Brian has two rectangular sheets of paper.


The length of the larger sheet is 12 times the length of the


smaller sheet.


The width of the larger sheet is 15 times the width of the


smaller sheet.


By what factor is the area of the larger sheet greater than the area of the


smaller sheet?

a) The critical value 90% is 1.833

b) The critical value for 98% is 2.528

c) The critical value of 90% is 1.645

d) 3.169 is the critical value of 99%.

The critical probability (p*) = 1 - (α / 2), where α equals 1 - (confidence level / 100).

Given that an independent random sample is drawn from a population with an essentially normal standard deviation.

To calculate the degrees of freedom and crucial t-value for a given sample size and confidence level.

n-1 degrees of freedom

Critical t can be obtained from the internet's t table.

a) degree of liberty = 5

The critical 90% is 1.833

b) degree of freedom is 20.

The critical value for 98% is 2.528

c) degree of freedom =28

The critical value of 90% is 1.645

d) degree of freedom =10.

3.169 is the critical value of 99%.

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It should take approximately 1.98 hours, or around 1 hour and 59 minutes, to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

To calculate the cooking time for a 5.17 pound roast, we can use the recommended guideline of 23 minutes per pound. First, we need to convert the weight from pounds to minutes, and then convert minutes to hours.

Cooking time in minutes = 5.17 pounds * 23 minutes/pound

Cooking time in minutes = 118.91 minutes

To convert minutes to hours, we divide the total minutes by 60:

Cooking time in hours = 118.91 minutes / 60

Cooking time in hours ≈ 1.98 hours

Therefore, it should take approximately 1.98 hours to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

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Answer:

The slope of a line that is parallel to the given line will be: 7

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where

Given the line

\(y = 7x - 89\)

comparing with the slope-intercept form of the line equation

\(y = mx+b\)

Therefore, the slope of the line = m = 7

We know that the parallel lines have equal slopes.

Thus, the slope of a line that is parallel to the given line is also 7.

Therefore, the slope of a line that is parallel to the given line will be: 7

Answer:

Step-by-step explanation:

The determinant is the price of related goods, specifically the price of fuel. The increase in fuel prices would lead to a decrease in the demand for Ford F150 trucks, shifting the demand curve to the left.

The price of related goods is an important determinant of demand.

The drastic increase in fuel prices is likely to shift the demand curve for Ford F150 trucks to the left.

This is because consumers tend to reduce their demand for vehicles with lower fuel efficiency when fuel prices increase.

The determinant of this shift in demand is the price of related goods, specifically, the price of gasoline.

When the price of gasoline increases, it affects the demand for vehicles that are less fuel-efficient, such as trucks.

Therefore, the price of related goods is an important determinant of demand.

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The freezing point of a 0.33 m aqueous solution of Na₂SO₃ is -0.077 °C.

To find the freezing point of a solution, we can use the formula:

ΔTf = Kf · m

where ΔTf is the change in freezing point, Kf is the freezing point depression constant (for water, Kf = 1.86 °C/m), and m is the molality of the solution (in moles of solute per kilogram of solvent).

First, we need to calculate the molality of the solution:

m = moles of solute / mass of solvent (in kg)

We are given that the solution is 0.33 m, which means there are 0.33 moles of Na₂SO₃ per kilogram of water. The molar mass of Na₂SO is:

2 Na + 1 S + 3 O = 2(23.0 g/mol) + 32.1 g/mol + 3(16.0 g/mol) = 126.0 g/mol

So, 0.33 moles of Na₂SO₃ is equal to:

0.33 mol × 126.0 g/mol = 41.6 g

Since we have 1 kg of water, the mass of the solvent is 1000 g. Therefore, the molality of the solution is:

m = 41.6 g / 1000 g = 0.0416 mol/kg

Now, ΔTf = Kf · m = (1.86 °C/m) · (0.0416 mol/kg) = 0.077 °C

freezing point = 0 °C - ΔTf = 0 °C - 0.077 °C = -0.077 °C

Therefore, the freezing point of a 0.33 m aqueous solution of Na₂SO₃ is -0.077 °C.

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Answer: -1.84

Step-by-step explanation:

3x1.86x0.33=1.84

0.00-1.84= -1.84

late answer but hope it helps someone!

Answer:

d.) y > 41

Step-by-step explanation:

33 < y - 8

41 < y

Answer:

16,567,346

Step-by-step explanation:

Answer:

16,567,346

Step-by-step explanation:

the first thing you do is:

So your answer is 16,567,346

hope this helps

Answer:

A

Step-by-step explanation:

Answer:

53.3 rotations

Step-by-step explanation:

135/180=x/40

solve by cross multiply

Answer:

C≈47.12, or 47.1

Step-by-step explanation:

To find the circumference you just use the formula C=2\(\pi\)r.

The radius of your circle is 7.5 which is half of 15, now multiply 2\(\pi\)(7.5) which gives you your answer!

An even easier way to do this is to use the other formula C=d\(\pi\),

Just multiply your diameter (which is what was given to you) by pi and you also get your answer!

Hope this helps! :)

Answer:

(1) p(x) = 7x³ + 4x² + 6 - 9x⁴

(2) p(x) = 1 + 3x - 9x⁵

(3) y = 9x² - x³ + x⁹

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

Step-by-step explanation:

Standard form has terms arranged from the highest to the lowest power

Degree is the highest power

Leading coefficient is the coefficient of the highest term

Leading term is the term containing the highest power

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

(x + 3) (x - 2) = x² + x - 6 using the FOIL method
(x² + x - 6)(x +5) = x³ + 6x² -x - 30

Step-by-step explanation:

come on, we explained this already in previous questions. if you understood the explanations there, you should have been able to some that here without any problems.

again, standard form is the sorted polynomial from highest variable exponent to the lowest (as the potential constant at the end represents the x⁰ term).

the leading term is the first term on the left (with the highest exponent).

the leading coefficient is the factor in this leading term.

degree is the highest exponent used in the polynomial (again, given by the leading term).

so, what is still the problem ?

i have a slight problem with your handwriting. it is unclear, if there is 7x³ or 17x³. or 13x or 3x.

1.

p(x) = 17x³ + 4x² + 6 - 9x⁴

now, just sort this from the highest to the lowest exponent.

p(x) = -9x⁴ + 17x³ + 4x² + 6

if it should be 7x³ instead of 17x³, please use 7x³ in the polynomial.

degree = 4

leading coefficient = -9

leading term = -9x⁴

2.

p(x) = 1 + 13x - 9x⁵

again sort from highest to lowest exponent

p(x) = -9x⁵ + 13x + 1

again, if it should be 3x instead of 13x, please use 3x in the polynomial.

degree = 5

leading coefficient = -9

leading term = -9x⁵

3.

y = 9x² - x⁵ + x⁹

remember, y = f(x)

that is the same thing, means the same thing. it just gives the result variable a specific name.

again sort by exponent.

y = f(x) or p(x) or ... = x⁹ - x⁵ + 9x²

degree = 9

leading coefficient = 1

leading term = x⁹

4.

f(x) = (x+3)(x-2)(x+5)

this is really like the other question I just answered.

so, we always multiply 2 terms. that result we multiply by the third term. and if they're are more, then that result with the fourth term, and that with the 5th term,...

I usually start at the left :

(x+3)(x-2) = x² - 2x + 3x - 6 = x² + x - 6

now

(x² + x - 6)((x+5) = x³ + 5x² + x² + 5x - 6x - 30 =

= x³ + 6x² - x - 30

so,

f(x) = x³ + 6x² - x - 30

degree = 3

leading coefficient = 1

leading term = x³

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

The area of shaded region is 0

The area of shaded region can be calculated as follows:

Given that circle having diameter of 14 cm is shown inside the larger circle having radius 7 cm.

The diameter of smaller circle is 14 cm, thus its radius is 7 cm.

The area of the larger circle is πr², where r is the radius of the circle.

Area of larger circle = π(7)² = 49πThe area of the smaller circle is πr², where r is the radius of the circle.

Area of smaller circle = π(7)² = 49πThe shaded region is the difference of the area of the larger circle and the area of the smaller circle.

Area of shaded region = (49π - 49π) = 0π = 0 square units.

As the area of the shaded region is zero

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Answer:

C. dams, bridges, rock quarries, oil wells

Answer:

C

Step-by-step explanation:

he is right above me

Answer:

w = 24

I hope this helps!

The account would be worth approximately $62,420.80, which includes both the initial investment of $36,000 and the accumulated interest.

Assuming that the $200 has been added each month for the past 15 years, the total amount of money invested would be $200 x 12 months x 15 years = $36,000.
To calculate the amount of money earned from the 4% interest rate, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the final amount, P is the principal (the initial investment), r is the interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.
Plugging in the values, we get:
A = $36,000(1 + 0.04/12)^(12*15)
Simplifying, we get:
A = $36,000(1.0033)^180
A = $36,000(1.7328)
A = $62,420.80
Therefore, after 15 years, the account would be worth approximately $62,420.80, which includes both the initial investment of $36,000 and the accumulated interest.

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The balance of the account after 15 years is given as follows:

$49,218.

The balance of an account, considering periodic deposits, is given as follows:

\(B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}\)

The meaning of each parameter is given as follows:

The parameter values for this problem are given as follows:

P = 200, r = 0.04, n = 12, t = 15.

Hence the balance of the account after 15 years is given as follows:

\(B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}\)

\(B = \frac{200\left(\left(1 + \frac{0.04}{12}\right)^{12 \times 15}-1\right)}{\frac{0.04}{12}}\)

B = 49,218.

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Given:

Chandra get a bonus if average quarterly sales for an year exceeds $70000.

From the bar diagram, we can find the sales for each quarter.

The height of each bar gives the sales for each quarter.

Since the data in the vertical column is given in thousands of dollars, multiply the height of the bar by 1000 to get the correct sales value.

The sales for the first quarter is $40000.

The sales for the second quarter is $100000.

The sales for the third quarter is $80000.

Let x be the sales for the fourth quarter.

Now, the average of the quarterly sales is,

Put A=70000 and solve the equation for x to obtain the sales for the fourth quarter so that Chandra gets bonus.

So, the sales of the fourth quarter must be $60000 in order for Chandra to earn the bonus.

Hence, option D is correct.

Answer:

needd points

Step-by-step explanation:

thx

Brahe's concept of the planetary system was most like that of the geocentric model

Brahe suggested a hybrid model that integrated parts of the heliocentric and geocentric systems based on his highly exact and accurate observations and measurements of planetary motion.

Brahe said that while the Sun orbited the Earth, the planets revolved around the Sun.

The Tychonic system was a theory that attempted to balance the planets' known motions with the widely held notion that the Earth was fixed.

Brahe's painstaking observations set the groundwork for our current comprehension of planetary motion, even though his model was subsequently supplanted by the heliocentric theory put forward by Copernicus and improved upon by Kepler.

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Answer:

(1) - \(\dfrac{dh}{dt}=-\dfrac{1}{100 \pi} \ cm/s\)

(2) - \(\dfrac{dA}{dt}=-2 \ cm^2/min\)

Step-by-step explanation:

To solve this problem, we can use the concept of related rates and the formulas for the volume and surface area of a sphere. Let's denote the radius of the ice layer as "r" and the thickness of the ice layer as "h."\(\hrulefill\)

Given:

Radius of the copper ball, r = 20 cm

Rate of ice melting, dV/dt = -25 cm^3/min

Find:

(1) - The rate at which the thickness of the ice layer is decreasing, dh/dt when it is 5 cm thick.

(2) - The rate at which the outer surface area of the ice layer is decreasing (dA/dt).\(\hrulefill\)

The volume of the ice layer can be expressed as the difference between the volume of the outer sphere (with the ice layer) and the volume of the inner sphere (without the ice layer):

\(V = \dfrac4\pi \Big[(r + h)^3 - r^3\Big]\)

Differentiate this with respect to time, t.

\(V = \dfrac43\pi\Big[(r + h)^3 - r^3\Big]\\\\\\\Longrightarrow \dfrac{dV}{dt} =\dfrac{d}{dt} \Big[ \dfrac43\pi\Big[(r + h)^3 - r^3\Big]\Big]\\\\\\\Longrightarrow \dfrac{dV}{dt} =\dfrac43\pi \Big[(3(r + h)^2)(\dfrac{dh}{dt} ) - 0\Big]\\\\\\\Longrightarrow \boxed{\dfrac{dV}{dt} =4\pi(r + h)^2\dfrac{dh}{dt}}\)

Plug in dV/dt, r, and h and solve for dh/dt

\(\dfrac{dV}{dt} =4\pi(r + h)^2\dfrac{dh}{dt}\\\\\\\Longrightarrow -25 \ cm^3/min =4\pi(20 \ cm + 5 \ cm)^2\dfrac{dh}{dt}\\\\\\\Longrightarrow \dfrac{-25}{4\pi} =(25)^2\dfrac{dh}{dt}\\\\\\\Longrightarrow \dfrac{-25}{4\pi} =625\dfrac{dh}{dt}\\\\\\\therefore \boxed{\dfrac{dh}{dt}=-\dfrac{1}{100 \pi} \ cm/s}\)

Thus, the first part is solved. The negative shows that the thickness is decreasing with time. The question may ignore that negative.

The outer surface of the ball is given as:

\(SA = 4\pi(r + h)^2\)

Differentiate the function with respect to time, t.

\(SA = 4\pi(r + h)^2\\\\\\\Longrightarrow \dfrac{dA}{dt}=\dfrac{d}{dt}\Big[4\pi(r + h)^2\Big] \\\\\\\Longrightarrow \boxed{\dfrac{dA}{dt}=8\pi(r + h)\dfrac{dh}{dt} }\)

Substitute in our known values.

\(\dfrac{dA}{dt}=8\pi(r + h)\dfrac{dh}{dt} \\\\\\\Longrightarrow \dfrac{dA}{dt}=8\pi(20 + 5)(-\dfrac{1}{100 \pi} )\\\\\\\Longrightarrow \dfrac{dA}{dt}=-\dfrac{200}{100 } \\\\\\\therefore \boxed{\dfrac{dA}{dt}=-2 \ cm^2/min}\)

Thus, the second part is solved. Once again, the question may want you to disregard the negative.

Answer:

Step-by-step explanation:

Because there is sound and a tune that plays again anytime people are shown having fun at the carnival, the Kit Kat commercial is effective. When the sound is silenced, the commercial's lyrics will come to the viewer's thoughts without any further thought.

The measure of angle A, B, C are 60°,60°,60°

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

The sum of angle in a polygon is 180°. i.e

A+B + C = 180°

therefore we can say that;

2x+2x + 3x-30 = 180

7x -30 = 180

7x = 180+30

7x = 210

divide both sides by 7

x = 210/7 = 30

therefore ;

angle A = 2× 30 = 60°

angle B = 2×30 = 60°

angle C = 3×30-30 = 90-30 = 60°

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The number of medium size pizzas ordered is 9. To determine the number of medium size pizzas ordered, we need to solve a system of equations based on the given information.

Let's denote the number of large pizzas as "L," the number of medium pizzas as "M," and the number of small pizzas as "S." The total cost of the pizzas can be expressed as 17L + 14M + 10S = 841. The second equation states that L = 3M - 2, and the third equation states that S = 3M + 2.

Let's denote the number of large pizzas as "L," the number of medium pizzas as "M," and the number of small pizzas as "S." According to the given information, we can form the following equations:

Equation 1: 17L + 14M + 10S = 841 (Total cost equation)

Equation 2: L = 3M - 2 (Number of large pizzas equation)

Equation 3: S = 3M + 2 (Number of small pizzas equation)

We want to find the value of M, which represents the number of medium size pizzas ordered.

Substituting the values of L and S from equations 2 and 3 into equation 1, we have:

17(3M - 2) + 14M + 10(3M + 2) = 841.

Expanding and simplifying further:

51M - 34 + 14M + 30M + 20 = 841,

95M - 14 = 841,

95M = 855,

M = 855 / 95.

Evaluating the expression:

M = 9.

Therefore, the number of medium size pizzas ordered is 9.

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The derivative of of f(x) = 10 is 0

The derivative of a function is the measure of the rate of change of the function. They are fundamental to the solution of problems in calculus and differential equations.

Here the function is not changing as 10 is a constant. So, if f(x) = c where c is a constant then f'(x) = 0 as the derivative of a constant is always zero.

Mathematically:

           d(f(x))/dx = \(\lim_{h \to 0}\) (f(x+h) - f(x))/h

There  is no x to substitute for x + h so no difference is noticed:

             \(\lim_{h \to 0}\) (f(x+h) - f(x))/h =   \(\lim_{h \to 0}\) (10 - 10)/h = 0

Hence, the derivative of f(x) = 10 is 0

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Answer:

\(y = 18 \: \: degrees\)( vertically opposite angles)

\(x = 64 \: \: degrees\)

\(y + z + x = 180 \\ 18 + z + 64 = 180 \\ 82 + z = 180 \\ z = 180 - 82 \\ z = 98 \: \: degrees\)

Answer:

c d

Step-by-step explanation:

no explanation

take out a minus from first two fractions

Answer: 92º

Step-by-step explanation:

Since the sum of the angles of a triangle is always 180 degrees, we can use the following equation:

56º + 32º + xº = 180º

or

180º - (56º + 32º) = xº

Answer:

are you lonly

Step-by-step explanation:

Answer:

vvv ahah hopefully it helps

Step-by-step explanation:

11.  pi is irrational number since you can't write it down as a non-infinite decimal

12. .5 is rational since its a terminating decimal

13. .3 repeating is rational b/c it's represented as a ratio of two integers

The expression with a variables is 7x²y when x  is 3 and y is 9 is 567.

Given that,

The expression with a variables is 7x²y.

We have to find the value when x  is 3 and y is 9.

Any thing that has multiple possible values is considered a variable. What does that mean, then? A variable is anything that could possibly change. Age, for example, might be considered a variable because it might signify different things to different people or to the same person at different periods. A person's nationality can function similarly by having a value assigned to it.

By substituting in the expression we get,

7(3)²(9)

7×9×9

567

Therefore, the expression of variables 7x²y when x  is 3 and y is 9 is 567.

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