When you roll a pair of dice, there are several outcomes, as shown below:
When rolling the dice, the outcome is expressed as a sum of the two dice. For
example, if after you rolled the dice, and one die was a 3 and the other was a 4, you
will have rolled a 7.
Select all of the TRUE statements below. There may be more than one.
The probability of rolling the same digit with each die is 1/4.
The odds in favour of rolling a 10 is 1:13.
The odds against rolling a number less than 7 is 7:5.

To solve this problem, we have to multiply the possible number in each digit.

So, the thousand's place has 9 options because zero can take this place. The hundred's place has 9 options too because we already used a digit on thousand's place. Then, there are 8 options for ten's place, and at last, there are 7 options for unit's place.

Now, we just have to multiply

Answer:

the answer is propfjcnrbchchdb

Step-by-step explanation:

letters were never supposed to be used in maths

Answer:

$60

Step-by-step explanation:

since every year, she receives $5 more than the last, then on her twelfth birthday, you'll have to multiply 5 by 12 to get 60.

Answer:

∡a has a vertical angle sibling of 40°, and vertical angles are always congruent.

∡b is the 3rd angle in a triangle, the other two are 40° and 90°, recall all interior angles in a triangle add up to 180°.

∡c is a linear angle, namely an angle on the same flat-line as another, and linear angles always add up to 180°.

Step-by-step explanation:

Using the equation y = -3x - 1, the missing values are in the ordered pairs, (−3,y) and (x,2), are: x = -1 and y = 8.

An algebraic equation is an expression that has variables. The values of those variables, when plugged into the equation would make the equation true.

Given the equation, y = -3x - 1, substitute x = -3 into the equation to find y:

y = -3(-3) - 1

y = 9 - 1

y = 8

The missing value in the ordered pair is: (-3, 8).

To find the missing value of x in (x, 2), substitute y = 2 into the equation, y = -3x - 1:

2 = -3x - 1

2 + 1 = -3x

3 = -3x

3/-3 = x

x = -1

The missing value is (-1, 2).

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Answer:

It should be 180 cm

Step-by-step explanation:

Answer:

about 1.32 pounds for 1 dollar

Step-by-step explanation:

simply do 50÷38 then you get your answer

Answer:

rounded up to 1.32 pounds for 1 dollar

Step-by-step explanation:

Simply take 50 and divide it by 38 to get your answer

Answer:

c = 0.95*p

Step-by-step explanation:

With p representing the number of pounds purchased, and each pound costing 0.95, the total cost c can be found by multiplying the cost per pound by the total number of pounds. Simply put, total cost = 0.95 * total pounds.

HOPE THIS HELPS!!

Answer:

D 11.61

Step-by-step explanation:

Arc length is

\(2\pi r(\frac{angle}{360} )\)

r=5 and angle measure is 133

\(2\pi 5(\frac{133}{360} )\\10\pi (\frac{133}{360} )=11.61\\\\\)

Answer:

  19 or 26

Step-by-step explanation:

You want the value of 3n² -8n -9, given that n(n -3) = 10.

We recognize that 10 = 5·2 and that these factors differ by 3. This means n(n -3) = 10 is equivalent to saying n ∈ {-2, 5}.

The value of 3n² -8n -9 will be one of ...

  (3n -8)n -9 = (3(-2) -8)(-2) -9 = (-14)(-2) -9 = 19 . . . . for n = -2

or

  (3(5) -8)(5) -9 = (7)(5) -9 = 26 . . . . . . . for n = 5

The expression 3n² -8n -9 will be either 19 or 26.

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Answer:

See attached

Step-by-step explanation:

Given

The graph for the function is attached

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

6

Step-by-step explanation:

318 / 53  = 6

the remainder is 0

Answer:

y= x -1.25

Step-by-step explanation:

Use slope= y2-y1/x2-x1

(13.75, 12.50), (3.25 , 2.00)

12.50 -2.00/ 13.75 -3.25

10.50/ 10.50

slope= 1

Substitute into y=mx+b

12.50= 1(13.75) +b

b= -1.25

y= x -1.25

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)

To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:

\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)

where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).

Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:

\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)

Simplifying each term, we get:

\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)

Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).

Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.

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Note the complete question is

Simplify both of the expressions and see if they are the same

5+3x-2

=3+3x

x+2(x+1)

=x+2x+2

=2+3x

They are not equivalent.

Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

Answer:

21

Step-by-step explanation:

65+86+104+2x+3x = 360

5x = 360-65-86-104

= 105

x =21

Answer:

Below!

Step-by-step explanation:

Let the irrational number be known as "x".

\(\implies -\sqrt{41} \times x = 1\)

Divide both sides by -√41.

\(\implies \dfrac{(-\sqrt{41} \times x)}{-\sqrt{41} } = \dfrac{1}{\sqrt{-41} }\)

\(\implies x = \dfrac{1}{-\sqrt{41} }\)

Take the "-" to the numerator:

\(\implies x = \dfrac{-1}{\sqrt{41} }\)

Use parenthesis to isolate the "-"

\(\implies x = -\huge\text{(}\dfrac{1}{\sqrt{41} } \huge\text{)}\)

Note: 1 can also be written as √1. (√1 = √1 × √1 = 1)

\(\implies {x = -\huge\text{(}\dfrac{\sqrt{1}}{\sqrt{41} }\huge\text{)}}\)

Combine the roots in the equation:

\(\implies {x = -\huge\text{(}\sqrt{\dfrac{1}{41} }} \huge\text{)}}\)

Remove the parenthesis:

\(\implies {x = -\sqrt{\dfrac{1}{41} }}\)

Thus, Option C is correct.

Answer:

x = 16

Step-by-step explanation:

All angles in a triangle add up to 180°.

Step 1: Set up equation

9x - 8 + x + 10 + x + 2 = 180

Step 2: Solve for x

Answer:

a) 12

b) 129

Step-by-step explanation:

a)

\(w, x \in \mathbb{Z}_{\ge 0}\)

\(w>50\\x<40\)

For the smallest value of \(w-x\), we gotta figure out the smallest value for w and the highest value for x.

\(w>50 \Rightarrow \text{ smallest value is } 51\)

For \(x\), once \(-(-x)=x\), we conclude that \(x\) cannot be negative and therefore, \(x=39\).

\(51-39=12\)

b)

\(y, z \in \mathbb{Z}_{\ge 0}\)

\(y<70\\z\leq 60\)

For the largest value of \(y+z\), we gotta figure out the highest value for y and z.

\(y<70 \Rightarrow \text{ highest value is } 69\)

\(z\leq 60 \Rightarrow \text{ highest value is } 60\)

\(y+z=69+60=129\)

the answer is in the photo

Answer:

t⁴+5t³-3t²-2

Step-by-step explanation:

You can't subtract a variable with a different exponent:

Example:

CAN'T BE SUBTRACTED - 3x²-3x⁴

CAN BE SUBTRACTED - 4x²-2x²=2x²

\(\sf -t^{4}+5t^{3} +3t^{2} -16.\)

\(\sf (5t^{3} -9)-(t^{4}-3t^{2} +7 )\)

Beware of the terms of the right hand side parenthesis, as we'll have to change the symbol of all of them because of the minus (-) symbol infront of the parenthesis.

\(\sf 5t^{3} -9-t^{4}+3t^{2} -7\)

Like terms are terms that contain the same variables and can be added and subtracted simply. For example, 7x and 2x are like terms, because they are both expressed in terms of x. However, 7x and x² are not like terms, because one os expressed in terms of x and the ither in terms of x².

• Note: All natural numbers not being multiplied by any variables are like terms.

So now let's identify those like terms:

From this expression: \(\sf 5t^{3} -9-t^{4}+3t^{2} -7\)

Only -9 and -7 are like terms. And, since -9-7= -16, the resulting expression should be the following:

\(\sf 5t^{3} -t^{4}+3t^{2} -16\)

So even though the last expression is the answer to this problem, we can polish it a little bit by ordering the terms. In math and other exact sciences, terms are normally ordered alphabetically and from greatest to least of it's the same variable with different exponents. Therefore, the final answer is:

\(\sf -t^{4}+5t^{3} +3t^{2} -16.\)

Answer:

isoceles is the answer as MLN= MNL

Answer:

Step-by-step explanation:

Answer:

The answer is unidentified

Step-by-step explanation:

I checked ;)

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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