Need help will mark Brainliest

Step-by-step explanation:

Let's assume that the distance to and from work that Brody drives each day is represented by the variable "x".

Then, we can create an equation to represent the total distance Brody drives in a week, including the additional 1.5 miles to go to the gym:

2x + 1.5 = total distance driven in a day

Multiplying by 5 (the number of workdays in a week), we get:

10x + 7.5 = 71.25

Subtracting 7.5 from both sides, we get:

10x = 63.75

Dividing both sides by 10, we get:

x = 6.375

Therefore, the distance to and from work that Brody drives each day is 6.375 miles, and the total distance he drives each day (including the additional 1.5 miles to go to the gym) is 6.375 + 1.5 = 7.875 miles.

1.9 and 0.7 because you have to add 0.6 and 1.3 to get one of the numbers and you have to subtract 0.6 from 1.3 to get the other number

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

For such more question on corresponding

https://brainly.com/question/11853802

#SPJ8

Answer:

  (d)  34 square units

Step-by-step explanation:

There are several ways to determine the correct choice of answer. You can estimate the area, or make use of the fact that the vertices are on grid points. You can also figure the area by finding the lengths of the sides of the rectangle and using the area formula for a rectangle.

__

Each long side has a vertical extent of about 8 units. The left side, for example, extends from y=-4 to y=+4. Each short side has a horizontal extent of 4 units. The top extends from x=-1 to x=3, for example. The product of these lengths is an approximation of the area of the rectangle:

  8×4 = 32

This tells you the area is not any of the first three answer choices:

The fact that each side length is slightly longer than the estimated value we used means the area is more than 32. 34 square units is the best estimate.

__

When a figure is bounded by straight lines and has vertices on grid points, the area can be found exactly using Pick's theorem. It tells you the area is ...

  A = i +b/2 -1

where i is the number of interior grid points and b is the number of grid points on the boundary.

The boundary lines cross the grid at an angle, so only intercept certain grid points. The four vertices are on grid points (of course), and there is a grid point on the boundary at the midpoint of each side. That's a total of 6 boundary grid points.

One can count the interior grid points, or recognize there is a 4×4 array of them on and above the x-axis, and a similar array below the x-axis. That's a total of 32 interior grid points.

By Pick's theorem, the area of the rectangle is ...

  A = i +b/2 -1 = 32 +6/2 -1 = 34 . . . square units

Note that Pick's theorem is telling you any figure with vertices on the grid will always have an area that is a whole number of half square units. The area will never be irrational.

__

As we noted above, the horizontal extent of the top and bottom sides is 4 units. Each of those sides has a corresponding vertical extent of 1 unit. Its length is the hypotenuse of a right triangle with legs 4 and 1, so can be found using the Pythagorean theorem:

  c² = a² +b²

  c = √(a² +b²) = √(4² +1²) = √17

Looking carefully at the long sides of the rectangle, we see that each of those is double this length. Then the rectangle's area is ...

  A = bh = (√17)(2√17) = 2·17 = 34 . . . square units

Answer:

-225 ft

Step-by-step explanation:

Initial position:

Movements:

Final position is -225 ft, choice B

Answer:

2.5

Step-by-step explanation:

\( \frac{u}{11} = \frac{3}{13} \\ \\ u = \frac{3 \times 11}{13} \\ \\ \\ \\ u = \frac{33}{13} \\ \\ u = 2.53846154 \\ \\ u \approx2.5\)

Answer:

true i think

Step-by-step explanation:

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

Learn more about   Gaussian integral equation at:

https://brainly.com/question/33550421

#SPJ1

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

= 90 - 18

= 72

--> 72° is the complement angle of 18°

Hope it helps!

mark me brainliest pls.....

Follow me!

Given:

Total number of candy in a bag is 15.

Number of orange flavored candy is 2

Number of cherry flavored candy is 6

Let A be the event of picking an orange or a cherry flavored candy from the bag.

Answer:

the answer is -3 1/4

Step-by-step explanation:

The additive Inverse of 3 1/4​ will be - 3 1/4.

Suppose that the given function is \(f:X\rightarrow Y\)

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'

We are given the number as;

3 1/4​ = 13/4

Therefore, the additive Inverse of 3 1/4​ will be;

Negative 13/4 = - 3 1/4

Hence, the additive Inverse of 3 1/4​ will be - 3 1/4.

Learn more about inverse here:

https://brainly.com/question/19425567

#SPJ5

The equation (i), (ii), and (v) are the equivalent.

What is the equivalent expression?

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

We have,

2 + x = 5

x + 1 = 4

9 + x = 6

x + (-4) = 7

-5 + x = -2

If we take x =3,

the sums would be true.

for the equation (i) take x = 3,

2 + x = 5

2 + 3 = 5

LHS = RHS = 5

for equation (ii) take x = 3,

x + 1 = 4

3 + 1 = 4

LHS = RHS = 4

for equation (iii) take x = 3,

9 + x = 6

9 + 3 = 6

12 ≠ 6

LHS ≠ RHS

for the equation (iv) take x = 3,

x + (-4) = 7

3 + (-4) = 7

-1 ≠ 7

LHS ≠ RHS

for the equation (v) take x = 3,

-5 + x = -2

-5 + 3 = -2

-2 = -2

LHS = RHS = -2

Hence, if If we take x =3, the sums would be true. the equation (i), (ii), and (v) are the equivalent.

To learn more about the equivalent expression visit,

brainly.com/question/24734894

#SPJ1

The vertices of the feasible region is (4, 3)

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

x + y ≤ 7

x - 2y ≤ -2

x ≥ 0

y ≥ 0

Express as equations

So, we have

x + y = 7

x - 2y = -2

Subtract the equations

3y = 9

So, we have

y = 3

Next, we have

x + 3 = 7

This gives

x = 4

Hence, the vertex of the feasible region is (4, 3)

Read more about linear programming at

https://brainly.com/question/14309521

#SPJ1

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

learn more on function here: https://brainly.com/question/17430065

#SPJ1

Answer:

A. 60 because 70 +50 =120 and 180 - 120 is 60 so your answer is 60

Step-by-step explanation:

60

Answer: 1133.5

Step-by-step explanation:

Answer:

1133.5

Step-by-step explanation:

area = 3.14 (19)square

3.14 (361)

1133.54 ( round nearest ten)

1133.5

The column vector is discussed below.

In order to write a vector as a column vector: Work out the horizontal component ( x component). Work out the vertical component ( y component). Write the column vector.

Given:

a + b- c

So, If the number is positive, the direction is to the right.  

If the number is negative, the direction is to the left.

Also, If the number is positive, the direction is upwards.  

If the number is negative, the direction is downwards.

So, according to that 'a' will be in right ( upward) direction and 'b' also be in right ( upward) direction.

Then, 'c' is negative in left ( downward ) direction.

Learn more about column vector here:

https://brainly.com/question/14582477

#SPJ1

Step-by-step explanation:

yah language mujhe samajh mein nahin a rahi hai kya karu aapki is bataiye

The sketch of the front elevation and the side elevation of the prism are added as an attachment

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

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

Read more about prism at

brainly.com/question/23178481

#SPJ1

Answer:

Step-by-step explanation:

There are four solutions for the trigonometric equation 2 · cos x = 4 · cos x · sin² x are x₁ = π/4 ± 2π · i, x₂ = 3π/4 ± 2π · i, x₃ = 5π/4 ± 2π · i and x₄ = 7π/4 ± 2π · i, \(i \in \mathbb{N}_{O}\).

In this problem we must simplify the trigonometric equation by both algebraic and trigonometric means and clear the variable x:

2 · cos x = 4 · cos x · sin² x

2 · sin² x = 1

sin² x = 1/2

sin x = ± √2 /2

There are several solutions:

x₁ = π/4 ± 2π · i, \(i \in \mathbb{N}_{O}\)

x₂ = 3π/4 ± 2π · i, \(i \in \mathbb{N}_{O}\)

x₃ = 5π/4 ± 2π · i, \(i \in \mathbb{N}_{O}\)

x₄ = 7π/4 ± 2π · i, \(i \in \mathbb{N}_{O}\)

There are four solutions for the trigonometric equation 2 · cos x = 4 · cos x · sin² x are x₁ = π/4 ± 2π · i, x₂ = 3π/4 ± 2π · i, x₃ = 5π/4 ± 2π · i and x₄ = 7π/4 ± 2π · i, \(i \in \mathbb{N}_{O}\).

To learn more on trigonometric equations: https://brainly.com/question/27821667

#SPJ1

Answer:

S₇ = 514.75

Step-by-step explanation:

the nth term of a geometric sequence is

\(t_{n}\) = a\(r^{n-1}\)

where a is the first term and r the common ratio

given t₂ = 24 and t₅ = 81 , then

ar = 24 → (1)

a\(r^{4}\) = 81 → (2)

divide (2) by (1) to eliminate a

\(\frac{ar^{4} }{ar}\) = \(\frac{81}{24}\)

r³ = \(\frac{81}{24}\) ( take cube root of both sides )

\(\sqrt[3]{r^{3} }\) = \(\sqrt[3]{\frac{81}{24} }\)

r = 1.5

substitute r = 1.5 into (1) and solve for a

a × 1.5 = 24 ( divide both sides by 1.5 )

a = 16

the sum to n terms of a geometric sequence is

\(S_{n}\) = \(\frac{a(r^{n}-1) }{r-1}\) , then

S₇    = \(\frac{16((1.5)^{7}-1)) }{1.5-1}\)

      = \(\frac{16(17.0859375-1)}{1.5-1}\)

     = \(\frac{16(16.0859375)}{0.5}\) ( divide 16 by 0.5 )

     = 32 × 16.0859375

     = 514.75

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

Learn more about box-and-whisker plots on:

brainly.com/question/27849170

#SPJ1

Answer:

(3.6 × 10^6) - (5.2 × 10^5) = 3080000

3.08 x 10^6

Hope this helps!

The missing length is 10.2 and 10.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

1. Using Pythagoras theorem

H² = P² + B²

B² = H² - P²

B² = 17² - 13.6²

B² = 104.04

B = 10.2

2.  Using Pythagoras theorem

H² = P² + B²

B² = H² - P²

B² = 12.5² - 7.5²

B² = 100

B = 10

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ1

9514 1404 393

Answer:

  C.  4/9

Step-by-step explanation:

There are a couple of ways you can do this.

  \(\log_3{4x}-2\log_3{x}=2\\\\\log_3{4}+\log_3{x}-2\log_3{x}=2\\\\\log_3{4}-2=\log_3{x}\\\\4\cdot3^{-2}=x\qquad\text{take antilogs}\\\\\boxed{x=\dfrac{4}{9}}\\\\\textsf{or}\\\\\dfrac{4x}{x^2}=3^2\qquad\text{take antilogs}\\\\\dfrac{4}{9}=x\qquad\text{cancel $x$, multiply by $\dfrac{x}{9}$}\)

Answer: 3/2

Step-by-step explanation:

1. Slope is rise over run (difference in Y over the difference in X)

2 Look for a point where the line intersect both x and y  

        (0,0) and (2,3)

3.Starting at (0,0) count up until you reach 3. That is the rise. Now

        count over until you reach the 2. That is the run.

4. From 0 to 3 is 3 Rise

   From 0 to 2 is 2 Run

5. Slope is Rise over Run: 3/2

Answer:

---------------

Let the radius be r.

Use circumference formula and find the value of r:

Find the area using the circle area formula:

The matching choice is (B).

Answer:

Step-by-step explanation: