will pay $5 to whoever solves this :)

The base of the triangle is decreasing at a rate of 36/19 cm/min when the altitude is 9.5 cm and the area is 94 sq cm.

We can differentiate composite functions using the chain rule in calculus. Any function that is created by fusing two or more other functions is referred to as a composite function. According to the chain rule, if y = f(g(x)), and f and g are both differentiable functions, then the derivative of y with respect to x is given by:

dy/dx = f'(g(x)) * g'(x)

Given that, the altitude is 9.5 cm and the area is 94 sq cm.

The area of the triangle is given as:

A = 1/2(b)(h)

Differentiating both sides with respect to time we have:

dA/dt = 1/2[(db/dt)(h) + b(dh/dt)

Now,

dA/dt = 2 and dh/dt = 2.

Substituting the values we have:

2 = (1/2) * (db/dt * 9.5 + b * 2)

4 = db/dt * 9.5 + 2b......(1)

Using the area of triangle we know that:

Area = (1/2) * b * h

94 = (1/2) * b * 9.5

b = 20

Substituting the value of b in equation 1 we have:

4 = db/dt * 9.5 + 40

db/dt = - 36/19 cm/min

Hence, the base of the triangle is decreasing at a rate of 36/19 cm/min when the altitude is 9.5 cm and the area is 94 sq cm.

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Answer:

-37.5 m

Step-by-step explanation:

If we assume that "one full day" is 24 hours, then 15 hours represents the fraction 15/24 of a day. Since the drilling rate was constant, and was presumed to start from a height of 0, the height after 15 hours is that fraction of the day's work:

... (15/24)×(-60 m) = -37.5 m

Answer:

-218.75

Step-by-step explanation:

you probably don't need the answer anymore but I still thought I should put it out there

We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

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Answer:

Function, function

Step-by-step explanation:

Each input corresponds to one output. Thus, by the definition of a function, both graphs represent functions

Answer:

2x-9

Step-by-step explanation:

substitute g into f

2(x-5)+1

2x-10+1

2x-9

Answer:

I think its C

Step-by-step explanation:

Answer:

5, 25, 28, 35, 56, 75 80 are not the factors of 42

The remainder you got when 3x³ - 5x² - 23x + 24 is divided by x - 3 is -9.

Polynomials are expressions in algebra which consist of both variables and coefficients. Sometimes, variables are also known as indeterminates. Polynomials are classified as monomials, binomials, and trinomials based on the degree of the variables in the expression.

Variables in the monomials, binomials and trinomials have the highest degree equals 1, 2 and 3 respectively.

By doing the long division method, we will bet the quotient as 3x² + 4x - 11 and the remainder equals -9.

Let's check this using division algorithm.

Dividend = 3x³ - 5x² - 23x + 24

Divisor = x - 3

Quotient = 3x² + 4x - 11

Remainder = -9

By division algorithm,

Dividend = (Divisor × Quotient) + Remainder

3x³ - 5x² - 23x + 24  = [(x - 3) (3x² + 4x - 11)] + -9

                                 = [3x³ + 4x² - 11x - 9x² - 12x + 33] + -9

                                 = 3x³ + 4x² - 9x² - 11x - 12x + 33 - 9

                                 = 3x³ - 5x² - 23x + 24

Hence -9 is the remainder of this division process.

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The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

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Answer:

Rewrite \(csc^4x-cot^4x\) by applying exponent rule \(a^{bc}=(a^b)^c\):

\(\implies (csc^2x)^2-(cot^2x)^2\)

Apply difference of two squares formula \(x^2-y^2=(x+y)(x-y)\):

\(\implies (csc^2x+cot^2x)(csc^2x-cot^2x)\)

Using trig identity \(1+cot^2x=csc^2x \implies 1=csc^2x-cot^2x\)

\(\implies (csc^2x+cot^2x)(1)\)

\(\implies csc^2x+cot^2x\)

Answer: 16

Step-by-step explanation:

To get from 3 to 12, you multiply by 4

To get from 5 to 20, you multiply by 4

So you just multiply 4 by 4 to get x

Answer:

x = 16

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{x}{4}\) = \(\frac{20}{5}\) = 4 ( multiply both sides by 4 to clear the fraction )

x = 16

Answer: 141%

Step-by-step explanation:

First, put What percent of 96 is 135.36 into an equation, when the missing percent is x:

96x=135.36

Then, divide each side by 96:

96x/96 = 135.36/96

Which means you get x = 1.41

Last, turn 1.41 into a percent by multiplying by 100:

1.41(100) = 141

So, 141% of 96 is 135.36

I hope this makes sense! :)

A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

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Answer:

This spinner can be designed in 5040 ways.

Step-by-step explanation:

Number of possible arrangements:

The number of possible arrangements of n elements is given by:

\(A_{n} = n!\)

In this question:

7 colors, so:

\(A_{7} = 7! = 5040\)

This spinner can be designed in 5040 ways.

Answer:

  y = -4(x +2)² +7

Step-by-step explanation:

You want the equation of the parabola with vertex (-2, 7) that passes through point (-1, 3).

The vertex form of the equation of a parabola is ...

  y = a(x -h)² +k . . . . . . . . vertex (h, k)

We can use (x, y) = (-1, 3) and (h, k) = (-2, 7) to find the value of 'a'.

  3 = a(-1 -(-2))² +7 = a +7

  -4 = a . . . . . . . . subtract 7

Then the vertex form equation for the parabola is ...

  y = -4(x +2)² +7

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The width of the path is given as 2

width of path = x meters

length of field + path= 16 + x + x = 16 + 2x

breadth of field + path = 10 + x + x = 10 + 2x

area of path - area without path = area

(16 + 2x) (10 + 2x) - 16 * 10 = 120

Open the bracket

160 + 32x + 20x + 4x² - 160 = 120

4x² + 52x - 120 = 0

we have to solve for x values using the quadratic equation formula

the output is in the attachment

we have x = 2 and x = -15

since x cannot be negative, the width of the path is 2

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Step-by-step explanation:

no

rational is found in fraction

Answer:

No.

Step-by-step explanation:

It is not a rational number because the resulting numbers can't be expressed as the ratio of 2 integers.

Answer:

4 - 7x = 15

Step-by-step explanation:

I think not sure

Answer:

The correct answer is option 4. The slope of -y = -x + 5 is 1.

Step-by-step explanation:

Answer:

first option

hope this is helpful

The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).

In the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.

To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).

If we subtract each value in column 1 from the corresponding value in column 2, we find that:

11 - 1 = 10

22 - 2 = 20

33 - 3 = 30

44 - 4 = 40

By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.

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Answer: 21.15 ft²

Step-by-step explanation:

We can use the formula for the area of a triangle:

(b×h)/2

In this case, the base is 9 and the height is 4.7.

So, we substitute the variables with the numbers in this problem.

(9 × 4.7)/2

9 × 4.7 = 42.3

42.3/2 = 21.15

So, our final answer is 21.15 ft²

Answer:

18

Step-by-step explanation:

\(\frac{6}{1/3} =\frac{6*3}{1} \\=18\)

The cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

To find the cost per pound of each type of meat, we can set up a system of equations based on the given information.

Let's denote the cost per pound of rib steak as 'x' and the cost per pound of hamburger meat as 'y'.

From the first statement, we know that:

2x + 6y = 12.30 ---(Equation 1)

From the second statement, we know that:

3x + 2y = 9.70 ---(Equation 2)

Now we can solve this system of equations to find the values of 'x' and 'y'.

Multiplying Equation 1 by 3 and Equation 2 by 2 to eliminate the 'x' term, we get:

6x + 18y = 36.90 ---(Equation 3)

6x + 4y = 19.40 ---(Equation 4)

Subtracting Equation 4 from Equation 3, we get:

14y = 17.50

Dividing both sides by 14, we find:

y = 1.25

Substituting the value of 'y' back into Equation 1, we can solve for 'x':

2x + 6(1.25) = 12.30

2x + 7.50 = 12.30

2x = 4.80

x = 2.40

Therefore, the cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

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Answer:   \(A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right]\)

Step-by-step explanation:

                  \(\left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]\)

\(\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right]\)

\(Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right]\)

\(Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right]\)

Answer:

$20.5

Step-by-step explanation:

0.75 x 14 = $10.5 + 10 = $20.5

Answer:

20.5$ would be the awnser hope this helps

Answer: 519 120

Step-by-step explanation:

84*84=7056

7056/7=1008

1008*515=519 120

Answer: I think it’s A the cylinder

Step-by-step explanation:

For PLATO users, the answers are the cylinder and the cone, NOT EITHER OF THE PYRAMIDS!!! Your welcome....