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A problem says an object’s final velocity is 14.4m/s south. Which one of these tables includes the information correctly?

Please help!

Answer:

  no. 2/3 is not a natural number

Step-by-step explanation:

If the dividend is not a multiple of the divisor, the result of the division will not be a natural number. 2/3, for example, is not a natural number.

Problem 1

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

Explanation:

We have 5 males and 3 females, so there are 5+3 = 8 mice total. The probability of selecting a male is 5/8. After that male is chosen, there are 5-1 = 4 of them left out of 8-1 = 7 total. This subtraction happens because the first mouse selected is not replaced. The probability of picking another male is 4/7.

Multiplying these fractions leads to the answer

(5/8)*(4/7) = (5*4)/(8*7) = 20/56 = 5/14

Note: to reduce 20/56 into 5/14, you divide both parts by the GCF 4.

====================================================

Problem 2

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

Explanation:

The events "selecting two males" and "selecting at least one female" are complementary events. One or the other, but not both, must happen.

If we let

then we can say

P(A) + P(B) = 1

P(B) = 1 - P(A)

P(B) = 1 - (5/14)

P(B) = (14/14) - (5/14)

P(B) = (14-5)/14

P(B) = 9/14

Note how P(A) = 5/14 is the result from problem 1.

====================================================

Problem 3

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

Explanation:

The probability of selecting a male is 5/8. After the male is chosen, there are 8-1 = 7 mice left. The probability the second mouse is female is 3/7 since there are 3 female mice out of 7 left total.

We get this result after multiplying the values:  (5/8)*(3/7) = 15/56

Now consider that the first mouse is female. The probability of this is 3/8. The probability that the second mouse is male is 5/7.

The fractions multiply to (3/8)*(5/7) = 15/56. We get the same result as before due to the numerators swapping places, but not much else happens. So we have a sort of symmetry going on here.

The last step is to add the two results we got:

(15/56)+(15/56) = (15+15)/56 = 30/56 = 15/28

Or you could compute it like this

2*(15/56) = (2*15)/56  = 30/56 = 15/28

The '2' is to signify there are two ways to select exactly one male and exactly one female, where the order doesn't matter.

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

Here's another way we can get the answer.

The probability we get both males is 5/14 found back in problem 1.

The probability we get both females will follow the same idea as problem 1, and we would compute (3/8)*(2/7) = 6/56 = 3/28

Add those fractions:  (5/14) + (3/28) = (10/28) + (3/28) = 13/28

Now consider the events

Events C and D are complementary events.

We calculated that P(C) = 13/28, which means

P(D) = 1 - P(C)

P(D) = 1 - (13/28)

P(D) = (28/28) - (13/28)

P(D) = (28-13)/28

P(D) = 15/28

Answer:

Let M represent the amout at any time.

She saves $40 per week so total amount becomes 40x in any specified week.

where x is the number of weeks.

In the start she has $500 in her bank account so we 'll add this amount into the savings per week. So expression becomes

M = 40x+500

Simply put number of week in place of x and find the total amount.

Step-by-step explanation:

Answer:

for c it is no

Step-by-step explanation:

it is no because she deposits 40 a week, in 4 weeks she deposits 40x4=160, which is nowhere close to the 700 she needs. Even if you count the 500 in her account it is still no since it would total up to 660, not 700

Answer:

33 bags

Step-by-step explanation:

she has 4.5 ft³

she needs 54 ft³

she must get an additional

54 ft³ - 4.5 ft³ = 49.5 ft³

each bag has 1.5 ft³

(49.5 ft³)/(1.5 ft³) = 33

Answer: 33 bags

Answer

Less than or equal to 4 days.

Step-by-step explanation:

Let D represent the number of days for Starlin's trip.  We know that Starlin has spent $25 on gas and will spend $100 for each day. So use the equation d=25+100d < 415. (We also know that Starlin plans on spending less than $415 on the trip, so if anything is above $415, we know it is the wrong answer.) Subtract 25 on both sides and then divide by 100; the equation should go like this:

25 + 100d < 415

25 + 100d - 25 < 415 - 25

100d < 390

d < 3.9

It would be wise to round to 4 unless otherwise specified.

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Answer:

-27÷(-3)-9

=0

Step-by-step explanation:

Hope this helps you.

Answer:

1/4

Step-by-step explanation:

First you add all of the marbles in the bag which is 16 marbles.  The fraction of red marbles to the total would be 4/16.  In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.

Answer:

x = 1, y = -1

x= 3, y = 3

Step-by-step explanation:

Answer:

95 %

Step-by-step explanation:

Trust me I took the test please mark brainlyiest

Answer:

95

Step-by-step explanation:

57 ÷ 60 = 0.95

=95

I HOPE IT HELPS YOU

The value of x is 45 in the provided assertion, and the Centerior angles do sum up to 180°, indicating that AD and BC are parallel.

We have,

Parallel in mathematics refers to two lines which never cross one another; picture an equal symbol. Three close pals' parallel lives could be depicted in a tale.

(a)

3x + x + 2x + 90 = 360

6x = 360 - 90

6x = 270

x = 45

(b) The answer will be yes, they would be parallel.

We can justify this using co-interior angles, which state that 2 angles subtended by parallel lines add up to 180°

We can check this with both angles 3x & x, or 2x & 90°.

If AD and BC are parallel, then 3x + x = 180, and since you already found the value of x we can substitute this in:

3(45) + (45) = 180

135 + 45 = 180

180 = 180

So the co-interior angles do add up to 180°, which means that AD and BC are parallel.

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Answer:

√157

Step-by-step explanation:

Use Pythagorean theorm.

\(11^2 + 6^2 = ?^2\)

121 + 36 = ?^2

157 = ?^2

√157 = ?

Can't simplify.

Answer:

12.5 m

Step-by-step explanation:

You are given the lengths of the legs of a right triangle.

We can use the Pythagorean theorem to find the length of the hypotenuse.

a^2 + b^2 = c^2

(6 m)^2 + (11 m)^2 = c^2

36 m^2 + 121 m^2 = c^2

c^2 = 157 m^2

c = sqrt(157 m^2)

c = sqrt(157) m

Answer: 12.5 m

see the attached figure to better understand the problem

step 1

Measure 167 degrees (using a protractor) to represent the blue color (46%)

step 2

Measure 77 degrees (using a protractor) to represent the orange color (21%)

step 3

Measures 13 degrees (using a protractor) to represent the yellow color (13%)

step 4

Measures 51 degrees (using a protractor) to represent brown color and green color (51% each)

Answer:

Los números son 23 y 35.

Step-by-step explanation:

Q: The sum of two numbers is 58. If one of the numbers is 12 more than the other number, what are the numbers?

Set the numbers as x and y. Using the given information, we have two equations:

x+y=58

x=y+12

Solving using substitution, we have:

y+y+12=58 -> y=23

Substituting, x=23+12=35

The numbers are 23 and 35.

Answer:

The number is 21

Explanation:

The quotient is the answer of a division

Answer:

Step-by-step explanation:

slope for 3 is -0.6

1.525 is second 3=(1)0+3

3x-y+3

3x-y-8

The bill was $25.00 and they gave a 22% tip.

First, let us find 22% of $25.00

The total bill is

They split the bill evenly so divide the total bill by 2.

Therefore, each person paid $15.25.

Chris = $15.25

Sue = $15.25

As per the given subset, the set T and U are not closed under multiplication.

In math the term subset is defined through the example set A is a subset of another set B if all elements of the set A are elements of the set B.

Here let us consider that S be a subset of R that is closed under multiplication

Here we have also consider that  T and U be disjoint subsets of S whose union is S.

Here we have given that the product of any three elements of T is in T and that the product of any three elements of U is in U, now we have to show that at least one of the two subsets T, U is closed under multiplication.

Here we have to start out with the assumption that neither T nor U is closed under multiplication and use proof by contradiction to prove that at least one of T or U must be closed under multiplication.

Here let us write this as,

=> t1,t2,t3∈T1,2,3 and 

=> u1,u2,u3∈U1,2,3∈,

While it is given by the problem that, then  T and U are disjoint subsets of S and therefore, 

=> T∩U = ∅.

At this time we have take that

=> t3 = u1⋅u2

=> 3 = 1⋅2 and 

=> u3=t1⋅t2

=> 3=1⋅2.

While we looking these statements are valid because T and U are not closed under multiplication, where as the product of u1⋅u21⋅2 must not be in the set U and the product of t1⋅t21⋅2 must not be in set T.

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Answer:

-12

Step-by-step explanation:

F(T)=2(1×+1)

2(1×+1)= x2 + 2, and since we were trying to find what f is, we know know f=2 because of the equation 2(1×+1), so, 2(-6)= -12

Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and

after 11 steps, the mixture contains less than 9% vinegar.

What is concentration?

Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.

a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:

\(C(1) = C(0) * \frac{1 - 0.14}{1}\)

where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:

C(2) = C(1) * \(\frac{1 - 0.14}{1}\)

Substituting the formula for C(1), we get:

C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)

or, more generally:

\(C(n) = C(0) * (0.86)^n\)

b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:

\(C(0) * (0.86)^n < 0.09\)

Dividing both sides by C(0), we get:

\((0.86)^n < 0.09\)

Taking the natural logarithm of both sides, we get:

n * ln(0.86) < ln(0.09)

Dividing both sides by ln(0.86), we get:

n > ln(0.09) / ln(0.86)

Using a calculator, we get:

n > 10.7

Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.

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Answer:

0.625 tons or 5/8 tons

Step-by-step explanation:

(5/2)/4

0.625 tons or 5/8

Answer:

  5/8 ton

Step-by-step explanation:

1/4 of 5/2 ton is on each tire, so the weight it is bearing is ...

  (1/4)(5/2 ton) = 5/8 ton

Each tire is bearing 5/8 ton.

_____

Additional comment

If that is a US short ton (2000 lb), then the weight on each tire is 1250 pounds. If the tires are inflated to 50 pounds per square inch, then the area of rubber on the road at each tire is 1250 lb/(50 lb/in^2) = 25 in^2. That's the size of a 5-inch square.

The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

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The number of tiles needed by Akasha to cover the area of the patio is calculated as: 120 tiles.

The patio is a rectangular space. Therefore, to determine the number of tiles Akasha will need to cover the patio, find the area of the patio and the area of one tile.

Area of the patio = area of rectangle = (length)(width).

Given the following:

Length of the patio = 7 1/2 = 15/2 yards

Width of the patio = 4 yards

Area of the rectangular patio = (15/2)(4)

Area of the rectangular patio = 30 yards²

Length of the tile = 1/2 yard

Width of the tile = 1/2 yard

Area of one tile = (1/2)(1/2)

Area of one tile = 0.25 yd²

Number of tiles needed to cover the patio = area of the patio/area of one tile

= 30/0.25

= 120 tiles

Thus, the number of tiles needed by Akasha to cover the area of the patio is calculated as: 120 tiles.

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9514 1404 393

Answer:

   0.0056

Step-by-step explanation:

  f(x) = √(49 +x)

  f'(x) = 1/(2√(49 +x))

A linear approximation of f(x) expanded about x=0 is ...

  f(x) ≈ f(0) + f'(0)x = 7 +x/(2·7)

Then for √53, we have x=4

  f(4) ≈ 7 +4/14 = 7 2/7 . . . . . approximate √53 using differentials

__

The calculator value of √53 is about 7.280110, so the difference in results is ...

  approx - actual ≈ 7.285714 -7.280110 = 0.005604 ≈ 0.0056

The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.

Quadratic equation

The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.

The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.

Hence, either of the three methods are good ways to solve such equation.

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The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

TRIANGLE!

Step-by-step explanation:

indeed that is a triangle

Answer:

A. 75

B. Explained below

Step-by-step explanation:

The symbol ~ means the two triangles are similar

Similar triangles have same angles and the sides are in proportion

so the ratio of each side of triangle 1 to the corresponding side of triangle 2 is the same

In ΔRST we see that it is a right triangle with hypotenuse 13 and base 5

So the height (RS) = √(13² - 5²) by the Pythagorean theorem

13² - 5² = 169 - 25 = 144

√144 = 12

So side RS = 12

Since the triangles are similar it follows that
\(\dfrac{AB}{RS} = \dfrac{BC}{ST} = \dfrac{AC}{RT}\\\\\\ \dfrac{BC}{ST} = \dfrac{12.5}{5} = 2.5\\\\\\\)

So it follows that
\(\dfrac{AB}{RS} = 2.5\\\\AB = RS \times 2.5\\\\AB = 12 \times 2.5\\\\AB = 30\\\\\)

Also

\(\dfrac{AC}{RT} = 2.5\\\\AC = RT \times 2.5 \\\\AC = 13 \times 2.5 \\\\AC = 32.5\\\\\)

So the three sides of ΔABC are AB = 30, BC = 12.5 and AC = 32.5

The perimeter = 30 + 12.5 + 32.5

= 75

B. If we were given the three sides of ΔABC (as we found in Part A), then all we have to do is find the third side of ΔRST

We know the ratio

\(\dfrac{AB}{RS} = \dfrac{BC}{5} = \dfrac{12.5}{5} = 2.5\\\\So\\\\\\\\dfrac{AB}{RS} = 2.5\\\\\)

Multiplying both sides by RS gives
\(AB = 2.5 \times RS\\\\\\\\== > 30 = 2.5 \times RS \\\\\)    (we found AB  = 30 from part A)

Dividing both sides of the equation by 2.5 and switching sides gives
\(RS = \dfrac{30}{2.5} \\\\RS = 12\\\\\)

So that gives the third side of ΔRST = 12 and we can find the perimeter if we wanted to by adding 12, 5 and 13 to get 30