Write the function in function notation with the name "h": y = 5W + 2​

The exponential function giving the number of bacteria after x hours is given as follows:

\(y = 250(2)^x\)

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

a = 250, b = 2.

Hence the function is given as follows:

\(y = 250(2)^x\)

The problem asks for the exponential function giving the number of bacteria after x hours is given as follows:

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The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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Answer:

5 sessions each

Step-by-step explanation:

Let the personal training sessions be x.

Then at Silver Gym Sarah would spend:

And at Fit Factor she would spend:

Since total costs are same, the amounts will be equal:

So Sarah would buy 5 training sessions for each of the gyms.

And she would spend $185 at each.

To find the x-intercept of the equation 3x + 5y = 9, we set y = 0 and solve for x.When y = 0, the equation becomes 3x + 5(0) = 9, which simplifies to 3x = 9.Solving for x, we get x = 3.The x-intercept of the equation 3x + 5y = 9 is (3, 0).

What is x-intercept ?

An x-intercept is a point where a graph or a line crosses the x-axis. It is the value of the independent variable (x) when the dependent variable (y) is equal to zero. In other words, it is the point at which a function or equation intersects the x-axis, and its coordinates are of the form (x, 0). To find the x-intercept of a graph or equation, you can set y=0 and solve for x.

To find the x-intercept of the equation 3x + 5y = 9, we need to set y = 0 and solve for x.

So, we have:

3x + 5(0) = 9

3x = 9

x = 3

Therefore, the x-intercept of the equation 3x + 5y = 9 is (3,0), which means the point where the line intersects the x-axis is (3,0).

To verify, we can graph the equation and see that the point (3,0) is indeed on the x-axis.

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Answer:

91.4

Step-by-step explanation:

We know that the formula to a right triangle is a^2 + b^2 = c^2

so assume 73 and 55 are both Not the hypotenuse, then

73*73 + 55*55 = c^2

5329 + 3025 = 8354

c = 91.4

Answer Bike trail

Step-by-step explanation:

Answer:

Bike trail

Step-by-step explanation:

The lengths of the unknown sides and angles  are: 12.3, 229.6, 24.6, 53, 139, and 28 respectively

We are to use the trigonometric in finding the unknown sides

1a) From the trig ratio of cosine

Cos A = opposite/Adjacent

Cos35 = a/15

a=15*cos35

a = 15*0.8192

a=12.3

1b)   Cos A = opposite/Adjacent

Cos25 = a/250

a=250*cos25

a = 250*0.9063

a = 226.6

2) Using the sine ratio

sinA = opposite/hypothenuse

sin A = 5/12

Sin A= 0.4167

Taking the sine inverse we have

A=24.6 degrees

2b) Using the ration of cosine

CosX = 12/15

Cos x = 0.8000

x= Cos⁻¹0.8000

x=53 degrees

3)  Using Pythagoras theorem to find length AB = c

c²=a²+b²

c²=123²+65²

c²= 15129+4225

= 19354

c=√19354

c= 139

To find the angle,

SinA = 69/139

Sin A = 0.4676

Taking the sine inverse

A= 28⁰

The second angle B is 90-28 = 62⁰

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The values are 1) x = 6, y = 2√3 and 2) x = 49, y = 49√3.

Given are two right triangles we need to find the missing sides,

We will use Trigonometric ratios to find the same.

We know that,

Sin a = perpendicular / hypotenuse

Cos a = base / hypotenuse

Tan a = perpendicular / base

1) Sin 60° = x / 4√3

x = √3/2 × 4√3

x = 6

Cos 60° = y / 4√3

1/2 × 4√3 = y

y = 2√3

2) Cos 60° = x / 98

x = 1/2 × 98

x = 49

Sin 60° = y / 98

√3/2 = y / 98

y = 49√3

Hence the values are 1) x = 6, y = 2√3 and 2) x = 49, y = 49√3.

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Answer:

1. 6   2. 5    3. 4    4. 3    5. 2

Step-by-step explanation:

The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.

The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.

Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.

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Answer:

30

Step-by-step explanation:

Write the problem as a mathematical expression.

600.02%600.02%

Convert the percentage to a fraction by placing the expression over 100100. Percentage means 'out of 100100'.

600.02100600.02100

Convert to a decimal.

30

30 detective per of

correct me if I'm wrong

Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

Answer:

y > 81

Step-by-step explanation:

82 - 28 = 54

So, 54 > 53

(I don't know how to explain this properly but this is the answer)

Given:

The recursive formula of a geometric sequence is

\(a_n=a_{n-1}\cdot (\dfrac{1}{8})\)

\(a_1=-3\)

To find:

The explicit formula of the given geometric sequence.

Solution:

We know that, first term of geometric sequence is \(a_1=-3\).

Recursive formula of a geometric sequence is

\(a_n=a_{n-1}\times r\)      ...(i)

where, r is common ratio.

We have,

\(a_n=a_{n-1}\cdot (\dfrac{1}{8})\)    ...(ii)

On comparing (i) and (ii), we get

\(r=\dfrac{1}{8}\)

The explicit formula of a geometric sequence is

\(a_n=a_1r^{n-1}\)

Putting \(a_1=-3\) and \(r=\dfrac{1}{8}\), we get

\(a_n=-3\left(\dfrac{1}{8}\right)^{n-1}\)

Therefore, the correct option is D.

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

Answer:

D. 1

Step-by-step explanation:

Answer:

Answer is D. 1

Step-by-step explanation:

The answer is D on Edge.   (VERIFIED Edge Answer)

Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.  

Edge Tip: Answers do not mix or change.

The gradient of the line joining the points (1,-1) and (4,9) is 10/3, while the gradient of the line joining (5,1) and (2,-2) is 1. The x-intercept of the equation 3y = 2x - 2 is 1, and the y-intercept is -2/3. These calculations follow the formula for gradient and the methods for finding intercepts in linear equations.

1) To find the gradient of a line joining two points, you can use the formula: gradient = (change in y)/(change in x).
Given the points (1,-1) and (4,9), the change in y is 9 - (-1) = 10 and the change in x is 4 - 1 = 3.
Therefore, the gradient of the line joining these points is 10/3.
2) Similarly, to find the gradient of a line joining two points (5,1) and (2,-2), we can use the same formula. The change in y is -2 - 1 = -3 and the change in x is 2 - 5 = -3.
Therefore, the gradient of the line joining these points is -3/-3 = 1.
3) To find the x-intercept, we set y to 0 and solve for x.
Given the equation 3y = 2x - 2, if we substitute y with 0, we have 3(0) = 2x - 2, which simplifies to 0 = 2x - 2.
To solve for x, we can add 2 to both sides: 0 + 2 = 2x - 2 + 2, which gives us 2 = 2x.
Dividing both sides by 2, we get x = 1.
Therefore, the x-intercept of the equation 3y = 2x - 2 is 1.
To find the y-intercept, we set x to 0 and solve for y.
Using the same equation, if we substitute x with 0, we have 3y = 2(0) - 2, which simplifies to 3y = -2.
To solve for y, we can divide both sides by 3: (3y)/3 = (-2)/3, which gives us y = -2/3.
Therefore, the y-intercept of the equation 3y = 2x - 2 is -2/3.
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Answer: 5,260

Step-by-step explanation:

So the question here is 45% of WHAT number (x) = 2,367

Setup as a fraction

45/100 = 2,367/X

Cross multiply

45X=236,700

Divide 45X by 45 to get X alone

Divide the other side too bc what you do to one side, you have to do to the other.

236,700/45=

5,260

Check your answer

45/100=2367/5260

False, A predicate in the domain of real numbers is any equation or inequality with variables.

The claim is made by:

∀ x ,  \(x^4\)>x

This statement is false

A hypothesis in the domain of actual figures is any equation and inequality with variables.

Because, if we think about,

x = 1/2

\(x^4\) =  \((1/2)^4\)

\(x^4\) =  \((1/2^4)\)

\(x^4\) = 1/16

We also understand that:

1/16 < 1/2

Since two numbers with the same numerator are smaller than each other, the larger number has a larger denominator.

Hence,

\(x^4\) < x

when x = 1/2

Hence, the result \(x^4\) > x is not true for all x belonging to real numbers.

Hence, the given statement is a FALSE statement.

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The question is -

Any equation or inequality with variables in it is a predicate in the domain of real numbers. For the following statement, tell whether the statement is true or false. (∀x)(x4> x)

Answer:

72

Step-by-step explanation:

mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.

i think the answer is 579

The difference between the longest time and the shortest time Melissa spent exercising (Range) is; 3/4 hours.

As evident from the task content; the difference between the longest time and the shortest time Melissa spent exercising, otherwise termed the range is to be determined.

By observation, the longest time = 1 hour while the shortest time = 1/4 hour.

Hence, the difference is; 1 - 1/4 = 3/4 hours.

On this note, the difference as required is; 3/4 hours.

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Answer: This is for college? lol the answer should be $2.75

Step-by-step explanation:

45.50-42.75= 2.75

Answer:

B

Step-by-step explanation:

Answer:

u can ask the tutor and he or she will help u in real time and explain

Answer:

it is just length plus width times two.

Step-by-step explanation:

Answer:

10/100

Step-by-step explanation:

10% = 10/100;

The height of the building to the nearest foot is: 235 ft

We are given the parameters as:

Height of building = 94.7 ft

The angle of elevation of the top of the flagpole = θ₁ = 35.2°

The angle of elevation of the bottom of the flagpole = θ₂ = 26.7°

Let,

Height of building = x

Distance from observation point to base of building = y

Thus:

tan 26.7 = x/y

y = x/tan 26.7

tan 35.2 = (94.7 + x)/y

Thus:

tan 35.2 =(94.7 + x)/(x/tan 26.7)

Rearranging this gives:

x = 94.7/((tan 35.2/tan 26.7) - 1)

x = 235.23 ft

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The hill makes an angle of approximately 11.98 degrees with the horizontal.

From the information, a force of 5 lb is required to hold a 24-lb crate on a hill and we want to know the angle that the hill make with the horizontal.

F = W * sin(θ)

where sin(θ) is the sine of the angle θ.

Solving for sin(θ), we get:

sin(θ) = F / W

       = 5 lb / 24 lb

       ≈ 0.2083

θ = arcsin(0.2083)

  ≈ 11.98 degrees

Therefore, the hill makes an angle of approximately 11.98 degrees with the horizontal.

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