Write your question here (Keep it simple and clear to get the best answer)striangle has vertices A(2;5); B(1;-2) and C(-5;1). Determine:(a) the equation of the line BC. (b) The equation of the perpendicular line from A to Bc

Convert 670 fluid ounces to cubic feet using the conversion factor 1 fluid ounce = 0.00748052 cubic feet. Multiplying by 0.00748052, 670 fluid ounces equals 5.02 cubic feet, rounded to the nearest hundredth.

To convert fluid ounces to cubic feet, you need to use the conversion factor: 1 fluid ounce = 0.00748052 cubic feet.

So, to convert 670 fluid ounces to cubic feet, you can use the following calculation:

670 fluid ounces * 0.00748052 cubic feet/1 fluid ounce

By multiplying these values, you will find that 670 fluid ounces is equal to approximately 5.02 cubic feet.

Rounding this answer to the nearest hundredth, you would get 5.02 cubic feet.

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Answer:

C

Step-by-step explanation:

give brainliest

Answer:

k = 2

Step-by-step explanation:

Use a graphing calculator

Answer:

2/3

Step-by-step explanation:

6 divided by 3 is 2, so you have to divided 4 by 2, which is 2.

Answer:

⅔

Step-by-step explanation:

4 divide by 2 = 2

6 3

therefor 2/3 is equvelet too 4/6.

Hope this helped

y = C/(1 − Ct) is the solution to the nonlinear example dy/dt = y², where C is an arbitrary constant, and the choice C = 1 gives y = 1/(1 − t), starting from y(0) = 1.

The given equation is d²y/dt² = y. Here, y = et, and the solution to this equation is given by the equation: y = Aet + Bet, where A and B are arbitrary constants.

We can obtain this solution by substituting y = et into the differential equation, thereby obtaining: d²y/dt² = d²(et)/dt² = et = y. We can integrate this equation twice, as follows: d²y/dt² = y⇒dy/dt = ∫ydt = et + C1⇒y = ∫(et + C1)dt = et + C1t + C2,where C1 and C2 are arbitrary constants.

The solution is therefore y = Aet + Bet, where A = 1 and B = C1. Therefore, the solution is: y = et + C1t, where C1 is an arbitrary constant. The second solution to the equation is thus y = et + C1t.

The nonlinear example dy/dt = y² is given. It can be solved using separation of variables as shown below:dy/dt = y²⇒(1/y²)dy = dt⇒∫(1/y²)dy = ∫dt⇒(−1/y) = t + C1⇒y = −1/(t + C1), where C1 is an arbitrary constant. If we choose C1 = 1, we get y = 1/(1 − t).

Starting from y(0) = 1, we have y = 1/(1 − t), which is the solution. Therefore, y = C/(1 − Ct) is the solution to the nonlinear example dy/dt = y², where C is an arbitrary constant, and the choice C = 1 gives y = 1/(1 − t), starting from y(0) = 1.

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Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

Answer:

pyramids only have one base.

Step-by-step explanation:

polygon base

Las líneas paralelas son líneas coplanares que nunca se intersectan. En dos dimensiones, las líneas paralelas tienen la misma pendiente . son paralelas, ya que ambas tienen pendiente de 3.

Answer:

lineas parallelas son dos lineas que correned alado de cada uno, y nunca tocan

Step-by-step explanation:

16 percentage of the unknown number is 73.6

To solve the problem, we can use the relationship between percentages and multiply/divide by factors of 100.

Let's start by finding the whole number that corresponds to 1% of the unknown number

1% of the number = 4.6

100 times 1% of the number = 100 x 4.6

Whole number corresponding to the unknown number = 460

We can now use this value to find 5% of the unknown number:

5% of the number = 5/100 x the number = (5/100) × 460 = 23

So we have confirmed that the number we found is correct.

Finally, to find 16% of the number, we can use the same approach

16% of the number = 16/100 x the number = (16/100) × 460 = 73.6

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Answer:

The correct option is;

b) Vertically stretches by a factor 2 then flip over horizontal axis

Step-by-step explanation:

In the function y = -2×cos(x - pi), given that the maximum value of the cosine function is 1 and that the value of the cosine function ranges from +1 to -1, we have that a factor larger than 1, multiplying a cosine function vertically stretches the function and a negative factor flips the function over the horizontal axis by transforming the y-coordinate value from y to -y

Therefore, the factor of -2, vertically stretches the the function by a factor of 2 then flip over horizontal axis.

Answer:

census

Step-by-step explanation:

Answer:i do not knwo sadStep-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:i just took it the answer is 10c

Step-by-step explanation:10c

Answer:

Step-by-step explanation:

Add like terms. 3x & 7x are like terms

3x +7x - 2 = 10x - 2

Answer:

0.2

Step-by-step explanation:

3x+7x-2

3x+7x-2=0

3x+7x=2

10x=2

x=2/10

x=\(\frac{1}{5}\)

Answer:

It is the 3rd option

Step-by-step explanation:

sin(x + y) is equal to 39/45.To evaluate sin(x + y), we can use the trigonometric identity:sin(x + y) = sin(x)cos(y) + cos(x)sin(y)

Given that sin(x) = 2/3 and sec(y) = 5/4, we can find the values of cos(x) and cos(y) using the Pythagorean identity:

cos²(x) = 1 - sin²(x)

cos²(x) = 1 - (2/3)²

cos²(x) = 1 - 4/9

cos²(x) = 5/9

cos(x) = ±√(5/9)

Since x lies between 0 and π/2, cos(x) msin(x + y) is equal to 39/45.ust be positive. Therefore, cos(x) = √(5/9).

Similarly, sec(y) = 1/cos(y), so we can find cos(y) as:

cos(y) = 1/sec(y)

cos(y) = 1/(5/4)

cos(y) = 4/5

Now, we can substitute these values into the sine addition formula:

sin(x + y) = sin(x)cos(y) + cos(x)sin(y)

          = (2/3)(4/5) + (√(5/9))(sin(y))

          = 8/15 + (√(5/9))(sin(y))

To find sin(y), we can use the Pythagorean identity:

sin²(y) = 1 - cos²(y)

sin²(y) = 1 - (4/5)²

sin²(y) = 1 - 16/25

sin²(y) = 9/25

sin(y) = ±√(9/25)

Since y lies between 0 and π/2, sin(y) must be positive. Therefore, sin(y) = √(9/25) = 3/5.

Substituting this value into the expression for sin(x + y), we have:

sin(x + y) = 8/15 + (√(5/9))(3/5)

          = 8/15 + √(1/9)

          = 8/15 + 1/3

          = 24/45 + 15/45

          = 39/45

Finally, we can simplify the fraction:

sin(x + y) = 39/45

Therefore, sin(x + y) is equal to 39/45.

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The greater principal is there for Account A as $400.

Simple interest can be defined as a type of interest where the rate is applied on the same principal.

Given that,

The interest for Account A is $15.75 and Account B is  $28.

The total time for interest is 21 months.

Rate of interest for Account A is  3% and Account B is 4%.

Now, the time period can be written in years as,

21 months = 21 / 12 years

                  = 7 / 4

Suppose the principal for Account A and Account B is P₁ and P₂ respectively.

The formula for simple interest is given as,

(P × r × t) / 100

Substitute the respective values for both the accounts to get,

For Account A,

15.75 = (P × 3 × 7 / 4) / 100

⇒ P = (1575 × 4) / (3 × 7)

⇒ P = 300

For Account B,

28 = (P × 4 × 7 / 4) / 100

⇒ P = 2800 / 7

⇒ P = 400

Hence, Account B had greater principal.

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After rotating a point C 90° counterclockwise about the origin the coordinates of C' would be (-2, 1)

In this question, we have been given a triangle ABC.

A point C is at (1, 2)

The triangle is rotated counter clockwise 90° about the origin.

We need to find the coordinates of C' which is image of vertex C  after rotation.

We know that, if we rotate a point 90° counterclockwise about the origin a point (x, y) becomes (-y, x).

Here C(1, 2) is rotated 90 degrees counterclockwise about the origin.

So, the coordinates of C' would be,

C' = (-2, 1)

Therefore, after rotating a point C 90° counterclockwise about the origin the coordinates of C' are (-2, 1)

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Answer:

Number of pennies = 11

Number of dimes = 11

Number of quarters = 8

Step-by-step explanation:

Given:

Total number of coins = 30

Number of pennies = Number of dimes

Total value = $3.21 = 321 penny

Computation:

Assume:

Number of pennies = x

So,

Number of dimes = x

Number of quarters = 30 -x- x = 30 - 2x

Value of pennies = x

Value of dimes = 10 x

Value value of quarters = 25[30 - 2x] = 750 - 50 x

Total value = x + 10x + 750 - 50x

39x = 429

x = 11

Number of pennies = 11

Number of dimes = 11

Number of quarters = 30 - 11 -11 = 8

For a vertical or horizontal sundial, the gnomon is not perpendicular to the dial face because the gnomon (or its edge) points to the celestial pole.

The celestial pole is an imaginary point in the sky directly above the earth's axis of rotation. The earth rotates on its axis once every 24 hours, causing the sun to appear to move across the sky. A sundial uses the position of the sun in the sky to tell time. The gnomon is positioned so that its shadow falls on the dial face, indicating the time of day based on the position of the sun. The angle of the gnomon is determined by the latitude of the location where the sundial is placed. In the Northern Hemisphere, the gnomon is angled towards the celestial pole (which is located in the direction of the North Star), while in the Southern Hemisphere, it is angled towards the south.

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Answer:

Amount after 8 month (A) = $3775 (Approx)

Step-by-step explanation:

Given:

Amount invested (P) = $3,700

Rate of interest (r) = 3% = 0.03 / 12 = 0.0025 monthly

Number of month (n) = 8 month

Find:

Amount after 8 month (A)

Computation:

\(A=P(1+r)^n\\\\ A=3700(1+0.0025)^8\\\\A=3700(1.02017588)\\\\ A = 3774.650676\)

Amount after 8 month (A) = $3775 (Approx)

The bold statement does not pertain to either the independence of trials or the mutual exclusion of outcomes property of the binomial scenario.

The bold statement does not describe the independence of trials or the mutual exclusion of outcomes property of the binomial scenario.

In a binomial scenario, the independence of trials means that the outcome of one trial does not affect the outcome of another trial. Each trial is considered independent of the others. In this case, the researcher is testing a single individual, so there is no concept of multiple trials.

The mutual exclusion of outcomes property refers to the fact that in a binomial scenario, there are only two possible outcomes for each trial, and they are mutually exclusive. For example, if the outcomes are success (having diabetes) and failure (not having diabetes), an individual cannot have both outcomes simultaneously. However, the bold statement does not provide information about the possible outcomes or their exclusivity.

Therefore, the bold statement does not pertain to either the independence of trials or the mutual exclusion of outcomes property of the binomial scenario.

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The function y=10x(x+1) is already in factored form, with a=10, r=0, and s=-1.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is termed the domain of the function and the set Y is called the codomain of the function. Initially, functions represented the idealized relationship between varied quantities and other variables.

To see this, we can rewrite the function as f(x)=10(x-0)(x-(-1)), which matches the form f(x)=a(x-r)(x-s). Therefore, the values of a, r, and s are:

a = 10
r = 0
s = -1

It is important to note that the values of r and s are the x-intercepts of the function, or the values of x that make the function equal to zero. In this case, the x-intercepts are 0 and -1, which correspond to the values of r and s.

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Because the temperature is greater, the relative humidity of the atmosphere is higher.

Water vapor is also measured by relative humidity (RH), which is stated as a percentage but RELATIVE to the air's temperature. In plenty of other terms, it is a comparison between the quantity of water vapor that is really present in the air and the maximum amount water vapor that is possible for the air at the current temperature.

By deducting the temperature just on wet-bulb thermometer from of the temperature just on dry-bulb thermometers and utilizing a relative humidity chart, one may determine the relative humidity.

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Answer:

30 students in the class.

Step-by-step explanation:

There are several which in which we can approach this question:

We can do this question using direct proportion.

"If 18 girls represent 60%, how many students represent 100%?"

18

60

=

x

100

x

=

18

×

100

60

30

students altogether.

Answer:

7.9

Step-by-step explanation:

√63= 7.937253933193771

to run to the nearest tenth will be 7.9

Answer:

4 miles

Step-by-step explanation:

Answer:

4.5 miles

Step-by-step explanation:

18 miles 3 hours = 6 miles/hour

6 x (3/4) = 4.5 miles

The probability that Serena Williams makes a double fault when she serves is approximately 0.2163 or 21.63%.

To calculate the probability that Serena Williams makes a double fault when she serves, we need to consider two scenarios:

Scenario 1: Serena makes her first serve successfully, which occurs with a probability of 63% (or 0.63).

Scenario 2: Serena faults on her first serve and then makes her second serve successfully, which occurs with a probability of (1 - 0.63) * 0.93 = 0.37 * 0.93 = 0.3441.

Since a double fault occurs when Serena faults on both her first and second serves, we need to calculate the probability of both scenarios occurring together. Therefore, we multiply the probabilities of the two scenarios:

Probability of a double fault = (Probability of Scenario 1) * (Probability of Scenario 2)

                           = 0.63 * 0.3441

                           = 0.2163.

So, the probability that Serena Williams makes a double fault when she serves is approximately 0.2163 or 21.63%.

In this problem, we are given the probabilities of Serena Williams making her first serve successfully (63%) and making her second serve successfully after faulting on the first serve (93%). We want to calculate the probability of a double fault occurring, which means she faults on both her first and second serves. To find this probability, we consider two scenarios: one where Serena makes her first serve successfully (with a probability of 63%) and one where she faults on her first serve and then makes her second serve successfully (with a probability of (1 - 0.63) * 0.93).

To calculate the probability of a double fault, we multiply the probabilities of both scenarios, as both scenarios need to occur together for a double fault to happen. Multiplying the probability of Scenario 1 (0.63) with the probability of Scenario 2 (0.37 * 0.93), we obtain the overall probability of a double fault, which is approximately 0.2163 or 21.63%.

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To multiply polynomials together, use distributive property. With the distributive property, it is possible to multiple a sum by multiplying each term independently, then adding the products together.

A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division.

Example:

The distributive property is an algebra property that allows you to multiply a single term with two or more terms enclosed by parentheses. Understand how distributive property works, can help you to multiply polynomials easily.

Example:

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Answer: Commutative, Distributive, Associative

Step-by-step explanation: