Find the polynomial f(x) of degree 3 has the following zeros
9, 0, -7

Answer:

208.06

Step-by-step explanation:

208.06 is already in standard notation. If you were talking about scientific notation, it would be 2.0806×10².

Answer:

60 cubic meters will be the volume of such cone.

Step-by-step explanation:

Formula for volume of a cylinder:

[tex]V = \pi r^{2} h ...... (1)[/tex]

Where [tex]r[/tex] is the radius of base of cylinder

and [tex]h[/tex] is the height of cylinder

V = 180 cubic meters

Formula for volume of a cone:

[tex]V' = \dfrac{1}{3}\pi R^{2} H ...... (2)[/tex]

Where [tex]R[/tex] is the radius of base of cone

and [tex]H[/tex] is the height of cone

Now, it is given that height and radius of cone are equal.

[tex]r = R\\h =H[/tex]

Putting the values in equation (2):

[tex]V' = \dfrac{1}{3}\pi r^{2} h[/tex]

Using equation (1):

[tex]V' = \dfrac{1}{3} \times V[/tex]

Putting V = 180 cubic meters

[tex]\Rightarrow V' = \dfrac{1}{3} \times 180\\\Rightarrow V'=60 \text { cubic meters}[/tex]

Hence, 60 cubic meters will be the volume of such cone.

Answer:

3

Step-by-step explanation:

The degree of the given POLYNOMIAL is 3.

Because highest power is 3.

Step-by-step explanation:

3

highest power of the coefficient is 3

Answer: 1050 is the answer? Do u need a calculator

Step-by-step explanation:

The equation is 0 + 59 = 17 which can help Aly calculate the number of more toy cars than trucks. which is the correct answer would be an option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Aly has 59 toy cars and 17 toy trucks.

To determine the equation can help Aly calculate number of more toy cars than trucks she has

We have to subtract 17 from both sides and add 0

0 + 59 = 17

0 + 59 - 17 = 42

Therefore, the equation is 0 + 59 = 17 which can help Aly calculate the number of more toy cars than trucks.

Hence, the correct answer would be option (C).

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Answer:

g(x)=[tex]-2x^{2}[/tex]+1

Step-by-step explanation:

Answer:

g(x) = (x +2)² + 1

Step-by-step explanation:

original function is moved 2 units to the left and 1 unit up so

g(x) = (x-(-2))²+1

g(x) = (x +2)² + 1

Answer:

D. Theoretical

Step-by-step explanation:

The probability is based on the number of marbles in the bag.  It is the theoretical probability.  It is the likelihood that a yellow marble will be picked

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

Answer:

502.40 inches

Step-by-step explanation:

First we need to find the circumference of the wheel, which is given by pi times the diameter:

C = (3.14)(20) = 62.8 inches

That's how far the unicycle will travel in 1 revolution, so from there just multiply by 8

D = (62.8)(8) = 502.40 inches

The unicycle travel 502 inches in 8 revolutions

The circumference is the perimeter of a circle. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment.

Given that, a unicycle wheel has a diameter of 20 inches.

To find that how many inches will the unicycle travel in 8 revolutions, we will multiply the circumference to the asked number of revolutions.

Circumference = π × diameter

= 3.14 × 20 = 62.8 inches

The unicycle travel in 8 revolutions = 62.8 × 8 = 502.4 inches

In nearest hundred = 502 inches

Hence, the unicycle travel 502 inches in 8 revolutions

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Explanation:

Let x and y be the two integers where x > y.

The two integers have a sum of x+y and this is equal to 2, so x+y = 2. Solve for y to get y = -x+2

The two integers also have a difference of 12, so x-y = 12. Plug in y = -x+2 and solve for x

x-y = 12

x - ( y ) = 12

x - ( -x+2 )  = 12 ... replace y with -x+2

x + x - 2 = 12

2x - 2 = 12

2x - 2+2 = 12+2 .... adding 2 to both sides

2x = 14

2x/2 = 14/2 .... divide both sides by 2

x = 7

Use this x value to find y

y = -x+2

y = -7+2

y = -5

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

As a check,

x+y = 7+(-5) = 7-5 = 2 ... we get a sum of 2

x-y = 7-(-5) = 7+5 = 12 ... and get a difference of 12

the answers have been confirmed

Answer:

192.5 kg

Step-by-step explanation:

220-12.5%=220*(100-12.5)/100=220*0.875= 192.5 kg

Answer:

There lots of possible ways: here are some answers

219 + 348 = 567

218 + 349 = 567

129 + 357 = 486

127 + 359 = 486

271 + 593 =864

128 + 367 = 495

281 + 673 = 954

127 + 368 = 495

271 + 683 = 954

there are  more answers....

Hope this helps

Answer:

1) It is a qiadratic binomial which has 3 as coefficient on the quadratic term and 2 as the coefficient on the linear term

2) It is a quadratic trinomial which has 2 as coefficient in the quadratic term , -5 as the coefficient in the linear term & 3 as the coefficient of the constant term

3) It is a linear polynomial with no constant term and is a monomial ....it has 6 as coefficient in the linear term

Answer:

inside the circle

Step-by-step explanation:

The radius is sqrt(38)

The distance from the center to the point is

d = sqrt( ( y2-y1) ^2 + ( x2 -x1) ^2)

   = sqrt( ( 1 - 0)^2 + ( 6 - 0 ) ^2)

   = sqrt( (1^2 + 6^2)

   = sqrt( 1+36)

  = sqrt(37)

This is less than the radius so the point is inside the circle

Answer: its number A

Step-by-step explanation:

Answer:

{-2,3,4,2}

Domain is basically the x values

Answer:

domain = {-2,3,4,2}

Step-by-step explanation:

domain is related to x coordinate of the point

Answer:

1. 16

2. $21.27

Step-by-step explanation:

To get the tip money, ypu multiply 18.5 to 0.15 to get 2.775. We round it to 2.77. Add this to 18.5 to get $21.27 as the answer

Answer:

t = -17/49

Step-by-step explanation:

25t-13=-24t-30

Add 24t to each side

25t+24t-13=-24t+24t-30

49t-13=-30

Add 13 to each side

49t-13+13=-30+13

49t = -17

Divide each side by 49

49t/49 = -17/49

t = -17/49

The right answer is - 17/49

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:80mi/hr * 3.5hrs

Answer:

The angle of elevation for Brendan is  40°

Step-by-step explanation:

To find the angle of elevation of Brendan, we will follow the steps below;

we can use the sine formula to find the angle of elevation of Brendan since we were given two sides and one angle

Using the sine rule;

[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin E}{e}[/tex]

From the diagram above, angle A = 65°     side a = 155 m   side e=110 m

angle E is what we are to find

we can now proceed to insert the values into the formula

[tex]\frac{sin 65}{155}[/tex]  =  [tex]\frac{sin E}{110}[/tex]

cross-multiply

155 sinE = 110 sin65°

Divide both-side of the equation by 155

sin E = 110 sin65° / 155

sin E =0.64319

Take the sin⁻¹  of both-side of the equation

sin⁻¹ sin E = sin⁻¹ (0.64319)

At the left-hand side of the equation sin⁻¹ will cancel-out sin leaving us with just E

E =  sin⁻¹ (0.64319)

E= 40°

The angle of elevation for Brendan is  40°

Step-by-step explanation:

2x +34 =64

2x=30

X=30/2

X=15

Answer:

[tex] \boxed{x = 15} [/tex]

Step-by-step explanation:

[tex] = > 2x + 34 = 64 \\ \\ = > 2x = 64 - 34 \\ \\ = > 2x = 30 \\ \\ = > x = \frac{30}{2} \\ \\ = > x = 15[/tex]

Answer:

60 degrees.

Step-by-step explanation:

We know that we can rotate the image by a total of 360 degrees until we reach the original point again.

To rotate the image to a point where the image looks the same, we need to take a look at how we can do this. We want to line up the image with the gap between the two white semicircles. There are a total of 6 of these gaps:

360/6 = 60 degree rotations will make the image the same.

I hope this helps!

Answer:

see explanation

Step-by-step explanation:

Given M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition r = 4 when M = 160, thus

160 = k × 4³ = 64k ( divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

(a)

when r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

(b)

when M = 540 , then

540 = 2.5r³ ( divide both sides by 2.5 )

216 = r³ ( take the cube root of both sides )

[tex]\sqrt[3]{216}[/tex] = r , thus

r = 6

Answer:

=15x−3

Step-by-step explanation:

Let's simplify step-by-step.

4x−−19x−13x−(−5x+3)

=4x+19x+−13x+5x+−3

Combine Like Terms:

=4x+19x+−13x+5x+−3

=(4x+19x+−13x+5x)+(−3)

Answer: =15x+−3

Hope this helps.

4x - {-19x + (-13x - (-5x + 3)]}

Answer:

=15x−3

Step-by-step explanation:

Let's simplify step-by-step.

4x−−19x−13x−(−5x+3)

=4x+19x+−13x+5x+−3

Combine Like Terms:

=4x+19x+−13x+5x+−3

=(4x+19x+−13x+5x)+(−3)

Answer: =15x+−3

Hope it's helpful please...?

Answer: a

Step-by-step explanation:

The lineab bisects bi equally

Answer:

29.49 square inches

Step-by-step explanation:

Let the length of the rectangle be x inches

Therefore, width = (2x - 7) inches

Perimeter of rectangle =2( length + width)

therefore,

43.6 = 2 ( x + 2x - 7)

43.6/2 = 2 ( 3x - 7)

21.8 = 6x - 14

21.8 + 14 = 6x

6x = 35.8

x = 35.8/6

x = 5.97 inches

Length = 5.97 inches

width = 2*5.97-7 =11.94 - 7 = 4. 94 inches

Area of rectangle

= Length * width

= 5.97*4.94

=29.4918

= 29.49 square inches

Answer:

Step-by-step explanation:

a) negative correlation

b) diagram c

c) diagram b because its erm no correlation its scattered

PUT ME AS THE BRAINIEST

Answer:

so the answer is 3/2x

Step-by-step explanation:

=[tex]\frac{13}{2x}[/tex]-[tex]\frac{5}{x}[/tex]

taking LCM

=[tex]\frac{13}{2x}[/tex]-[tex]\frac{5*2}{x*2}[/tex]

=[tex]\frac{13}{2x}[/tex]-[tex]\frac{10}{2x}[/tex]

=[tex]\frac{3}{2x}[/tex]

i hope it will help you

Fractions are written as a ratio of two or more integers.

Given the expression

13/2x - 5/x

Find the LCM

From the given fraction, the LCM is 2x

= 13/2x - 5/x

= 13-2(5)/2x

= 13-10/2x

= 3/2x

Hence the difference in the fraction given in question is 3/2x

Learn more here: brainly.com/question/1332448

Answer:

D

Step-by-step explanation:

Split the shape into 2 figures.

I would split it so that there is a square and a larger rectangle.

Find the dimensions.

Square = 1 x 1

Rectangle= 4 x 3

Add the areas!

1+12

13!

Answer:

A^figure = 13ft

Step-by-step explanation:

A^figure = A^square + A^rectangle

A^figure = bh + bh

A^figure = 1 x 1 + 4 x 3

A^figure = 1 + 12

A^figure = 13ft

Answer:

[tex]9/20,[/tex] [tex]45.4/100,[/tex] [tex]5/11,[/tex] [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Convert the values into decimals.

[tex]5/11=0.45454545454[/tex]

[tex]\sqrt{2}=1.41421356237[/tex]

[tex]45.4/100=0.454[/tex]

[tex]9/20=0.45[/tex]

With decimals, it is especially important to understand place value.

[tex]0.45454545454, 1.41421356237, 0.454, 0.45[/tex]

Order from smallest to largest.

[tex]0.45, 0.454, 0.45454545454, 1.41421356237[/tex]

[tex]9/20,[/tex] [tex]45.4/100,[/tex] [tex]5/11,[/tex] [tex]\sqrt{2}[/tex]