What is the difference?​

Answer: 16 pounds of grain.

Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.

(let me know if you would like me to explain more on this)

Answer:

the answer is

x=22..........

Answer:

x = −1/8y + 5/8

Step-by-step explanation:

Step 1: Add -y to both sides.

8x = −y + 5

Step 2: Divide both sides by 8.

8x/8 = −y+5/8

x= −1/8y + 5/8

Answer:

the anwer is b

Step-by-step explanation:

because 5 x 7/8 is actuly making the nubmer smaller and 7/8ths of 5 is 4 3/8

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Answer:

Step-by-step explanation:

Let us denote probability of   spoilage as follows

Transformer spoilage = P( T ) ; line spoilage P ( L )

Both P ( T ∩ L ) .

Given

P( T )  = .05

P ( L ) = .08

P ( T ∩ L ) = .03

a )

For independent events

P ( T ∩ L ) =  P( T ) x  P ( L )

But  .03  ≠  .05 x .08

So they are not independent of each other .

b )

i )

Probability of line spoilage given that there is transformer spoilage

P L/ T ) = P ( T ∩ L ) / P( T )

= .03 / .05

= 3 / 5 .

ii )

Probability of transformer spoilage but not line spoilage.

P( T ) - P ( T ∩ L )

.05 - .03

= .02

iii )Probability of transformer spoilage given that there is no line spoilage

[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )

=  .02 / 1 - .08

= .02  / .92

= 1 / 49.

i v )

Neither transformer spoilage nor there is no line spoilage

= 1 - P ( T ∪ L )

1 - [  P( T ) +  P ( L ) - P ( T ∩ L ]

= 1 - ( .05 + .08 - .03 )

=  0 .9

At year 0, the value of the investment is $1400.

After 1 year, we have to add 9% to the previous value, that is,

1400 + 1400*0.09 = 1400(1 + 0.09) = 1400(1.09) = 1526

After the second year, we have to add 9% to the previous value, that is,

1526 + 1526*0.09 = 1526(1 + 0.09) = 1526(1.09) = 1400(1.09)(1.09) = 1400(1.09)²

Following the same reasoning, after t years the function will be:

If t = 25, then:

The value of the investment after 25 years will be $12,072.31

Answer:

I GOT IT WRONG SORRY IMMA TRY AGAIN, what's the directions?

The base of the function given 2(4)ˣ+5 is 4ˣ

The base of an exponential function. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. Base 1. If f(x) is an exponential function whose base equals 1 – that is if f(x)=1x.

Given is a function, 2(4)ˣ+5, we need to find the base of the function,

With the multiplication of 4ˣ with 2, the rate at which f(x) changes is 2 times larger. Now it is added by 5, by adding 5 the value of f(x) is always 5 greater than the value of f(x).

This reverses the value of y for each corresponding value of x and increases the rate at which f(x) changes 8 times that of the original function.

Hence, the base of the function given 2(4)ˣ+5 is 4ˣ

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a. The object is momentarily at rest at t = 6.

b. It moves up in the interval (0, 6) and moves down in the interval (6, 12).

c. The object changes direction at t = 6.

d. It speeds up in the interval (0, 6) and slows down in the interval (6, 12).

e. The object does not have a maximum speed within the given interval, and it is moving slowest at t = 0 and t = 12.

f. The object is farthest from the axis origin at t = 6.

To solve the given problem, we start by finding the velocity and acceleration functions based on the position function provided:

Position function: \(s = f(t) = 192t - 16t^2\)

a. Velocity function: v(t) = ds/dt = f'(t)

Taking the derivative of the position function with respect to time, we have:

\(v(t) = d(192t - 16t^2)/dt = 192 - 32t\)

b. Acceleration function: \(a(t) = d^2s/dt^2 = f''(t)\)

Taking the second derivative of the position function with respect to time, we have:

a(t) = d(192 - 32t)/dt = -32

Now, let's answer the given questions:

a. The object is momentarily at rest when its velocity is equal to zero.

Setting v(t) = 0 and solving for t:

192 - 32t = 0

32t = 192

t = 6

b. The object moves up when the velocity is positive (v(t) > 0) and moves down when the velocity is negative (v(t) < 0).

Interval when the object moves up: (0, 6)

Interval when the object moves down: (6, 12)

c. The object changes direction when the velocity changes sign. In this case, it changes direction at t = 6.

d. The object speeds up when the acceleration and velocity have the same sign, and it slows down when the acceleration and velocity have opposite signs.

The object speeds up in the interval (0, 6) and slows down in the interval (6, 12).

e. The object is moving fastest when its velocity is maximum. The velocity function is v(t) = 192 - 32t, and it reaches its maximum when its derivative is equal to zero.

Setting v'(t) = 0 and solving for t:

v'(t) = -32 = 0

There is no solution for t since -32 is a constant.

The object is moving slowest when its velocity is minimum, which occurs at the endpoints of the given interval.

So, the object is moving slowest at t = 0 and t = 12.

f. To find when the object is farthest from the axis origin, we look for the maximum value of the position function.

The position function is \(s(t) = 192t - 16t^2,\) and it reaches its maximum value when its derivative is equal to zero.

Setting s'(t) = 0 and solving for t:

s'(t) = 192 - 32t = 0

32t = 192

t = 6

So, the object is farthest from the axis origin at t = 6.

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The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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The correct answer is option (e): None of these answers is correct.

The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.

The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.

Answer:

Trapezoid, rectangle, rhombus

Step-by-step explanation:

hope this helps!

The answer of the given question based on graphing and crafting is you will create a Mobius strip , and when we cut it into lengthwise  you will get a single, longer Mobius strip.

A Möbius strip is a one-sided surface with only one boundary component. It is named after the German mathematician August Ferdinand Mobius who discovered it in 1858.

A Mobius strip can be created by taking  rectangular strip of paper, giving it  half-twist, and then connecting two ends of  strip together to form  loop. The resulting loop will have interesting property of being non-orientable, which means that it only has one side.

If you take a strip of paper, put two half-twists in it, and glue the ends together, you will create a Mobius strip.

When you cut a Mobius strip length wise down the middle while hugging the right edge, you will get a single, longer Mobius strip that has two full twists instead of the original two half twists. This is because cutting down the middle of the Mobius strip results in flipping one of the twists, which combines with the original twist to create a double twist.

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After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

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The equation of the directrix of the parabola found in part A is \(x^2 = -2cy + c^2.\)

The equation of the parabola formed when a cross section is taken through the reflector's central axis is

\(y = (1/12)(x - 0)^2 + 0.\)

In this equation, the vertex is at the origin (0, 0) and the coefficient 1/12 determines the shape of the parabola.

The equation implies that the parabola opens upward because the coefficient of \(x^2\) is positive.

To find the equation of the directrix, we can use the distance formula. The directrix is a horizontal line that is equidistant from the vertex as any point on the parabola.

Since the parabola is symmetric with respect to the y-axis, the directrix will also be symmetric with respect to the y-axis.

Let's assume that the directrix is a horizontal line with the equation y = c, where c is a constant.

To find the value of c, we need to consider a point (x, y) on the parabola. The distance from the point (x, y) to the directrix y = c should be equal to the distance from the point (x, y) to the vertex (0, 0).

Using the distance formula, the distance from (x, y) to the directrix y = c is given by |y - c|, and the distance from (x, y) to the vertex (0, 0) is given by \(\sqrt{(x^2 + y^2)}\)

Setting these distances equal, we have:

\(|y - c| = \sqrt{(x^2 + y^2)}\)

Squaring both sides of the equation, we get:

\((y - c)^2 = x^2 + y^2\)

Expanding and simplifying the equation, we have:

\(y^2 - 2cy + c^2 = x^2 + y^2\)

Simplifying further, we obtain:

\(-2cy + c^2 = x^2\)

Rearranging the terms, we get:

\(x^2 = -2cy + c^2\)

This equation represents the equation of the directrix of the parabola formed by the reflector.

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the length of the rope is approximately 11.9 feet.

What is right angle triangle?

The term "right-angled triangle" refers to any triangle with an internal angle that is either a right angle or 90 degrees in value. The right triangle or the 90-degree triangle are other names for this triangle because of this. Right triangles have "opposite" and "adjacent" sides, which refer to the sides that are across from and next to respective angles, respectively. When a right triangle is formed, the hypotenuse is its longest side.

We can consider the flagpole, the ground, and the rope as forming a right triangle. The angle between the flagpole and the rope is 90 degrees, and the angle between the rope and the ground is 35 degrees. Therefore, the angle between the flagpole and the ground is 90 - 35 = 55 degrees.

Let's call the length of the rope "r". We can use the trigonometric function tangent to find r:

tan(35°) = opposite/adjacent = r/20

Multiplying both sides by 20, we get:

r = 20 tan(35°)

Using a calculator, we get:

r ≈ 11.9 feet

Therefore, the length of the rope is approximately 11.9 feet.

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Answer:

Step-by-step explanation:

8.008.009

The inverse function is given as s⁻¹ = [(t + 5) / (t – 6)]. Then the correct option is C.

The complete question is attached below.

The equivalent is the expressions that are in different forms but are equal to the same value.

A real estate company balances the books for its business on the first day of each month.

It hopes to sell houses every other day of the month.

The average number of houses, S, the company sells each day, t, is represented by the inverse of the function is given below.

\(\rm s^{-1} = \dfrac{t^2 + 4t - 5}{t^2 - 7t + 6}\)

Then the inverse function can be written as

\(\rm s^{-1} = \dfrac{t^2 +5t - t - 5}{t^2 - 6t - t + 6}\\\\\rm s^{-1} = \dfrac{(t + 5)(t - 1)}{(t - 6)(t - 1)}\\\\\rm s^{-1} = \dfrac{(t + 5)}{(t - 6)}\)

Then the correct option is C.

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Answer:

84 cookies

Step-by-step explanation:

First, find the amount she bakes per minute. It is given that Marissa bakes 30 cookies every 15 minutes, or:

30 cookies/15 minutes = 2 cookies/minute.

Marissa bakes 2 cookies per minute. Multiply 2 with 42 minutes to find the total cookies baked in 42 minutes:

42 x 2 = 84

84 cookies is your answer.

~

Answer: 84 cookies

Step-by-step explanation:

30 cookies = 15 minutes

? cookies = 1 minute

30 ÷ 15 = 2

2 cookies = 1 minute

? cookies = 42 minutes

2 x 42 = 84

84 cookies = 42 minutes

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Julio accidentally put in an extra 1/10 cup of sugar.

To calculate the number of extra cups of sugar that Julio put in, we need to find the difference between what the recipe called for (3/10 cups) and what he actually added (4/10 cups).

The difference can be calculated as follows:

Actual amount - Required amount = Extra amount

= 4/10 - 3/10

= 1/10

Therefore, Julio accidentally put in an extra 1/10 cup of sugar.

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Answer:

42 yards

Step-by-step explanation:

Given that Jennie could mkae 7 quilts out of 21 yards of material:

We could establish a proportion to find the value of x yards of material required to make 14 quilts:

21 yards/7 quilts =  x yards / 14 quilts

\(\frac{21}{7} = \frac{x}{14}\)  ⇒ Perform cross-multiplication:

7x = 21 × 14

7x =  294

Divide both sides by 7 to solve for x:

\(\frac{7x}{7} = \frac{294}{7}\)

x = 42 yards

Therefore, Jennie needs 42 yards of material in order to make 14 quilts.

Answer:

320

Step-by-step explanation:

Is the 3 to 2 part to part?  Out of every 5 people, 3 prefer pizza and 2 do not.  We can us this to set up a proportion.

3/5 = 120/x  The 3 represent the part that like pizza over the whole of 5.  The second ratio is showing the actual number of people that liked pizza over the total number of people.

What would be multiply 3 by to get 120? 40.  So, we will multiply 5 times 40 to get the total number of people.  5 x 40 = 200

Answer:

(a) The value of P (X = 1, Y = 2) is 0.1583.

(b) The value of P (X + Y = 1) is 0.1055.

Step-by-step explanation:

It is provided that:

\(X\sim Bin(n=4,p=0.25)\\\\Y\sim Bin(n=4,p=0.50)\)

The variables X and Y are independent random variables.

The probability mass function of a Binomial distribution is:

\(P(U=u)={n\choose u}(p)^{u}(1-p)^{n-u};\ u=0,1,2,3...\)

(a)

Compute the value of P (X = 1, Y = 2) as follows:

\(P(X=1,Y=2)=[{n\choose x}(p_{x})^{x}(1-p_{x})^{n-x}]\times [{n\choose y}(p_{y})^{y}(1-p_{y})^{n-y}]\); Independent

                           \(=[{4\choose 1}(0.25)^{1}(1-0.25)^{4-1}]\times [{4\choose 2}(0.50)^{2}(1-0.50)^{4-2}]\\\\=0.422\times 0.375\\\\=0.15825\\\\\approx 0.1583\)

Thus, the value of P (X = 1, Y = 2) is 0.1583.

(b)

Compute the value of P (X + Y = 1) as follows:

\(P(X+Y=1)=P(X=0,Y=1)+P(X=1,Y=0)\)

                       \(=\{[{4\choose 0}(0.25)^{0}(1-0.25)^{4-0}]\times [{4\choose 1}(0.50)^{1}(1-0.50)^{4-1}]\}\\+\{[{4\choose 1}(0.25)^{1}(1-0.25)^{4-1}]\times [{4\choose 0}(0.50)^{0}(1-0.50)^{4-0}]\}\\\\=(0.3164\times 0.25)+(0.422\times0.0625)\\\\=0.0791+0.0264\\\\=0.1055\)

Thus, the value of P (X + Y = 1) is 0.1055.

Answer:

29.71%

Step-by-step explanation:

The interest rate of the savings account is = 114.3%

The start up or principal amount (P) = $181.25

Simple interest after 7 years (SI) = $1450

Time or duration (T) = 7 years

To calculate the rate percentage of interest;

R = SI × 100/P×T

R = 1450 × 100/ 181.25 × 7

R = 145000/1268.75

R = 114.3%

Therefore, the interest rate percentage of the savings account is = 114.3%

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