According to Euclidean geometry, a plane contains at least points that on the same line.

Answer:

[tex]\overline{a} = \frac{v - v_0}{t} = \frac{\Delta v}{\Delta t}[/tex]

Step-by-step explanation:

Answer:

  a = Δv/Δt

Step-by-step explanation:

The definition of acceleration is helpful: the rate of change of velocity.

The average acceleration is the change in velocity over some time period, divided by the length of the time period.

Answer:

8 + 10

Step-by-step explanation:

Step 1: Define sum

The sum of any 2 numbers means "add" or "combine" the 2 numbers together.

Step 2: Write out expression

"Sum" = add or +

8 + 10

Answer:

1. x = 10  2. x = 7  3. x = 1  4. x = 6

Explanation:

1. -2x + 81 = 61 (Subtract 81 from 61)

  -2x = -20 (Divide)

   x = 10

2. 9x - 58 = 5 (Add 58 to 5)

   9x  = 63 (Divide)

   x = 7

3. 21 +10x = 3x + 28 (Rearrange expression)

   21 - 28 = 3x - 10x (Combine like terms)

   -7 = -7x (Divide)

    x = 1

4. 9x - 42 = 2x (Rearrange)

   9x - 2x = 42 (Combine like terms)

   7x = 42 (Divide)

   x = 6

Answer:

20 roses at $23 is the better buy

Step-by-step explanation:

Here, we have Alonzo who wants to purchase Roses. He has two buying options.

Either he buys 12 roses at $15 or buys 20 roses at $23. We want to know which of the two options is better for him.

what we shall do here is to get the unit price per each of the roses in each set. The set having the lower rose to dollar value is the better buy.

Firstly, 12 roses for $15.

Price per rose here is 15/12 = $1.25 per rose

For 20 roses at $23

Price per rose here is 23/20 = $1.15 per rose

Since 1.15 is less than 1.25, then the second option is the better buy.

Answer:

8

Step-by-step explanation:

x=3

y=6

to find x+y-1, sub in x and y

3+6-1 = 8

Answer: 8

Step-by-step explanation:

x+y+(-1), given x=3, y=6, and z=-4

---------

 x+y+(-1)

=(3)+(6)+(-1) ⇔ substitute x and y

=9+(-1) ⇔ add 3 and 6

=8

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

Hello,

[tex]\dfrac{x^2-100}{x+10}=\dfrac{x^2-10^2}{x+10}=\dfrac{(x-10)(x+10)}{x+10}=x-10\\\\\text{so, we can conclude.}\\\\\displaystyle \lim_{x\rightarrow-10} \ \dfrac{x^2-100}{x+10}=-10-10=-20[/tex]

Thanks

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{112 \: {inches} \: ^{2} }}}}}[/tex]

Step-by-step explanation:

Given,

Height of a parallelogram ( h ) = 8 inches

Base of a parallelogram ( b ) = 14 inches

Area of a parallelogram ( A ) = ?

Finding the area of a parallelogram

[tex] \boxed{ \sf{area \: of \: parallelogram \: = \: base \: \times \: height}}[/tex]

⇒[tex] \sf{area \: of \: parallelogram \: = \: 14 \: \times 8}[/tex]

⇒[tex] \sf{area \: of \: parallelogram = 112 \: {inches}^{2} }[/tex]

Hope I helped!

Best regards! :D

Answer:

23

Step-by-step explanation:

8+c

Let c = 15

8+15

23

Answer: 23

Step-by-step explanation:

If c is 15 then plot 15 into the expression and add them

8 + 15 = 23

Answer:

a) 86,314.

b) 9,162,500.

Step-by-step explanation:

(a) 838(100 + 3)

= 83800 + 2514

= 86314.

(b) 91625 x 179 - 91625 x 79

= 91625(179 - 79)

= 91625 x 100

= 9162500.

Answer:

a,b are the right answers

Step-by-step explanation:

Answer:

2.33 × 10^6

Step-by-step explanation:

I just used a calculator, to be honest. It was super simple.

2.33 * 10^6

2.33 * (10*10*10*10*10*10)

which then equals 2,330,000

Answer:

32

Step-by-step explanation:

hope you have an amazing day, friend!

Answer:

[tex]\Huge \boxed{32}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]8[20-( [9-5)]^2][/tex]

Evaluating according to PEMDAS:

[tex]\Rightarrow \ \ 8[20-( 4)^2][/tex]

[tex]\Rightarrow \ \ 8[20-16][/tex]

[tex]\Rightarrow \ \ 8[4][/tex]

[tex]\Rightarrow \ \ 32[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

The experimental probability is the same as the theoretical probability.

Step-by-step explanation:

The given data is:

color            observed frequency               relative frequency

Red                            15                                          3/10

Blue                           12                                          6/25

Green                         8                                           4/25

Yellow                        10                                          1/5

Purple                         5                                           1/10

The experiment was repeated 50 numbers of times.

Solution:

Theoretical probability is basically what is expected to happen without experimenting and experimental probability is what actually happens as a   results of an experiment.

Theoretical probability =  favorable outcomes / all possible outcomes

Experimental probability = no. of times outcome occurs / no. of times

                                                                                      experiment is performed The experimental probability  and theoretical probability are same i.e. 1/5

This can be seen from the table:

Experimental probability = 1/5

As the experiment is performed 50 times and the outcome (yellow tile) occurs 10 times so using the formula of experimental probability:

10/50 = 1/5

Now as given, there are 5 number of tiles (red,blue,green,yellow,purple) so number of possible outcomes is 5. Yellow tile among these 5 tiles is 1. So the favorable outcomes is 1. So looking at the given formula of theoretical probability:

1/5

So

experimental probability = 1/5

theoretical probability = 1/5

Hence the experimental probability is the same as the theoretical probability.

Answer: A

Step-by-step explanation: it’s A for the lazy people

Answer:

(a) aₙ = 22 + 6(n - 1)

(b) The 14th row has 100 seats

Step-by-step explanation:

1. (a) Remember that an arithmetic series has the general formula a + (n - 1)d. Here a = the first term, and d = difference between first and second term, or in other words the difference between the nth and (n + 1)th terms.

aₙ = 22 + 6(n - 1)

This is our iterative rule for this arithmetic series, aₙ = 22 + 6(n - 1).

(b) Here n = the row number. We want to know the row number that has 100 seats. Let's equate the expression '22 + 6(n - 1)' to 100, and solve for n.

100 = 22 + 6(n - 1),

100 = 22 + 6n - 6,

100 = 16 + 6n,

6n = 84,

n = 84 / 6 = 14

=> the 14th row has 100 seats

Answer:

Step-by-step explanation:

[tex] {7}^{2} \times {7}^{0} \div 7[/tex]

Follow PEDMAS order of operations

[tex] {7}^{2} = 49 \\ {7}^{0} = 1 \\ = 49 \times 1 \div 7 \\ = 49 \div 7 \\ = 7[/tex]

If you have any more questions, please let me know.

Answer:

$1.49

Just divide 7.45 by 5 and you'll get your answer

Answer:

30 ft

Step-by-step explanation:

6 x 5 = 30

you multiply 6 times 5 and you get 30

Step-by-step explanation:

Answer:

[tex]y=2x-2[/tex]

Step-by-step explanation:

Because the coordinates for x = 0 is (0,-2) so that's your y- intercept.

Then if you all you have to do is make sure that you have the correct slope.

So i just made a table on paper and started going up and seeing what slope i'd need to match the table on the screen.

[tex]2(0)-2=-2\\2(1)-2=0\\2(2)-2=2\\2(3)-2=4[/tex]

Hope you find this Helpful

Answer:

Step-by-step explanation: let me drive the bus

Answer:  4 hours

Step-by-step explanation:

distance (d) = [rate (r) - current (c)] × time (t)

Given: d = 40, r = 15, c = 5

40 = (15 - 5)t

40 = 10t

4 = t

Answer:

[tex]Rate = 0.125[/tex]

Step-by-step explanation:

Given

[tex]Daily\ Cups = 500[/tex]

[tex]Weekly\ Cups =4000[/tex]

Required

Determine the day to week rate

This can be calculated by dividing the daily medicine cups by the weekly cups;

[tex]Rate = \frac{Daily}{Weekly}[/tex]

Substitute 500 for Daily and 4000 for Weekly

[tex]Rate = \frac{500}{4000}[/tex]

[tex]Rate = 0.125[/tex]

Hence, the rate of the daily to weekly medicine cup is 0.125

Answer:

a(first term)=4

d(common difference)=6

sum of first 6 terms=114

The sum of the first 6 terms is given by 114

An Arithmetic progression (AP) is a special type of progression in which the difference between two consecutive terms is always a constant. The terms of an arithmetic progression series is a a+d, a + 2d, a + 3d, a + 4d, a + 5d,…

Given here The 3rd and the 6th terms of an Arithmetic Progression (A.P) are 16 and 34 respectively. Here on increase in 3 terms the value changes by  34-16=18 Thus if we move by +1 term the common difference must be 18/3=6 and thus the common difference is equal to 3.

∴ The Arithmetic progression is given by:

4,10,16,22,28,34 . . . .

∴ The sum of the first 6 terms is 4+10+16+22+28+34=114

Hence, The sum of the first 6 terms is given by 114

Learn more about an Arithmetic progression here:

https://brainly.com/question/1610404

#SPJ2

Answer:

root 49= 7^2

root 100= 10^2

root 144= 12^2

root 324= 18^2

root 441= 21^2

Step-by-step explanation:

Answer:

Ratio of their surface area = 9:16

Step-by-step explanation:

Volume of cube A = a^3

Volume of cube B = b^3

Ratio of their volumes= 27:64

Volume of cube A = a^3

27 = a^3

a= 3√27

= 3

Volume of cube B = b^3

64 = b^3

b =3√64

= 4

Surface area of cube a = 6a^2

=6 × 3^2

= 6 × 9

= 54

Surface area of cube b = 6b^2

= 6 × 4^2

= 6 × 16

= 96

Surface area of cube a : surface area of cube b

= 54:96

= 9:16

Hi there! Hopefully this helps!

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[tex]\frac{175-172}{\frac{29}{\sqrt{20} } }[/tex]

Subtract 172 from 175 to get 3.

[tex]\frac{3}{\frac{29}{\sqrt{20} } }[/tex] ≈ 0.462634754

Factor [tex]20=2^{2} \times 5[/tex]. Rewrite the square root of the product [tex]\sqrt{2^{2} \times 5 }[/tex] ≈ [tex]4.472135955[/tex] as the product of square roots [tex]\sqrt{2^{2} } \sqrt{5}[/tex] ≈ 4.472135955. Take the square root of [tex]2^{2}[/tex] ≈ [tex]4[/tex]

[tex]\frac{3}{\frac{29}{2\sqrt{5} } }[/tex]

Rationalize the denominator of [tex]\frac{29}{2\sqrt{5} }[/tex] ≈ [tex]6.484597135[/tex] by multiplying numerator and denominator by [tex]\sqrt{5}[/tex] ≈ [tex]2.236067977.[/tex]

[tex]\frac{3}{\frac{29\sqrt{5} }{2(\sqrt{5} )^{2} } }[/tex]

The square of [tex]\sqrt{5}[/tex] ≈ [tex]2.236067977[/tex] is 5.

[tex]\frac{3}{\frac{29\sqrt{5} }{2 \times 5 } }[/tex] ≈ [tex]0.462634754[/tex]

Multiply 2 and 5 to get 10.

[tex]\frac{3}{\frac{29\sqrt{5} }{10 } }[/tex] ≈ [tex]0.462634754[/tex]

Divide 3 by [tex]\frac{29\sqrt{5} }{10}[/tex] ≈ 6.484597135 by multiplying 3 by the reciprocal of [tex]\frac{29\sqrt{5} }{10}[/tex] ≈ [tex]6.484597135.[/tex]

[tex]\frac{3\times 10}{29\sqrt{5} }[/tex] ≈ [tex]0.462634754[/tex]

Rationalize the denominator of [tex]\frac{3\times 10}{29\sqrt{5} }[/tex] ≈ 0.462634754 by multiplying numerator and denominator by [tex]\sqrt{5}[/tex] ≈ [tex]2.236067977.[/tex]

[tex]\frac{3\times 10\sqrt{5} }{29(\sqrt{5})^{2} }[/tex] ≈ [tex]0.462634754[/tex]

The square of [tex]\sqrt{5}[/tex] ≈ [tex]2.236067977[/tex] is 5.

[tex]\frac{3\times 10\sqrt{5} }{29 \times {5} }[/tex] ≈ [tex]0.462634754[/tex]

Multiply 3 and 10 to get 30.

[tex]\frac{30\sqrt{5} }{29 \times {5} }[/tex] ≈ [tex]0.462634754[/tex]

Multiply 29 and 5 to get 145.

[tex]\frac{30\sqrt{5} }{145 }[/tex] ≈ [tex]0.462634754[/tex]

[tex]\frac{175-172}{\frac{29 }{\sqrt{20} } } = \frac{3}{\frac{29}{\sqrt{20} } } =\frac{3\sqrt{20} }{29}=\boxed{\frac{6\sqrt{5} }{29} } = \boxed{0.463}[/tex]

Refer to the attached image for further explanation:

Answer:

x = 10

PQ = 27

QR = 20

Step-by-step explanation:

You can add up PQ and QR and set it equal to PR.  Solve for x.

(2x + 7) + (2x) = 47

2x + 7 + 2x = 47

4x + 7 = 47

(4x + 7) - 7 = 47 - 7

4x = 40

4x/4 = 40/4

x = 10

Now, use the solved x-value to find PQ and QR.

PQ = 2x + 7

PQ = 2(10) + 7

PQ = 20 + 7

PQ = 27

QR = 2x

QR = 2(10)

QR = 20

Answer:

1/2 cup of dressing

Step-by-step explanation:

To find the total amount of dressing, we just need to add up the amounts of olive oil and balsamic vinegar.

1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2 cup

Answer:

1/2 cup

Step-by-step explanation:

Simplify the following:

1/3 + 1/6

Hint: | Put the fractions in 1/3 + 1/6 over a common denominator.

Put 1/3 + 1/6 over the common denominator 6. 1/3 + 1/6 = 2/6 + 1/6:

2/6 + 1/6

Hint: | Add the fractions over a common denominator to a single fraction.

2/6 + 1/6 = (2 + 1)/6:

(2 + 1)/6

Hint: | Evaluate 2 + 1.

2 + 1 = 3:

3/6

Hint: | Reduce 3/6 to lowest terms. Start by finding the GCD of 3 and 6.

The gcd of 3 and 6 is 3, so 3/6 = (3×1)/(3×2) = 3/3×1/2 = 1/2:

Answer: 1/2

Answer:

When an equation that has no solution, it means that the equation does not have an answer and that there is no way that the equation will be true regardless of the values given to variables or where the variables are on one side or both sides of the equation because of the way the equation was set up or constructed.

Step-by-step explanation:

For example, the following equation with variables on both sides of the equal sign that has no solution, we have;

21 + 9·x = 15+ 5·x + 4·x

21 + 9·x = 15+ 9·x

Subtracting 9·x from both sides gives;

21 + 9·x - 9·x  = 15+ 9·x - 9·x

21 + 0 = 1 5 + 0

21 = 15 (Which not true and cannot be true because 21 ≠ 15)

For example of equation with variables on one side of the equal sign has no solution, we have;

21 + 9·x - 5·x - 4·x = 15

21 + 9·x - 9·x  = 15

21 + 0  = 15

21 = 15 (Which not true and cannot be true because 21 ≠ 15).

Answer:

they don't always have solutions

Answer:

[tex]\frac{17}{2}[/tex]

Step-by-step explanation:

To convert a mixed fraction to a improper fraction, you have to multiply the denominator (2) by the whole number (8). 8 multiplied by 2 is 16. Then add the numerator (1). 16+1=17. That becomes your numerator, the denominator (2) stays the same.

I hope this helps!

Answer:

(0,13/3)

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b

We know the slope is 2/3 and a point on the line is (-5,1)

y = 2/3x +b

Substitute the point into the equation

1 = 2/3 (-5) +b

1 = -10/3 +b

3/3 = -10/3 +b

Add 10/3 to each side

10/3 = b

The equation is

y = 2/3 x+13/3

The y intercept is

(0,13/3)

Answer:

[tex](0,13/3)[/tex]

Step-by-step explanation:

Since we know the slope and a point, we can use the point-slope form.

Recall that the point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Let m be 2/3 and let (-5,1) be x₁ and y₁. Therefore:

[tex]y-(1)=\frac{2}{3}(x-(-5))[/tex]

Simplify:

[tex]y-(1)=\frac{2}{3}(x+5)[/tex]

Distribute:

[tex]y-1=\frac{2}{3} x+\frac{10}{3}[/tex]

Add 1 to both sides. The left cancels. 1 is the same as 3/3:

[tex]y=\frac{2}{3} x+\frac{10}{3}+\frac{3}{3}\\[/tex]

Simplify:

[tex]y=\frac{2}{3}x+\frac{13}{3}[/tex]

This is in slope-intercept form. The coefficient is the slope and the y-intercept is the constant. Thus, the y-intercept is 13/3.

Answer:

$210

Step-by-step explanation: