What is the y-intercept of a line that has a slope of 3 and passes through point (-1, -7)?
0-10

Answer:

\(\dfrac{6x+2}5}\)

Step-by-step explanation:

The given expression is :

\(\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}\)

We need to write the equivalent expression for the above expression.

Taking like terms together,

\(=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}\)

So, the equivalent expression is \(\dfrac{6x+2}5}\).

The answer is: B' = {1, 2, 3, 5, 7, 9} and C' = {1, 2, 3, 4, 5}, and A n (B'UC) = {2, 4, 5, 7}. This can be answered by the concept of Sets.

The complement of set B (denoted as B') in the universal set U is the set of natural numbers less than 11 that are not in B. The complement of set C (denoted as C') in the universal set U is the set of natural numbers less than 11 that are not in C. The intersection of set A with the union of sets B' and C (denoted as A n (B'UC)) is the set of elements that are common to set A and the union of sets B' and C, where B' is the complement of set B and C' is the complement of set C.

The universal set U consists of natural numbers less than 11: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Set B' is the complement of set B in the universal set U, which means it contains all the elements of U that are not in B: B' = {1, 2, 3, 5, 7, 9}.

Set C' is the complement of set C in the universal set U, which means it contains all the elements of U that are not in C: C' = {1, 2, 3, 4, 5}.

The union of sets B' and C is the set of all elements that are in either B' or C or in both: B'UC = {1, 2, 3, 4, 5, 7, 9}.

The intersection of set A with the union of sets B' and C is the set of elements that are common to set A and the union of sets B' and C: A n (B'UC) = {2, 4, 5, 7}.

Therefore, the main answer is: B' = {1, 2, 3, 5, 7, 9} and C' = {1, 2, 3, 4, 5}, and A n (B'UC) = {2, 4, 5, 7}

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The domain of the function in the given graph is -3 ≤ x ≤ 4.

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Identify the input values. Since there is an even root, exclude any real numbers that result in a negative number in the radic and. Set the radic and greater than or equal to zero and solve for x . The solution(s) are the domain of the function.

We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.

The domain of the function represents all the input values, or the x-coordinate of the graph.

Hence, the domain of the function is -3 ≤ x ≤ 4.

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A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

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Answer:

20 is correct answer

Step-by-step explanation:

8+3×4

=8+12

=20

Remember always follow bodmas rule

hope it helped you:)

thanks!

Answer:

The answer is 20.

Step-by-step explanation:

#>×==×

Answer:

4ft

Step-by-step explanation:

4ft is the ansjdjfjdjsdmdhdkd

Answer: 24-150

Step-by-step explanation:

-6(-4 + 25)

24-150

Answer:

-126

Step-by-step explanation:

First, you multiply the -6 by -4

-6 * -4 = 24

Because a negative times a negative equals a positive.

So you now have 24

Second, you multiply the -6 times 25

-6 * 25 = -150

Because a negative times a positive is a negative.

So now you have -150

Third, you add up the two numbers together

24 + -150 = -126

Answer:

f(x) = Ca^x

x = years since 2000.

f(0) = 220000 = Ca^0 = C

f(x) = 220000a^x

f(1) = 220000(1-0.11) = 220000a^1

a = 0.89

f(x) = 220000(0.89)^x

So each year reduces by 89%

Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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Answer:

If the temperature cooled by 4° on the first day of the year, and then heated up 7° on the second day, the net change in temperature would be a 3° increase. This means that the temperature increased by a total of 3° over the two days.

Step-by-step explanation:

On the first day of the year, the temperature starts at a certain degree (let's call it X).

On the same day, the temperature cools by 4°. This means that the temperature becomes X - 4°.

On the second day of the year, the temperature starts at X - 4° (the temperature from the previous day).

On the second day, the temperature heats up by 7°. This means that the temperature becomes (X - 4°) + 7° = X + 3°.

The net change in temperature over the two days is X + 3° - X = 3°.

I hope this helps to clarify the example! Let me know if you have any further questions.

The equation of the line that is perpendicular to the line 3y - 4x = 6 is: c. 4y + 3x = 8.

The lines that are perpendicular to each other have slope value of their equation, m, that are negative reciprocals of each other or the product of their slopes is equal to -1.

Given the line 3y - 4x = 6, rewrite the equation in slope-intercept form, y = mx + b, and determine the value of m:

3y = 4x + 6

Divide both sides by 3

3y/3 = 4x/3 + 6/3

y = 4/3x + 2

The slope (m) = 4/3.

The slope of the line that would be perpendicular to the line 3y - 4x = 6, will have a slope of -3/4, which is the negative reciprocal of 4/3.

Rewrite 4y + 3x = 8 in slope-intercept form:

4y = -3x + 8

4y/4 = -3/4x + 8/4

y = -3/4x + 2

The slope of 4y + 3x = 8 is -3/4.

Therefore, the perpendicular line is: c. 4y + 3x = 8.

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Answer:

400 milliliters

Step-by-step explanation:

multiply 4 x 100

=400

There are a total of 12 potential outcomes.

There are also four possible results when selecting a blue marble.

Given that,

All outcomes of selecting a card with a number 1, 2, 3, or 4, as well as a blue, green, or yellow marble.

Since the collection of all potential outcomes is known as the sample space.

So, these are the scenarios that could occur if you choose a card and a marble:

One blue, one green, one yellow, two blues, two greens, three blues, three yellows, four blues, four greens, four yellows

There are so a total of 12 scenarios that could occur.

Additionally, we must count the number of outcomes that contain the word "blue" in them in order to determine how many outcomes entail selecting a blue marble:

Blue 1, Blue 2, Blue 3, and Blue 4

Hence, There are so four possible results when selecting a blue marble.

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Greetings!

Answer:

5 +1x

Step-by-step explanation:

5 + 1x

The 5 dollars is for the entry fee because you going to pay that no matter what, Ten it's 1 dollar per ride so it would be 1 x (x repersenting the number of rides)

Answer:

5+1x=

Step-by-step explanation:

you paid 5 dollars for the entry and its one dollar per a ride so you would multiply 1 by how many rides and add by the 5 dollars and you will get the total amount you spend  

The suitcase has a lock consisting of four number.

Each number could be any number from 0 to 9.

for each of the first three numbers slot on the lock, there are 10 possible numbers that can fit in (that is 0,1,2,3,4,5,6,7,8,9)

And for the last slot, According to the restriction given in the question that it has to be an even number.

So, for the last slot the possible numbers that can fit in are (0,2,4,6,8), which are even numbers between 0 and 9. which means there are 5 possible numbers for the last slot.

The total number of possible combinations is equal to the product of the number of possible numbers for each slot.

Where N is the total number of possible combination for the slot, and N1,N2,N

Therefore, the sum of the first 1234 terms of this sequence is 1234.

To find the sum of the first 1234 terms of the sequence consisting of 1's separated by blocks of 2's with n 2's in the nth block, we need to determine the number of blocks and the number of 1's in each block.

Let's examine the pattern of the sequence:

Block 1: 2's

= 1's

= 1 (1 2)

Block 2: 2's

= 2's

= 22 (1 22 1)

Block 3: 2's

= 3's

= 222 (1 222 1)

Block 4: 2's

= 4's

= 2222 (1 2222 1)

...

We observe that the number of 2's in each block is equal to the number of the block itself. So, in the nth block, there are n 2's.

Now, let's calculate the number of blocks required to reach the 1234th term:

To find the number of blocks, we need to determine the maximum block number before the 1234th term. We can calculate this by finding the sum of the series 1 + 2 + 3 + ... + n until the sum is greater than or equal to 1234.

The formula for the sum of the series 1 + 2 + 3 + ... + n is given by: S = (n/2)(n+1).

Let's solve this equation:

(n/2)(n+1) = 1234

\(n^2 + n - 2468 = 0\)

Using the quadratic formula:

n = (-1 + √(1 + 4*2468)) / 2

n ≈ 61.76

Since n must be a whole number, we take the ceiling of n, which gives us 62.

Therefore, there are 62 blocks in the sequence.

Next, let's calculate the number of 1's in each block:

In the nth block, there are n 2's. Since each 2 is separated by a 1, there are n + 1 terms in each block.

So, the number of 1's in each block is (n + 1) - n = 1.

Since there is always one 1 between two consecutive blocks, the total number of 1's in the sequence is equal to the number of blocks, which is 62.

Finally, let's calculate the sum of the first 1234 terms:

Each block has n + 1 terms, which gives us (n + 1) + (n + 1) + ... + (n + 1) (62 times).

Sum of (n + 1) repeated 62 times = 62(n + 1)

= 62 * 2

= 124.

In addition to the blocks, we have 1234 - 62 = 1172 remaining terms, which are all 1's.

So, the sum of the first 1234 terms is 62 + 1172 = 1234.

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Answer:

\(=\pm i\sqrt{66}\)

Step-by-step explanation:

So we have:

\(\pm\sqrt{-66}\)

This is the same as:

\(=\pm\sqrt{66\cdot-1}\)

Separate:

\(=\pm\sqrt{66}\cdot\sqrt{-1}\)

Replace the second term with i:

\(=\pm i\sqrt{66}\)

The square root of 66 cannot be simplified.

So, this is our answer :)

The length of the frame the width is 22

What is the perimeter of a frame whose length is 22 inches and whose breadth is 14 inches?

The distance around an object is called the perimeter.

For instance, the yard of your home is fenced in. The perimeter is the length of the fence. Your fence is 200 feet long if the yard is 50 feet by 50 feet.

The answer to the above-mentioned difficulty is provided here.

We will search for the length since the frame's breadth is 14 inches and its perimeter is 72 inches. 2L + 2W is the perimeter formula.

Therefore, let's swap the values.

P = 2L + 2w

72 = 2L + 2(14) (14)

72 = 2L + 28

72 -28 = 2L\s44 = 2L \s22 = L

Consequently, the picture frame's length

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Answer:

25000

Step-by-step explanation:

Just go to the right 4 spaces

Answer:

I believe the answer is 240.

Step-by-step explanation:

Answer:

240 calories each day

Step-by-step explanation:

According to the information Lacey read, a cat weighing p pounds needs to eat a total of 30p calories each day to stay healthy. Since Lacey's cat, Muffin, weighs 8 pounds, she needs to eat 30 * 8 = <<30*8=240>>240 calories each day to stay healthy. Therefore, Lacey should feed her cat a total of 240 calories each day in order to ensure that it receives the proper nutrition and stays healthy.

Answer:

ten lakh sixty nine thousand and twenty three point two seven

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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Answer:

16:3

Step-by-step explanation:

Thats the way ratios work

Answer:

7:1

Step-by-step explanation:

Answer: Outsourcing

Step-by-step explanation: I just took a test.

The use of workers that use networked computers to work at lower rates of pay than American workers is called outsourcing.

The term outsourcing has to do with a situation in which workers from outside the company are contrated to do the work of the company. This could be done remotely most times by the use of a computer.

In this case, the American companies that contracted European and Asian companies, where well educated workers could do jobs on networked computers at lower rates of pay than American workers is called outsourcing.

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Step-by-step explanation:

Think of it this way what if an exponent had 1 so like 10^1

that still equals 10, and does not change anything, so you need to add one more to the exponent as the first number does not change how many types the number is multiplied. Hope this helps