4y, 3y terms, coefficients, and constants.

Answer:

2.45%

Step-by-step explanation:

(2.86 - 2.79) / 2.86 = 0.0245

0.0245 x 100 = 2.45%

Answer:

Radius=4 units

Centre= (0,-10)

Step-by-step explanation:

Given equation of circle is x^2 +(y-10)^2=16

Comparing it with (x-h)^2 +(y-k)^2 = r^2 ,we get,

r=4

Since, centre of a circle=(h,k)=(0,-10)

Answer:

Center (0;10) Radius= 4. Make me brainliest? :(

Step-by-step explanation:

\((x + 0)^{2} + (y - 10)^{2} = 16 \\ center(0.10) \\ radius = \sqrt{16} = 4\)

The rule for the translation is (x,y) → (x+1,y+2).

Given the vertices of the triangle ABC, A(-3, 4), B(4,-2), C(8,3).

The triangle translates 2 units up and 1 unit right.

We have to find the rule that represents the translation of the triangle.

What is the translation?

A translation is a type of transformation that moves a figure in a specific direction without altering its shape and size. When we translate a figure, the size, shape, and orientation of the figure remain the same. The new position of the figure is called the image.

Let us determine the rule of translation for triangle ABC, with vertices A(-3, 4), B(4,-2), and C(8,3).

We move 2 units up and 1 unit right, so the rule for the translation is (x, y) → (x + 1, y + 2)

Therefore, the rule that represents the translation of triangle ABC is (x, y) → (x + 1, y + 2).

When a translation occurs, each point in the original shape is moved in the same direction and for the same distance. This type of transformation is also called a slide or shift. The rule for a translation is given by (x,y) → (x + a, y + b), where a represents the horizontal shift and b represents the vertical shift.

To translate triangle ABC two units up and one unit right, we need to add 2 to the y-coordinate and 1 to the x-coordinate of each point. Therefore, the rule for the translation is (x,y) → (x+1,y+2).

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Answer:

Ends with r and has five or fewer letters

Step-by-step explanation:

Answer:

The answer is : B

Step-by-step explanation:

trust me I did it on edge 2022

True, a box can be held in position by a cable along a frictionless incline.

When the tension force in the cable is equal to the component of the gravitational force rate acting parallel to the incline, the box will remain in a stationary position.

force which prevents one solid item from rolling or slipping over another. Although frictional forces can be advantageous, such as the traction required to walk without slipping, they can provide a significant amount of resistance to motion.

What are the 4 different forms of friction?

It opposes the sliding motion of both layers of fluid and solid matter. Friction comes in four flavors: flowing, rolling, sliding, and static.

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If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to widen.

This is because the standard deviation is a measure of the spread of the data, so if it increases, the data points are more spread out from the mean. As a result, the range of values that could reasonably contain the true population parameter (i.e., the confidence interval) needs to be wider to account for the increased variability in the sample.
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to become wider.
When standard deviation increases, it indicates more variability in the data. As a result, the confidence interval, which is a range of values that estimates the true population parameter with a certain level of confidence, needs to be wider to account for the increased variability. This ensures that the true population parameter is still captured within the interval with the same level of confidence.

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Answer:

\(\displaystyle x=\frac{-1}{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

x² + x + 1/4 = 0

↓ Compare to Standard Form

a = 1, b = 1, c = 1/4

Step 2: Solve for x

Answer:

It's 16

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer: x=3

Step-by-step explanation:

7x-2=3x+10

-3x   -3x

4x-2=+10

   +2  +2

4x=12

4x/4=12/4

x=3

Answer:

The wall is 40 feet wide.

Step-by-step explanation:

92.8 / 0.29 = 320 square feet

320 / 8 = 40 feet

Answer:

2x^2 + x - 1

If I did anything you didn't understand let me know so I can explain.  

Step-by-step explanation:

All of them are quadratics so let's use that.

The first one is 2x^2 + x - 1.  To find the axis of symmetry the strategy is usually to find the two zeroes of a quadratic and pick the number between them.  Something to  notice though is that 2x^2 + x - 1 is just 2x^2 + x sshifted down 1, so they both have the same axis of symmetry.  So I am going to ignore the constant, because then finding the zeroes is much much simpler.  I am going to do this with all opions.

So 2x^2 + x - 1 I am just going to use 2x^2 + x.  If you factor out an x you get x(2x + 1)  So now we have it in factored form and we know the zeroes are 0 and -1/2.  The number directly in between these is -1/4, so the axis of symmetry is x = -1/4.  I don't know if there is only one with that axis of symmetry so i am going to check the rest.

2x^2 - x + 1 means we are only going to look at 2x^2 - x.  factoring we get x(2x - 1) so the zeroes are 0 and 1/2, so the axis of symmetry is at 1/4.

x^2 + 2x - 1 we only use x^2 + 2x.  Factored form is x(x+2) so zeroes are 0 and -2 whichh means axis of symmetry is -1

x^2 - 2x + 1 has the same axis of symmetry as x^2 - 2x, which has zeros at 0 and 2 so the axis of symmetry is at 1.

So yep, it was just the first one.

9514 1404 393

Answer:

  (a)  f(x) = 2x^2 +x -1

Step-by-step explanation:

For ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the offered answer choices, the axes of symmetry are ...

  a) x = -1/(2·2) = -1/4 . . . . . . the function we're looking for

  b) x = -(-1)/(2·2) = 1/4

  c) x = -2/(2·1) = -1

  d) x = -(-2)/(2·1) = 1

The function with axis of symmetry x = -1/4 is f(x) = 2x^2 +x -1.

The gain Renata Corporation got from the sale of equipment is $16420

The tax depreciation method used in the United States is called MACRS, or Modified Accelerated Cost Recovery System. In other words, the method used to determine your business's tax deductions based on the depreciation of your tangible (depreciable) assets is known as MACRS depreciation.

Equipment Book value =

Purchase price - MACRS depreciation

= $328, 400 - $147,780

=$1,80,620

Gain = sale price - Book value

= $197, 040 - $180620

=$ 16420

Gain up to total depreciation is to be treated as ordinary income, that is up to $147, 780. since the gain is $16,420 within depreciation, it is treated as ordinary income.

Renata Corporation has a gain of $16,420 of which $16, 420 is treated as ordinary income due to the section 1245 recapture

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Answer:

1.

\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)

2.

\(x=82.1\)

3.

x = 18°

Step-by-step explanation:

1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle.  When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.

Thus, we can find plug everything into the sine ratio and simplify:

\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)

2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent.  If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side.  Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:

\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)

3. Since we're now solving for an angle, we must using inverse trigonometry.  We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ.  We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side.  Now we can do the inverse trig to find the measure of x:

\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)

The smaller number is 69 and larger number is 83

In mathematics, linear equation of two variable consists of two unknown variable of power one and consonants along with algebraic operation. For example y = x + 2.

Let us assume x be a smaller number.

Larger number can be written as( x + 14 )

According to question,

\(2(x+14)-x=97\)

⇒ \(2x+28-x=97\)

⇒\(x=97-28=69\)

smaller number is 69, then the larger number is

\(x+14=69+14=83\)

Hence, the numbers are 69 and 83.

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Answer: 88°

Step-by-step explanation:

We know that the ratio of ∠DCB : ∠ACD is 3:1. In other words, ∠DCB is \(\frac{3}{3+1}\), or \(\frac{3}{4}\) of the whole angle (i.e., ∠ACB), while ∠ACD is \(\frac{1}{4}\) of the whole angle.

To easily find ∠ACB, which is the sum of both angles, we can add up all the angles of \(\triangle ABC\) and set it equal to 180°.

\(m\angle A + m\angle B + m\angle ACB = 180\\75+53+m\angle ACB=180\\128+m\angle ACB=180\\m\angle ACB=52\)

From here, we can calculate ∠BCD by multiplying the value of ∠ACB by three-fourths.

\(m\angle BCD = \frac{3}{4}(m\angle ACB)\\m\angle BCD = \frac{3}{4}(52)\\m\angle BCD = 39\)

Similar to what we did to get the measure of ∠ACB, we can add up all the angles measures of \(\triangle DBC\) to get the measure of ∠BDC.

\(m\angle B + m\angle BDC + m\angle BCD = 180\\53+m\angle BDC + 39= 180\\92+ m\angle BDC=180\\m\angle BDC = 88\)

The measure of ∠BDC is 88°.

The equation that can be used to find the number of lessons Fred must teach this month for the amount he brings in to equal the amount he spends is: 60n = 114.5 + 45.5 + 20n. So, Fred must teach 0.8 or approximately 1 lesson this month for the amount he brings in to equal the amount he spends.

The expression for the expenses for Fred in a month would be: $114.50 (online advertisements) + $45.50 (website) + $20n (cost of using the pool facilities) = $160n

In a month, Fred earns $60 per lesson. If n is the number of lessons he teaches, then he earns a total of 60n.To find how many lessons Fred must teach this month for the amount he brings in to equal the amount he spends, we can equate the earnings with the expenses and solve for n: 60n = 160n + 100n + 114.5 + 45.5

60n = 160n + 100n + 160

60n = 260n + 160

-200n = 160

n = 160/-200 n = -0.8

Therefore, Fred must teach 0.8 or approximately 1 lesson this month for the amount he brings in to equal the amount he spends.

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Answer:

5/19

Step-by-step explanation:

Marbles=20

So the probability of choosing not yellow is 10/20=1/2.  

Marbles are not replaced.

The total number is 19

The probability of choosing yellow is 10/19

So the final answer is (1/2)*(10/19)=5/19.

hope this helps

Answer:

Area of rectangle =

\(l \times b\)

= 5x *( 5x -4)

=

\( {25x}^{2} - 20x\)

Perimeter of rectangle = 2(l + b)

=2(5x +5x -4)

= 2(10x - 4)

= 20x - 8

Answer:

1.7 g

Step-by-step explanation:

48.80 - 42 = $6.80  g = 4   6.80-4 = 2.80  = 2 4/5 / 4 = 0.7  answer is 1+ 0.7 = 1 .7g

Answer:

$0.98

Step-by-step explanation:

Given data

Cost of sinuses apples = $9.8 for 10 pound

We want to find the cost per pound

Hence

if 10 pounds cost $9.8

  1 pound will cost x

cross multiply

x= 9.8/10

x= $0.98

Hence a pound will cost $0.98

Answer:

it means -4×-6=24 is the answer

Answer:

24

Step-by-step explanation:

So you just multiply 6 times 4 and then they are two negatives so that makes a positive.

Answer:

C

Step-by-step explanation:

Domain is what x values are allowed in a function

The root mean square error (RMSE) is a statistical measurement that tells you the difference between predicted values and actual values.

The RMSE is calculated by taking the square root of the mean of the squared differences between the predicted values and the actual values. In other words, it measures the average deviation of the predictions from the actual values.

The lower the RMSE, the better the predictions are, as it means that the predictions are closer to the actual values. A high RMSE, on the other hand, indicates that the predictions are far off from the actual values.

RMSE is useful in regression problems, where the goal is to predict continuous values, such as prices, temperatures, or stock prices. It helps in evaluating the performance of prediction models, as well as comparing different models.

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Answer:

AC = 8 cm,

AD = 3 cm and ∠ACB = ∠CDA

From figure,

∠CDA = 90°

∴ ∠ACB = ∠CDA = 90°

In right angled ∆ADC,

AC2 = AD2 + CD2

⇒ (8)2 = (3)2 + (CD)2

CD2 = 64 – 9 = 55

⇒ CD = √55 cm

In ∆CDB and ADC.

∠BDC = ∠AD [each 90°]

∠DBC = ∠DCA [each equal to 90°-∠A]

∴ ∠CDB ∼ ∆ADC

Then,

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

Work Shown:

EI = EG

3y-10 = 2y

3y-10-2y = 0

y-10 = 0

y = 0+10

y = 10

Note how if y = 10, then

Both EI and EG are 20 units long when y = 10. This confirms the answer.

There are six possible interactions in a 2 × 3 factorial ANOVA. The correct option is (d) 6.

In a 2 × 3 factorial ANOVA, there are two factors, each with two levels and three levels, respectively. The number of interactions that can be observed in a factorial ANOVA is determined by the product of the number of levels of each factor.

In this case, the first factor has two levels, and the second factor has three levels.

Therefore, the number of possible interactions is given by multiplying the number of levels of the first factor by the number of levels of the second factor: 2 × 3 = 6.

Each interaction represents a unique combination of the levels of the two factors.

For example, one interaction might represent the effect of the first factor at the first level interacting with the second factor at the first level, while another interaction might represent the effect of the first factor at the second level interacting with the second factor at the third level, and so on.

Therefore, the correct answer is d. 6, as there are six possible interactions in a 2 × 3 factorial ANOVA.

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Answer:

7.5 or 7 1/2yards

Step-by-step explanation:

I believe that this is a simple 2.5*3 equation making the answer 7.5, because she has 3 sisters and you can guess that it is a blanket per sister, which makes it 3 blankets and each blanket is 2.5 yards so you multiply the two to see how much material you need.

Answer:

The answer is 7.5

Step-by-step explanation:

Multiply the 2.5 times 3 and you get 7.5

hope this helps <3

Answer:

11

Step-by-step explanation:

The required answers ar(a)P = $2,000,r = 4.5%,n = 2 (b)$ 2985.17, (c) 4.45%

(A) Using the given information, we can identify the following values:

P = $2,000 (the present value or initial deposit)

r = 4.5% (the annual percentage rate)

n = 2 (the number of times per year that interest is compounded, since it is compounded semi-annually)

(B) To find the future value of the account balance after 9 years, we can use the formula:

\(S(t) = P(1 + r/n)^{nt}\)

where t is the time in years. Substituting the given values:

\(S(9) = $2,000(1 + 0.045/2)^{2*9}= $2,000(1.0225)^{18}\)

= $2,000(1.505016)

= $2985.17

Therefore, Monique will have $$2985.17 in the account in 9 years.

(C) The annual percentage yield (APY) takes into account the effect of compounding on the effective interest rate. It is calculated as:

\(APY = (1 + \frac{r}{n})^n - 1\)

Substituting the given values:

\(APY = (1 + 0.045/2)^2 - 1\)

= 0.0445 or 4.45%

Therefore, the annual percentage yield for the savings account is 4.45% rounded to 3 decimal places.

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