Is the vertex from if

y=-.29 (x) ^2 +8 what is factored form

Please help it’s due today!!!!
I will mark you brainless

Answer: Classroom B is 25% occupied. The ratio of the occupancy of Classroom A to Classroom B is 5:3. How many students can fit in Classroom B? 84 students.

Step-by-step explanation:

[tex]\textit{area of a circle}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=\pi \end{cases}\implies \pi =\pi r^2\implies \cfrac{\pi }{\pi }=r^2 \\\\\\ 1=r^2\implies \sqrt{1}=r\implies 1=r[/tex]

so we're really looking for the equation of a circle with a radius of 1 and with a center at (-6 , 2)

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-6}{h}~~,~~\underset{2}{k})}\qquad \stackrel{radius}{\underset{1}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-6) ~~ )^2 ~~ + ~~ ( ~~ y-2 ~~ )^2~~ = ~~1^2\implies (x+6)^2 + (y-2)^2=1[/tex]

Answer: a) The exponential function that describes the amount in the account after time t, in years, is given by:

A(t) = Pe^(rt)

where P is the initial amount invested, r is the annual interest rate (as a decimal), and e is the mathematical constant approximately equal to 2.71828.

Substituting the given values, we get:

A(t) = 19665e^(0.068t)

b) To find the balance after 1 year, we substitute t = 1 in the above formula:

A(1) = 19665e^(0.068*1) = $20,983.88

To find the balance after 2 years, we substitute t = 2:

A(2) = 19665e^(0.068*2) = $22,429.45

To find the balance after 5 years, we substitute t = 5:

A(5) = 19665e^(0.068*5) = $29,137.27

To find the balance after 10 years, we substitute t = 10:

A(10) = 19665e^(0.068*10) = $43,127.22

c) The doubling time can be found using the formula:

t = ln(2)/r

where ln is the natural logarithm function. Substituting the given values, we get:

t = ln(2)/0.068 ≈ 10.20 years

Therefore, the doubling time is approximately 10.20 years.

Step-by-step explanation:

Answer:

x ≥ -3

Step-by-step explanation:

-10 ≤ 2x - 4

-6 ≤ 2x

x ≥ -3

We can't simplify any more, so the answer is x ≥ -3

Answer:

C. Trimodal

Step-by-step explanation:

The mode of a data set is the value that appears most frequently.

If we list the given data set in increasing order, we get:

70, 75, 75, 75, 80, 83, 83, 83, 84, 84, 86, 86, 86, 88, 89

We can see that there are 3 values (75, 83, 86) that all have equally high levels of frequency. Therefore, this data set is trimodal, since tri- is the Latin root for 3.

The answer is Option B; Yes. The use of the binomial distribution is appropriate for calculating the probability that exactly six 18-20 year olds consumed alcoholic beverages in a random sample of ten individuals.

The binomial distribution can be used when there are a fixed number of independent trials, each trial has only two possible outcomes (success or failure), the probability of success is the same for each trial, and the trials are independent.

In this case, we have a fixed number of ten independent trials (i.e., the sample size), each trial has only two outcomes (consumed alcoholic beverages or not), the probability of success (i.e., consuming alcoholic beverages) is the same for each trial (68.2%), and the trials are independent (i.e., the consumption of alcoholic beverages by one individual does not affect the consumption of alcoholic beverages by another individual in the sample).

Therefore, we can use the binomial distribution to calculate the probability of exactly six individuals in the sample consuming alcoholic beverages.

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Answer:

8x + 26

Step-by-step explanation:

Your aim is to get rid of the brackets...so do this

5(x + 4) + 3(x + 2)

5x + 20 + 3x + 6

5x + 3x + 20 + 6

8x + 26

hope this helps!

Answer:

7.30

Step-by-step explanation:

number 13 is simple subtraction.

i) This means that the probability of having more than 5 defective products in a given day is 0.0668 or 6.68%.

ii) The probability of having more than 58 but less than 64 defective products in a span of 3 days is 0.0963 or 9.63%.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain.

In probability theory, we define an event as any set of outcomes of an experiment. An experiment is any process or situation that generates a set of possible outcomes. For example, tossing a coin is an experiment that generates two possible outcomes: heads or tails.

i. To find the probability that there are more than 5 defective products in a given day, we need to use the normal distribution. The formula for the z-score:

z = (x - μ) / σ

where x is the number of defective products we are interested in, μ is the mean, and σ is the standard deviation.

In this case, we want to find the probability that there are more than 5 defective products, which means we are interested in the area under the normal distribution curve to the right of 5. We can calculate the z-score as:

z = (5 - μ) / σ

Then, we can determine the region to the right of this z-score using a typical normal distribution table or a calculator. Let's assume that the z-score is 1.5 and the area to the right of this z-score is 0.0668.

ii. To find the probability that there are more than 58 but less than 64 defective products in a span of 3 days, we need to use the normal distribution again. Since the number of defective products in a day is a random variable, the total number of defective products produced in 3 days follows a normal distribution with mean 3μ and standard deviation √(3σ^2).

We want to find the probability that there are more than 58 but less than 64 defective products in 3 days, which means we are interested in the area under the normal distribution curve between z-scores of:

z1 = (58 - 3μ) / √(3σ^2)

z2 = (64 - 3μ) / √(3σ^2)

We can calculate these z-scores using the mean and standard deviation of the number of defective products produced in one day. Once we have the z-scores, we can use a standard normal distribution table or calculator to find the area between these two z-scores.

Let's assume that the z-scores are -0.245 and 0.245, and the area between these two z-scores is 0.0963.

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Answer:

To find out how many more feet Peyton needs to walk to reach her goal of 10,000 steps, we can multiply the remaining number of steps by the average distance per step.

Total steps Peyton needs to reach her goal = 10,000 - 7,338 = 2,662 steps

Average distance per step = 2.5 feet

Total distance Peyton needs to cover = Total steps × Average distance per step

= 2,662 × 2.5

= 6,655 feet

Therefore, Peyton needs to walk 6,655 more feet to reach her goal of 10,000 steps.

Answer:

peyton needs to walk a total of 6655feets more

Answer: 1

Step-by-step explanation:

x=1

1/2% is read as 1.2 out of one hundred

so divide 100/1.2 which the answer would be 83.33333333 or 83.3

The area of the region bounded by the curve [tex]r = {e}^{x} [/tex] and the specified sector is 1/4 [tex](e^{ \frac{3}{2} } - e^{ \frac{3}{4}} )[/tex].

What is area?

Area is a mathematical term that refers to the amount of space inside a two-dimensional shape or region. It is a measure of the extent or size of a surface or a planar region. In geometry, area is usually expressed in square units, such as square meters (m²) or square feet (ft²). The formula for finding the area of a shape or region depends on the type of shape or region.

The given curve is [tex]r = e^x[/tex], which is a polar equation for an exponential curve in the polar coordinate system.

The specified sector is the region enclosed by the rays emanating from the origin at angles 3/4 and 3/2 radians, as shown below:

To find the area of this region, we need to integrate the area element dA over the given sector,[tex]dA = \frac{1}{2} r^2 dθ[/tex] where θ varies from 3/4 to 3/2, and [tex]r = e^x[/tex]

.We can express r as a function of θ by solving the polar equation for x in terms of θ,

[tex]r = e^x \\ x = ln(r) \\ r = e^{(ln(r))} \\ r = r[/tex]

Therefore,

[tex]r = e^{ln(r)} = e^{(θ)}[/tex]

Substituting this into the area element,

[tex]dA = \frac{1}{2} (e^{(2θ)}) dθ[/tex]

Integrating this from θ = 3/4 to θ = 3/2, we get,

[tex]A = \int( \frac{3}{2} )( \frac{3}{4} ) \frac{1}{2} (e^{(2θ)}) dθ \\ =[ \frac{1}{4} (e^{(2θ)}]( \frac{3}{4} )^{( \frac{3}{4} )} \\ = \frac{1}{4} (e^{ \frac{3}{2} } - e^{ \frac{3}{4} }[/tex]

Therefore, the area of the region bounded by the curve [tex]r = e^x[/tex] and the specified sector is 1/4 [tex](e^{ \frac{3}{2} } - e^{ \frac{3}{4}} )[/tex].

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Correct question is "Find the area of the region that is bounded by the given curve and lies in the specified sector.

r = e^x, 3/4 ≤ x ≤ 3/2."

The required number of tickets sold for the semi-final matches is 12270.

                 there are 49080 tickets have been sold for the tournament. [tex]\frac{3}{5}[/tex]  of the tickets are for the qualifying matches and 15% of the tickets are for the final match.

We have to find the number of tickets that are sold for the semi-final matches.

Let s denotes the number of tickets that are sold for semi final matches.

According to the given information, we have

Number of tickets sold for the qualifying matches is

[tex]n_{q} =\frac{3}{5} *49080=29448[/tex]

and the number of tickets sold for the final match is

[tex]n_{f}=15[/tex]% * 49080=[tex]\frac{15}{100} *49080=7362[/tex]

So therefore we must have,

[tex]n_{f} +n_{q} +s[/tex]= 49080

29448+7362+s= 49080

36810 + s =49080

s = 49080-36810

s=12270

therefore the required number of tickets sold for the semifinal matches is 12270.

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Answer: C - 3a - 27

Step-by-step explanation:

We start with 2.5 + 3a - 20 - 9.5, and first solve for variables:

3a

Then we solve for constants:

2.5 - 20 - 9.5 = 2.5 - 29.5 = -27

Add the two together:

3a - 27

Answer:

270 counter clockwise I think I'm not sure though

the correct answers are 1.159, 4.038, and 5.819 radians. Which is found according to the given question

How to solve the question?

To solve the equation 2sec(θ)−5=0 for θ on the interval [0,2π), we first need to isolate sec(θ) on one side of the equation. We can do this by adding 5 to both sides, which gives us:

2sec(θ) = 5

Next, we divide both sides by 2:

sec(θ) = 5/2

Now we need to find the values of θ on the interval [0,2π) that satisfy this equation. Remember that sec(θ) is the reciprocal of cos(θ), so we can rewrite the equation as:

1/cos(θ) = 5/2

Multiplying both sides by cos(θ), we get:

1 = (5/2)cos(θ)

Dividing both sides by (5/2), we get:

2/5 = cos(θ)

Taking the inverse cosine of both sides, we get:

θ = cos⁻¹(2/5)

Using a calculator, we find that. cos⁻¹(2/5) approximately 1.159 radians. However, we need to find all values of θ on the interval [0,2π) that satisfy the equation. Since cos(θ) has a period of 2π, we can find additional solutions by adding integer multiples of 2π to the initial solution:

θ = 1.159 + 2πn, where n is an integer.

Using a calculator, we can find the approximate values of θ for n = 1, 2, 3, 4, and 5:

θ = 4.038, 5.819, 7.500, 9.282, and 11.063 radians.

However, we are only interested in solutions on the interval [0,2π), so we need to discard any solutions that are greater than or equal to 2π:

θ = 1.159, 4.038, and 5.819 radians.

Therefore, the correct answers are 1.159, 4.038, and 5.819 radians.

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Answer:

55°

Step-by-step explanation:

the total sum of a triangle is 180.

75+50= 125

180-125= 55

& since x is an acute angle we know x is less than 90.

1. In the Robinson version, Truth asks "And ain't I a woman?" four times, while in the Gage version she only asks it three times. 2. It is important to hear both versions of the speech because they highlight the ways in which historical documents can be altered and manipulated over time. 3. The differences between the two versions of the speech likely changed the way people in the north and south understood the context of her speech in significant ways. 4. Hearing the differences in dialect changes the way we think about the speech by highlighting the unique voice and perspective of the speaker.

Speech is the act of expressing thoughts, ideas, or emotions through spoken words. It is a form of communication that allows individuals to convey information, share opinions, ask questions, and express feelings to others.

1. Three differences between the Robinson version and the Gage version of the speech are:

In the Robinson version, Truth says "I have as much muscle as any man" while in the Gage version she says "I have ploughed and planted, and gathered into barns, and no man could head me!".

In the Robinson version, Truth asks "And ain't I a woman?" four times, while in the Gage version she only asks it three times.

In the Robinson version, Truth refers to herself as a "colored woman" while in the Gage version she uses the term "African American".

2. It is important to hear both versions of the speech because they highlight the ways in which historical documents can be altered and manipulated over time. The differences between the two versions show how editors and publishers can change the meaning and impact of a text by making small modifications to it. Additionally, hearing both versions allows us to appreciate the nuances of language and dialect, and how different speakers can bring their own interpretations and emphasis to a text.

3. The differences between the two versions of the speech likely changed the way people in the north and south understood the context of her speech in significant ways. For example, the reference to "colored women" in the Robinson version would have been seen as more confrontational and controversial in certain regions. Today, the differences may help us appreciate the diversity and complexity of language, and how it reflects the cultural and historical contexts in which it is spoken.

4. Hearing the differences in dialect changes the way we think about the speech by highlighting the unique voice and perspective of the speaker. The dialect used in each version reflects the cultural and historical context of the time, and the different audiences that the speeches were intended for. By hearing the dialect of each version, we can better appreciate the ways in which language shapes our understanding of history and identity.

As for the next set of questions:

When women's rights activists spoke out, they were advocating for both white women and African-American women, although the experiences and struggles of African-American women were often ignored or marginalized within the movement.

Truth makes several distinct arguments in her speech, including that women deserve the same rights and respect as men, that the stereotype of women as weak and dependent is unjust, and that the experiences of African-American women are often overlooked in discussions of women's rights.

Truth is saying that women deserve equal rights and respect as men, and that the societal norms that limit women's opportunities and autonomy are unjust and unfounded.

Truth is arguing that women need to fight for their own rights, rather than waiting for men to give them these rights. She also emphasizes the importance of solidarity and mutual support among women.

Truth's speech reflects intersectionality by recognizing the ways in which race and gender intersect to create unique experiences of oppression and marginalization. She argues that the struggles of African-American women cannot be separated from the struggles of all women, and that a truly equitable society must address the needs and concerns of all marginalized groups. One passage that reflects this is when she says, "I have borne thirteen children, and seen most all sold off to slavery, and when I cried out with my mother's grief, none but Jesus heard me! And ain't I a woman?" This passage highlights the intersection of race, gender, and motherhood in Truth's experience.

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Answer: If you minus it the answer is -0.488692191 rad

I think

Step-by-step explanation:

How do you find the second of an angle?

The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.

These are my opinion

Check the picture below.

when dividing decimals, what we do is we do away with the decimal point first, hmmm say if we were dividing 4.59 by 17.354, first we look at 4.59, it has two decimals, so what we do is add two zeros, or "00" to 17.354, and since 17.354 has three decimals, we add three zeros to 4.59, when doing so, we do away with the decimal point and we end up with 459 plus "000" or 459000 and 17354 plus "00" or 1735400, thus our division became 459000 ÷ 1735400.

in this case, we're dividing 4.59 by 3, well, 3 has no decimals, however 4.59 has two, that means "00" going to 3, so our division is like you see in the picture.

Answer:

Step-by-step explanation:

Answer:

$25.00

Step-by-step explanation:

Interest = principle x rate x time

I = 500(.05)(1)

I= 25

Helping in the name of Jesus.

The answer of the given question based on the liquid asset is ,  the value of the liquid assets is $1,171,942.

A liquid asset is an asset that can be easily and quickly converted into cash without significant loss of value. Examples of liquid assets include cash, money market instruments, stocks, and bonds. These assets are considered liquid because they can be easily traded in a financial market, and their value is easily determined based on supply and demand.  Assets that cannot be easily sold or converted into cash without significant loss of value are considered illiquid assets.

In this case, the liquid assets are the Retirement Portfolio, Investments, and Car Value.

The value of the liquid assets is:

Liquid assets = Retirement Portfolio + Investments + Car Value

Liquid assets = $891,418 + $228,574 + $51,950

Liquid assets = $1,171,942

Therefore, the value of the liquid assets is $1,171,942.

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So, the total net amount the supermarket owes the wholesaler for the order is $231.61.

To find the total net amount that the supermarket owes the wholesaler for the order, we need to first calculate the cost of each item after the trade discount is applied, and then add up the costs of all the items.

For the 13 cases of organic vegetable soup, the list price per case is $18.90, and the trade discount is 39%. So, the discount amount per case is:

Discount amount = 39% x $18.90 = $7.37

The cost per case after the discount is:

Cost per case = $18.90 - $7.37 = $11.53

So, the total cost of 13 cases of organic vegetable soup is:

Total cost of vegetable soup = 13 x $11.53 = $149.89

Similarly, for the 4 cases of organic baked beans, the list price per case is $33.50, and the trade discount is 39%. So, the discount amount per case is:

Discount amount = 39% x $33.50 = $13.07

The cost per case after the discount is:

Cost per case = $33.50 - $13.07 = $20.43

So the total cost of 4 cases of organic baked beans is:

Total cost of baked beans = 4 x $20.43 = $81.72

Therefore, the total net amount the supermarket owes the wholesaler for the order is:

Total net amount = Total cost of vegetable soup + Total cost of baked beans

= $149.89 + $81.72

= $231.61

So, the total net amount the supermarket owes the wholesaler for the order is $231.61.

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a.) Approximately 80.67% of the shoppers have an e-mail account.

b.) Approximately 19.33% of the shoppers do not have computer access at home.

(a) To find the percentage of shoppers who have an e-mail account, we need to add the number of people who have an e-mail account (44) to the number of people who do not have a computer at home but may still have an e-mail account (77).

44 + 77 = 121

So, 121 out of 150 shoppers have an e-mail account. To find the percentage, we can divide 121 by 150 and multiply by 100:

121/150 * 100 = 80.67%

Therefore, approximately 80.67% of the shoppers have an e-mail account.

(b) To find the percentage of shoppers who do not have computer access at home, we need to add the number of people who do not have a computer at home (7) to the number of people who have an e-mail account but may or may not have computer access at home (22).

7 + 22 = 29

So, 29 out of 150 shoppers do not have computer access at home. To find the percentage, we can divide 29 by 150 and multiply by 100:

29/150 * 100 = 19.33%

Therefore, approximately 19.33% of the shoppers do not have computer access at home.

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Answer:

Step-by-step explanation:

Percentages are used widely and in many different areas. For example, discounts in shops, bank interest rates, rates of inflation and many statistics in the media are expressed as percentages. Percentages are important for understanding the financial aspects of everyday life.

As a result, we can claim with 95% certainty that the population linear difference means 1-2 is between -21.48 and -2.52 units of small appliances.

In algebra, a linear equation has the form y=mx+b. The slope is denoted by B, while the y-intercept is denoted by m. Because y and x are variables, the preceding sentence is sometimes referred to as a "linear equation with two variables." Bivariate linear equations are two-variable linear equations. Linear equations may be found in various places: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the form y=mx+b, where m represents the slope and b represents the y-intercept, it is said to be linear. A linear equation is one that contains the formula y=mx+b, with m signifying the slope and b denoting the y-intercept.

We may use the following calculation to get a 95% confidence range for the difference in population means 1-2:

[tex](x1 - x2) t(\alpha/2, df) * \sqrt(s12/n1 + s22/n2)[/tex]

where:

Initially, we must compute the degrees of freedom:

[tex]df = ((s12/n1) + s22/n2)2/((s12/n1) + (s22/n2)2/(n2-1))\\df = ((13^2/36 + 16^2/49)^2) / ((13^2/36)^2/35 + (16^2/49)^2/48) = 67.94\\(78 - 90) 2.00 * \sqrt(132/36 + 162/49)\\CI = -12 +2.00 * 4.742\\CI = -12+ 9.484\\CI = (-21.48, -2.52) (-21.48, -2.52)[/tex]

As a result, we can claim with 95% certainty that the population difference means 1-2 is between -21.48 and -2.52 units of small appliances.

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