2. Lillie's grandmother is making potato salad for a family reunion. She uses three
potatoes for each person attending the dinner. If she expects 24 people to
attend the reunion, which proportion can be used to solve for p, the number of
potatoes?

Answer:

3 tick marks to the left of 0 would be 3 ad 9 tick marks to the right of 0 would be 9

Step-by-step explanation:

Answer:

x=$10000

Step-by-step explanation:

sorry if its wrong lol

$800 = $300 +.05(x), x being the amount that must be sold

Subtract 300 from both sides

$500= .05(x)

Divide by .05

Answer:

When  x =  -16, y = -1.

Step-by-step explanation:

Let's plug in y = -1 into this equation

-1 = 1/4x + 3

Now, we need to solve the equation for x. To do so, we want x to be by itself on one side of the equation. We will use inverse operations to get the x by itself. First, subtract 3 from either side to under the +3 on the right side of the equation.

-1 - 3 = 1/4x + 3 - 3

-4 = 1/4x

Next, we will divide by 1/4 to undo the *1/4. Dividing by 1/4 is the same as multiplying by 4, so we will multiply each side by 4.

-4 * 4 = 1/4x * 4

-16 = x

bye now

im tyler

Answer:

30x-45+60x+15

collect like terms

-45+15+30x+60x

=-30+90x

divide both sides by -30

-30x/-30 =90/-30

x=-3

Answer:

66% or 2/3

Step-by-step explanation:

add all the games up and you get 24 games played total then divide 16 by 24 and you get .66 or 2/3 because 16 is 2/3 of 24 and they are both a multiple of 8

What do you need help with?

If all else remains constant and the values of two variables move in the same direction, it indicates a positive correlation.

  Correlation is a statistical measure that expresses the relationship between two variables. The correlation coefficient, which ranges from -1 to +1, is used to quantify the correlation.

 A positive correlation is when the values of the variables move in the same direction. A correlation of +1 indicates that the variables are perfectly positively correlated, implying that as one variable increases, the other also increases.

 A correlation of -1 indicates that the variables are perfectly negatively correlated, implying that as one variable increases, the other decreases. A correlation of zero indicates that there is no correlation between the variables.

   Hence a positive correlation exists when the values of two variables move in the same direction while all other factors remain constant.

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Answer: -\(-\frac{1}{40}x^{2}\)

Eplanation: The quation form is: \(y=\frac{1}{4(p)}x^{2}\)

The dielectrick is: \(y= -p=10\) ⇒ \(p= -10\)

The equation is:  \(y=\frac{1}{4(-10)} x^{2} =-\frac{1}{40}x^{2}\)

Use the Distance Formula to write an equation of the parabola with vertex (0,0) and focus (0, −10). The equation of the parabola is y = -(1/40)x².

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

\(\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

It is given that the vertex is (0,0) and the focus is (0, −10).

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

(x - 0)² = 4a(y - 0)

x² =4ay

a = √[(0-0)² + (0-(-10)²]

(c, d) is the focus of the parabola:

a =10

As a result, the above equation is y = -(1/40)x².

Thus, use the Distance Formula to write an equation of the parabola with vertex (0,0) and focus (0, −10). The equation of the parabola is y = -(1/40)x².

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The equivalent expression for \(\left(\frac{1.4^2}{1.2^4}\right)^{-6}\)is (D) \(\frac{1.2^{24}}{1.4^{12}}\).

The product of same base different exponent is given by the sum of exponents with same base.

Any power value of 1 is alsways 1.

Given that the expression is

\(\left(\frac{1.4^2}{1.2^4}\right)^{-6}=\frac{1^{-6}.4^{-12}}{1^{-6}.2^{-24}}=\frac{1.2^{24}}{1.4^{12}}\)

Hence the correct option is (D).

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(a) The head loss through straw is 0.007 m

(b) The pressure drop if the flow is horizontal up is 1974 Pa

(c) The pressure drop if the flow is vertically up 0.007 m

(a) For turbulent flow (high Re), the friction factor depends on the roughness of the straw's walls and can be calculated using the Colebrook equation. Since the straw is smooth, we can assume laminar flow.

Substituting the values into the Reynolds number equation, we get:

Re = (1000 kg/m³ x 0.0955 m/s x 0.002 m) / (0.001 kg/ms) = 191,000

Therefore, the friction factor is:

f = 64 / 191,000 = 0.000334

Finally, substituting all the values into the Darcy-Weisbach equation, we get:

h_L = (0.000334 x 0.2 m x 0.0955 m/s²) / (2 * 9.81 m/s² x 0.002 m) = 0.007 m

(b) In this case, the change in height is the height of the straw, which is 20 cm. Substituting the values, we get:

ΔP = 1000 kg/m³ x 9.81 m/s² x 0.2 m = 1962 Pa

Therefore, the total pressure drop when the flow is horizontal upward is:

P_drop = h_L + ΔP = 0.007 m + 1962 Pa = 1974 Pa

(c) If the flow is vertical upward, there is no change in elevation of the fluid, so the pressure drop is solely due to the head loss calculated in part (a). Therefore, the pressure drop is:

P_drop = h_L = 0.007 m

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The circumference of the circle in terms of π whose radius is given would be = 63π. That is option D.

To calculate the circumference of a circle, the formula that should be used would be given below.

That is;

circumference of circle= 2πr

The radius = 31½

circumference = 2×π × 31½

= 2×π× 63/2

= 63π

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Answer:

DB...hope I helped!

Step-by-step explanation:

Since m1+m2=180 and m1=76, then m2=104

m2=m4, so m4 is also 104

m3=m1, so it is 76

Hope I helped!

Answer:

is that the answer you want?

The relationship between the heights of two right circular cylinders with the same volume. The radius of the second cylinder increases, its height must decrease to maintain the same volume as the first cylinder.

In order to find the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius, and h is the height of the cylinder.

Given that both cylinders have the same volume, let's denote their volumes as V1 and V2, their radii as r1 and r2, and their heights as h1 and h2. The given information states that r2 > r1. We can now write the equations for the volumes of the two cylinders:

V1 = π(r1)²h1
V2 = π(r2)²h2

Since V1 = V2, we can set the two equations equal to each other:

π(r1)²h1 = π(r2)²h2

We can now solve for the relationship between the heights of the two cylinders:

h1/h2 = (r2/r1)²

This equation shows that the ratio of the heights of the two cylinders is equal to the square of the ratio of their radii. As the radius of the second cylinder is greater than the radius of the first (r2 > r1), the height of the second cylinder will be less than the height of the first (h2 < h1). In other words, as the radius of the second cylinder increases, its height must decrease to maintain the same volume as the first cylinder.

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Answer:

x-intercepts are (0, 0) and (-6, 0)

Step-by-step explanation:

equation of a parabola in vertex form:  y = a(x - h)² + k

where (h, k) is the vertex

Substituting the given vertex (-3, -18) into the equation:

y = a(x + 3)² - 18

If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:

0 = a(0 + 3)² - 18

⇒ 0 = a(3)² - 18

⇒ 0 = 9a - 18

⇒ 9a = 18

⇒ a = 2

Therefore, y = 2(x + 3)² - 18

To find the x-intercepts, set the equation to 0 and solve for x:

                                 2(x + 3)² - 18 = 0

Add 18 to both sides:     2(x + 3)² = 18

Divide both sides by 2:    (x + 3)² = 9

Square root both sides:      x + 3 = ±3

Subtract 3 from both sides:  x = ±3 - 3

so x = 3 - 3 = 0  

and  x = -3 - 3 = -6

So x-intercepts are (0, 0) and (-6, 0)

Answer:

The x-intercepts are ( 0 , 0 ) , ( -6 , 0 )

Explanation:

vertex (-3,-18) and y-intercept (0,0)

equation used f(x) = a(x - h)² + k  where (h,k) is vertex.

0 = a(0--3)² + -18

0 = 9a - 18

18 = 9a

a = 2

f(x) = a(x - h)² + k  ......this is vertex to find equation of parabola.

f(x) = 2(x - -3)² + -18

f(x) = 2(x + 3)² - 18 ....this is our formula of parabola

f(x) = 2(x² +6x + 9) - 18

f(x) = 2x² +12x +18 - 18

f(x) = 2x²+12x  .....if simplified.

To find x intercepts, y must be 0,

2x²+12x = 0

2x(x+6) = 0

x = 0 , -6

so the coordinates are: ( 0 , 0 ) , ( -6 , 0 )

Answer: 22 miles

Step-by-step explanation: Ms. G and Ms. Leahman both bike the same amount on Saturday:

4 miles to go to the city;

2 miles with Mr. Adams;

4 miles back to Bedstuy;

Then, both biked:

4 + 2 + 4 = 10 miles

Now, Mr. Adams bikes:

5 miles to go to the city;

2 miles together with the other two;

5 miles back to Bedstuy;

Then, he biked, in total:

5 + 2 + 5 = 12miles

So, the three of them biked, in total:

10 + 12 = 22

On Saturday, Ms. G, Mr. Adams and Ms. Leahman biked, in total, 22 miles.

Answer:

$0.56, or 56¢.

Step-by-step explanation:

According to the picture, there are two dimes, two nickels, a penny, and a quarter.

A penny is worth $0.01.

A nickel is worth $0.05.

A dime is worth $0.10.

A quarter is worth $0.25.

2(0.1) + 2(0.05) + (0.01) + (0.25) = 0.2 + 0.1 + 0.01 + 0.25 = 0.3 + 0.26 = 0.56.

So, Vivian is using $0.56, or 56¢, to buy a toy. That's a cheap one!

Hope this helps!

Answer:

Step-by-step explanation:

The midpoint formula is

\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\) and we have the coordinates of the midpoint and the coordinates of one endpoint. Filling that in we have:

\((-5,-4)=(\frac{-4+x_2}{2},\frac{-7+y_2}{2})\) and we will solve for the missing values one at a time. x first:

\(-5=\frac{-4+x_2}{2}\) and

-10 = -4 + x₂ so

-6 = x₂ and do the same for y:

\(-4=\frac{-7+y_2}{2}\) and

-8 = -7 + y₂ so

-1 = y₂

Thus, the coordinates of point g are (-6, -1)

First part of the problem is 91 dollars!

Second part add 39 and 39 until you get 117 I’m not goo with that part

Using a system of equations, it is found that a soft taco costs $1 and a burrito costs $3.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

You order four soft tacos and three burritos and your total bill is $15, hence:

\(4x + 3y = 15\)

Your friend's bill is $9 for two soft tacos and two burritos, hence:

\(2x + 2y = 9\)

\(x + y = 4.5\)

\(y = 4.5 - x\)

Hence, replacing on the first equation:

\(4x + 3y = 15\)

\(4x + 3(4.5 - y) = 15\)

\(x = 1.5\)

\(x = 4.5 - 1.5 = 3\)

Hence, a soft taco costs $1 and a burrito costs $3.

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Answer:

Line 1 is considered perpendicular

Line 2 is considered parallel

Line 3 is also parallel

Step-by-step explanation:

This should be right if this is the rest to your problem:

1. Line AB formed by A(-1,3) and B(1,5); Line CD formed by C(2,3) and D(-2,7)

2. Line AB formed by A(3,8) and B(-6,5); Line CD formed by C(-6,7) and D(-3,8)

3. Line AB formed by A(2,-7) and B(2,3); Line CD formed by C(-4,0) and D(-4,-5)

The length and the width vary inversely.

A variation is a relation between a set of values of one variable and a set of values of other variables.

In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

If first rectangle length = 72cm and width = 56cm

Then, area = length x width = 72 x 56 = 4032\(cm^{2}\)

If length of second rectangle = x

and width = 21

Area of second rectangle = 21x

so both areas are equal, which means

21x = 4032

x = 4032/21

x = 192cm

Since the first rectangle had a width of 56cm and length, 72 and second rectangle has a reduced width 21 cm and an increased length 192cm. it means that the length and the width vary inversely since the reduction in width led to an increase in length.

In conclusion, the two quantities length and width vary inversely.

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Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.

Let's denote the amount of money Blake invests at 4% interest as "x" (in dollars) and the amount he invests at 5% interest as "11000 - x" (since the total investment is $11,000).

To earn interest, we can use the formula: Interest = Principal × Rate × Time

For the 4% interest account, the interest earned is:

0.04x × 1 (1 year) = 0.04x

For the 5% interest account, the interest earned is:

0.05(11000 - x) × 1 (1 year) = 550 - 0.05x

According to the problem, the total interest earned is $490. Therefore, we can set up the equation:

0.04x + (550 - 0.05x) = 490

Simplifying the equation:

0.04x + 550 - 0.05x = 490

-0.01x + 550 = 490

-0.01x = -60

x = 6000

Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.

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Answer:

Number 7 the answer when rounded to the nearest hundredth is 5.88%

Number 9 the answer is 43.333 repeating.

Step-by-step explanation:

To find the percent of boys that preferred the Beatles, we need to find the total amount of boys who voted. We can see it is 34. To find the percent, we do 2/34 which is equal to 0.05882352941. This as a percent is 5.88% rounded.

To find the amount of girls surveyed from the total, we find the total surveyed and do 26/60. This is equal to 0.4333333 repeating. This is equal to 43.33333% repeating.

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Answer:

60

Step-by-step explanation:

n/2 + 5 = 35

N/2 = 30

N = 60

Answer:

17, 5

Step-by-step explanation:

Let the width be x

width = x

length = x + 12

length x width = x(x + 12)

length x width = x² + 12x

x² + 12x = 85

x² + 12x - 85 = 0

Now it is just a quadratic:

The 2 numbers we need are 17 and -5

(x + 17)(x - 5) = 0

x = -17 or x = 5.

Since width and length cannot be negative, x must equal 5.

Width = 5

length = 17

The answer is 17, 5.

We are given two things :

We can represent the length and width as x + 12 and x respectively.

Now, the formula for the area of a rectangle is :

Area = Length x width

Now, let's substitute the values for length and width in the formula along with the area.

We now have a quadratic equation, which can either be solved by splitting the middle term, or by using the quadratic formula. For convenience purposes, we'll go with the first one.

The surface area of the spherical balloon is 198 cm².

The circumference of a sphere is related to its radius by the formula:

C = 2πr

Given that the circumference of the balloon is 25 cm, we can solve for the radius:

25 = 2πr

Dividing both sides by 2π, we find:

r = 25 / (2π)

To calculate the surface area of a sphere, we use the formula:

A = \(4\pi r^2\)

Substituting the value of r we found:

A = \(4\pi (25 / (2\pi ))^2\)

Simplifying the equation, we get:

\(A = 4\pi (25^2) / (4\pi^2)\)

The π in the numerator and denominator cancels out, and the equation simplifies to:

A = 625 / π

Now, we can calculate the approximate surface area rounded to the nearest centimeter:

A ≈ 625 / 3.14

A ≈ \(198.0918 cm^2\)

Rounding to the nearest centimeter, the approximate surface area of the balloon is \(198 cm^2.\)

Therefore, the answer is C. \(198 cm^2.\)

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Answer:

Step-by-step explanation:

I believe the answer is D

Hope it helps ^^

Answer:

B

Step-by-step explanation:

Well i beileve this is the answer because:

A- Divorced: i dont belive when she went back she had died of sickness.

B- Disowned by her tribe: seems the most trustable.

C- Presented to the king and queen and was received as royal as a princess: No JUST no.

D- Killed by european settlers: wrong answer i got it wrong on the exam in social same as you.

The volume of the solid enclosed by the given paraboloids is 68 cubic units.

To find the volume of the solid enclosed by the paraboloids \(z = 16(x^2 + y^2) and z = 18 - 16(x^2 + y^2),\) we need to determine the limits of integration for x, y, and z.

First, let's set the two equations equal to each other to find the intersection points:

\(16(x^2 + y^2) = 18 - 16(x^2 + y^2)\)

Simplifying the equation:

\(32(x^2 + y^2) = 18\\x^2 + y^2 = 18/32\\x^2 + y^2 = 9/16\)

This equation represents a circle in the xy-plane with a radius of \((9/16)^{1/2} = 3/4.\)

Now, we need to determine the limits of integration for x, y, and z based on the geometry of the solid. Since the paraboloids are symmetric about the z-axis, we can integrate over a quarter of the circle in the xy-plane and multiply the result by 4.

The limits of integration for x will be from -3/4 to 3/4, and for y, it will also be from -3/4 to 3/4.

To find the limits of integration for z, we need to determine the upper and lower surfaces of the solid. The upper surface is given by\(z = 18 - 16(x^2 + y^2), and the lower surface is given by z = 16(x^2 + y^2).\)

Therefore, the limits of integration for z will be from the lower surface \((16(x^2 + y^2))\) to the upper surface \((18 - 16(x^2 + y^2)).\) Substituting the limits of integration for x and y, we have:

\(z = 16(x^2 + y^2) to z = 18 - 16(x^2 + y^2)\)

Now, we can set up the integral to calculate the volume:

\(V = 4 \int\ \int\ \int\ (18 - 16(x^2 + y^2) - 16(x^2 + y^2)) dxdydz\\V = 4 \int\ \int\ \int\ (18 - 32(x^2 + y^2)) dxdydz\)

Since the limits of integration are symmetric, we can simplify the integral by integrating over a quarter of the circle:

\(V = 4 \int\ \int\ \int\(18 - 32(x^2 + y^2)) dx dy dz, where x and y range from 0 to 3/4, and z ranges from 16(x^2 + y^2) to 18 - 16(x^2 + y^2).\)

where the limits of integration are as follows:

x ranges from -3/4 to 3/4,

y ranges from -3/4 to 3/4,

and z ranges from \(16(x^2 + y^2) to 18 - 16(x^2 + y^2).\)

Now, let's evaluate this integral step by step:

\(V = 4 \int\ \int\ \int\ (18 - 32(x^2 + y^2)) dxdydz\)

Using the given limits of integration, we have:

\(V = 4 \int\[y=-3/4 to 3/4] \int\[x=-3/4 to 3/4] \int\[z=16(x^2 + y^2) to 18 - 16(x^2 + y^2)] (18 - 32(x^2 + y^2)) dx dy dz\)

Now, we can perform the innermost integral with respect to x:

\(V = 4 \int\[y=-3/4 to 3/4] \int\[x=-3/4 to 3/4] [(18x - 32x^3/3) - (18y^2x - 32y^2x^3/3)] z=16(x^2 + y^2) to 18 - 16(x^2 + y^2) dy dz\)

Simplifying this expression, we have:

\(V = 4 \int\[y=-3/4 to 3/4] \int\[x=-3/4 to 3/4] [(18 - 32x^2 - 32y^2) - (18 - 32(x^2 + y^2))] dy dz\\V = 4 \int\[y=-3/4 to 3/4] \int\[x=-3/4 to 3/4] (-32x^2 - 32y^2) dy dz\\V = 4 \int\[y=-3/4 to 3/4] [-(32/3)x^2y - (32/3)y^3] x=-3/4 to 3/4 dz\\V = 4 \int\[y=-3/4 to 3/4] [-(64/48)y - (64/48)y^3] dz\\V = 4 \int\[y=-3/4 to 3/4] (-(64/48)y - (64/48)y^3) dz\)

Now, we can integrate with respect to y:

\(V = 4 [-(64/48)(y^2/2) - (64/48)(y^4/4)] y=-3/4 to 3/4 dz\\\\V = 4 (-(64/48)(9/32) - (64/48)(81/1024)) dz\\\\V = 4 (-(576/1536) - (5184/1536)) dz\\\\V = 4 (6288/1536) dz\\\\V = 26112/384\\\\V = 68\)

The volume of the solid enclosed by the given paraboloids is 68 cubic units.

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An exponential function can be represented as:

To find the constans "a" and "b" we can choose 2 given points and substitute it in the general function.

First, lets choose the point (0,1/4):

Now, we can write the general function again:

To find "b", we can choose another point. Lets choose (3,2)

Now, we write the rule of the fuction:

The exponential function can be expressed as: