For the function f(x)=x^2+4x-12 solve the following. F(x) ≤0

Answer:

-6/-2=3   (the answer is 3)

Step-by-step explanation:

Change in y/ Change in x. How you do it: -6-0/2-4=-6/-2=3

Hope this helped :)

Answer:

$ 3078.

Step-by-step explanation:

A square yard is 3 feet by 3 feet =  9 square feet

1800 sq ft / 9 sq ft/ sq yard =200 sq yrds

200 sq yds * $  15.39 / sq yd $ 3078.

The  growth rate of bacteria is about 26.8 hours to reach 500,000 cells, assuming there are no limiting factors.

The growth rate of bacteria is given as 20% per hour, which means that if there are N bacteria at the start of an hour, the number of bacteria at the end of the hour will be N + 0.2N = 1.2N. This assumes that there are no limiting factors such as space, nutrients, etc.

Let's assume that the time it takes to reach 500,000 cells is t hours. At the start, there is only one bacterium, so the number of bacteria after t hours can be written as:

N(t) = 1 x 1.2^t

We want to find the time t such that N(t) = 500,000. Therefore, we can write:

1.2^t = 500,000

Taking the natural logarithm of both sides, we get:

t ln(1.2) = ln(500,000)

t = ln(500,000) / ln(1.2)

t ≈ 26.8 hours

Therefore, it would take about 26.8 hours to reach 500,000 cells, but in absence of limiting factor.

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The order of α^2 is then the least common multiple of these cycle lengths, which is lcm(2, 2, 2, 2) = 2. Therefore, o(α^2) = 2.

To express α as a product of transpositions, we need to decompose the given cycle notation into disjoint cycles.

α = (3527)(32)(143) = (1 3 2)(4)(5 7)(6 8)

To determine if α is even or odd, we count the number of transpositions in this decomposition. Since there are four transpositions, α is an odd permutation.

Next, we find α^2 by multiplying the cycle notation for α with itself:

α^2 = (1 3 2)(1 3 2)(4)(5 7)(6 8) = (1 2 3)(5 7)(6 8)

To express α^2 as a product of disjoint cycles, we can observe that (5 7) and (6 8) remain the same while (1 2 3) can be written as (1 3)(1 2):

α^2 = (1 3)(1 2)(5 7)(6 8)

Thus, α^2 consists of four disjoint cycles: (1 3), (1 2), (5 7), and (6 8).

Finally, to find o(α^2), we need to compute the order of each disjoint cycle in the cycle decomposition of α^2. We have:

o((1 3)) = 2

o((1 2)) = 2

o((5 7)) = 2

o((6 8)) = 2

The order of α^2 is then the least common multiple of these cycle lengths, which is lcm(2, 2, 2, 2) = 2. Therefore, o(α^2) = 2.

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The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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Answer:

Equation p+6=58

Answer:P=52

Step-by-step explanation:

Equation-

We have 58 in total so that is what this is all equal to;

=58

we have plus 6 peaches so +6 added to p which is how much we already have

so p+6=58

p+6+58

Answer-

p+6=58; isolate p

58-6=52; subtract how much we already know we have

p=52; now we know that the remaining has to be p

The carbs that are in one glass of milk and

in one snack bar is 27 carbs

Since 4 glasses of milk and 3 snack bars have a total of 80 carbohydrates (carbs), this will be:

4m + 3b = 80

2 glasses of milk and 4 snack bars have a total of 70 carbs. This will be:

2m + 4b = 70

Collect both equations and solve

4m + 3b = 80 ..... i

2m + 4b = 70 ..... ii

m = milk

b = snack bars

Multiply equation i by 2

Multiply equation ii by 4

8m + 6b = 160

8m + 16b = 280

Subtract

10b = 80

Divide

b = 80/10 = 8

Snack bars = 8 carbs

Since 2m + 4b = 70

2m + 4(8) = 70

2m + 32 = 70

2m = 70 - 32

2m = 38

Divide

m = 38/2 = 19

Milk = 19 carbs

The total carbs will be:

= Milk + Snack

= 19 + 8

= 27 carbs

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Step-by-step explanation:

∠2 = 77°

∠2 = ∠4 ( being vertically opposite angle )

∠4 = 77°

Now...

∠1 + ∠2 = 180° ( supplementary angle )

∠1 = 180° - 77°

∠1 = 103°

here....

∠1 = ∠3 ( vertically opposite angle )

∠1 = 103°

\(.....\)

Answer:

i can give you tuturing 1 on 1 if you give me brainliest

Step-by-step explanation:

30*4 =120 +50

30*9=270+50

Answer:

I think 3 have more, but I am not 100 percent

Answer:

37/100

Step-by-step explanation:

Assuming you mean '0.37'

'0.37' is 37 hundredths.

37 would the the numerator and 100 would be the denominator.

\(\frac{37}{100}\)

Hope this helps.

Answer:

37/100

37%

Step-by-step explanation:

To convert 0.37 to fraction, follow these steps:

First write down the decimal number divided by 1 like this:

0.37

1

As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 102 = 100, so that there is no decimal point in the numerator

0.37 × 100

1 × 100

=

37

100

Hope this helps!

Answer:

is this in the euler student problem question?

Step-by-step explanation

The cost of the wall paper per square feet is 0.72 dollars.

The wall paper is rectangular in shape. The dimension of the wall paper is 42 feet by 25.5 feet.

The total cost of the wall paper is 771.12 dollars. Therefore, let's find the cost per square ft.

Hence,

area of the wall paper = 42 × 25.5

area of the wall paper = 1071 ft²

Therefore,

1071 ft² =  771.12 dollars

1 ft² = ?

Hence,

cost per square feet = 771.12  / 1071

cost per square feet = 0.72 dollors

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Answer:

A

Step-by-step explanation:

Multiplying every score in a sample by 3 will change the value of the standard deviation, making the statement "multiplying every score in a sample by 3 will not change the value of the standard deviation" false.

The standard deviation is a measure of the amount of variation or dispersion in a set of data points. It is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean.

When every score in a sample is multiplied by 3, it effectively changes the scale of the data. The original values are now three times larger, resulting in a larger spread of values around the mean. As a result, the variance and standard deviation will also be three times larger, since they are based on the squared differences between the data points and the mean.

Therefore, multiplying every score in a sample by 3 will change the value of the standard deviation, making the statement "multiplying every score in a sample by 3 will not change the value of the standard deviation" false.

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8.4 cubic feet of water weigh 5233.90 pounds or 2.62 tons.

The process of changing the value of one form to another is called conversion. It doesn't affects the value,it simply converts one form to another.

It is given that-

One cubic foot = 7.48 gallons of water,

and 1 gallon of water weighs = 8.33 pounds.

Now, since One cubic foot holds 7.48 gallons of water

Therefore,to find out 8.4 cubic feet of water weigh. Simply,

⇒  8.4 cubic feet of water  = 84 x 7.48 gallons of water

⇒  8.4 cubic feet of water  = 628.32 gallons of water

To convert it in pounds-

Since,1 gallon of water weighs 8.33 pounds of water

Therefore, 628.32 gallons of water = 628.32 x 8.33 pounds of water

⇒  628.32 gallons of water = 5233.90 pounds of water

Since, 1ton = 0.0005 tons

So,  5233.90 pounds = 5233.90 x 0.0005 tons of water

⇒  5233.90 pounds = 2.62 tons of water.

Hence,8.4 cubic feet of water weigh in 5233.90 pounds and 2.62 tons.

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Answer:

Female: 93/328

Adult: 103/328

Baby: 61/328

Step-by-step explanation:

71 + 93 + 103 + 61 = 328

Male: 71/328

Female: 93/328

Adult: 103/328

Baby: 61/328

Answer:

5

s

4

−

2

s

+

1

. Its degree is 4

Step-by-step explanation:

:)

Answer:

-12

Step-by-step explanation:

S = 4

So 1/2 x 4 = 2

2^3 = 8

Remaining:

8 - 5s

5 x 4 = 20

Remaining currently:

8 - 20

= -12

Answer:

\(4 \frac{1}{5} - \frac{3}{7} \\ =4 + \frac{1}{5} - \frac{3}{7} \\ = \frac{21}{5} - \frac{3}{7} \\ \frac{147 - 15}{35} \\ = \frac{132}{35}

=3 27/35 \\ thank \: you\)

132/35

Step-by-step explanation:

\(4 \frac{1}{5} - \frac{3}{7} \\ \frac{21}{5} - \frac{3}{7} \\ lcm = 35 \\ \frac{21 \times 7}{5 \times 7} - \frac{3 \times 5}{7 \times 5} \\ \frac{147}{35} - \frac{15}{35} \\ = \frac{132}{35} \\ \)

The velocity of the cart b is found as 20/23 ft/s over the pulley.

For the given data in the question.

q's velocity is 2 feet per second.

Rope length is 39 feet.

Assume x is the distance between A and Q. (refer the image).

Assume y is the distance between Q and B. (refer the image).

As a result of the image,

x² + 12² = L²

Now, with respect to time t, differentiate the above equation.

2x(dx/dt) + 0 = 2L.(dL/dt)

For x = 5 ft and L = 13 ft

dL/dt = (5×2)/13 = 10/13

In the case of B,

y² + 12² = (39 - L)² ; from diagram.

Differentiating now,

2y(dy/dt) + 0 = -2(39 - L).(dL/dt)

At x = 5 ft and y = 23 ft.

dy/dy = -20/23

(A negative sign indicates the opposite direction)

Thus, the velocity of cart b is found as 20/23 ft/s.

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Answer:

no

Step-by-step explanation:

The volume of the triangular prism is 198 cubic units.

To find the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism.

In this case, the base of the triangular prism is a triangle with a base of 11 units and a height of 6 units, so the area of the base is:

Area of base = (1/2) × base × height

Area of base = (1/2) × 11 units × 6 units

Area of base = 33 square units

The height of the prism is given as 6 units.

Therefore, the volume of the triangular prism is:

Volume of prism = Area of base × Height

Volume of prism = 33 square units × 6 units

Volume of prism = 198 cubic units

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Answer:

It is A

Step-by-step explanation:

(i)The impulse response h(t) is a quadratic function that opens downward and has roots at t = -1. (ii)Therefore, by evaluating the convolution integral with the given input signal x(t) and impulse response h(t), we can determine the output signal y(t) and sketch its graph based on the obtained expression.

i. To sketch the signals x(t) and h(t), we can analyze their mathematical expressions. The input signal x(t) is a linear function with negative slope from t = 0 to t = 4, and it is zero for t > 4. The impulse response h(t) is a quadratic function that opens downward and has roots at t = -1. We can plot the graphs of x(t) and h(t) based on these characteristics.

ii. To determine the output signal y(t), we can use the convolution integral, which is given by the expression:

y(t) = ∫[x(τ)h(t-τ)] dτ

In this case, we substitute the expressions for x(t) and h(t) into the convolution integral. By performing the convolution integral calculation, we obtain the expression for y(t) as a function of t.

To sketch the output signal y(t), we can plot the graph of y(t) based on the obtained expression. The shape of the output signal will depend on the specific values of t and the coefficients in the expressions for x(t) and h(t).

Therefore, by evaluating the convolution integral with the given input signal x(t) and impulse response h(t), we can determine the output signal y(t) and sketch its graph based on the obtained expression.

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Answer:

An integer, a, cannot be divided by an integer, b, when \(b=0\)

Step-by-step explanation:

There is only one limitation when dividing two numbers. This is that you cannot divide a number by 0 as it is impossible to divide something into 0 groups.

As the integer, b, is the number that symbolized the number of groups something is divided into, this value cannot be 0.