Timmy drops two objects: a small book, and a bowling ball. The bowling ball has a mass of 3.6 kg and the book has a mass of 1.4 kg. If there is no air resistance, which object will fall at a faster rate? Explain.​

Answer:

see explanation

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 , ∠ 5 , ∠ 6 are exterior angles of the triangle

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

(14)

∠ 1 and ∠ 4 are adjacent angles and sum to 180° , then

∠ 1 = 180° - 58° = 122°

∠ 2 + ∠ 3 = ∠ 4

∠ 2 + 32° = 58° ( subtract 32° from both sides )

∠ 2 = 26°

∠ 5 = ∠ 1 + ∠ 3 = 122° + 32° = 154°

∠ 6 = ∠ 1 + ∠ 2 = 122° + 26° = 148°

(15)

∠ 4 = ∠ 2 + ∠ 3 = 11° + 143° = 154°

∠ 1 = 180° - ∠ 4 = 180° - 154° = 26°

∠ 5 = ∠ 1 + ∠ 3 = 26° + 143° = 169°

∠ 6 = ∠ 1 + ∠ 2 = 26° + 11° = 37°

Answer:

B. 71°

Step-by-step explanation:

Parallel lines are the same

Answer:

measure of angle 1 is equal to 71.

Answer:

Answer is D

Just expand

And remember

[tex] \sqrt{ - a} = \sqrt{a} i[/tex]

Goodluck tomorrow

Answer:

ask your teacher for help.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

you have to solve each equation to find the smallest to largest.

Answer: it is choice b . The second choice is correctly ordered from greatest to largest .

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Answer:

7.069 in

Step-by-step explanation:

1.5*1.5* 3.14159265359

Answer:

the answer is 14.79... hope this helps

Answer:

16+ inches i think

Step-by-step explanation:

beacuse the with is 16 meanimg it nedds to be the same or bigger

Answer:

B. 5/8

Step-by-step explanation:

To find this you will want to find what the 2 denominators have in common. In this instance if you multiply 4 by 2 you will get 8. Once you find what you can do to get the same denominators you will multiply the numerator with the same number as the denominator. So 4x2 and 1x2 gives us 2/8 as our new fraction. After this adding fractions is much simplier. It's as simple as adding the numerators together and keeping the denominator as the same. 3/8 + 2/8 = 5/8.

Answer:

See below ~

Step-by-step explanation:

Applying the rule (x - 5, y - 3) to the coordinates :

The coordinates are :

As evidenced by the rule :

The rectangle is translated 5 units to the left and 3 units down.

Answer:

A=wl

Step-by-step explanation:

with x linth = area

Answer:

area of rectangle=lxb

Step-by-step explanation:

using the formula

The total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.

A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.

We have:

Total number of outcomes for pyramid = 4

Total number of outcomes for spinner = 5

Total outcomes = 4×5  (multiplication rule of counting)

= 20

Thus, the total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.

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Answer:

V = 162 ft³

Step-by-step explanation:

given 2 similar figures with ratio of sides a : b , then

ratio of volumes is a³ : b³

here ratio of sides = 3 : 1 , then

ratio of volumes = 3³ : 1³ = 27 : 1

this means that the volume of figure A is 27 times the volume of figure B

volume (V) of figure A is then

V = 27 × 6 = 162 ft³

Answer:

an average of around 16 calls per day

Step-by-step explanation:

Simply divide 500 by 30 and that comes out to 16.66666

But because you cannot take half a call you just use 16 as your answer!

The expression that is equivalent to [tex](\frac{m-4}{m^4})/ m^2[/tex] is the expression [tex]\frac{m-4}{(m^4)(m^2)}[/tex]

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the expression:

[tex](\frac{m-4}{m^4})/ m^2\\\\This\ can\ be\ simplified\ to:\\\\(\frac{m-4}{m^4})*\frac{1}{m^2} \\\\=\frac{m-4}{(m^4)(m^2)}[/tex]

The expression that is equivalent to [tex](\frac{m-4}{m^4})/ m^2[/tex] is the expression [tex]\frac{m-4}{(m^4)(m^2)}[/tex]

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Answer:

A

or M-4 / ( M + 4 ) ( M + 2 )

StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction

Step-by-step explanation:

Answer:

Which graph models Y<1/2|X-2| ...........no.2

Answer:

19.5%

Step-by-step explanation:

probability of getting a, e, i, o, u is 5/26(total alphabets)

change 5/26 to percentage

The minimum value of the product is -8.

The minimum value is the y value of the lowest point on the graph.

The function y = 2x-8 and we have to find the minimum value of the XY.

Plugging the value of y in the product;

[tex]\rm f(x)=x(2x-8)\\\\f(x)=2x^2-8x[/tex]

f(x) represents an upward parabola and we know that for an upward parabola, the minimum point is the vertex.

So in order to find the minimum value, we find the y coordinate of the vertex of the parabola.

The x-coordinate of the parabola is given by;

[tex]\rm = \dfrac{-b}{2a}\\\\=\dfrac{-8}{2\times 2}\\\\ =\dfrac{-8}{4}\\\\=-2[/tex]

The y -coordinate of the parabola is;

[tex]\rm f(x)=2x^2-8x\\\\f(2)=2(2)^2-8(2)\\\\f(2)=2\times 4-16\\\\ f(2)=8-16\\\\ f(2)=-8[/tex]

The vertex is (2,-8)

Hence, the minimum value of the product is -8.

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The probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds is 0.74.

Probability is the branch of mathematics, which discusses the occurrence of a random experiment.

The average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds.

The standard error of the sample will be:

[tex]\rm Standard \ error=\dfrac{Standard deviation}{\sqrt{ Number \ of \ babies} }\\\\\rm Standard \ error=\dfrac{1.2}{\sqrt{ 4} }\\\\Standard \ error=\dfrac{1.2}{2}\\\\Standard \ error=0.6[/tex]

The probability that the average of four babies P(4 babies will be between 8.4 - 9.6 pounds) is;

[tex]\rm P(6.8\leq X\leq 9.2)= \left( \dfrac{6.8-8}{0.6}\leq X\leq \dfrac{9.2-8}{0.6} \right )\\\\\rm P(6.8\leq X\leq 9.2)= \left( \dfrac{-1.2}{0.6}\leq X\leq \dfrac{1.2}{0.6} \right )\\\\\rm P(6.8\leq X\leq 9.2)= \left( -2\leq X\leq 2 \right )\\\\\rm P(6.8\leq X\leq 9.2)= P(Z\leq -2)-P(Z\leq 2)\\\\ P(6.8\leq X\leq 9.2)=0.97-0.22\\\\ P(6.8\leq X\leq 9.2)=0.74[/tex]

Hence, the probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds is 0.74.

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The answer is C. when you plug in your equation you should get a decimal but make sure to round up or down to the nearest WHOLE number so it would be C.

Answer:

Step-by-step explanation:

(√2 + √3)² · (√5 - √2)²

use (a ± b)² = a² ± 2ab + b²

= [(√2)² + 2(√2)(√3) + (√3)²] · [(√5)² - 2(√5)(√2) + (√2)²]

= (2 + 2√6 + 3) · (5 - 2√10 + 2)

= (5 + 2√6)(7 - 2√10)

use FOIL: (a + b)(c + d) = ac + ad + bc + bd

= (5)(7) + (5)(-2√10) + (2√6)(7) + (2√6)(-2√10)

= 35 - 10√10 + 14√6  - 4√60

= 35 - 10√10 + 14√6 - 4√(4 · 15)

= 35 - 10√10 + 14√6 - 4 · √4 · √15

= 35 -10√10 + 14√6 - 4 · 2 · √15

= 35 -10√10 + 14√6 - 8√15

[tex]\left(\sqrt 2 +\sqrt 3 \right)^2 \left( \sqrt 5 - \sqrt 2\right)^2\\\\=\left( 2+2\sqrt 6 +3\right)\left( 5-2\sqrt{10}+2\right)\\\\=\left( 5+2\sqrt6\right)\left( 7-2\sqrt{10}\right)\\\\=35-10\sqrt{10}+14\sqrt6-4\sqrt{60}\\\\=35-10\sqrt{10}+14\sqrt6-4\sqrt{4 \times 15}\\\\=35-10\sqrt{10}+14\sqrt6-8\sqrt{15}\\[/tex]

Theorem : Let p be a prime number. If p divides a²  , (where a is a positive integer),  then p divides aLet say prime factors of a area = p₁ , p₂ , p₃ ........., pₓ   where p₁ to pₓ are prime numbera = (p₁ × p₂ × p₃ ×.........× pₓ)a² =  (p₁ × p₂ × p₃ ×.........× pₓ) (p₁ × p₂ × p₃ ×.........× pₓ)if p divides a² then it is one of  (p₁ × p₂ × p₃ ×.........× pₓ)as a = (p₁ × p₂ × p₃ ×.........× pₓ) so p divides aVerification forp = 2, p = 5 and for a square = 1, 4, 9, 25, 36, 49, 64 and 81.2 is factor of 4 , 36 & 642 is factor of 2 , 6 & 85 is factor of 255 is a factor of 5 also

Answer:

B

Step-by-step explanation:

actually the question is about to solve x and y

x + y = 24, x = 24 - y, put into the other equation

3x + 5y = 100

3(24 - y) + 5y = 100

72 - 3y + 5y = 100

2y = 28

y = 14

x = 24 - 14 = 10

no. of 3 point question = 10, no. of 5 point question = 14

Answer:

21 divided by 3

21 divided by 7

7 times by 3

Answer:

can u help me for me ques pls

Check the picture below.

[tex]\cfrac{\stackrel{A~radius}{(12)^3}}{\underset{B~radius}{(30)^3}}~~ = ~~\cfrac{\stackrel{A~volume}{48}}{\underset{B~volume}{V}}\implies \cfrac{1728}{27000}~~ = ~~\cfrac{48}{V}\implies \cfrac{8}{125}~~ = ~~\cfrac{48}{V} \\\\\\ 8V=(48)(125)\implies V=\cfrac{(48)(25)}{8} \\\\\\ V=\cfrac{48}{8}25\implies V=6(25)\implies V=150[/tex]

Answer:

A) f(x) = |x|

B) f(x) = -|x+3| + 3

Step-by-step explanation:

Absolute value functions

The general form of an absolute value function is f(x) = a|x-b| +c

a indicates the 'amplitude' or multiplier

b indicates horizontal shift

c indicates vertical shift

The turning point of f(x) = |x| is (0, 0)

a = y/x when b = 0 and c = 0

A) f(x) = |x|

Since the turning point is still (0, 0) there is no horizontal nor vertical shift, meaning b = 0 and c = 0

We have the point (2, 2), thus a = 2/2 = 1

f(x) = a|x-b| + c

f(x) = |x|

B) f(x) = -|x+3| + 3

The turning point is at (-3, 3) b = -3 and c = +3

We have the point (3, -3), thus a = y/x = -3/3 = -1

f(x) = a|x-b| + c

f(x) = (-1) (|x-(-3)|) + (+3)

f(x) = -|x+3| + 3

Answer its one

Step-by-step explanation:

The option that describes the accuracy of Carl's solution in the Pythagoras is C. Carl's work is correct but he incorrectly labeled the leg lengths in step 2.

It should be noted that a Pythagoras theorem is a theorem that states that the sum of the squares that are on the leg of a right angle will be equal o the square of the hypotenuse.

In this case, the steps given show that Carl's work is correct but he incorrectly labeled the leg lengths in step 2.

Therefore, the correct option is C.

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Answer:

c

Step-by-step explanation:

Carl’s work and answer are incorrect. He choose a vertex, V, that does not make a right triangle with MN.

Answer:

1

Step-by-step explanation:

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

Here, both of these angles are 51 so they will be equal to 1.

Answer:

Answers below

Step-by-step explanation:

1. 77,915.06

A=2*50( this is a subscript 50)+(50+50+50)505

2. 5.47×105 or 547,000

3. 211045.04

I'm pretty confident that these are all correct but double check them first.

Answer:

No, it is not a right triangle.

Using the Pythagorean theorem the longest side would need to be 21.26 meters , not 20, in order to be a right triangle.