A car travels 0.75 miles every minute.explain how you could use proportional reasoning too find how far the car travels in a hour

Answer:

Question (8). m∠1 = 142°

                     m∠2 = 300°

Question (9). m∠1 = 73°

                     m∠2 = 82°

Step-by-step explanation:

Question (8). m∠1 + 38° = 180° [Supplementary angles]

                              m∠1 = 180 - 38

                              m∠1 = 142°

                              m∠x = 38° [Alternate interior angles]

                               m∠y = 22° [Alternate interior angles]

                Now, m∠2 = 360° - (m∠x + m∠y)

                                   = 360° - (38 + 22)°

                          m∠2 = 300°

Question (9). m∠RMN + 98° = 180°

                       m∠RMN = 180 -98

                                      = 82°

                       m∠RMN = m∠ARM = 82°

                             m∠2 = 82°

                        m∠SNM = 73° [Vertical angles]

                        m∠SNM = m∠OSR = 73°[Corresponding angles]

                               m∠1 = 73°

Answer:

f(-3) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = -1x - 4

Step 2: Evaluate

Answer:

794 stamps in his collection

Step-by-step explanation:

If Amir started out with 397 stamps and doubles his collection, he would have 794.
Take the original amount and multiply it by 2

397(2) =794 stamps

Answer:794

Step-by-step explanation:

397x2=794  

Answer:

C. the mean is greater

Step-by-step explanation:

took the test

Ratios 18:3 and 6:1 are equivalent because they represent the same relationship between two quantities. This can be seen by simplifying the first ratio to 6:1, which is the same as the second ratio.

The trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

Ratios are equivalent if they represent the same relationship between two or more quantities. In the ratios 18:3 and 6:1, both ratios represent the same relationship between two quantities.

To see why, we can simplify the first ratio by dividing both the numerator and denominator by 3:

18 ÷ 3 = 6

3 ÷ 3 = 1

The simplified ratio is now 6:1, which is equivalent to the second ratio.

This means that for every 18 units of the first quantity, there are 3 units of the second quantity, and for every 6 units of the first quantity, there is 1 unit of the second quantity. The relationship between the quantities is the same in both ratios, so they are equivalent.

Therefore, ratios 18:3 and 6:1 are equivalent because they represent the same relationship between two quantities. This can be seen by simplifying the first ratio to 6:1, which is the same as the second ratio.

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g + b = 94

b - 4 = 2g

b = 2g + 4

3g + 4 = 94

3g = 90

g = 30

30 girls 64 boys

Answer:

144

Step-by-step explanation:

Using the process PEMDAS I got 144

8 × (4^2 + 2)

First, you solve inside the parentheses, the exponent is the beginning step.

8 x(16+2)

The next step of this equation is adding, which gives us the sum of 18.

8 x 18

Our last step is multiplication.

144 is our product/answer.

Answer:

1/5 of 10 is 2

Step-by-step explanation:

you divide ten by the denominator (5) and multiply the answer (2) by the numerator (1), giving you 2.

hope this helps :) !!!

Answer:  Drawing a blue marble and a yellow marble at the same time from a bag of marbles is the example of dependent events.

Step-by-step explanation: When the cards are replaced, or flipping coins or rolling dice, the outcome of the first event does nor affect the probability of the next event.

Drawing two marbles at the same time is essentially the same as drawing one and Not replacing it and then drawing the second one. The number of marbles left affects the probability.

Answer:

A

Step-by-step explanation:

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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Answer:

30%

Step-by-step explanation:

Answer:

Thus, the y-intercept of the line is 7

Step-by-step explanation:

One given line can be expressed with the slope-intercept form as follows:

\(y=mx+b\qquad\qquad [1]\)

Where m is the slope of the line and b is the y-intercept.

We are given the following equation of the line:

7x-4y=-28

Let's transform the equation to look like the slope-intercept form [1].

Subtract 7x:

-4y=-7x-28

Divide by -4:

y=7/4x+7

Comparing with the equation [1]:

m=7/4

b=7

Thus, the y-intercept of the line is 7

The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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the Taylor polynomial T3(x) for the function f(x) = x\(e^{(-5x)}\)centered at a = 0 is T3(x) = 1 + 0.25\(x^{2}\) - 0.0083\(x^{3}\)

To find the Taylor polynomial T3(x) for the function f(x) = x\(e^{(-5x)}\)centered at a = 0, we need to find the first four derivatives of f(x) and evaluate them at x = 0:

f(x) = x\(e^{(-5x)}\)

f'(x) = \(e^{(-5x)}\) - 5x\(e^{(-5x)}\)

f''(x) = 25x\(e^{(-5x)}\) - 20\(e^{(-5x)}\)

f'''(x) = -125x\(e^{(-5x)}\) + 75\(e^{(-5x)}\)

f''''(x) = 625x\(e^{(-5x)}\) - 500\(e^{(-5x)}\)

Now, we can write the Taylor polynomial T3(x) as:

T3(x) = f(0) + f'(0)x + (f''(0)/2!)\(x^{2}\) + (f'''(0)/3!)\(x^{3}\)

T3(x) = f(0) + f'(0)x + (f''(0)/2!)\(x^{2}\) + (f'''(0)/3!)\(x^{3}\)

T3(x) = f(0) = 0 + f'(0)x = \(e^{0}\) × 1 - 5 × 0 × \(e^{0}\) = 1

T3(x) = f(0) + f'(0)x + (f''(0)/2!)\(x^{2}\) = 1 + 0.25\(x^{2}\)

T3(x) = f(0) + f'(0)x + (f''(0)/2!)\(x^{2}\) + (f'''(0)/3!)\(x^{3}\) = 1 + 0.25\(x^{2}\) - 0.0083\(x^{3}\)

Therefore, the Taylor polynomial T3(x) for the function f(x) = x\(e^{(-5x)}\)centered at a = 0 is T3(x) = 1 + 0.25\(x^{2}\) - 0.0083\(x^{3}\)

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Answer:

0.63 meters

Step-by-step explanation:

Given the following :

1 meter = 100 centimeters

1 centimeter will be (1/100)meter

1 meter is divided into two :

Assume x and y

One part = 0.37 meters, = x

Then y will be :

x + y = 1 meter

x = 0.37

0.37 + y = 1

y = 1 - 0.37

y = 0.63 meters

Hence, the other part will be 0.63 meters

If your bottom time is 25 minutes, general rules recommend that you ascend immediately to 15 feet then remain there for 8 minutes. You should then go to the surface and not dive for 6 hours.

The recommended bottom time is 24 minutes which means that staying there for 25 minutes will have exceeded this recommendation.

You should immediately ascend to 15 feet or 5 meters, and then wait there for 8 minutes. Then return to the surface and avoid diving for the next 6 hours.

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Answer:

54 degrees

Step-by-step explanation:

Full angle is 131 degrees

131-77=54

Answer:sorry for the delate

Step-by-step explanation:

Answer:

2) D

4) A

Step-by-step explanation:

y=3(x-1)

multiply

3(x-1)

then y=3x-3

y+1=4/3(x+3)

multiply 4/3(x+3)

y=4/3x+3

Answer:

1) D. y = 3x-3

2) A. y = 4/3 x+3

Step-by-step explanation:

1)

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : y-(3*x-3)=0

Step 1:

Equation of a Straight Line

Solve   y-3x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-3x+3  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000

 y-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/1 Our line therefore "cuts" the x axis at x= 1.00000

 x-intercept = 3/3  =  1  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - (-3.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  6.000/2.000 =  3.000  

Geometric figure: Straight Line

 Slope = 6.000/2.000 = 3.000

 x-intercept = 3/3 = 1

 y-intercept = -3/1 = -3.00000

2)

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(4/3*x+3)=0

Step 1:

Simplify   4/3

Equation at the end of step  1:

y -  ((4/3 • x) +  3)  = 0

Step 2: Rewriting the whole as an Equivalent Fraction

Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

3 = 3/1 = 3 · 3/3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x + 3 · 3/3 = 4x+9/3

Equation at the end of step  2:

y - (4x+9)/3=0

Step 3:

Rewriting the whole as an Equivalent Fraction :

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

y = y/1 = y · 3/3

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

y • 3 - ((4x+9))     3y - 4x - 9

————————————————  =  ———————————

       3                  3      

Equation at the end of step

3

:

 3y - 4x - 9

 ———————————  = 0  

      3      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y-4x-9

 ——————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y-4x-9  = 0

Equation of a Straight Line

4.2     Solve   3y-4x-9  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y-4x-9  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000

 y-intercept = 9/3  =  3  

Calculate the X-Intercept :

When y = 0 the value of x is 9/-4 Our line therefore "cuts" the x axis at x=-2.25000

 x-intercept = 9/-4  = -2.25000  

Calculate the Slope :

    Slope     =  2.667/2.000 =  1.333  

Geometric figure: Straight Line

 Slope = 2.667/2.000 = 1.333

 x-intercept = 9/-4 = -2.25000

 y-intercept = 9/3 = 3

Answer:

depends on the car

Step-by-step explanation:

Answer:

It depends on how many sits the car have

Step-by-step explanation:

The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

A function is a block of code that performs a specific task and can be reused throughout a program. In this case, the function `substitute` is designed to replace all occurrences of one element (`x`) in a list (`y`) with another element (`z`).

Here is the definition of the function `substitute` in Python:

```python
def substitute(x, y, z):
 # Create a new list to hold the modified values
 new_list = []

 # Loop through each element in the original list
 for element in y:
   # If the element is equal to x, replace it with z
   if element == x:
     new_list.append(z)
   # Otherwise, keep the original element
   else:
     new_list.append(element)

 # Return the new list
 return new_list
```

Here is an example of how to use the function:

```python
>>> original_list = [1, 2, 3, 4, 1, 2, 3, 4]
>>> print(substitute(1, original_list, 5))
[5, 2, 3, 4, 5, 2, 3, 4]
```

In this example, all occurrences of the number 1 in the original list are replaced with the number 5 in the new list.

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Answer:

60 f+80=287

Step-by-step explanation:

Answer:

Please check step by step explanation

Step-by-step explanation:

Here, we want to write each as a fraction

We proceed as follows;

a. -3/8 = -3/8

b. -5 = -5/1

c -51/4 = -21/4

d. -1.6 = -16/10 = -8/5

e. 8.03 = 803/100

f. 0.4 = 4/10

Answer:

575/64

Step-by-step explanation:

-5/8(-3/8-14)

15/64+70/8

15/64+560/64

575/64

While using bisection method to find the solution of the equation f(x)=x⁴ +3x-2=0 on interval [0, 1], after the first step of the bisection method, the interval becomes [0.5, 1].

To use the bisection method to find the solution of the equation f(x) = x⁴ + 3x - 2 = 0 on the interval [0, 1], we start by evaluating the function at the endpoints of the interval.

f(0) = 0⁴ + 3(0) - 2 = -2

f(1) = 1⁴ + 3(1) - 2 = 2

Since the function changes sign on the interval [0, 1] (f(0) < 0 and f(1) > 0), we can conclude that there is at least one root within this interval.

The bisection method involves iteratively dividing the interval in half and selecting the subinterval where the function changes sign. In each iteration, we calculate the midpoint of the interval and evaluate the function at that point.

After the first step, we find the midpoint of the interval [0, 1]:

midpoint = (0 + 1) / 2 = 0.5

We then evaluate the function at the midpoint:

f(0.5) = (0.5)⁴ + 3(0.5) - 2 = -0.375

Since f(0.5) is negative, we can update our interval to [0.5, 1]. The new interval now contains the root of the equation.

This updated interval allows us to continue the bisection method and refine our approximation of the root of the equation f(x) = x⁴ + 3x - 2 = 0 within the specified interval.

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Diamonds are incorporated in solidified magma called kimberlite, which originates deep within the Earth.

Kimberlite is a volcanic rock formed in the Earth's mantle and brought to the surface through volcanic eruptions. The high pressure and temperature conditions in the mantle allow for the formation of diamonds from carbon atoms. When kimberlite eruptions occur, they transport diamonds and other mantle-derived materials to the Earth's surface, where they eventually cool and solidify.

The discovery of diamonds in kimberlite pipes has played a significant role in the development of the diamond mining industry. These pipes serve as primary sources for diamond extraction and are found in various locations around the world, including South Africa, Russia, and Canada. The study of kimberlites also provides valuable information about the Earth's mantle composition and its geodynamic processes. Overall, the relationship between diamonds and kimberlite is an essential aspect of both the gemstone industry and the study of the Earth's interior.

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Answer:

BA ≅ DA

Step-by-step explanation:

∠BAC = ∠DAC                           Given  

AC = AC                                     Reflexive

At this point you have a side and an angle

if BA ≅DA   then SAS

The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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