Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths.

Answer:

1. Time (hours): 1     Distance (miles): 45

2. 1;45

  2;90

  3;135

  4;180

  5;225

  6;270

3. (c= constant of proportionality)

c= [tex]\frac{distance}{time}[/tex]

c=[tex]\frac{90 miles}{2 hours}[/tex]

c= 45 miles per hour

Step-by-step explanation:

So you may see for each hour they are going 45 miles by dividing 2 by 2 and 90 by 2, so there constant of proportionality is 45 miles per hour. (answer 3 is the step by step)

keep in mind that the height or altitude of a triangle is the perpendicular distance from its base to the top.  Check the picture below.

Answer:

multiply all of the numbers then divide by 0.5

Step-by-step explanation:

Answer:

Circle is closed and Graph shaded to the left

Step-by-step explanation:

look at an model of a number line.

Hope this helps :)))))

Answer: I think it should be about 150.5 square mm

Step-by-step explanation:

I just multiplied all the dimensions you wrote...

By the way if its wrong please tell me so I can learn.

Thanks!

Answer: the answer is 175.84

Step-by-step explanation: TSA of cylinder= pir( r + h)

= 3.14 x 4 x ( 4 + 10 )      {here diameter is 8 so radius is it's half}

= 3.14 x 4 x 14

= 175.84

Answer:

by using the formula of 2×22/7×r (r+h)

Answer:

#1, x=57
#2, r=223
#3, h=17
#4, g=48

Step-by-step explanation:

The mean of the scores is approximately 6.2. The correct answer is (C).

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

To calculate the mean of the scores based on the given frequency table, we need to multiply each score by its corresponding frequency, sum up the results, and then divide by the total frequency.

Let's perform the calculations:

(1 x 1) + (2 x 1) + (3 x 3) + (4 x 1) + (5 x 4) + (6 x 5) + (7 x 6) + (8 x 5) + (9 x 3) + (10 x 1) = 167

1 + 2 + 9 + 4 + 20 + 30 + 42 + 40 + 27 + 10 = 185

The total frequency is 1 + 1 + 3 + 1 + 4 + 5 + 6 + 5 + 3 + 1 = 30

Now, we divide the sum (185) by the total frequency (30) to find the mean:

185 / 30 = 6.1667

Rounding this value to the nearest tenth, the mean of the scores is approximately 6.2.

Therefore, the answer is C) 6.2.

Learn more about Arithmetic means here:

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Answer: The answer to 2, 6, 12, 16 is 9 and the answer to 5, 6, 12, 13 is 9

Step-by-step explanation: The mean of a set of numbers is another term for average. You add all of the numbers up like for example in the second set of numbers, 16+12+6+2 is equal to 36 and you then divide that sum by the amount of numbers you added which in this case is 4 so you get 36/4 which is equal to 9.

Mean of 2, 6, 12, 16 = (2 + 6 + 12 + 16) ÷ 4 = 36 ÷ 4 = 9

Mean of 5, 6, 12, 13 = (5 + 6 + 12 + 13) ÷ 4 = 36 ÷ 4 = 9

Answer:

7

Step-by-step explanation:

A prime number is a number which has no factors other than itself and 1. In other words, this number can only be divided by itself and 1 and result in a whole number answer. All of the other choices can be divided by some other numbers and result in a whole number answer.

Factors of 12:

1, 2, 3, 4, 6, 12

Facotrs of 15:

1, 3, 5, 15

Facotrs of 7:

1, 7

Factors of 6:

1, 2, 3, 6

Answer:

The number (7) is a prime number.

Factors of 2: 1 and 2 (Verifies the above definition)

Factors of 4: 1, 2 and 4 (Verifies the above definition)

Given number: 12

Let's list the factors of this number.

The number provided is not a prime number because the number has more than two factors. Therefore, Option A is not correct.

Given number: 15

Let's list the factors of this number.

The number provided is not a prime number because the number has more than two factors. Therefore, Option B is not correct.

Given number: 7

Let's list the factors of this number.

The number provided is a prime number because the number has exactly two factors. Therefore, Option C is correct.

Given number: 6

Let's list the factors of this number.

The number provided is not a prime number because the number has more than two factors. Therefore, Option D is not correct.

[tex]\overline{================================================}[/tex]

Learn more about Prime and Composite numbers:

Answer:

At lunchtime, Ryan and his other office workers walk around the edge of the building for exercise. If the volume of the larger part is 65,000 m³and the ...

Step-by-step explanation:

Data Set : {8, 2, 5, 0, 1, 9, 2, 5, 2}

Arrange in ascending order : {0, 1, 2, 2, 2, 5, 5, 8, 9}

Range = Last Term - First Term = 9 - 0 = 9 is the range

Mean = sum of terms/number of terms = 34/9 = 3.777... = 3.78 is mean

Mode = the most appearing integer in the set = 2 is the mode

Median = The integer at the middle of the set = 2 is the median

======================

Answer:

A, C, E, L and G, H, B, D

Step-by-step explanation:

Answer:

I think the answer is A but it is hard to know because I don't know what the passage is about.

Answer: 24

Step-by-step explanation:

12x2= 24

8x3=24

Answer:

24

Notice a pattern, the products are both 24. This means that 8 and 12 share an LCD of 24.

Answer:

C

Step-by-step explanation:

there is a small possibility that it may be C I am not even close to being sure that this is the answer and I am so sorry if this is wrong

Answer:

A (1,5) (1,8) (4,8) (4,5) = Square

B (2,5) (2,8) (4,8) (4,5) = Rectangle

C (2,3) (4,6) (8,6) (10,3) = Trapezoid

D (2,1) (2,5) (6,5) (6,1) = Square

Step-by-step explanation:

Just enter the coordinates into Desmos graphing calculator.

Answer:

The answer is 148.6666667

Step-by-step explanation:

1) Set a linear quation

[tex] \frac{22.30}{x} = \frac{15}{100} [/tex]

2) Cross multiply

[tex]15x = 22.30 \times 100[/tex]

3) Multiple the right side

[tex]15x = 2230[/tex]

4) Divide both side by 15

[tex] \frac{15x}{15} = \frac{2230}{15} [/tex]

5) Solve the linear equation

[tex]x = 148.6666667[/tex]

Answer:

31.5 square inches

Step-by-step explanation:

7 x 1.5 = 10.5

2 x 1.5 = 3

10.5 x 3 = 31.5

Answer:

[tex]\displaystyle \int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx \approx \boxed{0.862854}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Addition/Subtraction]:
[tex]\displaystyle (u + v)' = u' + v'[/tex]

Derivative Rule [Basic Power Rule]:

Integration

Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Methods: U-Substitution and U-Solve

Special Integrals:

Step-by-step explanation:

*Note:
The problem is too big to fit all work. I will assume that you know how to do basic calculus.

Step 1: Define

Identify given.

[tex]\displaystyle \int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx[/tex]

Step 2: Integrate Pt. 1

Step 3: Integrate Pt. 2

Identify variables for u-substitution.

Step 4: Integrate Pt. 3

Step 5: Integrate Pt. 4

Identify variables for u-substitution for the 1st integral.

Use another variable besides u to avoid confusion with earlier substitutions.

Step 6: Integrate Pt. 5

Solve the 1st integral using basic integration techniques listed under "Calculus":
[tex]\displaystyle \begin{aligned}\int\limits^{x = 1}_{x = 4} {\cos (u - e)} \, du & = \int\limits^{x = 1}_{x = 4} {\cos v} \, dv \\& = \sin v \bigg| \limits^{x = 1}_{x = 4} \\& = \sin (u - e) \bigg| \limits^{x = 1}_{x = 4} \\& = \sin (x) \bigg| \limits^{x = 1}_{x = 4} \\& = \sin 1 - \sin 4\end{aligned}[/tex]

Step 7: Integrate Pt. 6

To solve the 2nd integral, we use the same methods as "Step 6":

[tex]\displaystyle\begin{aligned}\int\limits^{x = 1}_{x = 4} {\frac{\cos (u - e)}{u}} \, du & = \int\limits^{x = 1}_{x = 4} {\frac{\sin e \sin u + \cos e \cos u}{u}} \, du \\& = \sin e \int\limits^{x = 1}_{x = 4} {\frac{\sin u}{u}} \, du + \cos e \int\limits^{x = 1}_{x = 4} {\frac{\cos u}{u}} \, du \\& = \sin (e) \text{Si} (u) \bigg| \limits^{x = 1}_{x = 4} + \cos (e) \text{Ci} (u) \bigg| \limits^{x = 1}_{x = 4} \\\end{aligned}[/tex]

[tex]\displaystyle\begin{aligned}\int\limits^{x = 1}_{x = 4} {\frac{\cos (u - e)}{u}} \, du & = \sin (e) \text{Si} (x + e) \bigg| \limits^{x = 1}_{x = 4} + \cos (e) \text{Ci} (x + e) \bigg| \limits^{x = 1}_{x = 4} \\& = \bigg[ \sin (e) \text{Si} (1 + e) - \sin (e) \text{Si} (4 + e) \bigg] + \bigg[ \cos (e) \text{Ci} (1 + e) - \cos (e) \text{Ci} (4 + e) \bigg] \\\end{aligned}[/tex]

Step 8: Integrate Pt. 7

Combine our 2 integral values to obtain a final answer:

[tex]\displaystyle \int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx & = \int\limits^{x = 1}_{x = 4} {\cos ( u - e)} \, du - e \int\limits^{x = 1}_{x = 4} {\frac{\cos (u - e)}{u}} \, du \\\begin{aligned}& = \sin 1 - \sin 4 - e \bigg[ \sin (e) \text{Si} (1 + e) - \sin (e) \text{Si} (4 + e) + \cos (e) \text{Ci} (1 + e) - \cos (e) \text{Ci} (4 + e) \bigg] \\& \approx \boxed{0862854} \\\end{aligned}[/tex]

∴ we have evaluated the given special definite integral.

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Topic: Calculus

Answer:6

Step-by-step explanation:

Heron's Formula is: area = sqrt(s(s-a)(s-b)(s-c)) and s is the semiperimeter

Putting the side lengths in would be:

s = (a + b + c)/2

area = sqrt(6(6-5)(6-4)(6-3)) = sqrt(6*1*2*3) = 3*sqrt(2)

So the answer is 3*sqrt(2) which is equal to 6

Answer:

  6 units²

Step-by-step explanation:

You want the area of the 3-4-5 right triangle.

The area formula for a triangle is ...

  A = 1/2bh

where b represents the "base" and h represents the "height". The height is always measured to the vertex opposite the base, in direction perpendicular to the base.

The perpendicular legs of a right triangle have the necessary relationship for either one to be considered the "base", and the other to be the "height."

Here, that means we can call the side of length 3 units the "base" and the side of length 4 units the "height", or vice versa.

This means the area is ...

  A = 1/2(3 units)(4 units) = 6 units²

__

Additional comment

Heron's formula for the area of a triangle based on all three side lengths can be used for this, but is more work than necessary.

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Awnser is (r,0)=(2,8,0.49)

(5/2, 4/3)

17 is your answer

Because different between the x and 13 is equal to the 9 and 13 as shown in diagram

we can write equation

13-9 = x-13

4=x-13

x= 13+4 = 17 Ans

Answer:

[tex]x=\dfrac{131}{333}[/tex]

Step-by-step explanation:

Assign the decimal to a variable:

Let  [tex]x=0.\overline{393}[/tex]

Multiply both sides by 1000:

[tex]\implies x \cdot 1000=0.\overline{393} \cdot 1000[/tex]

[tex]\implies 1000x=393.\overline{393}[/tex]

Subtract the first equation from the second to eliminate the part after the decimal:

[tex]\begin{array}{r r c r}& 1000x & = & 393.\overline{393} \\\\- & x & = & 0.\overline{393} \\\\\cline{2-4} \\& 999x & = & 393 \\\end{array}[/tex]

Divide both sides by 999:

[tex]\implies \dfrac{999x}{999}=\dfrac{393}{999}[/tex]

[tex]\implies x=\dfrac{393}{999}[/tex]

Reduce the fraction:

[tex]\implies x=\dfrac{393 \div 3}{999 \div 3}[/tex]

[tex]\implies x=\dfrac{131}{333}[/tex]