Evan graphed a cubic function, f(x) = ax3 + bx2 + cx + d, and determined the roots of f(x) to be +1 and 2. What is the value of b, if a = 1

Answer:

surface area of cuboid = 190 in²

surface area of triangular prism = 1240 yd²

surface area of cone = 791.28 ft²

Step-by-step explanation:

cuboid formula = 2( l x b + l x h + h x b )

solution:

S.A = 2(l x b + l x h + h x b)

S.A = 2(5 x 3 + 5 x 10 + 10 x 3)

S.A = 2(15 + 50 + 30)

S.A = 2( 95 )

S.A = 190 in²

triangular prism formula = 2(1/2 (b x h)) + 2(l x b) + l x b(this formula can only be used for this type of triangular prism)

solution:

S.A = 2(1/2 (b x h)) + 2(l x b) + l x b

S.A = 2(1/2 (15 x 16)) + 2(17 x 20) + 20 x 16

S.A = 240 + 680 + 320

S.A = 1240 yd²

cone formula = [tex]\pi[/tex]r(l + r) or [tex]\pi[/tex]rl + [tex]\pi[/tex]r²

solution:

S.A = [tex]\pi[/tex]r[l+r]

S.A = 3.14(9)[19 + 9]

S.A = 28.26 x 28

S.A = 791.28 ft²

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Answer:1. 12:6         equivalant ratio:24:12

Step-by-step explanation:

12:6 means twelve to 6 and to find a equivalant ratio means to find a number that 12 and 6 can equal so it would be 24:12 which i multiplied by 2.

Answer:

30%

Step-by-step explanation:

To solve this, you must first find the areas of the circle and the pentagon within it.

Find the area of the circle:

The area of a circle is πr² and the circle in the diagram is shown to have a radius of 4cm, so to find its area, plug 4 into the equation

A = πr²  ⇒  A = π(4)²  ⇒  A = 16π

Find the area of the pentagon:

To find the area of a pentagon, you should first know that the shape is simply five triangles combined into one shape. (See Image)

With the formula for the area of a triangle in mind, it should be known that the pentagon's side acts as a base and the pentagon's apothem (dotted line) acts as a height for each triangle. According to the diagram, the base length is 4.7 and the height is 3.2. To find the area of any of the triangles, plug these values into the formula for the area of a triangle:

A = [tex]\frac{1}{2}[/tex]bh  ⇒  A = [tex]\frac{1}{2}[/tex](4.7)(3.2)    ⇒  A = 7.52 cm²

Since a pentagon is made of five of these, simply multiply the area you just found by 5 to find its area:

A = 7.52 * 5 = 37.6 cm²

Find the area of the white parts:

To find the area of the white parts, subtract the area of the pentagon from the area of the circle:

16π - 37.6 = 12.67 cm²

Now all that's left is to find the probability, all you have to do is

Divide the area of the white by the area of the circle:

12.67 / 16π = .25, which is .3 rounded to the nearest tenth.

That means that the probability that a randomly selected point within the circle falls in the white area is 30%

Hope this worked!

Answer:

4.5 I hope I was not to late

Answer:

B

JUST TOOK THE UNIT TEST REVIEW

Learn more about the probability here;

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Answer:

The answer is 1
- One is the most frequent digit used for writing numbers between 1-1000
- its because 1 has 1 in it and 1000 also has one in it so it can't be other numbers from 1-9
- It can't be zero as zero is not repeated as much as 1
- so the answer is 1

Answer:

V =226.98

Step-by-step explanation:

V=π[tex]r^{2}[/tex]h

=π =4.252·4

≈226.9800

[tex]f(1) = 3^x-3 = 3^1-3=3-3=0[/tex]

To solve f(1), we simply plug 1 into all the x's position

             --> the exponent of 3 in this case

Answer:

Renters insurance protects your belongings from loss, damage, or destruction following things like burglaries, fires, tornadoes and other covered events. Plus, renters insurance also protects your liability (and your money) if someone is injured at your rental home or apartment.

Step-by-step explanation:

Answer:

0.027

Step-by-step explanation

If s = 0.3, and s is being cubed, that's the same as 0.3 cubed

Cubed just means to the third power.

So that mean o.3 cubed is the same as (0.3)(0.3)(0.3)

Therefore, the answer is 0.027

Answer:

ОА

The system has two solutions, and both are viable because they result in positive side lengths.

Step-by-step explanation:

Answer:

1 coin is left

Step-by-step explanation:

5 coins + 4 coins = 9 coins - 8 coins = 1 coin so 1 coin is your answer.

Answer:

1

Step-by-step explanation:

5+4=9
9-8 = 1
Therefore, there is 1 coin in the jar.

Answer: 60%.

Step-by-step explanation: As you can see, there are one hundred squares on the grid.  If you go by tens with the shaded part, you get 6 tens shaded, or 60 squares total.  60 is also equivalent to 60%, which is your answer.

Let me know if this is right! :)

Answer:

Given,

Dimensions of rectangular prism

Length= 10in

Breadth=2in

height= 3(1/2) or 7/2

Dimension of cube = 1/2in

Let the number of cubes be x

A.T.Q(According to question)

Vol. of rectangular prism= Vol. of Square× Number of cubes

l×b×h = a³

= > 10×2×7/2 = (1/2)³× x

x = 560

So the number of cubes required to fill the prism is. 560

Answer:

Andrew is 30 years old. Hunter is 65 years old.

Step-by-step explanation:

we can set up 2 equations:

h = 35 + a

h+5 = 2(a+5)

Solve for h in the second equation.

h + 5 = 2a + 10; h = 2a + 5

now set the 2 equations = to each other

2a + 5 = 35 + a

solve for a by combining like terms

a + 5 = 35

a = 30

so Andrew is 30 and Hunter is 35 + 30 = 65.

Sp in 5 years Andrew is 35 and Hunter is 70 (twice A's age)

Answer:

So that means that

h=35+a+5

because he already is 35

we add Andrew's Age

And we add 5 for 5 extra years

Therefore,

35+5=40.

40+a = 2a+10

Substract the a

40 = a+10

Subtract 10

30 = a

If Andrew's age is 30, going back to our first equation,

Hunter's Age = 65

Andrew's Age = 30

Hope it helped!

Answer:

1.57 square feet

Step-by-step explanation:

Given :-

Radius =  2 feet

θ = 45°

Formula to be used :-

Area (sector) = πr² x θ / 360°

Inputting the values :-

= 3.14 x (2)² x 45/360

= 3.14 x 4 x 1/8

= 3.14 x 1/2

= 1.57 square feet

wait I accidentally sent the wrong thing sorry

Answer:

The distance between them can be found by counting from -3 to 7.

Step-by-step explanation:

got 100 on my assignment

Answer:

∞

Step-by-step explanation:

1. Simplify the expression

[tex]0^-4[/tex]

2. Simplify exponents and square roots

[tex]0^-4[/tex]

[tex]_{ \infty}[/tex]

Why learn this:

Terms and topics:

Answer:

tan 40  =ac

1              100    AC=100*tan40=83.91feet

Step-by-step explanation:

there you go enjoy lol

[tex]\\ \rm\rightarrowtail cot40=\dfrac{Base}{Perpendicular}[/tex]

[tex]\\ \rm\rightarrowtail cot40=\dfrac{BC}{AC}[/tex]

[tex]\\ \rm\rightarrowtail AC=\dfrac{BC}{cot40}[/tex]

[tex]\\ \rm\rightarrowtail AC=\dfrac{100}{1.192}[/tex]

[tex]\\ \rm\rightarrowtail AC=83.89ft[/tex]

The perimeter and the area of the shape are 63 square yards and 46 yards, respectively.

The area of a triangle is equal to one half the product of its base and height. In the image, the base of the triangle is 18 yards and the height is 7 yards. Therefore, the area of the triangle is:

area = (1/2) * base * height

= (1/2) * 18 * 7

= 63 square yards

The perimeter of the shape is the sum of the lengths of all of its sides. In the image, the lengths of the sides are 6 yards, 18 yards, 7 yards, and 15 yards.

Therefore, the perimeter of the shape is:

perimeter = 6 + 18 + 7 + 15

= 46 yards

Learn more about area of a triangle at:

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Answer: 3.

Step-by-step explanation: NA/Student did not ask ; answer given only.

Answer:

answer is 2400

Step-by-step explanation:

6/100×40'000=2400

Answer:

(A) 33.9 (B) 22.6

Step-by-step explanation:

We first need to round to the nearest dollar for both prices. Lets examine both numbers.

$30.12       $19.93

We can round $30.12 to $30 since the number in the tenths place is 1 and we can round $19.93 to $20 since there is a nine in the tenths place.

Now we must find the tax for each number. We can do that by multiplying each number by 0.13 since that is 13% in decimal form. Lets do that now

[tex]30*0.13=3.9[/tex]           [tex]20*0.13=2.6[/tex]

Now we can find the final price for each number by adding the tax to the rounded price.

[tex]30+3.9=33.9[/tex]          [tex]20+2.6=22.6[/tex]

Hence, (A) 33.9, (B) 22.6

Answer: 6        

Step-by-step explanation:

Answer:

3x2

Step-by-step explanation:

Matrix P has 3 rows and 2 columns.

Therefore, P has dimensions 3 × 2.

Answer:

a

Step-by-step explanation:

[tex]y\leq\frac{1}{2}x+2 \\\\1\leq \frac{1}{2}(0)+2\\\\1\leq 0+2\\\\1\leq 2[/tex]

This statement is true

Hope this helps!

The linear inequality represented by the graph is y ≤ 1/2x + 2

From the graph, we have the following highlights:

Next, we calculate the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

Using the points on the graph, we have:

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

Evaluate

m = 1/2

The first highlight implies that the y-intercept is 2.

So, the linear inequality is:

y ≤ mx + c

This gives

y ≤ 1/2x + 2

Hence, the linear inequality represented by the graph is y ≤ 1/2x + 2

Read more about linear inequality at:

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The fraction that represents the addition model shown above will be 53/100.

From the information given, a grid with 10 equal columns is shown with 5 shaded in. This will be expressed as 5/10.

Also, a second grid is shown, identical in size, containing 100 squares with 3 shaded in. This will be expressed as 3/100.

Therefore, the problem that represents the addition model shown above will be:

= 5/10 + 3/100

= 50/100 + 3/100

= 53/100

In this case, the answer given by Emma is incorrect as he added 5 to 3 and got 8/100.

Learn more about fractions on:

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Answer:

[tex]\frac{y^2x^3*12}{10}[/tex]

Step-by-step explanation: