Find the equation of the line.
Use exact numbers.
y= x+

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

Explanation:

[tex]a_1[/tex] = -10 is the first term

d = 17 is the common difference. We add this amount to each term to get the next one. Eg: -10+17 = 7

We want to find the 66th term, so we'll use n = 66

Plug these values into the nth term arithmetic sequence formula below.

[tex]a_n = a_1 + d(n-1)\\\\a_{66} = -10 + 17(66-1)\\\\a_{66} = 1095\\\\[/tex]

The 66th term is 1095

Answer:

The answer is 1095.

66th term = 1095

Step-by-step explanation:

an = a1 + (n − 1)d

= -10 + (66 - 1) (17)

I did it on calculator.

It equals to = 1095

The graph that depicts the graphical representation of the function F(x) is attached below

This is further explained below.

Generally, The collection of ordered pairings where "f(x)=y" exists is the network of a function f.

These pairs are Centroid of locations in two-dimensional space and so constitute a subset of this plane in the typical situation when x and f(x) are real integers.

In conclusion, is a collection of discrete or continuous points that together form a curve or surface and each of which corresponds to a certain function's value. also known as a linear graph.

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Answer:

❌First option (A): there is no way a minus sign will be in the numerator and denominator, If so they would cancel out to be a positive number.

❌second option(B): there is no way a minus sign would stay in the denominator, it always stays in the numerator (even if it's in the denominator you take it up to the numerator).

❌ Fourth option (D): again no way a minus sign stays in the denominator so this option is wrong.

✅ Option (C): The minus sign is in the right place which is the numerator.

you see how I solved this problem without writing on paper or anything like that, sometimes you can find your answers by spotting abnormalities in the options you're given.

Answer:

x = 1  and x = -3

Step-by-step explanation:

if y = f(x) and f(x) = -5, this means y = -5

draw a horizontal line at y = -5 and see write the x values for where the line intersects with the graph.

The x values are:

x = 1  and x = -3

Answer:

Area of one face of pyramid equal 18.55

Step-by-step explanation:

Area of pyramid equal 18.55x4=74.2

Answer:

42

Step-by-step explanation:

L*W= Area

7*6=42

Hope this helps! :)

The transformed function is:

g(x) =  (3*(x + 4))² +  (3*(x + 4))

Here we have the function:

f(x) = x² + x

Now we want to apply a translation of 4 units to the left, followed by a horizontal shrink by a factor of 1/3.

First, the translation is written as:

g(x) = f(x + 4)

Now the shink will give:

g(x) = f( 3*(x + 4))

Replacing the actual function we will get:

g(x) =  (3*(x + 4))² +  (3*(x + 4))

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Answer:

your answer is 54%

The measure of angle 2 from the given figure is an acute angle.

Given that, when you look at a pencil in water, it looks bent. This illusion is due to refraction, or the bending of light when it moves from one substance to the next.

Refraction is the "bending" of light (or any electromagnetic wave) when entering a different medium.

In the given figure, the three angles, are angle 1, angle 2 and angle 3.

Angle 1 and 2 are formed with the surface of the water. Angle 1 in the medium air and angle 2 is in the medium water.

From the figure, given below we can see that angle 2 is less than 90° and greater than 0°.

Therefore, the measure of angle 2 from the given figure is an acute angle.

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The probability that the length of time will be between 50 and 70 hour is  0.4082.

Height is a simple instance of an event that describes a normal distribution: most people are of medium height, the proportions of people who are taller and shorter than average are roughly equal, and a very small (but still roughly equivalent) proportion of people either are extremely tall or extremely short.

Now, as per the given question;

Let t be the variable representing the length of time (t = 50)

As a result, the mean of the battery is 50 and the standard deviation is 15.

Thus, μ = 50 (mean) σ = 15 (standard deviation)

Now, we must calculate the probability that t is between 50 & 70.

Thus, the probability  P (50 < t < 70)

The z-value will be calculated as;

Z = (t – μ) / σ

Substitute the values,

Z = 50 – 50 / 15

Z = 0

Now, for the time; t = 70

Z = 70 – 50 / 15

Z = 1.33

Thus, the probability is;

P(50 < t < 70) = P(0 < z < 1.33)

So, the area to left of Z

= 1.33 – area to the left of z = 0

= 0.9082 – 0.5

P(50 < t < 70) = 0.4082

Therefore, the probability that the length of time will be between 50 and 70 hours is 0.4082.

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Answer:

  [tex]\sqrt[5]{27}[/tex]

Step-by-step explanation:

27^(1/5) = [tex]\sqrt[5]{27}[/tex]

According to the given statement the absolute value of just about any complex number Ia + biI seems to be the distance between (a, b) and (0, 0) in the complex plane is √(a² + b²).

After dividing one number by another, the modulo operation yields the remainder or signed remainder of the division. A modulo n seems to be the remainder of something like the Euclidean division on a by n, where an is the dividend and n is the divisor, given two positive numbers a and n.

The modulus operator can be used in a variety of situations. It is frequently used to decrease a randomly generated number to a randomly generated number in a smaller range, and it may also rapidly tell you if one integer is a factor of another.

The modulus of any complex number is its absolute value, regarding which there is a modulus formula. √(a² + b²).

where a and b are integers

Please see the attached file for the complex plane of the provided points (a,b) (0,0).

The separation of two points (x1 ,y1) and (x2 ,y2) will be:

√((x1 - y1)² + (x2 - y2)²)

We need to calculate the distance between (a,b) because (0,0)

We will obtain by replacing the numbers in the distance formula.

√((0 - a)² + (0 - b)²).

The given statement the absolute value of just about any complex number a + bi seems to be the distance between (a, b) and (0, 0) in the complex plane is √(a² + b²).

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I understand that the question you are looking for is:

now examine |a + bi| and complete the definition below. the absolute value of any complex number a + bi is the from (a, b) to (0, 0) in the complex plane.

Answer: distance , positive real on edge

Step-by-step explanation:

SOlution : Domain of (bºa)(x) = [4, ∞]

The term domain is most commonly used to describe the set of values D for which a function (map, transformation, etc.) is defined. For example, a function f(x) that is defined for real values x in R has domain R, and is sometimes said to be "a function over the reals." The set of values to which D is sent by the function is then called the range.

The domain (in its usual established mathematical sense) of a probability density function (and therefore also its distribution function) is available with the undocumented Wolfram Language command DistributionDomain[dist].

The meaning of "domain" in topology is a connected open set.

Another meaning of "domain" is what is more properly known as an integral domain, i.e., a ring that is commutative under multiplication, has an identity element, and no divisors of 0.

In the algebra of the function that is (f ± g)(x), (fg)(x) and (f/g)(x) the domain of the function will be an intersection of the domain of the functions f and g

Here the domain of the product of the function is asked thus the required domain will be an intersection of the domain of the function a and b.

Given a(x) = 3x + 1 ⇒ Domain, D1 = R

b(x) = √(x - 4) ⇒ Domain, D2 = [4, ∞]

Now, Domain of (b*a)(x) = Domain b(x) ⋂ Domain a(x)

= D2 ⋂ D1

= [4, ∞] ⋂ R

= [4, ∞]

Domain of (bºa)(x) = [4, ∞]

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10 percent to 19 percent of daily value must a snack meet in order for the FDA to consider it a ""good source"" of nutrients.

The Food Manufacturer or Distributor is responsible for ensuring their food product labeling complies with FDA regulations. FDA will not review or approve food labels. If the labels do not comply with FDA requirements, the FDA will consider the product as misbranded and may take regulatory action, including detention.

LMG's Label review service will help you confirm your product labels comply with FDA requirements. We have designed three types of label review services; you can choose the best service which fits your products.

( Food Label Compliance : FDA , Food and Drug administration)

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The measure of angle RQT is 63°

From the question, we are to determine the measure of angle RQT.

From the diagram,

We can observe that ∠PQS and ∠SQT form a linear pair

Thus,

∠PQS + ∠SQT = 180°

(4x + 15)° + (10x - 3)° = 180°

First, determine the value of x

4x + 15 + 10x - 3 = 180

4x + 10x = 180 - 15 + 3

14x = 168

x = 168/14

x = 12

In the diagram,

∠RQT and ∠PQS are vertically opposite

From the given information,

∠PQS = (4x + 15)°

∴ ∠RQT = (4x + 15)°

Substitute the value of x

∠RQT = (4(12) + 15)°

∠RQT = (48 + 15)°

∠RQT = 63°

Hence, the measure of angle RQT is 63°

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Answer:

-1/3

Step-by-step explanation:

Answer:5 higher and 1 horizontal

Step-by-step explanation:

Answer: f(-2)=3

Step-by-step explanation:

f(-2)=(-2-1)^2+3(-2)

=9-6

=3

This is the only true statement out of the questions.

So the answer would be -2.

The number of pizzas you must order for the price to be the same is 5

Bob's Pizza charges = $12 for each supreme pizza

This can be represented as

y = 12x

For Mike's Pizzeria, we have

y = 8x + 20

Substitute y = 12x in y = 8x + 20

12x = 8x + 20

Evaluate the like terms

4x = 20

Divide by 4

x = 5

Hence, the number of pizzas you must order for the price to be the same is 5

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Answer:

Step-by-step explanation:

A(2,6); B(10,8)

whats the midpoint of the segment?

The break even point obtained for the Sean's business is (60/7, 5100/7).

Part of the question is missing where x denotes a number of games and y denotes the monetary value.

y = 50x + 300

y = 85x

Estimate Sean's business's break-even point.

Calculate the same break even point by following method;

The functions are as follows:

The functions are given as:

Cost: y = 50x + 300   ......equation 1

Revenue: y = 85x       .......equation 2

For the value at break even point;

Cost = Revenue

Thus, equating 1 and 2.

85x = 50x + 300

simplifying;

35x = 300

Dividing both sides by 35

x = 60/7

Put x = 60/7 in equation 2

y = 85 × 60/7

y = 5100/7

Therefore, the break even point are obtained as (60/7, 5100/7).

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The complete question is-

Sean decides to start a small business creating and selling outdoor yard games. It will cost Sean $50 to make each game as well as an initial cost

of $300 to purchase the needed equipment and supplies. He plans to sell each game for $85,

The system of equations below models the cost and revenue for Sean's outdoor yard games where x represents the number of games and y represents the amount, in dollars.

y = 50x + 300

y = 85

Answer:

3.71

Step-by-step explanation:

AC² + BC² = AB²

3² + 6² = AB²

9 + 36 = AB²

AB = √45

AB = 3√5

AB = AD + BD

3√5 = 3 + BD

BD = 3√5 - 3

BD = 3.71

She will earn $924 if she works 38.5 hours this week

The function is given as

w(h) = 24h, if h < 40

w(h) = (36(h-40)+960 h> 40

If she works 38.5 hours this week, then

h < 40

So, we use

w(h) = 24h

This gives

w(38.5) = 24 * 38.5

Evaluate

w(38.5) = 924

Hence, she will earn $924 if she works 38.5 hours this week

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If you can't answer this question

Answer: 54,000,000

Step-by-step explanation: hope this helps

Answer:

The answer is y = -8

Step-by-step explanation:

You distribute,

1/2 x 2y = y

1/2 x 4 = 2

y+ 2 = -6

(then you subtract 2)

y=-8

If you would like to check, just put -8 into the equation in place of y

So it would look like this: 1/2(2 x -8 + 4) = -6

If it equals -6 then it means your answer is correct

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

The answer is 23200.

By using BODMAS , we will first simplify the bracket term.

The bracket term is [tex](3\times10-1)[/tex]

After , bracket we will operate the multiplication term which is given by

     [tex]30-1[/tex]

Now , we will use the subtraction operation .

   [tex]29[/tex]

On solving the bracket , we get 29 .

Now we will multiply 800 by 29 ,we get

[tex]800\times29=23200[/tex]

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The complete question is mention below :

  Solve  [tex]800(3\times10-1)[/tex]

The values of x that solve the equation g(x) = 0 are x = -3, 1, 5 and 7 and there are four values of x that solve the equation g(x) = 2

The graph represents the given parameter

(a) Evaluate g (-2), g(0), g (3) and g (7)

To do this, we take the function value at the given value of x

The function g(-2) means

x = -2

So, we have

When x = -2, g(x) = -3

This means that g(-2) = -3

The function g(0) means

x = 0

So, we have

When x = 0, g(x) = -3

This means that g(0) = -3

The function g(3) means

x = 3

So, we have

When x = 3, g(x) = 4

This means that g(3) = 3

The function g(7) means

x = 7

So, we have

When x = 7, g(x) = 0

This means that g(7) = 0

On the graph, we have the following values of x at g(x) = 0

x = -3, 1, 5 and 7

Hence, the values of x that solve the equation g(x) = 0 are x = -3, 1, 5 and 7

See attachment

Using the line in (c), the line crosses the curve four times at y = 2

Hence, there are four values of x that solve the equation g(x) = 2

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