*27. Jane has -$30 in her bank account, her electric company charges her her monthly bill of
$128 and her bank charges her an overdraft fee of $15. What is the balance of her account
now?

Triangles A and triangle E is the right angle triangle, and triangles B, C, and D are not right-angle triangles.

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We know the Pythagoras theorem:

\(\rm Hypotenuse^2= perpendicular^2+base^2\)

Applying in Pythagoras theorem in the triangle A:

\((\sqrt{5})^2= (\sqrt{3})^2 +(\sqrt{2} )^2\)

5 = 5

Triangle A is the right-angle triangle.

For triangle B:

(√5)² = (√4)²+ (√3)²

5 ≠ 7

Triangle B is not the right-angle triangle

Similarly for triangle C:

16 + 25 ≠ 36

Not a right-angle triangle

For  triangle D:

25 + 25 ≠ 49

Not a right angle triangle

For triangle E:

100 = 36 + 64

It is a right-angle triangle.

Thus, triangles A and triangle E is the right angle triangle, and triangles B, C, and D are not right-angle triangles.

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Answer:

5

Step-by-step explanation:

3.14159265

Answer:

5

Step-by-step explanation:

3.14159265

5 is the 8th decimal point of π

Answer:

3x+6

Step-by-step explanation:

(x+2)3

3(x)+3(2)

3x+6

Answer:

4/1 = 2240/x

Step-by-step explanation:

students : parking spaces = 4 : 1

4/1 = 2240/x

Answer:

4/1 = 2240/x

Step-by-step explanation:

pls tell me if wrong have a good day/night<3

Answer:

2.75

hope you get a 100!!

We have a right triangle with hypotenuse 38 and leg 34.

We want to find the other leg.

We use the Pythagorean Theorem:

Answer: 101

Step-by-step explanation: 1+5x20 then 100+1= 101

9x + -31 = 43

-31 + 9x =43

-31 + 9x =43

Add '31' to each side of the equation .

0 + 31 +9x = 43 + 31

-31 + 31 =0

0 + 9x = 43 +31

9x = 43 + 31

43 + 31 =74

9x = 74

x = 8. 222222222

x = 8.222222222

Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

Answer:

S(4) = 2

Step-by-step explanation:

S(n) = n(n - 3) / 2

S(4) = 4(4 - 3) / 2

= 4 x 1 / 2

= 4/2

= 2

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

The reciprocal of the divisor: Reciprocal and division of fractions are two different methods. When the numerator and denominator of a fraction are interchanged, then it is said to be its reciprocal. Suppose a fraction is a/b, then its reciprocal will be b/a. A fraction is a numerical quantity that is not a whole number.

The reciprocal of the divisor 5 1/5 divided by 1/10

To the reciprocal of the divisor.

Equation: 5 1/5 divided by 1/10

1st: Flip the 1/10 to become 10/1

2nd: Change division to multiplication

New equation: 5.1/5.10/1

⇒ 50/5

       ⇒ 10.

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

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Answer:

d. 85%

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The higher the confidence level, the higher the value of z, which means that the margin of error will be higher and the interval will be wider,

Which confidence interval would be the narrowest?

The one with the lowest confidence level. So the answer is d.

The scientific notation is \(3.7 \times10 ^8\) in a blood volume of 60 ml. Take note that the power of 10 is evaluated using the product of power property.

The reliability of a value, which is frequently an estimation affected by the item's decimal bit count. Beginning with the first non-zero digit, count the decimal places.

Up to the quel decimal place, all zeros are allowed. For example, the number 0.0079800 has five three-digit digits. When present, any digits to the right of the measurement's final non-zero number are required. equivalently increases an integer by three significant digits and three places.

After three, move upward, and start measuring at the first non-zero digit. The final digit must then be removed. The last two numbers are multiplied by zeros to the right of the decimal point.

given

If there are 6,200,000 red blood cells per cubic millimeter of blood,

then there are

\(60 \times 6,200,000=60 \times 6.2 \times 10^ 6=372 \times 10^6\)

= \(3.7 \times10 ^8\)

= \(3.7 \times10 ^8\) in a blood volume of 60 ml. Take note that the power of 10 is evaluated using the product of power property.

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The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

1.42 liters is the correct answer

-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

Answer:

25/2 I believe

Step-by-step explanation:

Inequalities are used to represent unequal expressions.

The inequality is \(24 + 8R \ge 100\)

The given parameters are:

\(Paid = 24\)

\(Rolls = 12\)

\(Cost = 8\) --- the unit cost per roll.

Assume the number of additional roll is R.

So, the total number of sushi is:

\(Total=Paid + Cost \times R\)

This gives

\(Total=24 + 8\times R\)

Multiply 8 and R

\(Total=24 + 8R\)

The sushi needed is at least 100.

This implies that:

\(Total \ge 100\)

So, we have:

\(24 + 8R \ge 100\)

Hence, the inequality is \(24 + 8R \ge 100\)

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Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer: B

Step-by-step explanation:

'Product' means to multiply, in this case, we are multiplying 50 and n.

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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Numbers can be represented using the place value system

The number 22 thousands, 22 hundreds, 222 tens represents 26420

The number is given as:

22 thousands, 22 hundreds, 222 tens

Rewrite the number as:

22 thousands + 22 hundreds + 222 tens

Express the place values as figures

22 * 1000 + 22 * 100 + 222 * 10

Evaluate the product

22000 + 2200 + 2220

Evaluate the sum

26420

Hence, 22 thousands, 22 hundreds, 222 tens represents 26420

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Answer:

x=2

......

Step-by-step explanation:

x=3+1/x

x^2=4

x=2

Answer:

Step-by-step explanation:

when a number x is added to it's square, the total is 12. find two possible values of x

x+x^2=12

x^2+x=12

x^2+x−12=12−12

x^2+x−12=0

(x−3)(x+4)=0

x−3=0 or x+4=0

x=3 or x=−4

x=3 or x=−4

Answer:22

Step-by-step explanation:

20 20 20 22 22 24 26 26 26

22 is in the middle, which is the median.

Answer:

"A translation of 7 units to the left followed by a translation of 1 unit down".

Step-by-step explanation:

There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.

Suppose that we have the point (a, b) which is transformed into (a', b')

Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.

(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).

Here we have the point A (3, 4) transformed into (-4, 3)

Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.

Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.

Then we can write this transformation as:

"A translation of 7 units to the left followed by a translation of 1 unit down".

1) Note that the result of the above highlighted 10 by 10 block of units in the fraction are:

10/100; and

1/ 10.

2) In decimal, that would be:

0.1

3) In part-to-part ratio it would be:

10:90

4) In Part to whole ratio 10/100

5) In whole to part, that would be:

100:10

5) In percent, that would be 10%

A part-to-whole ratio compares a part to the total of all parts. For example, if you have 100 apples and you want to know what percentage of them are red, you would express the number of red apples as a ratio of the total number of apples. In this case, 10 red apples would be expressed as a ratio of 10:100

A part-to-part ratio compares two or more quantities in terms of their relative sizes. For example, if you have 100 apples and you want to know how many more red apples than green apples you have, you would express the number of red apples and the number of green apples as a ratio of each other. In this case, if you have 30 red apples and 20 green apples, the ratio would be 30:20

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Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Step-by-step explanation:

I calculated it logically

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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