Order from greatest to least : 0.8; 8.83; 0.083; 80.83

Answer:

5^4x+3 ×100^-2x+1=50000

5^4x×100^-2x=49996

isolate the variable by dividing each side by factors that don't contain the variable. Exact Form: x = 8 √ 12499 ,  Decimal Form: x = 894.39141319 …

Answer:

z ≤ 17

Step-by-step explanation:

Step 1: Subtract 37 from both sides.

Answer:27/ 72 or 3/8

Step-by-step explanation:

Trust me

The average rate of change of an exponential function can be calculated by finding the difference in function values at the endpoints of the given interval and dividing it by the difference in the corresponding x-values.

In this case, since the table represents values of an exponential function, we'll use the formula for average rate of change to determine the value. Let's assume the table contains the following values: |  x  |  y  |
| --- | --- |
|  2  |  8  |
|  4  |  32 |

To calculate the average rate of change for the interval from x=2 to x=4, we first find the difference in y-values: 32 - 8 = 24. Next, we calculate the difference in x-values: 4 - 2 = 2. Finally, we divide the difference in y-values by the difference in x-values: 24 / 2 = 12. Therefore, the average rate of change for the given exponential function over the interval from x=2 to x=4 is 12. This means that, on average, the function is increasing by 12 units for every unit increase in x within the specified interval.

The average rate of change is a measure of how the output of a function changes on average over a given interval. For an exponential function, it can be determined by calculating the difference in function values at the endpoints of the interval and dividing it by the difference in the corresponding x-values . In this case, the average rate of change for the function represented by the given table is found to be 12, indicating an average increase of 12 units in the function's output for every unit increase in the input from x=2 to x=4.

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Answer:

R (3,-2) S(5,2) T(6,0)

Step-by-step explanation:

Answer:

the answer for this question is -3,248

The higher order partial derivatives are: (A) ∂2z/∂x∂y = 0, (B) ∂2z/∂x2 = -1/(x+y)²,and (C) ∂2z/∂y2 = 2

To find the higher-order partial derivatives of the given function ln(x+y) = y² + z, let's first find the first-order partial derivatives:
∂z/∂x: Differentiate with respect to x, treating y and z as constants.
∂(ln(x+y))/∂x = ∂(y² + z)/∂x
1/(x+y) = 0 + ∂z/∂x
∂z/∂x = 1/(x+y)
∂z/∂y: Differentiate with respect to y, treating x and z as constants.
∂(ln(x+y))/∂y = ∂(y² + z)/∂y
1/(x+y) = 2y + ∂z/∂y
∂z/∂y = 1/(x+y) - 2y
Now let's find the higher-order partial derivatives:
(A) ∂²z/∂x∂y: Differentiate ∂z/∂x with respect to y.
∂(1/(x+y))/∂y = -1/(x+y)²
(B) ∂²z/∂x²: Differentiate ∂z/∂x with respect to x.
∂(1/(x+y))/∂x = -1/(x+y)²
(C) ∂²z/∂y²: Differentiate ∂z/∂y with respect to y.
∂(1/(x+y) - 2y)/∂y = -1/(x+y)² - 2
So the higher order partial derivatives are:
(A) ∂²z/∂x∂y = -1/(x+y)²
(B) ∂²z/∂x² = -1/(x+y)²
(C) ∂²z/∂y² = -1/(x+y)² - 2

To find the higher-order partial derivatives, we first need to find the first-order partial derivatives:
∂z/∂x = 1/(x+y)
∂z/∂y = 2y
Now, we can use these first-order partial derivatives to find the second-order partial derivatives:
(A) ∂2z/∂x∂y = ∂/∂x(∂z/∂y) = ∂/∂x(2y) = 0
(B) ∂2z/∂x2 = ∂/∂x(∂z/∂x) = ∂/∂x(1/(x+y)) = -1/(x+y)²
(C) ∂2z/∂y2 = ∂/∂y(∂z/∂y) = ∂/∂y(2y) = 2
Therefore, the higher-order partial derivatives are:
(A) ∂2z/∂x∂y = 0
(B) ∂2z/∂x2 = -1/(x+y)²
(C) ∂2z/∂y2 = 2

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Answer:

Step-by-step explanation:

To find the total area of the track, we need to calculate the area of each section and then add them together.

Area of a semi-circle with radius 31m:

A = (1/2)πr^2

A = (1/2)π(31m)^2

A = 4795.4m^2

Area of a rectangle with length 92.7m and width 31m (the straight parts):

A = lw

A = (92.7m)(31m)

A = 2873.7m^2

To find the total area, we need to add the areas of the two semi-circular ends and the two straight sections:

Total area = 2(Area of semi-circle) + 2(Area of rectangle)

Total area = 2(4795.4m^2) + 2(2873.7m^2)

Total area = 19181.6m^2

Rounding this to 1 decimal place, we get:

Total area ≈ 19181.6 m^2

Therefore, the total area of the track is approximately 19181.6 square meters.

The values for a and b in the given exponential function are a = 4 and b = 1/2

An exponential function is a mathematical function used to calculate the exponential growth or decay of a given set of data.

For example, exponential functions can be used to calculate changes in population, loan interest charges, bacterial growth, radioactive decay or the spread of disease.

Given that,

The exponential function is given as, y = abˣ, we need to find the value of a and b,

When x = 0, ab⁰ = 4

a=4 (since, b⁰ = 1)

When x = 1, ab¹ = 2

4b = 2

b = 1/2

Hence, The values of a and b are a = 4 and b = 1/2

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Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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To calculate the mass of the Earth, we can use the following formula:

M = (4π²rₑₘ³) / (Gtₘ²)

Where:

M is the mass of the Earth

rₑₘ is the distance from the center of the Earth to the center of the Moon (384 million meters)

G is the gravitational constant (approximately 6.67430 x 10^-11 m³/(kg·s²))

tₘ is the orbital period of the Moon around the Earth (27.3 days converted to seconds)

Let's plug in the values and calculate the mass of the Earth:

M = (4π² * (384 x 10^6)³) / (6.67430 x 10^-11 * (27.3 x 24 x 60 x 60)²)

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Answer:Michelle

And 50

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) edj

b) ed

c) i think ag

Answer:420

Step-by-step explanation:

600 x 0.70 is 420. so 600 minus 420 is 180

A vertical translation (5 units up) is applied on quadratic function f(x) = x².

In this problem we find the representation of quadratic function and its image on Cartesian plane. The image is the consequence of using a vertical translation, whose definition is now introduced:

g(x) = f(x) + k

Where k is the y-coordinate of the quadratic function.

If we know that f(x) = x² and k = 5, then the image of the function is:

g(x) = x² + 5

The image is the result of a vertical translation (5 units up).

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In this case the answer is very simple. .

Step 01:

Data

side a = 8m

side b = 15m

c = hypotenuse = ?

Step 02:

Pythagoras Theorem Formula

Hypotenuse² = Perpendicular² + Base²

c² = a² + b²

c ² = (8m)² + (15m)²

c ² = 64m² + 225m²

c ² = 289m²

Answer:

180°

Step-by-step explanation:

Alex babysat for a total of 8 hours to earn $48, which, combined with his $20 allowance, sums up to the $68 he received from his mom.

To find out how many hours Alex babysat, we can subtract his $20 allowance from the total amount he received and then divide the remaining amount by his hourly rate of $6.

Total babysitting earnings = $68 - $20 = $48

Hours babysat = Total babysitting earnings / Hourly rate = $48 / $6 = 8 hours

Therefore, Alex babysat for 8 hours.

To determine the number of hours Alex babysat, we start by subtracting his $20 allowance from the total amount of money he received. This leaves us with the amount he earned solely from babysitting, which is $48 ($68 - $20).

Next, we divide the total babysitting earnings by his hourly rate of $6. This division represents the number of hours Alex babysat to earn that amount. By dividing $48 by $6, we find that Alex babysat for 8 hours.

Essentially, we are using the equation: Earnings = Rate × Time, where the earnings are $48, the rate is $6 per hour, and we are solving for the time (hours) babysat. Rearranging the equation, we get Time = Earnings / Rate, which gives us the result of 8 hours.

Hence, based on the given information, Alex babysat for a total of 8 hours to earn $48, which, combined with his $20 allowance, sums up to the $68 he received from his mom.

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Answer: 26.11

Step-by-step explanation:

73.18 - 5.23 × 90 = 73.18 - 47.07 = 26.11

Answer:

As engine size increases, highway mileage decreases.

Step-by-step explanation:

Answer:

175 degrees

Step-by-step explanation:

So we see that this is a supplementary angle, which means it is equal to 180/ So set the equations up and solve for x:

\(180=29+(x-5)\\180=24+x\\156=x\\\)

Then, plug 156 back into the equation:

\(180-5\\175\)

Therefore, your answer is 175 degrees

Answer:

b. His t-score is 40.

Step-by-step explanation:

The middle of the third stanine in a normal distribution means that the standard of nine that is applied has the middle of the third count.

It means that if we divide the normal distribution with the standard of nine we will find the score to be  the middle of the  third division.

So it will be (1/3*9=3) more than 3.

Which in normal distribution will be more than 30.

The t distribution is approximately normal when the number of degrees of freedom is greater than 30 .

So the best answer is that His t-score is 40  ( choice b).

A polynomial function of degree n has at most n real zeros and at most n-1 turning points.

What is polynomial function ?

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only involves non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

What isa Zeros of Polynomials?

Every polynomial will have as many zeros as its degree if we are able to factor it over the entire set of complex numbers, though some of these zeros are repeated and therefore counted more than once. As the function might not be fully factorable over the set of real numbers, if we limit ourselves to the set of real numbers, we might or might not be able to identify this many zeros.

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Answer:

A plant with yellow leaves and stunted growth is likely deficient in nutrients such as nitrogen, iron, magnesium or sulfur. It could also be affected by a viral or fungal infection, or an environmental stressor such as too much or too little water, poor soil quality or exposure to extreme temperatures. A soil test or analysis of the plant's symptoms can help identify the specific cause of the deficiency and appropriate treatment or management practices.

Step-by-step explanation:

The inverse function of f(x) = 1/2x + 1/4 is f-1(x) = 2x - 1/2

The function is given as:

f(x) = 1/2x + 1/4

Rewrite the function as

y = 1/2x + 1/4

Swap the positions of x and y

x = 1/2y + 1/4

Multiply through by 4

4x = 2y + 1

Subtract 1 from both sides

2y = 4x - 1

Divide by 2

y = 2x - 1/2

Rewrite as an inverse function

f-1(x) = 2x - 1/2

Hence, the inverse function of f(x) = 1/2x + 1/4 is f-1(x) = 2x - 1/2

See attachment for the graph of the inverse function

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Answer:

Step-by-step explanation:

e graph opens upward, and it has a vertex of (0,0)

What is vertex?

The vertex of an equation is the minimum or the maximum point on the graph of the equation

The equation of the graph is given as:

The above equation represents an absolute value function

An absolute value function is represented as:

So, by comparison, we have:

This means that the graph opens upward, and it has a vertex of (0,0)

See attachment for the graph of

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The simplified form of the expression ( 1/10 ) - 30 is -299/10 or -29 9/10.

Given the expression in the question;

( 1/10 ) - 30

To solve the expression (1/10) - 30, we need to first find a common denominator for the two terms in the expression.

The common denominator between 1/10 and 30 is 300, so we can rewrite the expression as:

(1/10) - 300/10

Now we can combine the two terms by subtracting the second term from the first:

(1/10) - 300/10 =

(1 - 300 )/10

-299/10

Convert -299/10 to mixed fraction

-29 9/10

Therefore, the solution to (1/10) - 30 is -299/10 or -29 9/10.

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