True or False: Only fractions with a denominator greater than the numerator can be converted to a decimal.
А
True
B
False

Answer:

nejejej jjejejejje Brazil

Area of shape 1:

Area of triangle = 1/2 × b × h

Area of triangle = 1/2 × 6 × 8

Area of triangle = 24 cm²

Area of shape 2:

Area of Semicircle = πr²/2

Radius of Semicircle = Diameter / 2

Radius of Semicircle = 3 cm

Then,

Area of semicircle = π(3)²

Area of semicircle = 9π cm²

Total Area = Area of semicircle + Area of triangle

Total Area  = (24 + 9π) cm²

Total Area = 52.27 cm² .

Hence Total area of the figure combining triangle and semicircle is 52.27 cm².

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Answer:

yes

Step-by-step explanation:

see attached graph - there are two real roots for y=2x^4-6x^2+10x-7

so 2x^4-6x^2+10x-7 can be expressed as:

(x - root1)(x - root2)(2x^2+Bx+C)

Answer:

Yes, it can be.

Step-by-step explanation:

Using solver program, the expression 2x^4-6x^2+10x-7 has:

two real roots at x≈-2.3888 and x≈1.1424

and

two complex roots at x≈0.62321 - 0.94559 i and x≈0.62321 + 0.94559 i

Because it has two real roots, the expression can be simplified.

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

N = 20

Step-by-step explanation:

5/3 = 1 2/3

20/12 = 1 8/20

They are equivalent

Answer: x > 24

Step-by-step explanation: -12x/-1/2x = 24. 24 is the given when dividing. The sign is flipped after dividing negatives.

Answer:

x < 0

Step-by-step explanation:

it's the same thing just with that slash( / ).........

The solution to all the algebra expressions are:

28) 2³/₁₆

29) 6000

30) 132

28) The area of the rectangle formed by Shana's rug is given by the expression:

Area = Length * Width

Thus:

Area = 2⁵/₈ * ⁵/₆

= ²¹/₈ * ⁵/₆

= 35/16

= 2³/₁₆

29) We are given the number 2641.

Now, from right:

1 is in the units place

4 is in tens place

6 is in hundreds place

2 is in thousands place

If we switch 2 and 6, we will have:

6241 and as such 6 represents 6000

30) The expression is given as:

90 + 7 * (7 - 1)

Using PEMDAS order of operation gives us:

90 + 7(6)

= 90 + 42

= 132

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Answer:

B because when you compare y= mx+ c where M is the slope or gradient

The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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

\(\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}\)

             Solve x²-5x+6

\(\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}\)

(x-2)(x-3)

\(\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}\)

                      First, we think of two numbers such that

     If we multiply them, we'll get 6

      If we add them, we'll get -5

These numbers are -2 and -3.

Write them here:

(x-2)(x-3)

Now, how do we get (x-2)(x-3) from x(x-2)-3(x-2)?

Notice that (x-2) is the common term, so we factor it out:

(x-2)

And now, we write the other two terms that are left in the parentheses:

(And the terms left are x and -3)

(x-2)(x-3)

Notice that we ended up with the same answer.

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

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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Answer: hope it helps

Step-by-step explanation:

y + 5 = -5(x+3)

Start by distributing the -5 into the parenthesis.

Now you should have y + 5 = -5x -15. (watch your signs when multiplying by a negative).

Your problem wants the form Ax + By = C. So, we need to get all of the variables (letters) on one side and constants (numbers without letters) on the other.

Subtract 5 from both sides to remove it from the left side of the equation -

y + 5 - 5 = -5x - 15 - 5

Doing the math, we get y = -5x -20

Now we need to get rid of the x on the right side of the equation, so let's add

-5x to both sides.

y + 5x = -5x + 5x - 20.

y + 5x = -20.

Now, you just have to rearrange the left side terms and it will be in the order asked for.

5x + y = -20

To break even, the company should charge a price that covers their expected loss. Therefore, the price that they should charge for the 2 year extended warranty is $9

What is expected value?

Expected value is a concept in probability theory that represents the average value of a random variable over a large number of trials. It is calculated by multiplying each possible outcome by its probability and adding up the products

Let x be the price that the company charges for the extended warranty. Then, the expected value of the extended warranty is:

E(x) = 0.98(0) + 0.02(-450) = -9

The negative expected value means that the company is expected to lose money on the extended warranty.

To break even, the company should charge a price that covers their expected loss. Therefore, the price that they should charge for the 2 year extended warranty is:

x = -$(-9) = $9

Therefore, the company should charge $9 for the 2 year extended warranty so that they break even.

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For the transformations of the triangle, we have that:

1. The translation of triangle ABC preserves side lengths and angles.

2. The dilation of triangle ABC preserves angles but not side lengths.

Hence the correct options are, respectively, C and B.

A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,

1. The translation of triangle ABC preserves side lengths and angles.

For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:

2. The dilation of triangle ABC preserves angles but not side lengths.

Hence the correct options are, respectively, C and B.

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Answer: The length is 9

Formula nonsense: volume = h*w*l so Length =v/h*w

meaning Length = 72/4*2 so L= 72/8 finally L= 9

Answer:

4. s = -2 cos 4t/pi + 4

Step-by-step explanation:

The position is the integral of the velocity.

In this question:

\(v(t) = \frac{8}{\pi}\sin{(\frac{4t}{\pi})}\)

So

\(s(t) = \int {v(t)} dt\)

\(s(t) = \int {\frac{8}{\pi}\sin{(\frac{4t}{\pi})}} dt\)

Integrating by substitution:

\(u = \frac{4t}{\pi}\)

\(du = \frac{4}{\pi}dt\)

\(dt = \frac{\pi du}{4}\)

So

\(s = \int {\frac{8}{\pi}\sin{u} (\frac{\pi du}{4})\)

\(s = 2 \int {\sin{u}} du\)

\(s = -2 \cos{u} + C\)

Since \(u = \frac{4t}{\pi}\)

\(s(t) = -2 \cos{\frac{4t}{\pi}} + C\)

Since s(pi^2) = 2 .

\(s(t) = -2 \cos{\frac{4t}{\pi}} + C\)

\(2 = -2 \cos{\frac{4\pi^{2}}{\pi}} + C\)

\(2 = -2\cos{4\pi} + C\)

The cosine of 4pi is the same as the cosine of 0 = 1. So

\(2 = -2 + C\)

\(C = 4\)

So the correct answer is:

4. s = -2 cos 4t/pi + 4

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

angle A + angle B = 180

Step-by-step explanation:

Inscribed angles onthe perimeter of a circle encompass twice as many degrees of arc as the angle measure ....

  EACH of these angles encompass 180 degrees of arc

     so EACH of these angles are 90 degrees  

         and the angles are equal

Answer:

Angle A + Angle B = 180.

Step-by-step explanation:

This is because the shared angle is the diameter so because the circle theorem states that an angle from a diameter is 90º because it forms a right-angle triangle, then Angle A and B are both 90º so Angle A + Angle B = 180º.

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

Answer: Yes there is a direct proportional relationship between x and y.

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

Explanation:

Direct proportional relationship equations are of the form y = kx

In the first row we have x = 3 and y = 2 pair up. So if y = kx, then,

y = kx

2 = k*3

2/3 = k

k = 2/3

Making the equation y = (2/3)x

Let's try the second row with this new equation. Plugging in x = 6 should lead to y = 4

Let's find out

y = (2/3)x

y = (2/3)*6

y = (2/3)*(6/1)

y = (2*6)/(3*1)

y = 12/3

y = 4

So this verifies the second row. The third row will be similar

y = (2/3)x

y = (2/3)*9

y = 6

I'll let you verify the fourth row. You should find that x = 12 leads to y = 8

Answer:

C  126 sq. units

Step-by-step explanation:

A = 1/2(b)(h)

A = 1/2(21)(12)

A = 1/2 × 252

A = 126 sq. units

Answer:

Translation, five units to the left

Step-by-step explanation:

Point A is moved to the left to become A'.

Similarly, Points M, H, and T have moved to the left to become M', H', and T', respectively.

This type of transformation, in which all the points in a figure move in the same direction and by the same amount, is called a translation (moving sideways).

Each point has moved five units to the left.

Answer:

The nth term is \(a_n = 4 - 5(n-1)\)

The 60th term of the sequence is -291.

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.

The nth term is given by:

\(a_n = a_1 + (n-1)d\)

In which \(a_1\) is the first term and d is the common difference.

4,-1,-6

The common difference is:

\(d = -1 - 4 = -5\)

First term \(a_1 = 4\)

So

\(a_n = a_1 + (n-1)d\)

\(a_n = 4 - 5(n-1)\)

60th term:

\(a_{60}\). Si

\(a_{60} = 4 - 5(60-1) = -291\)

The 60th term of the sequence is -291.

Answer:

Ric is 7 years old.

Step-by-step explanation:

Choose variables for everyone's ages. I'll choose \(r\) for Ric's age, \(p\) for Paul's age, and \(t\) for Tom's age.

Since Ric's age is half of Paul's age, we can write this equation:

\(r=\frac{1}{2}p\)

Since Tom is two years younger than Paul, we can write this equation:

\(t=p-2\)

Since the sum of all their ages is 33 years, we can write this equation:

\(r+p+t=33\)

Since we know \(t\) and \(r\) in terms of \(p\), we can replace them in the equation above as follows:

\(r+p+t=33\\(\frac{1}{2}p)+p+(p-2)=33\)

Now we can solve for \(p\) to find \(r\) later:

\((\frac{1}{2}p)+p+(p-2)=33\\\frac{5}{2}p-2=33\\\frac{5}{2}p=35\\5p=70\\p=14\)

Now that we know that \(p=14\), we can substitute 14 for \(p\\\) in the equation\(r=\frac{1}{2}p\):

\(r=\frac{1}{2}p\\r=\frac{1}{2}(14)\\r=7\)

Ric is 7 years old.

Answer:

False

Step-by-step explanation:

Irrational number cannot be in the form p/q

Answer:

B) 2

Step-by-step explanation:

Is BK bisecting CD?

x + 1 = 2x -1  Subtract x from both sides

1 = x -1  Add 1 to both sides

2 = x

Answer:

Answer:

Hey There!

The answers are  D and H

Step-by-step explanation:

Answer:

Not parallelogram

Step-by-step explanation:

points A(-4, 1), B(1,3), C(8, -1) and D(4, -3).

The slope of a line can be found using the following formula:

Slope  \(m= = \frac{(y_2 - y_1) }{(x_2 - x_1)}\)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Using the formula above,

Side AB: Slope =\(\frac{3-1}{1-(-4)}=\frac{2}{5}\)

Side BC: Slope =\(\frac{-1-3}{8-1}=\frac{-4}{7}\)

Side CD: Slope =\(\frac{-3 - (-1)}{4 - 8}= \frac{1}{2}\)

Side DA: Slope =\(\frac{-3 - 1}{4 - (-4)}= \frac{-1}{4}\)

Since The slopes of opposite sides are equal,

Therefore ABCD is not Parallelogram: