A parabola can be drawn given a focu of (4,8) and a directrix of y=4. What can be aid about the parabola?

Answer

\(168in^{2}\)

Step-by-step explanation:

SA=2(wl+hl+hw)

2·(6·2+9·2+9·6)

=168

A cube with side length of 14 cm has a volume and surface area as follows: Volume of the cube = side length³ = 14³ = 2744 cubic cm. Surface area of the cube = 6 x (side length)² = 6 x 14² = 1176 square cm

The volume of a cube with side length of 14 cm can be found by multiplying the length, width, and height together, which gives 2,744 cubic cm. The surface area can be found by calculating the area of each face of the cube and adding them together, which is 6 times the area of one face. Therefore, the surface area of the cube is 1,176 square cm.

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Answer:

30

Step-by-step explanation:

i think it is the or you wrong

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

Answer:

$0.30

Step-by-step explanation:

6 / 20

0.3

Best of Luck!

Answer:

the cost of 1 marker is $0.30.

Step-by-step explanation:

the ratio of number of markers is 20:6

Let's find an equivalent ratio that shows the cost for 1 marker.

A ratio where one of the terms is 1 is called a unit rate. We can divide the number of markers by 20 to get to 1 marker.

markers  -> cost

$6÷20=$0.30

The cost of 1 marker is $0.30.

Answer:

C

Step-by-step explanation:

based in the graph if x=2 then y=4

Answer:

9

Step-by-step explanation:

this is the other answer if 4 isn't listed

Answer:

129

Step-by-step explanation:

2150

x.06

=129

==================================================

Explanation:

We can rewrite the exponent 9.969 as 9 + 0.9 + 0.06 + 0.009

Then convert each decimal to a fraction

Your teacher is choosing not to reduce any of these fractions.

Then you'll use this rule \(a^{b+c} = a^b*a^c\) to break up the exponent into the pieces mentioned.

So,

\(5^{9.969} = 5^{9 + 0.9+0.06+0.009}\\\\5^{9.969} = 5^{9 + 9/10+6/100+9/1000}\\\\5^{9.969} = 5^{9}\cdot 5^{9/10}\cdot 5^{6/100}\cdot 5^{9/1000}\\\\\)

The nth harmonic number is defined as the sum of the reciprocals of the first n positive integers. We can calculate the nth harmonic number using the formula Hn=1+1/2+1/3+...+1/n.

Sure, I'll be glad to help you out!In mathematics, the nth harmonic number is defined as the sum of the reciprocals of the first n positive integers.

The nth harmonic number is defined to be:

$$H_n=1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{n}$$

Now,  to understand the concept in detail.

For this purpose, let's consider an example:

If we want to find the 5th harmonic number, then we use the formula as shown below:

$$H_5=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$

Simplifying the above expression we get:

$$H_5=\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$$$\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}=\frac{60}{60}+\frac{30}{60}+\frac{20}{60}+\frac{15}{60}+\frac{12}{60}$$$$

=\frac{137}{60}$$

Therefore, the 5th harmonic number is 2.2833.

Now, The nth harmonic number is defined as the sum of the reciprocals of the first n positive integers. We can calculate the nth harmonic number using the formula Hn=1+1/2+1/3+...+1/n.

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Answer: Perimeter → 15.07964474

Area→ 18.09557368

Answer:

What is 5% of 45.22?

That would be about 2.3

Now times that by 4 then there is your answer :)

A club is forming a committee to plan its annual Holiday Dance. One person will serve as Chair of the committee, another will be Vice-Chair and there will be two other members.  this is an example of a combination

Combining is a way of calculating the total score for an event, regardless of the order of the scores. To calculate the combination, use the formula nCr = n! /r! * (n - r)!, where n is the total number of items and r is the number of items selected at one time.

The combination is a mathematical technique that determines the number of possible arrangements within a collection of items, regardless of the order of selection.

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To get System B from System A, you can replace one equation with a multiple of the other equation. Specifically, you can multiply the second equation of System A by 2 and then replace the first equation with the result. So the correct answer is A.

Since we obtained System B by performing a valid operation on System A, the two systems are equivalent and have the same solution. So the correct answer is A. Yes, they have the same solution

Answer:

first i need what operation are you using for example algebra, alebraically, grahphing , quadratic etc.

Step-by-step explanation:

Answer:

you must be so stiupid that you have to use answers ff a website to cheat for school

Step-by-step explanation:

Answer:

Step-by-step explanation:

Biking is x and bussing is y. We know that the total distance is 325. Thus, the first equation in this system is

x + y = 325 (which says that the km traveled by bike plus the km traveled by bus totaled 325 km).

We also know that the pair biked 75 km more than they rode, giving us the second equation in our system:

x = y + 75. Now we use simple substitution and plug y + 75 in for x in the first equation:

(y + 75) + y = 325 and

2y + 75 = 325 and

2y = 250 so

y = 125 km. They rode the bus for 125 km and biked for 325 - 125 which is 200. And the difference is 75 km, as it should be!

The value of x, considering the similar triangles, is given as follows:

x = 6.

Similar triangles are triangles that share these two features given as follows:

There are two similar right triangles in this problem, with equivalent sides given as follows:

Then the proportional relationship for the side lengths is given as follows:

(5x - 3)/[39 - (5x - 3)] = 36/16

Then, simplifying the denominator on the left side, we have that:

(5x - 3)/(42 - 5x) = 36/16

Applying cross multiplication, an equation is built to solve for x as follows:

36(42 - 5x) = 16(5x - 3)

1512 - 180x = 80x - 48

260x = 1560

x = 1560/260

x = 6.

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Answer:

1000 hours

Step-by-step explanation:

∫xf(x)dx = ∫x*xdx (1,0) + ∫x*(8-x)dx (2,1)

∫xf(x)dx = ∫x²dx (1,0) + ∫8x - x²dx (2,1)

∫xf(x)dx = ∫x²dx (1,0) + ∫8xdx (2,1) - ∫x²dx (2,1)

∫xf(x)dx = x³/3(1,0) + 8x²/2 (2,1) - x³/3(2,1)

∫xf(x)dx = 1/3 + 8(4/2 - 1/2) - (8/3 - 1/3)

∫xf(x)dx = 1/3 + 8(2-0.5) - (7/3)

∫xf(x)dx = 1/3 + 8(1.5) - 7/3

∫xf(x)dx = 1/3 + 12 - 7/3

∫xf(x)dx = - 6/3 + 12

∫xf(x)dx = - 2 + 12

∫xf(x)dx = 10

The average number of hours the family runs their vacuum cleaner in units of 100 hours

100 * 10 hours = 1000 hours

The limit as x approaches 0, or lim x → 0 of sin(3x) – 3x + 9/2x3x5 is 9.

This limit, which can be written as Lim, the approach can be evaluated by rewriting or rephrasing the limit as a power series and evaluating the limit from one term to the other limit term. The power series of the sin(3x) is 3x - (9/2)x3 + (27/8)x5 - (81/16)x7 + (243/128)x9 - O(x10). As the x approaches the 0, the higher-order terms are very much negligible as well as the limit itself simplifies to the calculations as given below:

9 – 0 + 9/2 = 9.

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Answer:

1.65

Step-by-step explanation:

Divide 6.6 by 4

The volume of the triangular solid is 128/3 cubic units.

The cross-sections of the triangular solid along the y-axis are equilateral triangles with side length equal to the width of the triangular base at that y-coordinate. The width of the triangular base at y = h is equal to 8 - 4h/4. So, the side length of the equilateral triangle at y = h is 8 - 4h/4.

Let's call the height of the equilateral triangle at y = h as "x". Then, using the Pythagorean theorem, we can find the relationship between x and the side length:

x^2 = (8 - 4h/4)^2 - (x/2)^2

Expanding and simplifying the right-hand side:

x^2 = 64 - 16h + h^2/16 - x^2/4

Multiplying both sides by 4:

4x^2 = 256 - 64h + h^2 - x^2

Solving for x^2:

3x^2 = 256 - 64h + h^2

Taking the square root of both sides:

x = √(256 - 64h + h^2)/√3

So, the height of the equilateral triangle at y = h is equal to x = √(256 - 64h + h^2)/√3.

The volume of the triangular solid can be found by integrating the cross-sectional area over the height of the triangular base:

V = (1/3) ∫[0, 4] x^2(y) dy

= (1/3) ∫[0, 4] (√(256 - 64h + h^2)/√3)^2 dh

= (1/3) ∫[0, 4] (256 - 64h + h^2)/3 dh

Evaluating the definite integral:

V = (1/3) * [(256h/3 - 32h^2/2 + h^3/3) |_0^4]

= (1/3) * [(256/3 * 4 - 32/2 * 4^2 + 4^3/3) - (256/3 * 0 - 32/2 * 0^2 + 0^3/3)]

= (1/3) * (256 - 128 + 64/3)

= 128/3.

Correct Question :

The base of s is the triangular region with vertices (0, 0), (8, 0), and (0, 4). Cross-sections perpendicular to the y-axis are equilateral triangles. What is the volume of the triangular solid.

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Answer:

7 inches

Step-by-step explanation:

formula for a trepezoid is 1/2(a+b)*h

1/2(5+x)X3=18 (now make x the subject)

(5+x)X3=36

5+x=12

x=7

so the other base is 7in

There are 3 cups of ketchup for every 1/2 cup of mustard, then the rate in cups of ketchup per cup of mustard is:

3÷1/2 = 3*2 = 6 cups of ketchup per cup of mustard

Answer:

The answer is D

Step-by-step explanation:

x√{5^2+8^2}=√89

Answer:

\(\boxed{\tt x=\sqrt{89} }\)

Step-by-step explanation:

We'll use the Pythagorean Theorem

Equation: \(\tt a^2+b^2=c^2\)

where a and b are the lengths of the two legs of triangle, and c is the hypotenuse.

*A and b can be switched because they are legs*

\(\tt a^2+b^2=c^2\)

Plug in the side lengths:

\(\tt 5^2+8^2=x^2\)

Evaluate 5^2 and 8^2:

\(\tt 25+64=x^2\)

Add 25 and 64 = 89

\(\tt 89=x^2\)

Now, take the square root of each side:

\(\tt x=\sqrt{89} \)

_____________________________

Thus, the area of the dodecagon having a radius of 3.4 units is ofund as :

Area = 36.2984 sq. units.

A 12-sided polygon that encloses space is called a dodecagon. Regular dodecagons have equal internal angles and sides on all faces. They could also be asymmetrical, with various angles and sides that differ in size. A convex dodecagon is one that has no vertex pointing inward and no interior angles higher than 180 degrees.

Area of a regular dodecagon when side is given

A = 3 × ( 2 + √3 ) × s² ,

Area of a regular dodecagon when side radius is given:

Area = π*r²

Given data: radius r = 3.4 units

Area = 3.14 * 3.4²

Area = 3.14 * 11.56

Area = 36.2984 sq. units

Thus, the area of the dodecagon having a radius of 3.4 units is ofund as :

Area = 36.2984 sq. units.

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The required solution of the given simultaneous equations are x = 2, 3 and y = 3,9.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Now the given simultaneous equations are,

y = x^2    ...(i)

y = x + 6  .....(ii)

Equating (i) and (ii) we get,

x^2 = x + 6

or, x^2 - x - 6 = 0

Solving we get,

x^2 - 3x - 2x - 6 = 0

⇒ x(x - 3) -2(x - 3) = 0

⇒ (x - 2)(x - 3) = 0

So, x = 2, 3

Putting x = 2, 3 in equation (i) we get,

y = 2^2

⇒ y = 4

and,

y = 3^2

⇒ y = 9

Thus, y = 3,9

Thus the required solution of the given simultaneous equations are x = 2, 3 and y = 3,9.

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The total distance rose traveled by the tenth day's end is 117km

Rose went on a hiking trip, on the 1st day she walked a distance of 18kilometers.

It states that each day she walks 90% of the distance she walked the day before.

Similarly, on the next day she walked 90% of the distance she walked the day before.

We need to find the distance walked by her on an nth day is;

dₙ = d₁* rⁿ⁻¹

From the above formula;

Distance covered on second day = d₂ = 0.90(d1)

                                                               = 0.90(18) = 16.2

Similarly for day three = d₃ = 0.90(d₂)

                                            = 0.90(16.2) = 14.58

Since as d₁ = 18 and r = 90% = 0.90

The final answer on the tenth day makes it n = 10;

The total sum of distance covered by rose;

∑dₙ = d₁ * (1-rⁿ / 1-r)

∑d₁₀ = 18 * (1 - 0.90¹⁰ / 1 -0.90)

∑d₁₀ = 117km

The total distance rose traveled by the tenth day's end is 117km.

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Answer:

I would choose A as the right answer

The z-score for a raw score of 6 is 0.5.A z-score indicates how many standard deviations a raw score is away from the mean.

To calculate the z-score for a raw score of 6 given a mean of 4 and a standard deviation of 4, we can use the formula:

z = (raw score - mean) / standard deviation

Substituting the values into the formula, we get:

z = (6 - 4) / 4

z = 0.5

Therefore, the z-score for a raw score of 6 is 0.5.

In this case, a z-score of 0.5 indicates that the raw score of 6 is half a standard deviation above the mean of 4.

Z-scores are useful because they allow us to compare scores from different distributions. For example, if we have two sets of data with different means and standard deviations, we can convert them into z-scores to compare them directly. A positive z-score means that the raw score is above the mean, while a negative z-score means that the raw score is below the mean. The magnitude of the z-score indicates how far the raw score is from the mean in terms of standard deviations.

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