Find all zeroes of the function. Enter the real zeroes separated by commas.

Answer:

135 masks

Step-by-step explanation:

i hope my math is right lol

Answer:

135 masks

Step-by-step explanation:

First, we take $997 and subtract that by $349

$997 - $349 = $648

To find how many masks Elena can print, we divide $648 dollars by $4.80. Since one mask is equivalent to $4.80

$648 ÷ $4.80 = 135

135 masks

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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Using the z-distribution, as we are working with a proportion, it is found that samples of 937 should be taken.

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

The margin of error is given by:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In this problem, we have that:

Then, we solve for n to find the minimum sample size.

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = 1.96\sqrt{\frac{0.675(0.325)}{n}}\)

\(0.03\sqrt{n} = 1.96\sqrt{0.675(0.325)}\)

\(\sqrt{n} = \frac{1.96\sqrt{0.675(0.325)}}{0.03}\)

\((\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.675(0.325)}}{0.03}\right)^2\)

\(n = 936.4\)

Rounding up, it is found that samples of 937 should be taken.

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Answer:

30 and 60 degrees

Step-by-step explanation:

30 and 60 are complementary angles. 60 is two times the measure of its complementary angle, or 30. 60+30=90.

Complementary angles are angles that add up to 90 degrees.

Angle one = x

Angle two = 2x

2x + x = 90 degrees

Combine like terms.

3x = 90 degrees.

Divide both sides by 3

x = 30

Angle one = x = 30 degrees

Angle two = 2x = 2(30) = 60 degrees.

In this situation, The number of lionfish every year grows by 69%. This means that to the number of lionfish in a year, we need to add the 69% to get the number of fish in the next year.

This is a geometric sequence because the next term of the sequence is obtained by multiplying the previous term by a number.

The explicit formula for a geometric sequence is:

We know that a₁ = 9000 (the number of fish after 1 year)

And the growth rate is 69%, to get the number of lionfish in the next year, we need to multiply by the rate og growth (in decimal) and add to the number of fish. First, let's find the growth rate in decimal, we need to divide by 100:

Then, if a₁ is the number of lionfish in the year 1, to find the number in the next year:

We can rewrite:

With this, we have found the number r = 1.69. And now we can write the equation asked in A:

The answer to A is:

Now, to solve B, we need to find the number of lionfish in the bay after 6 years. Then, we can use the equation of item A and evaluate for n = 6:

To the nearest whole, the number of lionfish after 6 years is 124,072.

For part C, we need to use the recursive form of a geometric sequence:

We know that the first term of the sequence is 9000. After the first year, the scientists remove 1400 lionfish. We can write this as:

Because to the number of lionfish in the previous year, we need to subtract the 1400 fish removed by the scientists.

The answer to B is:

The area of the space available for onions is:n12 square feet - 0.12x square feet. number of onion bulbs Mark can plant is: (12 - 0.12x) / y

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

Mark has marked off a certain percentage of the 12 square feet to save for a tomato plant, which means the remaining space will be used for onions.

Let's say Mark marks off x% of the space for the tomato plant. That means he will have (100-x)% of the space for onions.

The area of the space reserved for the tomato plant is:

12 square feet x (x/100) = 0.12x square feet

The area of the space available for onions is:

12 square feet - 0.12x square feet

Let's say each onion bulb needs y square feet of room to grow. Mark can plant as many onion bulbs as can fit in the remaining space, which is:

(12 square feet - 0.12x square feet) / y

So the number of onion bulbs Mark can plant is:

(12 - 0.12x) / y.

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Answer:

It will take 23 years for the account to grow to $7000.

Step-by-step explanation:

Simple Interest

The simple interest formula is given by:

\(E = P*I*t\)

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

\(T = E + P\)

Carly has a bank account with a balance of $3,575.

This means that \(P = 3575\)

The account pays simple interest at a rate of 4.15%.

This means that \(I = 0.0415\)

How long will it take for the account to grow to $7000?

\(T = 7000\)

The interest is:

\(T = E + P\)

\(E = T - P = 7000 - 3575 = 3425\)

Now we have to find t.

\(E = P*I*t\)

\(3425 = 3575*0.0415*t\)

\(t = \frac{3425}{3575*0.0415}\)

\(t = 23.1\)

Rounding to the nearest year, it will take 23 years for the account to grow to $7000.

Answer:

22

Step-by-step explanation:

To decide whether to use the normal or the Student’s t distribution, for an x distribution that is mound-shaped:

Use the normal distribution if the standard deviation is known. Use the Student's t - distribution when the standard deviation is not known.

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution.

It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution is depicted graphically as a bell curve.

For small sample numbers or unidentified variances, population parameters are estimated using a form of probability function called a t-distribution.

Hence t-distribution is suitable when the variance which is standard deviation squared is unknown

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Answer:

Step-by-step explanation:

For us to determine the friends that live exactly halfway between any two other friends, we need to determine the midpoint of any two of the coordinates and check whether the coordinate gotten is any of other people coordinates.

Using the coordinates B (22,5)  and Ju (4,5), Using the mid point formula;

m(X,Y) = \((\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})\\\)

X = \(\frac{x_2+x_1}{2}\)

X = \(\frac{22+4}{2}\)

\(X = \frac{26}{2}\\ X = 13\)

\(Y =\frac{y_2+y_1}{2}\\Y = \frac{5+5}{2}\\Y = \frac{10}{2}\\Y = 5\)

\((X, Y) = (13, 5)\)

Hence the friend that live half way of B (22,5)  and Ju (4,5) is J(13, 5)

Similarly as above, using the coordinates of M (11,5) and A  (31,5)

X = (11+31)/2

X = 42/2

X = 21

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends is (21, 5)

Hence the friend that live half way of M (11,5)  and A (31,5) is Ma(21, 5)

Also, using the coordinates of J (13,5)  and A  (31,5)

X = (13+31)/2

X = 44/2

X = 22

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends J and A is (22, 5)

Hence the friend that live half way of J (13,5)  and A (31,5) is B(21, 5)

The maximum amount Lauren should budget for housing is $445.50 per month.

Now, A good rule of thumb is that housing expenses should not exceed 30% of her income.

So, We get;

30% of Lauren's monthly income of $1485 would be:

= 30% x $1485

= $445.50

Therefore, the maximum amount Lauren should budget for housing is $445.50 per month.

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Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer: 6.6 m

Add known sides and subtract the sum from the given perimeter.

Answer:

6.6 m

Step-by-step explanation:

33.8 + 2(14.1) + 3(9.1) + 16.9 = 106.2

112.8 - 106.2 = 6.6

Answer:

original cost is 135$

Step-by-step explanation:

100%×54$÷40%= 135

Answer:

188.5

Step-by-step explanation:

13 times 4.50 is 188.5 and theres 13,000

Answer:

1. h = 900/b

2. 36

Step-by-step explanation:

The area of a rectangle is given by:

A = length x width

In this case, we know that the area of the pet door is 900 square centimeters, so we can write:

900 = h x b

To solve for the height in terms of the width, we can divide both sides by b:

h = 900/b

Now, if the base of the pet door is 25 centimeters wide, we can substitute b = 25 into the equation above to find the height:

h = 900/25 = 36

Therefore, the height of the pet door would be 36 centimeters if the base is 25 centimeters wide.

The correct answer is,

(a) Very unlikely. It will almost certainly never happen.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The winning number in a Pick 4 lottery was 1234 two days in a row.

Now,

Since, there is a 1 in 10,000 chance of drawing any particular four-digit number in a single drawing, there is very little chance that the same number will be picked twice in a row in a Pick 4 lottery.

Even less likely, at one in 100,000,000,000, is the same number being selected three times in a row.

So, (a) Very unlikely is the correct response. It's almost probably never going to happen.

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Answer: Need some more detail

Step-by-step explanation:

Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.

To close the expansionary gap, the government would need to decrease spending by $100 billion.

The formula to calculate the change in equilibrium output due to a change in government spending is:

∆Y = (∆G / (1 - MPC))

Where:

∆Y = change in equilibrium output

∆G = change in government spending

MPC = marginal propensity to consume

Here, the output is $400 billion above its natural level, and the central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out. Therefore, we can assume that the change in government spending (∆G) would have a one-to-one effect on the equilibrium output (∆Y).

Given that MPC = 3/4, we can plug in the values into the formula:

400 = (∆G / (1 - 3/4))

∆G = (1 - 3/4) * 400

∆G = (1/4) * 400

∆G = 100

Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.

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Answer:

4.8 days

Step-by-step explanation:

12/10 = 1.2

1.2 x 4 = 4.8

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

The calculated value of the distance covered is 2 km

From the question, we have the following parameters that can be used in our computation:

Speeds = 24 km/h and 32 km/h

The time difference is given as

Time = 15 minutes

The distance covered is calculated as

Distance = (Change in speed) * Time

Substitute the known values in the above equation, so, we have the following representation

Distance = (32km/h - 24km/h) * 15 minutes

Evaluate

Distance = 2 km

This means that the distance covered is 2 km

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Given the function below

Problem statement

Find the value of A(2)

Solution

Given that n = 2

Therefore,

Hence,

Answer:

So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.

Step-by-step explanation:

To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:

C = 2 * π * r

Where:

· C = circumference of the pipe

· π = the mathematical constant approximately equal to 3.14

· r = the radius of the pipe

Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:

r = 2.5 inches + 0.5 inch = 3 inches

Plugging in the values:

C = 2 * π * 3

C = 6.28 * 3

C = 18.84 inches

Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.

Answer:

1.335

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

A triangle angles add up to 180 so we can make an equation.

x + 60 + x + 40 = 180

Now we solve for x

2x + 100 = 180

2x = 80

x = 80/2

x = 40

(Since two angles are equal this is a isosceles triangle)

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Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.