1) Which expression is equivalent to 40 - 9x + 4x + 5?

Answer:

\(45120 in^2\)

Step-by-step explanation:

Area of Taylor's Banner (AT): \(A_T = 8*564=4512 in^2\)

Area of Emily's Banner (AE): \(A_E=10*A_T\)

Plugging in AT: \(A_E = 10 * 4512 = 45120 in^2\)

The Area of Emily's Banner is 45120 inch²

The Area of rectangle is the product of its length to its width.

i.e., Area of rectangle= length x width

Given:

Taylor’s banner : 8 inches tall and 564 inches wide.

Area of Taylor's Banner= l x w

                                       = 8 x 564

                                       = 4512 inch²

and, area of Emily’s banner is 10 times as large as the area of Taylor’s banner.

So, Area of Emil's Banner= 10 x 4512

                                          = 45120 inch²

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yes she is if you mutilate and then simplify

Answer:

0

Step-by-step explanation:

1/2 times 4 is 2 and 2 minus 2 is 0

Answer:

y=0

Step-by-step explanation:

Substitute x in place of x

y=\((\frac{1}{2} *4)-2\)

y=2-2

y=0

Frequency means how often a number or something appears.

so,

2

4

3

5

The vertices of parallelogram MNOP after a rotation of 180° are: M' (-1, -7), N' (-8, -5), O' (-4, -2), and P' (3, -4).

A counterclockwise rotation of 270° to triangle GHI would produce an image with this vertices: G' (-2, 0), H' (-6, -7), and I' (-8, -3).

In this exercise, you are required to rotate parallelogram MNOP by 180° and triangle GHI by 270° in a counterclockwise direction. In Geometry, the rotation of parallelogram MNOP 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the vertices (-x, -y):

(x, y)                           →               (-x, -y)

Point M' = (1, 7)        →    Point M' = (-(1), -(7)) = (-1, -7).

Point N' = (8, 5)       →    Point N' = (-(8), -(5)) = (-8, -5).

Point O' = (4, 2)       →    Point O' = (-(4), -(2)) = (-4, -2).

Point P' = (-3, 4)       →   Point P' = (-(-3), -(4)) = (3, -4).

In Geometry, the rotation of triangle GHI by 270° about the origin in a counterclockwise direction would produce a point that has the vertices (y, -x):

(x, y)                           →               (y, -x)

Points at G = (0, -2)   →  Points at G' = (-2, 0)

Points at H = (7, -6)   →  Points at H' = (-6, -(7)) = (-6, -7).

Points at I = (3, -8)   →  Points at I' = (-8, -(3)) = (-8, -3).

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Hence,0.72 rather than to increase the radius to meet their requirements.

A cone is a three-dimensional geometric form with a plane base and a smooth tapering vertex. A cone is made up of a collection of line segments, half-lines, its  lines that connect the apex of the common point at to every point on a base that is in a flat  other than the apex. 

A measurement of three-dimensional space is volume. It is frequently expressed quantitatively using  US-standard units ,SI-derived units, as well as several imperial  Volume and the notion of length are connected.

Let the new radius x and the old radius as r. The formed volume was 175 cubic cm, and the new container height is 5 cm,

V = \(\frac{1}{3}\pi r^2h\), where V is the volume, r is the radius, and h is the height, is the formula for a cone volume.

We can construct an equation using the previous volume:

175 =    \(\frac{1}{3}\pi r^2h\)

the height is same for new and old container , so,:

175 =\(\frac{1}{3}\pi r^2*5\)

175 = \(\frac{5}{3}\pi r^2\)

By multiplying both sides by (5/3)

\(r^2 = \frac{175*3}{5*\pi}\) ≈ 22.3 use \(\pi\)=3.14

When both sides are square root

r ≈ 4.72

Therefore, the old container  radius is 4.72 cm.

now,We subtract the old radius from the new radius for  determine how much the radius must increase to s the new container:

x - r ≈ 4 - 4.72 ≈ -0.72

Because the new radius is lower than the old radius, the outcome is negative.

We would need to reduce the radius by roughly 0.72 cm rather than expand it to satisfy the needs of the new container.

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Answer:

5/6 in

Step-by-step explanation:

if you take \(\sqrt{25}/\sqrt{36}\), that gets you 5/6

Hope that helped :)

Answer:

Median is 18.

Mean is 22.

Step-by-step explanation:

Median has to be ordered from least to greatest:

1, 9, 17, 18, 25, 41, 43

then the median is the number in the middle, which is 18.

Mean is the sum of all the numbers, divided by 7 (because there are 7 numbers given)

25+18+9+1+43+17+41= 154

154/7 = 22

Answer:

Median = 18 Mean = 22

Step-by-step explanation:

Let's sort the numbers in order to find the median:

1, 9, 17, 18, 25, 41, 43

The median is the middle number: 18

The mean or average is the sum of the data divided by the amount of items in the list. 1+9+17+18+25+41+43 = 154 so it is 154/7 = 22

So the mean is 22

The graph K must represent an investment that was compounded continuously because investments that are compounded continuously increase at a faster rate than investments that use either simple interest or are compounded monthly.

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

\(A(t) = P_{0}e^{rt}\)

Where:

By critically observing the given graph, we can reasonably infer and logically deduce that the graph with line K represent an investment that was compounded continuously because the principal (initial amount of money) increases at a faster rate

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

tan x = 21/20

Something to remember: SOH-CAH-TOA

This means Sin is O/H, Cos is A/H, and Tan is O/A.

(O = opposite, A = adjacent, and H = hypotenuse)

Tan x would be O/A or 21/20.

Answer:

B) 6

Step-by-step explanation: g = x - 9,  g = 15 - 9.   15 - 9 = 6.

Answer:

We start with

g = x - 9

x = 15, so add the 15 in x.

g = 15 - 9

15-9=

6

So, g = 6

By using simple permutation and combination,  120 phone numbers can be made if the first digit must be 1.

We will use Permutation and Combinationn

The number in the first digit = 1 number (1)

Numbers in the second digit = 3 numbers as (5,6,7)

Numbers in the third digit = 4 numbers as (6,7,8,9)

Numbers in last 7 digits = 10 numbers  (0,1,2,3,4,5,6,7,8,9)

Now multiply

1*3*4*10=120

Thus, the answer is 120 phone numbers

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Answer:

Step-by-step explanation:

According to the graph, CD is 5 - 1 = 4 units long.

Rotation doesn't change the length of the segment, so C'D' = CD = 4 units.

Correct choice is A.

Length of CD

Distance between (1,-3) and (5,-3)

Rotation means no change in size

So C'D' is also 4units

Answer:

\(\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]\)

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

\(\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]\)

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

\(A^{-1}\) = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = \(\left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right]\)

\(A^{-1}\)= \(\frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right]\) = \(\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]\)

Answer:

Step-by-step explanation:

The required inequality x + m ≤ 510, and the distance is 316 miles.

Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.

Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.

Let,

x miles = distance already traveled

m miles = distance miles can travel with remaining gas

510 = max. miles can travel on a full tank

As per the given question,

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

Apply the subtraction operation, and we get

m ≤ 316

Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.

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The expression when Buffalo New York had 2ft of snow on the ground before a snowstorm is 2 - 0.25h.

From the information, Buffalo New York had 2ft of snow and we want to find the. expression based on the information given.

An expression have at least two terms which have to be related by through an operator.

Since Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of 25% in every hr. The expression will be:

2 - (25% × h)

= 2 - 0.25h

h = number of hours.

The expression is 2 - 0.25h.

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Complete question

Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of 25% in every hr. Illustrate the expression

Answer:

2x + 5

Step-by-step explanation:

Let x represent the number

Twice the number will be represented by 2x, since that multiplies the number by 2

Then, add 5 to this:

2x + 5

So, 2x + 5 is the expression that will represent this situation

Answer:

Jatziry 10%, Kwa 11.1% , Miguel 12.5% , Gina 13%

convert all into percentages

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

-16r^2 - 10r

Step-by-step explanation:

all you got to do is distribute

According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

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The phenomena of hiding distribution characteristics in a system from applications and users is known as distribution transparency. Access transparency, location transparency are some examples.

Distributed databases have the attribute of distribution transparency, which keeps consumers from knowing the internal workings of the distribution.

Thus, access transparency, location transparency are some examples of the (distribution) transparency.

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To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

Answer:

16 years

Step-by-step explanation:

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)^(nt)

where A is the final amount, P is the principal (initial amount), r is the annual interest rate (as a decimal), n is the number of times per year the interest is compounded, and t is the number of years.

In this case, P = $5000, r = 0.05 (since the annual interest rate is 5%), n = 12 (since the interest is compounded monthly), and we need to solve for t when A = $6,568.52.

Plugging in the values, we get:

$6,568.52 = $5000(1 + 0.05/12)^(12t)

Dividing both sides by $5000 and taking the natural logarithm of both sides, we get:

ln(1.313704) = ln(1 + 0.05/12)^(12t)

Using the logarithmic identity ln(a^b) = b ln(a), we can simplify the right side:

ln(1.313704) = 12t ln(1 + 0.05/12)

Dividing both sides by 12 ln(1 + 0.05/12), we get:

t = ln(1.313704) / (12 ln(1 + 0.05/12)) = 16.0

Therefore, it will take Mr. Sanchez 16 years to have $6,568.52 in the college fund, if he does not make any deposits or withdrawals. The answer is 16 years.

Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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Jasmine, as a structural engineer, is responsible for designing the lift hill of a roller coaster. By designing the lift hill according to this equation, Jasmine ensures that the roller coaster operates safely and effectively.

Jasmine, as a structural engineer, is responsible for designing the lift hill of a roller coaster. The equation y=x is a simple linear equation, where y represents the height of the lift hill and x represents the horizontal distance traveled along the track. In this case, the equation suggests that the height of the lift hill increases linearly with the horizontal distance traveled.

The equation y=x implies that for every unit increase in the distance traveled along the track, there is an equal increase in the height of the lift hill. This linear relationship ensures a gradual incline for the roller coaster, providing a smooth and enjoyable experience for riders. By designing the lift hill according to this equation, Jasmine ensures that the roller coaster operates safely and effectively.

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The expected number of customers in the system is 0.96.

Given that the arrivals to the drive-up teller window occur at a rate of 0.4 customers per minute, and the service times are exponentially distributed, we can use queuing theory to determine the operating characteristics of the system.

What is the expected number of customers waiting in line?

We can use the queuing formula Lq = (λ^2) / (μ(μ-λ)), where λ is the arrival rate and μ is the service rate. Here, λ = 0.4 and μ is the reciprocal of the average service time, which we need to calculate.

Assuming the bank tellers can serve customers in an average of 2 minutes, then μ = 1/2 = 0.5.

Plugging these values into the formula, we get:

Lq = (0.4^2) / (0.5(0.5-0.4)) = 0.16 customers

Therefore, the expected number of customers waiting in line is 0.16.

What is the expected time a customer spends in the system?

We can use the queuing formula W = (1/μ) + (Lq/λ), where μ is the service rate and λ is the arrival rate, and Lq is the expected number of customers waiting in line.

Using the same values of λ and μ as before, we can calculate Lq as 0.16 customers. Plugging these values into the formula, we get:

W = (1/0.5) + (0.16/0.4) = 2.4 minutes

Therefore, the expected time a customer spends in the system is 2.4 minutes.

What is the expected number of customers in the system (i.e., both waiting and being served)?

We can use the queuing formula L = λW, where λ is the arrival rate and W is the expected time a customer spends in the system.

Plugging in the values of λ and W that we calculated earlier, we get:

L = 0.4 x 2.4 = 0.96 customers

Therefore, the expected number of customers in the system is 0.96.

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The line integral, where C is the given curve. ∫C(xy)ds, C:x=t3, y=t4, 1≤t≤2 = 255/2.

To evaluate the line integral ∫C(xy)ds, we need to parameterize the curve C and then substitute into the integral expression. From the given equation of the curve, we can parameterize it as follows:

x = t^3, y = t^4, 1 ≤ t ≤ 2

To find ds, we need to calculate the differential of arc length ds along the curve C:

ds = sqrt(dx^2 + dy^2) = sqrt((3t^2)^2 + (4t^3)^2) dt = 5t^2 dt

Substituting x, y, and ds into the line integral, we get:

∫C(xy)ds = ∫1 to 2 (t^3)(t^4)(5t^2) dt

= 5 ∫1 to 2 t^9 dt

= 5 [t^10/10]_1^2

= 5 [(2^10)/10 - 1/10]

= 5 (512/10 - 1/10)

= 255/2

Therefore, the value of the line integral is 255/2.

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