An architect is designing a tapered office
tower where the ground floor (floor 0) is
the largest and the floor space is reduced
by 8.8% per floor. If the ground floor has
an area of 13,300.0 ft², what is the area of
the 10th floor?

a. The system of equations that represents this scenario is : D + n = 29 and 0.1D + 0.05n = 2.15.

b. The numbers of nickels and dimes are 15 and 14, respectively.

We have a total of 29 coins in our piggy bank. All the coins are either nickels or dimes. The value of the coins is $2.15. We have to find out the equation that represents this scenario. We have to find out the number of nickels and dimes that we have in the piggy bank.

Let the number of dimes and nickels be represented by the variables "D" and "n", respectively. The value of a dime is $0.1. The value of a nickel is $0.05. The equations are given below.

D + n = 29

0.1D + 0.05n = 2.15

We will substitute the value of "D" from the first equation into the second equation.

D = 29 - n

0.1D + 0.05n = 2.15

0.1(29 - n) + 0.05n = 2.15

2.9 - 0.1n + 0.05n = 2.15

0.05n = 0.75

n = 15

Hence, the number of nickels is 15. We will substitute this value into the first equation.

D = 29 - n

D = 29 - 15

D = 14

Hence, the number of dimes is 14.

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Answer:

Assume x greater-than-or- equal-to 0 and y ... 0 StartRoot x squared y cubed EndRoot + 2 StartRoot x cubed y Superscript 4 Baseline EndRoot + x y StartRoot y EndRoot.

Step-by-step explanation:

Option (b) is correct.

The sum of given expression  \sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}x2y3+2x3y4+xyy is  2xy\sqrt{y}+2xy^2\sqrt{x}2xyy+2xy2x

Step-by-step explanation:

Given:Expression \sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}x2y3+2x3y4+xyy

We have to find the sum of the given expression and choose the correct from the given options.

Consider the given expression  \sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}x2y3+2x3y4+xyy .

\sqrt{x^2y^3}x2y3 can be written as \sqrt{x^2y^2y}=xy\sqrt{y}x2y2y=xyy

Also, 2\sqrt{x^3y^4}2x3y4 can be written as 2\sqrt{x^3y^4}=2\sqrt{x^2x(y^2)^2}=2xy^2\sqrt{x}2x3y4=2x2x(y2)2=2xy2x

Now, the given expression becomes,

x2y3+2x3y4+xyy

=xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}=xyy+2xy2x+xyy .

Now, adding like term, terms having same variable with same degree.

=2xy\sqrt{y}+2xy^2\sqrt{x}=2xyy+2xy2x .

Thus, The sum of given expression  \sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}x2y3+2x3y4+xyy is  2xy\sqrt{y}+2xy^2\sqrt{x}2xyy+2xy2x

Answer:

f = - \(\frac{g}{x-1}\)

Step-by-step explanation:

fx = f - g ( subtract f from both sides )

fx - f = - g ( factor out f from each term on the left side )

f(x - 1) = - g ( divide both sides by (x - 1) )

f = - \(\frac{g}{x-1}\)

The elements of Z3[x]/(x^2 - x) are of the form ax + b that is multiplication table, where a and b are elements of Z3.

The multiplication table is:

  | 0   1   x   1+x   2   2+x

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

0 | 0   0   0    0   0   0

1 | 0   1   x   1+x  2  2+x

x | 0   x  2x  2+x   x  1+2x

1+x| 0  1+x 2+x   2  2+x  x

2 | 0   2   x   2+x  1  1+x

2+x| 0  2+x 1+2x  x  1+x 2

Note that in this table, we use the fact that x^2 - x = 0, which implies that x^2 = x.

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Answer:

300 g

Step-by-step explanation:

weight of a can of biscuits= (23- 0.5)/15= 1.5 kg

weight of 8 cans= 1.5 * 8= 12 kg

mass of the empty box Q= 12.3- 12= 0.3 kg= 300 g

Answer:

300 g or 0.3 kg

Step-by-step explanation:

23 kg - 500g = 22.5 kg

each can of biscuits weighs 22.5 ÷ 15 = 1.5 kg

if the box Q weighs 12.3kg when there's 8 box of biscuits then

8 × 1.5 = 12 kg is the weight of biscuits and the remaining 300 g is box Q's weight

Answer:

(x² - 9)(x² - 1)

Step-by-step explanation:

Using Quadratic trinomials

Factor x⁴ - 10x² + 9

Step 1: Find the two integers whose product of 9 and whose sum of -10

Product

-9 × -1 = 9

Sum

-9 + -1 = -10

Step 2: Use -1 and -9 to complete the factors

x⁴ - 10x² + 9 = (x² - 9)(x² - 1)

Step 3: Use the foil method to check the factors

(x² - 9)(x² - 1) = x⁴ - 1x² - 9x² + 9 = x⁴ - 10x² + 9

Answer:

first you divide the larger number into its separate parts. Here, 23 becomes 20 and 3.

Next, you multiply each separate part — 20 x 7 and 3 x 7.

Finally, you add all the products together. 140 + 21 equals 161, the product of 23 x 7.

Step-by-step explanation:

Answer:

m < -18/19

Step-by-step explanation:

8m + 95 < -87 m +5

Add 87m to each side

8m+87m + 95 < -87 m+87m +5

95m + 95 < 5

Subtract 95 from each side

95m + 95-95 <  5-95

95m < -90

Divide each side by 95

95m/95 < -90/95

m < -18/19

Answer:

Step-by-step explanation:

8m +95 < -87m +5

8m +87m < 5-95

95m < -90

m < -90/95

m < -18/ 19

The probability that a shutdown is due to hardware failure given that there is a shutdown is 0.346.

To find the probability that the shutdown is due to hardware failure given that there is a shutdown, we need to use Bayes' theorem.

Let H be the event that the shutdown is due to hardware failure, and S be the event that there is a shutdown. Then we need to find P(H|S).

Using the formula for Bayes' theorem:

P(H|S) = P(S|H) * P(H) / P(S)

We already have P(H) = 0.45, and P(S|H) = 0.43, the probability of a shutdown given hardware failure.

To find P(S), we need to use the law of total probability:

P(S) = P(S|H) * P(H) + P(S|E) * P(E) + P(S|S) * P(S)

where E is the event of electronic failure, and S is the event of software failure.

We are given P(S|E) = 0.95, P(E) = 0.30, P(S|S) = 0.09, and P(S|H), P(H) as calculated above.

Substituting the values:

P(S) = 0.43 * 0.45 + 0.95 * 0.30 + 0.09 * 0.25 = 0.558

Finally, substituting all values into Bayes' theorem:

P(H|S) = 0.43 * 0.45 / 0.558 = 0.346

Therefore, the probability that a shutdown is due to hardware failure given that there is a shutdown is 0.346.

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Answer:

Ricky 1292 Pedro 1569

Answer: Ricky had 1292, Pedro had 1569.

Step-by-step explanation: First, you subtract 277 from 2861, then divide that by 2 to find how many hits Ricky had. You then add back the 277, and you get Pedro’s hits.

Answer: B) 4

Step-by-step explanation:

Using the formula

Standard deviation = √( (Σ ( x - π)²)/n)

To get the standard deviation, first we workout the Mean which is the simple average of the data set

n = 4

(13 + 17 + 9 + 21) / 4 = 60/4 = 15

Mean(x) = 15

Then (x-π)²

13 - 15 = (-2)² = 4

17 - 15 = (2)² = 4

9 - 15 = (-6)² = 36

21 - 15 = (6)² = 36

Σ ( x - π)² = (4 + 4 + 36 + 36) = 80

Standard deviation = √( (Σ ( x - π)²)/n

= √ (80/4)

=√20

= 4.47

= 4

Given:

Total number of hours = 70 hours

Amount he charges (base fee) = $75

Amount he charges per hour =

7 lawns / 4 hours = 1.75 hours per lawn.

1.75 hours per lawn x 21 lawns = 36.75 hours total ( 36 hours and 45 minutes)

Answer:

25/24

Step-by-step explanation:

multiply first then add

The most accurate statement about the p-value for this test is: 0.05 < p-value < 0.10.

In a hypothesis test, the null hypothesis can be rejected at the .10 level but cannot be rejected at the .05 level. This means that the p-value for the test falls between these two levels.

A p-value is a measure of the strength of evidence against the null hypothesis. It represents the probability of obtaining a test statistic as extreme as, or more extreme than, the observed value, assuming that the null hypothesis is true.

In this case, the fact that the null hypothesis can be rejected at the .10 level means that the p-value is less than .10. However since the null hypothesis cannot be rejected at the .05 level, it implies that the p-value is greater than .05.

This indicates that the evidence against the null hypothesis is not strong enough to reject it at the .05 level, but it is strong enough to reject it at the .10 level. The p-value falls between these two values, providing a range of uncertainty in the results of the hypothesis test.

In summary, the p-value in this scenario is greater than .05 but less than .10, indicating moderate evidence against the null hypothesis.

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In a hypothesis test, the null hypothesis can be rejected at the 0.10 level but cannot be rejected at the 0.05 level. This means that the p-value obtained in the test falls between these two levels.

The p-value is a measure of the strength of evidence against the null hypothesis. It represents the probability of observing the data or more extreme data, assuming that the null hypothesis is true.

When the p-value is less than the chosen significance level (alpha), typically 0.05, it indicates that the data provides strong evidence against the null hypothesis. In this case, we reject the null hypothesis in favor of the alternative hypothesis.

However, if the p-value is greater than the significance level, such as 0.10, it means that the data does not provide enough evidence to reject the null hypothesis. We fail to reject the null hypothesis and do not have sufficient evidence to support the alternative hypothesis.

Therefore, for this given hypothesis test, since the null hypothesis can be rejected at the 0.10 level but not at the 0.05 level, the most accurate statement about the p-value is:

0.05 < p-value < 0.10

This means that the p-value falls between 0.05 and 0.10, indicating moderate evidence against the null hypothesis, but not strong enough to reject it at the 0.05 level.

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Answer:

c i think soory if wrong

Step-by-step explanation:

Answer:

(0, 7)

Step-by-step explanation:

Using the midpoint formula expressed as;

M (X, Y )= [(ax1+bx2/a+b), (ay1+by2/a+b)]

where a and b are the ratios

Given

a = 2

b = 1

x1 = -3

y1 = 6

x2 = 6

y2 = 9

Get the coordinate of B

Get X;

X = ax1+bx2/a+b

X = 2(-3)+1(6)/2+1

X = -6+6/3

X = 0/3

X = 0

Get Y;

Y = ay1+by2/a+b

Y = 2(6)+1(9)/2+1

Y = 12+9/3

Y = 21/3

Y = 7

Hence the coordinate of B is (0, 7)

The factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.

A function in which there is only positive exponents to the variables are called polynomial function.

The missing image is attached with the answer.

It is given in the question

on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0)

The zeroes of the polynomial function are the points at which the curve will cut x axis

For the given graph,

the curve cuts the x-axis at x = 1 and x = 6

the  factors will be x - 1 and x - 6

Therefore, a factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.

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Answer:

B

Step-by-step explanation:

B

Answer:

1/2 is larger

Step-by-step explanation:

1/2 is larger because the smaller the denominator the larger the fraction.

Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.

To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.

We know that the altitude of the plane remains constant at 2400 meters.

According to the cosine rule:

\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)

Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.

For the initial angle of elevation (70°), we have the equation:

\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)

Similarly, for the final angle of elevation (50°), we have:

\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)

To find the distance the plane has flown, we subtract the two equations:

\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)

Now we can solve this equation to find the value of a, which represents the distance the plane has flown.

Finally, we calculate the square root of \(a^2\) to find the distance in meters.

It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.

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The scale factοr frοm shape A tο shape B is 8

Shapes in variοus dimensiοns can be scaled using the Scale Factοr. In geοmetry, we study many geοmetrical fοrms that exist in bοth twο- and three-dimensiοns. The scale factοr is a way tο cοmpare figures with similar appearances but differing scales οr measurements. Cοnsider twο circles that resemble οne anοther but may have different radii.

The scale factοr οf a shape refers tο the amοunt by which it is increased οr shrunk. It is applied when a 2D shape, such as a circle, triangle, square, οr rectangle, needs tο be made larger.

K is the scaling factοr fοr x in the equatiοn y = Kx. This expressiοn can alsο be visualized in terms οf prοpοrtiοnality:

y ∝ x

K can therefοre be regarded as a prοpοrtiοnality cοnstant in this cοntext.

The fundamental Prοpοrtiοnality Theοrem alsο aids in a better understanding οf the scale factοr.

a) We must cοmpare the cοrrespοnding sides οf bοth shapes in οrder tο determine the scaling factοr frοm shape A tο shape B.

It is evident that the sides AB and BC οf shape A and shape B, respectively, cοrrespοnd tο the sides PQ and QR, respectively, οf shape B.

As a result, the scale factοr between shape A and shape B is:

AB/PQ = BC/QR

We can substitute the values given in the diagram:

4/t = 6/(t+4)

Crοss-multiplying:

4(t+4) = 6t

Simplifying:

4t + 16 = 6t

2t = 16

t = 8

b) The fact that the cοrrespοnding sides οf identical fοrms are prοpοrtiοnate can be used tο determine the value οf t.

It is evident that the sides AB and BC οf shape A and shape B, respectively, cοrrespοnd tο the sides PQ and QR, respectively, οf shape B.

As a result, we may cοnstruct the equatiοn shοwn belοw:

AB/PQ = BC/QR

We can substitute the values given in the diagram:

4/t = 6/(t+4)

Crοss-multiplying:

4(t+4) = 6t

Simplifying:

4t + 16 = 6t

2t = 16

t = 8

Therefοre, the value οf t is 8.

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Yosef's average weekly fuel cost would be $2537.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Yosef drove 12,900 miles last year. His truck's fuel efficiency averages 15 mpg.

Karla used 12900/15 = 860 gallons to drive 12900 miles.

The average cost of gas last year was $2.95 per gallon.

Therefore, Yosef's average weekly fuel cost would be

2.95 x 860 = $2537

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The graph of s(x) = -6x + \(8x^2\) + 5x + 3 is concave up at the point with x-coordinate -1. Let us consider the second derivative.

To determine the concavity of a function at a specific point, we need to analyze the second derivative of the function. If the second derivative is positive, the graph is concave up, and if it is negative, the graph is concave down.

Given s(x) = -6x + \(8x^2\) + 5x + 3, let's find the second derivative:

s'(x) = -6 + 16x + 5

s''(x) = 16

The second derivative is a constant, 16, which is positive. Since it is always positive, the graph of s(x) is concave up for all values of x. Therefore, at the point with x-coordinate -1, the graph is also concave up.

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Answer:

1. -18x+6

multiply everything inside with the number outside the bracket

2. -18x-6

same as number one

3. 18x-12

same as number one

4. -18x-6

same as number one

for 5 I can't see it well but it should be similar

you just need to substitute what's outside the bracket to what Is inside the bracket

Answer: -6 (3x+1)

Step-by-step explanation:

Factor the polynomial -18x-6−18x−6 by it's GCF: -6−6

Answer:

30% increase or decrease

Step-by-step explanation:

Because every mile is 3% and according to the question it is reduced 90 miles

Answer:

5

.......

...................

..

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Answer: 3/4 feet

Step-by-step explanation:

There are 6 feet for 8 bracelets, so we can do 6/8 = 3/4 feet