Select the correct answer from each drop-down menu. A quarter is approximately 0.07 inches thick. A dollar bill is approximately 4.3 × 10-3 inches thick. A is thicker than a by m × 10n inches, where m = and n = . Undo

Answer:

second option

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ( where r is the radius )

Here r = 6 , thus

V = [tex]\frac{4}{3}[/tex]π(6)³

Answer:

Second option

Step-by-step explanation:

Volume of a sphere =  [tex]\frac{4}{3}*\pi *r^{3}[/tex]

→ Substitute in the value of radius

Volume of a sphere =  [tex]\frac{4}{3}*\pi *6^{3}[/tex]

To reflect a function across the x axis, we just stick a negative in front. This will make all point's y coordinates to go from positive to negative or vice versa. If the original function already has a negative out front, then remove it.

Answer:

v=3

Step-by-step explanation:

First you must use the distributive property to solve for v. To do this multiply ever term in the parentheses by -5 on the right-hand side to get -110=-5-35v

Now you can solve by adding 5 to both sides, cancelling out the -5 on the right-hand side of the equation and getting -105=-35v. Now, all you have to do is divide both sides by -35 and get 3=v.

Answer:

v = 3

Step-by-step explanation:

-110 = -5(1 + 7v)

-110 = -5 + -35v

-110 + 5 = -35v

-105 = -35v

Divide both sides of the equation by -35 so v can stand alone

[tex]\frac{-105}{-35} = \frac{-35v}{-35}[/tex]

3 = v

∴v = 3

Answer:

Foil the expression and solve the derivative with respect to b at f'(x)=0[tex]2b^2+3b+5=6b\\d/dx(2b^2+9b+5=0)\\4b+9=0\\b=-9/4[/tex]

Step-by-step explanation:

Answer:

The third number is 195-3x

Step-by-step explanation:

Given:

sum of three numbers, a, b, c is 180.

a=2x-11

b=x-4

c= ?

Solution:

a+b+c = 180

2x-11 + x-4 + c = 180

c = 180 - (2x-11) - (x-4)

= 180 -2x+11 - x+4

= 180 + 11 + 4 -2x -x

= 195 -3x

Answer:

D

Step-by-step explanation:

Answer:

A. Net

Step-by-step explanation:

Answer:

a. net

Step-by-step explanation:

The net of a 3D shape is how it looks unfolded. A net can easily be put back together.

Hope this helps! :)

Answer:1/4

Step-by-step explanation:

Each term is multiplied by 1/4 to get to the next

Therefore 1/4 is the common ratio

Answer:

0.4

Step-by-step explanation:

The question is not complete, the correct question is:

Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to the nearest tenth, if necessary

Answer: Two events (event X and event Y) are said to be independent if the probability of event X occurring does not affect the probability of event Y occurring and vice versa. If the probability of X = P(X) and the probability of Y = P(Y), therefore P(X and Y) = P(X) × P(Y).

Given that P(Y) = 5/6 and P(X and Y) = 1/3. Therefore:

P(X and Y) = P(X) × P(Y)

Making P(X) the subject of formula by dividing through by P(Y) gives:

[tex]P(X)=\frac{P(X\ and\ Y)}{P(Y)} \\Substituting\ values:\\P(X)=\frac{\frac{1}{3} }{\frac{5}{6} }=\frac{1}{3} *\frac{6}{5}=\frac{2}{5}=0.4\\ P(X)=0.4[/tex]

Answer:

0.4

Step-by-step explanation:

edg 2021

Answer:

[tex]3\sqrt{17}$ or \approx 12.37$ Units[/tex]

Step-by-step explanation:

In the attached diagram

CA=CO+OA

CO=DB

Therefore:

5=2+OA

OA=3 Units

The angle between a tangent line and a radius is 90 degrees. therefore triangle OAB is a right triangle with:

OB=12 units

OA=3 units

Using Pythagoras theorem

[tex]AB=\sqrt{3^2+12^2}\\ =\sqrt{153}\\=3\sqrt{17}$ or \approx 12.37$ Units[/tex]

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [ a, b ] is

[tex]\frac{h(b)-h(a)}{b-a}[/tex]

Here [ a , b ] = (- 2, 2 ] , thus

h(b) = h(2) = [tex]\frac{1}{8}[/tex] (2)³ - 2² = 1 - 4 = - 3

h(a) = h(- 2) = [tex]\frac{1}{8}[/tex] (- 2)³ - (- 2)² = - 1 - 4 = - 5 , thus

average rate of change = [tex]\frac{-3-(-5)}{2-(-2)}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

Explanation:

Triangles HIG and FED are similar triangles. We know this because we have two pairs of angles that are congruent (angle G = angle D; angle I = angle E). Use the AA (angle angle) similarity theorem.

Since angles G and D are congruent, computing sin(D) is equivalent to finding sin(G)

sin(angle) = opposite/hypotenuse

sin(G) = IH/HG

sin(G) = 77/85

sin(D) = 77/85

Answer:

C. 12,000≤715m+645

Step-by-step explanation:

You want to have either equal to or more than 12,000

Answecr:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know:

We have:

HCF(6, x) = 2 and LCM(6, x) = 60.

Substitute:

60 · 2 = 6 · x

120 = 6x             divide both sides by 6

20 = x → x = 20

Substitute to x² + 3x:

20² + 3(20) = 400 + 60 = 460

Answer:

AB║CD and AD║BC

Step-by-step explanation:

By the property of a parallelogram,

" Consecutive angles of a parallelogram are supplementary"

In the figure attached,

∠DCB and ∠CDA are the supplementary angles. Therefore ABCD will be a parallelogram.

[Given: m(∠DCB) + m(∠CDA) = 180°]

And the pair of opposite sides of the parallelogram ABCD will be parallel.

AD║BC and AB║CD

Answer:

c/3, the sequence is NOT geometric because 2/3 was added to each term to get the next term.

Step-by-step explanation:

geometric sequences are multiplying, arithmetic sequences are addition.

1/3

1/3+2/3= 1 (or 3/3)

3/3+2/3= 5/3

5/3+2/3= 7/3

this is arithmetic, not geometric

Answer:

0.5

Step-by-step explanation:

Let D be the event of selecting a marble with dots.

Let P be the event of selecting a purple marble.

The probability of selecting a marble with dots, P(D)=0.2

The probability of selecting a marble that is both purple and has dots, [tex]P(D \cap P)=0.1[/tex]

We want to determine the probability of selecting a purple marble given that the marble has dots on it, P(P|D)

By the definition of conditional probability:

[tex]P(P|D)= \dfrac{P(P \cap D)}{P(D)} \\= \dfrac{0.1}{0.2}\\ =0.5[/tex]

The probability of selecting a purple marble given that the marble has dots on it is 0.5.

Answer:

21

Step-by-step explanation:

[tex] \frac{25}{100} \times 84[/tex]

Answer:

21

Step-by-step explanation:

Answer:

2x^2+x-1/x^2-1

x^2+11x+18/x^2-11x+18

2x^2-5x+3/x^2+4x+3

Step-by-step explanation:

1.2 and 5

Answer:

Solution,

[tex]5 \frac{3}{4} \div 1 \frac{1}{2} [/tex]

Convert the mixed number to an improper fraction

[tex] \frac{23}{4} \div \frac{3}{2} [/tex]

To divide by a fraction, multiply by the reciprocal of that fraction

[tex] \frac{23}{4} \times \frac{2}{3} [/tex]

Reduce the numbers with the GCF 2

[tex] \frac{23}{2} \times \frac{1}{3} [/tex]

Multiply the fraction

[tex] \frac{23}{6} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

48 miles.

Step-by-step explanation:

Her average speed was 12 miles per hour. She traveled for 4 hours. We can set up a proportion that shows that she traveled 12 miles over 1 hour, so she traveled x miles over 4 hours.

[tex]\frac{12}{1} =\frac{x}{4}[/tex]

1 * x = 12 * 4

x = 48

So, the cyclist traveled 48 miles.

Hope this helps!

Answer: 48 miles

Explanation: Well obviously if you've been on the road for 4 hours and you're traveling at 12 miles per hour, you end up going 48 miles.

Mathematically speaking we get that

by multiplying 12 × 4 to equal 48.

This 12 represents our rate.

This 4 represents the number of hours or our time.

The 48 represents the 48 miles or our distance we've travelled.

So our rate × time = distance.

This formula is a very popular one in algebra.

Answer:

the slope of the perpendicular bisector is -2/3

Step-by-step explanation:

The slope of the line joining the two points P1(0,3), P2(6,12) is given by

m1 = (y2-y1) / (x2-x1) = (12-3) / (6-0) = 9/6 = 1.5

The slope m2 of a line perpendicular to the previous line is given by

m1*m2 = -1

solving

m2 = -1/m1 = -1/ (3/2) = -2/3

THerefore the slope of the perpendicular bisector is -2/3

Answer:

6-3/0-(-4)

=3/4

Step-by-step explanation:

Given two points of a line to find the slope, we use the formula.y2-y1/x2-x1 hence the answer above. Our xs are x2=0 x=-4 y2=6 y1=3

Answer:

1 and 3

Step-by-step explanation:

The lines 1 and 3 divide the shape into 2 identical parts so they are axes of symmetry

The line of symmetry for the given figure is 1 and 3.

We need to find the line of symmetry for the given figure.

Line symmetry is a type of symmetry where one-half of the object reflects the other half of the object across the line.

In the given figure we can see line 1 and 3 divides the figure into two halves.

Therefore, the line of symmetry for the given figure is 1 and 3.

To learn more about the line of symmetry visit:

https://brainly.com/question/1597409.

#SPJ2

Answer:

11, 17, 24

Step-by-step explanation:

Given;

Lowest number = 11

The range = 13

Medium = 17

Range = highest number - lowest number

highest number = lowest number + range

Highest number = 11 + 13 = 24

Median number is given as 17

Therefore,

The numbers are;

11, 17, 24

Step-by-step explanation:

V= π*r²*h

V/π = r²*h

v/(π*r²) = h

[tex]\frac{x+y}{3}[/tex] = 5

x+y = 15

x = 15-y

Answer: k = 4

Step-by-step explanation:

For this division, to determine the value of k, use the Remainder Theorem, which states that:

polynomial p(x) = dividend (x-a) * quotient Q(x) + remainder R(x)

Knowing the degree of quotient is

degree of Q = degree of p(x) - degree of (x-a)

For this case, Q(x) is a third degree polynomial.

Using the theorem:

[tex]x^{4}-3x^{2}+kx-2 = (x-2)(ax^{3}+bx^{2}+cx+d) + 10[/tex]

[tex]x^{4}-3x^{2}+kx-2 = ax^{4} + x^{3}(b-2a)+x^{2}(c-2a)+x(d-2c)-2d+10[/tex]

a = 1

b - 2a = 0 ⇒ b = 2

c - 2b = -3 ⇒ c = 1

-2d + 10 = -2 ⇒ d = 6

d - 2c = k ⇒ k = 4

Therefore, k = 4 and Q(x) = [tex]x^{4} -2x^{2} + 4x + 2[/tex]

Answer:

1st fig ans=12x ^2-7x-21.

2nd fig ans

i) ( x-15)(x+2)

ii) 2(x+7)(x-9)

iii) -3x(2x+1)(5x-3)

Hope it will help uh....

Answer:

1C 2 D 3 c

Step-by-step explanation:

1, X^2-13x-30

X^2-15x+2x-30

X(x-15)+2(x-15)

(X+2)(x-15)

2, 2x^+4x-126..... Simplified As

(2x-14)(x+9)

3, -30x^3+3x^2+9x ..... Simplified as

-3x(2x+1)(5x-3)