help plssss
Optimize the equation P = 3x + y using the constraints
x ≥ 0, x ≤ 4, y ≥-1 and y ≤ 5.
What is the maximum?

Answer:

In quadrant III, the x-coordinate of a point is negative and the y-coordinate of a point is also negative. Therefore, the signs of the trigonometric ratios are as follows:

- Sine: negative (y-coordinate is negative)

- Cos

It's B.

You can think of the action of multiplying matrix A onto any other matrix X as

• preserving the first row of X due to the +1 in the first column of the first row,

• negating the second row of X due to the -1 in the second column of the second row, and

• preserving the third row of X due to the +1 in the third column of the third row.

Answer: B.

Step-by-step explanation: I got this right on Edmentum.

Answer: y=−6x

Step-by-step explanation: Add -2x to both sides.

\(\displaystyle \dfrac{\dfrac{4c^2-36}{8c^2-24c}}{\dfrac{12c+36}{2c^2 -6c}}\\\\\\=\left(\dfrac{4c^2 -36}{8c^2 -24c}\right) \cdot \left(\dfrac{2c^2 -6c}{12c+36}\right)\\\\\\=\left[\dfrac{4(c^2 -9)}{8(c^2-3)}\right]\cdot\left[\dfrac{2(c^2-3)}{12(c+3)}\right]\\\\\\=\dfrac{8(c^2-3^2)}{8 \cdot 12(c+3)}\\\\\\=\dfrac{(c+3)(c-3)}{12(c+3)}\\\\\\=\dfrac{c-3}{12}\)

\(\text{Hence the answer is d.}\)

Answer:

d

Step-by-step explanation:

separate the 2 divisions and simplify each , that is

\(\frac{4c^2-36}{8c^2-24c}\) ← factor numerator/ denominator

= \(\frac{4(c^2-9)}{8c(c-3)}\) ← factor difference of squares on numerator

= \(\frac{4(c-3)(c+3)}{8c(c-3)}\) ← cancel (c - 3) and 4/8 on numerator/ denominator

= \(\frac{c+3}{2c}\)

---------------------------------------------------

\(\frac{12c+36}{2c^2-6c}\) ← factor numerator/ denominator

= \(\frac{12(c+3)}{2c(c-3)}\) ← cancel 12 and 2 on numerator/ denominator

= \(\frac{6(c+3)}{c(c-3)}\)

----------------------------------------------------------

to divide the top fraction by the lower fraction

leave top fraction, change division to multiplication, turn lower fraction upside down.

\(\frac{c+3}{2c}\) × \(\frac{c(c-3)}{6(c+3)}\) ← cancel (c + 3) and c on numerator/ denominator

= \(\frac{c-3}{2(6)}\)

= \(\frac{c-3}{12}\) → d

The required condition for using an ANOVA (Analysis of Variance) procedure on data from several populations is that the sampled populations have equal variances. ANOVA is a statistical technique used to compare the means of three or more groups by analyzing the differences in variability within and between the groups.

b, also known as homoscedasticity, is a crucial assumption in ANOVA as it ensures that the test results are valid and reliable. If the variances are not equal, it can lead to incorrect conclusions due to a violation of this assumption. In such cases, alternative statistical tests, like Welch's ANOVA or a non-parametric test such as the Kruskal-Wallis test, can be used to compare the means of different groups.

To summarize, for a valid ANOVA procedure, the sampled populations must have equal variances. This condition helps in producing accurate and reliable test results when comparing the means of multiple groups.

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Answer:

1. T

2. T

3. T

4. F

Step-by-step explanation:

1. The tempature must be 0 degrees celcus or 32 degrees fahrenheit or below to snow.

2. An acute angle is less than 90 degrees

3. Supplementary angles are 2 angles that add up to 180.

4. Complementary angles are any 2 angles that add up to 90 degrees BUT they do not have to be only 45 degrees and can be any 2 degrees that add up to 90.

The company's profits on June 1, 2002 is $4500 and the company's profits many years into the future is $1000 per month.

The equation f(t) = (t^2 + 9) / (t^2+2) provides the monthly profits, in thousands of dollar, where t refers to months after June 1, 2002.

The company’s profit on June 1, 2002 using the equation is when t = 0 months

f(0) = (0^2 + 9) / (0^2+2) = 9/2 = 4.5 or $4500.

The company’s profit on many years into the future using the equation is given by:

Limit(t→∞)((t^2+9)/(t^2+2))= Limit(t→∞)(2t/2t)=1

Hence the monthly profit is $1,000.

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Answer:

11.21157846 =x

Step-by-step explanation:

We know log b (a) = c  can be written as b^c =a

log 3 (x) = 2.2

3^2.2 = x

11.21157846 =x

Answer:

\(\large \boxed{\sf \bold{A.} \ x=11.21}\)

Step-by-step explanation:

\(\large \sf log_3 (x)=2.2\)

Solve this by converting the logarithmic statement into its equivalent exponential form, using the relationship:

\(\large \sf log_b(y)=x\)

\(\large{\sf y=b^x}\)

Apply the relationship.

\(\large \sf log_3 (x)=2.2\)

\(\large \sf x=3^{2.2}\)

\(\large \sf x=11.21157845...\)

\(\large \sf x \approx 11.21\)

Answer :

Properties of parallelogram :

As per question AB and CD are opposite sides.

Since AB and CD are equal sides So, BC and AD must be equal.

AD = BC

\(\sf 3x - 2 = x + 8\)

\(\sf 3x - x = 8 + 2 \)

\(\sf 2x = 10 \)

\(\sf x = \dfrac{10}{2}\)

\({\boxed{\sf {x = 5 }}}\)

BC = x + 8 = 5 + 8 = 13

AD = 3x -2 = 3(5)- 2 = 15 - 2 = 13

In conclude we get BC and AD are equal sides.

Therefore for x = 5 the given quadrilateral ABCD is a parallelogram.

Hello !

A parallelogram has its opposite sides equal.

So BC must be equal to AD (AB and CD are already equal)

\(x + 8 = 3x - 2\\\\8 + 2 = 3x - x\\\\10 = 2x\\\\x = 10/2\\\\\boxed{x = 5}\)

If x = 5, the quadrilateral ABCD is a parallelogram.

A symmetrical distribution of exam scores in a college course indicates that the student's scores are evenly distributed across the entire range of scores. This suggests that about an equal number of students had relatively high and relatively low scores.

Correct answer will be b) About an equal number of students had relatively high and relatively low scores.

And that there is no single group that overwhelmingly outperformed or underperformed the others. Furthermore, it indicates that there were a substantial number of students who achieved high scores, as well as a substantial number who achieved low scores.

This type of even distribution of scores is often seen when students are equally prepared, and when the exam is designed to be neither too difficult nor too simple.

In conclusion, a symmetrical distribution of exam scores suggests that the students were similarly prepared and that the exam was appropriately challenging.

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Answer:

If you are just combining like terms then the answer is just 4x + 2y

Hope this helps :)

a^4+b^4=(a^2)^2+(b^2)^2

=(a^2+b^2)^2–2a^2b^2

=(a^2+b^2)^2—(√ 2ab)^2

=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)

Must click thanks and mark brainliest

a) Confidence Interval = (X₁ - X₂) ± t x √[(s1² / n1) + (s2² / n2)]

b) The sample sizes are large enough (typically considered to be at least 30) or the populations are normally distributed.

c) C.I. = -11854.4100434 and -44145.5899566

a) The formula that should be used to compute the interval for the difference between the average salaries of male and female neurologists is:

Confidence Interval = (X₁ - X₂) ± t x √[(s1² / n1) + (s2² / n2)]

where:

X₁ and X₂ are the sample means of the salaries for female and male neurologists, respectively.

s1 and s2 are the sample standard deviations of the salaries for female and male neurologists, respectively.

n1 and n2 are the sample sizes for female and male neurologists, respectively.

t is the critical value from the t-distribution based on the desired confidence level and the degrees of freedom.

b) The assumptions that need to be met in order to use the above formula are:

The samples are simple random samples from their respective populations.

The populations from which the samples are drawn are approximately normally distributed.

The standard deviations of the populations are unknown.

The sample sizes are large enough (typically considered to be at least 30) or the populations are normally distributed.

c) To compute the interval, we need to calculate the critical value (t) based on the desired confidence level and the degrees of freedom, which is the sum of the sample sizes minus 2 (n1 + n2 - 2).

Given that we want a 99% confidence interval, the corresponding significance level (α) is 0.01. Degrees of freedom = n1 + n2 - 2 = 18 + 21 - 2 = 37.

Using a t-table or a statistical software, the critical value for a 99% confidence level with 37 degrees of freedom is approximately 2.708.

Plugging in the values into the formula:

Confidence Interval = ($175,000 - $203,000) ± 2.708 x √[($15,000² / 18) + ($22,000² / 21)]

= -28000 ± 16145.5899566

= -28000 + 16145.5899566 and -28000 - 16145.5899566

= -11854.4100434 and -44145.5899566

d) Assuming that both populations are normally distributed and that the two population variances are unequal, the formula used to compute the interval is the one described in part (a):

Confidence Interval = (X₁ - X₂) ± t x √[(s1² / n1) + (s2² / n2)]

This formula takes into account the sample means, sample standard deviations, and sample sizes for both groups.

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Damien has more than enough juice to fulfill his requirement of 5 pints. The statement that is true is that Damien has bought more than the required amount of juice in pints.

If Damien needs to find 5 pints of juice, he can buy 3 quarts of juice. One quart contains 2 pints, so 3 quarts would contain 6 pints.  He has bought a total of 6 pints, which is 1 pint more than what he needed.

This means that Damien can use the extra pint of juice for other purposes or store it for later use. It is important to note that when converting measurements,

it is crucial to understand the equivalent values to avoid over or underbuying. In this case, knowing that 1 quart contains 2 pints helped Damien make an informed decision while shopping.

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The equation of a circle with center (a, b) and radius r is:

(x - a)^2 + (y - b)^2 = r^2

(x, y) represents any point on the circle

A circle is described as a shape consisting of all points in a plane that are at a given distance from a given point, the center.

The properties of the circle are as follows:

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Answer:

384

Step-by-step explanation:

96+160+128=384

The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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There can be several possibilities and causes

y>2x-1

y<2x-1

y≤2x-1

y≥2x-1

y=2x-1

Credit: Mister Brainly

There can be several possibilities and causes:

y>2x-1

Then line will be dashed and solution region to be shaded.

y<2x-1

Same like before

y≤2x-1

Solid line should be done and shading the solution region

y≥2x-1

Same like before

y=2x-1

A straight line and no shading

Answer:

The second one. The -2y should have been +2y

Step-by-step explanation:

a negative multiplied by a negative gives you a positive

Answer:

it should be the second answer

Step-by-step explanation:

hope this helps

The amount spent is an illustration of subtraction and proportions

The amount left in his earnings is $414.25

The given parameters are:

Rate = $22 per hour

Time = 40 hours

So, the total earnings is:

Total = $22 * 40

Evaluate

Total = $880

He spent half on bills.

So, we have:

Bills = 0.5 * $880

Bills = $440

He buys a video game for $25.75

So, the amount left is

Amount left = $880 - $440 - $25.75

Amount left = $414.25

Hence, the amount left in his earnings is $414.25

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Answer:

Yes

Step-by-step explanation:

The only reason a graph will not be a function is if it doesn't pass the vertical line test. In other words, if you draw a vertical line at any point, it will never pass through more than 1 point.

In that case, that is true, so it must be a function.

is this somthing that your looking for?

The total cost of each utility eliminating 450 tons of pollution is $180,000.

To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.

For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.

For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.

Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.

The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.

In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.

Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.

This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.

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Answer:

if I'm correct it would be 200

Step-by-step explanation:

0.20 x 200 = 40

Answer:

Step-by-step explanation:

20% off means the 20% was taken away from the original price which will have us remaining with 80%

80% = 40

100% (original price) = 100% x 40

                                           80%

=$ 50.00

Ignore this I deleted my answer cause I missread the question...

the height of the prism is 12 centimeters

Answer: rotate 180 degrees and reflection across the line y=2

Step-by-step explan

Answer:

Step-by-step explanation: