Solve equation.
4 x+7=-1

Answer:

A, C

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

the ∠A is adjacent (adj) to  AB and opposite (Opp) of BC and AB is the hypotenuse (Hyp) of the triangle

which one of the above trig functions fits that?

sin(Ф) = BC / AC   is sin(Ф)= Opp / Hyp , so choice A) works

cos(Ф) = BC / AC  is not cos(Ф) = Opp / Hyp  so choice B) does not work

cos(Ф) = BA / AC  is cos(Ф) = Adj / Hyp  so choice C)  works

AC / BC is just a ratio   it's not the angle , so D) doesn't work

Answer:

8 divided by 2

so NOW we do it the other way

2 divided by 8 = 0.25

Step-by-step explanation:

a = 8

b = 2

Answer:

it's 8 divided by 2? so 2 divided by 8 is .25

Step-by-step explanation:

The System Effectiveness is approximately 0.763.

To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.

System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability

Plugging in the given values:

System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99

System Effectiveness ≈ 0.763

Therefore, the System Effectiveness is approximately 0.763.

The correct answer is a. 0.763.

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Answer:

(-15) - (-18)

=> -15 + 18

=> 3

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Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

The solution to the compound inequality is x > -3. The correct option is the third option x > -3

From the question, we are to solve the given compound inequality

2x - 2 > -8 or -4x ≤ -36

Solving the first inequality

2x - 2 > -8

Add 2 to both sides of the inequality

2x -2 + 2 > -8 + 2

2x > -6

Divide both sides by 2

2x/2 > -6/2

x > -3

Solving the second inequality

-4x ≤ -36

Divide both sides of the inequality

-4x/-4 ≤ -36/-4

x ≥ 9

From the two solutions, we can conclude that x > -3

Hence, the solution is x > -3

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Therefore the percentage difference in profit realized will be 66.67 % .

Profit, is net income earned after subtracting all dollar costs from total revenue.

In effect, it shows the amount of money a firm has left over after deducting the explicit costs of running the business.

Suppose all the charges for making the shoes is x (other than the labour charge)

Labor charge in Asia is y

And as given in the question Labor Charge in United States is 5y

The final cost off the shoes is $65

Profit in asia = (65-x-y)

Profit in United States = (65-x-5y)

Let's use trial and error method to understand this

suppose the making cost is x = $10  and the labor charge in asia is $5 per shoes so

Profit in Asia = 65-10-5 = $50

Profit in United Stated = 65- 10-25 = $30

the percentage difference in profit realized

= (50-30) * 100 /30

= 2000/30 = 200/3 = 66.67%

Therefore the percentage difference in profit realized will be 66.67 % .

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Answer:

1) x = -10

2) x = 39

3) x = 11

Step-by-step explanation:

1) x + 3 = -7

=> x= -7-3

=> x= -10

2) 2/3x + 1 = 27

=> 2/3x = 27 - 1

=> 2x =26 * 3 (26 multiply by 3)

=> x = 78/2

=> x =39

3) 4x-7 = 2 (x+3) +9

=> 4x-7 = 2x+6+9

=> 4x-2x =7+6+9

=> 2x = 22

=> x =22/2

=> x = 11

The scale factor of the image under a dilation centered at the origin is 2.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right on the coordinate plane.

Let us assume that quadrilateral ABCD have vertices at A(2, 1) while its image has vertices at A'(4, 2), hence:

Scale factor = 4/2 = 2/1 = 2

The scale factor of the image under a dilation centered at the origin is 2.

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The potato is in the air for approx. 1.0625 seconds.

The actual cost of manufacturing 24 coffee makers is $1,755.67.

a. To find the time that a potato is in the air, use the quadratic equation formula where a=-16,

b=34, and

c=42. `

t = (-b ± sqrt(b²-4ac))/2a`.

Let's start by finding the discriminant first. `b²-4ac = (34)²-4(-16)(42)

= 1156`.

Substitute the values of a, b, and c into the quadratic formula.

t = (-34 ± sqrt(1156))/-32

= (-34 ± 34)/-32`.

There are two solutions to the quadratic equation. Thus, we need to check if there are any negative values for time.

t = (-34 + 34)/-32

= 0.

t = (-34 - 34)/-32

= 1.0625`.

Therefore, the potato is in the air for 1.0625 seconds.

b. To find the actual cost of manufacturing 24 coffee makers, substitute x=24 into the cost function

C(x) = 155 + 66x + x²/36`.

C(24) = 155 + 66(24) + 24²/36

= 155 + 1584 + 16.67`. `

C(24) = 1755.67`.

Therefore, the actual cost of manufacturing 24 coffee makers is $1,755.67.

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95% of the students have study hours between 10.75 and 13.25 hours and the percentage of the students have study hours that are above 12 is 92%.

Given average of 12 % studying required, population mean of 15 hours, standard deviation of 3 hours.

We have to find the confidence interval for 95% students and the percentage of the students that have studied above 12 hours.

Margin of error=z*σ\(\sqrt{n}\)

z value for the p value 0.95 is 1.96.

Margin of error=1.96*3/\(\sqrt{22}\)

=5.88/4.69

=1.25

Upper interval=Mean +margin of error

=12+1.25

=13.25

Lower interval=Mean- margin of error

=12-1.25

=10.75

The confidence interval (10.75,13.25).

Now we will calculate the percentage of the students that are above 12.

z value when X=12, z=12-15/15

=-3/15

=-0.2

p value of -0.2 will be =0.5+0.4207=0.9207

=0.9207*100

Percentage=92.07%

Approx=92%.

Hence the confidence interval is (10.75 , 13.25) and 92% students have studied above 12.

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Question is incomplete as it should include  sample size of 22.

Answer:

= x^12

Step-by-step explanation:

Answer:

The answer is x^12

Step-by-step explanation:

........

Answer: 8.20

Step-by-step explanation:

1kg = 1000g

take 650 divided by 1000 = 0.65kg

Then take 5.33 divided by 0.65 = 8.20

Probability of at least one six is 0.6651. Probability of at least two sixes is 0.6187. Probability of at least three sixes is 0.5973.

To estimate the probabilities of rolling at least a certain number of sixes, we can use the concept of complementary probabilities. The complementary probability of an event A is equal to 1 minus the probability of the event not occurring (denoted as A').

For a fair six-sided die, the probability of rolling a six in a single roll is 1/6. Therefore, the probability of not rolling a six in a single roll is 1 - 1/6 = 5/6.

Let's calculate the probabilities for each case:

At least one six when rolling 6 six-sided dice:

To calculate the probability of rolling at least one six, we need to calculate the complementary probability of not rolling any sixes in all six rolls.

Probability of not rolling a six in a single roll: 5/6

Probability of not rolling a six in all six rolls: \((5/6)^6\)

Now, the probability of rolling at least one six is the complementary probability:

Probability of at least one six = 1 - \((5/6)^6\)

At least two sixes when rolling 12 six-sided dice:

Similar to the previous case, we need to calculate the complementary probability of not rolling at least two sixes in all twelve rolls.

Probability of not rolling a six in a single roll: 5/6

Probability of not rolling at least two sixes in all twelve rolls:\((5/6)^{12\)

Probability of at least two sixes = 1 - \((5/6)^{12\)

At least three sixes when rolling 18 six-sided dice:

Again, we calculate the complementary probability of not rolling at least three sixes in all eighteen rolls.

Probability of not rolling a six in a single roll: 5/6

Probability of not rolling at least three sixes in all eighteen rolls: \((5/6)^{18\)

Probability of at least three sixes = 1 - \((5/6)^{18\)

The estimated probabilities are approximately:

Probability of at least one six when rolling 6 six-sided dice: 0.6651 or 66.51%

Probability of at least two sixes when rolling 12 six-sided dice: 0.6187 or 61.87%

Probability of at least three sixes when rolling 18 six-sided dice: 0.5973 or 59.73%

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Explanation

Step 1

divide both sides by square 14

then

I hope this helps you

Improved concentration is a result of educated efforts, leading to the discovery of inspiring words that satisfy the ache for growth and progress.

Concentration plays a crucial role in enhancing productivity and achieving success. When one's ability to concentrate improves, it becomes easier to focus on tasks at hand and delve deeper into the subject matter.

This improvement is not a mere coincidence but a result of deliberate and educated efforts. By employing various techniques such as time management, minimizing distractions, and practicing mindfulness, individuals can train their minds to concentrate better.

During the process of developing concentration skills, one may come across a variety of words that inspire and motivate. These words act as catalysts, triggering a desire for growth and progress. When exposed to meaningful and impactful words, individuals can feel a sense of inspiration that propels them forward.

These words have the power to ignite passion, instill determination, and awaken creativity. The discovery of such words acts as a driving force, reminding individuals of their goals and aspirations, and helping them stay focused on their journey of self-improvement.

As concentration improves and inspiring words are discovered, individuals experience a satisfying sense of accomplishment. The ache for personal and professional growth finds solace in the progress made through educated efforts.

With improved concentration, individuals can delve deeper into their studies, work on complex projects, or pursue their passions with unwavering dedication. This satisfaction stems from the knowledge that their hard work and commitment have paid off, resulting in tangible advancements and personal development.

In conclusion, the path to improved concentration begins with educated efforts and leads to the discovery of inspiring words. These words serve as sources of motivation, fueling the desire for progress and growth.

As individuals concentrate better, they experience a satisfying sense of accomplishment, knowing that their efforts have yielded positive outcomes. By continuously honing their concentration skills and seeking inspiration through words, individuals can unlock their full potential and achieve their goals.

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A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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Multiply both sides by negative four to get rid of the fraction

j+18=-32

subtract 18

j=-50

Hence, the function increases at a constant multiplicative rate..

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). A function has three parts, a set of inputs, a set of outputs, and a rule that relates the elements of the set of inputs to the elements of the set of outputs in such a way that each input is assigned exactly one output.

We know,

the answer is (B) the function increases at a constant multiplicative rate.

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Answer:

A (2/8)

HOPE YOU WILL LIKE MY ANSWER

The researcher can use certain formulas for finding confidence intervals and hypothesis testing in this scenario.

For confidence intervals, the formula for the mean difference would be used, which is the average of the weight changes in the sample.

This formula calculates the range within which the true population mean difference is likely to fall.

To conduct hypothesis testing, the researcher can use the formula for the t-test for a single sample.

This test compares the mean difference observed in the sample to a hypothesized value and determines whether there is enough evidence to support or reject the hypothesis.

To check the assumptions necessary for this test, the researcher would need additional information. The assumptions typically include:

1. Random sampling: It is important to ensure that the subjects were randomly selected from the population to generalize the results.

2. Normality: The weight changes should follow a normal distribution within the population.

The researcher would need to assess the normality assumption, such as by examining the distribution of weight changes or using statistical tests like the Shapiro-Wilk test.

3. Independence: The weight changes of one subject should not be influenced by the weight changes of another subject.

This assumption can be violated if the subjects are related or if there are repeated measurements on the same subjects.

By checking these assumptions and using the appropriate formulas, the researcher can make confidence intervals and perform hypothesis testing to draw conclusions about the effects of the drug on weight loss in the population.

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A sampling technique that is based on the cumulative effect of information that every additional item in the sample adds as it is inspected is called: sequential sampling.

What is sequential sampling?

Sequential sampling is a non-probability sampling strategy where the researcher selects one or more populations within a time frame, conducts his research, evaluates the findings, and then selects further populations as necessary.

An auditor develops a set of three groups of sampling units, where each successive group contains the same number of units to be sampled. The sampling plan is to continue to the next group of sampling units if the preceding group contains at least one deviation

Simple random sampling, systematic sampling, stratified sampling, and cluster sampling are examples of probability sampling techniques.

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The slope would be the same on the graph.

What is a slope?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

                The slope-intercept form of an equation is used to represent each time the equation of a line is stated as y = mx + b.

                      M represents the line's slope. Additionally, b is the b in the y-intercepting point (0, b). For instance, the y-intercept is at (0, 7) and the slope is 3 in the equation y = 3x - 7.

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The positive solution is 5.

given,

When 10 is subtracted from a number's square, the result is three times the number.

let x be the number

according to given statement the quadratic equation will be

\(x^2-10=3x\\\\x^2-3x-10\\\\x^2+2x-5x-10=0\\\\x(x+2)-5(x+2)=0\\\\(x-5)(x+2)=0\\\\x=5\ or\ -2\)

Thus, the positive solution is 5.

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The correct explicit formula for the geometric sequence {1/3, 1/9, 1/27, 1/81, ...} is D.

A geometric sequence is a sequence in which each term is obtained by multiplying the previous term by a constant factor called the common ratio (r). In this case, the common ratio is 1/3 because each term is obtained by dividing the previous term by 3.

The explicit formula for a geometric sequence is given by an = a1(r)^(n-1), where a1 is the first term and n is the term number.

Using this formula, we can find the explicit formula for the given sequence as follows:

a1 = 1/3 (the first term)

r = 1/3 (the common ratio)

So, the explicit formula is:

an = (1/3)(1/3)^(n-1) = 1/3^(n)

Therefore, option D, an = 1/3(1/3)^(n-1), is the correct formula for the given geometric sequence.

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Answer:

D

Step-by-step explanation:

Did the test

Answer:

the value of ∠MIJ is 125

Step-by-step explanation:

You can assume ∠ JIK and ∠MIL are the same and would add to 110 degrees. we know a circle can only contain 360 degrees so if you take 360 - 110 = it leaves 250. and ∠LIK and ∠MIJ are equivalent so if you take your remainder of 250 and divide it by 2 you get 125 degrees.

Brainliest?

Answer:

1-

2X + 3Y = 330

2-

X + Y + Z = 3890

3-

1/3X + 2/3X = X

4-

X + Y = 27

Step-by-step explanation:

Para plantear ecuaciones para las siguientes situaciones se deben realizar los siguientes razonamientos lógicos:

1- Juan compró 2 panchos y 3 hamburguesas y le cobraron $330.

Panchos = X

Hamburguesas = Y

2X + 3Y = 330

2- Realizo un pago de la factura de luz, agua y cable en total me cobran $3890.

Luz = X

Agua = Y

Cable = Z

X + Y + Z = 3890

3- Un padre reparte un dinero X que recibió entre su esposa y su hijo, a su esposa le da el doble que al hijo.

Esposa = 2/3X

Hijo = 1/3X

1/3X + 2/3X = X

4- En el salón de clase hay 27 alumnos entre mujeres y varones.

Mujeres = X

Varones = Y

X + Y = 27

Answer:

No, the closest to -451 in the sequence is -429

Step-by-step explanation:

Answer:

nope

Step-by-step explanation:

Answer:

f(- 3) = 16

Step-by-step explanation:

substitute x = - 3 into f(x) , that is

f(- 3) = - 6(- 3) - 2 = 18 - 2 = 16