Which of the following best describe a parabola

Answer:

D

Step-by-step explanation:

If you made a table and filled in the values,  the rate column it would look like this:  

                   d     =      r             t

truck                         80

car                            90

So far so good.  If we want the car to catch up with the truck, that means that in the end they travel the exact same amount of miles.  So let's fill in the d:

               d     =     r             t

truck       d           80

car          d           90

Again, not too bad.  If the car leaves 20 minutes later than the truck, that means that the time the truck is traveling is 20 minutes more than the car's time.  So the car's time is t and the truck's time is t + 20:

             d     =     r         t

truck      d           80     t+20

car         d           90        t

Now because the distances are equal, we can set the rate times time for each vehicle equal to each other:

80(t + 20) = 90t

That is choice D

1. The parabola opens upward.

2. It has a minimum value

The explanation is shown below. Also, the graph of this function  is shown below including the vertex.

Answer:

6135.9m^3

Step-by-step explanation:

V=3.14r^2 h/3

step by step

1. the radius is half so half of 25 is 12.5 that's the r in your equation

2.the height in your equation is 3 times more then the radius and your radius is 12.5X3 =37.5 for your height

3. plug everything in back into the equation v=3.14(12.5)^2(37.5/3)= 6135.923 when rounded it is 6135.9m^3

To find the volume, you need to do length times width times height

SO you have to do 5 times 5 times 6

The volume is 150 cubic feet

Since 150 cubic feet of this rectangular prism is 15 tons

you can do 15 divided by 150

so one cubic feet of this stone sculpture weight 0.1 tons

Btw, a pyramid is  a triangular structure, not rectangular

The equation in point-slope form for the line through the point (-3, -7) with slope -6/5x is y - (-7) = -6/5(x - (-3)).

To write the equation of a line in point-slope form, we can use the given point and slope. The point we have is (-3, -7) and the slope is -6/5. The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the values, we get the equation as:

y - (-7) = -6/5(x - (-3))

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To write an equation in point-slope form, you need the coordinates of a point on the line and the slope of the line. In this case, the given point is (–3, –7) and the slope is -6/5. The equation in point-slope form is y + 7 = -6/5(x + 3).

To write an equation in point-slope form, you need the coordinates of a point on the line and the slope of the line. In this case, the given point is (–3, –7) and the slope is -6/5.

The point-slope form of the equation is y - y1 = m(x - x1).

Plugging in the values, we get y - (-7) = -6/5(x - (-3)).

Simplifying, we have y + 7 = -6/5(x + 3).

Thus, the equation in point-slope form for the line through the point (–3, –7) with a slope of -6/5x is y + 7 = -6/5(x + 3).

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Answer:

The area of the hexagon is [tex]96\sqrt{3}\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the hexagon is equal to

[tex]A=\frac{1}{2}Pa[/tex]

where

P is the perimeter of the hexagon

a is the apothem

Find the Perimeter P

[tex]P=6(8)=48\ cm[/tex]

Find the apothem a

[tex]a=(8)sin(60\°)[/tex]

[tex]a=8(\frac{\sqrt{3}}{2})=4\sqrt{3}\ cm[/tex]

Find the area of the hexagon

[tex]A=\frac{1}{2}(48)(4\sqrt{3})=96\sqrt{3}\ cm^{2}[/tex]

-5 cause it is 32-42 and the anserw is -5

For this case we have a system of two equations with two unknowns:

[tex]x = -3y-13\\2x + 2y = -6[/tex]

To solve we follow the steps below:

We substitute the first equation in the second:

[tex]2 (-3y-13) + 2y = -6[/tex]

We apply distributive property to the terms of parentheses:

[tex]-6y-26 + 2y = -6[/tex]

We add 26 to both sides of the equation:

[tex]-6y + 2y = -6 + 26\\-4y = 20\\y = \frac {20} {- 4}\\y = -5[/tex]

We find the value of x:

[tex]x = -3 (-5) -13\\x = 15-13\\x = 2[/tex]

Answer:

[tex](x, y) :( 2, -5)[/tex]

[tex]\dfrac1{x(x-1)}=\dfrac ax+\dfrac b{x-1}[/tex]

[tex]1=a(x-1)+bx[/tex]

If [tex]x=0[/tex], then

[tex]1=-a\implies a=-1[/tex]

If [tex]x=1[/tex], then

[tex]1=b[/tex]

So we have

[tex]\dfrac1{x(x-1)}=\dfrac1{x-1}-\dfrac1x[/tex]

Answer:

first 1

Step-by-step explanation:

first 1

Answer:

7/4 ÷ 1/2= 3 1/2

Step-by-step explanation:

This is the answer hope it help's :)

Answer:

1.67%

Step-by-step explanation:

With the given information that the computer depreciates 20% a year, we have our basis for making the calculation. What is asked for is how much of a depreciation the computer has monthly. One year has 12 months, so in order to get to the result we just simply need to divided the 20% with the number of months in a year to get the result:

20 / 12 = 1.67

The result is 1.67%, thus the computer depreciates 1.67% on a monthly basis.

Answer:125+220+c

if c= 20 then it would be 125+220+20=365

Step-by-step explanation:

10-14-19-12-14-18-10-15-15

Answer:

a. 1/150.

b. 14.

Step-by-step explanation:

a.  That would be 2/300 = 1/150.

b.  So we expect 1 out of every 150  bikes will have 1 with defective brakes so out of 2,100 it is (1/150) * 2,100

= 14.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

C:  AB is the radius of both circles.

Answer:

C. line segment AB is the radius of both circles.

Step-by-step explanation:

If point A is the center of the first circle and point B is the center of the second circle (in the figure), therefore Line segment AB is the radius of both circles and we write.

Line segment AB = line segment AC (radius of first circle ) and

line segment  AB =  line segment BC (radius of second circle).

Hence line segment AB is the radius of both circle is the correct option for AB =AC.

Answer: 0.1(175-n)+0.05n=13.30

Step-by-step explanation: The question is asking you to make and simplify a system of equations.

The 2 equations are:

n+d=175

0.1d+0.05n=13.30.

d=175-n

Solve for n, then substitute into the second equation.

0.1(175-n)+0.05n=13.30

Hope this helps!

so she saved $20 and that was 40% of the regular price, let's say the regular price is "x".

if 20 is 40%, what is "x" or namely the 100%?

[tex]\bf \begin{array}{ccll} amount0&\%\\ \cline{1-2} 20&40\\ x&100 \end{array}\implies \cfrac{20}{x}=\cfrac{40}{100}\implies \cfrac{20}{x}=\cfrac{2}{5}\implies 100=2x \\\\\\ \cfrac{100}{2}=x\implies 50=x[/tex]

Answer:This is an equation! Solutions: x=1.

Step-by-step

Answer:

[tex]\frac{38}{7}[/tex]

Step-by-step explanation:

Using the properties of logarithms,

[tex]\log(7)+\log(x-4)=1\\\log(7(x-4))=1\\\log(7x-28)[/tex]

Now think about what this is asking. The log function say 10 to the power of whats on the other side of the equals sign, equals whats in the parenthesis. So, this means whats is the parenthesis is equal to [tex]10^1[/tex] or just 10.

We can now solve to x.

[tex]7x-28 = 10\\7x=38\\x=\frac{38}{7}[/tex]

Answer:

x=38/7

Step-by-step explanation:

Just took the test

For this case we have that by definition:

1 pound is equivalent to 16 ounces.

We make a rule of three to determine the ounces of butter:

1lb ------------------------> 16onzas

[tex]\frac {1} {12}[/tex]----------> x

Where "x" represents the ounces of butter

[tex]x = \frac {\frac {1} {12} * 16} {1}\\x = \frac {16} {12}\\x = \frac {8} {6}\\x = \frac {4} {3}[/tex]

Thus, there are [tex]\frac {4} {3}[/tex]ounces of butter.

Now we must find the amount of eggs that remain:

[tex]92- (43+ \frac {1} {5}) =\\92 - (\frac {43 * 5 + 1} {5}) =\\92 - (\frac {215 + 1} {5}) =\\92 - (\frac {216} {5}) =\\92-43.2 =\\48.8[/tex]

Round down. There are 48 eggs left.

Answer:

There are [tex]\frac {4} {3}[/tex] ounces of butter.

48 eggs left

ANSWER

A. 8x=16

EXPLANATION

The given equations are:

1st equation: y=2x

2nd equation: 2x+3y=16

We substitute the first equation into the second equation to get:

2x+3(2x)=16

This implies that:

2x+6x=16

We combine like terms to get:

8x=16

The correct choice is A. 8x=16

Answer:

Gum’s Minimum height: 6ft

Gum’s Maximum height: 8ft

2nd part

How far does the gym travel in one revolution of the bicycle wheel?

2pi

Answer:

Minimum height of gum = 6 foot.

Maximum height of gum = 8 foot.

Step-by-step explanation:

A rider is riding a bicycle on a 6 foot wall, therefore the height of the lowest point of the rear wheel is 6 foot from the ground and highest point of the rear wheel is (6+2) foot = 8 foot ( because diameter of rear wheel =2 foot ).

If a piece of gum become stuck to the rear wheel, hence the minimum height of the gum is 6 foot from the ground and maximum height of the gum is 8 foot  from the ground.

Answer:

x + 6 =

Step-by-step explanation:

In math sum means addition, difference is subtraction, product is multiplication, and quotient is division

ANSWER

x+6

EXPLANATION

An algebraic expression contains letters and numbers that are connected with mathematical operators or symbols.

The sum of x and 6 as an algebraic up expression is:

x+6

This expression contains a variable , a mathematical symbol and a number.

Answer:

(2x+3)(2x+3)

Step-by-step explanation:

a^2+2ab+b^2

Answer:

C

Step-by-step explanation:

The formula for effective annual interest rate is:

[tex]r=(1+\frac{i}{n})^{n}-1[/tex]

where

r is the effective annual interest rate

i is the stated interest rate (here, it is 1.55%, or 0.0155)

n is the number of compounding periods (here, compounded monthly, so it means 12 times a year, so n = 12)

plugging these info into the formula, we get:

[tex]r=(1+\frac{i}{n})^{n}-1\\r=(1+\frac{0.0155}{12})^{12}-1\\r=0.0156[/tex]

0.0156 * 100 = 1.56%

correct answer is C

Answer:

The answer is C

Step-by-step explanation:

i got it right on Plato : ) Brainliest?

Simplify for -5/8*2/3= -5/12

-0.416 as a mixed number

The diagonal (d) of the rectangular solid with dimensions l=8, w=4, h=2 is found using the Pythagorean theorem in three dimensions. Plugging in the values, d is approximately 9.17 units.

To find the diagonal (d) of a rectangular solid with length (l), width (w), and height (h), you can use the Pythagorean theorem in three dimensions. The formula for the diagonal of a rectangular solid is given by:

d = √(l² + w² + h²)

Given that l = 8, w = 4, and h = 2, we can substitute these values into the formula to find d:

d = √(8² + 4² + 2²) = √(64 + 16 + 4) = √84 ≈ 9.17

So the diagonal of the rectangular solid is approximately 9.17 units.

Answer:

Option d.

±π/2 ; ±3π/2

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The equation is:

f(x)= 3*cos (x)

We can see from the graph that the zeros are

±π/2 ; ±3π/2

Correct option is d.

Answer:

The last graph

Step-by-step explanation:

The problem presented here is similar to a compound interest problem since we have an initial value, a growth constant and the aspect of time.

We can consider the number of television sets currently produced by the company to be our Principal amount;

P = 2000

The rate of increase in production per month can be considered as our interest rate earned;

r = 25% = 0.25

The total number of television sets y will be our Accumulated amount;

A = y

The duration x becomes our time n.

The compound interest formula is given as;

[tex]A=P(1+r)^{n}[/tex]

We simply substitute the given information into the formula;

[tex]y=2000(1.25)^{x}[/tex]

This is an exponential growth function since the base of the exponent x is greater than 1.

A graph of the function will be an exponential curve passing through ( 0, 2000) since 2000 is our initial value

Answer: the last ones

Step-by-step explanation: I put it and got it right:)

Answer:

The maximum value is 126 occurs at (9 , 9)

Step-by-step explanation:

* Lets remember that a function with 2 variables can written

 f(x , y) = ax + by + c

- We can find a maximum or minimum value that a function has for

 the points in the polygonal convex set

- Solve the inequalities to find the vertex of the polygon

- Use f(x , y) = ax + by + c to find the maximum value

∵ 8x + 2y = 36 ⇒ (1)

∵ -3x + 6y = 27 ⇒ (2)

- Multiply (1) by -3

∴ -24x - 6y = -108 ⇒ (3)

- Add (2) and (3)

∴ -27x = -81 ⇒ divide both sides by -27

∴ x = 3 ⇒ substitute this value in (1)

∴ 8(3) + 2y = 36

∴ 24 + 2y = 36 ⇒ subtract 24 from both sides

∴ 2y = 12 ⇒ ÷ 2

∴ y = 6

- One vertex is (3 , 6)

∵ 8x + 2y = 36 ⇒ (1)

∵ -7x + 5y = -18 ⇒ (2)

- Multiply (1) by 5 and (2) by -2

∴ 40x + 10y = 180 ⇒ (3)

∴ 14x - 10y = 36 ⇒ (4)

- Add (3) and (4)

∴ 54x = 216 ⇒ ÷ 54

∴ x = 4 ⇒ substitute this value in (1)

∴ 8(4) + 2y = 36

∴ 32 + 2y = 36 ⇒ subtract 32 from both sides

∴ 2y = 4 ⇒ ÷ 2

∴ y = 2

- Another vertex is (4 , 2)

∵ -3x + 6y = 27 ⇒ (1)

∵ -7x + 5y = -18 ⇒ (2)

- Multiply (1) by 7 and (2) by -3

∴ -21x + 42y = 189 ⇒ (3)

∴ 21x - 15y = 54 ⇒ (4)

- Add (3) and (4)

∴ 27y = 243 ⇒ ÷ 27

∴ y = 9 ⇒ substitute this value in (1)

∴ -3x + 6(9) = 27

∴ -3x + 54 = 27 ⇒ subtract 54 from both sides

∴ -3x = -27 ⇒ ÷ -3

∴ x = 9

- Another vertex is (9 , 9)

* Now lets substitute them in f(x , y) to find the maximum value

∵ f(x , y) = 9x + 5y

∴ f(3 , 6) = 9(3) + 5(6) = 27 + 30 = 57

∴ f(4 , 2) = 9(4) + 5(2) = 36 + 10 = 46

∴ f(1 , 5) = 9(9) + 5(9) = 81 + 45 = 126

- The maximum value is 126 occurs at (9 , 9)

The maximum value of the function for the polygonal convex set determined by a system of inequalities can be found using linear programming. The key steps are to plot the inequalities, find the vertices of the feasible region, and substitute these points into the function to find the maximum value.

This problem is related to linear programming, which is a method to achieve the best outcome in a mathematical model whose requirements are represented by linear relationships. To find the maximum value of the function for the polygonal convex set determined by the given system of inequalities, you essentially need to apply the rules of linear programming.

Firstly, plot the system of inequalities on a coordinate system to determine the feasible region, which is the polygonal convex set. Then, find each vertex of this polygonal convex set. These vertices are points where boundaries of the system of inequalities intersect. Once you have these vertices, substitute each of them into the function you are maximizing. The largest output will be the maximum value of the function within the given polygonal convex set.

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ANSWER

I) 5:11

ii) 5:11

iii) 125:1331

EXPLANATION

Let the side lengths be in the ratio:

x:y

This implies that the area will be in the ratio:

[tex] \frac{ {x}^{2} }{ {y}^{2} } = \frac{25}{121} [/tex]

Take positive square root.

[tex] \frac{x}{y} = \sqrt{ \frac{25}{121} } [/tex]

[tex] \frac{x}{y} = \frac{5}{11} [/tex]

Hence the sides are in the ratio:

x:y=5:11

The perimeter of the smaller hexagon is 6×5=30

The perimeter of the larger hexagon is 6×11=66

The ratio of the perimeter is

30:66=5:11

The volume will be in the ratio

5³:11³

125:1331