Can Someone please help me.​

Answer:

2/3

Step-by-step explanation:

1 - 1/3 = 2/3

The distance between Vega 3 and the Mars (MV) illustrates cosine function, and the distance is 29.1 million light years or 142.8 million light years

From the question, we have the following parameters

See attachment for the illustration of the given parameters.

The distance between Vega 3 and the Mars (MV) is then calculated using the following cosine function

VS² = MS²+ MV² - 2 * MS * MV * cos(Ф)

This gives

4489 = 8649+ MV² -  171.96MV

Subtract 8649 from both sides

MV² -  171.96MV = -4160

Rewrite as:

MV² -  171.96MV + 4160 = 0

Using a graphing tool, we have:

MV = 29.1 and MV = 142.8

Hence, the distance between Vega 3 and the Mars is 29.1 million light years or 142.8 million light years

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Answer:

16.5 :)

Step-by-step explanation:

hope this helps !!

Answer:

it adding

Step-by-step explanation:

We have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`.

We need to find `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`.

Solution:

`f(x) = (x+7)/x`

At `x=a`, we have

`f(a) = (a+7)/a`.

At `x = a + h`,

we have `

f(a+h) = [(a+h)+7]/(a+h)`.

So,

`f(a+h) = (a+h+7)/(a+h)`.

Now,

`f(a+h)−f(a)` is `[(a+h)+7]/(a+h) − (a+7)/a`.

LCM of `(a+h)` and `a` is `a(a+h)`.

So, we get `f(a+h)−f(a)` as `(a+h)(a+7)−a(a+h+7)/a(a+h)`.

On simplification, we have `f(a+h)−f(a)` as `(ah+7h)/(a(a+h))`.

Now, `(f(a+h)−f(a))/h` is `(ah+7h)/(ah+h^2)`.

On simplification, we have `(f(a+h)−f(a))/h` as `(h(a+7))/(ah+h^2)`.

Hence, `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`. We have found `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`. Thus, we have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

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Answer:

190 miles

Step-by-step explanation:

Given:

Amount Kathy paid down = $1500

Percentage it represents = 8% of the total cost = 0.08

Let's find the total cost of the car.

To find the total cost of the car since $1500 represents 8% of the total cost, we have:

0.08x = 1500

Where x is the total cost of the car.

Let's solve for x in the equation.

Divide both sides by 0.08

Therefore, the total cost of the car is $18,750

ANSWER:

$18,750

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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The equation that represents the linear form of vector v is given as follows:

v = -9i - 6j.

The general format for the linear form of a vector is given as follows:

v = ai + bj.

In which:

The points of the vector are given as follows:

Hence the horizontal component of the vector is given as follows:

a = 1 - 10

a = -9.

The vertical component of the vector is given as follows:

b = 2 - 8

b = -6.

Hence the linear form of the vector is:

v = -9i - 6j.

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Answer:

Step-by-step explanation:

\(f(x)=a(x-h)^2+k\)    vertex form of equation with vertex (h, k)

\(\left \big{f(x)=a(x-h)^2+k}\atop \big{f(x)=-(x-2)^2-3}\right\}\implies a=-1\,,\ h=2\,,\ k=-3\)

So vertex of  f(x) = - (x - 2)² - 3 is  (2, -3)

The division of 16 - 8x - 7x² + 2x³ by x - 4 will have a quotient of 2x² + x - 4 and a remainder of 0 using synthetic division.

The procedure for synthetic division involves the following steps:

Divide.

Multiply.

Subtract.

Bring down the next term, and

Repeat the process to get zero or arrive at a remainder.

We shall rearrange 16 - 8x - 7x² + 2x³ to become 2x³ - 7x² - 8x + 16 and then divide by x - 4 as follows;

2x³ divided by x equals 2x²

x - 4 multiplied by 2x² equals 2x³ - 8x²

subtract 2x³ - 8x² from 2x³ - 7x² - 8x + 16 will give x² - 8x

x² divided by x equals x

x - 4 multiplied by x equals x² - 4x

subtract x² - 4x from x² - 8x will give us -4x + 16

-4x divided by x equals -4

x - 4 multiplied by -4 equals -4x + 16

subtract -4x + 16 from -4x + 16 will result to a remainder of 0

Therefore by synthetic division, 16 - 8x - 7x² + 2x³ divided by x - 4 is equal to the quotient of 2x² + x - 4 with a remainder of 0.

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The answer is in the above picture.

The graph of the given problem is shown below.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

Given that,

Distance travelled by airplane from Chicago to Los Angeles in 2 minutes = 15 miles.

In return,

The airplane covers distance in 3 minutes = 25 miles.

The formula for equation of line between two points (x₁, y₁) and (x₂, y₂) is,

(y - y₁) = {(y₂ - y₁)/(x₂ - x₁)} (x - x₁)

The linear equation for the given distance and time can be written as,

y - 15 = {(25 - 15)/(3 - 2)}(x-2)

y - 15 = 10 (x - 2)

y - 15 = 10x - 20

10x - y - 5 = 0

The graph for the equation 10x - y - 5 = 0 is shown below.

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Answer:

5 1/2

Step-by-step explanation:

Rate x Time = Distance.  If you know 2 of the parts, you can figure out the 3rd part.  You know the time and the distance, so plug those in and solve.

Let R = rate

R(1/2) = 2 3/4  Let's change  2 3/4 into a improper fraction.  

R(1/2) = 11/4 Multiply 4x2 and then add 3 that gets you 11 and the bottom number stays the same.  Next, multiply both sides of the equation by 2.

R = 22/4 or 11/2 or 5 1/2 miles per hour.

The third step in the scientific method, after formulating a hypothesis, is to design and conduct experiments or gather data to test the hypothesis.

Once a hypothesis has been formulated, it needs to be tested through empirical investigation. This involves designing and conducting experiments, or gathering relevant data, to gather evidence and evaluate the validity of the hypothesis.

The purpose of this step is to systematically collect data and observations that can either support or refute the hypothesis. By conducting experiments or gathering data, scientists aim to gather empirical evidence that can provide insights into the relationship between variables and help draw conclusions about the hypothesis.

This step often involves developing a research plan, selecting appropriate methods, identifying variables, collecting data, and analyzing the results. The experiments or data collection process should be carefully designed to ensure that they provide meaningful and reliable information to test the hypothesis.

The third step in the scientific method is to design and conduct experiments or gather data to test the hypothesis. This step involves systematically collecting empirical evidence to evaluate the validity of the hypothesis and draw conclusions based on the results.

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Answer:

False.

6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.

Step-by-step explanation:

The answer is:

Work/explanation:

We can't really compare two things if they have different units.

So we need to convert kilometers to miles first.

1 km is approximately equal to 0.621 miles.

So 6 km would be approximately 3.728 miles.

6 miles is further away than 3.728 miles.

6 km is not as far as 6 miles. And now we know why.

\(8y+24\). you multiply all of the values in the parentesys.

Answer:

\(\huge\boxed{\sf{8y+24}}\)

Step-by-step explanation:

Hello.

Let's recall that the Distributive Property states that

Using the formula, let's simplify:

8(y+3)

Multiply 8 times y and 8 times 3 and add the products:

8y

24

Add:

8y+24

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Each squares and rectangles are a form of quadrilateral, with four inner angles that are both 90 degrees, and opposite sides that are parallel to one another.

Are a square and a rectangle usually similar?

As a result, every square is a rectangle since it is a quadrilateral with right angles at each of its four corners. But not all rectangles are squares; for a shape to be a square, all of its sides must be the same length.

What is a rectangle, exactly?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.

                           The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

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Solution:

The sum of the 4 largest samples: 4(0.5) + 5(2.5) + 1(3) + 4(3.5)

Simplify the expression to find the volume of the 4 largest samples.

~Since this is already rounded to the 1/2 fluid ounce, no further work is required.

Answer:

31.5 fluid ounces

Step-by-step explanation:

The four largest samples are 2 1/2, 3 1/2, 1/2, and 1

2 1/2 = 5/2

3 1/2 = 7/2

5/2 * 5 = 25/2

7/2 * 4 = 28/2 = 14

1/2 * 4 = 4/2 = 2

1 * 3 = 3

Add them together:

25/2 + 14 + 2 + 3

25/2 + 28/2 + 4/2 + 6/2

63/2 = 31.5

Hope this helps!

Approximately 95.44% of the data falls within ±2 standard deviations of the mean in a normal distribution.

To find the percentage of the area under the normal curve that falls between ±2 standard deviations, we need to follow the following steps:

We need to know the mean (μ) and standard deviation (σ) of the normal distribution in question. If we assume a standard normal distribution (i.e., a normal distribution with mean of 0 and standard deviation of 1), then we can use a z-score table to find the percentage of area under the curve.

The z-score formula is:

z = (x - μ) / σ

For ±2 standard deviations, the values of x are μ ± 2σ. Therefore, the z-scores are:

z = (μ + 2σ - μ) / σ = 2

z = (μ - 2σ - μ) / σ = -2

A z-score table gives the percentage of area under the standard normal curve that falls to the left of a given z-score. Since the normal distribution is symmetric, the percentage of area to the right of a negative z-score is the same as the percentage of area to the left of the corresponding positive z-score.

Using a z-score table, we find that the percentage of area under the standard normal curve that falls to the left of z = 2 is 0.9772, or 97.72%. Therefore, the percentage of area under the curve that falls between ±2 standard deviations is:

97.72% - (100% - 97.72%) = 95.44%

This means that approximately 95.44% of the data falls within ±2 standard deviations of the mean in a normal distribution.

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Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

the coefficient of correlation in this situation is 0.65.The coefficient of correlation (r) is a measure of the strength and direction of the linear relationship between two variables.
TheThe coefficient of determination (R-squared) is defined as the proportion of variance in the dependent variable that is explained by the independent variable(s) in a regression model. It ranges from 0 to 1, where 0 means that none of the variance in the dependent variable is explained by the independent variable(s), and 1 means that all of the variance in the dependent variable is explained by the independent variable(s).

The coefficient of correlation (r) is a measure of the strength and direction of the linear relationship between two variables. It also ranges from -1 to 1, where -1 means a perfect negative correlation, 0 means no correlation, and 1 means a perfect positive correlation.

Since the coefficient of determination is equal to the square of the coefficient of correlation, we can find the coefficient of correlation as the square root of the coefficient of determination:

r = sqrt(0.4225) = 0.65

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Answer:

Step-by-step explanation:

Find the sum: 9/10 9/100

A: 18/100

B: 90/100

C: 18/10

D; 99/100

9/10 = 90/100

so

90/100 + 9/100 = 99/100

Answer: D 99/100 I hope this helps

Step-by-step explanation:

9/10+9/100

Write all numerators above the least common denominator 100

90+9/100

Add the numbers 90+9 which would will give you your answer

99/100

Answer:

my dad can answer that wait a minute

A sample that does not represent the entire group of interest is called a biased sample.

A biased sample is a sample that doesn't reflect the real-world population it is supposed to represent. It happens when the sample is chosen in such a way that some members of the population are less likely to be included than others.

Therefore, a biased sample may not be an accurate representation of the entire population.

For example, if a researcher wants to know how many people in a given area have access to the internet and chooses a sample of people from a high-income neighborhood, the results may be biased because people from low-income areas may have lower rates of internet access.

A biased sample can lead to inaccurate conclusions, and therefore, it's important to ensure that the sample is representative of the population. A random sample, on the other hand, ensures that all members of the population have an equal chance of being included in the sample.

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Answer:

SAS (Side-Angle-Side): If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement ...-by-step explanation:

Answer:

$705

Step-by-step explanation:

($3400)(0.075) = $255 commission earned

Total wage for that week = $450 + $255 = $705

note:  this answer assumes that $450 is the weekly basic wage, not daily

There are 150 different ways can 30 books be placed on these shelves if the books are all different.

The number of shelves on a bookshelf is 5.

The number of books on one shelf is 30.

The number of books on 5 shelves= The number of books on one shelf *The number of shelves.

which implies that, the total number of books =30*5

By multiplying 30 by 5 we get 150

total number of books =150.

hence, bookshelves have 150 books if books are placed differently.

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