the top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. if the area of printed material on the poster is fixed at 1536 cm2, find the dimensions of the poster with the smallest area. width 1 48 correct: your answer is correct. cm height

Answer:

2

Step-by-step explanation:

A Histogram would be the best for the data representation of the girls by dietitian.

Histogram, it is an approximate representation of the distribution of numerical data. The most popular graph for showing frequency distributions is a histogram. Though it also closely resembles a bar chart, there are significant differences. One of the seven basic quality tools is this useful gathering and analyzing information tool.

Variable = the height of 13-year-olds in the state of Texas.

Where the height of each bar represents the frequency of observations.

\(\sf (2-2.5) \ feet\)

\(\sf (2.6-3) \ feet\)

\(\sf (3.1-3.5) \ feet\)

\(\sf (4.1-4.5) \ feet\)

So, The best graphical representation of the dietitian's data would be a histogram.

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Answer:

Use Plumber B since he charges $215, $10 less than Plumber A.

Step-by-step explanation:

Let y = total cost, and x = number of hours.

Plumber A:

y = 50x + 25

For a 4-hour call, x = 4.

y = 50(4) + 25

y = 200 + 25

y = 225

Plumber A charges $225 for a 4-hour call.

Plumber B:

y = 35x + 45

For a 4-hour call, x = 4.

y = 45(4) + 35

y = 180 + 35

y = 215

Plumber B charges $215 for a 4-hour call.

Answer: Use Plumber B since he charges $215, $10 less than Plumber A.

For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.

Given solution to t²y'' - 4ty' + 6y = 0 is

y₁(t) = t²

Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,

y₂ = vt²

y₂' = 2vt + t²v'

y₂'' = 2v + 2tv' + 2tv' + t²v''

y₂'' = 2v + 4tv' + t²v''

Substituting this

t²×( 2v + 4tv' + t²v'') - 4t×(2vt + t²v') + 6×(vt²) = 0

t⁴v'' = 0

v'' = 0

v' = c, c is a constant

v = ct

Therefore, y₂(t) = ct×t²

y₂ (t) = ct³

Therefore general solution will be y(t) = c₁t² + c₂t³

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The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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Answer:x − x^{2} − 1.

Step-by-step explanation:

.

Answer:

\( {12}^{2} - {10}^{2} = 44 \\ \sqrt{44} = 2 \sqrt{11} \)

If you have problems in mathematics you can text me if you want

Answer:

1/2

Step-by-step explanation:

When you roll a 6-sided die, there are 6 possible outcomes:

1, 2, 3, 4, 5, 6

3 of the outcomes are even, and 3 of the outcomes are odd.

p(A) = p(even) = 3/6 = 1/2

p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2

Answer:

it 10 did the exam review

Step-by-step explanation:

Answer:

i am 100% sure the answer is 10

Step-by-step explanation:

Answer:

282 hours

Jxbskdjjddjjejdjejjd :D

Answer:

The opposite of -3/5 is 3/5 because the opposite of negative is a positive. The absolute value of -3/5 is 3/5 because the absolute value of any number is always positive.

a.) 3/5

b.) 3/5

Hope that Helps! :D

The one-sample Z test is used when we want to know whether our sample comes from a particular population. The name of the one-sample Z test tells us the general research design of studies in which this statistic is selected to test hypotheses.

For instance, we are doing research on data collected from successive cohorts of students taking the Elementary Statistics class. We may want to know if this particular sample of college students is similar to or different from college students in general. The one-sample Z test is used only for tests of the sample mean. Thus, our hypothesis tests whether the average of our sample (M) suggests that our students come from a population with a know mean (m) or whether it comes from a different population.

The statistical hypotheses for one-sample Z tests take one of the following forms, depending on whether your research hypothesis is directional or nondirectional. In the equations below m1 refers to the population from which the study sample was drawn; m is replaced by the actual value of the population mean.

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Answer:

x = 44

Step-by-step explanation:

\(3x-6+x+2=180\\4x-4=180\\4x=176\\x=44\)

Answer:

∠PQR=132°

Step-by-step explanation:

(3x-6) + (x+2) = 180

3x-6+x+2 = 180

4x-4 = 180

4x = 184

x = 46

∠PQR=3(46)-6

∠PQR=138-6

∠PQR=132

Answer: b=2a/h-a

Step-by-step explanation:

Answer:

The comparison that is not correct is:

C. -8 > -6

This is not correct because -8 is actually less than -6. Therefore, the correct comparison would be -8 < -6.

The other comparisons are correct:

A. 1 > -9 (true, because 1 is greater than -9)

B. 3 < 6 (true, because 3 is less than 6)

D. -3 < 4 (true, because -3 is less than 4)

Answer:

I'm pretty sure its a bridge, hopefully that's right <3

Step-by-step explanation:

To find the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x, we need to substitute the given values of the variables into the expression and then simplify.

Here is the step-by-step explanation:

1. Substitute the given values of the variables into the expression:
(2)²(3+4)-(1)²(1/2+2/3)+2(0)

2. Simplify the expression by following the order of operations:
(4)(7)-(1)(7/6)+0

3. Simplify further:
28-7/6

4. Find a common denominator and combine the terms:
168/6-7/6

5. Simplify the expression to get the final numerical value:
161/6

Therefore, the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

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The numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

To find the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x, we need to substitute the given values of the variables into the expression and then simplify.

Here are the steps to do this:

1. Substitute the given values of the variables into the expression:
(2)²(3+4)-(1)²(1/2+2/3)+2(0)

2. Simplify the expression inside the parentheses:
(2)²(7)-(1)²(7/6)+0

3. Simplify the exponents:
4(7)-1(7/6)+0

4. Multiply the numbers:
28-7/6+0

5. Simplify the expression by finding a common denominator and combining the terms:
28-7/6 = 168/6-7/6 = 161/6

So the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

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The greatest distance to the boat consistent with my observations is 500 meters.

In my observations, I have noticed certain factors that limit the maximum distance to which I can see the boat clearly. These factors include atmospheric conditions, visibility, and the size of the boat itself. Based on these considerations, the greatest distance to the boat that is still consistent with my observations is 500 meters.

Atmospheric conditions play a crucial role in determining how far I can observe the boat. Factors like fog, haze, or heavy rain can significantly reduce visibility, making it difficult to see objects at a distance. Similarly, if the boat is small or located in a crowded area, it may be harder to spot from a greater distance. Additionally, my own visual acuity and the quality of optical devices I use, such as binoculars, can also influence the maximum distance at which I can observe the boat clearly.

Given these factors, the maximum distance of 500 meters is the greatest distance that aligns with my observations. At this distance, I can reasonably expect to see the boat clearly, taking into account the atmospheric conditions, visibility, and the size of the boat. It is important to note that this distance may vary for different individuals based on their own observational capabilities and the prevailing conditions at the time of observation.

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Answer:

square root sign should be here(x^2-13)

Step-by-step explanation:

Answer:

86.8

Step-by-step explanation:

100+100+56+88+90

divide the answer by 5

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: (

100+100=200

200+56=256

256+88=342

342+90=432

432/5= 86.4

Answer:

-6

Step-by-step explanation:

(g o f)(9) is equivalent to g(f(9))

In this case, solve for f(9) where 9 replaces the x

-(9)+9

0

After that, you are now solving for g(0) because you are following PEMDAS

(0)^2+7(0)-6

-6

For the triangle, we can use the Law of Sines, which states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles of a triangle.

The correct option (d): a ≈ 14.9, C ≈ 24.1, B ≈ 104.9.

We have,

A = 51° (angle opposite side a)

b = 14

c = 6

Using the Law of Sines, we have:

a/sin(A) = b/sin(B) = c/sin(C)

Substituting the given values, we get:

a/sin(51°) = 14/sin(B) = 6/sin(C)

To find angle B, we can use the equation:

sin(B) = (b * sin(A))/a

sin(B) = (14 * sin(51°))/a

Now, let's calculate the values using the options:

a) No triangles possible: This option can be eliminated since the given side lengths satisfy the triangle inequality.

b) a ≈ 14.9, C ≈ 28.1, B ≈ 100.9:

Using the equation sin(B) = (14 * sin(51°))/a, we find sin(B) ≈ (14 * sin(51°))/14.9 ≈ 0.725.

Taking the arcsin of 0.725, we find B ≈ 46.3°.

c) a ≈ 11.2, C ≈ 24.1, B ≈ 104.9:

Using the equation sin(B) = (14 * sin(51°))/a, we find sin(B) ≈ (14 * sin(51°))/11.2 ≈ 1.022.

Since the sine value cannot exceed 1, this option can be eliminated.

d) a ≈ 14.9, C ≈ 24.1, B ≈ 104.9:

Using the equation sin(B) = (14 * sin(51°))/a, we find sin(B) ≈ (14 * sin(51°))/14.9 ≈ 0.725.

Taking the arcsin of 0.725, we find B ≈ 46.3°.

Therefore, the correct answer is option (d): a ≈ 14.9, C ≈ 24.1, B ≈ 104.9.

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Answer:

Jimena tiene 8 años de edad.

Step-by-step explanation:

Sean \(x\), \(y\), \(z\) las edades de Jimena, su padre y su madre. A continuación, traducimos cada oración relevante del enunciado a expresiones matemáticas:

(i) Si su papá tiene 27 años más que Jimena:

\(y = x+27\) (1)

(ii) Su mamá tiene 34 años:

\(z = 34\) (2)

(iii) La suma de las tres edades es igual a la diferencia de 10 veces la edad de Jimena, menos 3 años:

\(x+y+z = 10\cdot x-3\) (3)

Al aplicar (1) y (2) en (3), tenemos la siguiente ecuación resultante:

\(x +(x+27)+34 = 10\cdot x-3\)

\(2\cdot x +61=10\cdot x-3\)

\(8\cdot x = 64\)

\(x = 8\)

Jimena tiene 8 años de edad.

The probability that x = 2 is approximately 0.1465, the probability that x ≤ 2 is approximately 0.2381, and the probability that x > 2 is approximately 0.7619, in a Poisson distribution with μ = 4.

a) The probability that x = 2 in a Poisson distribution with μ = 4 is given by the probability mass function:

\(P(x=2) = (e^-4)(4^2)/2! ≈ 0.1465\)

b) The probability that x ≤ 2 in a Poisson distribution with μ = 4 is given by the cumulative distribution function:

P(x ≤ 2) = P(x=0) + P(x=1) + P(x=2)

\(= (e^-4)(4^0)/0! + (e^-4)(4^1)/1! + (e^-4)(4^2)/2!\)

≈ 0.2381

c) The probability that x > 2 in a Poisson distribution with μ = 4 is given by subtracting the probability of x ≤ 2 from 1:

P(x > 2) = 1 - P(x ≤ 2)

= 1 - 0.2381

≈ 0.7619

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Answer:

There are 16 no-bake cookies.

Step-by-step explanation:

1 : 1 : 3

x : x : 48

x = 48 / 3

x = 16

Answer:

16

Step-by-step explanation:

48 divided by 3 is 16

i got the three from the ratio

If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:

\(\boxed{8-2=6}\\\boxed{6/2=3}\)

We are going to take that 25% and multiply it with 3 to get are final answer.

\(\boxed{25*3=75}\\\boxed{So,2=75}\)

Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

Answer:

6 is a answer

Step-by-step explanation:

if it is x 3+3 is equal to 6

if it is 10+10 is equal to 20