Explain how to find 398 + 257 with mental math and with the standard algorithm.

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:

1.5>gh

Step-by-step explanation:

a) Paula 2019 Net worth is  $164,510 b) the difference in Paula's net worth, rounded to the nearest whole dollar, is $143,540.

a. To provide Paula with an updated list of her 2019 finances, we need to apply the changes and adjustments mentioned in the description. Let's go through each item:

Income:

- Gross income: Paula believes her gross income will double in 2019, so it will be $68,750 * 2 = $137,500.

- Interest income: Paula expects her interest income to decrease by $145, so it will be $415 - $145 = $270.

Assets:

- Checking account: Paula's checking account will double in value, so it will be $1,970 * 2 = $3,940.

- Savings account: Paula's savings account will also double in value, so it will be $8,650 * 2 = $17,300.

- Automobile: Paula sold her automobile and no longer has it, so the value is $0.

- Personal property: Paula expects her personal property to decrease by one-fourth, so it will be $13,500 - ($13,500 * 1/4) = $10,125.

Expenses:

- Living expenses: Paula plans to reduce her living expenses by one-fourth, so it will be $23,000 - ($23,000 * 1/4) = $17,250.

- Insurance premium: Paula's insurance premium will double, so it will be $290 * 2 = $580.

- Taxes: Paula's taxes will decrease by $240, so it will be $14,900 - $240 = $14,660.

- Medical expenses: Paula's medical costs will increase by $405, so it will be $610 + $405 = $1,015.

- Investment expenses: Paula hopes to cut her investment expenses by one-third, so it will be $3,600 - ($3,600 * 1/3) = $2,400.

Liabilities:

- Note to bank: Paula sent a $375 check to reduce her bank note, so it will be $5,000 - $375 = $4,625.

Now we can calculate the updated net worth for 2019:

Net worth = Assets - Liabilities

2019 Net worth = ($137,500 + $270 + $3,940 + $17,300 + $10,125) - $4,625

2019 Net worth = $169,135 - $4,625

2019 Net worth = $164,510

b. To calculate the difference in Paula's net worth between 2018 and 2019, we can round all the asset and liability values and subtract them:

2018 Net worth = $20,970

2019 Net worth (rounded) = $164,510

Difference = 2019 Net worth (rounded) - 2018 Net worth

Difference = $164,510 - $20,970

Difference = $143,540

Therefore, the difference in Paula's net worth, rounded to the nearest whole dollar, is $143,540.

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Answer:

8

Step-by-step explanation:

2*2*2

Answer:

-5

Step-by-step explanation:

The slope is the coefficient of x in this case. That means that the answer is -5.

Answer:

\(12w+24\)

Step-by-step explanation:

\(9w−3(−w−8)\)

\(9w+(−3)(−w)+(−3)(−8)\)

\(9w+3w+24\)

\((9w+3w)+(24)\)

\(12w+24\)

In the simplest form we can write the expression as - 12(w + 2).

We have the following expression -

9w - 3(- w - 8)

We have to write it in simplest form.

Expanding we get -

Δ = x(x - β) - α(x - β)

Δ = \(x^{2}\) - βx - αx + αβ

According to the question, we have -

9w - 3(- w - 8)

Simplifying it, we get -

9w + 3(w + 8)

9w + 3w + 24

12w + 24

12(w + 2)

Hence, in the simplest form we can write the expression as - 12(w + 2).

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A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

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x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

The null and the alternative hypothesis for Noel's test are given as follows:

The claim for the test is given as follows:

"There is a significant difference in lifespan for people in the two towns."

At the null hypothesis, we test if the claim is false, that is, if there is not a significant difference in lifespan for people in the two towns, hence:

\(\mu_A = \mu_B\)

\(\mu_A - \mu_B = 0\)

At the alternative hypothesis, we test if the claim is true, that is, there is a significant difference in lifespan for people in the two towns, hence:

\(\mu_A \neq \mu_B\)

\(\mu_A - \mu_B \neq 0\)

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The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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Answer: x= 2/5, 20

Step-by-step explanation:

5x+8=10

1. subtract 8 on both sides

   5x = 2

2. divide 5 on both sides

    x  = 2/5

10x+16

x = 2/5

1. substiuite x for 2/5

10 times 2/5 +16

4 + 16

= 20

Answer:

0.306

Step-by-step explanation:

Using binomial probability,

\(\binom{9}{2}(3/13)^2 (10/13)^7 \approx 0.306\)

Answer:

1 and 2 adjacent

5 and 6 are linear pair

Step-by-step explanation:

Answer:

1. 8. 2. 8. 3.  7/5. 4. 2/3.

Step-by-step explanation:

As you can see you just need to cross multiplication and use distirbitive property

Please give brainiest

Answer:

Step-by-step explanation:

Hope it helps you!

Answer:

If it is a fair die then it should have 6 faces, each one having a number 1-6. The probability of landing on a single number is 1/6. Because the die is fair there should be an equal probability of landing on a number 1-6 giving you a probability of 1/6. However, if the number of times rolled is changed, then the answer would be multiplied or added (depending on the question).

Answer:

Six less than five times a number is less than fourteen

Step-by-step explanation:

I had the same question on my homework haha

Answer:

(-infinity, -2) ∪ (-2, infinity)

Step-by-step explanation:

I will have to assume that you meant

f(x)=(x-3)/(x+2).  You must use parentheses to specify the order of operations in this problem.

x can take on any value except -2, at which the function is undefined.

Thus, the domain is (-infinity, -2) ∪ (-2, infinity)

Answer:

These kind of problems  are super difficult Anna, don't feel bad for not getting this. there is a bunch of "implied" ideas here... i'll go over them below, maybe it will seem a bit easier.  if not, ask some more questions in the comments of this problem , I'll see the comments and answer your question

Step-by-step explanation:

the 1st implied idea is that there is 360 ° in a circle

next you have to know, that the angle x   is also matched on the interior of the circle where the line of the angle x, first touches the circle.  if that is confusing , don't worry i'll make a rough drawing to show you.  

so we can know that the arc from the point where the angle x makes the tanget.. or just touches the circle to where it's other leg crosses the circle the 1st time,  that's angle is equal to the arc that is left over from the total circle.  see this is very "implied"  nobody said.. by the way... it's 360 ° minus the other arcs.. well.. I just did.. but  you had to come up with that on your own, before I said that.

x =  left over arc

360 = 200 + 40 + x

120 = x

Step-by-step explanation:

I will assume the height is 85 cm

 and the base is given as 245 cm^2

volume is just     area * height

     volume = 85 cm * 245 cm^2 = 20 825 cm^3

Using the combination and the arrangements formula, it is found that the number of possible playlists is given by:

\(7.98 \times 10^8\)

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem, we have that:

Hence, without considering the order, the number of playlists is given by:

\(C_{7,7}C_{12,3} = \frac{7!}{7!0!} \times \frac{12!}{3!9!} = 220\)

The number of possible arrangements of n elements is given by the factorial of n, that is:

\(A_n = n!\)

In this problem, the 10 musics are arranged, hence the number of playlists, considering the order, is given by:

\(n = 10! \times 220 = 798336000 = 7.98 \times 10^8\)

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The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.

It follows that the magnitude of a vector in terms of its components in the i and j direction is;

M = √(x² + y²).

On this note, since the i and j components are equal; x = y and hence, we have;

3 = √(x² + x²).

3² = 2x²

x² = 9/2

x = 3/√2

x = 3√2/2

On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.

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Answer:

Step-by-step explanation:

one

The only really certain way of getting an odd integer is to do 2k + 1. Therefore the answer should be something like 2k+1, 2k+3, 2k + 5

The best I can do for the first one is to assume that k is odd and that the answer is k + 10, k+12, k+14, but I would ask your instructor if this is merely the best answer out of a poor lot or if the question really has no answer.

Two things should be noted.

1. k has to be odd.

2. The first choice has to give consecutive integers because what is added on is 2 3 and 4. Those numbers are consecutive.

Two

k+1, k+2, k+3. See point 2 above. k is a constant and any number. 1,2,3 are consecutive so the results are consecutive. Even if k < 0 the numbers will be consecutive.

k= - 10

k+1 = - 9

k+2 = -8

k+3 = - 7

These are consecutive.

Your first choice will give either consecutive odd or even numbers depending on what k is.

If k = even, then k+6, k+ 8, k+10 will all be even.

If k = odd then the givens will be odd.

2k+9, 2k+11, 2k+13 will yield consecutive odd integers.

k+6, k+8, k+10 will yield consecutive integers.

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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Answer:

Step-by-step explanation:

y = 5x + 1

Table for input-output values is,

x        0         1           2           3

y        1          6          11          16          

Now we can plot these points to get the graph.

y = x + 2

Table for the Input-output values,

x       0         1           2          3

y       2         3          4          5

We can get the graph as attached.

Answer:

hi I will not have been a little

Step-by-step explanation:

I will be there at masaya Rin