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The temperature at an altitude of 11,000 ft is found to be 47.6 Degree Fahrenheit.

The plane is at ground level, with a temperature of 59.7 degrees Fahrenheit. The temperature drops by 1.1 degrees Fahrenheit for every 1,000 feet.

Initial Temp = 59.7 Fahrenheit

Distance Covered = 11,000 Ft

As the plane stands there, the ground level is zero feet.

Later, it soars into the sky at 11,000 feet.

= 11×1,000

Temperature drops by 1.1 degrees Fahrenheit for every 1,000.

As a result, at 11,000 feet, the temperature will drop 11 times,

= 11×1.1

or 12.1 degrees.

Therefore, at 11,000 feet, the temperature will be Fahrenheit,

= 59.7 - 12.1

= 47.6 degree Fahrenheit

Thus, the temperature at an altitude of 11,000 ft is computed as 47.6 degree Fahrenheit.

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Answer:

B

Step-by-step explanation:

The equivalent expression shows the length and the width of the path is (x-10)(x-8).

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x²term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are typically expressed as integral values rather than fractions or decimals.

Given:

A = x² - 18x +80.

Now, factorizing

x² - 10x - 8x + 80

=x(x-10) - 8(x-10)

=(x-8)(x-10)

Hence, equivalent expression shows the length and the width of the path is (x-10)(x-8).

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The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B =  0.5 hours.

The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:

2A + 12B = 9 hours

On Thursday, we would have

5A + 3B = 9 hours

2A + 12B = 9  Eqn 1

5A + 3B = 9   Eqn 2

Multiply equation 2 by -4

2A + 12B = 9

-20A - 12B = -36

2A - 20A = 9 -36

-18A = -27

Divide both sides by -18

A = 1.5 hours

For B, substitute A in the first equation

2(1.5) + 12B = 9

3 + 12B = 9

12B = 9 - 3

12B = 6

Divide both sides by 12

B = 0.5

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Complete Question:

Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?

Answer:

Continuous.

Step-by-step explanation:

A continuous data is any data set having a finite or infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.

Hence, the speed of a car that travel 50 miles per hour for 3 hours represents a continuous data because the data can take on any value in an interval.

On the other hand, a discrete data is any data set in which the number of possible values are either finite or countable. Thus, a discrete data can only take on specific values. For example, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.

In this scenario, a car travels at a speed of 50 miles per hour for 3 hours.

Hence, the graph that describes this situation is continuous and each point are connected through a continuous line.

Answer:

The minimum data entry is, 26.

The maximum data entry is, 83.

Step-by-step explanation:

The stem-and-leaf plot provided is:

2 | 6

3 | 2

4 | 1 2 2 5 6 6 8

5 | 0 1 1 2 3 3 3 4 4 4 4 5 6 6 8 9

6 | 8 8 8

7 | 3 8 8

8 | 3

As it is mentioned that 2 | 6 equals 26, the data is:

S = {26, 32, 41, 42, 42, 56, 56, 68, 50, 51, 51, 52, 53, 53, 53, 54, 54, 54, 54, 55, 56, 56, 58, 59, 68, 68, 68, 73, 78, 78, 83}

The data is arranged in ascending order.

The minimum data entry is, 26.

The maximum data entry is, 83.

The number of Lexi is using for every bracelet and necklace include the following:

For her bracelet =329

For her necklace= 593

Addition is defined as one of the arithmetic parameters that can be used to combine various data together to arrive at a particular value.

For the family,

bracelet = 5

necklace = 9

Total jewelry made = 14

total number of beads used = 922 beads

The number of beads used for bracelet;

= 5/14×922

= 4610/14

= 329

The number of beads used for necklace;

= 9/14× 922

= 8298/14

=593

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Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

Answer:

(x - 5)² + (y + 6)² = 16

Step-by-step explanation:

assuming you require the equation of the circle

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (5, - 6 ) and r = 4 , then

(x - 5)² + (y - (- 6) )² = 4² , that is

(x - 5)² + (y + 6)² = 16

Answer:

10 units^2

Step-by-step explanation:

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)

Based on the information in the paragraph, we can infer that the order of the terms is as follows. Expected value, permutation and combination.

Some probability situations involve multiple events. When one of the events affects others, they are called dependent events. For example, when objects are chosen from a list or group and are not returned, the first choice reduces the options for future choices.

There are two ways to sort or combine dependent event results. Permutations are groupings in which the order of the objects matters. Combinations are groupings in which the content matters but the order does not. In accordance with the above, the terms must be arranged in the following order:

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Answer:

450t^2 − 10 = 0

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

ACT (X) :

21

24

26

27

29

25

25

30

GPA (Y) :

2.8

3.4

3.0

3.5

3.6

3.0

2.7

3.7

Relationship between GPA and ACT using a linear regression calculator :

ŷ = 0.1022X + 0.56813

Slope = 0.1022

Intercept = 0.56813

The relationship between GPA and ACT is in the positive direction, this can be inferred from the slope value which is positive

The intercept value ; 0.56813 means with a GPA score of 0 ; predicted ACT score will be 0.56813

Explain. How much higher is the GPA predicted to be if the ACT score increases by 5 points?

If ACT score increases by 5 ; predicted GPA will be:

Increase = 0.1022(5)

ACT score will increases by 0.511

ii) Compute the fitted values and the residuals for each observation and verify that the residuals sum to zero.

y = 0.1022(21) + 0.56813 = 2.71433

y = 0.1022(24) + 0.56813 = 3.02093

y = 0.1022(26) + 0.56813 = 3.22533

y = 0.1022(27) + 0.56813 = 3.32753

y = 0.1022(29) + 0.56813 = 3.53193

y = 0.1022(25) + 0.56813 = 3.12313

y = 0.1022(25) + 0.56813 = 3.12313

y = 0.1022(30) + 0.56813 = 3.63413

Residual:

2.8 - 2.71433 = 0.08567

3.4 - 3.02093 = 0.37907

3.0 - 3.22533 = −0.22533

3.5 - 3.32753 = 0.17247

3.6 - 3.53193 = 0.06807

3.0 - 3.12313 = −0.12313

2.7 -3.12313 = −0.42313

3.7 - 3.63413 = 0.06587

0.08567+0.37907−0.22533+0.17247+0.06807−0.12313−0.42313+0.06587 = −0.00044 = 0.00

iii) What is the predicted value of GPA when ACT = 20?

ŷ = 0.1022(20) + 0.56813

= 2.61

9514 1404 393

Answer:

  (a) 11·10^21

Step-by-step explanation:

"Scientific notation" has a mantissa that has one digit to the left of the decimal point. The number 11·10^21 has two digits to the left of the decimal point, so is not in the form required by scientific notation.

  11·10^21 is not in scientific notation

_____

It would be correctly written in scientific notation as as 1.1·10^22.

Answer:

A) 11 ⋅ 10^21

Answer:

100,00

Step-by-step explanation:

In order to find this, you would divide 450,000,000 by 4500. You would then get the final answer of 100,000. Hope this helps!

Answer:

84

Step-by-step explanation:

Plug in 6 for x, 8 for y and 6 for z.

6(6 + 8)  Do what is in the parentheses first.

6(14)  Multiply

84

Answer:

Slope Form: y-2= 8/3*x+2

Step-by-step explanation:

According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.

Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.

✍️ By Benjemin ☺️

Answer:

A) a = 108°

B) b = 24°

Step-by-step explanation:

A) The formula used to calculate the interior angle of any polygon is;

θ = 180(n - 2)/n

where;

n is the number of sides that the regular polygon has

θ is the interior angle

This polygon with angle a has 5 sides.

Thus;

a = 180(5 - 2)/5

a = 108°

B) Looking at the image again, we have 2 equilateral triangles and 1 isosceles triangle.

So the point of the ap ex of the unshaded triangle, the angle at that point is 360°

All angles in an equilateral triangle is 60°. Thus, ap ex angle of isosceles triangle is;

360 - (108 + 60 + 60)

360 - 228 = 132°

Now, the other two angles of the unshaded isosceles triangle are equal.

Thus;

2b + 132 = 180 (sum of angles in a triangle)

2b = 180 - 132

2b = 48

b = 48/2

b = 24°

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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The cost of the tomatoes, in dollars per pound, using proportions, is of:

$0.86 per lb.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.

In this problem, the costs is obtained as follows:

Hence the cost in dollars per kg of the tomatoes is obtained as follows:

1.74 x 1.09 = $1.8966 per kg.

The relationship between kg and pounds is given as follows:

1 kg = 2.20 lb.

Hence the cost is written as follows:

$1.8966 per 2.20 lb.

The cost per pound of the tomatoes is of:

1.8966/2.20 = $0.86 per lb.

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Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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The given interval is

This interval has 0 and all positive real numbers

1) The given number is 1/25 which is a positive number then, it belongs to the given interval

2) The given number is

-27 is a negative number, then it does not belong to the given interval

Answer:

Top: y=3

Top right: y=-3/2x+6

Bottom right: y=3/2x-6

Bottom: y=-3x

Bottom left: y=-3/2x-6

Top left: y=3/2x+6

Step-by-step explanation:

Top: y=3

Top right: y=-3/2x+6

Bottom right: y=3/2x-6

Bottom: y=-3x

Bottom left: y=-3/2x-6

Top left: y=3/2x+6

Answer:

1:2

Step-by-step explanation:

:)

Answer:

D. 80 miles

Step-by-step explanation:

\(\frac{1}{20} :\frac{4}{y}\)

1 × y = 20 × 4

y = 80