Divide 3x^4 - 4x^3 -3x -1 by x-1 Verify using division algorithm Steps please thanks

Answer:

-2.2y - 1.8

Step-by-step explanation:

We are to simplify the expression:

1.2y + 4.5 - 3.4y - 6.3

Collect like terms:

1.2y - 3.4y + 4.5 - 6.3

Simplify:

-2.2y - 1.8

That is the answer.

Answer:

BHF

Step-by-step explanation:

Definition of inscribed

Answer:

12π inches

Step-by-step explanation:

s = rθ

s = (21) (4π/7)

s = 12π

The length of the arc will be;

⇒ Arc = 37.68 inches

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The central angle = 4π/7

And, A circle has a radius of 21 inches.

Now,

We know that in circle;

⇒ Arc = Radius × Angle

Substitute all the values, we get;

⇒ Arc = 21 × 4π/7

⇒ Arc = 3 × 4 × 3.14

⇒ Arc = 37.68 inches

Thus, The length of the arc will be;

⇒ Arc = 37.68 inches

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Answer:

544 cups

Step-by-step explanation:

1 gallon consists of about 16.0047 cups, 34x16 is 544

Answer:

544 + 545 + 546 + 547

explanation: if the numbers are consecutive whole numbers then it would be near the ¼ of the given number

Answer:

Step-by-step explanation:

We will start with the angle that measures 57 degrees. This angle is supplementary to the one next to it coming off the straight line. 180 - 57 = 123.

The rule for quadrilaterals is that same side angles are supplementary, so the angle next to the 123-degree angle (to the immediate left of that angle 123) is 57. THAT 57-degree angle is supplementary to angle b, so angle b = 180 - 57 which is 123. So C is your answer.

Answer:

do you think you can send me the work for the program

Step-by-step explanation:

i got 1 day left and im not close to finishing it please help me out please respond with any way to contact you thanks

Answer:

The correct option is;

The player runs 4 meters forward, and then  runs 4 meters in the opposite direction

Step-by-step explanation:

From the question relates to the displacement of a body, compared to the distance covered by the body

In the question instance, the situation in which the player displacement will be  zero is one where both the players forward and backward displacement are equal such that they cancel each other

We have the instance where the forward and opposite displacement are  equal is given by the situation where the player runs 4 meters forward, and then  runs 4 meters in the opposite direction.

Answer:

d would be the answer if your so needy

Step-by-step explanation:

Answer:

52.7

Step-by-step explanation:

Of means multiply

85% * 62

.85 * 62

52.7

Turn the percentage into a decimal.

85% = 0.85

Multiply.

62 * 0.85 = 52.7

So, 52.7 is 85% of 62.

Best of Luck!

Answer:

[tex] slope (m) = -\frac{3}{2} [/tex]

Step-by-step explanation:

We can find the slope (m) by using coordinate pairs of any 2 points located along the slope of the line that we have on the graph.

This, let's use the coordinate pairs at:

x = -4, y = 2 (-4, 2) => (x2, y2)

x = 0, y = -4 (0, -4) => (x1, y1)

[tex] slope (m) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] slope (m) = \frac{2 -(-4)}{-4 - 0} [/tex]

[tex] slope (m) = \frac{2 + 4}{-4 - 0} [/tex]

[tex] slope (m) = \frac{6}{-4} [/tex]

[tex] slope (m) = \frac{3}{-2} [/tex]

[tex] slope (m) = -\frac{3}{2} [/tex]

Answer: A

Step-by-step explanation:

The answer is A.  It accurately describes the equation shown.  Negative values are represented by negative tiles and positive values are represented by positive tiles.

Hope it helps <3

Answer:

hi:) If chen needed 3 1/5 and 3 2/3, the answer should be 7. 7 cups. i hope this is right but feel free to correct me if im wrong.

B. 7 cups

The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.

Number of cups used to make muffins = 3 1/5

Estimation = 3 cups

Number of cups used to make banana bread = 3 2/3

Estimation = 4 cups

Number of cups of flour needs to bake both recipes = Estimated number of cups used to make muffins + Estimated number of cups used to make banana bread

= 3 + 4 cups

= 7 cups.

The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.

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Answer:

The common difference is -5/4

T(n) = T(0)  - 5n/4,

where T(0) can be any number. d = -5/4

Assuming T(0) = 0, then first term

T(1) = 0 -5/4 = -5/4

Step-by-step explanation:

T(n) = T(0) + n*d

Let

S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240

S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220

S2 - S1

= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)

= (5+6+7+8 - 1 -2-3-4)d

= 4(4)d

= 16d

Since S2=220,  S1 = 240

220-240 = 16d

d = -20/16 = -5/4

Since T(0) has not been defined, it could be any number.

Answer:

[tex]\bold {3.25+5.50S \le 30}[/tex] is the correct answer.

Step-by-step explanation:

Given that

Chocolate milk already ordered for the cost of $3.25.

Maximum bill that Benjamin wants = $30

Cost of a stack pancake = $5.50

Number of stacks of pancakes bought = S

It is given that all the money available is to be spent on 1 chocolate milk and S number of stacks of pancakes.

Cost of 1 pancake = $5.50

Cost of S number of stacks of  pancakes = [tex]\text{Number of stacks of pancakes} \times \text{Cost of each pancake}[/tex]

i.e. [tex]S \times 5.50 = 5.50S[/tex]

So, total money spent = $3.25+5.50S

Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.

So, the inequality can be written as:

[tex]\bold{3.25+5.50S \le 30}[/tex]

Answer:

Choice D - 8cm and 9cm.

Step-by-step explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

Option d: 8 cm and 9 cm.

There is a theorem in mathematics stating:

" The sum of length of two sides of any triangle is greater than the rest third side"

According to that theorem, first three given options cant form the sides of the given triangle whose one side is 13 cm.

The 4th option has 8 cm and 9 cm for which we have:

8 + 9 > 13

Thus this option follows the theorem.

Hence fourth option is correct.

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Answer:

G

Step-by-step explanation:

We can find a missing length of a triangle using a Pythagorean theorem if and only the triangle is a right angled triangle.

The side of the missing length is:

a^+b^=c^

2^+4^=c^

4+16=c^

20=c^

[tex] \sqrt{20} = c ^{2} \\ 4 \sqrt{5} = c[/tex]

Answer:

+3, 0

Step-by-step explanation:

y-intercept for f(x) is when x = 0, so it is +1, 0

y-intercept for g(x) is when x = 0, so it is +3, 0

y-intercept for h(x) is when x = 0, so it is -2, 0

The y-intercept of a function is the point where x = 0.

The ordered pair that represents the greatest y-intercept is (0,3)

The functions are given as:

[tex]\mathbf{f(x) = |x - 1| + 2}[/tex]

[tex]\mathbf{g(x) = (x + 3)}[/tex]

[tex]\mathbf{h(x) = (x + 1) - 3}[/tex]

Set x = 0, and solve the functions

[tex]\mathbf{f(x) = |x - 1| + 2}[/tex]

Substitute 0 for x

[tex]\mathbf{f(0) = |0 - 1| + 2}[/tex]

[tex]\mathbf{f(0) = |- 1| + 2}[/tex]

Remove absolute brackets

[tex]\mathbf{f(0) = 1 + 2}[/tex]

[tex]\mathbf{f(0) = 3}[/tex]

[tex]\mathbf{g(x) = (x + 3)}[/tex]

Substitute 0 for x

[tex]\mathbf{g(0) = (0 + 3)}[/tex]

[tex]\mathbf{g(0) = 3}[/tex]

[tex]\mathbf{h(x) = (x + 1) - 3}[/tex]

Substitute 0 for x

[tex]\mathbf{h(0) = (0 + 1) - 3}[/tex]

[tex]\mathbf{h(0) = 1 - 3}[/tex]

[tex]\mathbf{h(0) = - 2}[/tex]

Hence, the ordered pair that represents the greatest y-intercept is (0,3)

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Answer:

P = 0.0215 = 2.15%

Step-by-step explanation:

First we need to convert the values of 900 and 975 to standard scores using the equation:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

Where z is the standard value, x is the original value, [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation. So we have that:

standard value of 900: [tex]z = \frac{900 - 750}{75} = 2[/tex]

standard value of 975: [tex]z = \frac{975 - 750}{75} = 3[/tex]

Now, we just need to look at the standard distribution table (z-table) for the values of z = 2 and z = 3:

z = 2 -> p_2 = 0.9772

z = 3 -> p_3 = 0.9987

We want the interval between 900 and 975 hours, so we need the interval between z = 2 and z = 3, so we just need to subtract their p-values:

P = p_3 - p_2 = 0.9987 - 0.9772 = 0.0215

So the probability is 0.0215 = 2.15%

Answer:

2.35 babyyyyyyyyyyy

Step-by-step explanation:

Acellus sux

Answer:

573 movies

Step-by-step explanation:

Here, we have 5 out of 6 movies having that cost

Therefore the rate we will be working with is 5/6

Now there are 687 new releases, the value that cost the given price range will be; 5/6 * 687 = 572.5 which is approximately 573

Answer:

e =7.1

Step-by-step explanation:

[tex]Hypotenuse = 10\\Opposite =e\\Adjacent =7\\\\Using\:Pythagoras\:Theorem\\Hypotenuse^2=Opposite^2+Adjacent^2\\10^2 =e^2 + 7^2\\100 =e^2+49\\100-49=e^2\\\\51 =e^2\\\sqrt{51} =\sqrt{e^2}\\ e = 7.141\\\\e = 7.1[/tex]

Answer:

k = 1

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (4, 1 ), thus k = 1

Answer:

(7x^3+2y^3)(2x^3−7y^3)

Answer:

Distance between balloon and a is = 383.67 m

Step-by-step explanation:

The given situation can be represented as the given diagram as attached in the answer area.

cd = 384 m

cb = 200 m

[tex]\angle adb = 33^\circ[/tex]

To find:

Distance between balloon and a i.e. side ad = ?

Solution:

First of all, let us consider the right angled [tex]\triangle bcd[/tex].

We know the trigonometric identity that:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]tan\angle cbd =\dfrac{cd}{cb}\\\Rightarrowtan\angle cbd =\dfrac{384}{200}\\\Rightarrowtan\angle cbd =1.92\\\Rightarrow \angle cbd = tan^{-1}(1.92) = 62.49^\circ[/tex]

Now, using the external angle property for the external [tex]\angle cbd[/tex] for the [tex]\triangle abd[/tex]:

(External angle is equal to the sum of two opposite angles of the triangle.)

[tex]\angle cbd = \angle adb+\angle a[/tex]

[tex]\Rightarow \angle a =62.49-33 =29.49^\circ[/tex]

Now, let us consider the right angled [tex]\triangle acd[/tex].

We have the value of [tex]\angle a[/tex] and perpendicular dc.

We have to find the hypotenuse ad.

Let us use the sine identity:

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\angle a =\dfrac{cd}{ad}\\\Rightarrow sin(29.49^\circ) =\dfrac{384}{ad}\\\Rightarrow ad = \dfrac{384}{0.49}\\\Rightarrow \bold{ad = 783.67\ m}[/tex]

So, the answer is:

Distance between balloon and [tex]\bold{a}[/tex] is = 383.67 m

Answer:

u = [tex]\sqrt{6}[/tex].

Step-by-step explanation:

This is a 45-45-90 triangle.

That means that there are two side lengths with lengths of x, and a hypotenuse with a length of xsqrt(2). We can then set up a proportion.

[tex]\frac{1}{\sqrt{3} } =\frac{\sqrt{2} }{u}[/tex]

1 * u = [tex]\sqrt{3} * \sqrt{2}[/tex]

u = [tex]\sqrt{6}[/tex].

Hope this helps!

Answer:

1. Cash flow statements; the investing section

Step-by-step explanation:

The cash flow statements is a useful document that shows where the company receives funds and uses it. Thus, it shows both incoming and outgoing cash flow.

The investment section of the cash flow statement is where all the amount of cash paid for acquisitions of property and equipment is imputed. Usually the transactions are written as capital expenditure.

Step-by-step explanation:

The solution is the document i sent please check through.

Answer:

P(X > 112) = 0.21186.

Step-by-step explanation:

We are given that the random variable X is normally distributed, with mean [tex]\mu[/tex] = 100 and standard deviation [tex]\sigma[/tex] = 15.

Let X = a random variable

The z-score probability distribution for the normal distribution is given by;

                               Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 100

            [tex]\sigma[/tex] = standard deviaton = 15

Now, the probability that the random variable X is greater than 112 is given by = P(X > 112)

      P(X > 112) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{112-100}{15}[/tex] ) = P(Z > 0.80) = 1- P(Z [tex]\leq[/tex] 0.80)

                                                       = 1 - 0.78814 = 0.21186  

The above probability is calculated by looking at the value of x = 0.80 in the z table which has an area of 0.78814.

Answer:

Hey there!

We see that z is equal to 40, because angles in a triangle add to 180 degrees.

We see that x is equal to 70, because an isosceles triangle has two angles that are congruent to each other, and can be represented using the equation 2x+y=180.

We see that y is equal to 110, because x+y needs to equal 180.

Hope this helps :)

Answer:

∠x = 70º, ∠y = 110º, ∠z = 40º

Step-by-step explanation:

to find ∠z: 180 - (71 + 69) = 40º = ∠z

the smaller triangle is an isosceles triangle, therefore ∠x is equal to the angle on its left.

so 180 - ∠z = 2 x ∠x

180 - 40 = 140 / 2 = 70º = ∠x

the angle to the left of ∠x forms 180º with ∠y.

as that angle is 70º, ∠y = 180 - 70 = 110º

Answer:

duty = 64

Total cost is 224

Step-by-step explanation:

First find the cost of the 5 sets

5 * 32 = 160

Then find the duty

160 * 40%

160 * .4 =    64

Add this to the cost of the sets

160+64 =224

Answer:

The answer is 45 inches².

Step-by-step explanation:

First, you have to find the area of each triangle:

[tex]area = \frac{1}{2} \times base \times height[/tex]

[tex]let \: base = 3 \\ let \: height = 6[/tex]

[tex]area = \frac{1}{2} \times 3 \times 6[/tex]

[tex]area = \frac{1}{2} \times 18[/tex]

[tex]area = 9 \: \: {inches}^{2} [/tex]

Assuming that the formula for surface area of pyramid is Surface area = base area(area of square) × 4(area of triangle):

[tex]base \: area = 3 \times 3 = 9[/tex]

[tex]area \: of \: triangle = 9[/tex]

[tex]s.a = 9 + 4(9)[/tex]

[tex]s.a = 9 + 36[/tex]

[tex]s.a = 45 \: \: {inches}^{2} [/tex]

Answer:

Area = 34. 81 yd^2

Perimeter = 86.6 feets

Step-by-step explanation:

Given the following :

Shape of Mrs. Johnson's plot = square

All sides of a square are of equal length

Measure of each side = 5.9 yd

A.) Area of plot

Area of plot = Area of a square

Area of a square(A) = a^2

Where a = side length

A = 5.9^2

A = 34.81 yd^2

B) Perimeter of Basil plot = Perimeter of a square

Converting yard to feet

1 yard = 3feets

Therefore,

5.9 yards = (3 * 5.9) = 17.7 feets

Fence is 2ft from the garden on each side,

Length of fence on each side = (2 + 17.7 + 2) Feets = 21.7 Feets

Perimeter of a square (P) = 4a

Where a = side length

P = 4 × 21.7

P = 86.6 feets

Answer:

86.6 feet

Step-by-step explanation: