a spcial die is made in the shape of an icosahedron its faces are numbered wish the 1 to 20
when the die is thrown there is an equal chance og any face landing uppemost
if the die is thrown once what is the probability that the face lands uppermost that is factor of 20

Answer:

The answer is D

Step-by-step explanation:

The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

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

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

it's the thrid one as 30% is correct

Answer:

More than 30% of the students surveyed chose Red as their favorite color

Step-by-step explanation:

Answer:

1. The mean is 162 divided 6 = 27 which is like 27 x 6 = 162

2. So since 17 and 19 are in the middle of course you will have to add that together 17 + 19 = 36 but then you MUST ALWAYS divide by 2 which 36 divided by 2 = 18

3. Yes there is a outlier. and i believe it's 82

4. i believe the mean will be 80 but then divided by 5 will be 16

hope this helped :D

Step-by-step explanation:

The mean and the standard deviation for the data-set are given as follows:

mean = 23.8; standard deviation = 5.2.

The mean of a data-set is given by the sum of all the observations in the data-set divided by the number of observations, hence:

Mean = (8.2 + 13.4 + 18.6 + 23.8 + 29 + 34.92 + 39.4)/7

Mean = 23.8.

The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of observations, hence:

s = sqrt([(8.2-23.8)² + (13.4-23.8)² + (18.6-23.8)² + (23.8-23.8)² + (29-23.8)² + (34.92-23.8)² + (39.4-23.8)²]/7)

s = 5.2.

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Answer:

x = -3        x=8

Step-by-step explanation:

(x+3)(x-8)=0

Using the zero product property

x+3 =0   x -8 = 0

x = -3        x=8

Answer:

x = -(h+g) / f

Step-by-step explanation:

-fx - g = h

-fx = h + g

x = (h + g) / -f

x = -(h+g)/f

Answer:

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

Step-by-step explanation:

We want to divide \(2x^4 - 3x^3 - 3x^2 + 7x - 3\) by \(x^2 - 2x + 1\)

To do the long division, divide each term by \(x^2\) and then subtract the product of the result and \(x^2 - 2x + 1\)  from the remaining part of the equation.

Whatever term/value you obtain from each step of the division is a part of the quotient.

When you reach 0, you have gotten to the end of the division.

Check the steps carefully and follow them below:

Step 1:

Divide \(2x^4\) by \(x^2\). You get \(2x^2\).

Step 2

Multiply \(2x^2\) by  \(x^2 - 2x + 1\)  and subtract from \(2x^4 - 3x^3 - 3x^2 + 7x - 3\):

 \(2x^4 - 3x^3 - 3x^2 + 7x - 3 - (2x^4 - 4x^3 + 2x^2)\) = \(x^3 - 5x^2 + 7x - 3\)

Step 3

Divide \(x^3\) by \(x^2\). You get x.

Step 4

Multiply x by  \(x^2 - 2x + 1\)  and subtract from  \(x^3 - 5x^2 + 7x - 3\):

\(x^3 - 5x^2 + 7x - 3 - (x^3 - 2x^2 + x) = -3x^2 +6x - 3\)

Step 5

Divide \(-3x^2\) by \(x^2\). You get -3

Step 6

Multiply -3 by \(x^2 - 2x + 1\)  and subtract from \(-3x^2 +6x - 3\):

\(-3x^2 +6x - 3 - (-3x^2 + 6x -3) = 0\)

From the three divisions, we got \(2x^2\), x and -3.

Therefore, the quotient is \(2x^2 + x - 3\).

Answer:

i keep getting 52 - srry

Step-by-step explanation:

Answer:

\( \frac{n}{4} = 14 \\ n = 4 \times 14 \\ n = 56\)

Answer:

C=F/M

C=2640/75

C=35.20

$35.20 Per Band Member

Step-by-step explanation:

C= Cost Per Band Member

F = Food and Bus Cost

M = Band Members

Answer:

The answer is 32.2 (35 with ramainder of 15)

Step-by-step explanation:

THE ANSWER IS 35 WITH REMAINDER OF 15

Answer:

Therefore, the values are sec B = 5√2, cosec C = 7, tan B = 1/7, and cot C = 7.

Step-by-step explanation:

Given the lengths of BC and AC as BC = 5√2 cm and AC = 7 cm, we are tasked with finding the values of sec B, cosec C, tan B, and cot C.

Using the Pythagorean theorem, we can determine the length of the third side of the right triangle. Subtracting the square of AC from the square of BC, we obtain AB^2 = (5√2)^2 - 7^2 = 50 - 49 = 1. Taking the square root of 1, we find AB = 1 cm.

Now we can calculate the trigonometric ratios:

sec B = BC / AB = (5√2) / 1 = 5√2

cosec C = AC / AB = 7 / 1 = 7

tan B = AB / AC = 1 / 7

cot C = AC / AB = 7 / 1 = 7

Therefore, the values are sec B = 5√2, cosec C = 7, tan B = 1/7, and cot C = 7.

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The market value of house increased by $68,340 and the current value of the house is  $470,340.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The market value of house before several years =$402,000

Also, the value of house increased by 17%.

The rise in value of house = 402,000 x 17/100

                                            = 68340

The value of house increased by $68,340.

The current value of house = 402,000 + 68340 = 470340

The current value of house is $470,340.

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Answer: is 14 square feet bro

Step-by-step explanatio

Answer:

look at the picture i have sent. thanks for the points

Option A is correct. The value of function (f/g)(x) is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3.

In mathematics, function composition is an operation in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

The new function obtained by performing f first and then g is the combination of two functions g and f.

Given:

f(x) = \(\sqrt[3]{3x}\)

g(x) = 3x + 2

(f/g)(x) =  \(\sqrt[3]{3x}\)/(3x+2)

Also, the denominator should not be equal to 0.

So, 3x + 2 ≠ 0

     x ≠  -2/3

Therefore, the value of function  is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3. So, Option A is correct

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The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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Answer:

1. 3%=3/10

2. 14%=7/50

3. 66%=33/50

4. 10%=1/10

5. 17%=17/100

6. 30%=3/10

7. 50%=1/2

The volume of the Canada post mailbox is given as follows:

1,152,115.5 cm³.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

Hence the volume of the rectangular bottom is given as follows:

V = 180 x 70 x 85.5

V = 1,077,300 cm³.

The triangular top has a height of 25 cm, hence the volume is obtained as follows:

V = 0.5 x 25 x 70 x 85.5 (multiply by 0.5 as it is a triangle).

V = 74812.5.

Hence the volume is given as follows:

1077300 + 74812.5 = 1,152,115.5 cm³.

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Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.

Here are some different types of equipment commonly used to introduce numeracy to young children:

Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.

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Answer:

y = 3/5x - 4.4

Step-by-step explanation:

let equation if the line be y = 3/5x + b

sub (-6, -8):

-8 = 3/5(-6) + b

b = -4.4

therefore, equation of the line: y = 3/5x - 4.4

Topic: Coordinate Geometry

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

Step-by-step explanation:

The equation is poorly written and I cannot unfortunately solve it.

The equation of the parabola in vertex form is equal to the quadratic equation y - 1 = - (1 / 9) · (x + 2)².

Mathematically speaking, parabolae are represented by quadratic equations, there different forms of the equation of the parabola. In this case, we must use the vertex form, whose description is shown below:

y - k = C · (x - h)²

Where:

If we know that (x, y) = (- 5, 0) and (h, k) = (- 2, 1), then the equation of the parabola in vertex form is:

(0 - 1) = C · (- 5 + 2)²

- 1 = 9 · C

C = - 1 / 9

y - 1 = - (1 / 9) · (x + 2)²

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Answer:

380000

Step-by-step explanation:

rounded to the nearest ten thousand

384400 rounded to the nearest ten thousand is 380000.

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

The given number is 384400.

The number rounded to nearest ten thousand as

380000

Therefore, 384400 rounded to the nearest ten thousand is 380000.

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"Your question is incomplete, probably the complete question/missing part is:"

384400 rounded to the nearest ten thousand

Step-by-step explanation:

As we can see from the image,

The triangles ABC and GFH are congruent triangles by the rule ASA theorem as two of their angles and a side length is congruent.

\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

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This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

A triangle is a closed, two-dimensional geometric object composed of three line segments, known as sides, that intersect at three locations, known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all sides equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles greater than 90 degrees). The area of a triangle can be computed using the formula A = (1/2)bh, where A is the area, b is the triangle's base, and h is the triangle's height.

Regarding the given diagram, the following claims are always true:

m∠3 + m∠4 + m∠5 = 180°

m∠5 + m∠6 = 180°\s= m∠2 (the measure of the external angle at angle 2). (the measure of the exterior angle at angle 2). And because angles 2 and 3 are likewise interior triangle angles, we get m2 + m3 = m6, which can be rearranged to yield m5 + m6 = m3 + m4 + m5 = 180°.

m∠2 + m∠3 + m∠5 = 180°

This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

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Answer:

n=5, m = 4

Step-by-step explanation:

It is a parallelogram so m+8 = 3m and 2n-1 = 9

Answer:

10/7 or 1 3/7

Step-by-step explanation:

1. change from mixed fraction to improper fraction, 5/2 and 7/4

2. instead of the dividing the fractions as is, multiply the reciprocal which would be 5/2 multiplied by 4/7. Then you cross multiply. 2 into 2, 1 and 2 into 4, 2. So now you're left with 5 and 2/7 since 5/1 is basically 1.

3. simplify to just 10/7

Answer:

10/7 or 1 3/7

I took a test with that question.

The selling price of watch = $102

Loss on the watch = $55

Since, the expression for the Lost, Cost Price and selling price is :

Cost Price -Selling Price = Loss

Here we have, Selling Price =102, Loss =55

Substitute the value and solve for Cost Price

Cost Price -Selling Price = Loss

Cost Price -102=55

Cost Price =102+55

Cost Price =157

So, the cost price of the watch is 157

But it in the given statement they show that the cost price is 132

so, the statement is False.

Answer :

False