You bike 4 miles the first day of your​ training, 4.2 miles the second​ day, 4.6 miles the third​ day, and 5.4 miles the fourth day. If you continue this​ pattern, how many miles do you bike the seventh​ day?

Answers

Answer 1

On the seventh day, following the pattern of doubling the increment from the previous day, the biker would bike 16.6 miles.

To determine how many miles will be biked on the seventh day, we need to recognize the pattern in the distances biked each day. Starting with the first day and continuing through the fourth day, we see increases of 0.2 miles, 0.4 miles, and 0.8 miles respectively. It seems that each day, the increment from the previous day doubles.

Day 1: 4 milesDay 2: 4 + 0.2 = 4.2 milesDay 3: 4.2 + 0.4 = 4.6 milesDay 4: 4.6 + 0.8 = 5.4 miles

Following this pattern, the distances for the next three days would be:

Day 5: 5.4 + 1.6 (double of 0.8) = 7 milesDay 6: 7 + 3.2 (double of 1.6) = 10.2 milesDay 7: 10.2 + 6.4 (double of 3.2) = 16.6 miles

Therefore, the biker would bike 16.6 miles on the seventh day of training following this pattern.


Related Questions

High Flying Airlines charges $20 to check a piece of luggage up to 40 pounds. Each additional pound over 40
pounds costs $0.25. The maximum weight for a piece of checked luggage is 80 pounds. Write a function to
represent the situation.

Answers

Final answer:

To represent the situation, we can define a function called calculateLuggageCost that takes the weight of the luggage as an input and calculates the cost based on the given pricing structure. The function checks if the weight is less than or equal to 40 pounds and returns $20 in that case. If the weight is between 40 and 80 pounds, it calculates the additional cost by multiplying the excess weight (weight - 40) by $0.25 and adds it to the base cost of $20. If the weight exceeds 80 pounds, it returns a message indicating that the maximum weight limit has been exceeded.

Explanation:

To represent the situation, we can define a function that takes the weight of the luggage as an input and calculates the cost based on the given pricing structure. Let's call this function calculate Luggage Cost. Here's how we can define it:

function calculate Luggage Cost(weight) {
 if (weight <= 40) {
   return 20;
 } else if (weight <= 80) {
   return 20 + 0.25 * (weight - 40);
 } else {
   return 'Exceeded maximum weight limit';
 }
}

This function checks if the weight is less than or equal to 40 pounds and returns $20 in that case. If the weight is between 40 and 80 pounds, it calculates the additional cost by multiplying the excess weight (weight - 40) by $0.25 and adds it to the base cost of $20. If the weight exceeds 80 pounds, it returns a message indicating that the maximum weight limit has been exceeded.

convert 250% to a fraction in simplest form. Please help! Thank you!!

Answers

Answer:

5/2

Step-by-step explanation:

5/2
Explain :hope this helps

Which of the following is the graph of the solution
​of 3x+9≤30 ?
​​

Answers

Answer:C

Step-by-step explanation:

The required solution to the inequality is the region before x ≤ 7.

Given that,
The solution to the inequality 3x + 9 ≤ 30, is to be determined.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here, the inequality,
3x + 9 ≤ 30
subtracting 9 from both sides,
3x ≤ 21
Divide by 3 on both sides,
x  ≤  7
The solution to the inequality is the region before x ≤ 7.

Thus, the required solution to the inequality is the region before x ≤ 7.

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Which situation best represents a linear function?
A.
A bakery charges a $55.00 delivery fee, in addition to $3.00 per slice for a wedding cake.

B.
A $55.00 deposit earns 3% interest each month.

C.
A small town, with an initial population of 55, has a population increase of 3% each year.

D.
The number of initial bacteria in a culture, 55, triples each hour.

Answers

Answer:

A

Step-by-step explanation:

y=3x+55

You read a book for 25 minutes. Then you played 2 games on the computer . Each game took 10 minutes to play which step can you ise to find the total number of minutes you spent reading your book and playing games

Answers

Answer:

you spent a total of 45 minutes

Step-by-step explanation:

you didnt give any answer choices so i just answered the question. if you spent 25 mins reading a book and 10 mins each playing 2 games (20 mins altogether) that makes a total of 45 minutes.

Hope this helps

Please mark brainliest :)

The radius,r , of a sphere is 4 . 3m Calculate the sphere's volume,v . Use the value 3.14 for sqaure, and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answers

Answer:

V(s) = 332,9 m³

Step-by-step explanation:

The volume of a sphere is:

V(s) = (4/3)*π*r³

if we know  r  = 4,3 m then

V(s)  = (4/3)*3,14*(4,3)³

V(s)  = 332,8693 m³

Rounding the answer to the nearest tenth

V(s) = 332,9 m³

What is the domain of y = log Subscript 4 Baseline (x + 3)?
all real numbers less than –3
all real numbers greater than –3
all real numbers less than 3
all real numbers greater than 3

Answers

Answer:

All real numbers greater than -3

Step-by-step explanation:

The domain of a log is the baseline is greater than 0.

Set x + 3 greater than zero and solve

x + 3 > 0

x > -3

The domain of the function y = log4(x + 3) is all real numbers greater than -3, as the argument of the logarithm must be positive.

The domain of the function y = log4(x + 3) is determined by the values of x for which the logarithmic expression is defined. Since the logarithm of a number is only defined for positive arguments, we need x + 3 to be greater than zero. Therefore, the domain is all real numbers greater than -3.

What this means is x must be any number such that when you add 3 to it, the result is a positive number. A simple inequality expresses this: x + 3 > 0, which simplifies to x > -3. Hence, the correct domain is all real numbers greater than -3.

una señal de trafico arroja una sombra de 2,53m, mientras que en ese instante la sombra de un poste que mide 1,40m es de 1,95m avarigua la altura de la señal de trafico

Answers

Answer:

Un poste de 2,9 m de altura proyecta una sombra de 1,18 m de largo.  

Al mismo tiempo, un edificio cercano proyecta una sombra de 38,25 m de largo.  

¿Cuán alto es el edificio? Redondee su respuesta al medidor más cercano.

1.18/2.9 a 38,25/b

esto le dará una pista

Step-by-step explanation:

In the following proportion, what does y equal? A. 156 B. 13 C. 5.2 D. 1.4

Answers

Answer:

b

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

btw ya'll shouldn't curse kids see this stuff too.

Determine the angles A and B given the following information:
a=15
b=22

Answers

Answer:

B ≈ 55. 71°

A = 34.29°

Step-by-step explanation:

The picture demonstrate on how you could solve the angles of A and B in a triangle with a given sides a and b. Angle C is a 90° .That makes the triangle a right angle triangle.

Let us find angle B

using SOHCAHTOA principle

tan B = opposite.adjacent

tan B = b/a

tan B = 22/15

tan B = 1.46666666667

B = tan⁻¹ 1.46666666667

B = 55.7131230228  °

B ≈ 55. 71°

Let us find angle A

The sum of angle in a triangle = 180° Therefore, the angle A can be solved when you subtract angle C and B from 180°.

angle A = 180° - 90° - 55.71°

angle A = 34.29°

Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake?

Answers

Answer:

30 cookies and 6 cupcakes

Step-by-step explanation:

5+1=6

5:1=6

?:?=36

36/6=6

5x6=30

1x6=6

30 cookies

6 cupcakes

Final answer:

Annie will need to bake 30 cookies and 6 cupcakes for the bake sale based on the given ratio.

Explanation:

Annie bakes cookies and cupcakes in a ratio of 5 to 1. To solve the problem, the first thing we need to do is determine how many 'parts' there are in total. In this ratio, there are 5 parts cookies and 1 part cupcake, making a total of 6 parts.

In the question, it is mentioned that Annie needs to make 36 desserts. Each 'part' can then be calculated as 36 (total desserts) divided by 6 (total parts), which is 6.

As a result, Annie will need to bake 30 cookies (5 parts multiplied by 6) and 6 cupcakes (1 part multiplied by 6).

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A wedding planner uses 72 ivy stems for 18 centerpieces. When she arrives at the venue, she realizes she will only need 16 centerpieces. How many ivy steams should she use so that the ratio of ivy stems to centerpieces stay the same ?

Answers

Answer:

64 ivy stems

Step-by-step explanation:

Ratio of ivy stems to centerpieces:

72/18 = 4 ivy stems per centerpiece

Therefore,

16 x 4 = 64

Answer:

64 ivy stems

Step-by-step explanation:

There's 72 ivy stems for 18 centerpieces meaning 4 stems per 1 centerpiece.

to answer multiply by 16:

1:4 x 16 = 16 centerpieces and 64 stems

A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 18 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.

Answers

Answer:

the answer is 84.56

Step-by-step explanation:

A = lw

A = 18 · 4

A = 72

The area of the rectangle is 72 cm2.

Circle

A = πr2

A = 3.14(2)2

A = 3.14(4)

A = 12.56

The area of the circle is 12.56 cm2.

Find the area of the bookmark.

A = 72 + 12.56

A = 84.56

Angle DXC and ________ are complementary angle?

Answers

Angle DXC and BXC are complementary angle.

Step-by-step explanation:

∠DXC complements with ∠BXC

Complementary angle means the sum of 2 angles that have a vein or form a right angle, which is 90°.

If we add ∠DXC with ∠BXC, it will form a right angle, 90°.

Hope it helpful and useful :)

We want to find the complementary angle to DXC.

We will see that the complementary angle is CXB

Let's start by defining what complementary angles are.

Two angles a and b are complementary if:

a + b = 90°.

This means that we must find another angle such that when we add it to DXC we get a right angle.

Let's look at the diagram.

We can see that we have the line AD, and there is a segment XB, such that the angle AXB is a right angle.

Then the angle DXB is also a right angle.

Now, you can see that the angle DXB is equivalent to DXC + CXB

Then we can see that the complementary angle to DXC is CXB.

If you want to learn more, you can read:

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What is the perimeter of this shape... Captionless Image

Answers

Answer:

The shape is not there so i can not solve it

Step-by-step explanation:

HELP! HELP!
The table list the frozen treats sold at the high school football concession stand by the booster club. The items along with their prices and quantities sold (given by the variables a, b, and c) are shown in the table. The expression 1.75a + 2.25b + 2.75a + 2.25c + 1.75b + 1.25c represents what the booster club sold at the last football game.

Which expression is equivalent to the part of the expression that represents the sold quantities of b and c?

A) 4.00b + 3.50c
B) 7.50 + bc
C) 7.50bc
D) 7.50(b + c)

Answers

Answer:

The answer should be C. By combining like terms you can find the answer. 1.75a+2.75a = 4.5a

2.25b + 1.75b = 4b

2.25c + 1.25c = 3.5c

Step-by-step explanation:

Answer:

The answer is A). 4.00b + 3.50c

Step-by-step explanation:

2.25b + 1.75b = 4.00b

2.25c + 1.25c = 3.50c

hello solve this please!

Answers

Answer:

x = 16

Step-by-step explanation:

they are equal angles

Please mark brainliest :)

Answer:

X=16

Step-by-step explanation:

What is 5 to the 3rd power in standard form

Answers

Answer:

125

Step-by-step explanation:

5x5=25 25x5=125

5 to the 3rd power (5^3) in standard form is 1.25 * 10^2.

To express 5 to the 3rd power (5^3) in standard form, we'll calculate the result first and then represent it in standard form.

5^3 means multiplying 5 by itself three times:

5^3 = 5 * 5 * 5 = 125.

Now, to express 125 in standard form, we'll use the convention where a number is written as a product of a number between 1 and 10 and a power of 10. This form is used to make large or small numbers more manageable

To do this, we'll write 125 as 1.25 multiplied by a power of 10. Since 125 is equal to 1.25 multiplied by 100 (10^2), we can express it in standard form as:

125 = 1.25 * 10^2.

5 to the 3rd power (5^3) in standard form is 1.25 * 10^2.

In standard form, numbers are expressed as A × 10^n, where A is a number between 1 and 10, and n is an integer representing the power of 10 by which A is multiplied to form the number. In this case, A is 1.25, and n is 2, making it 1.25 × 10^2.

This form simplifies large numbers and is commonly used in mathematics and science for ease of representation.

For more such questions on standard form

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8p = 56 what does p=

Answers

Answer:

p=7

Step-by-step explanation:

What you need to do here is to isolate p.

This way, you can find the value of p.

8p=56

We can divide both sides by 8 to make this work.

This will isolate p while keeping the equation true.

8p/8=p

56/8=7

Therefore, p=7

Find the area of the circle. Round your answer to the nearest hundredth.
00
3 in.

Answers

Answer:

Step-by-step explanation:300

The dimensions of Kara’s bedroom floor are 8 3/4 feet by 10 2/3. What if the area of her bedroom floor

Answers

Answer:

[tex]93\frac{1}{3}[/tex]

Step-by-step explanation:

The area of a bedroom floor is the width multiplied by the length. We know that the length's is [tex]10\frac{2}{3}[/tex] feet and the width is [tex]8\frac{3}{4}[/tex] feet. We just multiply the 2 fractions to find the area of her bedroom floor in feet squared

[tex]10\frac{2}{3} * 8\frac{3}{4}[/tex]

→ There area various methods but I am going to use the improper fraction method. First convert the fractions into improper fractions

[tex]\frac{32}{3} *\frac{35}{4}[/tex]

→ We can cancel out 4 and 32 with 1 and 8

[tex]\frac{8}{3} *\frac{35}{1}[/tex]

→ Multiply like normal fractions

[tex]\frac{280}{3}[/tex]

→ Convert into mixed fraction

[tex]93\frac{1}{3}[/tex]

Final answer:

The area of Kara's bedroom floor is 93 1/3 square feet, which is calculated by converting the given dimensions into improper fractions, multiplying them, and then simplifying.

Explanation:

The area of Kara's bedroom floor is calculated by multiplying the room's length by its width. The dimensions of the room are given as 8 3/4 feet by 10 2/3 feet. We first convert these mixed numbers into improper fractions: 8 3/4 becomes 35/4 and 10 2/3 becomes 32/3. To find the area, we multiply these two fractions together:

Area = (35/4) × (32/3) feet2

Now, we find the product of the two fractions:

Area = (35 × 32) / (4 × 3) square feet

Area = 1120 / 12 square feet

Area = 93 1/3 square feet

Therefore, the area of the bedroom floor is 93 1/3 square feet. When purchasing carpet, Kara would need to round up to ensure she has enough carpet to cover the entire floor, which is typically sold by the whole square foot.

What is the value of the expression (-3/8) (2/5)? Write your answer as a fraction in simplest. form.

Answers

Answer:

-3/ 20

Step-by-step explanation:

-3/8 * 2/5

Rewriting

-3/5 * 2/8

Simplify the right term by dividing the top and bottom by 2

-3/5 * 1/4

Multiply the numerators and then the denominators

-3/ 20

Answer:

- 3/20

Step-by-step explanation:

-3/8 * 2/5

= -6/40

= -3/20

At the gym, Ava swims every 10 days, runs every 4 days and cycles every 5 days. If she did all three activities today, in how many days will she do all three activities again on the same day?

Answers

Answer: After 20 days

Step-by-step explanation: you have to find the greatest common multiple so that the number is a multiple for each of them

since 10 is multiple of 5 you have to find the lcm of 10 and 4 or 5 and 4 which is still 20

so just multiply them and if she swims and does cycles every 10 days then you know that if she is swimming she is cycling, but if she is cycling she might not be swimming. So if running is 4 days then just multiply 4*5 = 20

Students are selling pies for a school fundraiser. Customers can buy cherry pies and apple pies. Jennifer sold 12 cherry pies and 3 apple pies for a total of 144. Jacob sold 2 cherry pies and 9 apple pies for a total for 126

Answers

Answer: A cherry pie costs 9 and an apple pie cost 12

Step-by-step explanation:

Let an apple pie be represented by a

Let an cherry pie be represented by c

Jennifer sold 12 cherry pies and 3 apple pies for a total of 144. This can be written as:

12c + 3a= 144

Jacob sold 2 cherry pies and 9 apple pies for a total for 126. This can be written as:

2c + 9a = 126

12c + 3a= 144 ............. i

2c + 9a = 126 ........... ii

Multiply equation i by 2

Multiply equation ii by 12

24c + 6a = 288 ........ iii

24c + 108a = 1512 ...... iv

Subtract iv from iii

-102a = -1224

a = 1224/102

a = 12

An apple pie costs 12

From equation i

12c + 3a= 144

12c + (3×12) = 144

12c + 36 = 144

12c = 144 - 36

12c = 108

c = 108/12

c = 9

A cherry pie costs 9

Final answer:

The problem is about solving a system of linear equations. By assigning C to represent the price of a cherry pie and A to represent the price of an apple pie, we created two equations to reflect Jennifer and Jacob's pie sales. Then solve the equations.

Explanation:

The subject of the school fundraiser problem is systems of linear equations. Applying the method of simultaneous equations, we can represent this problem with two equations. Let's represent the cost of a cherry pie as C and an apple pie as A.

For Jennifer's sales, we form the equation 12C + 3A = 144. For Jacob's sales, we form the equation 2C + 9A = 126. To solve this system of equations, we can use substitution or elimination. These equations are a representation of the fact that each pie type has a consistent price, irrespective of who is selling it or how many of each are sold.

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Find the volume, to the nearest m to the third power of a cylinder with diameter 6 m and height 8 m

Answers

Answer: [tex]226.08m^3[/tex]

Step-by-step explanation:

[tex]V=(3.14)(3m)^2(8m)\\V=(3.14)(9m^2)(8m)\\V=226.08m^3[/tex]

Answer:

226.08m³

Step-by-step explanation:

what is 20+1?I really need help.LOL

Answers

The answer to 20+1

=21

Answer:

21.

Step-by-step explanation:

20+1=21

You can like use a calculator for this stuff...

LaTasha was presented with the following data set and argued that there was no correlation between x and y. Is LaTasha correct? Use the regression equation to explain your reasoning.

Answers

Answer:

LaTasha is correct. There is no correlation between x and y. The slope of the line of best fit is zero, which shows that there is no negative or positive correlation.

Final answer:

No, LaTasha is not correct. To determine whether there is a correlation between x and y, we need to use the regression equation and calculate the correlation coefficient.

Explanation:

No, LaTasha is not correct. To determine whether there is a correlation between x and y, we need to use the regression equation. If the regression equation is significant and the correlation coefficient is significantly different from zero, then there is a linear relationship between x and y. If the correlation coefficient is not significantly different from zero, then there is no significant linear relationship. In this case, we need to calculate the correlation coefficient and see if it is significant.

To calculate the correlation coefficient, we use the formula r = √(SSR / SST), where SSR is the sum of squared residuals and SST is the total sum of squares. If the correlation coefficient is significantly different from zero, then there is a linear relationship between x and y.

In conclusion, we cannot determine if there is a linear correlation between x and y without calculating the correlation coefficient.

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8 points!
Anthony rode this bike from point A to point B using Cherry Street. How much FURTHER would his trip have been if he took Orange Drive and Peach Avenue instead?

a.36 yards

b.113 yards

c.28 yards

d.198 yards

Answers

Answer: c.28 yards

Step-by-step explanation:

Hi, Since the triangle is a right triangle we have to apply the Pythagorean theorem to find the lenght of Orange Dr street.

c2 = a2+b2

Where c is the hypotenuse (the longest side) and a and b are the other sides of the triangle.

Replacing with the values given

85^2 = 77^2 + b^2

7225 = 5929 +b^2

7225-5929 = b^2

1296 = b^2

√1296 = b

36 = b ( orange Dr length)

Adding the lengths of orange and Peach ave .

36+77 = 113 yards

Subtracting the length of cherry st.(85)

113 -85 = 28 yards

His trip would have been 28 yards further  

Students investigating the packaging of Rues Potato Chips, labeled 28.3 grams, randomly selected 50 bags and found a mean weight of 28.1 grams with a standard deviation of 1.4 grams. Calculate a 99% confidence interval for the mean weight of Rues potato chips.

Answers

1.7 grams per bag , lmk

Solve for n in 6(n-3)-2n=10

Answers

Answer:

the answer to your question will be n = 7

Step-by-step explanation:

as much as I would like to, I'm really not that great at explaining things

The value of x from the given equation is 7.

The given equation is 6(n-3)-2n=10.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 6(n-3)-2n=10

6n-18-2n=10

4n-18=10

Transpose -18 to other side of the equation, we get

4n =10+18

4n = 28

Transpose 4 to other side of the equation, we get

x = 28/4

x = 7

Therefore, the value of x from the given equation is 7.

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