(3x – 15)º (y + 25)º
105°
Find the value of y.
y=50
y = 80
y = 70
y = 25

The value of s in the equation, s = ut + 1/ 2 at² is 19 / 4.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Therefore, let's solve the value of s in the equation after substituting the values of the other variables.

s = ut + 1/ 2 at²

u = 10

a = -2

t = 1 / 2

Therefore,

s = 10(1 / 2) + 1 / 2 (-2)(1 / 2)²

s = 5 + 1 / 2 (-2)(1 / 4)

s = 5 + 1 / 2 × - 1 / 2

s = 5 - 1 / 4

s = 20 - 1 / 4

s = 19 / 4

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Answer:

A. 5 × ( 3 + 2 + 2 1/4 )

Step-by-step explanation:

Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1/4 -mile path.

The expression represents the total number of miles he biked is calculated as:

The number of times he rode his bike × (sum of the number of miles he biked)

= 5 × ( 3 mile + 2 miles + 2 1/4 miles)

= 5 × (3 + 2 + 2 1/4)

Therefore, Option A is the correct option

Based on the given information, we can conclude that tuition at Penn State has increased more rapidly than inflation.

The price index measures the average change in prices of a basket of goods and services over time. In this case, the price index increased from 207.34 in 2007 to 226 in 2012, indicating an overall inflation rate of approximately 9% over that period. On the other hand, tuition at Penn State increased from $6,142 to $7,562, representing an increase of approximately 23%.

When comparing the rates of increase, we can see that tuition has outpaced inflation. This implies that the cost of education at Penn State has been rising more rapidly than the general increase in prices for goods and services. It suggests that factors specific to the education industry, such as rising costs of resources, facilities, and personnel, have contributed to the higher tuition rates.

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The complete question is:

Assume tuition at Penn State cost $6,142 (per semester) in 2007 and $7,562 in 2012. If the price index was 207.34 in 2007 and 226 in 2012, then we could say:

Since the figure was rotated, the image figure has the same corresponding sides, the thing that changed was the position of the points and the figure but not the length of the sides.

First, we identify corresponding sides (equal sides). This is shown in the following image by drawing corresponding sides in the same color:

As we can see, the length of side AB is equal to the length of side A'B', because they are corresponding sides.

Anwer:

Answer:

11

Step-by-step explanation:

(48/6) x5 = 4x-4

simplify and you get X = 11

Answer:

x=11

Step-by-step explanation:

To find the missing side of the polygon (in this case, 4x-4), find the exact side of the other polygon (which is 48).

To find the side, use the ratio of 6:5-Divide 48 by 6 (8), and then multiply 8 by 5 (40).

So the size of the bottom side of the bottom polygon is 40.

Now, you must find x.

4x-4=40

4x=44

x=11

Hope this helps!

Answer:

The correct answer is 5b²-b-2

Answer:

D

Step-by-step explanation:

2 terms

Answer:

4 weeks

Step-by-step explanation:

Wyatt's equation:

t=14w+40

Julian's equation:

t=19j+20

Since both equations equal the same thing, or t, we can equal them against each other as 1 equation

14t+40=19t+20

(subtract 20 from both sides)

14t+20=19t

(subtract 14t from both sides)

20=5t

(divide both sides by 5)

t=4 weeks

Answer:

7 cats

Step-by-step explanation:

if each cat needs 0.23 pounds of food, then she can feed 1.61/0.23 = 7 cats

Non-overlapping intervals:

If the intervals(say interval a & interval b) doesn't overlap then the set of pairs form by [a. end, b. start] is the non-overlapping interval.

In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between. Other examples of intervals are the set of numbers such that 0 < x < 1, the set of all real numbers {\displaystyle \mathbb {R} }\mathbb {R} , the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton (set of one element).

Let's take the below mentioned overlapping intervals example to explain the idea: If both ranges have at least one common point, then we say that they're overlapping. In other words, we say that two ranges and are overlapping if: On the other hand, non-overlapping ranges don't have any points in common.

Given N set of time intervals, the task is to find the intervals which don’t overlap with the given set of intervals.

Examples:

interval (a) = { {1, 3}, {2, 4}, {3, 5}, {7, 9} }

Output:  [5, 7]

The only interval which doesn’t overlaps with the other intervals is [5, 7].

interval (a) = { {1, 3}, {9, 12}, {2, 4}, {6, 8} }

Output: [4, 6]  and [8, 9]

There are two intervals which don’t overlap with other intervals are [4, 6], [8, 9].

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Answer:

355 plus the amount of d will be greater than or equal to 575

Step-by-step explanation:

6(8-2x)=4x

First, apply distributive property:

6 (8)+ 6 (-2x) = 4x

48-12x =4x

Move the "x" terms to the right:

48 = 4x+12x

Combine like terms

48 = 16 x

Divide both sides of the equation by 16:

48/16 = 16x/16

3 = x

x = 3

Answer:

d = -5.9

Step-by-step explanation:

Answer:

d=-5.9

Step-by-step explanation:

I hoped this helped in your desperate timez

The area of the square is 25ft² and the perimeter is 20ft.

It's important to note that the area of a square is calculated as:

= Side ²

The perimeter is calculated as:

= 4 × Side

From the information given, the side is 5ft. The area will be:.

= 5 × 5

= 25ft²

The perimeter will be:

= 4 × Sode

= 4 × 5ft.

= 20 feet

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Understanding:

This can be easily solved by using the distance formula which is

\(d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }\\\)

\(d:\) distance

\((x_{1},y_{1}):\) coordinates of the first point, in our case it is \((1,-5)\)

\((x_{2},y_{2}):\) coordinates of the second point, \((4,-1)\)

Solution:

\(d=\sqrt{[(4)-(1)]^{2}+[(-1)-(-5)]^2}\\=\sqrt{(3)^2+(4)^2}\\= \sqrt{9+16} \\=\sqrt{25}\\= 5\)

The distance between the two points is 5.

The woman has €123,750 left after paying taxes.

To calculate how much the woman has left after paying taxes, we need to determine her taxable income and then subtract the tax amount.

The woman earns €150,000 per annum and is allowed a tax-free pay of €45,000. This means that her taxable income is the difference between her total income and the tax-free allowance:

Taxable Income = Total Income - Tax-Free Pay

= €150,000 - €45,000

= €105,000

Next, we need to calculate the tax amount based on the taxable income. The woman pays 25 cents per euro as tax on her taxable income, which can be expressed as a tax rate of 25%.

Tax Amount = Tax Rate * Taxable Income

= 0.25 * €105,000

= €26,250

Finally, we can determine the amount the woman has left after paying taxes by subtracting the tax amount from her total income:

Amount Left = Total Income - Tax Amount

= €150,000 - €26,250

= €123,750

Therefore, the woman has €123,750 left after paying taxes.

It is important to note that tax calculations can vary depending on the specific tax laws and regulations in a particular jurisdiction. The above calculation assumes a tax rate of 25% and does not take into account any additional deductions or credits that may apply.

It is always advisable to consult with a tax professional or refer to the tax laws in the relevant jurisdiction for accurate and up-to-date information regarding tax calculations.

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Answer: The point estimate for this population proportion is 0.2

Step-by-step explanation:

The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 40

p = 40/200 = 0.2

Answer:

Step-by-step explanation:

nonlinear ig?

The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

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The first 3 terms of the sequence are 21, 24 and 29

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

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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The iterated integral evaluates to approximately 37.45.

To evaluate the iterated integral ∫(from 0 to 3) ∫(from 0 to 9) y*cos(x) dy dx:

1. Start with the inner integral, which is with respect to y: ∫(from 0 to 9) y*cos(x) dy. Integrate y, giving (1/2)y^2*cos(x). Evaluate this from y=0 to y=9, resulting in (1/2)*81*cos(x).

2. Now, move to the outer integral, which is with respect to x: ∫(from 0 to 3) (1/2)*81*cos(x) dx. Integrate cos(x), giving 40.5*sin(x). Evaluate this from x=0 to x=3, resulting in 40.5*(sin(3) - sin(0)).

3. Finally, calculate the value: 40.5*(sin(3) - 0) ≈ 37.45.

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s orbital mentioned

Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10

Rule for electron in nth shell=2n²

Answer:

pat is 62

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

$400

Step-by-step explanation:

y= 320×(1+0.25)=400

Answer:

Convert the percentage to a fraction by placing the expression over 100. Percentage means 'out of 100'.

5/100 Cancel the common factor of 5 and 100.  1/20

Convert the fraction to a decimal by dividing the numerator by the denominator. 0.05 => 0.05 raise

Step-by-step explanation:

Answer:

3rd answer

Step-by-step explanation:

It is an open circle and it has to be less than 15 and since it is a positive it is to the right

Answer:

3n-6>5

3n>5+6

3n>11

n>11/3

n>3.6

Answer:

n < 1/3

Step-by-step explanation:

-3(n-2) > 5

-3n + 6 > 5

-3n > 5 - 6

-3n > -1

n > -1/-3 (flip the sign of the inequality because you divided by a negative number)

Hence, n < 1/3 OR n < 0.333

Answer:

a

Step-by-step explanation: