Convert each measurement
18 meters = ??? centimeters

Answer:

The answer is below

Step-by-step explanation:

The slope of a line (m) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.

1)

[tex]Slope\ of\ PQ=\frac{1-(-2)}{9-(-3)}=\frac{1}{4} \\\\Slope\ of\ UV=\frac{-2-6}{5-3}=-4[/tex]

Since the product of their slope is -1, they are perpendicular

2)

[tex]Slope\ of\ PQ=\frac{1-7}{2-(-10)}=-\frac{1}{2} \\\\Slope\ of\ UV=\frac{1-0}{6-4}=\frac{1}{2}[/tex]

Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular

3)

[tex]Slope\ of\ PQ=\frac{8-1}{9-1}=\frac{7}{8} \\\\Slope\ of\ UV=\frac{8-1}{2-(-6)}=\frac{7}{8}[/tex]

Since the slopes are the same, they are parallel

4)

[tex]Slope\ of\ PQ=\frac{3-0}{9-(-4)}=\frac{3}{4} \\\\Slope\ of\ UV=\frac{6-(-3)}{8-(-4)}=\frac{3}{4}[/tex]

Since the slopes are the same, they are parallel

5)

[tex]Slope\ of\ PQ=\frac{1-2}{0-(-9)}=-\frac{1}{9} \\\\Slope\ of\ UV=\frac{-1-8}{-2-(-1)}=9[/tex]

Since the product of their slope is -1, they are perpendicular

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

7 * 2 = 14

14 * 2 = 28

28 * 2 = 56

56 * 2 = 112

Every term is 2x the preceding term.

Hence the sequence is a geometric progression. (GP)

Answer:

12p + 8q

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Well 8 x 4 is 32. And if Mrs. Kirti's 2 years younger than that, we subtract 2 from 32. So therefore 32-2=30.

The sampling is a an example of random sampling.

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here: A truck manufacturer selects 3 trucks at random from each of 6 models for safety testing.

From each of six models selects 3 models and Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population.

Thus clearly the sample is random sampling.

Hence, The sampling is a an example of random sampling.

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Answer:

C

Step-by-step explanation:

Because it is saying he drove 45 miles per hour.

Answer:

2x+x+90=180 <-----Sum of angles in a triangle

3x+90=180<-------- Solve

3x=90

x=30

Step-by-step explanation:

Answer:

p=25%

discount=25%

Step-by-step explanation:

Cost Price = 1.25 x - .4(1.25x)= 1.25x- .5x

Cost Price = .75x

S P = C+P

Profit = Selling price - Cost price

= x - 0.75x

=0.25x

the Profit is 25 %

Discount is 25 %

Answer:

2x^3

2*-2^3

2*-8

-16

therefore answer is -16

Answer:150

Step-by-step explanation:

The equation represents the selling price of a ticket with 65% off on the original price x is y = 0.35x and its graph has been drawn.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

After that, we need to substitute the values of x's and y's into the coordinate geometry.

In order to plot the graph, we need to find out y's values corresponding to x's value

As per the given,

x = original price

y = selling price

Since tickets sold 65% off x = (65/100)x = 0.65x

y = x - 0.65x

y = 0.35x

The graph of the above function has been drawn below with a slope of 0.65.

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Answer:

Please check the explanation.

Step-by-step explanation:

a)  How much will you have at the middle of the first year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 0.5 years

Total amount = A = ?

Using the formula

[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]

substituting the values

[tex]A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}[/tex]

[tex]A=300\cdot \frac{2.06}{2}[/tex]

[tex]A=\frac{618}{2}[/tex]

[tex]A=309[/tex] $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 0.5 years is $ 309.00.

Part b) How much at the end of one year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 1 years

Total amount = A = ?

Using the formula

[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]

so substituting the values

[tex]A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}[/tex]

[tex]A=300\cdot \frac{2.06^2}{2^2}[/tex]

[tex]A=318.27[/tex] $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 1 year is $ 318.27.

Answer:

It would be C.

Step-by-step explanation:

This is because they allow it to be 50 dollars and less, making it C.

Answer:

The solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]

So, (1,3) is not solution to the given system of equations.

Step-by-step explanation:

we can solve the system of equations to find the value of x and y and then verify if (1,3) is a solution or not.

The system of equation given is:

[tex]y=6x-3\\y=x-2[/tex]

Solving:

Let:

[tex]y=6x-3--eq(1)\\y=x-2--eq(2)[/tex]

Put value of y from equation 2 into equation 1

[tex]y=6x-3\\Put\:y=x-2\\x-2=6x-3\\x-6x=-3+2\\-5x=-1\\x=\frac{-1}{-5}\\x=\frac{1}{5}[/tex]

Now, put value of x in equation 2 to find value of y

[tex]y=x-2\\Put\:x=\frac{1}{5} \\y=\frac{1}{5} -2\\y=\frac{1-2*5}{5} \\y=\frac{1-10}{5}\\ y=\frac{-9}{5}[/tex]

So, the solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]

So, (1,3) is not solution to the given system of equations.

Answer:

hi

Step-by-step explanation:

Distance Formula D RT

Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour

Answer:

Step-by-step explanation:

total cost= c

containers of slime=s

c=5s+10

Answer:

The average rate of change for the given function, from x = −3 to x = 7 will be:

Step-by-step explanation:

Given the table

x                      f(x)

-3                     50

3                      10

7                       0

As the interval is from x = -3 to x = 7.

so

at x₁ = -3, f(x₁) = 50

at x₂ = 7,  f(x₂) = 0

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                       = [0 - 50] / [7-(-3)]

                      = [-50] / [7+3]

                      = -50 / 10

                      = -5

Therefore, the average rate of change for the given function, from x = −3 to x = 7 will be:

The best estimate for expression of 19% of 205 is 40.

Option A is the correct answer.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

To find a percentage of a number, we can convert the percentage to a decimal by dividing it by 100.

In this case, we want to find 19% of 205.

To do this, we first convert 19% to a decimal by dividing it by 100:

19 ÷ 100 = 0.19

This tells us that 19% is equivalent to 0.19 as a decimal.

Next, we multiply the decimal by the given number, which in this case is 205:

205 x 0.19 = 38.95

Therefore,

The best estimate for 19% of 205 is 40.

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Answer:

never give her money again

Answer: 11x - 9y - 3

Step-by-step explanation:

Collect like terms - start with x

9x - 8y +2x - 6 - y + 3

11x - 8y - 6 - y + 3

Collect all y terms

11x - 9y - 6 +3

Collect all integers

11x - 9y - 3 - final answer

Answer:

1 5/7

abcdefghijklmnopqrstuvwxyz

Answer:

1 and 5/7?

Step-by-step explanation:

if i read that correctly that would read as 5 - 3 and 2/7. therefore when i subtract the whole number first i get 2. Then i proceed to subtract the fraction. which would leave me with 1 and 5/7.

Answer:

amount: rs 400

percentage: 12.5%

Step-by-step explanation:

Before VAT: rs 3200

After VAT: rs 3600

VAT = 3600 - 3200 = 400

VAT = rs 400

percent = part/whole * 100%

percent = 400/3200 * 100%

percent = 12.5%

Answer:

The zeros of f(x) are:

[tex]x=5,\:x=4,\:x=2[/tex]

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)\:=\:\left(x\:-\:5\right)\left(x\:-\:4\right)\left(x\:-\:2\right)[/tex]

substituting f(x) = 0 to determine zeros of f(x)

[tex]0\:=\:\left(x\:-\:5\right)\left(x\:-\:4\right)\left(x\:-\:2\right)[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x-5=0\quad \mathrm{or}\quad \:x-4=0\quad \mathrm{or}\quad \:x-2=0[/tex]

solving x-5=0

[tex]x-5=0[/tex]

adding 5 to both sides

[tex]x-5+5 = 0+5[/tex]

[tex]x = 5[/tex]

solving x-4=0

[tex]x-4=0[/tex]

adding 4 to both sides

[tex]x-4+4 = 0+4[/tex]

[tex]x = 4[/tex]

solving x-2=0

[tex]x-2=0[/tex]

adding 2 to both sides

[tex]x-2+2 = 0+2[/tex]

[tex]x = 2[/tex]

Therefore, the zeros of f(x) are:

[tex]x=5,\:x=4,\:x=2[/tex]

Answer:

730 days =

2 calendar years

Time

730

2 years

Calendar year

Formula

divide the time value by 365

Answer:

2 years

Step-by-step explanation:

There are 365 days in a given year.

In order to solve this, divide 730 by 365:

730/365 = 2

Therefore, 730 days is 2 years.

Answer:

c. y = -x +2

Step-by-step explanation:

pass (0,2): y interception = 2

Line: y=mx+b     b=2

Answer:

469

Step-by-step explanation:

1. use the formula:

[tex]a_n=a_1+d*(n-1);[/tex]

where d - the step between two nearest terms, n - number of required term; a₁ - the first term of the given sequence.

2. according the formula above:

[tex]a_{59}=5+8*(59-1)=5+464=469.[/tex]

Answer:

144

Step-by-step explanation:

The sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946

so you can see the first term larger than 120 is the 144.

The first term in the sequence to exceed 120 will be 144.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The sequence is given below.

1, 1, 2, 3, 5, 8.

The sequence is given as,

aₙ = aₙ₋₁ + aₙ₋₂

The first and second terms are given as,

a₁ = 1 and a₂ = 1

Then the 7th term is given as,

a₇ = a₆ + a₅

a₇ = 5 + 8

a₇ = 13

Then the 8th term is given as,

a₈ = a₇ + a₆

a₈ = 13 + 8

a₈ = 21

Then the 12th term is given as,

a₁₂ = a₁₁ + a₁₀

a₁₂ = 89  + 55

a₁₂ = 144

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and 144.

The first term in the sequence to exceed 120 will be 144.

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Answer:

b.

Step-by-step explanation:

x + 2/3 = -4 [multiply the entire equation by 3 to get rid of denominator]

3x + 2 = -12  [subtract 2 from both sides of equation]

3x = -14 [divide by 3 to isolate x]

x = -14/3 or -4 2/3