Which is equivalent to -9.4c + 6 + c – 5.9?
A. -8.4c – 0.1
B. -8.4c + 0.1
C. 10.4c + 0.1
D. -10.4c + 0.1

When you add -1/4 to itself four times, you get: -1
When you multiply -1/4 by 4, you also get: -1.
Yes, both the results are same which is: -1.

To answer your question, let's break it down into two parts:

1. What do you get if you add -1/4 to itself four times?
To find the answer, you simply add -1/4 four times:
(-1/4) + (-1/4) + (-1/4) + (-1/4) = -1

2. What is -1/4 × 4?
To multiply -1/4 by 4, you perform the multiplication:
(-1/4) × 4 = -1

In conclusion, when you add -1/4 to itself four times, you get -1, and when you multiply -1/4 by 4, you also get -1.

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Answer:

295

Step-by-step explanation:

360-65=295

circle=360 degrees

Answer:

The answer to your question is 5.

Step-by-step explanation:

One liter of the lotion contains 23 milligrams of the active ingredient.

If the active ingredient in a lotion uses the Strength 23 ppm (parts per million)

Definition of PPM ?

The best approach to describe the degree of performance or chemical concentration in a larger combination is in parts per million, or PPM. This could be used to describe the components of water, the faulty rate of a provider, etc. Being a ratio of two quantities of the same unit, it is theoretically a dimensionless measure that is represented as a percentage and is better suited to representing lesser concentrations of chemicals in gases, liquids, or solids. In its entire form, one part per million (ppm) is written as equation ppm=1/1,000,000=0.0001 /eq% of the whole.

1gm = 1000 mg

1 litre = 1000 ml

So that

1 ppm = 1 mg per liter

1 ppm = 0.998

23 ppm = 23 x 0.998

23 ppm = 22.958 mg / L

It is approximately equal to 23 mg / L

Round off to the nearest whole no 23 p pm = 23 mg / L

Therefore, 23 mg of active ingredient are in 1 liter of the lotion

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The joint PDF of X and Y is fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.

The joint probability density function (PDF) of X and Y can be obtained by multiplying the individual PDFs of X and Y, as they are independent random variables.

Given:

X ~ Exponential(λ), with mean 1 (λ = 1)

Y ~ Uniform(0, X), for 0 < y < x

To find the joint PDF, we first need to express the PDFs of X and Y.

PDF of X:

fX(x) = λ * exp(-λx) for x > 0 (Exponential distribution with parameter λ)

PDF of Y:

fY(y|x) = 1 / x for 0 < y < x (Uniform distribution on interval [0, x])

Now, we can find the joint PDF by multiplying these individual PDFs:

fx.x (x, y) = fX(x) * fY(y|x)

Substituting the PDFs:

fx.x (x, y) = (λ * exp(-λx)) * (1 / x)

fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x

Therefore, the fully specified joint PDF of X and Y is:

fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.

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Answer:

reduction, scale factor of 1/2

Step-by-step explanation:

because the rectangle is getting smaller, it is a reduction. the length got shorter by 1/2 (2.5/5) so the scale factor is 1/2

Answer:

here is your answer

Answer:hey guys just saying its 1/52

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

If Candice is travelling at 25 miles per hour, then in 4 hours she would have traveled = 25,miles * 4 = 100 miles.

Liz is traveling at 50 miles per hour so she would reach 100 miles in 2 hours.

Since Candice is driving with a speed of 25 miles per hour so distance covered in (t + 4) hours = 25(t + 4) miles

t+4 because Liz started driving 4 hours after Candice started.

Distances covered by Candice and her sister Liz will be same when Liz Catches up Candice.

Therefore, 50t = 25(t + 4)

50t = 25t + 100

50t - 25t = 100

25t = 100

Divide both sides by 25

t = 4 hrs

After 4 hours Liz will catch up Candice.

By evaluating the equation step by step, we can find the value remaining in Erik's account after 7 visits.

Let's denote the value remaining in Erik's account after x visits to the club as V(x). Initially, Erik pays $225 in advance, so we can start with V(0) = $225.

After each visit, $9 is deducted from his account. Therefore, for each visit, the value remaining in his account is reduced by $9. We can express this relationship as:

V(x) = V(x-1) - $9

This equation states that the value remaining in Erik's account after x visits is equal to the value remaining after x-1 visits, minus $9.

To find the value remaining in the account after 7 visits, we can substitute x = 7 into the equation:

V(7) = V(7-1) - $9

V(7) = V(6) - $9

V(7) = (V(5) - $9) - $9

V(7) = V(5) - $18

...

Continue this pattern until we reach V(0), which is $225.

By evaluating the equation step by step, we can find the value remaining in Erik's account after 7 visits.

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The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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The point where the tangent plane to the surface is horizontal will be (1.0899, 1.6595).

To determine the partial derivatives of the function f(x, y) with respect to x and y:

\(fx = 2xy^3 - 4y - 1\\fy = 2x^3y - 4x\)

Now, we can find the gradient of f:

\(grad(f) = < fx, fy > = < 2xy^3 - 4y - 1, 2x^3y - 4x >\)

To determine the point where the tangent plane to the surface is horizontal, the critical points of f where grad(f) = 0:

\(2xy^3 - 4y - 1 = 0\\2x^3y - 4x = 0\)

From the second equation,

\(2x(x^2y - 2) = 0\)

Therefore, either x = 0 or x^2y - 2 = 0 Substituting this into the first equation, we get:

\(2x(2/x^6) - 4(2/x^2) - 1 = 0\\4/x^5 - 8/x - 1 = 0\)

Therefore, the point where the tangent plane to the surface is horizontal  x ≈ 1.0899 and y ≈ 1.6595.

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Answer:

I think the answer is A if my math is wriye

Step-by-step explanation:

Hi, there!

 ________

\(\textsc{key:}\)

. . . . . . . . . . . . .

The formula is

\(\longrightarrow\Large\boxed{A=\dfrac{r^2\theta}{2}}\)

. . . . . . . . . . . . . . .

Here

» A=Sector Area, or arc length

» r is the radius (it's squared‼)

» θ is the angle

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Now, we can substitute our parameters, and work out the answer.

\(\bf{A}\sf{=\dfrac{12^2\times65}{2}}\)

\(\bf{A}\sf{=\dfrac{144\times65}{2}}\)

\(\bf{A}=\sf{\dfrac{9360}{2}\)

\(\bf{A}=\sf{4,680 \ centimeters^2}\)

Hope the answer - and explanation - made sense,

happy studying!!                                                                     \(\tiny \boldsymbol{Frozen \ melody}\)

Answer:

Solving steps:

Question:5 boys and 4 girls are randomly arranged to sit in a row. find the probability that all girls sit together.

Find:the probability that all girls sit together.

Solution: 5 boys and 4 girls, 9 kids in all, can be seated in a row in 9! ways. In order to find the number of ways, where the 4 girls are seated together, we place them in an imaginary group Z, so that they are not separated in the seating arrangements. Now we have 6 entities, namely 5 boys and one group of girls, and the number of ways of their seating is 6!. For each of these 6! ways, the 4 girls can be seated within the group Z in 4! ways. So the number of ways in which the 4 girls are seated together, is 6!/4!.

So the probability, as requested, is (6!4!)/9! = 24/(7x8x9) = 1/21

Answer:

35 average minutes at practice.

Step-by-step explanation:

Answer:

What do I find?

If it's the mean then the answer is 35.

Step-by-step explanation:

34, 30, 45, 30, 40, 38, 28 ==> 7 numbers

34+30+45+30+40+38+28=245

245/7=35

Answer:

The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:

f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4

f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6

The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.

To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."

Answer:

Step-by-step explanation:

Comment

This is an arithmetic series. It has the following givens.

a = 27     The first term

d = - 2       The difference between one term and the one behind it.

n = quite small

Tn = a + (n - 1)*d

tn = 27 - 2n  + 2

tn = 29 - 2n

Decrease in value = $21150

Current house value = $213850

What is Depreciation?

Depreciation is accounting method used to allocate the cost of a tangible or physical asset over its useful life.

To calculate the decrease in value,

i.e 9% of $235000 = $21150

So, to calculate the current house value

i.e $235000 - $21500

= $213850

Therefore, the current house price is $213850 and it decreases in $21500

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A critical value, z subscript alpha (zα), denotes the boundary or cutoff point for a statistical test where the level of significance, also known as alpha (α), is set.

A critical value, z subscript alpha (zα), denotes the value at which the probability of observing a test statistic in the tail(s) of the sampling distribution equals the pre-determined significance level (alpha).

The critical value can be defined as the value that is compared with the parameter value in the hypothesis test to determine whether the null hypothesis will be rejected. If the value of the parameter is less than the critical value, the null hypothesis is rejected.

However, if the measured value is higher than the critical value, reject the null hypothesis and accept the alternative hypothesis. In other words, cropping divides the image into acceptable and unacceptable areas. If the value of the index falls within the rejection range, the rejection of the fact is rejected, otherwise the negative hypothesis is rejected.

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Answer:

Point B would be at 2.5

Step-by-step explanation:

The points have an 8 umber distance so numbers 2 and 3 are the middle numbers and the middle of those numbers would be 2.5.

Answer:

2.5

Step-by-step explanation: i did it on a test and got it right

Answers:

x = 8

y = 15*sqrt(2)

===========================================================

Explanation:

This is a 45-45-90 triangle. The right triangle is isosceles.

This means the two legs 3x-9 and x+7 are the same length

3x-9 = x+7

3x-x = 7+9

2x = 16

x = 16/2

x = 8

If x = 8, then each leg is...

3x-9 = 3(8)-9 = 24-9 = 15

x+7 = 8+7 = 15

Each leg is 15 units long to help confirm we have the correct x value.

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

The hypotenuse y is exactly sqrt(2) times that of the leg length.

Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.

15*sqrt(2) = 21.213 approximately

Yes, there is sufficient evidence at the 0.05 level to support the company's claim that less than 34% of computer chips fail in the first 1000 hours of their use.

To determine if there is sufficient evidence to support the claim, we can perform a hypothesis test. Let's set up the null and alternative hypotheses:

Null hypothesis (H0): The proportion of chips that fail in the first 1000 hours is equal to or greater than 34%.

Alternative hypothesis (Ha): The proportion of chips that fail in the first 1000 hours is less than 34%.

We can use the sample data to calculate the test statistic and compare it to the critical value at the 0.05 significance level.

Given that the sample of 1200 computer chips revealed that 31% of the chips failed, we can calculate the test statistic using the formula for the z-score:

z = (p - P) / √(P(1-P) / n)

Where p is the sample proportion, P is the hypothesized proportion, and n is the sample size.

In this case, p = 0.31, P = 0.34, and n = 1200. Plugging in these values, we can calculate the test statistic.

After calculating the test statistic, we compare it to the critical value from the standard normal distribution. At the 0.05 significance level, the critical value for a one-tailed test is approximately -1.645.

If the test statistic falls below the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to support the company's claim. Otherwise, if the test statistic is greater than the critical value, we fail to reject the null hypothesis.

Performing the calculations, we find that the test statistic is approximately -5.76, which is much lower than the critical value of -1.645. Therefore, we reject the null hypothesis and conclude that there is sufficient evidence to support the company's claim that less than 34% of computer chips fail in the first 1000 hours of their use.

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Yes, $9 for 4 visitors and $18 for 8 site visitors are proportional.

To determine whether or not $9 for 4 visitors and $18 for 8 visitors are proportional, we need to test if the ratio of the value to the number of visitors is the equal for both cases.

The ratio of cost to the quantity of visitors for $9 and four visitors is:

$9/4 visitors = $2.25/ visitors

The ratio of value to the quantity of visitors for $18 and eight visitors is:

$18/8 visitors = $2.25/ visitors

We are able to see that both ratios are equal to $2.25 per visitor.

Therefore, $9 for 4 visitors and $18 for 8 site visitors are proportional.

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The number of students take both AP European History and AP US History is 19 students

A Venn diagram is an illustration of the relationships between and among sets, groups of objects that share something in common.

Let the students take both AP European History and AP US History be x such that;

n(U) = 29 - x + 50 - x

If 60 high school seniors taking AP classes, then n(U) = 60. Substitute to have:

60 = 29 - x + x + 50 - x

60 = 79 - x

-x = 60 - 79

-x =-19

x = 19

Therefore the number of students take both AP European History and AP US History is 19 students

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The turkey farmer should guarantee a weight of approximately 4.57 pounds to have to give her customers' money back only 1% of the time.

To determine the weight that the turkey farmer should guarantee, we need to find the value that corresponds to the 1st percentile of the weight distribution. This value represents the weight below which only 1% of the poults' weights would fall.
To find the 1st percentile, we can use the z-score formula: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation. We want to find the value of x that corresponds to a z-score of -2.33, which corresponds to the 1st percentile in a standard normal distribution.
Rearranging the formula, we have x = z * σ + μ. Plugging in the values, we get x = -2.33 * 2.4 + 9.0 ≈ 4.57 pounds.
Therefore, the turkey farmer should guarantee a weight of approximately 4.57 pounds to have to give her customers' money back only 1% of the time. This ensures that the majority of the poults' weights will exceed the guaranteed weight, satisfying the money-back guarantee condition.

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The regression equation is: y = 13056.4 + 59.0496x₁ + 30.4849x₂ + 373.278x₃ + 0.985212x₄

The given data is related to the multiple linear regression. The multiple linear regression is the one where two or more independent variables are used for the prediction of the dependent variable.

In the given case, the dependent variable is electric power consumed each month by a chemical plant and the independent variables are the average ambient temperature (x₁), the number of days in the month (x2), the average product purity (x3), and the tons of product produced (x4).

We can use Excel to find the coefficients for the multiple linear regression. To get the coefficients in Excel, we can use the Regression function.

The coefficients will be as follows:

y = a + b1x1 + b2x2 + b3x3 + b4x4a = 13056.4

b1 = 59.0496

b2 = 30.4849

b3 = 373.278

b4 = 0.985212

y = dependent variable

a = constant

b1, b2, b3, b4 = coefficients

x1, x2, x3, x4 = independent variables

We can use the regression equation to predict the electric power consumed each month by a chemical plant using the values of independent variables given in the question. The regression equation is:

y = 13056.4 + 59.0496x₁ + 30.4849x₂ + 373.278x₃ + 0.985212x₄

Substituting the values of the independent variables given in the question into the regression equation, we can get the predicted value of the dependent variable.

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The value of x is 5.

Two angles that have the same vertex and a side in common.

Here, m∠2 = m∠6

       5x + 5 = 30

       5x = 25

        x = 25/5

       x = 5

Thus, The value of x is 5.

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Answer:

0.2

Step-by-step explanation:

For equation(3),

Standard form: 2x³ - 7x² - 3x - 1

Leading Coefficient: 2

Degree: 3

Name: Cubic polynomial

For equation (4)

Standard form: \(x^4-6x^2\)

Leading Coefficient: 1

Degree: 4

Name: quartic polynomial

For equation(5),

Standard form: 3x² - x - 8

Leading Coefficient: 3

Degree: 2

Name: Quadratic polynomial

For equation(6),

Standard form: 2

Leading Coefficient: 2

Degree: 0

Name: Constant polynomial

What is a polynomial?

In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

The degree is the highest degree of the polynomial

r equation(3),

Standard form: 2x³ - 7x² - 3x - 1

Leading Coefficient: 2

Degree: 3

Name: Cubic polynomial

For equation (4)

Standard form: \(x^4-6x^2\)

Leading Coefficient: 1

Degree: 4

Name: quartic polynomial

For equation(5),

Standard form: 3x² - x - 8

Leading Coefficient: 3

Degree: 2

Name: Quadratic polynomial

For equation(6),

Standard form: 2

Leading Coefficient: 2

Degree: 0

Name: Constant polynomial

Hence, we have filled in all the blank fields.

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