A point has the coordinates (0, k).

Which reflection of the point will produce an image at the same coordinates, (0, k)?

The percentage increase of the value of Tessa's stock is 21%.

Using this formula

Percentage increase=Current stock worth-Old stock worth/Old stock worth

Where:

Current stock worth=$297.66

Old stock worth=$246.00

Let plug in the formula

Percentage increase=$297.66 - $246.00 / 246.00 × 100

Percentage increase=$51.66/ 246.00 × 100

Percentage increase=21%

Inconclusion the percentage increase of the value of Tessa's stock is 21%.

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Answer:

Area = 1/2*(16+4)*5

= 50 yd²

Step-by-step explanation:

Hope it helps you......

Step-by-step explanation:

I guess you mean 1cm:100000cm

Hence, for every 1 cm on the map 100000 cm is covered on the land.

Take the distance on the map for 20 km be x

Hence, 1:100000:: x: 2000000 cm

In order to solve this ratio, you must multiply the extremes and the moderates (nears).

Hence, 2000000×1=100000×x [1km=100000 cm]

Hence, 2000000= 100000x

Hence, x=2000000/100000 cm

Hence, x=20 cm

Hence, 20 cm on the map

V = πr^2h

V1 = π14/2^2•9
V1 = π7^2•9

V1 = π49•9

V1 = 1,385.442360233099

V2 = π6/2^2•9

V2 = π3^2•9

V2 = π9•9

V2 = 254.4690049407733

V = V1 - V2

V = 1,385.442360233099 - 254.4690049407733

V = 1,130.973355292326 or 1,130.97

Thus, the volume of the cylinder is 1,130.97cm^3.

There is no solution to the system. This means that the equation 2 = -2 in the system is inconsistent.

What is a system of equations?

A system of equations is a collection of two or more equations that are solved simultaneously. Each equation in the system represents a constraint or condition that must be satisfied, and a solution to the system is a set of values that satisfies all of the equations in the system simultaneously.

If you attempt to solve a system of equations and you get a statement like 2 = -2, it means that the equations in the system are inconsistent. An inconsistent system of equations has no solution because there is no set of values that can simultaneously satisfy all of the equations.

Hence, as these equations are contradictory, there is no solution to the system. This means that the equations in the system are inconsistent.

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The area of the rectangle is 3/4 square meters

From the question, we have the following parameters that can be used in our computation:

Width = 1/2 meters

Length = three times longer

This means that

Length = 3 * 1/2

The area of the rectangle is then calculated as

Area = Length * Width

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 3 * 1/2

Evaluate

Area = 3/4

Hence, the area is 3/4 square meters

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The number of degrees counterclockwise that Kevin needs to reach the original position will be 58°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

Let the angle be 'x'. Then the equation is given as,

x + 13° = 71°

x = 71° - 13°

x = 58°

The number of degrees counterclockwise that Kevin needs to reach the original position will be 58°.

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To evaluate the expression arcsin(-3√2) over the interval [-π/2,π/2], we need to find the angle θ that satisfies sin(θ) = -3√2.

Since sin is negative in the second and third quadrants, we can narrow down the possible values of θ to the interval [-π, -π/2) and (π/2, π].

To find the exact value of θ, we can use the inverse sine function, also known as arcsine:

θ = arcsin(-3√2) = -1.177 radians (rounded to three decimal places)

Since -π/2 < θ < π/2, the angle θ is within the given interval [-π/2, π/2].

Therefore, the evaluated expression is -1.177 radians.

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the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute, is approximately 0.081 or 8.1%.

How to solve?

To solve this problem, we can use the Poisson distribution, which models the probability of a certain number of events occurring in a fixed interval of time or space, given the expected rate of occurrence.

Let lambda be the expected rate of customer arrivals per minute. If exactly two customers arrive in the first minute, then the expected number of customers to arrive in three minutes is lambda ×3. We can use this expected value to calculate the probability of at least seven customers arriving in three minutes:

P(X ≥ 7 | X ~ ∝(λ×3))

= 1 - P(X ≤ 6 | X ~ ∝(λ×3))

= 1 - ∑[k=0 to 6] (e²(-λ3) ×(lλ3)²k / k!)

where e is the mathematical constant approximately equal to 2.71828, and k! denotes the factorial of k.

To find lambda, we can use the fact that exactly two customers arrive in the first minute. The Poisson distribution assumes that the number of events in a fixed interval of time or space follows a Poisson distribution with parameter lambda, which represents the expected rate of occurrence. Therefore, lambda is equal to the number of customers arriving per minute, which is 2.

Substituting lambda = 2 into the formula, we get:

P(X ≥ 7 | X ~ ∝(2×3))

= 1 - P(X ≤ 6 | X ~ ∝(6))

= 1 - ∑[k=0 to 6] (e²(-6) ×6²k / k!)

Using a calculator or computer software, we can evaluate this expression to get:

P(X ≥ 7 | X ~ ∝(6)) ≈ 0.081

Therefore, the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute, is approximately 0.081 or 8.1%.

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Answer:

857.96

Step-by-step explanation:

964/100=9.64

9.64x11=106.04

964-106.04=857.96

Answer:

4√5

Step-by-step explanation:

if this isnt the answer u needed lmk!!

Answer: 100 = 10d + 5

Step-by-step explanation:

Dolls are sold for $10 each so when checking the total amount made from the sale of d dolls you will multiply d by the price of each doll:

= 10 * d

= 10d

There is a $5 charge for shipping but this is one time so it is added to the total price of d dolls:

= 10d + 5

The total made was $100 so the equation above should equal $100:

100 = 10d + 5

Answer:

\((12 \div 3)(2 - (18 \div 32) \\ = 4(2 - \frac{19}{16} ) \\ = 4( \frac{23}{16} ) \\ = \frac{23}{4} \\ since \: (4 \div 2) = 2 \\ \frac{23}{4} is \: not \: < 2 \: but \: its \: > 2\)

We have that the price of a regulat CD is $10.25

The store sells 205 CDs a day.

For each $0.8 increase in price, we have that the ammount of sold CDs decreasy by 8.

From this, we calculate the ammount of money they make each time they add $0.8 taking into account the disminution in buyers:

$10.25*205 = $2102.25

$11.05*197 = $2176.85

$11.85*189 = $2239.65

$12.65*181 = $2289.65

$13.45*173 = $2326.85

And we keep doing this until we get:

$15.05*157 = $2362.85

$15.85*149 = $2361.65

Now, from this we can see that the maximum value is between those prices, that since the total earning start to lower instead of increase. And since we also have that for each 0.8 increase in price we get 8 less buyers, we can deduce that for each 0.1 increase in price we get 1 less buyer. Therefore we proceed to determine in which price between $15.05 and $15.85 we get the maximum ammount of money:

$15.15*156 = $2363.4

$15.25*155 = $2363.75

$15.35*154 = $2363.9

$15.45*153 = $2363.85

From this, we have that the optimal price is $15.35 for ech CD. That, since it gives the maximum ammount of money before it starts to decrease.

Answer:

D

Step-by-step explanation:

as we can easily see, the x-coordinates of all points increased by 7.

so, we need a solution with "x+7". that eliminates B and C.

with that transition (glide) the triangle moved to the right into the 4th quadrant.

and now, as a second step, it needs to move up, above the x-axis, into the 1st quadrant.

and that is a reflection across the x-axis.

a reflection across the y axis would bring it back into the 3rd quadrant, where it started.

so, it is D.

The value of x is x > 2.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Any number can be expressed as fractions.

The given expression is \(\frac{5}{6}\)x - \(\frac{1}{3}\) > 1 \(\frac{1}{3}\)

We have to rewrite the expression with x on one side.

\(\frac{5}{6}\)x - \(\frac{1}{3}\) > 1 \(\frac{1}{3}\)

\(\frac{5}{6}\)x > 1 \(\frac{1}{3}\) + \(\frac{1}{3}\)

\(\frac{5}{6}\)x > \(\frac{4}{3}\) + \(\frac{1}{3}\)

\(\frac{5}{6}\)x > \(\frac{5}{3}\)

x > \(\frac{5}{3}\) × \(\frac{6}{5}\)

x > 2

So the value of x is greater than 2.

Hence the correct option is x > 2.

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Answer:

2 1/4

Step-by-step explanation:

18 fl oz= 2 1/4 or 2.25 cups

Answer:

384 cu. ft.

Step-by-step explanation:

the formula for volume of a triangular prism

\( = \frac{1}{2} a.c.h\)

you can see what a, c and h represent by checking the image attached

volume =

\( \frac{1}{2} \times 8 \times 8 \times 12\)

384 cu. ft.

Answer:

\(V=1/2\times8\times8\times12\)

\(V=384~ cubic~ ft.\)

○●○●○●○●○●○●○

Hope it helps...

Have a great day!!!

Answer:

Step-by-step explanation:

Volume=4/3×πr³=4/3×π×6.5³=1098.5/3 ×π≈1150.35 km³

Answer:

C. 46.06

Step-by-step explanation:

It's the volume of a sphere/2 plus volume of a cone

The sum of the first six terms of the given series is 31.99.

A list of elements or objects that have been arranged sequentially is referred to as a sequence.

The total of all the terms in a sequence can be used to very broadly define a series. All of the terms in the sequence must, however, clearly relate to one another.

The given sequence is 4, 10, 2.5, 0.625, . . .

Every successive term in given series is divided by 4, and the so the first six terms of the series are:

\(\frac{40}{4} = 10\\ \\ \frac{10}{4} = 2.5 \\\\\frac{2.5}{4}= 0.625\\ \\\frac{0.625}{4} = 0.156\\\\\frac{0.156}{4}= 0.039\\\\\frac{0.039}{4}= 0.0097\)

Also, every even term in the series is subtracted from the previous term.

Adding all the given terms we have:

\(40-10+2.5-0.625+0.156-0.039 = 31.99\)

Hence the sum of the first six terms of the series is 31.99.

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The best option for simulating a fair coin toss using a random digit table is to choose the first 10 digits in the table and record the number of heads and tails based on specific digit assignments.

In this case, let the digits 0, 1, 2, 3, 4, and 5 represent heads, while digits 6, 7, 8, and 9 represent tails. This approach ensures a balanced representation of both outcomes and maintains fairness in the simulation.

By continuing to choose batches of 10 digits from the random digit table, a total of 100 times, one can record the number of heads and tails. This method allows for a larger sample size, increasing the accuracy of the simulation. It is important to note that the random digit table should be truly random, ensuring unbiased results.

Using this approach provides a reliable way to simulate a fair coin toss, as it mimics the randomness and equal likelihood of heads and tails in an actual coin toss.

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The proportional relationship between (0,0) and (4,11) represents a direct variation

The equation that represents the graph is  y = 11x/4

The points on the graph are given as:

(x,y) = (0,0) and (4,11)

The equation of the graph is then calculated using:

y = (y₁/x₁) * x

This gives

y = (11/4) * x

Evaluate

y = 11x/4

Hence, the equation that represents the graph is  y = 11x/4

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Answer:

1

Step-by-step explanation:

trust me

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

Answer:

-12 ft

Step-by-step explanation:

Take -48 ft and add 36 ft

Gives you -12 ft

Answer:

12, since the integer or -12 is 12.

Step-by-step explanation:

The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

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