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mFill in the y values of the t-table for the function y=3Vx

Answer:

She has been there for 8 months

Step-by-step explanation:

Add 40 and keep adding $25

until you get to $240 and then count how many times you added 25 and you should get the answer

Alexus's average speed from Alphatown to Brightside is 54 mph, and her average speed from Brightside to Charlietown is 84 mph.

What does "average speed" mean?

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

Since her average speed is calculated as the total distance traveled divided by the total time spent traveling, we can write the following two equations:

s1 = 33 / t1

s2 = 240 / t2

where "t1" and "t2" are the time in hours that Alexus spends traveling from Alphatown to Brightside and from Brightside to Charlietown, respectively.

Since Alexus drives 30 miles per hour faster from Brightside to Charlietown than from Alphatown to Brightside, we know that:

s2 = s1 + 30

Now we have two equations and two unknowns, which we can use to solve for "s1" and "t1". We can start by substituting the second equation into the first one:

s1 = 33 / t1

s1 + 30 = 240 / t2

We can then solve for t2:

t2 = 240 / (s1 + 30)

Finally, we know that the combined travel time is 5.1 hours, so we can write:

t1 + t2 = 5.1

We can substitute the expression for t2 into this equation:

t1 + 240 / (s1 + 30) = 5.1

Now we have a single equation with a single unknown, s1. We can solve for s1 by multiplying both sides by (s1 + 30) and then rearranging:

t1(s1 + 30) + 240 = 5.1(s1 + 30)

t1(s1 + 30) = 5.1(s1 + 30) - 240

t1 = (5.1(s1 + 30) - 240) / (s1 + 30)

Since t1 is in hours, and s1 is in miles per hour, we can plug in numerical values:

t1 = (5.1(s1 + 30) - 240) / (s1 + 30) = (5.1(s1 + 30) - 240) / (s1 + 30) = (153.3 - 240) / (s1 + 30) = -86.7 / (s1 + 30)

Now we can use an iterative numerical method to find s1. For example, using a spreadsheet or a programming language, we can start with an initial guess for s1, such as 40 mph, and then iterate until the value of t1 is close to zero. After several iterations, we find that s1 = 54 mph and t1 = 0.07 hours.

This means that Alexus's average speed from Alphatown to Brightside is 54 mph, and her average speed from Brightside to Charlietown is 84 mph.

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Answer: 39 ft2

Step-by-step explanation:

The area of the trapezoid is 39 square feet.

To find the area of a trapezoid, you can use the formula:

Area = (1/2) × (base1 + base2) × height

Given that the bases of the trapezoid are 16 feet and 10 feet, and the height is 3 feet, we can substitute these values into the formula:

Area = (1/2) × (16 + 10) × 3

Area = (1/2) × 26 × 3

Area = (1/2) × 78

Area = 39 ft^2

Therefore, the area of the trapezoid is 39 square feet.

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The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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For a line with a slope a and a known point (h, k), the point-slope form is:

y = a*(x - h) + k

A general linear equation can be written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through a point (h, k), then the point-slope form of that line is:

y = a*(x - h) + k

Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:

y = a*(x - 0) + b

y = a*x + b

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Volume of given two cylinders are 115.52π m³ and 350π in³

What is the formula for the volume of a cylinder?

\(V = π {r}^{2} h\)

where r is the radius of the cylinder, h is the height of the cylinder, and π is a constant approximately equal to 3.14.

4) Given, radius =3.8 m and height = 8 m

Substituting the given values into the formula, we get:

\(V = π × (3.8)^2 × 8 \\ V = 115.52\pi \: cubic \: meters\)

Therefore, the volume of the cylinder is approximately 361.984 cubic meters.

5) Given, radius = 5 in and height = 14 in

Substituting the given values:

\(V = π(5²)(14) \\ V = π(25)(14) \\ V = 350π\)

Therefore, the volume of the cylinder is 350π cubic in (or approximately 1099.56 cubic meters if you want to use a numerical approximation for π).

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step-by-step explanation:

since it tells you the equation 'y = 20x' and y is the number of gallons where as x is minutes

the independent variable = number of gallons

the dependent variable  = minutes

and the number(s) to fill in the table

x ,  y

( 0, 0 )

( 1, 20 )

( 2, 40 )

( 3, 60 )

( 4, 80 )

and the relationship between x and y is linear because you can clearly see the graph having especially a straight line that is not interfering with itself

hope this helps you! :)

Answer:

C. 4/5

Step-by-step explanation: If you have a fraction with the numerator being less than the denominator then multiplying by 7 you will get a number that is less than 7

Answer:

38

Step-by-step explanation:

perimeter = 2(l+b)

Where l is the length of the rectangle

b is the breadth of the rectangle

P = 2(15+4)

P = 2 × 19

P = 38

Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.

The number expression is:

= (70 + 12.8 + 30) + 6.1

As we know from the commutative property

a +  b = b + a

Applying commutative property in the number expression:

= (70 + 30+ 12.8) + 6.1

She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.

Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

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The test statistic and the p-value of the research are respectively z = 1.9072 and p-value = 0.0283 and the conclusion is that; D) There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is is more than 0.3.

Let us first of all define the hypotheses;

Null Hypothesis; H₀: p ≤ 0.3

Alternative Hypothesis; Hₐ: p > 0.3

Sample proportion is;

p^ = 29/72 = 0.403

The formula for the test statistic is;

z = (p^ - p)/(√(p(1 - p)/n))

Plugging in the relevant values gives;

z = (0.403 - 0.3)/(√(0.3(1 - 0.3)/72))

z = 1.9072

From p-value from z-score calculator, we have that;

p-value = 0.0283

p-value is greater than the significance value and as such we fail to reject the null hypothesis and conclude that There is not sufficient sample evidence to support the claim that the proportion of stocks that went up

is is more than 0.3.

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Answer:

d all real number since a real number is any number that does not go infinitly like pi or the square root of some numbers

Hope This Helps!!!

Answer:

12% of 36 is 4.32

The Fibonacci sequence is the sequence in which the numbers are written such that each succeeding number is sum of two preceding numbers.

The Fibonacci sequence is defined recursively as follows:

F0 = 0

F1 = 1

For n > 1, Fn = Fn-1 + Fn-2

(b) The sequence of partial sums is:

S0 = 0

S1 = 0 + 1 = 1

S2 = 0 + 1 + 1 = 2

S3 = 0 + 1 + 1 + 2 = 4

S4 = 0 + 1 + 1 + 2 + 3 = 7

S5 = 0 + 1 + 1 + 2 + 3 + 5 = 12

(c) A closed formula for the sequence of partial sums in terms of Fn is not possible, since the sequence of partial sums depends on the values of all previous terms in the Fibonacci sequence. However, it is possible to express the nth term of the sequence of partial sums, Sn, in terms of the nth term of the Fibonacci sequence, Fn, using the following formula:

Sn = F0 + F1 + ... + Fn = (F0 + F1) + (F1 + F2) + ... + (Fn-1 + Fn) = F1 + F2 + ... + Fn + F0 + F1 + ... + Fn-1 = 2Sn-1 - Fn + F0

This formula can be derived by considering the previous term in the sequence of partial sums and adding the current term of the Fibonacci sequence to it.

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Answer:

x=

2

f

2

−8f+4

​

​

−

2

f

​

+1

x=−

2

f

2

−8f+4

​

​

−

2

f

​

+1, (f



=0 and f≤4−2

3

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) or f≥2

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+4

Step-by-step explanation:

im srry if this is wrong

Answer:

a. 31/6; 33/6; 35/6

b. + 2/6

c. 37/6; 39/6; 41/6

d. 49/6

Step-by-step explanation:

First we need to find the first three terms.

To do so solve the equations in the boxes.

When dividing by a fraction you multiply by the reciprocal so the equations are now as follows:

2 * 31/12

3 * 11/6

5 * 7/6

Solve these to get

62/12 = 31/6

33/6

35/6

The term to term rule as shown above is adding 2/6 or 1/3.

To find the next three terms in the sequence add 2/6 to the term.

35/6 + 2/6 = 37/6

37/6 + 2/6 = 39/6

39/6 + 2/6 = 41/6.

To find the 10th term you need to write out the arithmetic sequence equation.

an = a1 + (n-1)d

an is the term you want to find and n is the term number in this case that is 10. D is the common difference which in this case is 2/6. Plug these into the equation. A1 is the first term in the equation which in this case is 31/6.

31/6 + (10-1) 2/6

31/6 + (9)2/6

31/6 + 18/6 = 49/6

The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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(A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).

What is the explicit formula?

The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence. In general, the explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.

A. The data provided is modeling a geometric sequence.

This is because the common ratio between consecutive terms is a constant value, specifically in this case is the ratio between consecutive terms is multiplied by 2.

B. To find the time Aurora will complete station 5 using a recursive formula,

we can use the formula T(n) = T(n-1) * r,

where T(n) is the time at the nth station, T(n-1) is the time at the (n-1)th station, and r is the common ratio.

In this case T(5) = T(4) * 2

and T(4) = 24 (from the data provided)

Therefore, T(5) = 24 * 2 = 48 minutes

C. To find the time Aurora will complete the 9th station using an explicit formula,

we can use the formula T(n) = T(1) * r^(n-1)

In this case, T(9) = T(1) * 2^(9-1)

and T(1) = 3 (from the data provided)

Therefore, T(9) = 3 * 2^8 = 3 * 256 = 768 minutes

The explicit formula assumes that the first term of the sequence is T(1) and the common ratio of the consecutive term is r.

Hence, (A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).

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After 24 years, the amount will be $40,000

What is annual interest rate?

An annual percentage rate is expressed as an interest rate. It calculates what percentage of the principal you'll pay each year by taking things such as monthly payments into account.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Formula:

a(t) = p*2^(t/8)

given, t=24 , p =5000

a(24) = 5000*2^(24/8)

a(24) = 5000*2^3

a(24) = 5000*8

a(24) = $40,000

Thus, after 24 years, the amount will be $40,000

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When Abby's walk to Trout Street is 800 yards.

Distance is referred to as the length of a moving particle's real path. The shortest distance between a body's initial and final positions is referred to as displacement.

The distance between the segment and bottom right vertex is 800 yards.

The 1st street, Trout Street, and Salmon Street intersect at a point G.

Now, Trout street and Salmon street are at the same distance from the boardwalk.

From the figure, the distance between the boardwalk and salmon street is 800 yards.

Now the 1st street is perpendicular to line AE which is the distance between Trout street and Salmon street and hence AC = CE.

Therefore, When Abby's walk to Trout Street from the boardwalk is 800 yards.

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Answer:

It is the distance that –5 is from 5 on the number line.

Step-by-step explanation:

It is the distance that –5 is from 5 on the number line.

Answer:

5 to 5 on the number line!

Step-by-step explanation:

Have a jolly weekend!^_^

Answer:

Use Mathpapa to find your answer.

Step-by-step explanation:

It's a good, and powerful program.

Answer:

a) 2 nonsingular 2 by 2  matrices are not closed when added together hence it is not a vector space( i.e. their sum = singular and not nonsingular )

b) 2 singular 2 by 2 matrices is not  closed under addition, hence they are not a vector space. ( i.e. their sum = nonsingular )

Step-by-step explanation:

a) Prove that nonsingular 2 by 2 matrices is not a vector space

2 nonsingular matrices are not closed when added together hence it is not a vector space ( i.e. their sum = singular and not nonsingular )

vector A = \(\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]\)    +  vector B =  \(\left[\begin{array}{ccc}0&1\\1&0\\\end{array}\right]\) = \(\left[\begin{array}{ccc}1&1\\1&1\\\end{array}\right]\) ( singular vector )

b) Prove that singular 2 by 2 matrices is not a vector space

2 singular 2 by 2 matrices is not  closed under addition, hence they are not a vector space. ( i.e. their sum = nonsingular )

Vector C = \(\left[\begin{array}{ccc}1&0\\0&0\\\end{array}\right]\)  + vector D = \(\left[\begin{array}{ccc}0&0\\0&1\\\end{array}\right]\) = \(\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]\) ( nonsingular vector )

Answer:

$2.72

Step-by-step explanation:

2.74x0.89=2.4475

0.8x0.34=0.272

2.447+0.272=2.719, rounded is 2.72