6x4 - 30x3 - 84x2 factor this polynomial

Answer: C

Step-by-step explanation: I got it right

Answer:

67 degrees

Step-by-step explanation:

The whole line is 180, so take

180-46= 134

That would be the other angle, but since x is multiplied by 2, you have to do the opposite and divide.

So when you do 134/2= 67

Answer:

\(x^2-2x+1\)

Step-by-step explanation:

=> (x-1)(x-1)

USING FOIL to solve it

=> \(x^2-x-x+1\)

=> \(x^2-2x+1\)

Answer:

\({(x - 1)}^{2} \\ = {x }^{2} - 2x + 1 \)

The suitable for blank is 2099.43 approximately.

Let the principle be P.

Time (t) = 19 years and 6 months = 19.5 years

Compound is semiannually.

Rate of Interest (r) = 4.5%

Amount will be (A) = $5000

So, suitable equation is given by,

\(A=P\left(1+\frac{r}{200}\right)^2t\\5000=P\left(1+\frac{4.5}{200}\right)^{2\times19.5}=P\left(1+\frac{9}{400}\right)^{39}\\\\P\approx2099.43\)

Hence the suitable for the blank is 2099.43.

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Answer:

40 slices

Step-by-step explanation:

I rounded 38 to 40 and divided by 8

Answer:

Hey! Finally found a question of yours!

Step-by-step explanation:

1. A=9

2. A=12

3. A=21

4. A=15

5. A=7

6. A=5

7. A=20.8

8. A=48

9. A=0.25

The value of the index form is x¹³/11

Index forms are simply described as mathematical forms or expressions that are used to represent numbers or variables that are too large or too small to be written conveniently.

Some rules of index forms are;

From the information given, we have that;

x⁹/11 × x⁴/11

Since they are of the same bases, add the exponent values

x¹³/11

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9514 1404 393

Answer:

  ∠6 = ∠4 = 84°

  ∠5 = ∠3 = 96°

Step-by-step explanation:

Angle 4 and the marked angle (84°) are corresponding angles, so are congruent. Angles 4 and 6 are vertical angles, so are congruent.

  ∠6 = ∠4 = 84°

Angle 3 and the marked angle are a linear pair, so angle 3 is the supplement of 84°:

  ∠3 = 180° -84° = 96°

Angle 3 and angle 5 are alternate interior angles, so are congruent.

  ∠5 = ∠3 = 96°

Answer:

2y = 7

Step-by-step explanation:

The top rectangle has two pieces in it. Each one is a "y", so there are two y's...that's 2y. That top rectangle is the same size as the bottom rectangle. So the two rectangles are equal. The bottom rectangle is 7.

2y = 7

If you need to continue on and solve it:

2y = 7 Divide both sides by two.

y = 7/2 This is a perfectly good answer. Or y = 3.5

The answer to your question:

2y = 7

The estimated depth of the crater is given as 714.1 m

we have the value of θ = tan 55 degrees

the depth of the crater is given as d. This value is unknown

L is the length of this shadow that has been cast. This is given as 500 meters

θ = Opposite / adjacent

d / 500 = tan 55 degrees

from this stage we would have to cross multiply

d = 500 * tan 55

d = 500 * 1.428148

d = 714.07 meters.

Hence the depth of the crater to the nearest tenth is given as 714.1 meters.

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Answer:

where is the work

Step-by-step explanation:

fdcaccge so tsf

Answer:

Step-by-step explanation:

z/m - z/n = 1                         Take out z as a common factor.

z (1/m - 1/n) = 1                      Find the common denominator of the 2 fractions

m * n is the common denominator. Multiply the two fractions by mn

z (n - m)/mn = 1                     Multiply by mn

z (n - m) = mn                       Divide by n - m

z = mn/(n - m)

The last line is your answer.

Answer:

Step-by-step explanation:

-5 - 9x = 3-9x-8  (Used distributive property)

-5 - 9x = -9x-5  (-8+3 = -5)

- 9x = -9x  (Add 5 to both sides)

0 = 0 (Add 9x to both sides)

Answer:

|-5| is equal to 5 because absolute value is the distance from 0

Step-by-step explanation:

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: it’s 3.5

Step-by-step explanation:

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Step-by-step explanation: the answer is x = 1/2

The value of x is 27 units.

It is required to find the value of x.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

If m∠1 equals (4x + 2) and m∠3 equals (5x − 25),

According to given question we have,

m∠1 =m∠3

(4x + 2)=(5x − 25)

compare the like terms and simplify we get,

2+25=5x-4x

27=x

Therefore, the value of x is 27 units.

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Answer:

Option D) 400π cubic units.

Step-by-step explanation:

GIVEN :

TO FIND :

USING FORMULA :

\(\quad\star{\underline{\boxed{\sf{V_{(Cylinder)} = \pi{r}^{2}h}}}}\)

SOLUTION :

Substituting all the given values in the formula to find the volume of cylinder :

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi{r}^{2}h}}}\)

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi{(5)}^{2}16}}}\)

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi{(5 \times 5)}16}}}\)

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi{(25)} \times 16}}}\)

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi \times 25\times 16}}}\)

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi \times 400}}}\)

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = 400 \pi}}}\)

\(\quad\star{\underline{\boxed{\sf{\pink{V_{(Cylinder)} = 400 \pi \: {units}^{3}}}}}}\)

Hence, the volume of cylinder is 400π cubic units.

Answer:

x.......y

-8...-2

-1....1

0....0

1....-1

8...2

Answer:

-2

-1

0

1

2

Step-by-step explanation:

in order to find the y values you need to plug in the x values in the table into the function

the cube root of -8 is -2 (since this is a cube root instead of a square root we can have negative values in it because when we cube negative values we get negative values i.e. -2³=-8 ; -3³=-27)

the cube root of -1 is -1

the cube root of 0 is 0

the cube root of 1 is 1

the cube root of 8 is 2

In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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Answer:

61

Step-by-step explanation:

(7 + 5) + 4 * 13 - 2

~Simplify using PEMDAS

12 + 4 * 13 - 2

12 + 52 - 3

64 - 3

61

Best of Luck~

Answer:

B

Step-by-step explanation:

1) divide -21/-6 which gives you 7/2

2) Since v are both the same bases we can subtract to 6-8 = -2

3) A negative goes to the denominator. Therefore, it’s B

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer: 49 cookies

Step-by-step explanation:  7 dozen= 84 , so subtract 84 by the 2 cookies she ate and you'll get 82, now 2 dozen= 24, so now subtract the 24 cookies that she gave to her brother by 82 and you'll get 58, then subtract the nine cookies she gave to her mom by 58 and you'll get 49 cookies.

so basically,, 84-2= 82 -2 = 58 -9= 49

I hope this helped :)

The total amount to lay down the pebbles in the seating area would be - ${(A/5) x 8.99}.

Given is that one bag of pebbles covers 5 ft² and costs $8.99​​.

Assume that the area of the seating place is A ft². Now -

1 bag will cover - 5 ft²

1 ft² will be covered in (1/5) bags

A ft² will be covered in (A/5) bags

The total cost of laying the pebbles -

(A/5) x 8.99

Therefore, the total amount to lay down the pebbles in the seating area would be - ${(A/5) x 8.99}.

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The Initial number of toads in the pond is 3x = 3 * 6 = 18.

Let's assume the initial number of toads in the pond is 3x, and the initial number of snails is 4x, where x is a positive integer representing the common factor of the ratio.

According to the problem, when 6 more snails enter the pond, the new ratio of toads to snails becomes 3:5. This means that the number of toads remains the same (3x), but the number of snails becomes 4x + 6.

Now we can set up an equation to solve for x:

(3x) / (4x + 6) = 3 / 5

To simplify the equation, we can cross-multiply:

5(3x) = 3(4x + 6)

15x = 12x + 18

15x - 12x = 18

3x = 18

x = 6

Therefore, the initial number of toads in the pond is 3x = 3 * 6 = 18.

So, there are 18 toads in the pond.

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Answer:

\(\sf 13m+16p\)

Step-by-step explanation:

\(\sf 9m+p+12p+4m+3p\)

\(\sf combine \:like \:terms\)

\(\sf \:9m+4m=13m\)

\(\sf p+12p+3p=16p\)

\(\sf 13m+16p\)

Answer:

16p + 13m

Step-by-step explanation:

9m + p + 12p + 4m + 3p = 16p + 13m because if you add -

12p + p + 3p = 16p because p = 1p

9m + 4m = 13m

Thus the answer is 16p + 13m ( Also I took the quiz )

The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

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Answer:

We can assume that the decline in the population is an exponential decay.

An exponential decay can be written as:

P(t) = A*b^t

Where A is the initial population, b is the base and t is the variable, in this case, number of hours.

We know that: A = 800,000.

P(t) = 800,000*b^t

And we know that after 6 hours, the popuation was 500,000:

p(6h) = 500,000 = 800,000*b^6

then we have that:

b^6 = 500,000/800,000 = 5/8

b = (5/8)^(1/6) = 0.925

Then our equation is:

P(t) = 800,000*0.925^t

Now, the population after 24 hours will be:

P(24) = 800,000*0.925^24 = 123,166

Answer:

122,070 bacteria.

Step-by-step explanation:AA0ktA=500,000=800,000=?=6hours=A0ekt

Substitute the values in the formula.

500,000=800,000ek⋅6

Solve for k. Divide each side by 800,000.

58=e6k

Take the natural log of each side.

ln58=lne6k

Use the power property.

ln58=6klne

Simplify.

ln58=6k

Divide each side by 6.

ln586=k

Approximate the answer.

k≈−0.078

We use this rate of growth to predict the number of bacteria there will be in 24 hours.

AA0ktA=?=800,000=ln586=24hours=A0ekt

Substitute in the values.

A=800,000eln586⋅24

Evaluate.

A≈122,070.31

At this rate of decay, researchers can expect 122,070 bacteria.