A candle company would like to ship out 9 candles per box. The candles are 6 inches in height and have a diameter of 6 inches. The candles are placed inside the box in a 3 × 3 × 1 formation. If the boxes have 1 inch of padding on all sides of the box and 1 inch of padding between each of the candles, what are the dimensions of the box?

Answers

Answer 1

The dimensions of the box are 22 inches by 22 inches by 10 inches.

The candles are arranged in a 3x3x1 formation, which means they occupy a space of 3 candles in length, 3 candles in width, and 1 candle in height. The height of each candle is 6 inches, so the total height of the candles is 6 inches. The diameter of each candle is 6 inches, so the width and length of the candle formation are each 6*3 = 18 inches.

To calculate the dimensions of the box, we need to add the padding around the candles. There is 1 inch of padding on all sides of the box, which adds 2 inches to the width, length, and height of the box. There is also 1 inch of padding between each candle in all directions, which adds 2 inches to the width, length, and height of the box. Therefore:

Width of box = (3 candles * 6 inches/candle) + (2 inches padding * 2) = 18 inches + 4 inches = 22 inches

Length of box = (3 candles * 6 inches/candle) + (2 inches padding * 2) = 18 inches + 4 inches = 22 inches

Height of box = 6 inches + (2 inches padding * 2) = 10 inches

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Related Questions

Help please guys thanks

Help please guys thanks

Answers

From the figure of the triangle, the length of LK is calculated to be 10

How to calculate the length of LK from the triangle

The knowledge used here is that of similar triangles.

In similar triangles the sizes of the triangles are not equal however the ratio of the sizes are equal

The formula for the similar triangle used here is:

JR / JL = SR / LK

from the given figure

JL = 2JR,  SR = 5

plugging the values into the equation gives

JR / 2JR = 5 / LK

1 / 2 = 5 / LK

LK = 10

The length of KL = 10 units

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A rental car company charges $77. 50 per day to rent a car and $0. 14 for every mile

driven. Juan wants to rent a car, knowing that:

• He plans to drive 425 miles.

• He has at most $230 to spend.

Write and solve an inequality which can be used to determine d, the number of days

Juan can afford to rent while staying within his budget.

Answers

77.5d + .14m

m = 425

.14 * 425 = 59.5

77.5d + 59.5 ≤ 230

77.5d ≤ 170.5

d ≤ 170.5/77.5

d ≤ 2.2

if they only take payment for whole days, he has 2 whole days

An analog signal is given as xa(t) = sin(480лt) + 6sin(420лt) which is sampled using Fs = 600 samples/sec. Compute the a. Nyquist sampling rate for xa(t), b. folding frequency, c. corresponding discrete time signal, d. frequencies of the corresponding discrete time signal, e. corresponding reconstructed signal ya(t) if it passes through an ideal D/A converter.

Answers

a. The Nyquist sampling rate for xa(t) can be calculated by taking twice the maximum frequency component in the signal. In this case, the maximum frequency component is 480л, so the Nyquist sampling rate is:

\(\displaystyle \text{Nyquist sampling rate} = 2 \times 480\pi = 960\pi \, \text{rad/sec}\)

b. The folding frequency is equal to half the sampling rate. Since the sampling rate is 600 samples/sec, the folding frequency is:

\(\displaystyle \text{Folding frequency} = \frac{600}{2} = 300 \, \text{Hz}\)

c. The corresponding discrete time signal can be obtained by sampling the analog signal at the given sampling rate. Using the sampling rate Fs = 600 samples/sec, we can sample the analog signal xa(t) as follows:

\(\displaystyle xa[n] = xa(t) \Big|_{t=n/Fs} = \sin\left( 480\pi \cdot \frac{n}{600} \right) + 6\sin\left( 420\pi \cdot \frac{n}{600} \right)\)

d. The frequencies of the corresponding discrete time signal can be determined by dividing the analog frequencies by the sampling rate. In this case, the discrete time signal frequencies are:

For the first term: \(\displaystyle \frac{480\pi}{600} = \frac{4\pi}{5}\)

For the second term: \(\displaystyle \frac{420\pi}{600} = \frac{7\pi}{10}\)

e. The corresponding reconstructed signal ya(t) can be obtained by applying an ideal digital-to-analog (D/A) converter to the discrete time signal. Since an ideal D/A converter perfectly reconstructs the original analog signal, ya(t) will be the same as xa(t):

\(\displaystyle ya(t) = xa(t) = \sin(480\pi t) + 6\sin(420\pi t)\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

(a) what are the conditions on the common ratio r and initial value a, that would make the resulting geometric sequence increasing? (b) what are the conditions on the common ratio r and initial value a, that would make the resulting geometric sequence decreasing? (c) what are the conditions on the common difference d and initial value a, that would make the resulting arithmetic sequence increasing?

Answers

(a) For a geometric sequence to be increasing: r > 0 and a > 0 , (b) For a geometric sequence to be decreasing: r < 0 or (a > 0 and -1 < r < 0) , (c) For an arithmetic sequence to be increasing: d > 0 and a > 0.

(a) To ensure that a geometric sequence is increasing, both the common ratio (r) and the initial value (a) must be positive. The common ratio determines the rate at which each term of the sequence increases or decreases. If the common ratio (r) is positive, each subsequent term will be larger than the previous term, resulting in an increasing sequence.

Likewise, if the initial value (a) is positive, the terms will start with a positive value and continue to increase as the sequence progresses. Therefore, for a geometric sequence to be increasing, the conditions are: r > 0 (positive common ratio) and a > 0 (positive initial value).

(b) Conversely, for a geometric sequence to be decreasing, either the common ratio (r) must be negative, or the initial value (a) must be positive while the common ratio is between -1 and 0 (exclusive). If the common ratio (r) is negative, each subsequent term will be smaller than the previous term, resulting in a decreasing sequence.

Alternatively, if the initial value (a) is positive and the common ratio (r) is between -1 and 0, each term will have a magnitude smaller than the previous term but with opposite sign, leading to a decreasing sequence. Therefore, the conditions for a geometric sequence to be decreasing are: r < 0 (negative common ratio) or (a > 0 and -1 < r < 0).

(c) For an arithmetic sequence to be increasing, both the common difference (d) and the initial value (a) must be positive. The common difference represents the constant amount by which each term in the sequence differs from the previous term. If the common difference (d) is positive, each subsequent term will be larger than the previous term, resulting in an increasing sequence.

Similarly, if the initial value (a) is positive, the terms will start with a positive value and continue to increase with each subsequent term. Therefore, for an arithmetic sequence to be increasing, the conditions are: d > 0 (positive common difference) and a > 0 (positive initial value).

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find area of triangles​

find area of triangles

Answers

area is base x height divide by 2
12x12=144
144 divide by 2 is 77

Joe takes out a 30-year fixed rate amortized loan for 220,000, and makes equal size payments at the end of each month. The rate is quoted as being an annual nominal interest rate of 5.25% compounded monthly and Joe also has to pay closing fees equal to 5% of the value of the loan. Based on this information, find the actual interest rate realized by Joe (i.E. Taking into account the loan given to Joe and the 5% that he pays for the closing fees). Give the value as an annual nominal rate compounded monthly, and round your percent answer to two decimal places.

Answers

Answer:

Annual Interest Rate, r  = 5.69%

Step-by-step explanation:

Amount of loan taken = 220,000

Closing fee is 5% of the loan value

Closing fee = 5% of 222,000 = 0.05 * 220000 = 11000

Therefore, Principal, P = Loan amount + closing fee

P = 220000 + 11000

P = 231, 000

Annual rate, r= 5.25% = 0.0525

Monthly rate, i = 0.0525/12 = 0.004375

Time, n = 30 years = 30*12 = 360 months

The monthly payment will be calculated by:

\(PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\PMT = \frac{231000 * 0.004375}{1 - (1 + 0.004375)^{-360}} \\\\PMT = 1275.59\)

Assuming payments are made based on 220,000, let us calculate the monthly interest rate.

\(PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\1275.59 = \frac{220000 * i}{1 - (1 + i)^{-360}} \\\\i = 0.00474229\)

Annual rate, r = 12 * 0.0047429

r = 0.0569 = 5.69%

Determine the discriminant for the quadratic equation -3=x^2+4x+1. Based on the discriminant value, how many real number solutions does the equation have ? Discriminant value = b^2-4ac

Answers

Answer:

One real root (multiplicity 2).

Step-by-step explanation:

-3=x^2+4x+1

x^2 + 4x + 4 = 0

Discriminant = 4^2 - 4*1*4 = 0

There is one real root (multiplicity 2).

The equation has 1 real solution.

The quadratic function is given as:

\(-3=x^2+4x+1\)

Add 3 to both sides of the equation

\(3-3=x^2+4x+1 + 3\)

This gives

\(0=x^2+4x+4\)

Rewrite the equation as:

\(x^2+4x+4 = 0\)

A quadratic equation is represented as:

\(ax^2+bx+c = 0\)

By comparison, we have:

\(a =1\)

\(b =4\)

\(c = 4\)

The discriminant (d) is calculated as:

\(d =b^2 - 4ac\)

So, we have:

\(d =4^2 - 4 \times 1 \times 4\)

\(d =16 - 16\)

Evaluate like terms

\(d = 0\)

Given that the discriminant value is 0, it means that the equation has 1 real solution.

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In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.

Answers

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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suppose you start at the point s0, 0, 3d and move 5 units along the curve x − 3 sin t, y − 4t, z − 3 cos t in the positive direction. where are you now?

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Starting at the point (s0, 0, 3d) and moving 5 units along the curve x - 3 sin t, y - 4t, z - 3 cos t in the positive direction, we can determine the new position. After analyzing the given curve equations, it can be concluded that the x-coordinate increases by 5, the y-coordinate decreases by 20, and the z-coordinate decreases by 3√2. Therefore, the new position is (s0 + 5, -20, 3d - 3√2).

The given curve is described by the equations x - 3 sin t, y - 4t, z - 3 cos t. To find the new position after moving 5 units in the positive direction, we need to determine how each coordinate changes. Let's analyze each coordinate individually.

The x-coordinate is given by x = 3 sin t. Since we are moving 5 units in the positive direction, the new x-coordinate will be x + 5 = 3 sin t + 5. Therefore, the x-coordinate increases by 5 units.

The y-coordinate is given by y = 4t. As we move along the curve, the y-coordinate decreases. Since we are moving in the positive direction, we subtract 5 units from the initial y-coordinate. Thus, the new y-coordinate is y - 5 = 4t - 20, resulting in a decrease of 20 units.

The z-coordinate is given by z = 3 cos t. Similar to the x-coordinate, we are moving 5 units in the positive direction. Hence, the new z-coordinate will be z + 5 = 3 cos t - 3√2. Therefore, the z-coordinate decreases by 3√2 units.

Combining the changes in each coordinate, we obtain the new position. The x-coordinate increases by 5 units (s0 + 5), the y-coordinate decreases by 20 units (-20), and the z-coordinate decreases by 3√2 units (3d - 3√2). Consequently, the new position is (s0 + 5, -20, 3d - 3√2) after moving 5 units along the given curve in the positive direction.

It's worth noting that the value of s0 and d are not provided in the question, so the final answer includes these variables. Depending on the specific values assigned to s0 and d, the new position can be determined precisely.

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A study found the average monthly trash bill in a particular town to be between $44 - $68. What is the point estimate?

Answers

The point estimate, given the average monthly trash bill in the town, can be found to be $56

How to find the point estimate?

The point estimate is defined as the single figure that is the best estimate a data set. This figure is often the mean and can also be the mode or the median.

In this case, the point estimate is needed for the average monthly trash bill which is between $44 and $68 which means that the point estimate will be the mean.

The mean is therefore:

= ( 44 + 68) / 2

= $56

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8x - 4 = 2(4x - 4)

Please help me. I need to get my grade up. No links or I will report.

Answers

Answer:

no solutions

Step-by-step explanation:

8x-4=2(4x-4)

8x-4=8x-8

-8x   -8x

-4=-8

not true so no solutions

hopes this helps

Answer:

Its unsolvable.

Step-by-step explanation:

I tried to solve using all kinds of numbers, but it just is something you cannot solve. Clever.

Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately click fraud, the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue, has become a problem. Forty percent of advertisers claim they have been a victim of click fraud. Suppose a random sample of 380 advertisers will be taken to learn more about how they are affected. What is the probability that the sample proportion will be with 0.04 of the population proportion?

Answers

Answer:

The probability that the sample proportion will be with 0.04 of the population proportion is 0.8904.

Step-by-step explanation:

Let p = proportion of advertisers who claim they have been a victim of click fraud.

The population proportion is, p = 0.40.

A random sample of 380 advertisers is selected.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\(\mu_{\hat p}=p\)

The standard deviation of this sampling distribution of sample proportion is:

\(\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}\)

The sample selected is too large, i.e. n = 380 > 30.

Then the proportion of advertisers who claim they have been a victim of click fraud can be approximated by the normal distribution.

The mean and standard deviation of this sampling distribution of sample proportion is:

\(\mu_{\hat p}=p=0.40\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.40(1-0.40)}{380}}=0.025\)

Compute the probability that the sample proportion will be with 0.04 of the population proportion as follows:

\(P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.025}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.04}{0.025})\)

                                       \(=P(-1.60<Z<1.60)\\=P(Z<1.60)-P(Z<-1.60)\\=0.94520-0.05480\\=0.8904\)

Thus, the probability that the sample proportion will be with 0.04 of the population proportion is 0.8904.

which equation for f (x) would result in f(3)=0?

Answers

Answer:

33

Step-by-step explanation:

Jackie likes coffee. She ________ about eight cups of coffee every day.

a-is drinking
b-drinks
c-is always drinking
d-drank

Answers

The answer would be B I think hope it helps

Given: Count = 23, what is the value of Count after the following statement is executed:
Count = Count + 2
A) 23
B) 25
C) 24
D) 48

Answers

The statement Count = Count + 2 assigns the value of the Count variable to itself, incremented by two. Therefore, the answer to the question is B) 25.

We are given the initial value of the Count as 23. The statement Count = Count + 2 assigns the value of the Count variable to itself, incremented by two.

This implies that the value of Count is 23+2= 25 after the statement is executed.

In other words, the right-hand side of the equals sign is evaluated before the value is assigned to the left-hand side of the equals sign.

In this case, the right-hand side is Count + 2, which is equal to 23+2= 25.

The value 25 is then assigned to the variable Count on the left-hand side of the equals sign.

As a result, the value of Count after executing the statement Count = Count + 2 is 25.

Thus, option B) 25 is the correct answer to the given question.

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What percent of 965 is
1932

Answers

Answer: It is 202.1 lol

The correct answer is 200.21%

What is the volume of the rectangular prism?

What is the volume of the rectangular prism?

Answers

Here’s the answer
If you add up al the numbers that would be your answer

Answer:

Solution given:

Volume of rectangular prism =l*b*h=4*8*3= 96 inches cube

uh i need help..........

uh i need help..........

Answers

Answer:

Fraction= 4 3/10  Decimal= 4.03

Step-by-step explanation:

Fraction:

The dot in on the 3rd line between 4 and 4.1, so the fraction has to be 3/10 because there are only 10 lines. We should express the answer as a mixed number because of the 4.

Decimal:

The dot in on the 3rd line between 4 and 4.1, so there has to be a zero as a place holder in the tenths place. Because it is on the 3rd line, Your answer is 4.03.

Please mark me Brailiest if this helps!

a bank wishes to estimate the mean credit card balance owed by its customers. the population standard deviation is estimated to be $300. if a 98% confidence interval is used and an margin of error of $89 is desired, how many customers should be sampled? group of answer choices 429 19 162 62

Answers

The bank should sample 429 customers.

To determine the number of customers that should be sampled, we need to use the formula for sample size calculation in estimating a population mean. The formula is given by:

n = (Z * σ / E)^2

Where:

n = sample size

Z =  corresponding to the desired level of confidence (98% confidence corresponds to a z-score of approximately 2.33)

σ = population standard deviation

E = desired margin of error

Plugging in the given values, we have:

n = (2.33 * 300 / 89)^2

n ≈ 429

Therefore, the bank should sample approximately 429 customers.

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solve 58÷4(6×9)+7(7×3)

Answers

Step:

58/4x54+7x21 =
783+7x21 =
783+147 =
930

Answer:

answers 930 ok I hope it help

why is it important to be able to calculate percentages?

Answers

Answer:

We use percentages to make calculations easier. It is much simpler to work with parts of 100 than thirds, twelfths and so on, especially because quite a lot of fractions do not have an exact (non-recurring) decimal equivalent.

Step-by-step explanation:

Evaluate (3.4 x 10^)(4.5 x 103). Write your
answer in scientific notation.

Answers

Answer:

153*10^3

Step-by-step explanation:

I assumed the first exponential number as 1

\(\huge\text{Hey there!}\)

\(\huge\boxed{\mathsf{(3.4 \times 10^4)(4.5 \times 10^3)}}\\\huge\boxed{\mathsf{\rightarrow 3.4\times10^4 \times 4.5 \times 10^3}}\)

\(\huge\boxed{\mathsf{10^4}}\\\huge\boxed{= 10\times10\times10\times10}\\\huge\boxed{= 100\times100}\\\huge\boxed{= 10,000}\\\\\\\huge\boxed{\mathsf{10^3}}\\\huge\boxed{=10\times10\times10}\\\huge\boxed{= 100\times10}\\\huge\boxed{= 1,000}\)

\(\huge\boxed{\rightarrow\mathsf{3.4\times \bold{10,000} \times 4.5 \times \bold{1,000}}}}\)

\(\huge\boxed{\mathsf{3.4\times10,000}}\\\huge\boxed{= 34,000}\\\\\\\huge\boxed{\mathsf{4.5\times1,000}}\\\huge\boxed{{= 4,500}}}\)

\(\huge\boxed{\mathsf{\rightarrow\bf 34,000\times4,500}}\\\huge\boxed{\rightarrow\mathsf{ORIGINAL \ ANSWER: \frak {153,000,000}}}}\)

\(\huge\boxed{\textsf{Your answer: }\mathsf{153\times10^6}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\huge\boxed{\frak{Amphitrite1040:)}}\)

a researcher asked a simple random sample of home-schooled children, a simple random sample of children who attend private school, and a simple random sample of children who attend public school their opinion on the new town curfew.

Answers

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

That's an interesting research approach!  By gathering opinions from different groups of children, specifically home-schooled, private school attendees, and public school attendees, the researcher can gain insights into how various educational backgrounds might influence their opinions on the new town curfew.

Collecting a simple random sample from each group ensures that every child within the respective groups has an equal chance of being selected for the survey. This helps in minimizing bias and increasing the generalizability of the findings to the larger population of home-schooled, private school, and public school children.

Once the samples are obtained, the researcher can administer a survey or questionnaire to collect the children's opinions on the new town curfew. The survey may include questions related to their awareness of the curfew, their understanding of its purpose, and their personal opinions on whether they support or oppose it.

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

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take all coins that are still on tails and keep flipping them until they land on heads. what is the expected number of total flips until all coins are on heads?

Answers

The probability that all coins show heads up is 1/16.

How to calculate the probability

The probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.

Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.

Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.

And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.

You can simplify this by calculating (1/2)^4.

= 1/16

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Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?

2. Find the derivative of \( y=3 x^{2}+5 x-2 \) from first principles.

Answers

The derivative of the function f(x) = 3x² + 2x - 5 from the first principle is f'(x) = 6x + 2.

To find the derivative of the function f(x) = 3x² + 2x - 5 using the first principle, we can proceed as follows:

Let h be a small increment in the x-coordinate. Then, we can evaluate the difference quotient:

f'(x) = lim(h→0) [f(x + h) - f(x)] / h

Substituting the function f(x) = 3x² + 2x - 5 into the difference quotient, we get:

f'(x) = lim(h→0) [(3(x + h)² + 2(x + h) - 5) - (3x² + 2x - 5)] / h

Expanding and simplifying the equation:

f'(x) = lim(h→0) [(3(x² + 2xh + h²) + 2(x + h) - 5) - (3x² + 2x - 5)] / h

Next, distribute and combine like terms:

f'(x) = lim(h→0) [(3x² + 6xh + 3h² + 2x + 2h - 5) - (3x² + 2x - 5)] / h

Simplify further by canceling out the common terms:

f'(x) = lim(h→0) [6xh + 3h² + 2h] / h

Now, factor out an h from the numerator:

f'(x) = lim(h→0) h(6x + 3h + 2) / h

Cancel out the h in the numerator and denominator:

f'(x) = lim(h→0) 6x + 3h + 2

Finally, take the limit as h approaches 0:

f'(x) = 6x + 2

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the complete question is:

Find the derivative of the function f(x) = 3x² + 2x - 5 using the first principle

Does anyone have the end of semester test for Plato course geometry semester b v5.0

Answers

The reqired equation will be  :|C-78|=2.5 which we use to find the minimum or maximum amount

we have to determine the equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out.

From the question statement, we can easily the information that

Sam tends to use an industrial kitchen to bake several batches of his famous chocolate chip bars.

Also, it is mentioned that he needs to weigh out 78 ounces of chocolate chips, plus or minus 2.5 ounces.

The equation is |C-78|=2.5

Hene, the required equation will be  :|C-78|=2.5

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someone help this is due soon!!

someone help this is due soon!!

Answers

Answer:

m∠E = 113

Step-by-step explanation:

Given that ΔDEF ≅ ΔPQR

We know that the following angles are congruent

∠D ≅ ∠P

∠E ≅ ∠Q

∠F ≅ ∠R

Now how do we know how these angles are congruent?

Well because if a triangle statement is given and the two triangles are congruent we can infer that the angles (in order) are congruent

Meaning: because D and P are the first letters of each triangle in the statement they have congruent angles if that makes sense.

So we are also given that

∠R = 13 and ∠D = 54

and we need to find ∠E

Remember like stated previously ∠R ≅ ∠F so ∠F = 13°

Now that we have found two angles in the triangle ΔDEF we can find the missing angle (∠E)

Using the triangle angle rule (the angles in a triangle add up to equal 180)

so ∠E = 180 - ∠D - ∠F

now we plug in the given information

∠E = 180 - 54 - 13

180 - 54 = 126

126 - 13 = 113

so ∠E = 113

an unbiased coin is tossed four times. what is the probability that coin lands heads up at least once? (round your answer to three decimal places.)

Answers

The probability of getting at least one head is 15/16.

What is probability?

The ratio of positive outcomes to all possible outcomes of an event is known as the probability.

Formula for probability = favourable outcomes/ total outcomes

Main body:

if 4 coins are tossed , total no. of outcomes = 2⁴ = 16

In a toss there are 2 outcomes T or H

so, Probability of getting Head = 1/2

The probability of getting at least 1 head = 1- probability of getting no heads

⇒1 - Probability of getting tail in 4 tosses

⇒ 1 - (1/2)⁴

⇒ 1 - 1/16

⇒ 15/16

So the probability of getting at least one head is 15/16.

to learn more about probability click on the link below.

https://brainly.com/question/24756209

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6m+27=8.25m
m=?
HELPPP

Answers

Answer:

12

Step-by-step explanation:

This is correct. Trust me.

I'm glad I could help:)

6m+27=8.25m

You have to subtract 6m on both sides first.

6m+27=8.25m

-6m       -6m

27=2.25m

Now we divide 2.25 from both sides.

27=2.25m

/2.25 /2.25

12=m

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hope it helps

Help me pls????????????????????????????????????????????????/

Help me pls????????????????????????????????????????????????/

Answers

Answer: $8 for each person

Step-by-step explanation: If we divide the $32 by how many people there are(4) we get 8. We can check if this answer is correct by doing the opposite of division, multiplication. So 4 x 8 = 32. Hope this helps! :)

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