What are the exact values of a and b?

Answer:

157.44 feet

Step-by-step explanation:

Given that:

Lance is out for sightseeing in Rome.

Lance went to see the Colosseum.

Height of the outer wall of the Colosseum = 48 meters

Unit Conversion formula:

1 meter = 3.28 feet

To find:

Height of the outer wall of the Colosseum in feet.

Solution:

It is simple problem for the conversion of unit where we already know the value in one unit and the conversion formula as well.

We have to simply find how much 48 meters will be when converted in feet.

1 meter = 3.28 feet

48 meter = 48 \(\times\) 3.28 = 157.44 feet

Hey there!☺

\(Answer:\boxed{y=\frac{-1}{2}}\)

\(Explanation:\)

\(\frac{y}{-8}=\frac{1}{16}\)

In our first step, we will use the cross multiply method:

\(\frac{y}{-8}=\frac{1}{16}\\ y*(16)=(1)*(-8)\\16y=-8\)

In our second/last step, we will divide both sides by 16:

\(\frac{16y}{16}=\frac{-8}{16}\\y=\frac{-1}{2}\)

Hope this helps!☺

Answer:

Step-by-step explanation:

16y = -8

y = -8/16

y = -1/2

Answer:

28>x

Step-by-step explanation:

7>x/4

remove the denominator by multiplying both sides by 4

4×7>x/4×4

28>x

Answer:

Part A = 7

Part B = 1

I hope this is right, sorry if it isn't

Answer:

See below

Step-by-step explanation:

5 cups cheese    /  ( 2/3 cup cheese/plate ) =

 5 * 3/2  = 15/2   = 7 1/2     or   7 full plates

2/3 cup cheese / plate  * 9 plates  =

   2/3 * 9 = 6 cups cheese   total

       she has 5 cups to start.....she will need 1 cup more

Answer:

I think c but I'm not sure

Answer:

c

Step-by-step explanation:

To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.

1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:

V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49

We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:

V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)

Here is a more detailed explanation of the substitution:

In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.

When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3

In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.

When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)

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Answer: John is 3 and Annie is 5

Step-by-step explanation:

because to be half of someone's age while being to years younger it would have to be 2 and 4 - but then a year passed and so the are now 3 and 5.

Answer: John is 3 and Annie is 5

Step-by-step explanation:

Half of 4 is 2 so last year John was 2 and Annie 4 and like a year has passed we add 1 to 2 and 4 which helps us determine that John is now 3 and Annie 5

Answer:

Vertical Compression by factor of 1/4

Step-by-step explanation:

Two methods:

Method 1. Transformations

Method 2. Algebraic input-output tables

Method 1. Transformations

The Main concept of this question is about Transformations of functions -- specifically, multiplying on the outside by a positive number less than 1.

The transformation that occurs when multiplying a function by a positive number on the outside of the function is a vertical stretch or compression.

Positive numbers larger than 1 will stretch it vertically, whereas positive numbers smaller than 1 will compress it vertically.

Therefore, multiplying by 1/4 on the outside, a positive number less than 1, will vertically compress the function down to one-fourth the size.

This means that for g(x), all points on the original function f will have their heights reduced to 1/4 their original height (or depth) -- making all points on g(x) 1/4 their previous distance from the x-axis on the "f" function.

Method 2. Algebraic input-output tables

Observe on the graph three points on the function f:

Using the equation relating f and g, \(g(x)=\frac{1}{4}f(x)\), we can find how those points would look like on the new function g(x).

For \(f(0)=0\)

\(g(0)=\frac{1}{4}[f(0)]\\g(0)=\frac{1}{4}[0]\\g(0)=0\)

For \(f(1)=4\)

\(g(1)=\frac{1}{4}[f(1)]\\g(1)=\frac{1}{4}[4]\\g(1)=1\)

For \(f(3)=0\)

\(g(3)=\frac{1}{4}[f(3)]\\g(3)=\frac{1}{4}[0]\\g(3)=0\)

These known points should correctly identify the graph from the possible choices.

Answer:

1

Step-by-step explanation:

assuming your points are (0,3) and (-3,0) you would "rise" 3 and "run" 3 to get from one point to the next on a graph, making your rise over run (aka slope) 3/3 which is equal to 1.

Answer:

10/5 - 4

Step-by-step explanation:

you have to write down what you understand from the sentence.

First, you read it carefully since it says quotient then you will have to put that first and then subtraction. Normally you would put subtraction in front because the sentence is in that order. But since your dealing with division then the subtraction part would go afer.

10/5 - 4

Answer: uhh i think both are correct since the order of operation states that you must do division over subtraction first, it doesn't matter which position 4 is in, but you must do the division first.

To estimate the probability of a tiger living longer than 14.3 years, we need to calculate the z-score of this value using the formula: z = (x - μ) / σ. So, the estimated probability of a tiger living longer than 14.3 years is 0.9972 or approximately 99.72%.


where x is the value we want to find the probability for (14.3 years), μ is the mean lifespan of tigers (22.4 years), and σ is the standard deviation (2.7 years).
Plugging in the values, we get:
z = (14.3 - 22.4) / 2.7
z = -2.96
Next, we can look up the probability of a z-score being less than -2.96 in a standard normal distribution table or use a calculator. The probability is approximately 0.0028.
However, we want to find the probability of a tiger living longer than 14.3 years, which is the complement of the probability of a tiger living less than or equal to 14.3 years. Therefore, we subtract the probability we just found from 1 to get:
P(living longer than 14.3 years) = 1 - 0.0028
P(living longer than 14.3 years) = 0.9972

To estimate the probability of a tiger living longer than 14.3 years given that the lifespans are normally distributed, we'll use the z-score formula: z = (X - μ) / σ
where X is the lifespan we're interested in (14.3 years), μ is the mean lifespan (22.4 years), and σ is the standard deviation (2.7 years).
Step 1: Calculate the z-score for 14.3 years
z = (14.3 - 22.4) / 2.7
z ≈ -3.0
Step 2: Look up the z-score in a standard normal table or use a calculator with a cumulative distribution function (CDF) for the standard normal distribution to find the probability for z = -3.0. This will give us the probability of a tiger living less than 14.3 years.
From the standard normal table or calculator, we find that the probability for z = -3.0 is approximately 0.0013.
Step 3: Since we're interested in the probability of a tiger living longer than 14.3 years, we need to subtract the probability found in Step 2 from 1:
Probability (lifespan > 14.3 years) = 1 - Probability (lifespan ≤ 14.3 years)
Probability (lifespan > 14.3 years) = 1 - 0.0013
Probability (lifespan > 14.3 years) ≈ 0.9987
So, there is approximately a 99.87% probability that a tiger in this zoo will live longer than 14.3 years.

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Answer:

Width: (13 inches side) 169 ft

Length: (11 inches side) 143 ft

Step-by-step explanation:

I'm not 100% sure but I tried :)

The value of imports is $304,533,333.33 and the value of exports is $311,633,333.33. So, option B is correct.

Let's denote the value of exports as E and the value of imports as I. We can then use the following system of equations to solve for E and I:

E - I = 7,100,000 (balance of trade equation)

0.12E + 0.21I = 9,148,200 (tariff revenue equation)

Multiplying the first equation by 0.12 and adding it to the second equation, we get:

0.12E - 0.12I + 0.21I = 9,148,200 + 0.12(7,100,000)

0.12E + 0.09I = 9,988,000

Multiplying both sides by 100, we can eliminate decimals:

12E + 9I = 998,800,000

We can now use this equation with the balance of trade equation to solve for E and I:

E - I = 7,100,000

12E + 9I = 998,800,000

Multiplying the first equation by 9 and subtracting it from the second equation, we get:

12E + 9I - 9E + 9I = 998,800,000 - 63,900,000

3E = 934,900,000

E = 311,633,333.33

Substituting this value into the balance of trade equation, we get:

311,633,333.33 - I = 7,100,000

I = 304,533,333.33

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Answer:

213

Step-by-step explanation:

Answer:

212.5

Step-by-step explanation:

250*.85 = 212.5

Answer: D

Step-by-step explanation:

Domain is x and Range is y

The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

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Answer:

-6k^2-12k

Step-by-step explanation:

-8k-6k^2-4k=-6k^2-8k-4k

=-6k^2-12k

Answer:

-6k^2-12k

Step-by-step explanation:

-8k-6k^2-4k

Combine like terms.

-6k^2-12k

-hope it helps

The type of polynomial that - 2 / 3 x b³ is D. Cubic polynomial.

A cubic polynomial is a type of polynomial function in algebra that has a degree of three. Cubic polynomials can take many different forms and can have multiple real roots, complex roots, or no real roots at all.

A quadratic polynomial contains a degree of 2, a linear polynomial contains a degree of 1, and a quartic polynomial contains a degree of 4. In this case, the highest degree of the variable b is 3, which makes it a cubic polynomial.

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We need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water

To make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water, we need to calculate how much water is needed.

We can do this by using the following formula:

Water = Diluted Squash - Squash First, we need to find out how much squash is in 2 litres of diluted squash.

Since the ratio is 1:7, we can divide 2 litres by the total number of parts (1 + 7 = 8) to find out how much squash is in 2 litres of diluted squash: Squash = 2 litres / 8 = 0.25 litres

Now we can use the formula to find out how much water is needed:

Water = 2 litres - 0.25 litres = 1.75 litres

Therefore, we need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water.

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If F(x) is a CDF of a probability distribution and F(r) = 0.5, then r is the median of the distribution.

Given that F(x) is a CDF of a probability distribution and F(r) = 0.5.F(r) represents the probability that the random variable is less than or equal to r and it is given that the probability is 0.5 or 50%.

Therefore, the value of r is called the median of the distribution, which separates the data into two equal parts, half of the data is less than or equal to r and half is greater than or equal to r.

Hence, the correct option is C.

Median is a statistical measure that is utilized to determine the middle number or middle value in a dataset. It is the point at which half of the dataset lies above the median value and half lies below it.

Hence, we can say that the median is also a measure of central tendency.

Summary:If F(x) is a CDF of a probability distribution and F(r) = 0.5, then r is the median of the distribution.

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For many hotels, including the Grand Hotel Toplice, the price of a room will fluctuate depending on  the time of year. Option B

The rates of hotel rooms tend to fluctuate depending on the demand during different seasons and times of high travel activity.

Hotels have a tendency to increase their room rates during peak tourist seasons or notable holiday periods, namely summer vacations or significant local events.

During times when there is less demand or fewer guests, prices may be decreased in order to entice visitors. The demand for hotel rooms and subsequent price changes can be impacted by factors such as climate, nearby activities, and cultural festivities specific to certain periods.

Generally, the room rates at hotels are not directly influenced by additional elements like the individual's gender, nationality, or the time of day.

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Answer: C.

Step-by-step explanation:

If ABCD gets rotated 180ᴼ, you will be able to see the reflection of ABCD to A’B’C’D’. Then just reflect across the x-axis (horizontal) to transform ABCD onto A’B’C’D’.

Answer:x − x^{2} − 1.

Step-by-step explanation:

.

Q6: Approximately 68.3% of the cherry tomatoes sold by Berkeley Bowl fall within the specified diameter limits of 20 mm to 32 mm.

Q7: To achieve half of the Six Sigma Quality, the standard deviation of the process should be approximately 0.22 mm for Berkeley Bowl's cherry tomatoes.

In Q6, we can use the concept of the normal distribution to determine the percentage of tomatoes within the specification limits. Since the average diameter is 26 mm and the standard deviation is 3 mm, we can assume a normal distribution and calculate the percentage of tomatoes within one standard deviation of the mean. This corresponds to approximately 68.3% of the tomatoes falling within the specified limits.

In Q7, achieving Six Sigma Quality means that the process has a very low defect rate. In this case, half of the Six Sigma Quality means reducing the variability in diameter to half the acceptable range.

The acceptable range is 32 mm - 20 mm = 12 mm. To achieve half the range, the standard deviation should be approximately half of 12 mm, which is 6 mm. Since the standard deviation is given as 3 mm, the process would need to be improved to reduce the standard deviation to approximately 0.22 mm for it to meet half of the Six Sigma Quality.

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Answer:

B, C, D

Step-by-step explanation:

7x + 1 + 105 = 180

7x = 74

x = 74/7

4y + 14 + 7y + 1 = 180

11y = 165

y = 15

m<A = 4y + 14 = 4(15) + 14 = 74°

m<B = 7x + 1 = 7(74/7) + 1 = 75°

m<C = 7y + 1 = 7(15) + 1 = 106°

Answer: B, C, D

12 minutes .

The tank takes 12 minute for the water level to measure 9 inches deep.

Given tank measurement = 15 inches .

it decreases 0.5 inches every minute.

We have to the minute at which water level reaches 9 inches deep,

Here the difference of inches is 6 inches .

15 inches - 6 inches = 9 inches

To find minute ,

  6 / 0.5 = 12 minute .

The tank takes 12 minute to measure 9 inches deep.

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Answer:

-4x

Step-by-step explanation:

3-7=-4 just add a x

Answer:

Step-by-step explanation: The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed (a cylinder and two cones). The silo is made up of a cylinder (with height 10 feet and base radius 5 feet) and two cones (each with height 5 ft and base radius 5 ft). The formulas given at the beginning of the SAT Math section:

Volume of a Cone:

\(V=\frac{1}{3} \pi r^2h\)

Volume of a Cylinder:

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

can be used to determine the total volume of the silo. Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is given by

\(V_{silo} =\pi (5^2)(10)+(2)(\frac{1}{3})\pi (5^2)(5)=(\frac{4}{3})(250)\pi\)

which is approximately equal to 1,047.2 cubic feet.

The final answer is D.

Answer: =7y^2+20y−3

Step-by-step explanation: