what is 10 times much as 0.07

You know that:

- Last weekend his trip took 10 hours when he drove to the mountains.

- When he drove home, the trip took 7 hours.

- His average rate was 18 miles per hour faster on the trip home.

By definition, the distance can be calculated with this formula:

Where "d" is distance, "r" is rate, and "t" is time.

Then, you can set up the following equation to represent his trip to the mountains ("d" is in miles):

And you can set up the following equation to represent his trip home ("d" is in miles):

To find the value of "r", you need to make both equations equal to each other and solve for "r". Then, you get:

Knowing the value of "r", you can substitute it into the second equation:

Finally, evaluating, you get (Remember that "d" is in miles)

Therefore, the answer is:

Answer: 9

Step-by-step explanation:

20% x = 1.8

x/5 = 1.8

x = 1.8x5 = 9

Converting back to the original variable sin(x), the final result is (sin^5(x)) / 5 - (2sin^3(x)) / 3 + sin(x) + C. Thus, the integral in terms of sin(x) becomes + C. The integral in terms of sin(x) becomes + C.

The given integral is ∫11 sin^4(x) cos(x) dx. By substituting u = sin(x), we can rewrite the integral in terms of u.

Using the substitution u = sin(x), we differentiate both sides with respect to x to find du = cos(x) dx. Rearranging, we have dx = du / cos(x).

Substituting the expressions for u and dx into the integral, we obtain ∫11 sin^4(x) cos(x) dx = ∫11 (sin^4(x)) (du / cos(x)).

Next, we simplify the integrand by using a trigonometric identity. We have sin^4(x) = (sin^2(x))^2 = (1 - cos^2(x))^2.

Replacing sin^4(x) in the integral with this expression, we get ∫11 (1 - cos^2(x))^2 (du / cos(x)).

Further simplifying, we expand the square to obtain ∫11 (1 - 2cos^2(x) + cos^4(x)) (du / cos(x)).

Using the identity cos^2(x) = 1 - sin^2(x), we can substitute cos^2(x) with (1 - sin^2(x)) in the integrand.

This yields ∫11 (1 - 2(1 - sin^2(x)) + cos^4(x)) (du / cos(x)).

Simplifying the expression inside the integral, we have ∫11 (2sin^2(x) - cos^4(x)) (du / cos(x)).

Finally, after substituting u = sin(x) and dx = du / cos(x) into the integral, we obtain ∫11 (2u^2 - (1 - u^2)^2) du.

This can be further simplified to ∫11 (3u^4 - 2u^2 + 1) du, which, in terms of u, evaluates to u^5 / 5 - (2u^3) / 3 + u + C.

Converting back to the original variable sin(x), the final result is (sin^5(x)) / 5 - (2sin^3(x)) / 3 + sin(x) + C. Thus, the integral in terms of sin(x) becomes + C.

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Answer:

Plugged this into my calculator and got this

cos 75 = 0.2588190451

The probability value for p(x = 6) is obtained to be 1/8.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

As x is a discrete uniform random variable ranging from one to eight, it means that the probability of x taking any value from 1 to 8 is equal and is given by -

P(x = i) = 1/8, where i = 1, 2, ..., 8

So, to find P(x=6), we simply substitute i = 6 in the above formula -

P(x = 6) = 1/8

This means that the probability of x taking the value 6 is 1/8 or 0.125.

Since the distribution is uniform, each value between 1 and 8 is equally likely to occur, and therefore has the same probability of 1/8.

In other words, if we sample this random variable many times, we would expect to observe the value 6 approximately 12.5% of the time.

Therefore, the value is obtained as 1/8.

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A domain is a component of the nomenclature used in web addresses to identify your website or a particular page of your website online.

A function's authorized range of values is known as its domain. For a function like f, this set contains of the x values (x). The set of those values represents the possible range of values that a function can take as input. The function's response to our x value entry is this group of values.

here ,

A domain is typically a sphere of knowledge or an area under one's control.

Users find it much easier to recall and search for online because it is a string of text linked to a website's numerical IP address.

Both the internet's architecture and the way a company's network resources are set up fall under the umbrella term "domain."

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The lateral area of the prsim is 140 sqaured centimeters.

A prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The lateral area of a prism is expressed as;

Lateral area = 2( l + b )h

Where b is the breadth, h is height and l is length

From the image:

Length l = 5 cm

Breadth b = 5 cm

Height h = 7 cm

Plug these values into the above formula and solve for the lateral area.

Lateral area = 2( l + b )h

Lateral area = 2( 5 cm + 5 cm ) × 7 cm

Lateral area = 2( 10 cm ) × 7 cm

Lateral area = 20 cm × 7 cm

Lateral area = 140 cm²

Therefore, the lateral area is 140 cm².

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There is a 35% chance that fund A rises and fund B does not rise in price.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.

To calculate the probability that fund A rises and fund B does not rise in price, we need to multiply the probability of fund A rising (let's assume it is 50% for the sake of this example) by the probability of fund B not rising (which is 70%). So the probability would be:

0.5 (probability of fund A rising) x 0.7 (probability of fund B not rising) = 0.35 or 35%.

Therefore, there is a 35% chance that fund A rises and fund B does not rise in price.

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Answer: y = 2 and x = 2

Step-by-step explanation:

\(9x^2+4(y-2)^2=36\\x^2=2y\)

First, get the entire thing in terms of y, because you cant solve for two variables at the same time. They gave us the fact that x^2 = 2y

\(9(2y)+4(y-2)^2=36\\18y+4(y^2-4y+4)=36\\18y+4y^2-16y+16=36\\4y^2+2y-20=0\)

What two numbers multiply to equal -80 but add to equal 2? That is +10 and -8.

\(4y^2+2y-20=0\\(4y^2-8y)+(10y-20)=0\\4y(y-2)+10(y-2=0)\\(4y+10)(y-2)=0\\y=-5/2\\y=2\)

Now solve for x by plugging in y to the easier equation

\(x^2=2(-5/2)\\x\neq \sqrt{-5}\)

If I didn't make a mistake, this should be the only answer. In the case of y = -5/2, you would get an imaginary x-value. Therefore y cannot equal -5/2

\(x^2=2(2)\\x=2\)

The solution of the expression are,

x = 2.28 , y = 2.62

Or, x = 3.9i , y = - 7.62

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

9x² + 4 (y - 2)² = 36  .. (i)

x² = 2y  .. (ii)

Substitute the value of x² from (ii) in (i);

9x² + 4 (y - 2)² = 36

9 × 2y + 4 (y - 2)² = 36

18y + 4 (y - 2)² = 36

9y + 2 (y - 2)² = 18

9y + 2 (y² + 4 - 2y) = 18

9y + 2y² + 8 - 4y = 18

2y² + 5y + 8 - 18 = 0

2y² + 5y - 10 = 0

y = - 5 ± √5² - 4×2×- 10 / 2×2

y = - 5 ± √ 25 + 80 / 2

y = - 5 ± √ 105 / 2

y = - 5 ± 10.24 / 2

y = - 5 + 10.24 / 2

y = 5.24/2

y = 2.62

y = - 5 - 10.24 / 2

y = - 15.24 / 2

y = - 7.62

From (ii);

x² = 2y

x² = 2 × 2.62

x² = 5.24

x = 2.28

x² = 2y

x² = 2 × - 7.62

x² = - 15.24

x = 3.9i

Thus, The solution of the expression are,

x = 2.28 , y = 2.62

Or, x = 3.9i , y = - 7.62

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The n-point DFT of the signal x[n] = ax1[n] + bx2[n] is given by the linear combination of the individual DFTs: X[k] = a * X1[k] + b * X2[k], where X[k] is the n-point DFT of x[n], X1[k] is the n-point DFT of x1[n], X2[k] is the n-point DFT of x2[n], and a and b are constants.

The Discrete Fourier Transform (DFT) is a mathematical transformation that converts a discrete-time signal from the time domain to the frequency domain. When we have two signals x1[n] and x2[n] with their respective n-point DFTs X1[k] and X2[k], we can combine them in a linear manner to obtain the DFT of their sum or scaled versions.

In the case of x[n] = ax1[n] + bx2[n], where a and b are constants, we can apply the DFT to both sides of the equation. By linearity property of the DFT, the DFT of the left-hand side (x[n]) can be expressed as the sum of the DFTs of the individual terms on the right-hand side (ax1[n] and bx2[n]).

Thus, the n-point DFT of x[n], denoted as X[k], is given by the linear combination of the individual DFTs:

X[k] = a * X1[k] + b * X2[k],

This equation states that each frequency bin of the DFT of x[n] is obtained by multiplying the corresponding frequency bin of the DFTs of x1[n] and x2[n] by their respective constants (a and b), and then summing these contributions.

In summary, the DFT of a linear combination of signals can be computed by taking the corresponding linear combination of their individual DFTs.

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The marginal cost of producing one more unit of the product when x = 100 is $150 per unit. To find the instantaneous rate of change (or the marginal cost) of c with respect to x when x = 100, we need to calculate the derivative of the cost function c(x) with respect to x and evaluate it at x = 100.

Let's assume that we have the cost function c(x) = 0.5x^2 + 50x + 1000, where x is the number of units produced. To find the derivative of this function, we need to use the power rule of differentiation, which states that if f(x) = x^n, then f'(x) = nx^(n-1). Applying this rule to our cost function, we get:

c'(x) = d/dx (0.5x^2 + 50x + 1000)
     = 1x^(2-1) + 50x^(1-1) + 0
     = x + 50

Now, we can evaluate this derivative at x = 100 to find the marginal cost:

c'(100) = 100 + 50
       = 150

Therefore, the marginal cost of producing one more unit of the product when x = 100 is $150 per unit. This means that if the company produces one more unit of the product, it will cost them $150 more than the cost of producing the previous unit. The significance of the marginal cost will be explained in a future chapter, but for now, it is important to understand that it is a crucial concept in economics and business decision-making.

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Step-by-step explanation:

Equation:  y = 12x + 0

Explaination: A proportional relationship is one in which two quantities vary directly with each other. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

Step-by-step explanation:

\(a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2\)

Answer:

53.81

Step-by-step explanation:

if u add the tip but the tip by itself is 8.21

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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A bag contains five red socks and eight blue socks. Lucky reaches into the bag and randomly selects two socks without replacement, the probability that Lucky will get different colored socks is 10/39.

We can divide the issue into two distinct possibilities and multiply them together to find a solution.

Let's start by thinking about the likelihood of choosing a red sock during the initial draw.

The likelihood of choosing a red sock on the first draw is 5/13 due to the fact that there are only five red socks among the total of thirteen socks (five red plus eight blue).

There are now twelve socks left in the bag after the first one is drawn, with four red and eight blue.

On the second draw, there is an 8/12 chance of choosing a blue sock, which is a different colour.

We add the probabilities together to determine the likelihood that both events (drawing a red sock first and a blue sock second) will occur:

(5/13) * (8/12) = 40/156 = 10/39

Therefore, the probability that Lucky will get different colored socks is 10/39.

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The quotient of the following expressions is given as 7.69, -9.18, 14.10, 7.69, and 8.78.

The quotient means the separation of something into different parts, sharing of something among different people, places, etc.

1.  Start fraction 9 + start root 2 and root over 4 minus start root 7 end root end fraction.

\(\dfrac{9 + \sqrt2}{4-\sqrt7} = 7.69\)

2.  Start fraction 9 start root 7 end root + start root 14 end root over negative 3 end fraction.

\(\dfrac{9\sqrt7 + \sqrt{14}}{-3} = -9.18\)

3.  Start fraction 36 minus 9 start root 7 end root + 4 start root 2 end root minus start root 14 end root end fraction.

\(36 - 9\sqrt7 + 4 \sqrt2 - \sqrt{14} = 14.10\)

4.  Start fraction 36 + 9 start root 7 end root + 4 start root 2 end root + start root 14 end root over 9 end fraction.

\(\dfrac{36 + 9\sqrt7 + 4 \sqrt2 + \sqrt{14} }{9} = 7.69\)

5.  Start fraction 79 over 9 end fraction.

\(\dfrac{79}{9} = 8.78\)

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Answer:

Step-by-step explanation:

\(x-5=2\qquad|\text{add 5 to both sides}\\\\x-5+5=2+5\\\\x=7\\\\\text{Substitute to}\ 6x-20:\\\\6\cdot7-20=42-20=22\)

Answer:

=32

Step-by-step explanation:

64÷2+0×2

32+0x2

32+0

=32

Answer:

64?

Step-by-step explanation:

Answer:

30 cm.

Step-by-step explanation:

Answer:

30 cm

Step-by-step explanation:

Perimeter is the outside measurement/ outline, add 10+10+5+5 which is all the sides together and you get your answer for perimeter

Answer:

40 people who don't like any of the three drinks.

Step-by-step explanation:

It is given there are 340 people in total

Number of people like tea=150

Number of people like tea only =90

Number of people like coffee only =80

Number of people like milk only =70

Number of people like coffee and milk only = 0

We can draw Venn diagram which helps us to find the number of people who don't like any of these three drinks. I'll attach the file.

Answer:

169 (second choice)

Step-by-step explanation:

\(13 [6^2 / (5^2-4^2) + 9]\)

\(13 [6^2 / (25 - 16) + 9]\)

\(13 [6^2 / 9 + 9]\)

13 [36 / 9 + 9]

13 [4 + 9]

13 [13]

169

Answer:

A' = 3A

Step-by-step explanation:

The area of a triangle is given by :

\(A=\dfrac{1}{2}\times b\times h\)

Where

b is base and h is height

If height is tripled, h' = 3h

New area,

\(A'=\dfrac{1}{2}\times b\times h'\\\\=\dfrac{1}{2}\times b\times 3h\\\\=3\times \dfrac{1}{2}\times b\times h\\\\=3A\)

So, the new area becomes 3 times the initial area.

Part (c) is the correct option i.e. The total dealer's cost is $16588.36.

What is Percentage ?

Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given, Cost paid for car's options = 82 % $3,098 = $2540.36

           Cost paid for base price = 85 % $15,480 = $13158.

           Destination charge = $890

∴ The total dealer's cost will be :

 = Cost paid for car's options +  Cost paid for base price +  Destination charge

=  $2540.36 + $13158 + $890

= $16588.36.

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Answer:

Apply the rule x^m/n = n√ x^m to rewrite the exponentiation as a radical.

9√k^2

Let's simplify

\(\\ \rm\Rrightarrow \dfrac{k^2}{9}\)

\(\\ \rm\Rrightarrow \dfrac{k^2}{3^2}\)

\(\\ \rm\Rrightarrow (\dfrac{k}{3})^2\)

Answer:

it would be 4

Step-by-step explanation:

Answer:

Point M

1 divided by 3 is 0.3 (repeated)

jump 3 times from 5 and go in the middle of the 0.3 and 0.2 and it should be around the middle which is point M.

Answer:

Geometric relationships control the orientation of an element with respect to another element or reference plane. For example, you can define a tangent relationship between a line and an arc. ... For example, a connect relationship and a tangent relationship can be used where an arc meets a line. (make me brainliest)

When developing the Object Relational Model in the models.py file for a Django project, data types for each attribute must be specified is true statement.

The statement "When developing the Object Relational Model in the models.py file for a Django project, data types for each attribute must be specified" is true.

In Django, the models.py file defines the Object Relational Model (ORM) that maps the database tables to Python classes. Each attribute in the model represents a column in the corresponding database table. In order to define the attribute, you must specify the data type for the corresponding column.

Django supports several built-in data types for attributes, such as CharField, IntegerField, DateField, BooleanField, etc. You can also define custom data types by creating your own model fields.

By specifying the data type for each attribute, Django can ensure that the values entered into the database are of the correct type and can perform appropriate data validation. This is essential for maintaining data integrity and avoiding data-related errors.

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