Florence built a tower of blocks that was 171 centimeters high. She used 90 identical blocks to build the tower. What was the height of each of the blocks?

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Answer:

           -3/10

Step-by-step explanation:

  -4--1= -3

     5--5= 10

Answer:

225 miles

Step-by-step explanation:

0.75 inches : 25 miles

we can times 0.75 by 12 to get 9, so we have to times the other side by 12 too.

9 inches : 300

Step-by-step explanation:

\(when \: you \: grow \: up\)

just live ur live and dat tm will cm whn u feel like a responsible adult

We need to find the vertex of the quadratic equation -0.001x² + 8x - 7000. The x-coordinate of the vertex can be found using the formula x = -b/2a, where a = -0.001 and b = 8. Plugging in the values, we get x = -8/(2*(-0.001)) = 4000. the value of x that maximizes the manufacturer's profit is 4000 cases (option b).

Therefore, the value of x that maximizes the manufacturer's profit is 4000 cases. Option (b) is the correct answer. It's worth noting that we can also verify that this is a maximum by checking the sign of the leading coefficient (-0.001) - since it is negative, the quadratic opens downwards, meaning that the vertex represents a maximum point.
The manufacturer's profit is given by the equation P(x) = -0.001x^2 + 8x - 7000. To find the value of x that maximizes the profit, we need to determine the vertex of the parabola. The x-coordinate of the vertex is found using the formula x = -b/(2a), where a and b are the coefficients of the quadratic term and the linear term, respectively.

In this case, a = -0.001 and b = 8. Plugging these values into the formula, we get:

x = -8 / (2 * -0.001) = 4000

Therefore, the value of x that maximizes the manufacturer's profit is 4000 cases (option b).

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a^2 + b^2 =c^2

so to find your answer you do,

16.5^2 - 9.2^2= b^2

key- ^2 is squared (to the power of two) hope this helps x

Answer:

Divide 16.5 squared by 19.2 squared=368.64/272.25

Step-by-step explanation:

Answer:

4220.16

Step-by-step explanation:

V = \(\pi\)\(r^{2}\)h

V= \(\pi* 8^{2}\) * 21

v= 4220.16

Answer:

x = 3

Step-by-step explanation:

5(2 - x) = 7x - 26

Distribute;

10 - 5x = 7x - 26

Add 5x to both sides;

10 = 12x - 26

Add 26 to both sides;

36 = 12x

Divide both sides by 12;

x = 3

A. The pH of 25.00 mL of the acid can be calculated using the given information about its ionization.

B. The balanced equation for the titration of the acid with Ba(OH)_2 can be written.

C. The pH of the solution at the equivalence point can be determined.

A. To calculate the pH of the acid, we need to determine the concentration of H+ ions using the per cent ionization and volume of the acid.

Calculate the concentration of the acid: 0.1 M (given)

Calculate the concentration of H+ ions: (0.022/100) × 0.1 M = 0.000022 M

Convert the concentration to pH: pH = -log[H+]

B. The balanced equation for the titration of the acid with Ba(OH)_2 can be written by considering the reaction between the acid and the hydroxide ion.

HX + Ba(OH)_2 → BaX_2 + H_2O

C. At the equivalence point of the titration, the moles of acid and base are stoichiometrically balanced.

Calculate the moles of acid: concentration × volume (25.00 mL)

Calculate the moles of base: concentration × volume (from the titrant used)

Determine the balanced equation stoichiometry to determine the resulting solution composition.

Calculate the pH of the resulting solution based on the nature of the resulting species.

In summary, the pH of the acid can be calculated using the per cent ionization and concentration, the balanced equation for the titration can be written, and the pH of the solution at the equivalence point can be determined by stoichiometric calculations and considering the nature of the resulting species.

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Answer:

x>3  here is your answer

If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

Probability  can be regarded as a  measure of the likelihood of an event  that can take place.

It should be noted that  Many events cannot be predicted with total certainty, hence , If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

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Answer:

Since 36=0 is false, there is no solution.

D. No Solution

Answer:

B) Independent, because the first cube being an even number cannot affect the second cube being 4.

Even if the first cube was a odd number,

that wouldn't have mathematically changed anything about the second cube's outcome.

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Answer:

Part A: y = $250 + $45x

Part B: U = y * 0.75  or  U = ($250 + $45x) * 0.75

Part C: $390

Step-by-step explanation:

Part A: In this scenario, we have fixed costs for the treatment and two variables, one of which is the number of appointments which is represented by the letter x and the total amount of costs which is represented by the letter y in the following equation...

y = $250 + $45x

Part B: Now we have the equation for the total cost we can update it to add the 25% discount. Since this is a discount it means that it is being subtracted from the 100% original price. Therefore, we need to multiply the total cost by the decimal form of 75% (100 - 25) which we can get by dividing the percentage by 100 like, which gives us 0.75. Now we multiply this value by the total cost in order to get the updated cost (U).

U = y * 0.75  or  U = ($250 + $45x) * 0.75

Part C: Now we can substitute the number of appointments variable (x) by 6 and solve for U.

U = ($250 + $45x) * 0.75

U = ($250 + $45(6)) * 0.75

U = ($250 + $270) * 0.75

U = $520 * 0.75

U = $390

Answer:

A. a is where performance is minimal

Step-by-step explanation:

b is representing peak performance.

Total 205 students should be polled so that we can estimate p to within 0.09 using a 99% confidence interval.

We have given that

Estimate of the proportion of students

= p

Confidence interval = 99%

As we know that the margin of error for the confidence interval is ,

MOE = Z ×√(p × (1-p)) / n

Where Z is z-score for

p --> estimate proportion confidence interval

n --> sample size

margin of error = 0 .09,

so we can set the equation as,

0.09 = Z×√(p×(1-p)) / n

Using the Z-table , the Z value for a 99% confidence interval is 2.575..

we will use p = 0.5 (since we are not given any information about value of p).

plugging all known values in above formula we get, 0.09 = 2.575√(0.5(0.5))/n

=> 0.0349 = √0.25/ n

=>0.00122 = 0.25/n

=> n = 204.6489

Since we get a decimal and we need our answer in number of students to sample, we round up to n = 205.

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Answer:

no because it has 2 of the same x-intercepts.

Step-by-step explanation:

Answer:

it has infinite

Step-by-step explanation:

you can get an infinite amount of values

Note: 1.5 = 3/2

=======================================================

Explanation:

The two points shown on the graph are located at (-3, -2) and (1, 5)

Let's focus on the x coordinates for now.

To find the midpoint of -3 and 1, we do two things in the order shown

Therefore, -1 is the midpoint of -3 and 1 on the number line.

It is also the x coordinate of the midpoint.

------------

Repeat these steps for the y coordinates of the given points.

This is the y coordinate of the midpoint.

-------------

The midpoint overall is located at (-1, 1.5)

I used GeoGebra to confirm the answer as correct.

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

Answer: "C. 0.9604.

Step-by-step explanation: The correct answer is The probability that at least one of the alarm clocks will wake her up is 0.9604. Heather has a very important test to take in the morning. So she wants to be sure that she will wake up in time, so she sets two alarm clocks.

Answer:

28-6=w

Step-by-step explanation:

Solution:

Given:

When you add 1 plus 1, the result is 2.

the answer is 4/3, because the angles are complementary".

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

To find the value of sin 54°, we can use the identity: sin 54° = cos (90° - 54°).

Since the angles are complementary, we know that cos 36° = sin (90° - 36°) = sin 54°.

We are given that cos 36° = three fourths, so we can substitute this value in the above equation to get:

sin 54° = cos (90° - 36°) = cos 54° = three fourths / sin 36°

We know that sin²x + cos²x = 1, so we can solve for sin 36°:

sin²36° + (3/4)² = 1

sin²36° = 1 - (3/4)² = 7/16

sin 36° = √(7/16)

Now we can substitute the value of sin 36° in the equation for sin 54°:

sin 54° = (3/4) / √(7/16) = 4/3

Therefore, the answer is "four thirds, because the angles are complementary".

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The points that proves that these are the vertices of an isosceles triangle are (a-b), (b-c)

We have to solve this problem using the distance between two points.

This is given as

\(d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)

The points are

a (2,3)

b (-2,1)

c (4,7)

The vertices would be gotten through a - b, a - c, b - c

For a - b

\(d = \sqrt{(-2- 2)^2 + (1 - 3)^2}\)

d = \(\sqrt{16+4}\)

= 4.472

For a - c

\(d = \sqrt{(4- 2)^2 + (7 - 3)^2}\)

\(d = \sqrt{4 +16}\)

= 4.472

For b - c

\(d = \sqrt{(4-- 2)^2 + (7 - 1)^2}\)

d = \(\sqrt{36+36}\) = 8.47

We can see that the value of a-b, a-c are equal because they are both 4.472.

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Answer:

Step-by-step explanation:

Remark

You have an isosceles triangle. That means that the angles opposite the marked sides are equal. So mark the angle on the lower left of the triangle as 50 degrees.

The solution to problem depends on the fact that the sum of the two inside angles of the triangle (each of which is marked as 50 degrees) not supplementary to the exterior angle, are still equal to the exterior angle.

Givens

<1 = 50 degrees

<2 = 50 degrees

Exterior angle = 15x + 25   Substitute the givens into the equation

Equation

<1 + <2 = 15x + 25

Solution

50 + 50  = 15x + 25                       Combine the left side

100 = 15x + 25                               Subtract 25 from both sides

100 - 25 = 15x + 25 - 25                Combine

75 = 15x                                          Divide both sides by 15

75/15 = 15x/15                      

5 = x

Answer

<1 = 50 degrees

<2 = 50 degrees

15x + 25 = 75 + 25 = 100