If 6x – 9
= x, what is the value of x ?
Α.0
B3
C 6
D9
E I would be guessing.

Answer:

188 ft

Step-by-step explanation:

         helicopter

___________________________________________

               |\   54°

               |    \

               |       \    320 ft

               |          \

               |      54°  \

-------------+--------------+-------------------------------

                        x

cos 54° = x/(320 ft)

x = 320 ft × cos 54°

x = 188 ft

Answer: 188 ft

The equation represents an elongated ellipse with the focus at the origin, eccentricity 1/5, and the directrix at y = 8 sec. The parameter "a" in the equation represents the length of the semi-major axis of the ellipse.

To find a polar equation for the ellipse, we can use the definition of an ellipse in terms of its focus, eccentricity, and directrix. Let's break down the steps to determine the polar equation:

1. The focus of the ellipse is given as (0, 0), which is the origin.

2. The eccentricity of the ellipse is given as 1/5. The eccentricity of an ellipse is the ratio of the distance between the focus and a point on the ellipse to the distance between the corresponding point and the directrix. In this case, the eccentricity is less than 1, indicating an elongated ellipse.

3. The directrix of the ellipse is given as y = 8 sec. The directrix is a line perpendicular to the major axis of the ellipse and at a distance equal to the eccentricity away from the center. The equation y = 8 sec means that the directrix is a vertical line located at a distance of 8 units above the x-axis.

4. To determine the polar equation, we need to express the distance from any point on the ellipse to the focus and the distance from the same point to the directrix. Let's denote the distance to the focus as r and the distance to the directrix as d.

5. Given that the eccentricity is 1/5, we have the equation:

r / d = 1/5

6. Using the properties of the ellipse, we know that the sum of the distances from any point on the ellipse to the focus and the directrix is constant. In this case, the sum is given as 2a, where a is the semi-major axis.

7. Since the focus is at the origin, the distance to the focus is simply r, and the distance to the directrix is d + 8 (since the directrix is located 8 units above the x-axis).

8. Combining the equations, we have:

r + (d + 8) = 2a

9. Substituting r / d = 1/5, we can solve for r:

r + (5r - 40) = 2a

6r = 2a + 40

r = (a + 20)/3

10. Finally, we have the polar equation for the ellipse:

r = (a + 20)/3

The equation represents an elongated ellipse with the focus at the origin, eccentricity 1/5, and the directrix at y = 8 sec. The parameter "a" in the equation represents the length of the semi-major axis of the ellipse.

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The volume of the paper cone will be 54.45 cubic inches.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the Cuboid.

The volume of the cone will be calculated by using the formula below:-

V = ( 1 / 3 ) π r²h

Where r is the radius of the cone and h is the height of the cone. It is given that the radius of the cone is 2 inches and the height of the cone is 13 inches.

V = ( 1 / 3 ) x π x ( 2 )² x 13

V = 54.45 cubic inches.

Therefore, the volume of the paper cone will be 54.45 cubic inches.

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Answer:

Can not be determined

Step-by-step explanation:

regularly, you would +20 to both sides, but without a full =, you cant solve. If the equation is 6x-20=0, x would equal 3 2/6.

Hope this helps!

Answer:

Tom wont need a longer ladder.

Step-by-step explanation:

Answer:

No the ladder is long enough.

Step-by-step explanation:

30x30=900

4x4=16

Sq. Root of (900+16)= 30.27ft distance from the ground to the roof, 4 ft away from the house.

Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

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If the garage is in the shape of a rectangle then the coordinates of point D:  (3, 2)

The lengths of the two opposite sides are equal.

The angles are all right angles (90 degrees).

The opposing sides are congruent and parallel (i.e., they have the same length).

Diagonals bisect each other.

Find the midpoint of AC:

x-coordinate: (0 + 7)/2 = 7/2

y-coordinate: (0 + 4)/2 = 2

Therefore, the midpoint of AC is M(7/2, 2).

The mid-point of BD will be also same,

suppose the coordinates of the D is (x, y)

So, it can be written as

(x + 4)/2 =  7/2

x + 4 = 7

x = 3

(y + 6)/2 = 2

y + 6 = 4

y =2

Hence, the coordinates of D is (3, 2)

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Answer:

2y( 3x-1)(3x+1)

Step-by-step explanation:

18x^2y-2y

Factor out the greatest common factor 2y

2y( 9x^2 -1)

The term in the parentheses is the difference of squares

a^2 - b^2 = (a-b)(a+b)

2y( 3x-1)(3x+1)

Answer:

8x-9=4

Step-by-step explanation:

nine less than means minus 9

the product of 9 and a number is 9(insert letter as variable)

is equal to four means =4

Answer:

Step-by-step explanation:

4. angle  3= 117, angle 4 and angle 2=63

5. angle 4= 59, angle 1 and 3= 121

6. angle 2= 88, angle 1 and angle 3= 92

The negative rational numbers are -9/ 4, -20/ 3 . Option A and B

A rational number can be defined as a number that is expressed as a fraction where both the numerator and the denominator are integers.

Examples of rational numbers are;

-1/ 2, 3/ 5, 9/ 2 -3/ 5

Given the expressions;

The rational numbers are -9/4 , -20/ 3 , 5/4

Thus, the negative rational numbers are -9/ 4, -20/ 3 . Option A and B

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The image point of A ( -7 , 4 ) after a translation of left by 3 units and up by 5 units is ( -10 , 9 )

What is Translation?

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the point be A ( x₁ , y₁ ) be = A ( -7 , 4 )

Now , the translation of point A ( -7 , 4 ) by left 3 units is

A ( -7 - 3 , 4 )

Now , the new point after the translation by left 3 units

A' ( -10 , 4 )

And the translation of point A' ( -10 , 4 ) by up 5 units is

A'' ( -10 , 4 + 5 )

Now , the new point after the translation up by 5 units is

A'' ( -10 , 9 )

So , the image after the translation of left by 3 units and up by 5 units is

A'' ( -10 , 9 )

Hence , the image after translation is is A ( -10 , 9 )

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Answer:

Use cross-multiplication to solve these

The area divided by XYZ is 16/9

i.e. \(\frac{A}{[XYZ]} = \frac{16}{9}\)

The given parameters can be represented as:

\(r = -\frac{4}{3}\) --- the ratio of dilation

The area of the second triangle is as follows:

\(A =r^2 * \triangle XYZ\)

Make \(r^2\) as subject

\(r^2 = \frac{A}{\triangle XYZ}\)

Substitute value for \(r^2\)

\((\frac{4}{3})^2 = \frac{A}{\triangle XYZ}\)

\(\frac{16}{9} = \frac{A}{\triangle XYZ}\)

Rewrite as:

\(\frac{A}{\triangle XYZ} = \frac{16}{9}\)

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Answer:

Step-by-step explanation:

Let each side of triangle XYZ have length s. We therefore have:

s = YZ = YQ + QR + RZ = x + 2y

Since each side of triangle X1 Y2 Z2 is 3/4 the length of the corresponding side of triangle XYZ, we have:

3/4s = X1 Z1 = X1 Q + QP + P Z1 = 2x +y.

The system of equations:

x + 2y = s

2x + y = 3/4s

Multiply the second equation by 2, then subtract the first equation.

3x = 1/2s, so x = 1/6s.

Now we have y = 3/4s-2x = 5/12s.

A/[XYZ] = [XYZ] - 3[YPQ]/[XYZ]

= {[XYZ] - 3[(25)/144] * [XYZ]} / [XYZ]

={23/48* [XYZ]} / [XYZ]

= 23/48

Answer:  The answer is D. 16.57

Step-by-step explanation:

First, you do 2.86+1.57 = 4.43. Then you do 20-4.43. You then get the answer. P.S this is answered by a 7th grader so my step-by-step explanation is kinda bad.

Answer:

AWWEEE i cried when my favorite history teacher left. honestly i couldn't get over it for a while but it'll be okay!! but write about how he helped you in school and why he was your favorite and stuff yk

Answer:

Just distract yourself with things to do you will forget

Step-by-step explanation:

Answer:

I think the answer is 96

Step-by-step explanation:

I think that u have to multiply eight times ten. The you add twelve and that is how I got the answer of 96. I am pretty sure that it is correct but just i case I am sorry if u don't get it right.

Answer:

100

Step-by-step explanation:

the formula is b1+b2 divided by 2 times the height. 8+12=20 divided by 2 is 10 times 10 is 100.

Answer:They are all Less Than

Step-by-step explanation:

Answer:

B (35)

Step-by-step explanation:

5 * 3 = 15

5 * 4 = 20

20+15= 35

Answer:

B) 35

Step-by-step explanation:

Solve the equations inside the parenthesis first

so 3 + 4  = 7

now multiply 7 x 5 = 35

Answer:     a1=1/2;an=-4an-1

Step-by-step explanation: The last one

Answer:39084620

Step-by-step explanation:

New questions in Mathematics

19 ft 4 ft l Find l. l = √ [?] ft

flying against the jet stream, a jet travels 3000 in 3 hours. Flying with the jet stream, the same jet travels 5360 miles in 4 hours. What is the rate…e of the jet in still air and what is the rate of the jet stream?

Please help! Express the area of the region bounded by the x-axis, y = 1/2x - 2, and y equals the cubed root of x, using definite integrals.

Solve the equation 7/4x-2=-5x+1

How to Convert 11010112 to base 10?

Answer the following. (a) A certain solution has a hydrogen ion concentration of 0.00000896 moles per liter. Write this number in scientific notation…. (b) A humpback whale can weigh up to ×1.1105 pounds. Write this number in standard notation.

Evaluate the expression if a=2,b=-3,C=-1, and D=4 -2(b^2-5c)

Evaluate the expression if a=2,b=-3,C=-1, and D=4 -2(b^2-5c)

The set of all triples of real numbers with the standard vector addition but with scalar multiplication defined by k(x, y, z) = (k2 x,k2 y,k2 z)

Evaluate each expression if a=2,b=-3,C=-1, and d=4 5+d(3b-2d)

It is expected that the event of drawing both cards as red will occur 108 times in 300 simulations.

We have,

In the given deck, there are 3 red cards and 2 yellow cards.

When drawing with replacement, the probability of drawing a red card on the first draw is 3/5,

and the probability of drawing a red card on the second draw is also 3/5.

So, the probability of drawing two red cards in one simulation

= (3/5) x (3/5)

= 9/25.

Now, Number of occurrences

≈ Probability of the event x Number of simulations

≈ (9/25) x 300

≈ 108

Therefore, it is expected that the event of drawing both cards as red will occur 108 times in 300 simulations.

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The derivative of f(g(x)) with respect to x is  f'(1/x).

The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, group of assets, or benchmark.

Given that, g(x)=ln x

Differentiation of ln x = 1/x

Hence, The derivative of f(g(x)) with respect to x is  f'(1/x).

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7h-15h+40=-72

40+72=15h-7h

112=8h

h=14

Step-by-step explanation:

In 8 hours temperature different is 20

so average rate is=20/8

2.5

Answer:

Step-by-step explanation:

i hope this answer helpful for you

If Homer can travel the same distance on the moving walkway as he can on the floor in the same amount of time, then his walking speed and the speed of the moving walkway must be the same. Therefore, Homer's walking speed is 4 mph.

Let's say that the distance Homer needs to travel to get to his gate is D. If he walks on the floor next to the moving walkway, he will travel this distance at his walking speed, which we'll call W. If he walks on the moving walkway, he will travel this distance at the speed of the walkway plus his walking speed, or W + 4 mph.

Since the time it takes for Homer to travel the distance D is the same in both cases, we can set the two equations equal to each other:

D/W = D/(W + 4)

Cross-multiplying gives us:

D(W + 4) = DW

Distributing the D gives us:

DW + 4D = DW

Subtracting DW from both sides gives us:

4D = 0

Dividing both sides by 4 gives us:

D = 0

Since the distance D cannot be zero, this means that the only way for the two equations to be equal is if W and the speed of the moving walkway are the same. Therefore, Homer's walking speed is 4 mph.

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The total surface area of the triangular prism is: 111 ft²

To find the total surface area of the given triangular prism, we will find the area of all the surfaces and add it up.

Formula for the area of a rectangle is:

Area = Length * Width

Area of a triangle is:

Area = ¹/₂ * base * height

Thus:

Total Surface area = 2(¹/₂ * 3 * 7) + (7 * 5) + (8 * 5) + (3 * 5)

Total Surface area = 21 + 35 + 40 + 15

Total Surface area = 111 ft²

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A. Grow wheat in the sunshine, instead of the shade, or make sure that the wheat in the shade gets light.

B. This would overcome the problem of the slugs eating the wheat.

C. Yes, it would.

There are 2.25 distinct 2-colored necklaces of length 4, up to rotation. Since we cannot have a fractional number of necklaces, we round up to get a final answer of 3.

A necklace is made by stringing together beads in a circular shape. A 2-colored necklace is a necklace where each bead is painted either black or white. How many distinct 2-colored necklaces of length 4 are there? Two colorings are considered identical if they can be obtained from each other by rotation.Let's draw a table to keep track of our count:Each row in the table represents one way to color the necklace, and each column represents a distinct necklace.

For example, the first row represents a necklace where all the beads are black, and each column represents a distinct rotation of that necklace.We start by counting the necklaces where all the beads are the same color. There are 2 of these. We then count the necklaces where there are 2 beads of each color. There are 3 of these.Next, we count the necklaces where there are 3 beads of one color and 1 bead of the other color. There are 2 of these, as we can start with a black or white bead and then rotate.

Finally, we count the necklaces where there are 2 beads of one color and 2 beads of the other color. There are 2 of these, as we can start with a black or white bead and then rotate. Thus, there are a total of 2 + 3 + 2 + 2 = 9 distinct 2-colored necklaces of length 4, up to rotation.  Answer: 9There is a better algebraic way to do this without finding all cases: Using Burnside's lemma. Burnside's lemma states that the number of distinct necklaces (up to rotation) is equal to the average number of necklaces fixed by a rotation of the necklace group. The necklace group is the group of all rotations of the necklace.

The average number of necklaces fixed by a rotation is the sum of the number of necklaces fixed by each rotation, divided by the number of rotations.For a necklace of length 4, there are 4 rotations: no rotation (identity), 1/4 turn, 1/2 turn, and 3/4 turn. Let's count the number of necklaces fixed by each rotation:Identity: All necklaces are fixed by the identity rotation. There are 2^4 = 16 necklaces in total.1/4 turn: A necklace is fixed by a 1/4 turn rotation if and only if all beads are the same color or if they alternate black-white-black-white.

There are 2 necklaces of the first type and 2 necklaces of the second type.1/2 turn: A necklace is fixed by a 1/2 turn rotation if and only if it is made up of two pairs of opposite colored beads. There are 3 such necklaces.3/4 turn: A necklace is fixed by a 3/4 turn rotation if and only if it alternates white-black-white-black or black-white-black-white. There are 2 necklaces of this type.The total number of necklaces fixed by all rotations is 2 + 2 + 3 + 2 = 9, which is the same as our previous count. Dividing by the number of rotations (4), we get 9/4 = 2.25.

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