2c + y = 7 solve for y​

9514 1404 393

Answer:

  A, M, N, F

Step-by-step explanation:

I find it easier to look at the graph, rather than mess with the coordinate transformations. Each image point is the same distance from the line of reflection that its pre-image point is. The line joining the two points is perpendicular to the line of reflection.

See attached for the reflected points.

__

The red and turquoise dashed lines are the lines y=x and y=-x, respectively. The same-colored arrows show the reflection of the relevant point.

_____

The transformations of interest are ...

  (x, y) ⇒ (y, x) . . . . reflection over y = x

  (x, y) ⇒ (-x, y) . . . . reflection over y-axis

  (x, y) ⇒ (x, -y) . . . . reflection over x-axis

  (x, y) ⇒ (-y, -x) . . . . reflection over y = -x

Given:

The data is:

Where Fr = freshmen, So = sophomore, Jr = unior, Se = Senior.

Required:

Construct a frequency distribution for the data.

Explanation:

We know that the frequency is the number thrs to the number

The results of shell sorting the final list of components are as follows:

1 2 3 4 5 6 7 8 9

Input: 9 8 7 6 5 4 3 2 1

When h = 7 (elements with a gap of 7), do an insertions sort on the distinct sub-arrays during the first run of the shell sort (9, 2), ( 8, 1), (7), (6), (5), (4) and (3).

After insertion sort sub-arrays are: (2, 9), (1, 8), (7), (6), (5), (4), and (3)

As a result, the following items are present after the first pass:

2 1 7 6 5 4 3 9 8

At the second pass, when h = 3 (elements with a gap 3), perform insertions sort on the separate sub-arrays (2, 6, 3), (1, 5, 9) and (7, 4, 8).

After insertion sort sub-arrays are: (2, 3, 6), (1, 5, 9) and (4, 7, 8)

As a result, the following items are present after the second pass:

2 1 4 3 5 7 6 9 8

At the third and last pass, when h = 1 (elements with a gap 1), perform an ordinary insertions sort on the entire array ( 2 1 4 3 5 7 6 9 8)

After insertion sort the list of elements are as follows:

1 2 3 4 5 6 7 8 9

Therefore, shell sorts the final list of elements as follows:

1 2 3 4 5 6 7 8 9

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Step-by-step explanation:

2x - y = 5

-y = 5 - 2x

.........

Answer:

In the episode pertaining to the discovery of radium, it is false that all of the hypotheses turned out to be true.

There are some hypotheses in the episode thay turned out to be false.

Answer:

The answer is -1

Step-by-step explanation:

2^(2x+1) = 2^2x × 2^1 = 2^2x × 2

after this we can make appointments

2^x = t

and then solve it :)

The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.

To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.

Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.

In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.

The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.

The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.

The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.

Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.

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Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

The value of (8 kg 300 g 120 mg) − (3 kg 500 g 480 mg) is; 4 kg 799 g 640 mg

We want to find the value of;

(8 kg 300 g 120 mg) − (3 kg 500 g 480 mg)

First of all, let us convert all units to kg as;

120 mg = 0.00012 kg

300 g = 0.3 kg

Thus;

8 kg 300 g 120 mg = 8 + 0.3 + 0.00012 = 8.30012 kg

Similarly, converting the second expression;

480 mg = 0.00048 kg

500 g = 0.5 kg

Thus;

3 kg 500 g 480 mg = 3 + 0.5 + 0.00048 = 3.50048 kg

Thus, we have;

8.30012 kg - 3.50048 kg = 4.77964 kg

Breaking down this gives;

4 kg 799 g 640 mg

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Answer:

D

Step-by-step explanation:

We want to find the values of x such that:

\(\displaystyle -x^2 + 7x + 5 = 0\)

We can use the quadratic formula. Recall that:
\(\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

In this case, a = -1, b = 7, and c = 5. Substitute and evaluate:
\(\displaystyle \begin{aligned} x & = \frac{-(7)\pm\sqrt{(7)^2-4(-1)(5)}}{2(-1)}\\ \\ & = \frac{-7\pm\sqrt{49+20}}{-2} \\ \\ & = \frac{-7\pm\sqrt{69}}{-2}\end{aligned}\)

In conclusion, the answer is D.

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Answer:

12

Step-by-step explanation:

G(2)= 2^2 +4(2)

Solve via order of operations

G(2)=4 +8

G(2)=12

Step-by-step explanation:

Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

x² = 12² + 9² = 144 + 81 = 225

x = 15 ft

so, the first answer option is correct.

The value of hypotenuse (x) in the right angled triangle is 15ft.

Given,

Right angled triangle .

Here,

Pythagoras theorem,

c² = a² + b²

here,

c = hypotenuse

a = perpendicular

b = base

Substitute the values in the formula,

x² = 12² + 9²

x² = 144 + 81

x² = 225

x = 15 ft

Thus the length of hypotenuse is 15ft .

So, option A is correct.

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Answer:

45 mph = x

Step-by-step explanation:

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Distance (D) = Rate (R) * Time (T)

For Car  A:  

D = 30T    {Eqn 1}

For Car B:

The Distance D and the time T is the same as for Car A

But, unlike Car A, Car B travels at two different rates.  It travels at 20mph for a time T1.  Then it passes Car A and travels at a rate of x for a period of time T2.

D = (20T1) + (x * T2)

Note that T2 must equal the total time T minus T1, so

D = (20T1) + (x * (T - T1))    {Eqn2}

Substitute Eqn 1 into Enq 2 :   30T = 20T1 + xT - xT1

Rewrite as:  30T = 20T1 + x(T-T1)  {Eqn 3}

At what point do the two cars pass one another?  

Car A travels 30T1  = D1

Car B is traveling in the opposite direction at 20T1 = D2

D2 = D - D1 (where D is the total circular length of the track)

Substituting, 20T1 = D - 30T1.   Or 50T1 = D   {Eqn 4}

Now we can establish a relationship between T and T1 by substituting Eqn1 into Eqn4

D = 30T = 50T1

30T = 50T1

(30/50)T = T1

T1 = (3/5)T   {Eqn 5}

Now substitute Eqn 5 into Eqn 3

30T = 20T1 + x (T-T1)

30T = 20(3/5)T+ x (T - 3/5 T)

30T = 12T +  xT(2/5)

18T = (2/5)x

(5/2)18 = x

45 mph = x

Recall that x is the speed that Car B must travel after it passes Car A.

Answer:

A. addition property of equality

Step-by-step explanation:

To make x stand alone, "5" was added to both sides of the equation. The property that is applied here is the addition property of equality.

Adding "5" to both sides of the equation makes the equation balanced.

The answer is: A. addition property of equality

The number of acres pollinated by the bees in 18 beehives is 48 acres.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The variables for this problem are given as follows:

x: number of beehives.

y: number of acres.

From the table, the constant is obtained as follows:

3k = 8

k = 8/3

Hence the equation is of:

y = 8x/3.

The number of acres that will be pollinated by 18 beehives is then given as follows:

y = 8(18)/3

y = 48 acres.

Therefore, the number of acres pollinated by the bees in 18 beehives is 48 acres.

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From the directory for her state, Haylee randomly chooses 10 small firms. Assume that the binomial variable BBBB represents the number of the firms she chooses that have websites.

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probabilitq=1-pq=1-p).

This distribution is used in probability theory and statistics.

A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results. For a single trial, or n = 1, the binomial distribution is a Bernoulli distribution.

The popular binomial test of statistical significance is based on the binomial distribution.

A sample of size n drawn with replacement from is widely used to model the number of successes using the binomial distribution.

Hence, From the directory for her state, Haylee randomly chooses 10 small firms. Assume that the binomial variable BBBB represents the number of the firms she chooses that have websites.

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Answer: 117 tickets left

Step-by-step explanation:

Answer:

x = 2/5

Step-by-step explanation:

3 (2x + 3x - 2) = 0

2x + 3x - 2 = 0

5x - 2 = 0

5x = 2

x = 2/5

At time t = 0, the initial velocity is approximately 5.9 m/s

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept

Let x represent the time and y represent the velocity.

Using points from the table (2, 13.1) and (8, 34.6). hence:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-13.1=\frac{34.6-13.1}{8-2}(x-2) \\\\y-13.1 = 3.58x -7.2\\\\y = 3.58x+5.9\)

Hence at t = 0:

y = 3.58(0) + 5.9 = 5.9

At time t = 0, the initial velocity is approximately 5.9 m/s

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In total we have 350 students

315 went on the class field trip

In order to know how many students did not go on the class field trip

350-315=35

if

350--- 100%

35 --- x

where x is the percentage of students did not go on the class field trip

the percentage of students did not go on the class field trip is 10%

Answer:

ok so so here are the numbers equal to 6

1,5

5,1

2,4

4,2

3,3

so five options and there are 36 possible outcomes(6*6)

so 5/36 or 0.14

Hope This Helps!!!

The solution is,  the probability that the sum of the two dice is greater than or equal to six is 0.14.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we get,

You roll two six-sided dice numbered from one through six.

so here are the numbers equal to 6

1,5

5,1

2,4

4,2

3,3

so five options and there are 36 possible outcomes(6*6)

we get, sample space = 36

favorable outcome = 5

probability = 5/36

so 5/36 or 0.14

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Answer:

1. 15x + 10y=-11

15x + 10y + 11=-11 + 11

15x + 10y + 11 = 0

2. -9x + DT = 19

-9x = 19 - DT

x = 19/9 + 1/9DT

x = 19/9 + 1/9DT, D∈ℝ, T∈ℝ

Answer:

1/12

Step-by-step explanation:

1/2 multiplied by 1/6 equals 1/12

Answer:

29°

Step-by-step explanation:

In the first triangle,

46 + 30 + x = 180 (Angle sum property)

76 + x = 180

x = 180 - 76

x = 104

In the second triangle,

47 + 104 + y = 180

151 + y = 180

y = 29

Thus, the required angle is 29°.

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Answer:

the answer is 29 degrees

Step-by-step explanation:

look at the picture below

During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:

P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes

The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.

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Answer:

Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are called composite numbers.

A prime number cannot be divided by any other numbers without leaving a remainder. An example of a prime number is 13. |  15 is not an example of a prime number because it can be divided by 5 and 3 as well as by itself and 1.

To work out if a number is prime, you can try to divide the number by all numbers that are smaller than it. If it can only be evenly divided by 1 and the number itself, then it is a prime number.

Answer:

.49 if you're dividing them.

Step-by-step explanation: