What is 7 1/5 + -3/5

Answer:

(x+7)(x+2)

Step-by-step explanation:

If we multiply it out we get:

x * x = x^2

7 * x = 7x

2 * x = 2x

7 * 2 = 14

Add it all, we get: x^2 +9x+14

Therefore these are the factors

Answer:

The first equals 7/10 while the other equals 6/10

Step-by-step explanation:

That's the answer

.

.

.

.

Answer:

Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively

Step-by-step explanation:

We have the functions, f(x) = eˣ and g(x) = x+6

So, their composition will be g(f(x)).

Then, g(f(x)) = g(eˣ) = eˣ+6

Thus, g(f(x)) = eˣ+6.

Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.

Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.

Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.

Answer:

It is not D!!!! it is not all real numbers for both! I got it wrong!

Step-by-step explanation:

edge 2021

i had answered saying it was D but then I got it wrong, so I can't just delete my answer. But I can say it is absolutely not D.

Answer:

Remainder = zero

Answer = (4x^3)  +(5x^2) -4x +3  or 4x³ +5x²-4x+3

Step-by-step explanation:

        (4x^3)  +(5x^2) -4x +3        

x-4√4x^4-11x^3-24x^2+19x-12               We multiply (x-4) by  4x³      

        4x^4-16x^3

       -          +          

                5x^3-24x^2+19x-12

                 5x^3-20x^2                          We multiply (x-4) by  +5x²    

                -          +        

                        -4x^2+19x-12

                         -4x^2+16x                          We multiply (x-4) by - 4x

                         +         -            

                                    3x-12

                                     3x-12                      We multiply (x-4) by +3

                                  -       +          

                                 zero remainder

We keep multiplying the factor  (x-4)  by different terms to get the first term desired in each step . Then we subtract by changing the signs and get the remainder.

The answer is the expression obtained at the top.

4x^4-11x^3-24x^2+19x-124 /x-4 = 4x³ +5x²-4x+3

Answer:

D.

Step-by-step explanation:

An excluded value often comes from a zero in the denominator.

Set each denominator equal to zero creating an equation in x. If there is a solution to the equation, then there are excluded values. If the equation has no solution, then there are no excluded values.

A.

2x^2 = 0

x = 0

excluded value

B.

3x + 3 = 0

3x = -3

x = -1

excluded value

C.

x² - 7 = 0

x² = 7

x = √7 or x = -√7

excluded values

D.

-x² - 5 = 0

x² = -5

x = √(-5) or x = -√(-5)

There is no real solution for x.

no excluded values

Answer: D

Answer: x=61 y=29

well all the angles have to add up to 360 so its pretty simple to find,

2y=58

y=58/2=29

y=29

58*2=116

360-116=244

244/2=122

2x=122

x=122/2=61

x=61

Explanation

Step 1

We know that the general equation for a circle is

where

(h,k) is the center of the circel

and r is the radius

then, all we need to do is replace

Let

replace the values

therefore, the answer is

I hope this helps you

To find the critical points of the function f(x,y)= x² + 18y² + 96x - 18y subject to the constraint 6x - 18y = 30, we can use the method of Lagrange multipliers.



Solving these equations simultaneously, we get:

x = -9, y = 1/2, λ = 7/4

Therefore, the critical point of the function is (-9, 1/2).
To find the critical points of the function f(x, y) = x² + 18y² + 9, subject to the constraint 6x - 18y = 30, using the method of Lagrange multipliers, follow these steps:

Step 1: Define the function and constraint.
Function: f(x, y) = x² + 18y² + 9
Constraint: g(x, y) = 6x - 18y - 30 = 0

Step 2: Set up the Lagrange multiplier equation.
∇f(x, y) = λ∇g(x, y)

Step 3: Compute the gradient of the function and the constraint.
∇f(x, y) = (df/dx, df/dy) = (2x, 36y)
∇g(x, y) = (dg/dx, dg/dy) = (6, -18)

Step 4: Set up the system of equations.
2x = λ(6)         (1)
36y = λ(-18)      (2)
6x - 18y - 30 = 0  (3)

Step 5: Solve the system of equations.
From (1): x = 3λ
From (2): y = -2λ
Plug x and y values from (1) and (2) into (3):
6(3λ) - 18(-2λ) - 30 = 0
18λ + 36λ - 30 = 0
54λ = 30
λ = 30/54 = 5/9

Step 6: Find the critical points.
x = 3λ = 3(5/9) = 5
y = -2λ = -2(5/9) = -10/9

The critical point of the function f(x, y) subject to the given constraint is (5, -10/9).

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The number (3×100)+(1×110)+(4×11,000) in standard form will be 4.4410 × 10⁴

It should be noted that standard form simply means a way of presenting numbers as a mathematical expression.

The number given is illustrated as:

= (3×100)+(1×110)+(4×11,000)

= 300 + 110 + 44000

= 44410

This will be expressed in standard form as:

= 4410

= 4.4410 × 10⁴

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The derivative of the function \(y = x^{2x^2}\) using logarithmic differentiation is \(\frac{dy}{dx} = x^{2x^2} (4x \ln(x) + 2x)\).

To find the derivative of the function \(y = x^{2x^2}\) using logarithmic differentiation, we follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

\(\ln(y) = \ln(x^{2x^2})\).

Step 2: Apply the properties of logarithms to simplify the equation. In particular, we can bring the exponent down in front of the logarithm:

\(\ln(y) = (2x^2) \ln(x)\).

Step 3: Differentiate implicitly with respect to \(x\) on both sides of the equation. Remember to use the chain rule on the right-hand side:

\(\frac{1}{y} \frac{dy}{dx} = (4x \ln(x) + 2x)\).

Step 4: Solve the equation for \(\frac{dy}{dx}\) by multiplying both sides by \(y\):

\(\frac{dy}{dx} = y (4x \ln(x) + 2x)\).

Step 5: Substitute back the original expression for \(y = x^{2x^2}\):

\(\frac{dy}{dx} = x^{2x^2} (4x \ln(x) + 2x)\).

Therefore, the derivative of the function \(y = x^{2x^2}\) using logarithmic differentiation is \(\frac{dy}{dx} = x^{2x^2} (4x \ln(x) + 2x)\).

Logarithmic differentiation is a useful technique for finding the derivative of functions that involve exponentials or products. By taking the natural logarithm of both sides, we can simplify the equation and differentiate implicitly, applying the chain rule as needed. The resulting expression gives us the derivative of the function.

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Answer:

\(m^4\\\)

Step-by-step explanation:

M times itself 4 times is denoted by \(m^4\)

Answer:

m⁴

Step-by-step explanation:

m*m*m*m = m⁴, as you're multiplying it 4 times

The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

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Answer:

It is congruent doe to the angle side angle congruence thereom AKA ASA

Step-by-step explanation:

That means there are two angles and one side in between. A pair of triangles  that follow this rule has an angle that is congruent to one angle. Then a side that has a tick mark after the angle must match another. Then the last angle has to match another angle ( and it can't be the same angle as before).  Usually the first pair angles have 1 semicircle and the second pair has 2 semicircles.

The correct answer is C. The more volunteer divers that participate, the faster the recovery attempt can occur.

There are numerous dangers to coral reefs, such as:

Climate Change - Coral bleaching is brought on by rising sea temperatures, which can result in coral death.

Pollution: Excess nutrients in the water from runoff from agriculture, sewage, and other sources can result in algae blooms that prevent coral from receiving sunlight, which ultimately kills the coral.

Overfishing - Removing an excessive number of fish can upset the delicate balance of the reef ecosystem and harm the coral.

Since they can contribute more labour to aid in the restoration and maintenance of coral reefs, volunteer divers are crucial to the rescue operations of coral reefs.

Hence, the correct answer is C. The more volunteer divers that participate, the faster the recovery attempt can occur.

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Step-by-step explanation:

umm what grade is u im only in  6th i wannna help u

Answer:

44 months

Step-by-step explanation:

If you subtract 24,000 by 2,000 it equals 22,000 then you divide that by 5 and have 44

Answer:

44 months

Step-by-step explanation:

24000 - 2000= 22000

500 x 44= 22000

Answer:

n< 7/2 or n< 3.5

Step-by-step explanation:

3n -11 > 5n -18

subtract  3n on both sides:

-11 > 2n-18

Add 18 on both sides:

7 > 2n

7/2 > n

n< 7/2

On number line ,from zero,count 3.5 to the right When you reach 3.5, draw an open circle since 3.5 is not included (don't fill the circle)

GIVEN:

We are given a circle with center A and diameter CB.

The length of arc CDB is 14;

Required;

We are required to calculate the lenght of the radius.

Step-by-step solution;

The length of an arc with the central angle measured in radians is;

The length of the arc is given, so also is the angle theta (180 degrees, that is half the circle).

We can convert the degree measure of the angle into radians as follows;

Now we substitute the value of d (degree measure);

Now we take the formula for the length of an arc as follows;

Divide both sides by pi;

Therefore, the radius is

ANSWER:

Answer:

Below

Step-by-step explanation:

y ( 5.98x - 5.81) - 2.19 y =

5.98xy - 5.81y      - 2.19 y

5.98xy + ( - 5.81y - 2.19 y)

5.98xy + ( - 8y )

5.98xy - 8y       or   y ( 5.98x-8)

The maximum difference in radius for 295/75R22.5 trailer tires is 0.625 inches.

The tire size 295/75R22.5 represents certain measurements. The first number, 295, refers to the tire's width in millimeters. The second number, 75, represents the aspect ratio, which is the tire's sidewall height as a percentage of the width. The "R" stands for radial construction, and the number 22.5 denotes the diameter of the wheel in inches.

To calculate the maximum difference in radius, we need to determine the difference between the maximum and minimum radius values within the given tire size. The aspect ratio of 75 indicates that the sidewall height is 75% of the tire's width.

To find the maximum radius, we can calculate:

Maximum Radius = (Width in millimeters * Aspect Ratio / 100) + (Wheel Diameter in inches * 25.4 / 2)

For the given tire size, the maximum radius is:

Maximum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 388.98 mm

Similarly, we can find the minimum radius by considering the minimum aspect ratio value (in this case, 75) and calculate:

Minimum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 368.98 mm

The difference in radius between the maximum and minimum values is:

Difference in Radius = Maximum Radius - Minimum Radius ≈ 388.98 mm - 368.98 mm ≈ 20 mm

Converting this to inches, we have:

Difference in Radius ≈ 20 mm * 0.03937 ≈ 0.7874 inches

Therefore, the maximum difference in radius for 295/75R22.5 trailer tires is approximately 0.7874 inches, which can be rounded to 0.625 inches.

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To find the volume of the solid obtained by rotating the region between y=2x and the y-axis from y=0 to y=5 about the y-axis, we can use the method of disks.

Each disk will have a radius equal to the x-coordinate of the function y=2x, and the thickness of each disk will be a small change in y. The volume of each disk can be approximated as π(radius)^2(thickness).

Integrating these volumes over the interval [0,5], we can find the total volume:

V = ∫[0,5] π(2x)^2 dy

V = π∫[0,5] 4x^2 dy

V = π * [4/3 * x^3] from 0 to 5

V = π * (4/3 * 5^3 - 4/3 * 0^3)

V = π * (500/3)

Therefore, the volume of the solid obtained is (500/3)π cubic units.

-----------------------------

To find the volume of the solid obtained by rotating the region between y=x and y=x^2 from x=0 to x=1 about the horizontal line y=4, we can use the method of washers.

Each washer will have an outer radius equal to the x-coordinate of the function y=x and an inner radius equal to the x-coordinate of the function y=x^2. The thickness of each washer will be a small change in x. The volume of each washer can be approximated as π(outer radius^2 - inner radius^2)(thickness).

Integrating these volumes over the interval [0,1], we can find the total volume:

V = ∫[0,1] π[(x)^2 - (x^2)^2] dx

V = π∫[0,1] (x^2 - x^4) dx

V = π * [(1/3 * x^3) - (1/5 * x^5)] from 0 to 1

V = π * [(1/3 * 1^3) - (1/5 * 1^5) - (1/3 * 0^3) + (1/5 * 0^5)]

V = π * (1/3 - 1/5)

V = π * (5/15 - 3/15)

V = π * (2/15)

Therefore, the volume of the solid obtained is (2/15)π cubic units.

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Answer:

13/ 14 the first one

Step-by-step explanation:

Answer:

Step-by-step explanation:

2y + 14.6m + 3.8 - 34.8m - 15.6 -2y

-20.2m -11.8

The solution of the system of equations that is given is (2,-1).

Given a system of equations are 5x+y=9 and 3x+2y=4.

A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.  A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.

The given equations are

5x+y=9    ......(1)

3x+2y=4  ......(2)

Here, the substitution method is used to solve the system of equations.

Find the value of y from equation (1) by subtracting 5x from both sides.

5x+y-5x=9-5x

y=9-5x

To find the value of x substitute the value of y in equation (2).

3x+2(9-5x)=4

Apply the distributive property a(b+c)=ab+ac as

3x+2×9-2×5x=4

3x+18-10x=4

Combine the like terms on the left side as

-7x+18=4

Subtract 18 from both sides and get

-7x+18-18=4-18

-7x=-14

Divide both sides by -7 and get

(-7x)÷(-7)=(-14)÷(-7)

x=2

Substitute the value of x in equation (1) and get

5(2)+y=9

10+y=9

Subtract 10 from both sides

10+y-10=9-10

y=-1

Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).

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Answer:

One solution. The lines do not have the same slope (so not parallel) and are not the same line (so not infinitely many solutions). It intersects at one point, therefore it has one solution.

Step-by-step explanation:

I attached the work for your question. Please see the attachment.

Answer: n = 10

Step-by-step explanation:

Dividing exponents results to subtracting them. 8-(-6) is 14. Multiplying negative numbers together results in positive numbers. the exponent 14 - 4 is 10. So n = 10.

Answer: wider distribution.

Step-by-step explanation:

Answer:

sorry im not sure

Step-by-step explanation: