Solve this easy question that I don't understand

Answer: Both B and C

Step-by-step explanation:

Answer:263,078.4

Step-by-step explanation:

Answer:

\(\frac43\)

Step-by-step explanation:

Hello!

We can calculate slope using the formula \(\frac{Rise}{Run}\).

The two points that I'm going to choose is (0,-4) and (3,0).

Therefore, the slope of the line is \(\frac43\).

Answer: 4/3

Step-by-step explanation:

rise over run

Using elimination method, the solutions of the given system of equations are (x, y) =( 3√2/2, √10 / 2), (-3√2/2, -√10 / 2), (-3√2/2, √10 / 2), (3√2/2, -√10 / 2).

Given system of equations is:x² + y² = 7 --- equation (1)x² - y² = 2 --- equation (2)

Elimination method: In this method, we eliminate one variable first by adding or subtracting the equations and then solve the other variable. After solving one variable, we substitute its value in one of the given equations to get the value of the other variable. Let's solve it:x² + y² = 7x² - y² = 2

Add both equations: 2x² = 9 ⇒ x² = 9/2⇒ x = ± 3/√2 = ± 3√2 / 2

Substitute x = + 3√2 / 2 in equation (1) ⇒ y² = 7 - x² = 7 - (9/2) = 5/2⇒ y = ± √5/√2 = ± √10 / 2

So, the solutions of the given system of equations are (x, y) =( 3√2/2, √10 / 2), (-3√2/2, -√10 / 2), (-3√2/2, √10 / 2), (3√2/2, -√10 / 2).

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Answer:

y = mx + c

since m = 0

c = 9

Answer: 60

suppose: the width of a rectangle is x (x > 0)

⇒ The length of a rectangle is 4x

because  the area of the rectangle is 144 ft

=> 4x.x = 144

⇔ x² = 144/4 = 36

⇒ x = 6

with x = 6 ⇒ The length of a rectangle is 4.6 = 24

the perimeter of the rectangle is (6 + 24).2 = 60

Step-by-step explanation:

Answer:

Exponential decay

Step-by-step explanation:

The general form of an exponential function is

\(P=P_{0}a^t\), where P0 is the initial value, a is the base, and t is the exponent.

In your example, P0 is 1 and a is 4/5.

A function is experiencing exponential growth when a > 1.

A function is experiencing exponential decay when 0 < a < 1.

4/5 lies between 0 and 1, so the function is experiencing exponential decay.

Answer:

That's really sad.  

Step-by-step explanation:

I'll go check out your questions :)

The appropriate type of corrosion for the described failure, where corrosive ammunition in a firearm creates visible surface roughness and divots in the bore, is pitting corrosion.

Pitting corrosion is a localized form of corrosion that results in the formation of small pits or cavities on the surface of a metal. It occurs when a small area on the metal's surface becomes more susceptible to corrosion due to factors such as local chemical composition variations, impurities, or mechanical damage.

In the given scenario, the visible surface roughness and divots in the bore of the firearm are indicative of localized damage, which aligns with the characteristics of pitting corrosion. Corrosive ammunition can introduce chemicals or compounds that create localized corrosive environments on the metal surface. These localized areas experience accelerated corrosion, leading to the formation of small pits or divots.

It's important to note that pitting corrosion can occur in the presence of corrosive substances or environments, and the localized damage is often more severe than general corrosion. Proper maintenance and regular inspection are crucial to prevent and mitigate pitting corrosion, especially in applications where metal surfaces are exposed to corrosive agents like corrosive ammunition.

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Outliers are data elements that are relatively far from the other data elements.

There are 2 high outliers in the data set.

The five number summary is given as:

\(\mathbf{Minimum=3}\)

\(\mathbf{Q_1=6}\)

\(\mathbf{Median=12}\)

\(\mathbf{Q_3=13}\)

\(\mathbf{Maximum=39}\)

The lower outlier is:

\(\mathbf{L = Q_1 - 1.5 \times (Q_3 - Q_1)}\)

So, we have:

\(\mathbf{L = 6- 1.5 \times (13 - 6)}\)

\(\mathbf{L = -4.5}\)

The upper outlier is:

\(\mathbf{U = Q_3 + 1.5 \times (Q_3 - Q_1)}\)

So, we have:

\(\mathbf{U = 13 + 1.5 \times (13 - 6)}\)

\(\mathbf{U = 23.5}\)

The above computation means that;

Data less than -4.5 or greater than 23.5 are outliers

The data elements in this range are: 26 and 39

Hence, there are 2 high outliers in the dataset

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Answer:

-9-8i

Step-by-step explanation:

(3+i)+(-12-9i)

3+i-12-9i

3-12+i-9i

-9+i-9i

-9-8i

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The sum of all possible values of n is 448.

Let n be a positive number.

We are given that 72!/n is a multiple of 2^n, but not a multiple of 2^(n-1).

We can start by finding all values of n that fit this criteria:

n = 1: 72!/1 = 479001600 is not a multiple of 2^1, but is a multiple of 2^0.

n = 2: 72!/2 = 1197500400 is not a multiple of 2^2, but is a multiple of 2^1.

n = 3: 72!/3 = 59875200 is a multiple of 2^3, but not a multiple of 2^2.

n = 4: 72!/4 = 29937600 is a multiple of 2^4, but not a multiple of 2^3.

n = 5: 72!/5 = 14968800 is a multiple of 2^5, but not a multiple of 2^4.

n = 6: 72!/6 = 7484400 is a multiple of 2^6, but not a multiple of 2^5.

n = 7: 72!/7 = 3742200 is a multiple of 2^7, but not a multiple of 2^6.

n = 8: 72!/8 = 1871100 is a multiple of 2^8, but not a multiple of 2^7.

n = 9: 72!/9 = 935550 is a multiple of 2^9, but not a multiple of 2^8.

n = 10: 72!/10 = 467775 is a multiple of 2^10, but not a multiple of 2^9.

Therefore, the sum of all possible values of n is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 = 448.

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Answer:

- corresponding angles

- alternate interior angles

- alternate exterior angles

Step-by-step explanation:

- corresponding angles by a postulate

- alternate interior angles by a theorem

- alternate exterior angles by a theorem

Answer:

a. 5/9

b. 1 1/5

c . 1/28

d. 3/10

Step-by-step explanation:

Related questions:

find the product by calculation

a. 5× 1/9

= 5/9

b. 2× 3/5

= 6/5 = 1 1/5

c. 1/7× 1/4

= 1/28

d. 3/4× 2/5​

= 6/20

= 3/10

Answer:

Half of 21 in a radius is 10.5.

Answer:

21/2=10.5

Step-by-step explanation:

21/2

Answer:

∠ B ≈ 66.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosB = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{2}{5}\) , then

∠ B = \(cos^{-1}\) ( \(\frac{2}{5}\) ) ≈ 66.42° ( to the nearest hundredth )

Answer:

27/100 is the fraction

Step-by-step explanation:

Just simplify the expression

Answer:

27/100

Step-by-step explanation:

1            27     27

-----  x   ---- =  -----

100         1      100

Answer:I believe the answer is 20.

Step-by-step explanation:

The required fill-in-the-blanks are "same" and "line segments".

A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.

Sometimes, the relationship between the variables doesn't stay the "same". This type of relation is called a piecewise linear relationship.

The graph of a piecewise linear relationship is made of non-overlapping "line segments", like this one.

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To find the missing term, we can use the expansion of the square of a binomial, which is given by the formula (a + b)^2 = a^2 + 2ab + b^2. In this case, the binomial is x + 12, so we can use the formula like this:

\((x + 12)^2 = x^2 + 2 * x * 12 + 12^2\)

Therefore, the missing term is 144.

You can also find the missing term by expanding the left-hand side of the equation using the same formula:

\((x + 12)^2 = (x^2 + 24x) + __\)

When we expand the left-hand side using the formula, we get:

\((x + 12)^2 = x^2 + 24x + 144\)

So the missing term is also 144.

In the context of oil fields, the proportion of water (denoted as ρ) in a randomly selected barrel of oil pumped to the surface can be assumed to have a normal distribution.

This means that the distribution of ρ follows a bell-shaped curve with a symmetric shape around its mean (denoted as μ). The mean represents the average proportion of water in the barrels of oil.

The normal distribution is a common assumption in statistics due to its well-understood properties and prevalence in various natural phenomena.

By assuming a normal distribution for ρ, we can make statistical inferences and predictions about the water content in the oil based on sample data and the known characteristics of the normal distribution.

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Answer:A

Step-by-step explanation:

We add all the numbers untill whit one of tham we get 3200

distance between 2 points = root (x1-x2)²+(y1-y2)²

so root (-2-2)²+(5--3)² = 8.994 ≈ 9 units

Answer:

C. 14%

Step-by-step explanation:

We know that Dallas's wage increased from $9 to $10.25.

Let's say the percent increase is x. Then we write the expression:

9 + x * 9 = 10.25

Divide by 9 from both sides:

1 + x = 10.25 / 9 ≈ 1.14

Subtract 1 from both sides:

x = 1.14 - 1 = 0.14

Since x is a percent, that means x = k/100, where k is an integer. So we have:

x = k/100 = 0.14

Multiply both sides by 100:

k = 0.14 * 100 = 14%

The answer is thus C.

~ an aesthetics lover

Answer:

Step-by-step explanation:

\(Original\:price = \$9\\New\:price =\$10.25\\\\Increase = 10.25-9\\Increase = 1.25\\\\Increase \: \% = \frac{Increase}{Original \:price} \:\times 100\\\\= \frac{1.25}{9} \times 100\\\\= \frac{125}{9}\\ \\= 13.888\\= 14\%\)

Answer:

MMM

Step-by-step explanation:

Given

See attachment for elements of the sample space (in a probability tree)

Required

Which of MMM, FFM, MFF, FMF represents more than one male?

From the question, we understand that:

\(M \to Male\)

\(F \to Female\)

So, for an event to represent more than 1 male, there must be an occurrence of at least 2 M (i.e 2 M or 3 M)

From the given options, only MMM has more than 1 M.

Hence, MMM represents more than one Male

Answer:

\(500.37 \times 4390x = 73017 \\ 2196624.3x = 73017 \\ x = 0.03324\)

To find the volume of a triangular prism with a right angle, multiply the area of the base triangle by the height of the prism.

Start with a triangular prism that has a right angle. The base of the prism is a right-angled triangle.

Measure the lengths of the two perpendicular sides of the right-angled triangle, which are typically referred to as the base (b) and the height (h) of the triangle.

Calculate the area of the base triangle using the formula: Area = (1/2) * base * height.

Measure the height (H) of the prism, which is the perpendicular distance between the two parallel bases.

Multiply the area of the base triangle by the height of the prism to find the volume:

Volume = Base Area * Height = (1/2) * base * height * H.

If the dimensions are given in different units, make sure to convert them to the same unit before performing the calculations.

The volume of a triangular prism with a right angle can be found by multiplying the area of the base triangle by the height of the prism. Ensure that the base dimensions and the height are measured accurately and in the same unit.

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The mass of salt in the tank at time t.

dS/dt = 10 - S/400

S(0) = 100 grams

The solution is S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

A tank holds water V(0) = 4000 liters in which salt S(0) = 100 grams.

So dS/dt = S(in) - S(out)

S(in) = 1 × 10 = 10 gram/liters

S(out) = S/V × 10 = 10S/V gram/liters

V = V(0) + q(in) - q(out)

V = 4000 + 10t - 10t

V = 4000 liters

dS/dt = 10 - 10S/V

dS/dt = 10 - 10S/4000

dS/dt = 10 - S/400

Now given; S(0) = 100.

Here, p(t) = 1/400, q(t) = 10

\(\int p(t)dt = \int\frac{1}{400}dt\)\(\int p(t)dt = \frac{1}{400}t\)

\(\mu=e^{\int p(t)dt}\)

\(\mu=e^{\frac{t}{400}}\)

So, S(t) = \(\frac{\int\mu q(t)dt+C}{\mu}\)

S(t) = \(\frac{\int e^{\frac{t}{400}} \cdot10dt+C}{e^{\frac{t}{400}}}\)

S(t) = \(e^{\frac{-t}{400}} \left({\int e^{\frac{t}{400}} \cdot10dt+C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({10\times\frac{e^{\frac{t}{400}}}{1/400} +C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({4000\times{e^{\frac{t}{400}} +C}\right)\)

Now solving the bracket

S(t) = 4000 + \(e^{\frac{-t}{400}}\)C.....(1)

At S(0) = 100

100 = 4000 + \(e^{\frac{-0}{400}}\) C

100 = 4000 + \(e^{0}\) C

100 = 4000 + C

Subtract 4000 on both side, we get

C = -3900

Now S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

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The complete question is:

A tank holds 4000 liters of water in which 100 grams of salt have been dissolved. Saltwater with a concentration of 1 grams/liter is pumped in at 10 liters/minute and the well mixed saltwater solution is pumped out at the same rate. Write initial the value problem for:

The mass of salt in the tank at time t.

dS/dt =

S(0) =

The solution is S(t) =