Help help help help help help help help help help help help help help help help help help help help help help help help help help

Answer:

Step-by-step explanation:

Given function:

Equivalent expression is:

Correct choice is D

Answer: its 1/4 per minute i took the test

Step-by-step explanation:

Integrate by parts with

\(u = f(\phi) \implies du = f'(\phi) \, d\phi = (2\phi - 1) \, d\phi\)

\(dv = d\phi \implies v = \phi\)

to evaluate the integral in the definition of \(f\).

\(\displaystyle \int_0^1 f(\phi) \, d\phi = \phi\,f(\phi) \bigg|_0^1 - \int_0^1 \phi(2\phi-1) \, d\phi = f(1) - \frac16\)

Now if \(\phi=1\), we have

\(f(1) = 1^2 - 1 - \left(f(1) - \dfrac16\right) \implies 2f(1) = \dfrac16 \implies f(1) = \dfrac1{12}\)

and so

\(\displaystyle \frac1{12} = 1^2 - 1 - \int_0^1 f(\phi) \, d\phi \implies \int_0^1 f(\phi) \, d\phi = -\frac1{12}\)

It follows that

\(\displaystyle \int_0^2 f(\phi) \, d\phi = \int_0^2 \left(\phi^2 - \phi + \frac1{12}\right) \, d\phi \\\\ ~~~~~~~~~~~~~~~ = \left(\frac{\phi^3}3 - \frac{\phi^2}2 + \frac\phi{12}\right) \bigg|_0^2 \\\\ ~~~~~~~~~~~~~~~ = \frac{2^3}3 - \frac{2^2}2 + \frac2{12} \\\\ ~~~~~~~~~~~~~~~ = \boxed{\frac56}\)

The length of BC is 40 units

What is isosceles triangle?

An isosceles triangle is one that has two sides of equal length.

The angles opposite to equal sides are equal.

AB=x+17 units

BC=2x-6 units

We were given that the triangle is an isosceles triangle.

This means that these two sides are equal.

We therefore form the equation below and solve for the value of x.

x+17 = 2x-6

x-2x= -6-17

x=23

We substitute this value into the expression for side BC to get ,

BC=2(23)-6

BC=40 units

To learn more about the isosceles triangle from the given link

https://brainly.com/question/25812711

#SPJ1

The calculated scale factor from ABC to A'B'C is 1/3

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

The triangles

From the triangles, we have the following parameters

A = (0, 3)

A' = (0, 1)

Using the above as a guide, we have the following:

Scale factor of the dilation = A'/A

So, we have

Scale factor of the dilation = (0, 1)/(0, 3)

Evaluate

Scale factor of the dilation = 1/3

Hence, the scale factor of the dilation is 1/3

Read more about scale factor at

brainly.com/question/29229124

#SPJ1

Answer:

Below

Step-by-step explanation:

See image below

The cuboid has the following dimensions (A = 11 in, B = 4 in, C = 8 in, D = 4 in) and the following surface areas: Lateral: S = 264 in², Total: S' = 328 in².

In this problem we find a cuboid, whose lateral and total surface area must be found. The lateral surface area is the sum is the sum of the areas of all faces except bases and the total surface area is the sum of the areas of the six faces. The area formula needed for the surface area is the rectangle:

S = w · h

Where:

Sides

A = 11 in, B = 4 in, C = 8 in, D = 4 in

Lateral surface area

S = 2 · (11 in) · (4 in) + 2 · (11 in) · (8 in)

S = 88 in² + 176 in²

S = 264 in²

Total surface area

S' = 2 · (4 in) · (8 in) + 264 in²

S' = 328 in²

To learn more on surface areas of solids: https://brainly.com/question/31635099

#SPJ1

The constant of variation of the given problem is calculated as; 240 miles

A constant of variation (k) is defined as a ratio that represents the relationship between the independent variable (x) and the dependent variable (y).

Now, we are told that average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. Thus;

s ∝ 1/t

Thus;

s = k(1/t)

where k is the constant of proportionality

we are told that If the train takes 2 hours, and the average speed is 120 mph. Thus;

120 = k(1/2)

Multiply both sides by 2 to get;

240 miles = k

Read more about Constant of Variation at; https://brainly.com/question/25215474

#SPJ1

Answer:  = (-8,-4)(-6,-1)=54

Step-by-step explanation:

Answer:

7/n

Step-by-step explanation:

14/2n=7/n

Answer:

5:10

6 (-2,0)

7 (-5,6)

8 (5,3)

9 No, ab=8 CD=6

Step-by-step explanation:

The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.

To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.

Let's assume the maximum price you can offer for the home is P dollars.

According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:

\(0.17P = $14,000\)

To solve for P, divide both sides of the equation by 0.17:

P = $14,000 / 0.17

Calculating this expression, we find:

P ≈ $82,352.94

Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.

For more questions on down payment

https://brainly.com/question/1698287

#SPJ8

Answer:

6

Step-by-step explanation:

because

25 - 1 = 24

24/4 = 6 ( correct answer )

( if it was -4 the answer would be -15 )

( if it was 3 the answer would be 13 )

( if it was -2 the answer would be -7 )

Answer:

The magnitude is  \(\Delta f(0,8)  =  72\)

The  direction  is  \(i\) i.e toward the x-axis

Step-by-step explanation:

From the question we are told that

   The function is  \(f(x, y) = 9sin(xy) \ \ \\)

    The point considered is  \((0,8 )\)

Generally the maximum rate of change of f at the given point and the direction is mathematically represented as

            \(\Delta f(x,y) =  [\frac{\delta  f(x,y)}{\delta x } i + \frac{\delta  f(x,y)}{\delta y } j  ]\)

             \(\Delta f(x,y) =  [\frac{\delta  (9sin(xy))}{\delta x} i  + \frac{\delta  (9sin(xy))}{\delta y} i   ]\)

            \(\Delta f(x,y) = [9y cos (x,y) i +  9xcos (x,y) j]\)

At  \((0,8 )\)

            \(\Delta  f (0,8) =  [9(8) cos(0* 8)i  + 9(8) sin(0* 8)j  ]\)

            \(\Delta  f (0,8) = 72 i \)

Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

Julia needs to buy 42 packets of patties to make 500 hamburgers for the school function

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

Hamburger patties are sold in packets of 12. Let x represent the number of packet of patties to be bought to make 500 hamburgers. Hence:

12x = 500

x = 500/12

x = 41.67

x≅ 42

Julia needs to buy 42 packets

Find more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:16x16

Step-by-step explanation:

she uses 2/7 of a meter of ribbon to make bows for her cousins.

she has 10/21 of a meter of the ribbon left.

The amount of ribbon she started with can be calculated below

let

the amount she started with = x

Therefore,

Do you

Picture 1 has 5 green squares.  It is one square with a square coming out from each corner.

To learn more about table pattern  refer

https://brainly.com/question/23861422

#SPJ1

The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

For such more questions on probability

https://brainly.com/question/25839839

#SPJ8

The 46th term of the sequence is 324.

We have,

To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.

Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference

of 7.

To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:

a(n) = a(1) + (n - 1) d

where a(1) is the first term, d is the common difference, and n is the term number we want to find.

Using the given information, we have:

a(1) = 9

d = 7

n = 46

Plugging these values into the formula, we get:

a (46) = 9 + (46 - 1)7

a (46) = 9 + 45 (7)

a(46) = 9 + 315

a(46) = 324

Therefore,

The 46th term of the sequence is 324.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ1

Answer:

-7+(m/n)

Step-by-step explanation:

The required algebraic expression is (m-7n)/n.

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operation.

Now the given statement is,

the sum of -7 and the quotient of m and n

So, we have,

the quotient of m and n

This can be written as,

m/n

So, the sum of -7 and the quotient of m and n

-7 + m/n

Solving them we get,

(-7n + m)/n

rearranging them,

(m -7n)/n

which is the required algebraic expression.

Thus,The required algebraic expression is (m-7n)/n.

To learn more about algebraic expression:

https://brainly.com/question/24513204

#SPJ2

Answer:

3 x \(4^{3}\) x \(7^{2}\)

Step-by-step explanation:

1. Solution of the rational equation \(\frac{x}{3} -6=\frac{9}{3}\)   is x = 27

How is the equation solved?

\(\frac{x}{3} -6=\frac{9}{3}\\\\\frac{x- 18}{3} =\frac{9}{3}\\\\x= 18+9\\\\x= 27\)

2.The two numbers = 2, 6

How to find the two numbers?

Let the two whole numbers = x, y

Given:

x+ y =8 --- (1)

1/x+1/y = 2/3 ---(2)

Considering (2),

\(\frac{1}{x} +\frac{1}{y} =\frac{2}{3}\\\\\frac{x+ y}{x y} =\frac{2}{3}\\\\\text{Applying } (1),\\\\\frac{8}{x(8-x)} =\frac{2}{3}\\\\(8x-x^{2} )2 =24\\\\(8x-x^{2} ) =12\\\\x^{2} -8x+12 =0\\\\(x-6) (x-2)= 0\\\\x= 2, 6\)

Substituting  x in (1)

We have,

When x = 2 ; y= 6

When x = 6 ; y = 2

So, the two numbers = 2, 6

3. The two numbers = 3, 9

How to find the two numbers?

Let the two whole numbers = x, y

Given:

x- y =6 --- (1)

1/y -1/x = 2/9 ---(2)

Considering (2),

\(\frac{x-y}{xy} =\frac{2}{9} \\\\\text{Applying } (1)\\\\\frac{6}{x y} =\frac{2}{9} \\\\x y = 27\\\\(6+y)y = 27\\\\y^{2} +6y-27=0\\\\(y+9) (y-3) = 0\\\\y= 3, -9\)

Since x and y are whole numbers we will have y = 3

When y = 3 ; x=9 (substituting in (1))

So, the two numbers = 9,3

To learn more about solving equations, refer:

https://brainly.com/question/25678139

#SPJ13

Answer:

Each section has length of 1.5 miles.

Step-by-step explanation:

The combined length of the highway is 3/4 of a mile

Priya’s class has adopted two equal sections of a highway to keep clean.

We need to find the length of each section.

As there are 2 equal sections, to find the length of each section divide the combined length of a length by 2.

\(l=\dfrac{3}{\frac{4}{2}}\\\\=1.5\)

Hence, each section has length of 1.5 miles.

Answer:

1.5

is the answer

Step-by-step explanation:

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation: