Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
7 dx/ x(x4 + 4)

Step-by-step explanation:

s:t=2:3

t:u=2:3

s:u=?

s/u=2/3

With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.

Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.

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The constraints that are suitable for the situation are x≥4y , 7.50x+4.75y≤125 , x>0 and y>0 .

In the question it is given that

"x" represent the number of yellow rosebushes.

"y" represent the number of red rosebushes.

The word "at least' means "≥".

So "at least 4 times as many yellow rosebushes as red rosebushes" means x≥4y .  (constraint 1)

The number of red or yellow rosebushes cannot be negative .

So , x>0 (constraint 2)

y>0   (constraint 3)

Also ,

the cost of each yellow rosebushes = $7.50

number of yellow rosebushes = x

total cost of yellow rosebushes =7.50x

the cost of each red rosebushes = $4.75

number of yellow rosebushes = y

total cost of yellow rosebushes =4.75y

According to the question ,

she can spend no more than $125  , that means

7.50x+4.75y≤125  ( constraint 4)

Therefore , the constraints that are suitable for the situation are x≥4y , 7.50x+4.75y≤125 , x>0 and y>0 .

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Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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Answer:

198 in²

Step-by-step explanation:

triangle (A=1/2)bh [A=1/2(22×8)] b=22 H=8

rectangle (A=bh) [A= 22×5] B=22 H=5

triangle = 88

rectangle = 110

So, 88+110 = 198

Answer:

A

Step-by-step explanation:

the other options have a common difference

Answer:

A is not arithmetic series

Step-by-step explanation:

In B,C and D there is arithmetic series as a2-a1=a3-a2

In A. there is no such series.....

Answer:

Step-by-step explanation:

4x+3(x+2)=4x+3x+6=7x+6

4x+3(x-2)=4x+3x-6=7x-6

4x-3(x-2)=4x-3x+6=x+6

-4x+3(x+2)=-4x+3x+6=-x+6

Answer:

8 times due to 48 divided by 6 is 8

Step-by-step explanation:

Answer: 0.28571428571

Step-by-step explanation: 8 dived by 28

The measure of angle A in the isosceles triangle ABC is 62.5 degrees.

In an isosceles triangle ABC, where AB = AC, we are given that angle B (denoted as ∠B) measures 55 degrees. We need to calculate the measure of angle A (denoted as ∠A).

Since AB = AC, we know that angles A and C are congruent (denoted as ∠A ≅ ∠C). In an isosceles triangle, the base angles (the angles opposite the equal sides) are congruent.

Therefore, we have:

∠A ≅ ∠C

Also, the sum of the angles in a triangle is always 180 degrees. Hence, we can write:

∠A + ∠B + ∠C = 180

Substituting the given values:

∠A + 55 + ∠A = 180

Combining like terms:

2∠A + 55 = 180

Subtracting 55 from both sides:

2∠A = 180 - 55

2∠A = 125

Dividing by 2:

∠A = 125 / 2

∠A = 62.5

Therefore, the measure of angle A in the isosceles triangle ABC is 62.5 degrees.

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The number of students in the 8th grade class = 122

In this question, we have been given the number of students in the 8th grade class = x

The 7th grade class has 140 students.

Also, we have been given, there are 18 more students in the 7th grade class than the number x in the 8th grade class.

So, from given information we get an equation,

x + 18 = 140

We need to find the value of x i.e., the number of students in the 8th grade class.

We solve above equation,

x + 18 = 140

x = 140 - 18

x = 122

Therefore, the number of students in the 8th grade class = 122

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Answer:25.2

Step-by-step explanation:

To find the value of x, we first need to find the missing angle value, which is 180-90-59, making it 31.

Now that we have that value, we can use SOH to find the hypotenuse.

The equation would look something like this:

\(\sin\left(31\right)=\frac{13}{x}\)

Which we can change to get the x value like this:

\(\frac{13}{\sin\left(31\right)}=x\)

This makes the X value equal to 25.241.

Since you need it as the nearest tenth, you can round it down to 25.2.

No, he should not be surprised. New Jersey Transit claims that the 8:00 a.m. train arrives late in New York on an average of 15 days a month. This means that the probability of the train arriving late on 3 or more days in a month is relatively high.  

To estimate this probability, one can carry out a simulation. First, generate a list of 20 random numbers between 0 and 1. Each number represents a day in the month and the probability of the train arriving late. Next, assign each number a value of 1 if it is less than or equal to 0.15 (the probability of the train arriving late on any given day), and 0 if it is greater than 0.15. This represents the arrival status of the train on each day.

Finally, sum the list of numbers to obtain the total number of days the train arrived late. Repeat this process multiple times and calculate the probability of the train arriving late on 3 or more of the 20 days.

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Answer:

The photo is not showing up

Answer:

No point,One Point.Reflex Angle Formed .

Answer:

No, r=2 is not a solution

Step-by-step explanation:

r=2 + 4 >8

2+4>8

6>8 = NO

Answer:

No

Step-by-step explanation:

\(r+4>8\\\\r>8-4\\\\r>4\)

so r=2 cannot be a solution

a solution could be

5

6

7

Using a trigonometric ratio we can find the value of x is approx 4.76

What is trigonometric function?

Mathematical trigonometric functions connect the angle of a right-angled triangle to the ratios of its two side lengths. In all areas of study that involve geometry, such as geodesy, solid mechanics, celestial mechanics, and many others, they are widely used. Fourier analysis is commonly used to study periodic events since it is one of the most fundamental periodic functions.

An essential trigonometric function that can be used to calculate the value of "x" is the tangent function.

Given :

The right-angle triangle ABC.

AB = x

BC = 4

∠A=40°

We know,

tanθ= P/B

Where the perpendicular is P and  the base is B of the given triangle.

So, tan40°= 4/x

X=4/tan40°

X≅4.76

Hence the value of x is 4.76.

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Answer: what is the question

Step-by-step explanation:

The probability of the coins penny and nickel both should show heads when four coins flip simultaneously is equal to 1/4.

As given in the question,

Number of coins flip simultaneously = 4

Possible outcomes on flipping a outcome = { head , tail}

Total outcomes = 2

Probability of getting a head for each coin = 1 /2

Probability of getting heads on both the coins penny and nickel

= ( 1 / 2 ) × ( 1 / 2 )

= ( 1 / 4 )

Therefore, the probability of getting heads on both the coins penny and nickel is equal to 1 / 4.

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Answer:

2x + 12 = 64

x = 26 (mark brain if this helps and is correct)

Step-by-step explanation:

to solve equations with one missing variable we must use the order of operations of equality

step 1: use the subtraction property of equality meaning subtract each side of the equation

ex: 2x + 12 - 12 = 64 - 12   (2x = 52)

step 2: use the division property of equality meaning divide each side of the equation by 2

ex: 2x/2 = 52/2   (x = 26)

step 3: check your answer by putting 26 as x because that is our answer

2(26) + 12 = 64 (multiply 2 * 26)

52 + 12 = 64 (add 52 + 12)

64 = 64 (if both sides of the equation are the same number like 64 = 64 then your answer is true meaning that x is equal to 26)

Required area of the composite figure is 69 cm²

What is area of a composite shape?

the area covered by any composite shape. A composite shape is a shape in which some polygons are put together to form the required shape is called the area of composite shapes . These figures can consist of combinations of triangles, rectangles, squares etc. To determine the area of composite shapes, divide the composite shape into basic shapes such as square, rectangle,triangle, hexagon, etc.

Basically, a compound shape consists of basic shapes put together. This is also called a "composite" or "complex" shape. This mini-lesson explains the area of compound figures with solved examples and practice questions.

Here in this figure, we have two figures.

First one is rectangle and second one is triangle.

Length and breadth of the rectangle are 12 cm and 4 cm respectively.

So, area = Length × Breadth = 12 × 4 = 48 cm²

Again height of the triangle is (11-4) = 7 cm and base of the triangle is (12-6) = 6 cm.

So, area of the triangle = 1/2 × 7 × 6 = 3×7 = 21 cm²

Now if we add both area of rectangle and triangle then we will get area of the composite figure.

So, required area of the composite figure is ( 48+21) = 69 cm²

Therefore, option A is the correct option.

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The graph of the transformed function is the second one.

Here we know that f(x) is the parent absolute value function f(x) =|x|

And g(x) is a transformation of it, we can write:

g(x) = -|x +2| + 3

So, we can write this as:

g(x) = -f(x + 2) + 3

This is:

A reflection across the x-axis, followed by a translation of 2 units to the left, followed by a translation of 3 units up.

Then we can see that the correct option is the one with the vertex at (-2, 3) and that opens downwards. Which is the second graph in the given image.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Model

1 / 4 in = 1 1/2 ft

dimensions of the kitchen

2 1/2 in by 3 in

Step 02:

Step 03:

1 / 4 in = 3 / 2 ft

The answer is:

b. 15 ft by 18 ft

Binocular vision is used to perceive depth. When Brandon looks out into the forest, he uses binocular vision to determine how far away objects are in the forest. He uses the concept of the figure-ground relationship to identify trees and other figures in the forrest as separate from the background. The act of seeing or looking itself requires transduction. Light that hits his eyes undergoes a process called phototransduction in which light is converted to electrical signals which then move through different types of cells. Ultimately these signals are sent to a part of the brain called the occipital lobe where they are converted into an image in the brain.  

Brandon's dog begins to growl as a result of natural selection. Dogs who growled at potential predators were more likely to scare away the predator and survive. As a result, the dog growls when it sees a potential predator. When Brandon's dog starts growling, Brandon becomes fearful that there might be something in the forest. As a result of this fear, his body initiates a sympathetic response, releasing epinephrine into the body. This epinephrine acts on the heart and causes his pulse to increase. He also utilizes his peripheral nervous system to increase the strength of his grip on the leash

The car drive 36,666.66 miles in 5 year.

Given:

A car drove 22, 000 miles in 4 months.

So, in one year the car drive

= 22,000 x 4/12

and, in 5 year the Car drove

= 22,000 x 4/12 x 5

= 36,666.66 miles

Hence, the car drive 36,666.66 miles.

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Solution

Step 1:

Write the coordinate of point D = (- 9, 4 )

Step 2:

The rule for reflection over x-axis

A reflection of a point over the x -axis is shown. The rule for a reflection over the x -axis is (x,y)→(x,−y) .

Step 3

D = (- 9, 4 )

D' = (- 9, -4 )

Step 4

To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .

D' = (- 9, -4 )

D'' = (- 9+3, -4 )

D'' = (- 6, -4 )

Final answer

A. (- 6, -4 )