15:PLEASE HELP Write 32 as a power of the base2

Answer:

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

Rational numbers are numbers that can be written as the quotient or fraction of two integers, and this contain a numerator and a denominator which is non-zero number.All rational numbers are real numbers and all integers are real numbers as well.

A natural numbers are the positive integers which is also referred to as non-negative integers, examples include 2, 200, 3, 4, 5, 156 .. ∞. we can say natural numbers are a set of all the whole numbers.

These numbers are enclosed by integers, which comprise some negative numbers such as -18, -9, -183 and so on.

In addition, an integers are also enclosed by rational numbers, which comprises terminating decimals such as 8.34, 3.44,15.7543,4.075421 and so on.

With the given terminating decimal between -3.14 and -3.15, It can be deduced that rational numbers contain integers,since integers also include negative numbers because integer are numbers that is devoid without of any fractional component

Answer:

d

Step-by-step explanation:

The number of different sets of three points of this grid can be the three vertices of an isosceles triangle is 36.

An isosceles triangle is one with two equal sides. The two angles that face the two equal sides are also equal. An isosceles triangle, in other words, is a triangle whose two sides are equal in length.

By using the Permutation formula,

Number of isosceles triangle to be formed is,

9!/(7!x2!) = 9x8x7!/7!x2!

= 9x8/2

= 36

So number of isosceles triangle that can be formed of this 3-by-3 grid is 36.

When a square is described as a 3 x 3 Magic square, it has three rows and three columns. An illustration of a 3 by 3 magic square with the magic constant.

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To fill the rectangular prism we need 1 cube.

To find the number of cubes needed to fill the rectangular prism, we can calculate the volume of the prism and divide it by the volume of a single cube.

The volume of the rectangular prism is given by the formula:

Volume = Length × Width × Height

Substituting the given values:

Volume = 8 in. × 4 in. × 21 in.

Volume = 672 in³

The volume of a cube is given by the formula:

Volume = Edge Length³

Substituting the given edge length:

Volume of a cube = (14 in.)³

Volume of a cube = 2744 in³

Now, we can divide the volume of the prism by the volume of a single cube to find the number of cubes needed:

Number of cubes = Volume of prism / Volume of a single cube

Number of cubes = 672 in³ / 2744 in³

Calculating this division gives:

Number of cubes ≈ 0.245

Since we cannot have a fraction of a cube, we need to round up to the nearest whole number. Therefore, we would need 1 cube to fill the rectangular prism.

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Answer:

\(m=\frac{1}{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Random Point (2, 1)

Origin (0, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

The number that needs tο be added tο cοmplete the square is 90.25.

In algebra, a quadratic equatiοn is any equatiοn that can be rearranged in standard fοrm as where x represents an unknοwn value, and a, b, and c represent knοwn numbers

Tο cοmplete the square fοr the quadratic equatiοn x² - 19x + 23 = 0, we need tο add a number that is equal tο half οf the cοefficient οf x (which is -19) squared.

Sο,

(-19/2)² = 90.25

Therefοre, we need tο add 90.25 tο bοth sides οf the equatiοn:

\(x^2 - 19x + 23 + 90.25 = 90.25\)

Then we can rewrite the left side as a perfect square:

\((x - 9.5)^2 = 90.25\)

Now we can take the square root of both sides to solve for x:

x - 9.5 = ±√(90.25)

x = 9.5 ± 9.5√(2)

Hence, the number that needs to be added to complete the square is 90.25.

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Answer: 90.25

Step-by-step explanation:

An experiment can show that all angles of a rectangle are equal and angles.

To verify experimentally that all angles of a rectangle are equal and right angles, you can perform the following steps:

Through these steps, you can verify experimentally that all angles of a rectangle are equal and right angles.

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Answer:

Step-by-step explanation:

(x-2)(2x+3)(x+1)

=x(2x+3)-2(2x+3)(x+1)

=(2x^2+3x-4x-6)(x-1)

=(2x^2-x-6)(x-1)

=2x^2(x-1)-x(x-1)-6(x-1)

=2x^3-2x^2-x^2+x-6x+6

=2x^3-3x^2-5x+6

( x - 2 )( x + 1 )( 2x + 3 ) =

( x^2 - x - 2 )( 2x + 3 ) =

2x^3 - 2x^2 - 4x + 3x^2 - 3x - 6 =

2x^3 + ( -2 + 3 )x^2 + ( - 4 - 3 )x - 6 =

2x^3 + x^2 - 7x - 6

Answer:

16.12 units

Step-by-step explanation:

distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(8 - 10)² + (7 + 9)²]

d = √[(-2)² + (16)²]

d = √[4 + 256]

d = √260

d = 16.12

Answer:

f with an exponent of 4 f to the 4th power

Step-by-step explanation:

there are four f's multiplied by each other and an exponent just shows how many of a certain thing is multiplied by itself so if I had two to the third power it would be 2 times 2 times 2 so in the equation it has 4S multiplied by each other so it would be f to the 4th power

Answer:

12.56

Step-by-step explanation:

143.45+22.55=157.00

157×.08= 12.56

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

When the sides are the same then the triangles are congruent.

Identical lines through the sides of a triangle indicate that the sides are congruent.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

Congruent triangles are two triangles that are identical in terms of size and shape. One of two congruent triangles remains congruent even if it is rotated, flipped, or turned. Two triangles must have the same sides in order for them to have the same angles and, as a result, to be congruent.

Thus, identical lines through the sides of a triangle indicate that the sides are congruent.

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Hey there! :)

Answer:

m∠y = 55°.

Step-by-step explanation:

Begin by solving for x since y and x are supplementary angles.

Recall that all of the angles in a triangle must sum up to 180°. Therefore:

180 - 30 - 25 = 125°.

x = 125°, therefore:

180 - 125 = 55°.

m∠y = 55°.

Answer:

55 Degrees

Step-by-step explanation:

The remote interior angle theorem states that to find the value of and exterior angle (y) you need to add the two remote interior angles. (25&30)

Answer:

swim bike and run.

Step-by-step explanation:

Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

Answer:

24ft

Step-by-step explanation:

Pythagorean Theorem!!

\(a^2 + b^2 = c^2\)

------------------------

In this case, the ladder is c, and the base is b.

------------------------

Plug the numbers in the formula.

\(a^2 + 7^2 = 25^2\)

------------------------

Solve.

\(a^2 + 49 = 625\)

\(a^2 -49 = 625 - 49\)

\(a^2 = 576\)

\(\sqrt{a^2} = \sqrt{576}\)

\(a = 24\)

Answer:

D

Step-by-step explanation:

The statement that is also true is: \(\triangle QRS \cong \triangle YZX\)

The congruence statement is given as:

\(\triangle QSR \cong \triangle YXZ\)

The above statement means that, we have the following corresponding points

The above highlights mean that:

Triangle QSR corresponds to triangle YXZ

It also means that:

Triangle QRS corresponds to triangle YZX

Hence, the correct congruency statement is: \(\triangle QRS \cong \triangle YZX\)

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Step-by-step explanation:

a) write 2 2/3 as an improper fraction in its simplest form....

\( = 2 \frac{2}{3} \\ \)

\( = \frac{2 \times 3 + 2}{ 2} \\ \)

\( = \frac{8}{2} \\ \)

\( = \frac{8 \div 2}{2 \div 2} \\ \)

\( = \frac{4}{1} = 4 \\ \)

B) Work out 2 2/3 x5 give your anwser as an improper...

\( = 2 \frac{2}{3} \times 5 \\ \)

\( = \frac{2 \times 3 + 2}{3} \times 5 \\ \)

\( = \frac{8}{3} \times 5 \\ \)

\( = \frac{40}{3} \\ \)

The profit margin made by True Blue Vintage Toy Company is; 0.3 or 30%

A profit margin is defined as a profitability ratio that can tell you whether a company makes money. It highlights what portion of the company's sales have turned into profits or how many cents per dollar it generates per sale.

Now, the parameters given are;

Selling price = #40

Profit = $12

Thus;

Cost price = 40 - 12 = $28

Profit margin = (40 - 28)/40

= 0.3 or 30%

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Answer: Your welcome!

Step-by-step explanation:

Expanded form: 7.4 x 10-4 cm

Exponential form: 7.4E-4 cm

Expanded form is when a number is written as the sum of its digits multiplied by their respective powers of 10. In this case, the number is 7.4 x 10-4, which means that 7.4 is multiplied by 10 to the power of -4.

Exponential form is when a number is written as a base number times a power of 10. In this case, the number is 7.4E-4, which means that 7.4 is multiplied by 10 to the power of -4.

Answer:

4,899

Step-by-step explanation:

The computation is shown below:

Given that

In the year 2010, the population of the city was 69,000

From 2010 to 2015 the population would be grow by 7.1%

So, in the year 2015, the population is

= 69,000 + 69,000 × 7.1%

= 69,000 + 4,899

= 73,899

Now the growth would be

= 73,899 - 69,000

= 4,899

Answer:

Multiply 1/3 with the numbers in the parenthesis and evaluate

Step-by-step explanation:

When dividing the period from 1993-2015 into three distinct periods based on the rate of growth of average student debt, one possible approach could be:

1. 1993-2003: Slow and steady growth
During this period, the rate of growth of average student debt was relatively stable and moderate. The increase in student debt was gradual, and the overall burden on students was not as pronounced as in later periods. For example, the average student debt may have increased by a few thousand dollars over these ten years.

2. 2003-2008: Accelerated growth
In this period, the rate of growth of average student debt started to accelerate. The increase in student debt became more significant, potentially due to factors such as rising tuition costs, increased borrowing, and changes in financial aid policies. For example, the average student debt may have doubled or tripled during this five-year period.

3. 2008-2015: Rapid and substantial growth
The period from 2008 to 2015 witnessed a sharp and substantial increase in the rate of growth of average student debt. This period corresponds with the aftermath of the 2008 financial crisis and its impact on the cost of education. The economic recession led to reduced financial support for higher education, resulting in higher borrowing rates for students. For example, the average student debt may have increased by tens of thousands of dollars or even more during this seven-year period.

It's important to note that the division of periods may vary based on the specific data and factors considered. The examples provided are meant to illustrate potential trends rather than represent precise figures. Additionally, it's crucial to consult reliable sources and data on average student debt to obtain accurate information for a comprehensive analysis of the topic.

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The total number of bit strings of length 10 over the alphabet {a,b} that have exactly four a's and start with bb or end with bb is 510.

To solve this problem, we can use the principle of multiplication and addition.

First, we need to find the number of bit strings of length 10 with exactly four a's. We can place the four a's in any of the 10 positions, so we have 10 choose 4 (or 10C4) ways to do this. For each of these arrangements, the remaining six positions must be filled with b's, so there is only one way to do this.

Therefore, there are 10C4 = 210 bit strings of length 10 with exactly four a's. Next, we need to count the number of bit strings that start with bb or end with bb.

For bit strings that start with bb, the remaining eight positions can be filled with any combination of a's and b's, so there are 2^8 = 256 such bit strings.

Similarly, for bit strings that end with bb, the first eight positions can be filled with any combination of a's and b's, so there are also 256 such bit strings.

However, we have counted the bit string bbbbbbbbb and bbbaaaaaaa twice (once for each case). Therefore, we need to subtract 2 from the total count.

Thus, the total number of bit strings of length 10 over the alphabet {a,b} that have exactly four a's and start with bb or end with bb is 256 + 256 - 2 = 510.

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Answer:

C=2v

Step-by-step explanation:

because 0*2=0 1*2=2 2*2=4 3*2=6 4*2=8 5*2=10 so C=2v

Using the formulas

C = 2πr

d = 2r

Solving for 'd' (diameter)

d = C

π = 60

π ≈ 19.09859cm

Answer:

C=pi x diameter

60 = pi x diameter

÷pi

Diameter is 60/pi which is 19.1cm to 1d.p

Hope this helps!

Answer: 12 : 1

Step-by-step explanation: Students : Faculty

Answer:

what is your question?

Answer:

28

Step-by-step explanation:

The angle mBFD inscribes the arc mBD, so we have that:

mBFD = mBD/2

76 = mBD/2

mBD = 152°

The angle mBOD is a central angle related to the arc mBD, so we have that:

mBOD = mBD = 152°

In the quadrilateral BODC, the sum of internal angles needs to be equal to 360° (property of all convex quadrilaterals). The angles mCBO and mCDO are right angles, because EDC and ABC are tangents to the circle.

So, we have that:

mBOD + mCDO + mBCD + mCBO = 360

152 + 90 + mBCD + 90 = 360

mBCD = 360 - 90 - 90 - 152

mBCD = 28°

Therefore the answer to when math classroom of 30. the students affected by the disease is modeled by the logistic function is first case : 6 , second case : 15.68  and third case : 5.18

A function is a particular relation that transfers every element in set A to exactly one element in set B. There cannot be an empty set in either A or B. For a specific input, a function defines a specific output.

Here ,

Given:

P(t) =  \(\frac{180}{5 + 25e^{-0.45t} }\)

First case :how many students understand exponential functions initially is

Where t is number of days

t=0

P(0)= \(\frac{180}{5 + 25e^{-0.45(0)} }\)

P(0)=180/(25+5)

P(0)=6

Second case: how many students will understand exponential functions after 3 days

t=3

P(3)=\(\frac{180}{5 + 25e^{-0.45(3)} }\)

P(3) ≈ 15.68

Third case: how many days will it take for 24 students to understand exponential functions

t=24

P(24)=\(\frac{180}{5 + 25e^{-0.45(24)} }\)

P(24)  ≈ 5.18

Therefore the answer to when math classroom of 30. the students affected by the disease is modeled by the logistic function is first case : 6 , second case : 15.68  and third case : 5.18

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