Illustrate it in standard form of quadratic equations.
1. 7x - 7 + 3x^2 = 0​

A table of values and an equation for C, in terms of t, representing the total cost of using a computer for t minutes at the internet cafe are as follows:

C                         t

$10.60                1

$11.20                 2

$11.80                 3

C = 0.60t + 10.

In order to write an equation for the total cost, we would assign variables to the amount of time used and the total cost of using a computer, and then translate the word problem into algebraic equation as follows:

Since the cafe has an initial charge of $10 to use a computer and an additional charge of $0.60 for every minute of use, an equation for the total cost is given by:

C = 0.60t + 10

When t = 1, we have:

Total cost, C = 0.60(1) + 10

Total cost, C = $10.60.

When t = 2, we have:

Total cost, C = 0.60(2) + 10

Total cost, C = $11.20.

When t = 3, we have:

Total cost, C = 0.60(3) + 10

Total cost, C = $11.80.

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Answer:

Using the cosines law

Step-by-step explanation:

So, we need to find the length of the other side, we will use the version of the Cosine Rule where a2 is the subject of the formula, which is given by, a2=b2+c2−2bccosA, Side a is the one we are trying to find. Sides band care the other two sides, and angle Ais the angle opposite side a. c2=a2+b2−2abcosC

The equation of the line passing through the given point and parallel to the given line (-1, 2), 2y = 6x + 13 will be y=3x+3.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

It is given that, the equation of the line passing through the given point and parallel to the given line.(-1, 2), 2y = 6x + 13

The slope of the given line is,

2y = 6x + 13

y=3x+13/2

m=3

The equation of the line passing through the (-1, 2) and slope equal to 3 is,

y-2=3(x+1)

y-2=3x+1

y=3x+3

Thus, the equation of the line passing through the given point and parallel to the given line (-1, 2), 2y = 6x + 13 will be y=3x+3.

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Answer:

  20.7°

Step-by-step explanation:

Bearing angle is measured clockwise from north. The geometry can be modeled by a right triangle with the sides equal to the distances north and east of town B. The tangent relation can be used to find the angle.

__

The attachment shows the geometry. The relevant angle relation is ...

  Tan = Opposite/Adjacent

  tanIβ) = 23/61 . . . . . where β is the bearing angle

The angle value can be found using the arctangent function.

  β = arctan(23/61) ≈ 20.659°

The bearing of A from B is about 20.7°.

There are 640 acres in 1 square mile. The area of a forest is increasing at a rate of 1 acre per decade. The rate at which the area of the forest is increasing, in square kilometers per decade is C) 0.0025 square kilometers per decade.

The area of the forest is increasing at a rate of 1 acre per decade. To find the rate in square kilometers per decade, we first need to convert acres to square miles, and then square miles to square kilometers.

1 acre = 1/640 square miles (since there are 640 acres in 1 square mile)

Now, we'll convert square miles to square kilometers using the given conversion factor (1 kilometer = 0.62 mile):

1/640 square miles * (1 km / 0.62 mile)^2 = 1/640 * (1 / 0.3844) square kilometers ≈ 0.00256 square kilometers

So, the closest answer to the rate at which the area of the forest is increasing is:

C) 0.0025 square kilometers per decade

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The quantities needed to make multiple loaves of bread can be solved for by multiplying each recipe used for a loaf of bread by number of loaves of bread

A loaf of bread

2 loaves of bread

multiply each ingredients by 2

3 loaves of bread

multiply each ingredients by 3

4 loaves of bread

multiply each ingredients by 4

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Answer:

7.2x10^-5

Step-by-step explanation:

you count to the right 5 zero's making your number a negative and you have five zeros making it 7.2x10 to the -5th power

Answer:

is A

Step-by-step explanation:

i did the test and i got it wrong but  have the answer

Answer:

A. 5

Step-by-step explanation:

x=5

Answer:

A

Step-by-step explanation:

Thier equal so 78-18=60

60/12=5

Step-by-step explanation:

these are composite functions : a function of a function of a value.

this can have many more "staging" levels.

in essence, we calculate the functional result of the innermost function (with the given value) first, use that functional result as input value for the next function to the left. use that functional result as input value for the next function to the left. ...

f(g(x)) means therefore we start with g(x).

g(f(x)) means we start with f(x).

that is all. it is really simple. and actuality fun (like a maze - remember e.g. computer games, where you walked through one door and excited through a totally different door ?).

f(g(0)) =

so, we need g(0) = 4 - 0² = 4

and now we calculate

f(4) = 7×4 + 6 = 28 + 6 = 34

therefore,

f(g(0) = 34

g(f(0)) =

so, we need f(0) = 7×0 + 6 = 6

and now we calculate

g(6) = 4 - 6² = 4 - 36 = -32

therefore,

g(f(0)) = -32

The required sentences can be completed as follows:

68% of the scores are between 68 and 84.

95% of the scores are between 60 and 92.

99.7% of the scores are between 52 and 100.

To complete the first sentence, we need to find the range of scores that includes 68% of the values.

We know that 68% of the scores fall within 8 points of the mean, so the range of scores that includes 68% of the values is 76 - 8 to 76 + 8, or 68 to 84.

Therefore, the first sentence can be completed as follows:

68% of the scores are between 68 and 84.

To complete the second sentence, we need to find the range of scores that includes 95% of the values.

We know that 95% of the scores fall within 16 points of the mean, so the range of scores that includes 95% of the values is 76 - 16 to 76 + 16, or 60 to 92.

Therefore, the second sentence can be completed as follows:

95% of the scores are between 60 and 92.

To complete the third sentence, we need to find the range of scores that includes 99.7% of the values.

We know that 99.7% of the scores fall within 24 points of the mean, so the range of scores that includes 99.7% of the values is 76 - 24 to 76 + 24, or 52 to 100.

Therefore, the third sentence can be completed as follows:

99.7% of the scores are between 52 and 100.

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Answer:

i got C

Step-by-step explanation:

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

There is  mBOM + mBON = -60° and mBOM + mOXA + mOXB = 148°,

we can subtract these two equations to eliminate mBOM:  (mBOM + mOXA + m.

To find mP, a, and b, we will analyze the given information and apply the properties of circles and tangents.

First, let's focus on finding mP. We know that tangent lines to a circle from the same external point have equal lengths. In this case, the tangents are BP and PA, and they are tangent to the inner circle at points N and M, respectively.

Since tangents from the same external point are equal in length, we can conclude that BN = AM.

Next, we observe that triangles BON and AOM are congruent by the Side-Angle-Side (SAS) congruence criterion.

Therefore, we have:

mBON = mAOM (congruent angles due to congruent triangles)

mBON + mMON = mAOM + mMON (adding 120° to both sides)

mBOM = mAON (combining angles)

Now, we consider the angles in the outer circle. Since mAX = mBY = 106°, we can infer that mAXO = mBYO = 106° as well.

Furthermore, we know that the sum of the angles in a triangle is 180°. Hence, in triangle AXO, we have:

mAXO + mAOX + mOXA = 180°

106° + mAOX + mOXA = 180°

Simplifying, we find:

mAOX + mOXA = 74°

Similarly, in triangle BYO, we have:

mBYO + mBOY + mOYB = 180°

106° + mBOY + mOYB = 180

Simplifying, we find:

mBOY + mOYB = 74°

Now, we can analyze triangle PON. The sum of its angles is also 180°:

mPON + mOPN + mONP = 180°

Substituting known values, we have:

mPON + mBON + mOBN = 180°

mPON + mAOM + mBOM = 180°

Since we know that mBOM = mAON, we can rewrite the equation as:

mPON + mAOM + mAON = 180°

Substituting mBOM + mBON + mMON for mPON + mAOM + mAON (from earlier deductions), we get:

mBOM + mBON + mMON + mMON = 180°

Simplifying, we find:

2mMON + mBOM + mBON = 180°

Substituting the given value mMON = 120°:

2(120°) + mBOM + mBON = 180°

240° + mBOM + mBON = 180°

Simplifying further:

mBOM + mBON = -60°

Now, let's consider the angles in the outer circle again. Since mBOM + mBON = -60°, we have:

mBOM + mAXO + mOXA + mOXB + mBYO = 360°

mBOM + 106° + mOXA + mOXB + 106° = 360°

Simplifying, we find:

mBOM + mOXA + mOXB = 148°

Since mBOM + mBON = -60° and mBOM + mOXA + mOXB = 148°, we can subtract these two equations to eliminate mBOM:

(mBOM + mOXA + m

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Answer:

i need help too

Step-by-step explanation:

Answer:

y = 4 - 2x

Step-by-step explanation:

Hope this helps! Have a great day!

We know that the measures of dispersion tend to see how numbers are scattered around the mean. In this case, we are asked to find three of the measures of dispersion which are; range, variance and standard deviation.

We first have to arrange the data in the proper order as follows;

20.1, 21.7, 23.2, 24.0, 30.9, 33.5, 58.4, 60.0, 74.8, 110.8

It is now easier for us to find the range of the data set as the difference between the largest and the smallest value; 110.8 – 20.1 = 90.7

The mean of the dataset is = 20.1 +  21.7+  23.2 + 24.0 + 30.9 + 33.5 + 58.4 + 60.0 + 74.8 + 110.8/10

= 45.74

Now;

Variance = (20.1 - 45.74)^2 + (21.7 - 45.74)^2 + (23.2 - 45.74)^2 + (24.0 - 45.74)^2 + (30.9 - 45.74)^2 + (33.5 - 45.74)^2 + (58.4 - 45.74)^2 + (60.0 - 45.74)^2 + (74.8 - 45.74)^2 + (110.8 - 45.74)^2/10

= 657.4 + 577.9 + 508.1 + 472.6 + 220.2 +149.8 + 160.3 + 203.3 + 844.5 + 4233/10

= 802.71

Standard deviation = √variance = √802.71

= 8.96

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The probability of the arrow landing on section a is 1/5 since there are 5 equal sections. The probability of the coin landing on heads is 1/2 since there are only 2 possible outcomes (heads or tails) for the coin.

To find the probability of both events happening, we need to multiply the probability of the arrow landing on section a by the probability of the coin landing on heads. This gives us (1/5) * (1/2) = 1/10. So the probability that the arrow will land on the section labeled a and the coin will land on heads is 1/10. In other words, there is a 1 in 10 chance of both events happening. It is important to note that each event is independent of each other, meaning the outcome of one does not affect the other. This is because the spinner and the coin are not connected or related in any way.

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Answer:

Step-by-step explanation:

2^45

Answer:

64π²

Step-by-step explanation:

Formula is πr². Just put 8 into r.

Can I have Brainliest?

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Add

5

5

5

to both sides of the equation

2

−

5

=

1

1

2

−

5

+

5

=

1

1

+

5

2

Simplify

Add the numbers

Add the numbers

2

=

1

6

3

Divide both sides of the equation by the same term

2

=

1

6

2

2

=

1

6

2

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=8

Solution

=8

Step-by-step explanation:

Research on aging uses a **longitudinal** design.

A longitudinal design is a research design in which the same participants are studied over time. This is in contrast to a **cross-sectional** design, in which different participants are studied at different times.

Because age cannot be manipulated as an independent variable, research on aging must use a longitudinal design. This allows researchers to track changes in participants' behavior, cognition, and other factors as they age.

Longitudinal studies can be expensive and time-consuming to conduct, but they can provide valuable insights into the aging process. For example, longitudinal studies have shown that cognitive decline is not inevitable with age, and that certain lifestyle factors, such as exercise and social engagement, can help to protect against cognitive decline.

Here are some examples of longitudinal studies on aging:

* The Baltimore Longitudinal Study of Aging, which has been following a group of adults for over 70 years.

* The Framingham Heart Study, which has been following a group of adults for over 70 years.

* The Study of Adult Development and Aging, which has been following a group of adults for over 80 years.

These studies have provided valuable insights into the aging process, and they continue to be an important source of information for researchers and policymakers.

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Answer:

x=24 y=15

step by step solution:

Answer:

Step-by-step explanation:

Coco

My fav movie?

Space Jam 2

Prob since I’ma basketball fan :)))

The distribution (or scattering) of IQ scores approximates a bell-shaped curve, also called a normal distribution or Gaussian distribution.

Normal distribution, also known as Gaussian distribution, is a type of probability distribution that is commonly used in statistical analysis. It is a continuous probability distribution with a bell-shaped curve that is symmetrical around the mean, or average, of the data.

The shape of the normal distribution curve is determined by two parameters: the mean and the standard deviation. The mean represents the central tendency of the data, while the standard deviation measures the spread of the data around the mean. The standard deviation also determines the width of the curve. In a normal distribution, about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations of the mean, and about 99.7% falls within three standard deviations of the mean.

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True, there are some undefined terms like line, point angle, distance between two points .

Which definition of angle is the best?

How does Euclid define angle?

A plane angle is the inclination toward one another of two intersecting, non-straight lines in the plane.

True, there are some undefined terms like line, point angle, distance between two points .

we intuitively know about the angle but can not give mathematical definition .

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Women are typically given lower-level or staff jobs at the beginning of their careers. This gender discrimination issue prompts problems with job equality for the rest of their work life

The term gender inequality describes how people are seen or treated differently depending on their gender. It results from variations in gender roles that are socially established. The problem raised by the posed question is a specific instance of gender discrimination connected to occupational segregation. Women are frequently assigned to lower-level or staff positions, which can make it difficult for them to develop in their careers.

This may also result in lower compensation throughout course of their careers. This keeps the cycle of inequality going and may be harmful to the financial security and general wellbeing of women. Promoting gender equality in the workplace frequently entails eliminating occupational segregation and giving all employees, regardless of gender, equal opportunity for career growth and professional development.

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