1, Find the 5th term of the geometric sequence whose first term is 1 and whose 4th term is 343.

2,Find two numbers whose difference is 32 and whose arithmetic mean exceeds the

geometric mean by 4.

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Answer:

c. y = -x +2

Step-by-step explanation:

pass (0,2): y interception = 2

Line: y=mx+b     b=2

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:

2x^3

2*-2^3

2*-8

-16

therefore answer is -16

Answer:

never give her money again

Answer:

Step-by-step explanation:

total cost= c

containers of slime=s

c=5s+10

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:

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

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

3x=90

x=30

Step-by-step explanation:

Answer:

[tex]40\%[/tex]

Step-by-step explanation:

[tex] \frac{2}{5} \times 100 = 40\%[/tex]

Divide 2 by 5 to get a decimal, then multiply the decimal by 100 to get a percent.

2/5 = 0.4

0.4x100 = 40

2/5 = 40%

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.

More about the sequence link is given below.

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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:

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.

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:

Step-by-step explanation:

There are total cadies in the bag:

Probability of pulling a coffee candy is:

So each 5th candy should be coffee candy

Then you need to pull at least:

Note:

To ensure 3 coffee candies you would need to pull 25 - 2 = 23 candies

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.

For more information about the graph of a function

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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:

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:

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

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:

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:

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:

c. hhhhhhhhhhhhuhuuuuuuuuuuuuuuuuuuuuu

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:

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%

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:

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:

Answer:

C

Step-by-step explanation:

Because it is saying he drove 45 miles per hour.

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