HURRY PLEASE!!!
Mrs. Powell is hiking up to the highest peak at the Rocky Mountains. What kind of slope would she have?
a. negative
b.positive
c.zero
d. unidentified

Hi!

Its 24ab.

Hope this helps!

9514 1404 393

Answer:

  A) $157,555

Step-by-step explanation:

The sum of assets is ...

  house + 2 cars = $280,000 +5,200 +15,600 = $300,800

The sum of liabilities is ...

  mortgage +car loan +credit card +wedding

  = $113,545 +9,200 +2,300 +18,200 = $143,245

The family's net worth is the difference between assets and liabilities:

  $300,800 -143,245 = $157,555

Answer:

\({ \tt{f(x) = - 2x + 5}} \\ { \boxed{ \bf{f( - 3) = - 2( - 3) + 5 = 11}}} \\ \\ { \tt{g(x) = {x}^{2} - 1}} \\ { \boxed{ \bf{g(2) = {2}^{2} - 1 = 3}}} \\ f( - 3) + g(2) = 11 + 3 \\ = 14\)

The intended population based on the information given is LMC students.

The actual population based on the information illustrated is Transfer Academy.

The sample is the 25 friends that the student talked to.

Using the data, the student decides to interview 25 of her acquaintances from the Transfer Academy to learn whether LMC students prefer eating in or eating outside of the cafeteria.

According to the data shown, Transfer Academy is the actual population in this circumstance. It is important to remember that the sample represents the population.

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Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

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a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.

b. The total monthly contribution to the fund is $180.

The computation of FV in Excel is shown in the attachment below:

Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.

GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.

20 years is the age.

20 times 12 periods equals 240.

3% growth rate

The computation of FV in Excel is shown in the attachment below:

So, FV= $7,223,115.77

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The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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The length of ST is equal to 8 units.

Data;

The segment of a line is basically a straight line from one point to another.

The line segment is SU and the mid-point is TU

solving this mathematically,

\(SU = TU + ST\)

Substitute the values into the equation

\(su = tu + st\\18 = 10 + st\\st = 18 - 10\\st = 8\)

From the calculation above, the length of ST is 8.

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The area of ΔEFG is approximately 916 square centimeters.

Given that,

In ΔEFG

f = 88 cm ,

g = 18 cm

∠E=68°

To find the area of ΔEFG,

Use the formula:

Area = (1/2)xfxgxsin(∠E)

First, we need to convert the angle from degrees to radians.

We can do this by multiplying by π/180.

∠E = 68° * π/180 ≈ 1.19 radians

Next, we can plug in the values we have:

Area = (1/2)x88x18xsin(1.19)

        ≈ 915.56 cm²

Rounding this to the nearest square centimeter,

we get,

Area ≈ 916 cm²

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Answer:

2x - 19 + x + 4

Step-by-step explanation:

2x - 19 + x + 4

Answer:

t - 2 ≤ 0

Step-by-step explanation:

Given inequality
t- 2  ≤ 0

Add 2 on both sides of the inequality without changing the meaning

t - 2 + 2 ≤ 0 + 2

or

t ≤ 2

Looking at the number line given, we can see that all numbers to the left of 2 including 2 are part of the solution set

Hence the solution set graphed is t- 2  ≤ 0

Answer:

f(k) = 6

Step-by-step explanation:

See attachment:

Answer:

12 and 16

Step-by-step explanation:

Let the first number = x

the second number = x + 4 (since the difference between the numbers is 4)

x * (x+4) = 192       (product of the 2 numbers is 192)

x^2 + 4x -192 = 0

(x-12)(x-16) = 0

x = 12 or x = 16

Therefore the 2 numbers are 12 and 16

Answer:

155

Step-by-step explanation:

You must first subtract the lowest number (241) from the highest number (396) Then you get 155! I hope this helps!

The possible values of x will belong to the set A = [9, ∞).

We have the following inequality -

1 - 2x/3 ≤ -3

We have to determine all values of x.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

According to the question, we have the following inequality -

1 - 2x/3 ≤ -3

Subtract 1 from both sides -

-2x/3 ≤ -4

Multiply by -1 on both sides -

2x/3 ≥ 4

Multiply by 3/2 on both sides -

x ≥ 9

Hence, the possible values of x will belong to the set A = [9, ∞).

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Answer:

16 + (–7) + 22 + (–12)

Hope this helped!!!

Answer:

n3√m^2*n^2

 ^

 ll  the three up there is supposed to say cubed root but I couldn't get it to go there

Answer:

KRM = 44 degrees, MRD = 46 degrees

Step-by-step explanation:

This angle is a right angle so it equals 90 degrees. That means that equations 3g + 29 and 7g + 11 will amount to 90 degrees.

(3g + 29) + (7g + 11) = 90

Combine like terms:

10g + 40 = 90

10g = 50

g = 5

Plug in 5 to both equals (in this case the question only asks for 3g + 29 or KRM):

3(5) + 29 =

15 + 29 =

44 =

7(5) + 11 =

35 + 11 =

46 =

Answer:

z = 99

Step-by-step explanation:

\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )

\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )

z = 99

Answer:

The correct option is B. Pyramids have triangular faces and a polygonal base.

Answer:B. Pyramids have triangular faces and a polygonal base.

Step-by-step explanation:

A pyramid is a three-dimensional shape that has a polygonal base and triangular faces that meet at a single point called the apex. Here's how to identify which of the given descriptions best suits a pyramid:

A. Pyramids have polygonal faces and a triangular base.

This description is incorrect because pyramids have a polygonal base, not a triangular base.

B. Pyramids have triangular faces and a polygonal base.

This description is correct because it correctly identifies that pyramids have triangular faces and a polygonal (meaning multi-sided) base.

C. Pyramids have triangular faces and a circular base.

This description is incorrect because pyramids have a polygonal base, not a circular base.

D. Pyramids have polygonal faces and a polygonal base.

This description is partly correct because pyramids do have a polygonal base, but their faces are always triangular.

E. Pyramids have curved faces and a polygonal base.

This description is incorrect because pyramids have flat, triangular faces, not curved faces.

So, in summary, option B, "Pyramids have triangular faces and a polygonal base," is the description that best suits a pyramid.

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

Answer:

is this on your test?...or?

Step-by-step explanation:

Answer:

96

Step-by-step explanation

4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)

4(5 - 2)(5 + 3) = 12(8) = 96

7(5 - 2)(5 - 5) = 0

- 6(5 - 3)(5 - 5)= 0

96+0-0 = 96

The sum ​(5.3x+4​)+​(−4.7x+7​) is ​0.6x+11.

The sum of two or more numbers, magnitudes, quantities, or specifics as established by or as if determined by the mathematical addition process: 14 is the result of the combination of 6 and 8. a specific sum, particularly when referring to money: The costs were a huge amount. The outcome of adding two or more numbers or phrases is known as the sum in mathematics. As a result, the sum serves as a means of bringing everything together. To put it another way, combining two or more numbers yields a new outcome or sum.

(5.3x+4)+(-4.7x+7)

Determine the sign.

5.3x+4-4.7x+7

Combine like terms.

0.6x+11

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Answer:

1/2x + 8 < 10

Step-by-step explanation:

Answer:

\(x \leq 4\)

Step-by-step explanation:

Step 1:  Convert into an expression

1/2 x + 8 is less than or equal to 10

\(\frac{1}{2}x + 8 \leq 10\)

Step 2:  Subtract 8 from both sides

\(\frac{1}{2}x + 8 - 8 \leq 10- 8\)

\(\frac{1}{2}x \leq 2\)

Step 3:  Multiply both sides by 2

\(\frac{1}{2}x* 2 \leq 2 * 2\)

\(x \leq 4\)

Answer:  \(x \leq 4\)

The value of x is 14.

We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.

We have two sides measured 2x-9 and x+ 5.

From the figure the length of sides are equal then

2x-9 = x+ 5

2x- 9- x = 5

x-9 = 5

Add 9 to both sides of the equation:

x - 9 + 9 = 5 + 9

x= 14

Thus, the value of x is 14.

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Answer:It take her 20 minutes, but I dont know how to graph yet, so I can only tell you that xx=20