i am stuck on this question

Answer:

the answer is x= 5 and y = 1.5

Here we have been given with two equations and we will solve them by elimination by substitution method inorder to get the value of x and y.

★ From Equation No 2 :-

>> x + 2y = 8

>> x = 8 - 2y

★ In Equation No 1 :-

Substituting here the value of x which we got above as (8 - 2y).

>> 5x - 4y = 19

>> 5 (8 - 2y) - 4y = 19

>> 40 - 10y - 4y = 19

>> 40 - 14y = 19

>> -14y = 19 - 40

>> -14y = -21

>> 14y = 21

>> y = 21 / 14

>> y = 1.5

★ Finding out value of x :-

>> x = 8 - 2y

>> x = 8 - 2 (1.5)

>> x = 8 - 2 × 1.5

>> x = 8 - 3

>> x = 5

The total area of the room and the sitting area is 286.93 ft².

We have,

The area of the rectangle.

= Length x Width

= 15 x 14

= 210 ft²

Semicircle.

r = 14/2 = 7 ft

= 1/2 x πr²

Area = 1/2 x 3.14 x 7²

= 1/2 x 3.14 x 49

= 76.93 ft²

Now,

The total area of the room and the sitting area.

= 210 + 76.93

= 286.93 ft²

Thus,

The total area of the room and the sitting area is 286.93 ft².

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Answer:

y=-3/2+6 (slope is -3/2)

Step-by-step explanation:

Find a point and use the rise/run method.

You go up 3 and left 2. This makes your slope

The b is 6 because that's where the line hits the y-axis

Answer:

3.78%

Step-by-step explanation:

The formula for compound interest is given by:

A(t) = P(1 + r/n)^(nt), where

Thus, we can plug in 8500 for P, 11022 for A(t), 1 for n, and 7 for t to find r:

Step 1:  Plug in the values and simplify:

11022 = 8500 * ( 1 + r/1)^(7 * 1)

11022 = 8500 * (1 + r)^(7)

Step 2:  Divide both sides by 8500:

(11022 = 8500 * (1 + r)^(7)) / 8500

11022/8500 = (1 + r)^(7)

5511/4250 = (1 + r)^(7)

Step 3:  Raise both sides to the 1/7 power (this is the same as taking the 7th root of both sides):

(5511/4250 = (1 + r)^(7))^(1/7)

1.037815641 = 1 + r

Step 4:  Subtract 1 from both sides to find r:

(1.037815641 = 1 + r) - 1

0.0378154607 = r

Step 5:  Multiply 0.0378154607 by 100 to find the interest rate as a percentage:

0.0378154607 * 100

3.78156407 = %

Step 6:  Round to the nearest two decimal places:

3.78

Thus, the interest rate is about 3.78%

The amount of money that I will have at the end of 20 years would be =$4,480. That is option D

Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.

The total amount invested (p)= $2,000

The rate of investment (r) = 5%

The time of investment(t)= 12 year

The compound interest warm from that account;

= P×T×R/100.

= 2,000×12×5/100

= 120000/100

= $1200

For the next 8 years with the rate of 8% ;

= 2,000×8×8/100

= 128000/100

= $1280

The total compound interest = $1200+$1280= $2,480

Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480

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Answer: \(x=\frac{5 \pm \sqrt{53}}{2}\)

Step-by-step explanation:

\(x^2 - 5x-7=0\\\\x=\frac{-(-5) \pm \sqrt{(-5)^2 - 4(1)(-7)}}{2(1)}\\\\x=\frac{5 \pm \sqrt{53}}{2}\)

Answer: I believe its B

Please check before ok

hope this helped <3

For an analysis of variance comparing four treatments, msbetween = 12. The value of ssbetween is 36.

A measure of variability is the variance. It is determined by averaging the squared deviations from the mean. Your data set's variability is shown by its variance. The variance is greater in respect to the mean when the data are more dispersed.

Finding the mean will allow you to compute the population's variance (the average). Squaring the result after deducting the mean from each data point in the sample. The outcomes are squared to make the adverse findings positive.

Data points' deviations from the mean are quantified by their variance. Layman defines variance as the degree to which a set of data (numbers) deviates from the mean (average) value.

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Answer:

Below

Step-by-step explanation:

Amount borrowed = x

Amount owed to bank at end of 1 year = 1.04 x

Manish lent out x   then the  amount owed to him

           at end of 1 year =  x (1 + .06/2)^2 = 1.0609x

GAIN =  1.0609x  - 1.04x   = 104.5    solve for x = 5000.  Rs

The amount that Manish borrowed from the bank​ is ₹5000.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

If borrowed is ₹100 compound interest is ₹104

So, interest to be paid is 4.

If the shopkeeper got ₹100 then 6 months interest is 3 and next 3 months interest is ₹3.09 so interest to be paid is ₹6.09

Difference 6.09-4=2.09

If ₹2.09 is the difference principle is ₹100

₹104.50 is the difference the principle = (100×104.50)/2.09

= ₹5000

Therefore, the amount that Manish borrowed from the bank​ is ₹5000.

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The slope of a line that passes through the point (-3,0) and has a y-intercept of 12 is 4.

Using the point slope equation,

y = mx + b

where

Therefore, using (-3, 0)

0 = -3m + 12

-12 = -3m

divide both sides by -3

m = -12 / -3

m = 4

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Answer:  \(\frac{2}{9}\)

Step-by-step explanation:

\(\frac{\sqrt{4} }{3^{3} }\)
The square root of 4 can be written as 2
3 to the third power can be written as 9

So, the answer is \(\frac{2}{9}\)

Given:

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

We know that, the sum of all exterior angles of a quadrilateral is always 360 degrees.

The below figure represents the four exterior angles of the quadrilateral. So,

\(65^\circ+106^\circ+78^\circ+x^\circ=360^\circ\)

\(249^\circ+x^\circ=360^\circ\)

\(x^\circ=360^\circ -249^\circ\)

\(x^\circ=111^\circ\)

Therefore, the measure of x is \(111^\circ\).

Answer:

2

Step-by-step explanation:

|x| + |x-2| =

Let x= 1

|1| + |1-2| =

|1| + |-1| =

The absolute value means take the non negative value

1 + 1 = 2

Answer:

13

Step-by-step explanation:

The derivative of the function \(g(x) = ∫[1, x^3] t^3 dt is g'(x) = (3/4) x^11.\)

To find the derivative of the function \(g(x) = ∫[1, x^3] t^3\)dt using the Fundamental Theorem of Calculus, we can apply Part 1 of the theorem, which states that if the function g(x) is defined as the integral of a function f(t), then its derivative g'(x) can be found by evaluating f(x) at the upper limit of integration and multiplying it by the derivative of the upper limit.

In this case, the upper limit of integration is\(x^3\), so we have:

\(g'(x) = d/dx ∫[1, x^3] t^3 dt\)

Using the power rule for integration, we can integrate \(t^3\) to obtain (1/4) \(t^4\). Applying the Fundamental Theorem of Calculus, we have:

\(g'(x) = d/dx [(1/4) (x^3)^4]\)

Simplifying, we get:

\(g'(x) = d/dx [(1/4) x^12]\)

Taking the derivative using the power rule, we have:

\(g'(x) = (1/4) * 12x^(12-1)g'(x) = (3/4) x^11\)

Therefore, the derivative of the function \(g(x) = ∫[1, x^3] t^3 dt is g'(x) = (3/4) x^11.\)

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Answer:

I think the y= (-7)

Answer:

Describes something that does not have width or depth

Step-by-step explanation:

The solution to the inequality is x ≥ -3, which represents all the values of x that are greater than or equal to -3. The correct answer is option (C).

To solve the inequality, we need to isolate the variable x.

-3x - 3 ≤ 6

Add 3 to both sides to get rid of the constant term on the left side.

-3x ≤ 6 + 3

-3x ≤ 9

Divide both sides by -3, remembering that when dividing or multiplying by a negative number, we need to reverse the inequality sign.

x ≥ 9 / -3

x ≥ -3

Thus, the solution to the inequality is x ≥ -3.

Graphically, this represents all the values of x that are greater than or equal to -3.

Thus, the correct answer is option (C).

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Answer:

x=   \(\frac{9}{2} y\) or  y=  \(\frac{2}{9} x\)

Step-by-step explanation:

Solving for (x)

Step 1: Add -3y to both sides.

2x+3y+−3y=12y+−3y

2x=9y

Step 2: Divide both sides by 2.

\(\frac{2x}{2} = \frac{9y}{2}\)

Solving for (y)

Step 1: Add -12y to both sides.

2x+3y+−12y=12y+−12y

2x−9y=0

Step 2: Add -2x to both sides.

2x−9y+−2x=0+−2x

−9y=−2x

Step 3: Divide both sides by -9.

\(\frac{-9y}{9} = \frac{-2x}{9}\)

Answer:

$25

.....................

Answer:

Step-by-step explanation:

To reduce the margin of error to one third of its original size, the sample size needs to be increased by a factor of nine.  

The margin of error in a confidence interval is inversely proportional to the square root of the sample size. Therefore, if we want to reduce the margin of error to one third of its original size, we need to increase the sample size by a factor of three.  

However, since the relationship is quadratic, we need to square the factor. Hence, increasing the sample size by a factor of three squared (nine) will achieve the desired reduction in the margin of error.

In this case, if the original sample size is n=119, to achieve a new margin of error that is only one third as large, we need to increase the sample size to 119 multiplied by nine, which is 1,071. By having a larger sample size, we obtain more data points, which improves the precision of the estimate and reduces the margin of error in the confidence interval.

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Answer:

Step-by-step explanation:

hey watch it fatty

The mean number of children per household for these families is given as follows:

2.4 children per household.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The sum of the observations in this problem is given as follows:

2 x 0 + 11 x 2 + 15 x 3 = 67.

Hence the mean is given as follows:

67/28 = 2.4 children per household.

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Step-by-step explanation:

Since triangle GHJ is rotated 90 degrees about point X, it undergoes a rigid motion, which means that the length and angles of its sides remain unchanged. Therefore, triangle GHJ is congruent to triangle STR, meaning that every side and angle of triangle GHJ is congruent to the corresponding side and angle in triangle STR.

So, the correct congruency statement is:

GHJ ≡ STR (Congruent)

95% confidence that the population means lies between $110.25 ($120 - $9.75) and $129.75 ($120 + $9.75).

To estimate the population mean, we can use the sample mean as an unbiased estimate. Therefore, the estimated population mean is also $120. However, to calculate the margin of error for this estimate, we can use the formula:
The margin of error = (z-score) x (standard deviation / square root of sample size)
Since the population is assumed to be normal, we can use the z-distribution. For a 95% confidence level, the z-score is 1.96. Substituting the given values, we get:
Margin of error = 1.96 x (25 / √64) = 9.75
Therefore, we can say with 95% confidence that the population mean lies between $110.25 ($120 - $9.75) and $129.75 ($120 + $9.75).
It's important to note that this is only an estimate and the true population mean could still be outside of this range. However, with a 95% confidence level, we can be fairly certain that our estimate is accurate within this range.

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

yes

Step-by-step explanation:

its a pretty name

Yes, as long as you like it. (For what it's worth, I think that's a pretty name, and I'm glad you don't want to name a kid something horrendous like Blanket or Apple.)

X is equal to 8 and Y is equal to 3.

A pair that has two values stated in a certain sequence between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane.

Each domain element should have exactly one picture for the function, therefore the newest element in the column of x shouldn't be 6,3,9,7. Thus, we have two options for x = 8 or 12

Taking 8 will allow us to add another to the column on y, making y equal to 3.

thus, x = 8 and y = 3.

When an ordered pair is used, the numbers do not repeat.

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