if g(x)= -3 +1, Find x if g(x)= 16

Answer:

50 berries

Step-by-step explanation:

Multiply 10 by 5  

Answer:

The van can carry 8 students

The bus can carry 52 students

Step-by-step explanation:

Assume that the number of students in each van is v and the number of students in each bus is b

∵ The senior class at Downingtown rented and filled 14 vans and

   7 buses with 476 students

∵ The number of students in each van is v

∵ The number of students on each bus is b

∴ 14v + 7b = 476 ⇒ (1)

∵ West Chester HS rented and filled 7 vans and 11 buses with

   628 students

∴ 7v + 11b = 628 ⇒ (2)

Let us solve this system of equations to find v and b

→ Multiply equation (2) by -2 to make the coefficients of v equal in

  the values and different in the signs

∵ -2(7v) + -2(11b) = -2(628)

∴ -14v - 22b = -1256 ⇒ (3)

→ Now add equations (1) and (3) to eliminate v

∴ -15b = -780

→ Divide both sides by -15

∴ b = 52

→ Substitute the value of b in equation (1) to find v

∵ 14v + 52(7) = 476

∴ 14v + 364 = 476

→ Subtract 364 from both sides

∴ 14v = 112

→ Divide both sides by 14

∴ v = 8

The van can carry 8 students

The bus can carry 52 students

The probability for a data point is less than is 0.8413.

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

The mean(μ)=4

Standard deviation(σ)=1

(P<5)

From the figure, standard normal distribution curve probability which we have to find P<5

It is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

P(x=4)=x-μ/σ

=4-4/1=0

P(x=4)=50%

P(x<5)=P(x=4)+P(x=1)

=50%+34.13%

=0.8413

P(x<5)=0.8413

Therefore, the probability a data point is less than 5 is 0.8413.

For such more questions about Probability

https://brainly.com/question/30034780

#SPJ4

As per the unitary method, the length of his shadow changing is 30 feet.

The term unitary method is known as a process of finding the value of a single unit, and based on this value.

Here we have given that a 6-foot man is running away from the base of a streetlight that is feet high.

Then let us consider that the man be x feet away from the street light and his shadow length be y,

Here we have also consider that let the tip of the shadow be l feet away from the light is written as

=> l = x + y

Here we are given that,

=> dx/dt=2

Then as per the concept of similar triangles, we can write it as,

=> x/5 = 6x+6/31

=> 31x = 30x + 30

=> x = 30

To know more about unitary method here.

https://brainly.com/question/28276953

#SPJ4

Answer:

17 is the value of x...

Step-by-step explanation:

9x + 7 = 10x-10 reason ( being alternate angle

or, x = 17

Answer:

C) (1,0), and (-3,0)

Step-by-step explanation:

The parabola intercepts the x axis at points (1,0) and (-3,0).

your answer is

C) (1,0), and (-3,0)

have a good dayyy!

Answer:

20

Step-by-step explanation:

Answer:

The required equation is:

Step-by-step explanation:

We know that

distance = rate × t

Given that a car moving at a constant speed passed a timing device at t=0.

In other words, at t = 0 second, d = 0 ft.

After 7 ​seconds, the car has traveled 567 ft.

In other words, at t = 7 seconds, d = 567 ft

Thus, there are two points

(0, 0)

(7, 567)

Finding the slope between (0, 0) and (7, 567)

Using the formula

Slope = Rate of change = [y₂-y₁] / [x₂-x₁]

                                        = [567 - 0] / [7-0]

                                        = 567 / 7

                                        = 81 ft/second

Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider

Thus, the required equation is:

distance = rate × t

d = 81 × t

d = 81t

or

f(t) = 81t

VERIFICATION

Given the equation

d = 81 × t

Put t = 0 to find the disatance in 1 sec

d = 81 × (0) = 0 ft

Put t = 7 to find the distance in 7 seconds

d = 81 × (7) = 567 ft

After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

Know more about revenue:

https://brainly.com/question/27325673

#SPJ11

Answer:

267

Step-by-step explanation:

The cost of walking this guest is $190.

The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.

The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.

In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.

Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.

Therefore, the total cost incurred by the hotel for walking the guest is:

$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190

To learn more about cost here:

https://brainly.com/question/24596968

#SPJ4

x=2

_______

x= \(\frac{1}{3}\)

Answer:

3 = 3/4

but 3/4= 0.75

3 = 0.75

x = 25

cross multiply

0.75x = 75

divide both sides by 0.75

x = 100

therefore 25miles represent 100inch on a map

The solution to the limits (a) and (b) are 24 and 4 respectively.

Given

lim f(x)=8

lim g(x)=-2

lim h(x)=0

Using the properties of limits and basic arithmetic operations, we can find the limit of the following:

(a) \(\lim_{x \to \ 3} [2f(x) - 4g(x)]\)

We can apply the properties of limits to each term separately:

lim [2f(x)] - lim [4g(x)] as x approaches 3.

Using the given information:

2 * lim f(x) - 4 * lim g(x) as x approaches 3.

Substituting the known limits:

2 * 8 - 4 * (-2) = 16 + 8 = 24.

Therefore, lim [2f(x) - 4g(x)] as x approaches 3 is equal to 24.

(b) \(\lim_{n \to \ 3} [2g(x)^{2} ]\)

We can apply the property of limits to the entire expression:

[lim (2g(x))]² as x approaches 3.

Using the given information:

[lim g(x)]² as x approaches 3.

Substituting the known limit:

(-2)² = 4.

Therefore, lim [2g(x)]² as x approaches 3 is equal to 4.

Learn more about limit here:

https://brainly.com/question/30679261

#SPJ1

The area of a rectangular field is 28x^2-56x square units and one of its side is 7x units.

The other side of the rectangular field.

Area of the rectangular field = 28x^2-56x square units

Let its length be 7x units.

We know, area of a rectangle = length × breadth

So, breadth = area ÷ length

Therefore, the breadth of the rectangular field

\( = \frac{ {28x}^{2} - 56x}{7x} \\ = \frac{7x(4x - 8)}{7x} \\ = 4x - 8\)

The other side of the rectangular field is 4x-8 units.

The question is that the number of particles of contamination per pound of material is modeled variable  by a Poisson random variable with a mean of 0.01 particle per pound.

This means that on average, there are 0.01 particles of contamination per pound of material.To study the raw materials for contamination, the number of particles per pound is observed and analyzed. This information helps determine the level of contamination in the raw materials and allows for appropriate actions to be taken if necessary.

By using a poisson random variable, it is possible to calculate the probability of a certain number of particles per pound occurring. This can help in assessing the likelihood of contamination and making informed decisions based on the observed data.In summary, raw materials are studied for contamination using a poisson random variable with a mean of 0.01 particle per pound. This allows for the analysis of the number of particles of contamination per pound and helps in assessing the level of contamination in the raw materials.

To know more about variable visit:

https://brainly.com/question/16906863

#SPJ11

Answer:

Hey there!

Area=1/2bh

Area=1/2(120)(90)

Area=60(90)

Area=5400

Let me know if this helps :)

By solving the given equation f(x) = \(x^{2} +3x-40\), the zeroes are -3 and 5.

To solve the given equation we have to do the factorization.

What is factorization: Factorization is the method of writing numbers as the product of their factors or divisors.  In other words, we can say finding what to multiply together to get an expression.

To do the factorization, we have to follow the steps as shown below:

 \(x^{2} +3x-40\) \(= 0\)

\(-40 = 8 * -5\\\)                        [ multiplication of 8 and -5 is -40]

\(x^{2}+8x-5x -40\) \(= 0\)

\(x(x+8) -5(x+8)\) \(= 0\)

\((x-5)(x+8)\) \(= 0\)

\(x = 5\)   and  \(x = -8\)              [ The roots or zeroes]

From the above solution, we can conclude that the zeros of the given function \(x^{2} +3x-40\) are 5 and -8.

To know more about factorization,

https://brainly.com/question/14268870

The volume of the cylinder is approximately 834773.645 cubic units.

To calculate the volume of a cylinder, we use the formula V = πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cylinder.

Given that the diameter of the cylinder is 760, we can find the radius by dividing the diameter by 2:

Radius (r) = diameter / 2 = 760 / 2 = 380

Now we can calculate the volume using the formula:

V = πr^2h = 3.14159 * (380^2) * 1.84

V ≈ 3.14159 * 144400 * 1.84

V ≈ 3.14159 * 265465.6

V ≈ 834773.645 cubic units

Know more about volume of the cylinder here:

https://brainly.com/question/15891031

#SPJ11

Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

Answer:

g(x-3) = 2x^2 - 16x + 30

Step-by-step explanation:

To find g(x-3), we need to substitute x-3 wherever x appears in the expression for g(x), so we have:

g(x-3) = 2(x-3)^2 - 4(x-3)

Now we need to simplify this expression using algebraic rules.

First, we can expand the square by multiplying (x-3) by itself:

g(x-3) = 2(x^2 - 6x + 9) - 4(x-3)

Next, we can distribute the 2 and the -4:

g(x-3) = 2x^2 - 12x + 18 - 4x + 12

Simplifying further, we can combine like terms:

g(x-3) = 2x^2 - 16x + 30

Therefore, g(x-3) = 2(x-3)^2 - 4(x-3) simplifies to g(x-3) = 2x^2 - 16x + 30.

Answer:

g(x - 3) = 2x² - 16x + 30

Explanation:

To evaluate this function, I plug in (x-3):

\(\sf{g(x)=2x^2-4x}\)

\(\sf{g(x-3)=2(x-3)^2-4(x-3)}\)

\(\sf{g(x-3)=2(x-3)(x-3)-4(x-3)}\)

\(\sf{g(x-3)=2(x^2-3x-3x+9)-4(x-3)}\)

\(\sf{g(x-3)=2(x^2-6x+9)-4(x-3)}\)

\(\sf{g(x-3)=2x^2-12x+18-4(x-3)}\)

\(\sf{g(x-3)=2x^2-12x+18-4x+12}\)

\(\sf{g(x-3)=2x^2-12x-4x+12+18}\)

\(\sf{g(x-3)=2x^2-16x+12+18}\)

\(\sf{g(x-3)=2x^2-16x+30}\)

∴ answer = g(x - 3) = 2x² - 16x + 30

Answer:

Step-by-step explanation:

First factorise 16 and 40

\(\sqrt{16}+\sqrt{40}=\sqrt{4*4}+\sqrt{2*2*2*5}\\\\= 4 +2*\sqrt{2*5}\\\\= 4 +2\sqrt{10}\)

Applying the definition of congruent triangles:

1. QS = 57 units; TV = 57 units

2. m∠B = 3°; m∠Q = 3°

The triangles that are congruent to each other have corresponding parts that are congruent, that is their corresponding sides and angles are equal to each other.

1. Given that triangles QRS and TUV are congruent triangles, therefore:

QS = TV [corresponding congruent sides]

QS = 4v + 5

TV = 5v - 8

Therefore:

4v + 5 = 5v - 8

4v - 5v = -5 - 8

-v = -13

v = 13

QS = 4v + 5 = 4(13) + 5 = 57 units

TV = 5v - 8 = 5(13) - 8 = 57 units

2. Given that triangles ABC and PQR are congruent, therefore:

m∠B = m∠Q

m∠B = 2v + 1

m∠Q = 8v - 5

Therefore:

2v + 1 = 8v - 5

2v - 8v = -1 - 5

-6v = -6

v = -6/-6

v = 1

m∠B = 2v + 1 = 2(1) + 1 = 3°

m∠Q = 8v - 5 = 8(1) - 5 = 3°

Learn more about congruent triangles on:

https://brainly.com/question/1675117

#SPJ1

5(6-2) represents a number that is five times the difference of six and two.

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

To know more about project management techniques and strategies, refer here:

https://brainly.com/question/32653641#

#SPJ11

Answer: (13 , 6)

9 + 17 / 2 = 13

4 + 8 / 2 = 6

Answer:

1. sliver's gym

2. sliver's gym

3. fitness planet

4. fitness:345 to sliver: 185

Step-by-step explanation:

1. with zero months

fitness planet cost is C = 22(0)+15= 15

sliver's gym cost is C = 15(0)+5= 5

2. sliver's gym because the rate of change is slower than fitness, resulting in you paying less for monthly memberships

3. Fitness planet because the rate of change is higher meaning that you will pay more for the monthly memberships.

4. Fitness planet C = 22(12)+15 = 345

Sliver's gym C = 15(12)+15 = 185

Answer:

False

Step-by-step explanation:

It has two parts that is separated by a minus.