What is the y-value when x equals - 12?
y = -200 - 6(x)
Enter the correct answer

Answer:

\(a = 6m/s^2\)

Step-by-step explanation:

Given

When mass = 4kg; Acceleration = 15m/s²

Required

Determine the acceleration when mass = 10kg, provided force is constant;

Represent mass with m and acceleration with a

The question says there's an inverse variation between acceleration and mass; This is represented as thus;

\(a\ \alpha\ \frac{1}{m}\)

Convert variation to equality

\(a = \frac{F}{m}\); Where F is the constant of variation (Force)

Make F the subject of formula;

\(F = ma\)

When mass = 4kg; Acceleration = 15m/s²

\(F = 4 * 15\)

\(F = 60N\)

When mass = 10kg; Substitute 60 for Force

\(F = ma\)

\(60 = 10 * a\)

\(60 = 10a\)

Divide both sides by 10

\(\frac{60}{10} = \frac{10a}{10}\)

\(a = 6m/s^2\)

Hence, the acceleration is \(a = 6m/s^2\)

Answer: 150

Step-by-step explanation:

You got it right, just divide 300 by 2 :)

Answer:

150

Step-by-step explanation:

50% is half if everything... half of 300 is 150

Answer:

5 gallons of 18% solution

10 gallons of 48% solution

Step-by-step explanation:

x = gallons of 18% solution

y = gallons of 48% solution

Total volume is:

x + y = 15

Total amount of fertilizer is:

0.18 x + 0.48 y = 0.38 (15)

Solve by substitution.

0.18 x + 0.48 (15 − x) = 0.38 (15)

0.18 x + 7.2 − 0.48 x = 5.7

0.3 x = 1.5

x = 5

y = 10

Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

Given

The equation is

4x=12

Explanation

We have to graph the equation ,

Simplify the equation ,

The ordered pair that satisfy the equation is

Answer

The graph of the equation with the help of ordered pair is

Answer:

\(\displaystyle A=\frac{20}{3}\)

Step-by-step explanation:

\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)

Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.

Answer:16

Step-by-step explanation: I took the same quiz

Answer:

Yup you get it! (Probability doesn't change, it is constant for all trials)

Step-by-step explanation:

In binomial experiments, you have two conditions, a success and failure is how they often put it. In this experiment, the probability of success has to be the same for each trial to constitute it as a binomial experiment.

Basically there's 4 rule you need to satisfy for an experiment to be considered binomial:

1) Has to have fixed number of trials. Eg, n=1,2,3.....x x= finite number (we cannot have infinte trials)

2) Each trial is independent of one another. (One trial doesn't influence another trials probability/outcome)

3) Only two outcomes (very important) because as name suggests bi- (bi usually means two)

4) Probability of each outcome/condition is constant from one trial to another

Simplifying this equation, we get:

8 + 4k + 4k + 6 = 30

8k + 14 = 30

8k = 16

k = 2

Therefore, the value of k is 1.

In mathematics, a polynomial is an expression consisting of variables (usually represented by x), coefficients, and non-negative integer exponents, which are combined using the operations of addition, subtraction, and multiplication. For example,

\(3x^2 + 2x - 1\)

is a polynomial with three terms, or a "trinomial," where the variable x is raised to the powers of 2 and 1, and the coefficients are 3, 2, and -1.

The degree of a polynomial is the highest power of the variable in the expression. For example, the polynomial above has a degree of 2, since the highest power of x is 2.

Polynomials are used in many areas of mathematics, including algebra, calculus, and geometry, and are used to model many real-world phenomena.

We can use the remainder theorem, which states that if a polynomial f(x) is divided by (x - a), then the remainder is equal to f(a). In this case, we know that when the polynomial\(l x^3 + kx^2 + 2kx\) + 6 is divided by (x - 2), the remainder is 30. So, we can set up the following equation:

\(x^3 + kx^2 + 2kx + 6 = (x - 2)q(x) + 30\)

where q(x) is the quotient when. \(x^3 + kx^2 + 2kx + 6\) is divided by (x - 2). We don't need to know what q(x) is, since we're only interested in finding k.

Now, let's substitute x = 2 into the equation above:

\(2^3 + k(2^2) + 2k(2) + 6 = (2 - 2)q(2) + 30\)

Simplifying the left-hand side, we get:

\(8 + 4k + 4k + 6 = 30\)

\(16k = 16\)

\(k = 1\)

OR

8 + 4k + 4k + 6 = 30

8k + 14 = 30

8k = 16

k = 2

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Answer:

1.2 litres of the 30% solution.

Step-by-step explanation:

0.30x + 0.80y = 0.70(x + y)

0.30x - 0.70x + 0.80y - 0.70y = 0

-0.40x + 0.10y = 0

Also

x + y = 6

Multiply the third equation by 10:

-4x + y = 0

Subtracting the last 2 equations:

5x = 6

x = 6/5 = 1.2 litres.

Answer:

4x+2y=4

3x-y=-7

first one by 3

second by 4

12x+6y=12

12x-4y=-28

subtract

10y=40

y=4

plug in

3x-4=-7

add 4

3x=-3

x=-1

(-1,4)

c

Hope This Helps!!!

Answer: third option

Step-by-step explanation:

There are 2 ways to go about systems of equations normally, and that's elimination and substitution. For this particular problem, I would recommend elimination.

we see the first equation 4x+2y=4

we want to be able to simplify it as much as possible (so it's easier to solve)

so we divide all the terms by 2, giving 2x+y=2.

the second equation can't be simplified, so we set up the elimination method.

   2x+y=2

  -3x-y=-7

multiplying both equations by 2 and 3, we subtract them and get that y equals 4, which is clearly the answer.

The term "100 points" usually indicates a high level of achievement or success in a particular area.

The term "100 points" can refer to a number of different things depending on the context. For example, in sports, it could refer to a team scoring 100 points in a game.

In wine tasting, it could refer to a perfect score given to a wine by a critic or judge. In school, it could refer to receiving a perfect score on an exam or assignment worth 100 points.

It's important to note that while a perfect score of 100 points is often seen as the ultimate goal, it's not always necessary or even possible in some situations. In many cases, simply doing your best and striving for improvement is enough to be considered successful.

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Answer:

the answer is 2.4 miles per day

the measure of the angle ∠YXZ will be 105° after completing the statements.

Given:

∠WXY and ∠YXZ are supplementary angles.

m ∠WXY = 75°

Now, we get that:

∠WXY + ∠YXZ = 180° (supplementary angles)

75° + ∠YXZ = 180°

∠YXZ = 180° - 75°

∠YXZ = 105°

So, the statements will be:

1) Supplementary angles

2) Definition of supplementary angles

3) 105°

Therefore, we get that, the measure of the angle ∠YXZ will be 105° after completing the statements.

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Answer:

inc: -inf, 1

dec: 1, -inf

let me know if im wrong!!!

Answer:

80 degrees

Step-by-step explanation:

The amount all the angles in a triangle always add up to 180.

6x+4x+8x = 180

18x=180

x=10

The largest angle is 8x so 8*10 = 80

The exponential equation to model this scenario is given  by y = 200(0.85)ˣ

An equation is an expression that shows the relationship between two or more numbers and variables.

A linear inequality has the form of a linear equation, showing the non equal comparison between numbers and variables.

The linear inequality y ≤ (1/3)x - 5 passes through the point (0, -5) and (15, 0)

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The fraction of the IQR represented by the difference in medians are presented as follows;

The difference in median is 3/5 times the IQR for the fiction books

The difference in median is 1/2 times the IQR for the nonfiction books

The IQR is the interquartile range which is the difference between the First Quartile and the Third Quartile of the dataset.

The statistical information are;

The median number of pages of fiction books Kyle reads = 239

The IQR of the fiction books Kyle reads = 25

The median number of nonfiction books Kyle reads = 254

The IQR of the nonfiction books Kyle reads = 30

The difference in the median number of nonfiction and fiction books Kyle reads is therefore;

The possible part of the question includes;

To find the fraction of the IQR of the fiction books represented by the difference in the median

The fraction of the IQR of the nonfiction books represented by the difference in median

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Answer:

\(g(-2) = 25\)

\(g(-1) = 5\)

\(g(0) = 1\)

\(g(1) = \frac{1}{5}\)

Step-by-step explanation:

Given

\(g(x) = \frac{1}{5}^x\)

Solving (a): When x = -2

This gives:

\(g(x) = \frac{1}{5}^{(-2)\)

\(g(x) = \frac{1}{5}^{-2\)

\(g(x) = 5^2\)

\(g(-2) = 25\)

Solving (b) When x = -1

This gives:

\(g(x) = \frac{1}{5}^{-1}\)

\(g(-1) = 5\)

When x = 0

This gives:

\(g(x) = \frac{1}{5}^0\)

\(g(0) = 1\)

When x = 1

This gives:

\(g(x) = \frac{1}{5}^1\)

\(g(1) = \frac{1}{5}\)

Answer:

117 units cubed.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

117

Step-by-step explanation:

find all the shown surface area

Answer:

375 * 3/5 =225

375 - 225 = 150

150 * 1/3 = 50

150 - 50 = 100

Step-by-step explanation:

The reading on the scale in part (a) is 11.0 kg, in part (b) is 5.5 kg, and in part (c) is 16.5 kg.

a) The reading on the scale will be 11.0 kg. This is because the mass of the salami is supported by the cord, which is then measured by the spring scale. The force exerted by the salami on the spring is equal to the weight of the salami, which is equal to the mass times the acceleration due to gravity (F = ma = mg). Therefore, the reading on the scale will be equal to the mass of the salami (11.0 kg).

b) The reading on the scale will be half of 11.0 kg, or 5.5 kg. This is because the weight of the salami is being supported by two cords, one running from the salami to the pulley and one running from the pulley to the wall. The force exerted by the salami on the scale is equal to the weight of the salami (F = mg). Since the force is now being shared between two cords, the force exerted on the scale is only half the weight of the salami (F = mg/2). Therefore, the reading on the scale will be 5.5 kg.

c) The reading on the scale will be 16.5 kg. This is because the two salamis are now being supported by one cord, which runs from one salami to the other and then to the scale. The force exerted by the salamis on the scale is equal to the sum of the weights of both salamis (F = mg₁ + mg₂). Therefore, the reading on the scale will be equal to the sum of the masses of both salamis (16.5 kg).

The reading on the scale in part (a) is 11.0 kg, in part (b) is 5.5 kg, and in part (c) is 16.5 kg.

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The given expression is equivalent to \($(1215)^{x/5}\).

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following equation -

\($(\sqrt[5]{1215})^{x}\)

For \($\sqrt[a]{x} = x^{1/a}\)

Using the rule, we can write -

\($(\sqrt[5]{1215})^{x}\) = \($(1215)^{x/5}\)

Therefore, the given expression is equivalent to \($(1215)^{x/5}\).

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Answer:

-i. If you are using imaginary numbers.

Step-by-step explanation:

The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.

This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.

For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.

This question is using the percentage decrease theory. According to this theory,

you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.

Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).

Original - Current = Change

120,000 - 3200 = 116,800

Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)

Change / Original = Percentage Change

116,800 / 120,000 = 97%

Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)

Percentage Change x Original = Estimated Original

97% x 120,000 = 116,400

Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

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F = cost of the songs.

C = number of songs

F ∝ C

F = KC

K = constant of proportionality.

The constant of proportionality is 0.0048.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x = 6 is an equation.

We have,

Number of songs      Total cost

1515                              $7.20

1717                               $8.16

2020                            $9.60

Let F = cost of the songs.

C = number of songs

F ∝ C

F = KC

K = constant of proportionality.

We see that,

The total cost of the songs = 0.0048 x the Number of songs.

7.20 = 0.0048 x 1515

8.16 = 0.0048 x 1717

9.60 = 0.0048 x 2020

Thus,

F ∝ C

F = KC

F = cost of the songs.

C = number of songs

K = constant of proportionality.

The constant of proportionality is 0.0048.

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