Need help thanks in advance

Answer:

for the line to have a constant slope, the difference of every y- ordinate with the last ordinate has to be equal

to check this, we will use the following formula

y4 - y3 = y2 - y1  

if both the LHS and the RHS are equal, the slope is constant and is irregular otherwise

5 - 8 = 7 - 3

-3 = 4

LHS ≠ RHS

Since LHS is not equal to RHS, the slope is NOT constant and hence keeps increasing or decreasing irregularly

Therefore, option 4 (Not a line) is correct

Answer:

it is not a constant line

Step-by-step explanation:

each x value increases by 1, but the y values are all over the place and are in no order.

(a) The probability that a 0 is received is 66.7%

(b) By using the Bayes theorem, the probability that a 0 was transmitted, given that a 0 was received is 90%

Probability:

In statistics, probability deals with finding out the likelihood of the occurrence of an event.

Given,

Here the space probe near Neptune communicates with earth using bit strings. suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. when a 0 is sent, the probability that it is received correctly is 0.6 and the probability that it is received incorrectly (as a 1) is 0.4. when a 1 is sent the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 0) is 0.2.

Now, we have to find the probability of the following.

Here the probability that a 0 is received is calculated as,

=> 0.9 of 2/3(0 received when a 0 is sent) and 0.2 of 1/3(0 received when a 1 is sent). So

Now, the probability is

=> p = (0.9 x 2)/3 + (0.2 x 1)/3

=> p = 0.6667

When we convert this into percentage then we get, 66.67% probability that a 0 is received.

Similarly, by using the Bayes theorem, the probability that a 0 was transmitted, given that a 0 was received is calculated as,

Here we know that, Event A: 0 received and Event B: 0 transmitted.

Then 0.6667 = 66.67% probability that a 0 is received, which means that

P(A) = 66.7%

And the zero is transmitted two-thirds of time, which means that

P(B) = 66.7%

Where as if 0 is sent, then the probability that it is received correctly is 0.9, which means that

P(A|B) =0.9

Therefore, the probability is

=> 66.7 x 0.9/66.7

=> 0.9

We know that 0.9 = 90% probability that a 0 was transmitted, given that a 0 was received.

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\(a*b\) must contain all of the prime factors of n and the exponent of each factor must be less than or equal to the exponent of n. This means that a*b divides n.

Let n be an integer and a, b be relatively prime integers, each of which divides n. This means that a and b have no common factors other than 1. According to the Fundamental Theorem of Arithmetic, the prime factorization of n can be written as n = p1^k1 * p2^k2 * ... * pn^kn. Since a and b divide n, each of their prime factorizations must contain all of the prime factors of n, and the exponents must be less than or equal to the exponents of n. Therefore, a*b must contain all of the prime factors of n and the exponent of each factor must be less than or equal to the exponent of n. This means that a*b divides n.

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To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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Answer:

Triangles in Geometry

Step-by-step explanation:

Answer: 26129.6

Step-by-step explanation:

6721 x 381 = 2560701

14 + 84 = 98

2560701  / 98 = 26129.6

The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

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WE know that in any quadrilateral the interior sum of its angles is 360. The missing angle in this case is:

Now, we also know that if the oposite angles in a quadrilateral are equal then the quadrilateral is a parallelogram.

Therefore the figure shown is a parallelogram.

Answer: 43.75 miles per day.

Step-by-step explanation: All you have to do is divide 350 by 8, when you divide you basically just split the number evenly 8 times, which is what 350 divided by 8 is. He will have to drive 43.75 miles a day.

Answer:

8,588 people

Step-by-step explanation:

We can represent this exponential decay as \(P=10000(0.97)^n\) where \(n\) is the number of years later:

\(P=10000(0.97)^n\\\\P=10000(0.97)^5\\\\P=10000(0.8587340257)\\\\P=8587.340257\\\\P\approx8588\)

Therefore, the population 5 years later will be 8,588 people

Step-by-step explanation:

Ok so after the first year we expect the population to reach 97% of it's initial population.

So 97% of 10 000 can be written as:

97/100 ×10 000=0.97×10 000=9 700

After the second year we expect the population to drop to 97% of the first year's population

So, it can be said that:

0.97×9700= 9409

Similarly after year 3,

0.97× 9409= 9126.73

Year 4,

0.97× 9126.72= 8852.9281

Year 5,

0.97× 8852.9281=8587 rounded to the nearest number

The new population would be 8587

Answer:

it's easy

Step-by-step explanation:

first take a deep breath and then search it

Answer:

x^2 + 2x - 35

Step-by-step explanation:

Sum of zeros

= - 7 + 5

= - 2

Product of zeros

= - 7 x 5

= - 35

x^2 - ( sum of zeros )x + product of zeros

= x^2 - ( - 2 ) x + ( - 35 )

= x^2 + 2x - 35

The Quadratic polynomial is x^2 + 2x - 35.

the best way to solve this is using a system. let's pretend the two numbers we have are notated using the variables x and y.

our first equation is this:

x + y = -46. the sum of the two numbers x and y is -46.

our first equation is this:

x + 13 = y. here, the variable doesn't really matter. so, what this says is that y is 13 greater than x.

now, you know how to represent y in terms of x. plug the second equation into the first and you get this:

x + ( x + 13) = -46.

solve this:

2x + 13 = -46

2x = -59

x = -29.5

now, we know what x equals. using the second equation we created,

x + 13 = y, we can figure out what y equals. so, let's plug x in.

-29.5 + 13 = y

y = -16.5

you've got x and y now! i hope i helped you.

xoxo

Answer:

1-8

Step-by-step explanation:

I was only able to finish one through eight The rest follow the same concept though

Answer:

At 9 a.m., the temperature was 11 ˚F or -5 ˚F.

Step-by-step explanation:

Temperature at noon: 3 ˚F

Temperature at 9 a.m.: 8 ˚F higher or lower than 3 ˚F

Temperature at 9 a.m.:

3 ˚F + 8 ˚F = 11 ˚F

or

3 ˚F - 8 ˚F = -5 ˚F

Answer: At 9 a.m., the temperature was 11 ˚F or -5 ˚F.

Answer:

8 is not in the solution set

Step-by-step explanation:

Given, -y + 7 < -4

To find out if 8 is in the solution set, substitute y = 8 in the inequality and solve to see if the statement would be true.

Thus:

-8 + 7 < -4

-1 < -4

This -1 is less than -4. This is actually not TRUE. -1 is rather greater than -4.

Therefore, 8 is not in the solution set.

Answer:

Step-by-step explanation:

To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.

Given:

Average daily balance for November = $700

Unpaid balance at the end of November = $1,400

Annual percentage rate (APR) = 15.6%

Step 1: Calculate the interest charged for the month of November.

Interest = (Average daily balance * APR * Number of days in the month) / 365

Number of days in November = 30

Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)

Step 2: Add the interest to the unpaid balance to get the total balance on December 1.

Total balance = Unpaid balance + Interest

Total balance = $1,400 + $36.44 = $1,436.44

Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).

The total balance on the next billing date December 1 is $1,509.20.

The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).

Given,

Then, the percentage rate for November = \(\sf\frac{15.6}{100}\) × 700

\(\sf = \$109.20\)

Balance on 1st December = unpaid balance at the end of November + percentage rate

\(\sf = $1400 +$109.20\)

\(\sf =\$1509.20\)

Therefore, the total balance on the next billing date December 1 is $1,509.20.

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The length of each side of the wood is 5 centimetres.

Doug has 8 square pieces of wood. Each piece of wood have a side length of s cm. The total area of all 8 pieces of wood is 200 cm².

Hence, using quadratic equation let's find the length of each side of the wood.

Therefore,

8s² = 200

Hence,

8s² = 200

divide both sides of the equation by 8

s² = 200 / 8

s² = 25

s = √25

s = 5 centimetres

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Answer:

C

Step-by-step explanation:

it gets steeper. Hope this helps!

When the value of the slope gets bigger, the graph of a line gets steeper. The correct answer is C.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The slope of a line is a measure of how steep the line is.

It is defined as the change in the y-coordinate divided by the change in the x-coordinate between any two points on the line.

If the slope of a line is large, it means that the line rises or falls rapidly as we move along it.

Conversely, if the slope is small, the line rises or falls more gradually.

When the value of the slope gets bigger, it means that the rise or fall of the line per unit of horizontal distance (run) increases.

This causes the line to become steeper, i.e., the angle it makes with the x-axis increases.

On the other hand, when the slope gets smaller, the line becomes less steep, i.e., the angle it makes with the x-axis decreases.

Thus,

When the value of the slope gets bigger, the graph of a line gets steeper.

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Answer:

kkkkk

Step-by-step explanation:

kkkkkk kkkkkk kkkWhy were the Punic War so important for the development of the Roman Empire?

Answer:

20

Step-by-step explanation:

If you have 60,000,000 barrels of crude oil and 34% of the barrels are gasoline then you have to set up the problem like this because you have to find out how much 34% of 60,000,000 is first in order to solve the problem.

is/of x 100/%

60,000,000 / a   X    100 / 34

so..60,000,000 x 34 = 2,040,000,000

then divide that amount by 100= 2,040,000,000 / 100 = 20, 400,000

so the 34% actually is the total 20,400,000. Now, you divide the dollar amount 408,000,000 million barrels by the total amount of gasoline which is 20,400,000.

408,000,000 / 20,400,000 = 20

So each barrel of gasoline cost $20.

Answer:

Check Explanation

Step-by-step explanation:

The question is incomplete. But I can explain in a way that the full question can be easily solvable.

Note that the missing part of the question is percentage or fraction of the total college tuition cost that the scholarship covers.

For the sake of clarity, let us assume that the scholarship covers 60% of the total college tuition costs.

This means that Tamara still has to raise 40% of the total college tuition cost herself over the space of 2 years (24 months)

The total college tuition cost = $8240

Amount that Tamara still needs to raise = 40% × 8240 = $3296

She has to raise this amount over 2 years (24 months) on a monthly basis.

So, the amount she has to save monthly over 24 months = (3296/24) = $137.333

So, whatever the fraction or percentage of the total college tuition cost that the scholarship covers, just divide the rest of the college tuition cost after the scholarship has done its part (1 - fraction or 100% - percentage) by 24 months.

The answer is the amount that Tamara needs to save monthly.

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Answer:

(A∩B)∪C = 1, 6, 12

Step-by-step explanation:

Any values A and B share with along with any unique values of C

The solution to the polynomial equation 8x⁴ - 32x² = 0 by factoring are x = 0 or x = -2 or x = 2

To solve the equation 8x⁴ - 32x² = 0 by factoring, we can factor out the greatest common factor of the terms:

8x²(x² - 4) = 0

Now we can use the difference of squares identity to factor the quadratic expression:

8x²(x + 2)(x - 2) = 0

Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero.

Therefore, we can set each factor equal to zero and solve for x:

8x² = 0 or x + 2 = 0 or x - 2 = 0

Solving for x, we get:

x = 0 or x = -2 or x = 2

So the solution set for the equation is {0, -2, 2}.

To check the solution, we can substitute each value into the original equation and verify that it equals zero.

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Answer:

the event is odds against an event of the 19 to 12 is probability is the 19

The probability of occurring the event is 12/31.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

We know if the odds against an event is a : b then the probability of occurring the event is b/(a + b).

Given, The odds against an event are 19 to 12.

∴ The probability of occurring the event is 12/(19 + 12) = 12/31.

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Given:

\(y=2x^2\)

To find:

The equation that can be simplified to find the inverse of given equation.

Solution:

We have,

\(y=2x^2\)

To find the inverse first we have to interchange x and y.

\(x=2y^2\)

Now, we to solve this equation for y to find the inverse.

So, the equation \(x=2y^2\) can be simplified to find the inverse of given equation.

Therefore, the correct option is 4.

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

OOk

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

If we have an equaton in a standard form, that is y = mx + b, our slope is m (the coefficient of x). So, let's transform 3x - 6y = 144 into the standard form.

3x - 6y = 144

-6y = - 3x + 144

y = -3/(-6)x - 144/6

y = (1/2)x - 24

As I mentioned above, the slope is the coefficient of x. Here our slope is 1/2.

Answer:

hang on

Step-by-step explanation: