Can you guys answer b

Can You Guys Answer B

Answers

Answer 1

Answer:

2-1

Step-by-step explanation:

[tex] ({2}^{0} + {2}^{1} + {2}^{2} + {2}^{3}) + {2}^{4} + {2}^{5} \\ = ({2}^{4} - 1) + {2}^{4} + {2}^{5} \\ = 2( {2}^{4} ) + {2}^{5} - 1 \\ = {2}^{5} + {2}^{5} - 1 \\ = 2( {2}^{5} ) - 1 \\ = {2}^{6} - 1[/tex]


Related Questions

Gretchen made a paper cone to hold a gift for a friend. The paper cone was 15 inches high and had a radius of 2 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.

Answers

Answer

91.67inch^3

Step-by-step explanation:

The volume of a cone can be calculated using below formula

V= 1/3 π.r^2h

Where h= height of the cone

r= radius of the cone

V= volume of the cone

Given :

height= 11 inches

radius= 5 inches

π= 3.14

Then substitute into the formula we have

V= 1/3 × 3.14× 5^2 ×11

V= 91.67inch^3

Therefore volume of the cone is 91.67inch^3

45 POINTS!!!! HELP

A Ferris wheel at an amusement park is modeled by (x – 80)^2 + (y – 80)^2 = 5,625, where the measurements are in feet. A slingshot attraction is modeled by y = –3x^2 + 72x – 280. Which attraction reaches a greater height, and what does it represent in terms of the context?

A.The slingshot reaches a greater height at 280 feet, which is the vertex of the parabola.
B. The Ferris wheel reaches a greater height at 155 feet, which is the highest point on the circle.
C. The slingshot reaches a greater height at 152 feet, which is the vertex of the parabola.
D. The Ferris wheel reaches a greater height at 150 feet, which is the highest point on the circle.

Answers

The correct answer : B. The Ferris wheel reaches a greater height at 155 feet, which is the highest point on the circle.

Find a polynomial of least possible degree having the graph shown

f(x)=0

Answers

The polynomial of least possible degree having the graph as given is; f(x) = x³-8x²+x +42.

Polynomial of least possible degree

It follows from the graph that the roots of the polynomial are; -2, 3 and 7.

On this note, the factors of such polynomial are;

Hence; (x+2)(x-3)(x-7) = f(x)

f(x) = x³-8x²+x +42

Read more on polynomials;

https://brainly.com/question/2833285

30 POINTS! Combine the like terms of the 2 questions below:

1. y + 4 + 3(y + 2)

2. 0.5(x⁴ - 3) + 12

Answers

Answer:

[tex]\tt 1)\: \boxed{\tt 4y+10}[/tex]

[tex]\tt 2)\:\boxed{\tt 0.5x^4+10.5}[/tex]

Step-by-step explanation:

1) y + 4 + 3(y + 2)

Expand:-

[tex]\tt y+4+3y+6[/tex]

Combine like terms:-

[tex]\tt y+3y+4+6[/tex]

[tex]\boxed{\tt 4y+10}[/tex]

__

2) 0.5(x⁴ - 3) + 12

Expand:-

[tex]\tt 0.5x^4-1.5+12[/tex]

Add/Subtract Numbers:-

[tex]\boxed{\tt 0.5x^4+10.5}[/tex]

___________________

find the amount of hydrogen in a liter of acid rain that has a pH of 5.5 math

Answers

To calculate hydronium concentration from pH, type on you calculator

10 to the power of negative pH value

10^-5.5 = 3•10^6 mol/L

Since there are 3 hydrogens in every hydronium molecule,

There are 9 • 10^6 hydrogens in that liter of acid.

Solve 3 log 2x = 4. Round to the nearest thousandth if necessary.

5

2.783

10.772

Answers

best answer of this equation is 10.772

Answer: 10.772

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

exact form:

x= 10 4/3

--------- (its a fraction)

2

decimal form: 10.77217345....

after that round to the nearest thousandth.

I can only manage to get 3/4 and i know i got the answer right so can someone please help me?

Answers

Answer:

See below.

Step-by-step explanation:

A(1, 4)

B(3, 0)

C(-3, -2)

We find the coordinates of he midpoints using the midpioint formula.

D([1 + 3]/2, [4 + 0]/2) = D(2, 2)

E([1 + (-3)]/2, [4 + (-2)]/2) = E(-1, 1)

We find the slopes using the slope formula.

slope of BC:

m_BC = (-2 - 0)/(-3 - 3) = -2/(-6) = 1/3

slope of DE:

m_DE = (1 - 2)/(-1 - 2) = -1/(-3) = 1/3

Since the slopes of BC and DE are equal, the lines are parallel.

2 Which equation represents the relationship
shown in the table below?
(8.5A)
9
AW
3
4
5
10
7
16
11
28
22
Ay
A y = 6x + 3
B y = 3x - 5
C y = (x - 5
D y = 3x + 3

Answers

Answer:

3x - 5 fits the equation perfectly

Step-by-step explanation:

if we put the following value in X we get,

x processing y

3. 3*3 - 5. 4

5. 3*5 - 5. 10

7. 3*7 -5. 16

9. 3*9 - 5. 22

11. 3*11 - 5. 28

find the product using suitable rearrangement (-18) multiply (-10) multiply 9​

Answers

Answer:

1620

Step-by-step explanation:

(-18)×(-10)×9= 1620

Determine each feature of the graph of the given function.
2x + 8
f(x) =
x² + x
x - 12

Answers

[tex]x=\frac{1+4f-\sqrt{16f^{2}+8f+25 } }{2}[/tex]

Please help on math.​

Answers

Answer:

832.5²

Step-by-step explanation:

Base x height ÷ 2 is the formula to find a triangles area.

45 x 37= 1665 then 1665 ÷ 2 = 832.5 dont forget to add the ²

Answer:

832.5²

Step-by-step explanation:

Between what two whole numbers does your answer lie in 30/8?

Answers

Answer:

3 and 4

Step-by-step explanation:

30/8=3.75

3.75 lies between 3 and 4

Hey there!

30/8

= 30 ÷ 2 / 8 ÷ 2

= 15 / 4

≈ 3 3/4

≈ 3.75


It falls in between three (3) and four (4). But, fun fact it rounds to up to four (4)


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Which inequality describes the graph?

y ≥ 1/2x – 2

y < 1/2x – 2

y ≤1/2 x – 2

y >1/2 x – 2

Answers

[tex]y < \frac{1}{2} x - 2 \\ [/tex]

Have a great day ♡♡♡♡♡

How do you write 158.1 as a decimal

Answers

Step-by-step explanation:

1.581 × 10² like this ? : )

Dwayne bought 12 yards of wrapping paper.
How many inches of wrapping paper did he buy?

Answers

since there are 36 inches in 1 yard, 12 yards will have 12(36) = 432 inches.

Determine whether 2x+2y= -6 is a function?

Answers

Answer:

It's a function because when you simplify it becomes y=-x-3. the only reason it wouldn't be a function would be if the equation were to be x = a random number that is not a variable. The equation would not pass the vertical line test which is the requirement to see if an equation is a function.

Simply put, it's a function.

PLEASE HELP ASAP
Describe the rate of change modeled by this graph.
A) positive
B) negative
C) no change
D) a change that is undefined

Answers

Positive because it is a line going up

could someone please help me really quickly?

Answers

[tex]6x^2 +17x -3\\\\=6x^2 +18x-x-3\\ \\=6x(x+3)-(x+3)\\ \\=(x+3)(6x-1)\\\\\text{The length and width of the rectangle are}~ (6x-1)~ \text{and}~ (x+3)[/tex]

Answer:

[tex]\textsf{length}=6x - 1[/tex]

[tex]\textsf{width}=x+3[/tex]

Step-by-step explanation:

Area of a rectangle = length × width

Given area:  [tex]A=6x^2+17x-3[/tex]

Therefore,  [tex]6x^2+17x-3=\sf length \cdot width[/tex]

To find the length and width, we need to factorize the given expression for area.

To factor a quadratic in the form [tex]ax^2+bx+c[/tex]

Find 2 two numbers (d and e) that multiply to ac and sum to bRewrite b as the sum of these 2 numbers: d + e = bFactorize the first two terms and the last two terms separately, then factor out the comment term.

[tex]6x^2+17x-3 \implies a=6, b=17, c=-3[/tex]

[tex]ac=6 \cdot -3=-18[/tex]

[tex]d+e=17[/tex]

So we are looking for a pair of numbers that multiply to -18 and sum to 17.

Factors of 18: 1, 2, 3, 6, 9, 18

Therefore, the two numbers (d and e) that multiply to -18 and sum to 17 are:

18 and -1

Rewrite [tex]17x[/tex] as [tex]+18x-x[/tex]:

[tex]\implies 6x^2+18x-x-3[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 6x(x+3)-1(x+3)[/tex]

Factor out common term [tex](x+3)[/tex]:

[tex]\implies (6x-1)(x+3)[/tex]

As length > width,

[tex]\textsf{length}=6x - 1[/tex]

[tex]\textsf{width}=x+3[/tex]

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is

prime". Let B be the event "the outcome is a divisor of 3". Find P(A|B).

Answers

Answer:


P(A|B) = 0.5


Step-by-step explanation:


A: set of prime numbers ={1,2,3}


B: set of divisors of 3 ={1,3}


P(A)=P(1)+P(2)+P(3)= 0.1+0.1+0.3 =0.5


P(B)=P(1)+P(3)=0.1+0.3=0.4


P(A|B) means: probability of A knowing that B


In other words we have to find the probability that a prime outcome occurs knowing that it is a divisor of 3


Its formula is given by:


P(A|B) = P(AintersectionB) /P(B)


A intersection B: outcome is prime and a divisor of 3 at the same time. (common elements between sets A and B)


A int B= {1,3}


P(AintB)= P(A)xP(B) = 0.5x0.4=0.2


Now back to the formula:


P(A|B) =P(AintB) / P(B)


=0.2/0.4=0.5


HOPE THIS HELPS :)




In the ordered pair (2, 7), the number 2 is the y-coordinate.
In the ordered pair ( 2, 7 ) , the number 2 is the y-coordinate.
In the ordered pair ( 2, 7 ) , the number 2 is the y-coordinate.
The horizontal axis in a coordinate plane is the x-axis.
The horizontal axis in a coordinate plane is the x-axis. – The horizontal axis in a coordinate plane is the x-axis.
The y-axis is also called the origin.

Answers

Answer:

The origin is at (0,0) its where the x and y coordinate intersect.

Step-by-step explanation:

what was the question here?

which of the following value, when multiplied by 2/3, results in a product that is greater than 2/3

a. 2/3
b 3/2
c 3/4
d 4/4

Answers

Answer:

b

Step-by-step explanation:

2/3 * 2/3 = 4/9

2/3 * 3/2 = 1

2/3 * 3/4 = 1/2

2/3 * 4/4 = 2/3

The answer is B hope this helps

The ratio of girls to boys in the sixth grade class is seven to six. If there are 84 girls, how many boys are in the sixth grade?

Answers

Answer:

72

Step-by-step explanation:

84/7 = 12

12 × 6 = 72

84 to 72

Answer:

72

Step-by-step explanation:

divide 84 by 7, and then multiply 12(what you got from the division) by 6 and you get 72

NO LINKS!!

The Odd Man Out!
PART 2:
For each set of figures below, three are similar (meaning that they are related through a sequence of transformations including dilation), and one is an exception. Find the exception in each set of figures and answer the questions for each set. ​

Answers

Answer:

  a. exception: C; obtuse angle with a different measure

  b. corresponding angles are congruent; corresponding sides are proportional

  c. corresponding angles are congruent among the similar triangles; they are not congruent when the triangles are not similar

  d. corresponding sides are porportional; they are not proportional when the triangles are not similar

Step-by-step explanation:

As you know, similar triangles have congruent corresponding angles, and proportional corresponding sides. This gives them the same shape, but they may be of differenent sizes.

__

a.

Figure C appears to have a larger smallest angle and a smaller largest angle than the rest of the figures. Its long side relative to its second-longest side appears to be shorter, consistent with a smaller largest angle.

__

b.

The similar triangles have congruent corresponding angles and proportional corresponding sides.

__

c.

See (b) regarding similar triangles. Non-similar triangles have different angles.

__

d.

See (b) regarding similar triangles. Non-similar triangles have different side proportions.

Identify the trinomial that is a perfect square.
A. 9x2 + 30x + 16
B. 16x2 + 20x + 9
C. 36x2 + 60x + 25
D. 4x2 + 30x + 25

Answers

Answer:

Option C, [tex]36x^2 + 60x + 25[/tex]

Step-by-step explanation:

Step 1:  Determine the perfect square

According to online, "When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)². This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b)"

The only one that seems to work is Option C so lets factor it.

[tex]36x^2 + 60x + 25[/tex]

[tex](6x + 5)(6x + 5)[/tex]

[tex](6x + 5)^2[/tex]

Yup!  We can see that Option C would give us a perfect square

Answer:  Option C, [tex]36x^2 + 60x + 25[/tex]

given a force of 88N and acceleration of 4m/s what is the mass

Answers

Answer:

F = ma

m = F/a

m = 88/4

m = 22 kg

Step-by-step explanation:

Which answer best describes the shape of this distribution?


bell-shaped

skewed left

uniform

skewed right

Answers

Answer:

Skewed right

Step-by-step explanation:

There is a 'tail' towards the right.

Hexagon BCDEFG is shown below. Each square on the grid is a unit square. What is the area of the
hexagon in square units?

Answers

Answer:

B. 100 units

Step-by-step explanation:

What I did was I couunted the lines at the bottum and since it was 10 then I counted up  and that was 10 so you would do 10x10 get 100 units.

for the function f, use compisition of functions to show that f^-1 is a given.
let f(x)=(1+x)/x show that f^-1(x)=1/x-1

Answers

Step-by-step explanation:

If we have f(x) and it's inverse, and we compose them

we will get

[tex]f {}^{ - 1} (f(x) = x[/tex]

So here we compose

[tex]( \frac{1}{ \frac{1 + x}{x} - 1} )[/tex]

[tex]( \frac{1}{ \frac{1}{x} + 1 - 1} [/tex]

[tex] \frac{1}{ \frac{1}{x} } [/tex]

[tex]x [/tex]

So the composition is x, so they are inverses.

16. Given that k is a real constant such that 0 < k < 1. Show that the roots of the equation kx2 + 2x + (1 – k) = 0, are С (i) Always real (ii) Always negative​

Answers

Answer:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]

Given equation: [tex]kx^2+2x+(1-k)=0[/tex]

[tex]\implies a=k,\:b=2,\:c=(1-k)[/tex]

[tex]\begin{aligned}\implies b^2-4ac & =(2)^2-4(k)(1-k)\\ & =4-4k(1-k)\\ & =4-4k+4k^2\\ & = 4k^2-4k+4 \end{aligned}[/tex]

Complete the square:

[tex]\begin{aligned}\implies 4k^2-4k+4 & =4(k^2-k+1)\\ & = 4\left[k^2-k+\left(\dfrac{-1}{2}\right)^2+1-\left(\dfrac{-1}{2}\right)^2\right]\\ & = 4\left[\left(k-\dfrac12\right)^2+\dfrac34\right]\\ & = 4\left(k-\dfrac12\right)^2+3\end{aligned}[/tex]

[tex]\textsf{As }\left(k-\dfrac12 \right)^2 \geq 0 \implies 4\left(k-\dfrac12 \right)^2+3\geq 3[/tex]

Therefore, the roots are always real.

The variables x and y vary directly. Given the equation y = 2x , find the value of x when
y = 10.
a. 10
c. 20
b. 5
d. 8

Answers

The answer for this question is 5
Answer:
The answers B, 5


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