a parabola is the set of all points that:

Answer:

360 km

Step-by-step explanation:

The length on the ground will be ...

(24·10^-2 m)·(1.5·10^6) = 36·10^4 m = 360·10^3 m = 360 km

Answer:

The length of river is 360km

Explanation:

Length on the map of Severn river = 24cm

Scale on the map = x:y axis

                               =1:1500000

Where y is the length  

Hence 1 cm= 15 km

Therefore

Length of the river

=24[tex]\times[/tex]15

=360 km

Hence the length of river is 360 km

The circumference of the circle is 18.84 cm and the area is 28.26 cm².

To find the circumference of a circle, we use the formula C = πd, where d is the diameter. In this case, the diameter is 6 cm, so the circumference is:

C = 3.14 × 6 = 18.84 cm

To find the area of a circle, we use the formula A = πr², where r is the radius. Since the radius is half the diameter, the radius in this case is 6/2 = 3 cm. So the area is:

A = 3.14 × 3² = 28.26 cm²

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Answer:

Translate 6 units to the right.

Step-by-step explanation:

The y = x^2 function is a quadratic function with vertex at (0,0). It can be transformed to have a vertex of (6,0) like the function y = (x-6)^2 by shifting it 6 units to the right. It is now the graph of y = (x-6)^2.

The equation y = (x - 6)² represents a transformation of the graph y = x², specifically a horizontal shift 6 units to the right on the 2-dimensional (x-y) plane.

To transform the graph of y = x² to the graph of the equation y = (x – 6)², you must understand that these both take the form of a quadratic equation, producing a parabola when graphed. The difference between these two equations is indicated by the term '– 6' in the x of the second equation which corresponds to a horizontal shift in the graph.

In the equation y = (x – 6)², this specifically means that the graph of y = x² is shifted 6 units to the right. This shift doesn't change the shape of the graph, it only moves the location in the 2-dimensional (x-y) plane. So, when you plot data pairs for both y = x² and y = (x – 6)², the second graph would be identical to the first, just moved 6 units to the right.

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Answer:

56.1 cm²

Step-by-step explanation:

In any circle the area (A) of a sector is

A = area of circle × fraction of circle

   = πr² × [tex]\frac{81}{360}[/tex]

   = π × 8.91² × [tex]\frac{81}{360}[/tex]

   = [tex]\frac{8.91^2(81)\pi }{360}[/tex] ≈ 56.1 cm²

Answer:

It's C.

Step-by-step explanation:

The red curve  pass through the point (0, 1) and also y = 2 when x = 1 ,  so this is y = 2^x. The inverse is the reflection of  f(x) in x = y so the blue curve is y = log2 x.

The two equation shown in the graph are y = e^x and y = lnx.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable).

The red line shown in the graph represents y = e^x

The graph of y = e^x will never have a negative value of y, as the value of x increases the value of y will keep on increasing till ∞ . The value of y at x = 0 is 1, so the graph will cross the y-axis at (0,1).

The blue line shown in the graph represents y = lnx

The value of y will be negative when the value of x lies between 0 and 1 after that the value of y will keep on increasing and the point (1,0) satisfies the equation so it will cross the X - axis at (1,0)

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Answer:

[tex]\large\boxed{x=4}[/tex]

Step-by-step explanation:

[tex]3\log_4x=\log_432+\log_42\qquad\text{use}\ \log_ab^c=c\log_ab\ \text{and}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_4x^3=\log_4(32\cdot2)\\\\\log_4x^3=\log_464\iff x^3=64\to x=\sqrt[3]{64}\\\\x=4[/tex]

Answer: 4

Step-by-step explanation: Its on EDG

Answer:

i think its 20

Step-by-step explanation:

Answer:

x = 12.8 cm

Step-by-step explanation:

Using the sine ratio in the right triangle to solve for x

sin70° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex]

Multiply both sides by x

x × sin70° = 12 ( divide both sides by sin70° )

x = [tex]\frac{12}{sin70}[/tex] ≈ 12.8

Answer: its not possible

Step-by-step explanation: there are 17 nickels, 11 dimes and 19 pennies, NO dollars

For this case we have to:

Lewis carries 2 liters of water

Garret carries 1 liter of water

So, Lewis has 1 liter of water more than Garret.

By definition we have that 1 liter equals 1000 milliliters.

Thus, Lewis carries 1000 milliliters more water than Garret.

Answer:

1000 milliliters

Answer:

144 sweets

Step-by-step explanation:

Let

x----> number of sweets that Dan has

y----> number of sweets that Gordon has

z----> number of sweets that Malachy has

we know that

x=48

x/y=4/3----> y/x=3/4 ----> y=(3/4)x

Substitute the value of x

y=(3/4)48=36

x/z=4/5 ----> z/x=5/4 ----> z=(5/4)x

Substitute the value of x

z=(5/4)48=60

therefore

altogether there are  x+y+z=48+36+60=144 sweets

Answer:

First part

The answer is (5 square root 2, 45°), (-5 square root 2, 225°) ⇒ answer (d)

Second part

The equation in standard form for the hyperbola is y²/81 - x²/19 = 1 ⇒ answer(b)

Step-by-step explanation:

First part:

* Lets study the Polar form and the Cartesian form

- The important difference between Cartesian coordinates and

  polar coordinates:

# In Cartesian coordinates there is exactly one set of coordinates

  for any given point.

# In polar coordinates there is an infinite number of coordinates

   for a given point. For instance, the following four points are all

   coordinates for the same point.

# In the polar the coordinates the origin is called the pole, and

  the x axis is called the polar axis.

# The angle measurement θ can be expressed in radians

   or degrees.

- To convert from Cartesian Coordinates (x , y) to

  Polar Coordinates (r , θ)

# r = ± √(x² + y²)

# θ = tan^-1 (y / x)

* Lets solve the problem

- The point in the Cartesian coordinates is (5 , 5)

∵ x = 5 and y = 5

∴ r = ± √(5² + 5²) = ± √50 = ± 5√2

∴ tanФ = (5/5) = 1

∵ tanФ is positive

∴ Angle Ф could be in the first or third quadrant

∵ Ф = tan^-1 (1) = 45°

∴ Ф in the first quadrant is 45°

∴ Ф in the third quadrant is 180 + 45 = 225°

* The answer is (5√2 , 45°) , (-5√2 , 225°)

Second part:

* Lets study the standard form of the hyperbola equation

- The standard form of the equation of a hyperbola with  

  center (0 , 0) and transverse axis parallel to the y-axis is

  y²/a² - x²/b² = 1, where

• the length of the transverse axis is 2a

• the coordinates of the vertices are (0 , ±a)

• the length of the conjugate axis is 2b

• the coordinates of the co-vertices are (±b , 0)

•      the coordinates of the foci are (0 , ± c),  

• the distance between the foci is 2c, where c² = a² + b²

* Lets solve our problem

∵ The vertices are (0 , 9) and (0 , -9)

∴ a = ± 9 ⇒ a² = 81

∵ The foci at (0 , 10) , (0 , -10)

∴ c = ± 10

∵ c² = a² + b²

∴ (10)² = (9)² + b² ⇒ 100 = 81 + b² ⇒ subtract 81 from both sides

∴ b² = 19

∵ The equation is  y²/a² - x²/b² = 1

∴  y²/81 - x²/19 = 1

* The equation in standard form for the hyperbola is y²/81 - x²/19 = 1

Answer:

Trapezoid area = ((sum of the bases) ÷ 2) • height

Trapezoid area = (.2 + .6 / 2) * .2

Trapezoid area = (.8 / 2) * .2

Trapezoid area = .4 * .2 = .08

Step-by-step explanation:

Answer:

Step-by-step explanation:

-8 + 6(b - 1) =  -8 +6b-6 = 6b -14

The simplified expression is now 6b - 14.

To simplify the expression -8 + 6(b - 1), you need to distribute the 6 to both terms inside the parentheses and then combine like terms. Here's the step-by-step process:

Multiply 6 by both b and -1 inside the parentheses: 6 * b gives 6b, and 6 * -1 gives -6.

Write out the new expression without the parentheses: -8 + 6b - 6.

Combine the like terms, which are the constants -8 and -6: -8 - 6 equals -14.

The simplified expression is now 6b - 14.

2 bill of 20 and 3 of 1

Answer:

Debit card

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

we know that

The volume of a cone is equal to

[tex]V=\frac{1}{3}BH[/tex]

where

B is the area of the base

H is the height of the cone

we have

[tex]B=7\ in^{2}[/tex]

[tex]H=9\ in^{2}[/tex]

substitute

[tex]V=\frac{1}{3}(7)(9)[/tex]

[tex]V=21\ in^{3}[/tex]

therefore

The answer is True

Answer:

Answer is B me compadres!

Step-by-step explanation:

Yes indeed

Based on the supply-demand graph,  valid possible price for the coffee makers is $25.

The supply-demand graph is a graph that is made up of a demand curve and a supply curve. A demand curve relates the price of a good to the quantity demanded. It is downward sloping. A supply curve relates the price of a good to the quantity supplieed. It is upward sloping.

In order to detemine the price, examine the graph and find the region where total worth is about $375. Looking at the graph, price is $15 becuase total worth is $375(25 x 15)

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ANSWER

D. 6

EXPLANATION

We want to find the y-coordinate of the point of intersection of

-3x+2y=6

and

4x-y=2

Solve for y in equation (2) to get:

y=4x-2

Put y=4x-2 into the first equation:

-3x+2(4x-2)=6

-3x+8x-4=6

-3x+8x-4=6

[tex]5x=10[/tex]

Divide both sides by 5 to get

x=2

This implies that:

y=4(2)-2

y=8-2=6

Answer: your mum gay

Step-by-step explanation:

Answer:

Charles spend [tex]20\%[/tex] of his money on the hot dog

Step-by-step explanation:

In this problem we have that

$15 represent the 100% o the money

so

using proportion

Find out what percentage 3 dollars represents

[tex]\frac{15}{100}=\frac{3}{x}\\ \\x=100*3/15\\ \\x=20\%[/tex]

Answer it depends

Step-by-step explanation: how much are there a pice or how much are all 9 . 72-9= 63

But the cost of 1 bracelet is $7

Answer:  1) 0.10

               2) 0.60

               3) 0.20

               4) 0.10

Step-by-step explanation:

The total frequency is 20+120+40+20 = 200.  This means they ran the experiment 200 times.  The probability distribution is calculated by the satisfactory number of outcomes (frequency) divided by the total number of experiments/outcomes (total frequency):

[tex]\begin{array}{c|c||lc}\underline{x}&\underline{f}&\underline{f\div 200}&\underline{\text{Probability Distribution}}\\1&20&20\div200=&0.10\\2&120&120\div 200=&0.60\\3&40&40\div 200=&0.20\\4&20&20\div 200=&0.10\end{array}\right][/tex]

Final answer:

In this Biology question, a veterinarian is investigating the possible causes of enteroliths in horses and suspects that feeding alfalfa may be responsible. She conducted a study to estimate the proportion of horses with enteroliths who are fed two or more flakes of alfalfa per day.

Explanation:

The subject of this question is Biology. The veterinarian is investigating the possible causes of enteroliths in horses and suspects that feeding alfalfa may be to blame. She wants to estimate the proportion of horses with enteroliths who are fed at least two flakes of alfalfa per day.

She conducted a study where she sampled 62 horses with enteroliths and found that 42 of them are fed two or more flakes of alfalfa. She estimates the standard error to be 0.0594.

Answer:

A(2,15)

Step-by-step explanation:

Plug it in on the desmos calculator!!! Put the equation first and then add the points and see which one touches the line.

The ordered pair which is on the graph of the given function is (2, 15).

Given: Function

y = 8x - 1

Now, among the given ordered pair (x, y), the pair that satisfies the given function is the point on the graph.

Option (A): (2, 15)

⇒ y = 8x - 1

⇒ 15 = 8(2) - 1

⇒ 15 = 16 - 1

⇒ 15 = 15

Hence, this ordered pair is on the graph of the given function.

This option is correct.

Option (B): (8, -1)

⇒ y = 8x - 1

⇒ -1 = 8(8) - 1

⇒ -1 = 64 - 1

⇒ -1 ≠ 63

Hence, this ordered pair is not on the graph of the given function.

This option is incorrect.

Option (C): (8, 1)

⇒ y = 8x - 1

⇒ 1 = 8(8) - 1

⇒ 1 = 64 - 1

⇒ 1 ≠ 63

Hence, this ordered pair is not on the graph of the given function.

This option is incorrect.

Option (D): (15, 2)

⇒ y = 8x - 1

⇒ 2 = 8(15) - 1

⇒ 2 = 120 - 1

⇒ 2 ≠ 119

Hence, this ordered pair is not on the graph of the given function.

This option is incorrect.

Therefore, (2, 15) is the only ordered pair on the graph of the given function.

Hence, Option (A) is correct.

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Answer:

Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)(area of base)(height).  If the radius is always equal to the height of the cone, then V = (1/3)(πh²)(h), where we have eliminated r.  Shortened, this comes out to V = (1/3)(π)(h³).  

We want to know how fast h is increasing when h = 3 ft.

Taking the derivative dV/dt, we get dV/dt = (1/3)π(3h²)(dh/dt), or, in simpler terms, dV/dt = πh²(dh/dt).  Set this derivative = to 27 ft³/min and set h = 3 ft.

Then 27 ft³/min = π(3 ft)²(dh/dt) and solve for dh/dt:  (3/π) ft/min = dh/dt when h = 3 ft.

Answer:

Y=-3x+4

Step-by-step explanation:

The Slope is -3 and the Y intercept is +4

Answer:

-3

Step-by-step explanation:

We can find the slope of a line by finding 2 points

(0,4) and (2,-2) are two points on the line

m = (y2-y1)/(x2-x1)

   = (-2-4)/(2-0)

   = -6/2

   =-3

Answer:

No se, lo siento

Step-by-step explanation:

Answer:

noswe:C  perdon  

Step-by-step explanation:

Answer:

c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean

Step-by-step explanation:

In a normal distribution, the shape is bell-shaped; this means it is symmetric.

The area under a normal distribution will always be equal to 1.

The mean, median and mode in a normal distribution are equal.

However, the data assumes values within 1 standard deviation above or below the mean 68% of the time, not 99.72% of the time.  This is the characteristic that doesn't fit.

The statement which is not a characteristic of the normal distribution is:

c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean.

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Answer: hey, the answer will be choice number 2 or b

Step-by-step explanation:

For this case we have that, by definition, the volume of a cylinder is given by the following formula:

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

Where do we have to:

A: It's the radio

h: It's the height

We have to:

[tex]h = 3\\r = 8[/tex]

Substituting the values we have:

[tex]V = \pi * (8) ^ 2 * 3\\V = \pi * 64 * 3\\V = 192 \pi \ units ^ 3[/tex]

Answer:

Option C

Answer:

7 miles west of the city hall

Step-by-step explanation:

The city hall on a coordinate plane is at the origin (0, 0).  That means that if the library is 3 miles straight east, its coordinates are (3, 0).  If the mall is 10 miles straight west of the library, we find its coordinates by subtracting 10 from 3, which puts us at the coordinate (-7, 0).  That means that the mall is 7 miles west of the city hall.

Answer:

[tex]\boxed{\text{seven miles west}}[/tex]

Step-by-step explanation:

Think of this as a number line in which city hall is at 0.

East of city hall is the positive direction and west is negative.

Start at city hall and go three miles east to the library. You are at +3.

Then go 10 mi west to the mall. You end up at -7.

+3 – 10 = -7

[tex]\text{The mall is \boxed{\textbf{seven miles west}} of city hall.}[/tex]

Answer:

y = -x + 2

Step-by-step explanation:

We first need to find the derivative of the equation x² + xy + y² = 3. this is done with implicit differentiation

2x + y + xy' + 2yy' = 0

Get terms with y' to one side, and the other terms to the other side of the equals sign...

xy' + 2yy' = -2x - y

Factor out y'...

y'(x + 2y) = -2x - y

Divide both sides by x + 2y

y' = (-2x - y)/(x + 2y)

This is the formula for the slope of the lines tangent to the curve of the original function.

Plug in the given point (1, 1) to find the slope of this

y' = (-2[1] - 1)/(1 + 2([1])

y' = -3/3

y' = -1

To find the equation of the line:

The general form for a linear equation in slope-intercept form is  

y = mx + b where m is the slope and b is the y-intercept

Use what we know about our line to solve the rest. By using one of the given points, we have 3 of the 4 variables in the above equation. Pick either point, it doesn't matter which one. We'll use (1, 1), which is (x, y), and we know that  

m = -1

The equation becomes...

1 = -1(1) + b (now solve for b)

1 = -1 + b

2 = b  

Plug that value into the general form...

y = -x + 2

See attached photo for the graphs of the original equation, and the graph of the tangent line at (1, 1)