find a vector equation for L, the line tangent to the surface z^2-4x^2-5y^2=0 at the point (8,8,24) and parallel to the xz-plane

Answer:

It is asking you what you would put as your statement for step 4.

Step-by-step explanation:

The answer by the way would be what you have clicked on - angle 1 + angle 4 = 180 degrees.

Answer:

  marked answer is correct

Step-by-step explanation:

The problem is asking you to choose an equation that should be written as statement 4 of the proof.

Statement 4 is an algebraic expression of the verbal statement 3. The marked response is correct. It expresses the relationship that is the definition of supplementary angles.

__

Often you can gain a clue in these proofs by looking at places that use similar reasons or similar statements. Lines 5 and 6 are the algebraic and verbal representations of the relation between angles 1 and 2. This matches lines 3 and 4, which are the verbal and algebraic representation of the same relationship between angle 1 anf 4.

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

We need to substitute g(x) into f(x) and simplify the expression. After simplifying, (f∘g)(x) = 10x² + 25x + 3.

Given that f(x) = 5x + 3 and g(x) = 2x² + 5x, we substitute g(x) into f(x):

(f∘g)(x) = f(g(x)) = f(2x² + 5x)

Now, we replace x in f(x) with the expression 2x² + 5x:

(f∘g)(x) = 5(2x² + 5x) + 3

Simplifying further:

(f∘g)(x) = 10x² + 25x + 3

Therefore, after simplifying, (f∘g)(x) = 10x² + 25x + 3.

In other words, the composition function (f∘g)(x) represents the result of applying the function g(x) to x and then applying the function f(x) to the result. It is a combination of the two functions where the output of g(x) serves as the input for f(x).

In this case, the resulting function (f∘g)(x) is a quadratic function with a coefficient of 10 for the x² term, a coefficient of 25 for the x term, and a constant term of 3. The composition of functions allows us to explore the relationship between different functions and analyze their combined effects on the input variable x.

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The equation that represents the given word problem is y = 5 + 15x.

A mathematical definition of an equation is a claim that two expressions are equal and joined by the equal sign. It consists of coefficient, variable operator and constants.

Let the total charges be y and the number of hours be denoted by x.

It is given that for gas the flat fee is $5 this is represented as:

y = 5

Now, $15 per hour is represented as 15x, and the equation becomes:

y = 5 + 15x

Hence, the equation that represents the word problem is y = 5 + 15x

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AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides of given triangle.

What is triangle?

A triangle is a two-dimensional geometric shape that has three sides, three angles, and three vertices. It is one of the simplest polygonal shapes and is commonly studied in geometry.

Since we have:

∠A ≅ ∠Y

∠B ≅ ∠X

∠C ≅ ∠Z

We can conclude that the two triangles ABC and XYZ are similar by the Angle-Angle (AA) similarity theorem.

Therefore, the corresponding sides of the two triangles are proportional to each other. We can write this as:

AB : YX = BC : XZ = AC : YZ

where AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides.

In other words, the ratio of the length of each side in triangle ABC to the corresponding side in triangle XYZ is constant.

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Answer:

1.375

Step-by-step explanation:

11 divided by 8 = 1.375

A proportion is an equation in which two ratios are set equal to each other. Then the value of 1 unit is 1.375.

What is a ratio?

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0.

The value of 8 units is 11.

Then the value of 1 unit will be

The value of 8 units is 11.

Then the value of the 1 unit will be 11/8.

That can be solved as

\(\dfrac{11}{8} = 1.375\)

Thus, the value of 1 unit is 1.375.

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Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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The z - value of the probability is 0.01

The z-table typically provides values for z in increments of 0.1. Locate the row corresponding to 0.7 and the column corresponding to 0.07. The intersection of this row and column will give us the cumulative probability up to that point.

The value you find in the z-table represents the cumulative probability up to the given z value. Since we're interested in finding the probability of z being greater than or equal to 0.77, we need to consider the complementary probability.

Since the z-table provides the cumulative probability up to a given z value, we need to calculate the complementary probability for values greater than 0.77. To do this, subtract the value obtained from the z-table from 1. This will give us the probability of z being greater than or equal to 0.77.

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Complete Question:

Using the z table find the value of P(z ≥ 0.77).

The equation indicates that the given equation's constant variable is 8.

In other words, you may claim that y directly depends on x or that y is directly proportional to x. The continuity equation or the constant variable variation in this function is m (or k). a direct variation's product of two variables or the result of two variables in such an inverse variation K is the constant of variation in the direct variation equations.

"X fluctuates directly as Y" denotes that as y rises, x also rises by the same amount. In other words, the ratio between y and x is constant and is:

                            x = k × y                

where k is the constant of variation.

Here,

it is given that y varies as  x,

if y=24 and x=3,

therefore,

y = kx

24 = 3k

∴ k = 8

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Given:

The length of a rectangle is 3 cm less than its width.

The area of the rectangle is 270 cm².

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then,

\(\text{Length}=x-3\)

Area of a rectangle is:

\(\text{Area}=\text{Length}\times \text{width}\)

\(270=(x-3)(x)\)

\(270=x^2-3x\)

\(0=x^2-3x-270\)

Splitting the middle term, we get

\(x^2-18x+15x-270=0\)

\(x(x-18)+15(x-18)=0\)

\((x-18)(x+15)=0\)

\(x=18,-15\)

Width of the rectangle cannot be negative. So, the only value of x is 18.

\(Width=18\)

\(Length=18-3\)

\(Length=15\)

Therefore, the length of the rectangle is 15 cm and the width of the rectangle is 18 cm.

Answer:

64x^2/3x^5/4

Step-by-step explanation:

(4x^2/3)^3 / (81x^5)^1/4​

4^3*x^2/3*3 / 3^4*1/4*x^5/4

64*x^2 / 3*x^5/4

Answer:

-V (3 V^23 + 1)

Step-by-step explanation:

Simplify the following:

-3 V^24 - V

Factor -V out of -3 V^24 - V:

Answer:  -V (3 V^23 + 1)

The probability that the whole shipment will be accepted is approximately 0.9996, or 99.96%.

To find the probability that the whole shipment will be accepted, we need to calculate the probability of having at most 3 batteries that do not meet specifications out of the 57 batteries tested.

The probability that a single battery does not meet specifications is given as 2% or 0.02. Therefore, the probability that a single battery does meet specifications is 1 - 0.02 = 0.98.

Let's calculate the probability of having at most 3 batteries that do not meet specifications using a binomial distribution:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Where:

- P(X = k) is the probability of having exactly k batteries that do not meet specifications.

- X is a binomial random variable with n = 57 (number of batteries tested) and p = 0.02 (probability of a battery not meeting specifications).

Using the binomial probability formula:

P(X = k) = (n choose k) *\(p^k * (1 - p)^(n - k)\)

Let's calculate the probability for each case:

P(X = 0) = (57 choose 0) * 0.02⁰ * (1 - 0.02)⁽⁵⁷⁻⁰⁾

P(X = 1) = (57 choose 1) * 0.02¹ * (1 - 0.02)⁽⁵⁷⁻¹⁾

P(X = 2) = (57 choose 2) * 0.02² * (1 - 0.02)⁽⁵⁷⁻²⁾

P(X = 3) = (57 choose 3) * 0.02³ * (1 - 0.02)⁽⁵⁷⁻³⁾

Calculating each probability:

P(X = 0) = (57 choose 0) * 0.02⁰ * (1 - 0.02)⁽⁵⁷⁻⁰⁾ ≈ 0.6017

P(X = 1) = (57 choose 1) * 0.02¹ * (1 - 0.02)⁽⁵⁷⁻¹⁾ ≈ 0.3297

P(X = 2) = (57 choose 2) * 0.02² * (1 - 0.02)⁽⁵⁷⁻²⁾ ≈ 0.0621

P(X = 3) = (57 choose 3) * 0.02³ * (1 - 0.02)⁽⁵⁷⁻³⁾ ≈ 0.0071

Now, we can calculate the probability of accepting the entire shipment:

P(acceptance) = P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(acceptance) ≈ 0.6017 + 0.3297 + 0.0621 + 0.0071 ≈ 0.9996

Therefore, the probability that the whole shipment will be accepted is approximately 0.9996, or 99.96%.

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The value of the sample statistic is used to estimate the value of the population parameter.

The sample statistic is the value that is calculated from the sample data, which is used to make inferences about the population parameter. Sample statistics are used to estimate population parameters. A sample statistic is an estimate of a population parameter that is obtained from a sample, whereas a population statistic is a value that is computed from a population.

Therefore, the correct answer is a. sample statistic.

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Answer:

i think it is D  formation of groundwater

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

50/5=10, 10•4=40

Step-by-step explanation:

what is the full qn there has to be signs in the middle

Answer:

202500 is required deposit

Step-by-step explanation:

Based on the given conditions,

formulate:  225000  × 90 %  

Calculate the product or quotient: 202500  

get the result: 202500  

Answer: 202500

(Hope this helps can I pls have brainlist (crown)☺️)

With the mortgage 90 percent, the deposit required is $202500.

Given that, a luxury apartment is priced at $225000.

A bank offers a 90% mortgage.

A fixed-rate mortgage is a home loan option with a specific interest rate for the entire term of the loan.

Here, 90% of 225000

\(= \frac{90}{100} \times225000\)

\(=90\times2250\)

\(=202500\)

Therefore, the deposit required is $202500.

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Step-by-step explanation:

555 with done song ask good why w wjsjs waudiofif

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

$49.35

Step-by-step explanation:

The formula for finding interest is I=Prt, where I is the interest, P is the principal, r is the rate, and t is the time.

I=(940)(0.07)(\(\frac{9}{12}\))

Since we are working with months, we have to put 9 months over the total number of months in a year, 12.

\(\frac{9}{12}\) simplifies to 0.75.

I=(940)(0.07)(0.75)

I=49.35

The interest is $49.35.

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To answer this question, solve the given expression for calculating velocity for a, this way:

The correct answer is B.

Answer:

989 square inches

Step-by-step explanation:

Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!

Answer:

the answer to this question is 91/80

The mean of the probability distribution for the number of 5's obtained in this experiment is 5.

To find the mean of the probability distribution for the number of 5's obtained in rolling a fair die 30 times, we'll use the terms probability, binomial distribution, and expected value.

A fair die has 6 sides, so the probability of rolling a 5 is 1/6. The experiment involves rolling the die 30 times, making it a binomial distribution problem. In a binomial distribution, the expected value (mean) can be calculated using the formula:

Mean = n * p

where n is the number of trials (30 rolls in this case), and p is the probability of success (rolling a 5, which has a probability of 1/6).

Mean = 30 * (1/6) = 5

So, the mean of the probability distribution for the number of 5's obtained in this experiment is 5.

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Answer:

line mo

Step-by-step explanation:

Because the triangle are congrument

RST and MNO are the triangle

RT is a line in the RST triqangle

it is equal to the MO line in MNO

Answer:

its the first one

Step-by-step explanation:

Answer:

x = \(\frac{s-y}{3-r}\)

Step-by-step explanation:

3x + y = xr + s

Subtract y from both sides:

3x + y = xr + s

3x + y  - y = xr + s - y

3x = xr + s - y

Next, subtract xr from both sides:

3x - xr = xr + s - y - xr

3x - xr =  s - y

Then, factor out x from the left-hand side:

x( 3 - r ) =  s - y

Finally, divide both sides by (3 - r) to solve for x:

x( 3 - r ) =  s - y

\(\frac{x (3 - r)}{3 - r} = \frac{s - y}{3 - r}\)

x = \(\frac{s-y}{3-r}\)

Answer:

271 prints.

Step-by-step explanation:

So to answer the question, we need to first write a formula to find the answer.

We know that the starting price per month is 6.95 dollars.

The full price is 17.79 dollars.

So we can start this off by writing:

17.79=6.95

Now, every time Jim prints, he charges 0.04 dollars. This will add to the orginal cost, which is 6.95. And remember this isnt a single payment, but a payment that varies depending on the amount of paper, p. So we can write this as:

17.79=6.95+0.04p

6.95 wont ever change, hense why it doesnt have a variable. 0.04 however, varies depending on the amount of paper, and thats why we included the variable p.

These two values combined make 17.79, hense why it is on the opposite side of the equals sign.

So, now we need to find how many papers, p, were printed.

To find this, lets just take our equation, and solve for P like an ordinary problem:

17.79=6.95+0.04p

So first off, lets subtract the 6.95 from both sides, because that iscolates the 0.04p, which contains the variable.

Now we have:

10.84=0.04p

Now, we could divide both sides by 0.04.

But remember, the whole point of doing this is to make 0.04p into 1p.

So another way of doing this is multiplying the 0.04 by 25, since 0.04*25=1.

So lets multiply both sides by 25:

10.84*25 is 271.

Since 10*25 is 250

And

.84*25 is 21.

So now we know:

271=1p

So 271 is your answer!

Hope this helps!

The equation that can be used to find the number of prints, p, is $17.79 = $6.95 + $0.04p and Jim ordered 271 prints last month.

An equation is an expression that shows the relationship between two or more numbers and variables.

We can write an equation to represent the total cost that Jim was charged by the website for last month's prints, p to represent the number of prints he ordered:

Total cost = Monthly fee + Cost per print x Number of prints

Using the values given in the problem:

$17.79 = $6.95 + $0.04p

To solve for p, one side of the equation. First, we can subtract $6.95 from both sides:

$10.84 = $0.04p

Then, we can divide both sides by $0.04:

p = 271

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Answer:

Read Below

Step-by-step explanation:

The 56 = 7 x 8 are consecutive number 5, 6, 7, 8. So, 7x8 equals 56. (This only works for two facts - 1, 2, 3, 4 is 12 = 3x4 and 5, 6, 7, 8 is 56 = 7x8)

The situation for 7 x -8 = -56 is the multiplication of a number with its negative consecutive where the number is 7.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

7 x - 8 =- -56

This can be described as a situation:

Multiplication of a number with its negative consecutive where the number is 7.

Number = M

Negative consecutive = -(M + 1)

So,

M x -(M + 1)

M = 7

So,

7 x -(8)

= -56

Thus,

The situation is the multiplication of a number with its negative consecutive where the number is 7.

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