Can someone please explain this problem step by step? Thank you sooooooooooooo much!

Answer

workbook =x

1/4   3/5

x    5/5 (1 hour)

then x=(5/5 * 1/4):3/5

x= 5/20 * 5/3  

x=1/4 *5/3

x= 5/12

The value of [p] at equilibrium is equivalent to 43.12.

At equilibrium, the demand is equal to supply. Mathematically, we can write -

D{x} = S(x)

Given is are the demand and supply equations.

We have the demand and supply equations as -

D{p} = (-5/8)p + 35

S{p} = (6/5)p - 44

Now, at equilibrium, we can write -

D{p} = S{p}

(-5/8)p + 35 = (6/5)p - 44

(6/5)p + (5/8)p = 35 + 44

p{(48 + 25)/40} = 79

p(73/40) = 79

p = (79 x 40)/73

p = 43.12

Therefore, the value of [p] at equilibrium is equivalent to 43.12.

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Final answer:

To calculate the original loan amount for Scott, who paid $750 in interest at a 3% rate, we use the formula for simple interest and determine that the original loan amount was $25,000.

Explanation:

If Scott pays $750 in interest at a rate of 3%, to find out the original amount of the loan, we can use the formula I = PRT, where I stands for interest, P is the principal amount (the original loan amount), R is the rate of interest, and T is the time in years. Since Scott already knows the interest and the rate, we can rearrange this formula to solve for P:  P = I / (RT).

In this case, we assume the time T to be 1 year, since no specific time was given. The calculation would be:

P = $750 / (0.03 * 1)

P = $750 / 0.03

P = $25,000

So, the original loan amount Scott must have taken out is $25,000.

Answer:

There's a lot of them.

There are many different ways to calculate [tex]\pi[/tex]. The ones used by computers to generate tons of digits are usually infinite series.

The series that has been prominent in recent records for the most digits of pi is the Chudnovsky algorithm.

The algorithm is this:

[tex]\frac{1}{\pi}=12\sum_{k=0}^{\infty}\frac{\left(6k\right)!\left(545140134k+13591409\right)}{\left(3k\right)!\left(k!\right)^3\left(640320\right)^{3k+\frac{3}{2}}}[/tex]

For faster performance, it can be simplified to this:

[tex]\frac{426880\sqrt{10005}}{\pi}=12\sum_{k=0}^{\infty}\frac{\left(6k\right)!\left(545140134k+13591409\right)}{\left(3k\right)!\left(k!\right)^3\left(-262537412640768000\right)^k}[/tex]

Other algorithms have been used, but right now this is the one that is being used to set the recent records.

There are also some approximations that are used because they are very easy to calculate.

first, [tex]\frac{22}{7}[/tex] can be used to calculate a fairly accurate pi, but a better rational approximation is [tex]\frac{355}{113}[/tex] This fraction is actually accurate to 6 digits and it is the best approximation of [tex]\pi[/tex] in simplest form and with a denominator below 30,000.

There are several other approximations and if you want to learn more I would recommend looking at the Wikipedia page which has tons of algorithms for pi.

Answer:

36

Step-by-step explanation:

The 5 part of the ratio represents 60 girls.

Divide 60 by 5 to find the value of one part of the ratio

60 ÷ 5 = 12 ← value of 1 part of the ratio

The 3 part of the ratio represents the number of boys, hence

3 × 12 = 36 ← number of boys

To find out how many apple pieces are in the bowl when 1/4 of 12 fruit pieces are apples, divide 12 by 4, which equals 3. So, there would be 3 apples in the bowl.

Understanding fractions is an important part of mathematics. In this scenario, we have a total of 12 pieces of fruit in a bowl and we want to find out how many of those are apple pieces if 1/4 of the fruit pieces are apples.

Since there's a total of 12 pieces, we divide this number into 4 equal parts (fractions strips) to determine what one quarter (1/4) of the bowl would contain.

To visualize this, you can draw a rectangle and divide it into 4 equal horizontal sections (fractions strips), because 1/4 means one part out of four equal parts. When you divide 12 by 4, you get 3. So, each section of your fraction strip would represent 3 pieces of fruit. This means that if 1/4 of the pieces are apples, there are 3 apples in the bowl.

Answer:

I believe it is C

Hope This Helps!     Have A Nice Day!!

Answer:

its

B.The graph of W(x) is 7 units to the right of the graph of f(x)

Answer:

24 pieces

Step-by-step explanation:

Divide:

 6 sandwiches

---------------------------- = 24 pieces

1/4 sandwich/piece

I took the test, (for this particular graph) it was -1.5.

Answer:

The correct option is 1.

Step-by-step explanation:

The formula for residual value is

[tex]\text{Residual Value = Observed Value - Estimated value}[/tex]

In the given graph points represents the observed value and the line represents the expected or estimated value.

From the given graph it is clear that the observed value at x=5 is 5.5 and the estimated value at x=5 is 7.

[tex]\text{Residual Value}=5.5-7[/tex]

[tex]\text{Residual Value}=-1.5[/tex]

The residual value is -1.5, therefore the correct option is 1.

Answer:

Option C: 90+90 Sq. Root of 2

Step-by-step explanation:

First we find the distance from second base to home plate.  This is the diagonal of the square, which splits it into two right triangles.

Each right triangle will have legs of 90 feet.  We use the  Pythagorean theorem to find the length of the diagonal (the hypotenuse of the right triangle):

a² + b² = c²

90² + 90² = c²

8100 + 8100 = c²

16200 = c²

Take the square root of each side:

√(16200) = √(c²)

Simplifying √16200, we find the prime factorization:

16200 = 162(100)

162 = 2(81)

81 = 9(9) [Since this is a perfect square, we can stop; we know we take this out of the radical.]

100 = 10(10) [Since this is a perfect square, we can stop; we know we take this out of the radical.]

√16200 = √(9²×10²×2) = 9×10√2 = 90√2

This means the distance from 1st to 2nd and then from 2nd to home would be

90 + 90√2

Answer:

B. 13.26

Step-by-step explanation:

To go from the Degree-Minute-Second (DMS) system to a numeric one, we simply use this formula:

numeric = d + (min/60) + (sec/3600)

Where you take the degree number as is (13 in our case), then you divide the number of minutes by 60 (15 in our case) and the number of seconds by 3600 (36 in our case) and you add everything together.

So, if we plug in our numbers, we have

numeric = 13 + (15/60) + (36/3600)

numeric = 13 + 0.25 + 0.01

numeric = 13.26

Answer:

the answer is A

Step-by-step explanation:

the formula is 2π rh +2πr^2

you put the values in

2π (6*15) +2π(6)^2

then you solve

180π+ 72π= 252π

For this case we have that by definition, the surface area of a cylinder is given by:

[tex]SA = 2 \pi * r * h + 2 \pi * r ^ 2[/tex]

Where:

A: It's the radio

h: It is the height of the cylinder

We have to:

[tex]r = 6 \ units\\h = 15 \ units[/tex]

Substituting:

[tex]SA = 2 \pi * 6 * 15 + 2 \pi * (6) ^ 2\\SA = 2 \pi * 6 * 15 + 2 \pi * (6) ^ 2\\SA = 180 \pi + 72 \pi\\SA = 252 \pi \ units ^ 2[/tex]

Answer:

Option A

Answer:

Step-by-step explanation:

1 heads

1 tails

2 heads

2 tails.

That's all you can write given the constraint.

Beep bop I’m a beginner and need this

Hshaks jdlsmavsusksns those were so that you would reach the answer minimum of 20 characters

Answer:

c

Step-by-step explanation:

Answer:

144°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° × (n - 2) ← n is the number of sides

Here n = 8 ( octagon ), hence

sum = 180° × 6 = 1080°

let the measure of 1 congruent angle be x

Then sum the 8 angles and equate to 1080

100 + 120 + 140 + 5x = 1080

360 + 5x = 1080 ( subtract 360 from both sides )

5x = 720 ( divide both sides by 5 )

x = 144

Thus each of the 5 congruent angles is 144°

Answer:

  11 m by 18 m

Step-by-step explanation:

The area is the product of two adjacent sides of a rectangle. The perimeter is twice the sum of two adjacent sides, so that sum is (58 m)/2 = 29 m.

We want to find two factors of 198 that sum to 29.

  198 = 1·198 = 2·99 = 3·66 = 6·33 = 9·22 = 11·18

Of these factor pairs, only the last one has a sum of 29.

The dimensions of the pool are 11 meter by 18 meters.

Answer:

Step-by-step explanation:

The information given in the problem statement lets you write two equations relating box weights (L for the large box weight; S for the small box weight).

  2L +3S = 78 . . . . . . weight of the first collection of boxes

  6L +5S = 180 . . . . . weight of the second collection of boxes

We can subtract 3S from the first equation and multiply it by 3 and we have ...

  2L = 78 -3S . . . . . . subtract 3S [eq3]

  6L = 234 -9S . . . . . multiply by 3

Now we have an expression for 6L that can substitute into the second equation:

  (234 -9S) +5S = 180

  234 -4S = 180 . . . . . . . . simplify

  54 -4S = 0 . . . . . . . . . . . subtract 180

  13.5 -S = 0 . . . . . . . . . . . divide by 4

  13.5 = S . . . . . . . . . . . . . add S

From [eq3] above, we can now find L.

  2L = 78 -3(13.5) = 37.5

  L = 37.5/2 = 18.75

The weight of the large box is 18.75 kg; the small box is 13.5 kg.

_____

A graphing calculator can provide an alternate means o finding the solution.

For this case we have by definition that the volume of the pyramid is given by:

[tex]V = \frac {A_ {b} * h} {3}[/tex]

Where:

[tex]A_ {b}:[/tex] It is the area of the base

h: It's the height

We have, according to the figure shown:

[tex]A_ {b} = 8 ^ 2 = 64 \ units ^ 2\\h = 6 \ units[/tex]

Then, replacing:

[tex]V = \frac {64 * 6} {3}\\V = \frac {384} {3}\\V = 128 \ units ^ 3[/tex]

Answer:

Option D

Answer:

The correct answer is option D.  128 units²

Step-by-step explanation:

Formula:-

Volume of pyramid = (a²h)/3

Where a -  side of base

h - height of pyramid

To find the volume of pyramid

Here base side = 8 units and h = 6 units

Volume = (a²h)/3

 = (8² * 6)/3 = 8100/3 = 2700  units²

Therefore the correct answer is option D.  128 units²

Answer:

I believe it would be 42.25?  or 42 and 1/4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given a function of a parabola (quadratic) in the form f(x) = x^2, we have a translated function as:

g(x) = a(x-b)^2

Where

The function given is p(x) = 3(x-8)^2

So it means that it is a vertical stretch with a factor 3 and the graph is shifted horizontally 8 units right

the correct answer is B

Answer:

37.8

Step-by-step explanation:

Length = radius * Θ

L=7*5.4

L=37.8

If wrong don't report, just notify me so I can edit.

Have a great day!

The length, to 1 decimal place, of the arc that subtends an angle of 5.4 radians at the center of a circle with a radius of 7 cm is 37.8 cm.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

The arc subtends an angle of 5.4 radians at the center of a circle with a radius of 7 cm.

As we know, the relationship between radius of the circle, central angle, and arc length is:

s = rθ

r = 7 cm

θ = 5.4 radians.

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

s = 7×5.4

s = 37.8 cm

Thus, the length, to 1 decimal place, of the arc that subtends an angle of 5.4 radians at the center of a circle with a radius of 7 cm is 37.8 cm.

Learn more about circle here:

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Answer:

Any number between 36-49

Step-by-step explanation:

The number has to be higher then 35. It has to be less then 50 because any number 50 or above would be more then/equal to 35

Answer: x < 50

Explination:

The given equation is x - 15 < 35.

To solve you add 15 to both sides:

x - 15 + 15 < 35 + 15

And you are left with a simplified answer of x < 50.

Answer:

[tex]f(x)=\dfrac{2x-1}{x+2}\\ \\f^{-1}(x)=\dfrac{-2x-1}{x-2}[/tex]

[tex]f(x)=\dfrac{x-1}{2x+1}\\ \\f^{-1}(x)=\dfrac{-x-1}{2x-1}[/tex]

[tex]f(x)=\dfrac{x+2}{-2x+1}\\ \\f^{-1}(x)=\dfrac{2-x}{-2x-1}=\dfrac{x-2}{2x+1}[/tex]

[tex]f(x)=\dfrac{2x+1}{2x-1}\\ \\y=f^{-1}(x)=\dfrac{1+x}{2(x-1)}[/tex]

[tex]f(x)=\dfrac{x+2}{x-1}\\ \\f^{-1}(x)=\dfrac{x+2}{x-1}[/tex] - extra

Step-by-step explanation:

1.

[tex]f(x)=y=\dfrac{2x-1}{x+2}\\ \\y(x+2)=2x-1\\ \\yx+2y=2x-1\\ \\yx-2x=-1-2y\\ \\x(y-2)=-1-2y\\ \\x=\dfrac{-1-2y}{y-2}\\ \\y=f^{-1}(x)=\dfrac{-2x-1}{x-2}[/tex]

2.

[tex]f(x)=y=\dfrac{x-1}{2x+1}\\ \\y(2x+1)=x-1\\ \\2xy+y=x-1\\ \\2xy-x=-1-y\\ \\x(2y-1)=-1-y\\ \\x=\dfrac{-1-y}{2y-1}\\ \\y=f^{-1}(x)=\dfrac{-x-1}{2x-1}[/tex]

3.

[tex]f(x)=y=\dfrac{x+2}{-2x+1}\\ \\y(-2x+1)=x+2\\ \\-2xy+y=x+2\\ \\-2xy-x=2-y\\ \\x(-2y-1)=2-y\\ \\x=\dfrac{2-y}{-2y-1}\\ \\y=f^{-1}(x)=\dfrac{2-x}{-2x-1}=\dfrac{x-2}{2x+1}[/tex]

4.

[tex]f(x)=y=\dfrac{2x+1}{2x-1}\\ \\y(2x-1)=2x+1\\ \\2xy-y=2x+1\\ \\2xy-2x=1+y\\ \\x(2y-2)=1+y\\ \\x=\dfrac{1+y}{2y-2}\\ \\y=f^{-1}(x)=\dfrac{1+x}{2(x-1)}[/tex]

5.

[tex]f(x)=y=\dfrac{x+2}{x-1}\\ \\y(x-1)=x+2\\ \\xy-y=x+2\\ \\xy-x=2+y\\ \\x(y-1)=2+y\\ \\x=\dfrac{2+y}{y-1}\\ \\y=f^{-1}(x)=\dfrac{x+2}{x-1}[/tex]

Answer:

the graph of y=4 x+3 is a straight line that passes through the point (0,3) and (\frac{-3}{4},0)

Step-by-step explanation:

The graph of the exponential function y = 4ˣ + 3 is attached below.

An exponential function is in the form:

y = abˣ

Where y, x are variables, a is the initial value of y and b is the multiplication factor.

Given an exponential function of y = 4ˣ + 3

The graph of the exponential function y = 4ˣ + 3 is attached below.

Find out more on Exponential function at: https://brainly.com/question/12940982

Answer:

240

Step-by-step explanation:

Volume of the cylinder

= π(4)²(10)

= 160π in³

Volume of the cone

= 1/3 π(1)²(2)

= 2/3 π in³

Number of cones

= 160π ÷ 2/3 π

= 240

By calculating the volumes of both the original cylinder and one of the cones, we can determine that 80 solid right circular cones can be formed from the melted cylinder.

The question involves calculating the number of solid right circular cones that can be formed from melting and recasting a solid metal cylinder with given dimensions. First, we need to calculate the volume of the original cylinder and then the volume of one of the right circular cones, followed by dividing the volume of the cylinder by the volume of a cone to determine how many cones can be formed.

Step 1: Calculate the Volume of the Cylinder

The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height (altitude). For the cylinder with a 4-inch radius and 10-inch altitude, the volume is V = π(4²)(10) = 160π cubic inches.

Step 2: Calculate the Volume of a Cone

The formula for the volume of a cone is V = ⅓πr²h, where r is the radius and h is the height. For a cone with a 1-inch radius and 2-inch altitude, the volume is V = ⅓π(1²)(2) = ⅓π cubic inches.

Step 3: Determine the Number of Cones Formed

To find the number of cones that can be formed, divide the volume of the cylinder by the volume of a cone: Number of cones = (160π) / (⅓π) = 80. Therefore, 80 solid right circular cones can be formed from the melted cylinder.

Answer:

Option C (x < -5/4)

Step-by-step explanation:

((2 - 5x)/(-3)) + 4 < -x.

Take LCM on LHS:

(2 - 5x - 12)/(-3) < -x.

Multiplying -3 on both sides (this will also flip the inequality):

-5x - 10 > 3x.

Adding 10 on both sides and subtracting -3x on both sides:

-8x > 10.

Dividing -8 on both sides (this will also flip the inequality):

x < -5/4.

Therefore, Option C is the correct answer!!!

Answer:

[tex]37.76\ g[/tex]

Step-by-step explanation:

we know that

The density is equal to divide the mass by the volume

[tex]D=m/V[/tex]

Solve for the mass

[tex]m=D*V[/tex]

Find the volume of the cube

The volume of the cube is equal to

[tex]V=b^{3}[/tex]

we have

[tex]b=4\ cm[/tex]

substitute

[tex]V=4^{3}[/tex]

[tex]V=64\ cm^{3}[/tex]

Find the mass

[tex]m=0.59*64=37.76\ g[/tex]

Start with

[tex]\vec v=x\,\vec\imath+y\,\vec\jmath[/tex]

as a template for the vector [tex]\vec v[/tex]. Its magnitude is 4, so

[tex]\|\vec v\|=\sqrt{x^2+y^2}=4[/tex]

Its component in the [tex]\vec\imath[/tex] direction is twice the component in the [tex]\vec\jmath[/tex] direction, which means

[tex]x=2y[/tex]

So we have

[tex]\sqrt{(2y)^2+y^2}=\sqrt{5y^2}=4\implies y^2=\dfrac{16}5\implies y=\pm\dfrac4{\sqrt5}[/tex]

and

[tex]x=\pm\dfrac8{\sqrt5}[/tex]

Lastly, rationalize the denominator:

[tex]\dfrac1{\sqrt5}\cdot\dfrac{\sqrt5}{\sqrt5}=\dfrac{\sqrt5}5[/tex]

So we end up with two possible answers,

[tex]\vec v=\pm\left(\dfrac{8\sqrt5}5\,\vec\imath+\dfrac{4\sqrt5}5\,\vec\jmath\right)[/tex]

Final answer:

The vector v with a magnitude of 4 and i-component being twice the j-component can be found by solving for y in the equation of magnitude based on the given conditions and then determining the i and j components accordingly. The result is the vector v = (8√5 i + 4√5 j) / 5.

Explanation:

To find a vector v whose magnitude is 4, and whose i-component is twice its j-component, we can let the i-component be 2y and the j-component be y. Using the Pythagorean theorem for two-dimensional vectors, we can write the equation for magnitude as v = √((2y)^2 + y^2). Given that the magnitude is 4, the equation becomes:

4 = √(4y^2 + y^2)

4 = √(5y^2)

16 = 5y^2

y^2 = ⅔

y = √(⅔)

y = √(⅔)

y = √(⅔)

y = √(⅔)

y = √(⅔)

y = √(⅔)

(2.0 s) gives us the direction in unit vector notation. The magnitude of the acceleration is à(2.0 s)| = √√5.0² + 4.0² + (24.0)² = 24.8 m/s².

Using the value of y we calculated, the components of vector v are:

i-component = 2y = 2(⅔) = 8√5 / 5

j-component = y = ⅔ = 4√5 / 5

So the vector v can be expressed as v = (8√5 i + 4√5 j) / 5.

Answer:

6:45

Step-by-step explain if she has to leave 45 minutes before you take away 45 from 7:30 giving you the time she would have to leave

Answer:

Option C. x = 12

Step-by-step explanation:

we have that

Traingles MOP and MNQ are similar

therefore

The ratio of its corresponding sides is proportional

[tex]\frac{MO}{MN}=\frac{MP}{MQ}[/tex]

substitute the values

[tex]\frac{21+7}{21}=\frac{36+x}{36}[/tex]

[tex]28*36=21*(36+x)\\ \\1,008=756+21x\\ \\21x=252\\ \\x=12\ units[/tex]