You bike 5 miles the first day of your​ training, 5.3 miles the second​ day, 5.9 miles the third​ day, and 7.1 miles the fourth day. If you continue this​ pattern, how many miles do you bike the seventh​ day?

The graph of the function is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) = x^2 - 1

We have the x values to be

x = ±5 to 0

Substitute the known values in the above equation, so, we have the following representation

f(5) = (5)^2 - 1 = 24

f(4) = (4)^2 - 1 = 13

f(3) = (3)^2 - 1 = 9

f(2) = (2)^2 - 1 = 3

f(1) = (1)^2 - 1 = 0

f(0) = (0)^2 - 1 = -1

Next, we plot the graph using the points

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The value of n in terms of b is given as 42%.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

And to convert a fraction or a decimal into percentage, they are multiplied by 100.

Given that,

n = 14m.

And, m = 3% of b.

From the given expressions, n can be written in terms of b as follows,

n = 14m

=> n = 14 × 3% of b

=> n = 14 × 3/100 × b

=> n = 42/100 × b

The conversion of 42/100 into percentage is 42%.

Hence, the value of n is 42 percentage of b.

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Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

Answer:

124 us cups

Explanation:

The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = 2π ∫ [a, b] x * h(x) dx

Where:

- V is the volume of the solid

- π represents the mathematical constant pi

- [a, b] is the interval over which we are integrating

- x is the variable representing the x-axis

- h(x) is the height of the cylindrical shell at a given x-value

In this case, we need to solve for x in terms of y to express the equation in terms of y.

Rearranging the given equation:

x = 5 ± √(1 - y)

Since we are only interested in the region in the first quadrant, we take the positive square root:

x = 5 + √(1 - y)

Now we can rewrite the volume formula with respect to y:

V = 2π ∫ [c, d] x * h(y) dy

Where:

- [c, d] is the interval of y-values that correspond to the region in the first quadrant

To determine the interval [c, d], we set the equation equal to zero and solve for y:

1 - (x - 5)² = 0

Expanding and rearranging the equation:

(x - 5)² = 1

x - 5 = ±√1

x = 5 ± 1

Since we are only interested in the region in the first quadrant, we take the value x = 6:

x = 6

Now we can evaluate the integral to find the volume:

V = 2π ∫ [0, 1] x * h(y) dy

Where h(y) represents the height of the cylindrical shell at a given y-value.

Integrating the expression:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy

To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:

h(y) = 5 + √(1 - y)

Substituting this expression back into the integral:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

Now, we can evaluate this integral to find the volume

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

To simplify the integral, let's expand the expression:

V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy

V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy

Now, let's integrate term by term:

\(V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2]\)] evaluated from 0 to 1

V = \(2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)]\)

V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]

V = 2π (25.5)

V = 51π cubic units

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Answer:

We can write sin 21° as 1200 / x and also 0.36 so we can write:

1200 / x = 0.36

1200 = 0.36x

x = 1200 / 0.36

x ≈ 3333 ft

The indication of QRS and TUV are similar is QRS ~ TUV.

Similar triangles are triangles that have the same shape but differ in size. Similar items include all equilateral triangles and squares with any side length. In other words, if two triangles are identical, their corresponding angles and sides are congruent and in equal proportion. The " ~ " sign here denotes the resemblance of triangles.

The three-sided polygon is the triangle. The following is the criteria for triangle similarity:

Corresponding angles of both triangles are equal, and corresponding sides of both triangles are proportional to each other.

In Triangle QRS and TUV the similarity sign is used.

We know the ≅ is the sign of Congruence.

and, ~ is the sign of Similarity.

So, the sign of Similarity is QRS and TUV.

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Answer:

Probability of not an O type blood = 0.55

Step-by-step explanation:

Given:

Probability of O type blood = 0.45

Computation:

Probability of not an O type blood = 1 - Probability of O type blood

Probability of not an O type blood = 1 - 0.45

Probability of not an O type blood = 0.55

This means 0.55 people in america doesn't have O type blood

The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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Answer:

The cost is 250

Step-by-step explanation:

Let's call the cost of the bench "x". The cost of the garden table is then 3x. The combined cost of the two items is $1000, so we can set up the following equation:

x + 3x = 1000

Combining like terms, we have:

4x = 1000

Dividing both sides by 4, we find:

x = 250

So the cost of the bench is $250.

Answer:

Step-by-step explanation:

To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.

Given:

Average daily balance for November = $700

Unpaid balance at the end of November = $1,400

Annual percentage rate (APR) = 15.6%

Step 1: Calculate the interest charged for the month of November.

Interest = (Average daily balance * APR * Number of days in the month) / 365

Number of days in November = 30

Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)

Step 2: Add the interest to the unpaid balance to get the total balance on December 1.

Total balance = Unpaid balance + Interest

Total balance = $1,400 + $36.44 = $1,436.44

Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).

The total balance on the next billing date December 1 is $1,509.20.

The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).

Given,

Then, the percentage rate for November = \(\sf\frac{15.6}{100}\) × 700

\(\sf = \$109.20\)

Balance on 1st December = unpaid balance at the end of November + percentage rate

\(\sf = $1400 +$109.20\)

\(\sf =\$1509.20\)

Therefore, the total balance on the next billing date December 1 is $1,509.20.

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Answer:

x = 5

Step-by-step explanation:

5 x 5 = 25

25 - 7 = 18

Answer:

B. 130

Step-by-step explanation:

Angle AGB is congruent to angle DGE because of vertical angles.

Angle CGD and DGE form a right angle (90)

3x-28+66-x=90

2x+38=90

2x=52

x=26

Angle FGE is also 90 because of vertical angles

Angle AGF is congruent to CGD also because of vertical angles.

Angle CGD = 40

40+90=130

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

Answer:

D. {(-4,4), (-3, 3), (3, 3), (4,4)}

Step-by-step explanation:

The possible price for the items if the store sells $600 is (c) $40

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

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Answer: C

PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!

Answer:

11/15 of  the trail

Step-by-step explanation:

Step one:

given data

She ran 2/5 of the trail on Monday

Then ran a different 1/3 of the trail on Tuesday

Required

The total distance covered for Monday and Tuesday

Step two:

Total= 2/5+1/3

lcm= 15

Total= 6+5/15

Total= 11/15

Answer:

The expression = \( \frac{40}{y - 16} \)

Value of the expression = 4 (when y is 20)

Step-by-step explanation:

Quotient simply means the result you get when you divide two numbers. Thus, dividend (the numerator) ÷ divisor (the denominator) = quotient.

From the information given to us here,

the dividend = 40

the divisor = y - 16

The quotient = \( \frac{40}{y - 16} \)

There, the expression would be \( \frac{40}{y - 16} \)

Find the value of the expression when y = 20.

Plug in 20 for y in the expression and evaluate.

\( \frac{40}{y - 16} \)

\( = \frac{40}{20 - 16} \)

\( = \frac{40}{4} = 10 \)

The value of the expression, when y is 20, is 4.

Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

Answer:

Hi!

\(x=5\)

Step-by-step explanation:

\(9x-13+13=32+13\\9x=45\\\frac{9x}{9}=\frac{45}{9}\\=5\)

Answer:

the answer is 5

Step-by-step explanation:

9 x 5 -13= 32

9514 1404 393

Answer:

  460 feet

Step-by-step explanation:

The tangent relates the measures to the angle:

  tan(angle of elevation) = (Godzilla height)/(distance away)

  tan(49°) = (Godzilla height)/(400 ft)

  Godzilla height = (400 ft)(tan(49°)) ≈ 460 ft

Godzilla is 460 feet tall.

Answer:

godzilla is 393 foot tall

Step-by-step explanation:

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

Answer:

mean is 2 brothers.

mean, means average

First we will obtain the original coordinates

A = (-3, 4)

B = (-1, 4)

C = (1, 1)

D = (-5,1)

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).

The reflection of the point (x,y) across

the line y = -x is the point (-y, -x).

A' = (-4, 3)

B' = (-4, 1)

C' = (-1, -1)

D' = (-1, 5)

The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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Answer:

9.8 x 10^-7

Step-by-step explanation: