I need help with this​

The greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 -18x^2\) is \(2x^2.\)

To find the greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 - 18x^2\), we need to identify the largest expression that divides evenly into each term.

Let's break down each term individually:

\(8x^4\) can be factored as 2 × 2 × 2 × x × x × x × x

\(-4x^3\) can be factored as -1 × 2 × 2 × x × x × x

\(-18x^2\) can be factored as -1 × 2 × 3 × 3 × x × x

Now, let's look for the common factors among these terms:

The common factors for all the terms are 2 and \(x^2\).

Therefore, the greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 -18x^2\) is \(2x^2.\)

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Answer:

160

Step-by-step explanation:

10 x 2 = 20

4 x 2 = 8

8 x 20 = 160

Answer:

bro u find it

Step-by-step explanation:

3750 tons of SO₂ are produced for one million tons of coal burned.

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Answer:  Inverse:  y = 60/x

Step-by-step explanation:

Inverse, since y goes down as x goes up.

y=60/x is the only inverse function available, so do a quick calculation to see if (60/x) always equals the y value in the table:

x y    y=60/x

2 30       30

5 12       12

12  5        5

20   3        3

y=60/x gives the correct values of y for each x.

Answer:we need to know the size of the wall

Step-by-step explanation:

Answer:

Length = 7cm, Width = 15cm

Step-by-step explanation:

Length = p

Width = 3(p-2)

          = 3p-6

Perimeter = length + width + length + width

                = p + 3p-6 + p + 3p-6

                = 8p-12

8p - 12 = 44

Isolate 8p.

8p = 44+12

    = 56

Find p.

p = 56 ÷ 8

p = 7

Length = 7cm

Width = 3(7)-6

          = 21-6

          = 15cm

Answer:

7 1/2 tanks of gas

Step-by-step explanation:

5/6 • 9

= 45/6

Simplify.

7 1/2 tanks of gas in all

Answer:

7 1/2

Step-by-step explanation:

5 times 9 is 45. 45/6 simplified is 7 3/6 or 7 1/2

Answer: 1. 0.075 (i think) , 2. $70.84, 3. 4.77$ , 4. 71.15$ ( i think this is true i don't know fs.)

Step-by-step explanation:

Answer:

\(\dfrac{17}{8}\)

Step-by-step explanation:

Given statement:

\(\implies \dfrac{\frac{8}{5}}{\frac{8}{10}}+\left(\dfrac{8}{14} \times \dfrac{7}{12} \times \dfrac{3}{8}\right)\)

To divide two fractions, flip the second fraction (make the numerator the denominator, and the denominator the numerator) then multiply it by the first fraction:

\(\implies \left(\dfrac{8}{5} \times \dfrac{10}{8}\right)+\left(\dfrac{8}{14} \times \dfrac{7}{12} \times \dfrac{3}{8}\right)\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}\times\dfrac{b}{d}=\dfrac{ab}{cd}:\)

\(\implies \left(\dfrac{8 \times 10}{5\times 8}\right)+\left(\dfrac{8 \times 7 \times 3}{14 \times 12 \times 8}\right)\)

Carry out the multiplications:

\(\implies \dfrac{80}{40}+\dfrac{168}{1344}\)

Simplify the fractions by dividing the numerator and denominator by the GCF:

\(\implies \dfrac{80 \div 40}{40\div 40}+\dfrac{168 \div 168}{1344 \div 168}\)

\(\implies \dfrac{2}{1}+\dfrac{1}{8}\)

Make the denominators of both fractions the same:

\(\implies \dfrac{2 \times 8}{1\times 8}+\dfrac{1}{8}\)

\(\implies \dfrac{16}{8}+\dfrac{1}{8}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:\)

\(\implies \dfrac{16+1}{8}\)

\(\implies \dfrac{17}{8}\)

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer:

Mapping congruent triangles

mis the midpoint of ad.

what single transformation is required to map one of

these congruent triangles onto the other?

reflection

o rotation

o translation

o dilation

27

) intro

✓ done

4 of 9​

The single transformation required to map one congruent triangle onto the other is a translation. So, correct option is C.

The given information describes two congruent triangles, triangle ABM and triangle DCM, which share a common side, MC. The lengths of sides BM and MC are given as 27.

To determine the transformation required to map one congruent triangle onto the other, we need to consider the corresponding sides and angles of the triangles.

Since the corresponding sides AB and CD are congruent, and the corresponding side BM and MC are congruent, this suggests a translation transformation. A translation involves shifting the entire shape in a specific direction without any change in size or shape.

Therefore, the single transformation required to map one congruent triangle onto the other is a translation. It would involve moving triangle DCM along the direction of the congruent sides to align it with triangle ABM, while keeping the distances and angles unchanged.

No other transformation (reflection, rotation, or dilation) is needed because the triangles are already congruent, which means they have the same shape and size.

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Complete question is:

m is the midpoint of ad. triangles a b m and d c m are connected at point m. sides a b and c d are congruent. the lengths of sides b m and m c are 27. what single transformation is required to map one of these congruent triangles onto the other?

a. reflection

b. rotation

c. translation

d. dilation

Answer:

Hello . ♡

The answer to your question is : −370 .

Step-by-step explanation:

Hope this helps u ;)

To get a glimpse of the contents of the DataFrame named "flavors_df," you can use the head() function. This function allows you to view the first few rows of the DataFrame, providing a quick overview of the data organization.

In Python, when you have a DataFrame named "flavors_df," you can use the head() function to view the first few rows of the DataFrame. The head() function is a useful tool for getting an initial understanding of the data's structure and contents. By default, it displays the first five rows of the DataFrame, but you can specify the number of rows you want to see by passing an argument to the function.

Here's an example of how you can use the head() function to view the contents of the "flavors_df" DataFrame:

scss

Copy code

flavors_df.head()

Executing this code will output the first five rows of the DataFrame. If you want to see a different number of rows, you can pass the desired number as an argument to the head() function. For instance, flavors_df.head(10) will display the first ten rows of the DataFrame. This quick glimpse allows you to assess the data's structure and decide on further analysis or data manipulation steps based on the available information.

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Answer:

A hexagon

Step-by-step explanation:

A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.

The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.

The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.

The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.

The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.

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Answer:

Ok im too too sure but I think that it is the one with the filled in dot -->

Step-by-step explanation:

Answer:

not a right triangle

Step-by-step explanation:

Answer$12.73

Step-by-step explanation:

$63.65/5(children) = $12.73

Answer:

$12.73

Step-by-step explanation:

$63.65/5=$12.73

Answer:

The terms are t, 8, and 3t

The like terms are t and 3t

Step-by-step explanation:

N/A

Step-by-step explanation:

Rational numbers

7/8, square root of 25

All of the rational numbers will be 7/8, 8.2, 8.333..., and √25. Then the correct options are A, B, C, and E.

If the value of a numerical expression is terminating then they are the rational number then they are called a rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Let's check all the options, then we have

A. 7/8, simplify the expression, then we have

⇒ 7/8

⇒ 0.875

B. 8.2, simplify the expression, then we have

⇒ 8.2

C. 8.333333..., simplify the expression, then we have

⇒ 8.333....

D. √80, simplify the expression, then we have

⇒ √80

⇒ 4√5

E. √25, simplify the expression, then we have

⇒ √25

⇒ 5

All of the rational numbers will be 7/8, 8.2, 8.333..., and √25. Then the correct options are A, B, C, and E.

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Answer:

a > 32 is one possible solution to the inequality 1/4a +1 > 9.

Step-by-step explanation:

According to the Intermediate Value Theorem, there must be at least one value c in the range (a, b) such that f(c) = 0 for a continuous function f(x) if f(a) and f(b) have opposite signs.

Think about the formula cos(x) = 4x4. Cos(x) and 4x4 are continuous functions, hence this function is also continuous.

We can evaluate f(a) and f(b) for certain values of x to determine the interval (a, b) where the function changes sign.Assume that the interval's ends are a = 0 and b = 1. By calculating f(0) = cos(0) - 4(0)4 = 1 - 0 = 1, and f(1) = cos(1) - 4(1)4 = -0.134 0, the equations are evaluated.

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Answer:

£36

Step-by-step explanation:

From the question, we are told that School allots £3000 to spend on a trip to the theatre. With regular cost of tickets of £40 each with offer for 1/5 off

Then the cost of each ticket with 1/5 off= (4/5×40)= £32

From the question, A train ticket for the day will cost £20 each.

Then total cost for each of it = £32+£20

=£52

To determine how much money that the school will have left over, If 3 teachers and the maximum number of students attend, can be expressed below by first calculating the number of students.

Let us denote the number of students as "x"

52(x+3)= < 3000

52x + 156 =< 3000

52x =< 3000 - 156

52x =< 2844

X =< 2844/52

s =< 54.69,

The max. Number of students is 54

Total number of people= Number of students + the 3 teachers

= 54+3= 57

Total cost for 57 people= (£52 × 57 people)= £2964

The amount of money the school will have as left over = (£3000 - £2964)

= £36

Answer:

False

Step-by-step explanation:

You'll add 10 to both sides. you'll end up with

2x =24.

Now, you divide 2 on both sides.

x=12

Answer:

a

Step-by-step explanation:

Given :-

To find:-

Answer:-

As we know that the diagonals of a rhombus bisects each other at right angles, so in the given figure ∆WOX is a right angled triangle, right angled at O .

Also , we know that all sides of the rhombus are equal.

So that;

\(\implies WX = WY = YZ = ZX \dots (i) \\\)

Again, in ∆WOX , by Pythagoras theorem , we have;

\(\implies WX^2 = WO^2 + OX^2 \\\)

And here ,

So on substituting the respective values, we have;

\(\implies WX^2 = 8^2 + 6^2 \\\)

\(\implies WX^2 = 64 + 36 \\\)

\(\implies WX^2 = 100 \\\)

\(\implies WX = \sqrt{100}=\boxed{10} \\\)

Hence the measure of WX is 10 .

Now again from equation (i) , we have;

\(\implies WX = WY \\\)

Therefore,

\(\implies \underline{\underline{ WY = 10}} \\\)

Hence the measure of WY is 10 .

and we are done!

Answer:

WY is 5 units.

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

Properties of a rhombus:

Given diagonals of 6 and 8 units.

According to the properties we mentioned above, WY is a hypotenuse of a triangle with legs equal to the half of the diagonals.

Use Pythagorean theorem to find the length of WY:

The solution is, the situation can be modeled as y = 52 - 8x.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint.

So, the total area to be painted is (28 + 3 × 8) = 52 square meters.

Let y represent the area (in square meters) left to paint after x hours of painting then the situation can be modeled as

y = 52 - 8x ................ (1) (Answer)

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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