b) 1/16 + 3/64 + 9/256 + 27/1024 ....

Answer:

Total Miles he  drives first day      = 8 miles

Total Miles he drive second day   = 12miles

Total Miles he drives third day    =    18miles

Total Miles he drives fourth day    =  27 miles

Step-by-step explanation:

This is a problem of linear equations in 1 variable:

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

It is given in the question that ,

This week his goal is to drive bike about 65 total miles over four days. Each day, he wants to ride 1.5 times as far as he rode the day before.

Let, on the first day, he drives x miles. On second day, he drives 1.5x. On the third day, he drives 1.5(1.5x) and on the fourth day, he drives 1.5(1.5(1.5x)).

So the equation is :

x +1.5x + 1.5(1.5x) + 1.5(1.5(1.5x)) = 65miles

x + 1.5x + 2.25x + 3.375x   = 65miles

            8.125x   =    65 miles

                  x   =  65/8.125  miles

                  x   = 8 miles

so after solving the equation we get, on the first day Gavin drives 8 miles

similarly, on the second day he drives 12miles

               on third day 18 miles

   and     on the fourth day  27miles

more about linear equations in one variable at:

https://brainly.com/question/17139602

#SPJ10

Answer:

a. 3

b. -8

Step-by-step explanation:

let me know if you want an explanation

Answer:

angle 1 is equal to angle 4 ( vertically opposite angles)

if angle 1 is congruent to angle 8

then angle 4 is also congruent to angle 8

then slope of line L and n is equal

that is L is parallel to n

There are 5 bags and each bag has 5 apples and total there are 25 apples , Option A is the correct answer.

A perfect square is a number which can be written as the product of an integer with itself.

It is given that Mark divided a basket of apples evenly into small bags.

Let there be n no. of bags and therefore n number of apples in each bag

Then the total number of apples will be

n * n

n²

The value of total number of apples should be a perfect square,

In the option given only 25 is the perfect square

Therefore the equation can be made as

n² = 25

n = 5

There are 5 bags and each bag has 5 apples and total there are 25 apples.

To know more about Perfect Square

https://brainly.com/question/385286

#SPJ1

Answer:

See below

Step-by-step explanation:

x = amount of 6% milk....   amount of fat = .06x

45-x = amount of 3% milk ...amount of fat = .03 (45-x)

Amount of fat in final mix of 45 quarts = .04 (45)

Inputs = output

.06x     +   .03(45-x)     =    .04(45)

.06x   +    1.35 - .03x     =  1.8

.03x = .45

x = 15   quarts of 6%      then  30  quarts of 3%

The line on the graph which represents the same relationship between quantities. is line B; y = 2x

Number of almonds = 2 ounces

Bags of trail mix = x

Total mix = y

The equation:

y = 2 × x

y = 2x

Complete question:

Trevor uses 2 ounces of almonds in each bag of trail mix he makes.

Bags of Trail Mix Almonds (oz.)

6 Line on the graph represents the same relationship between quantities.

Learn more about graph:

https://brainly.com/question/4025726

#SPJ1

The slope of the line is

[tex]\frac{-1-4}{-1-0}=5[/tex]

So, the equation of the line in point-slope form is [tex]\boxed{y+1=5(x+1)}[/tex]

Answer:

hi

Step-by-step explanation:

no

Answer:

D

598*47+38=

28106+38=

28134

Answer:

11/2

Step-by-step explanation:

Multiply by 2/2 to remove the decimal.

The function can be best modeled by a linear regression and the values of a, b and c are -6, 100 and 240, respectively

From the table, we can see that as the number of years increases, the population increases.

This implies that the function can be best modeled by a linear regression.

A linear regression equation is represented by

ax + by = c

Next, we enter the data in a statistical calculator.

From the statistical calculator, we have the following summary:

The regression equation is then represented as:

y = bx + a

Where:

b = SP/SSX = 231.49/3937.5 = 0.05879

a = MY - bMX = 4.58 - (0.06*37.5) = 2.37952

So, we have:

y = 0.05879x + 2.37952

Approximate

y = 0.06x + 2.4

Multiply through by 100

100y = 6x + 240

Rewrite as:

-6x + 100y = 240

Hence, the values of a, b and c are -6, 100 and 240, respectively

Read more about regression equation at:

https://brainly.com/question/14184702

#SPJ1

Answer:

The data is best modeled by an exponential function.

The value of a is 2.653, the value of b is 1.01, and the value of c is not used

Step-by-step explanation:

EDGE answers

Answer:

See below.

Step-by-step explanation:

19.

The spinner has 12 equal-sized sections.

1/3 of 12 = 4

A number that appears in exactly 4 sections has a probability of 1/3. The number 3 appears exactly 3 times.

A number that appears more than 4 times has a probability greater than 1/3. The number 0 appears exactly 5 times.

A number that appears fewer that 4 times has a probability of less than 1/3.

Both 1 and 2 appear fewer than 4 times.

Answer:

Probability greater than 1/3: 0

Probability equal to 1/3: 3

Probability less that 1/3: 1, 2

20.

The amount of concentrate is 12 gallons.

The total amount of drink is 40 gallons.

The fraction of the concentrate out of the total is 12/40.

12/40 = 0.3

0.3 of each gallon is concentrate.

Color the bottom up to 0.30

The conditional probability that the person has the disease given that the test result is positive is of 0.4750 = 47.50%.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, the events are:

The percentages associated with a positive test is:

Hence:

[tex]P(A) = 0.939(0.038) + 0.041(0.962) = 0.075124[/tex]

The probability of both a positive test and having the disease is given by:

[tex]P(A \cap B) = 0.939(0.038) = 0.035682[/tex]

Hence the conditional probability is given by:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.035682}{0.075124} = 0.4750[/tex]

More can be learned about conditional probability at https://brainly.com/question/14398287

#SPJ1

Answer:

A cylinder

Step-by-step explanation:

Hope this helps :)

Answer: ZT = ZS

Step-by-step explanation: ZT = ZS must be true under all circumstances. This is because a perpendicular bisector of a line cuts the line into two equal pieces. It is the midpoint of the entire line. Thus, ZT is the same as ZS since the line is equally cut in half and thus are the same.

The state of the market if market price was fixed at Birr 25 per unit is excess demand

Qd = 50 - p

p = Qs + 5

p - 5 = Qs

if market price was fixed at Birr 25 per unit?

Qd = 50 - p

= 50 - 25

Qd = 25

Qs = p - 5

= 25 - 5

Qs = 20

The state of the market if market price was fixed at Birr 25 per unit is excess demand (demand greater than supply) leading to an increase in price.

Learn more about quantity demanded:

https://brainly.com/question/1692392

#SPJ1

Answer: D

Step-by-step explanation:

We can substitute in each of the coordinate pairs.

A) We get 3 < (2/3)(0)+2, which is false.

B) We get 1 < (2/3)(-3)+2, which is false.

C) We get 5 < (2/3)(3)+2, which is false.

D) We get 2 < (2/3)(1)+2, which is true.

Answer:

The account has $18,795.02.

Step-by-step explanation:

The account has $18,795.02.

3 years * $535 = $1,605

$1,605 * .0034 = $5.481

$5.481 * 36 (months) = $197.146

$18,795.02 = $1,605 + $197.146

Answer:

K could be 7 or 8

Step-by-step explanation:

If K was to be 7, the equation would be x^2 + 7x + 12 = (x+3)(x+4)

If K was to be 8, the equation would be x^2 + 8x + 12 = (x + 2)(x + 6)

Answer:

540,000 cubic centimeters

Step-by-step explanation:

1 meter and 20 centimeters is equal to 120 centimeters.

[tex]120 \times 90 \times 50 = 540000[/tex]

Answer:

∠a = 50°

∠b = 130°

∠c = 130°

Explanation:

Following Vertical Angles Theorem:

A straight line has 180° angle measure, ∠c and ∠a lies on a straight line

Also, following vertical angle theorem:

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: x = 6 \:\: units[/tex]

[tex]{\qquad \tt \rightarrow \: y = 20° } [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Two sides and their opposite angles of a Triangle are given equal.

[tex]\large \textsf{ For x :} [/tex]

[tex]\qquad \tt \rightarrow \: 2x - 1 = x + 5[/tex]

[tex]\qquad \tt \rightarrow \: 2x - x = 5 + 1[/tex]

[tex]\qquad \tt \rightarrow \: x = 6 \: \: units[/tex]

[tex] \large\textsf{For y :} [/tex]

[tex]\qquad \tt \rightarrow \: 3y - 10 = y + 30 [/tex]

[tex]\qquad \tt \rightarrow \: 3y - y = 30 + 10[/tex]

[tex]\qquad \tt \rightarrow \: 2y = 40[/tex]

[tex]\qquad \tt \rightarrow \: y = 20 \degree[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

B, A, C

Step-by-step explanation:

add the like terms together (ending in x2 with x2, ending in x with x etc )

Answer:

B A C

Step-by-step explanation:

combining like terms

Answer:

The total amount , principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 5.5% per year compounded 2 times per year over 8 years is $7,717.55.

Step-by-step explanation:

Compound interest is based on the principal amount and the interest that accumulates on it in every period.

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

First, convert R as a percent to r as a decimal

r = R/100

r = 5.5/100

r = 0.055 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 5,000.00(1 + 0.055/2)^(2)(8)

A = 5,000.00(1 + 0.0275)^(16)

A = $7,717.55

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 5.5% per year compounded 2 times per year over 8 years is $7,717.55.

Learn more about compound interest - https://brainly.com/question/18456266

#SPJ10

Answer:

A

Step-by-step explanation:

note that i = [tex]\sqrt{-1}[/tex]

given

- 1 + 2i[tex]\sqrt{3}[/tex]

= - 1 + [tex]\sqrt{2^2(-1)3}[/tex]

= - 1 + [tex]\sqrt{-12}[/tex]

The point is (6, 5).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given :

y - 2 = 3(x - 5)

Those point will satisfy after putting the value of x and y we get LHS= RHS.

take (4, 5)

5-2 = 3(4-5)

3= -3

Hence, not satisfied.

take, (6, 5)

5-2 = 3(6-5)

3= 3

Hence, satisfied.

take, (5, 5)

5-2 = 3(5-5)

3= 0

Hence, not satisfied.

take, (1, 4)

4-2 = 3(1-5)

2= -12

Hence, not satisfied.

Learn more about this concept here:

https://brainly.com/question/15060306

#SPJ1