.

The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.

Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.

Learn more about Factorial here:

https://brainly.com/question/30136880

#SPJ11

Answer:

E. 128°

Step-by-step explanation:

Answer:

x = 118/7 or 16.86

Step-by-step explanation:

Assuming these are supplementary like you showed in the picture,

59 + 3 + 7x = 180

subtract 62 from both sides

7x = 118

divide by 7

x = 16.86

If they are complementary, x = 4

I hope this helps!