What is 4 3/6 - 1 5/6

Answer:

41910.

Step-by-step explanation:

We can calculate this by first finding the sum for  k = 1 to 50 then subtracting the sum for k = 1 to 14.

We use the formula  (1/6)n(n+1)(2n+1)

So for 1 to 50 its 1/6 * 50* 51 * 101 = 42925

and for 1 to 14 it comes to 1/6*14*15*29 = 1015

So the answer is 41910.

The three options with dimensions resulting in a surface area greater than 140 square feet are:

To determine whether the dimensions of a rectangular prism result in a surface area greater than 140 square feet, we can use the formula for the surface area of a rectangular prism:

Surface Area = 2lw + 2lh + 2wh

    where l, w, and h are the length, width, and height of the rectangular prism, respectively.

Option 1: 6 feet by 2 feet by 3 feet

Surface Area = 2(6)(2) + 2(6)(3) + 2(2)(3) = 24 + 36 + 12 = 72 square feet

This option does not have a surface area greater than 140 square feet.

Option 2: 6 feet by 5 feet by 4 feet

Surface Area = 2(6)(5) + 2(6)(4) + 2(5)(4) = 60 + 48 + 40 = 148 square feet

This option has a surface area greater than 140 square feet.

Option 3: 7 feet by 6 feet by 4 feet

Surface Area = 2(7)(6) + 2(7)(4) + 2(6)(4) = 84 + 56 + 48 = 188 square feet

This option has a surface area greater than 140 square feet.

Option 4: 8 feet by 3 feet by 7 feet

Surface Area = 2(8)(3) + 2(8)(7) + 2(3)(7) = 48 + 112 + 42 = 202 square feet

This option has a surface area greater than 140 square feet.

Option 5: 8 feet by 4 feet by 3 feet

Surface Area = 2(8)(4) + 2(8)(3) + 2(4)(3) = 64 + 48 + 24 = 136 square feet

This option does not have a surface area greater than 140 square feet.

Therefore, the three options with dimensions resulting in a surface area greater than 140 square feet are:

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Answer:

Your not showing the table below

Step-by-step explanation:

so how can I help answer wit out that table

For the given right triangle with side lengths d, e, and f, the values of sin(x), tan(x), and cos(x) are 0, 0, and 1, respectively.

In a right triangle, the side opposite the right angle is called the hypotenuse. Let's assume that f represents the length of the hypotenuse. From the information given, we can infer that sin(x) = 0, which means that the ratio of the length of the side opposite angle x (d) to the hypotenuse (f) is 0. This implies that d = 0.

Similarly, we are given that tan(x) = 0, which indicates that the ratio of the length of the side opposite angle x (d) to the side adjacent to angle x (e) is 0. Therefore, d = 0.

Finally, we have cos(x) = 1, indicating that the ratio of the length of the side adjacent to angle x (e) to the hypotenuse (f) is 1. This implies that e = f.

To summarize, in the given right triangle, sin(x) = 0, tan(x) = 0, and cos(x) = 1, with the side lengths d = 0, e = f.

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Answer:

\( \) \( \) \( \) \( \)

Answer:1,024

Step-by-step explanation:

    We will use the formula hint it gives:

\(\displaystyle {1^{st}\;term} * \text{common ratio}\,^{(\text{desired term -1})}\)

\(-1 * -4^{6-1}\)

\(-1 * -4^{5}\)

\(-1*-1,024\)

\(1,024\)

    The 6th term in the sequence is 1,024.

Answer:

1/3

Step-by-step explanation:

2/6

1/3

Answer:

Probability of any one face to turn up is 1/6,

The probability of any above 3 is 3/6,

The probability of even number is also 3/6

So the probability of either above three or even outcome is 1/6(3/6 + 3/6)=1/6, since both events are independent of the any face event and both events are mutually exclusive.

NB:If the two events are not mutually exclusive, then

P(A) is the total event, P(B) the probability of any face above 3 and P(C) probability of any face an even number, then the Bayesian prediction formula is P(B|C) the probability of the event B occuring while C occurs is equal to (PC|P(B))/(P(B)+P(C), where P(C|B) is probability of C occuring at B.

So P(B|C)=(1/3 * 1/3)/(1/3 + 1/3) =(1/9)/(2/3) = 3/18= 1/6.

The parametrize equation of the cone is r (u, u) = (u, v, 8 - u²- v²) for the interval 0 ≤ u²+ v² ≤ 4

What is parametrize equation?

A parametric equation in mathematics describes a collection of numbers as functions of one or more independent variables known as parameters.

As per question given that,

Cone z = √ (8x² + 8y²) with 0 ≤ z ≤ √8

Suppose that,

X = u, and Y = v

Then

r (u, v) = = (u, v, z) for 0 ≤ u²+ v² ≤ 4

r (u, v) = = (u, v, √ (8x² + 8y²)) for 0 ≤ u²+ v² ≤ 4

Thus

z = 8 - x² - y²

4 = 8 - x² - y²

x² + y² = 4

So, that r (u, u) = (u, v, 8 - u²- v²) for the interval 0 ≤ u²+ v² ≤ 4.

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Hey there! :)

Answer:

m∠A = 72°.

m<B = 108°.

Step-by-step explanation:

In a parallelogram, the opposite angles are congruent.

Therefore, we can set the two expressions equal to each other:

5y - 3 = 3y + 27

Add 3 to both sides:

5y = 3y + 30

Subtract 3y from both sides:

2y = 30

Divide both sides by 2:

y = 15

Substitute this value of y into an expression to solve for the measure of ∠A:

5(15) - 3 = 72°. m∠A = 72°.

In parallelograms, the neighboring angles are supplementary. Therefore:

m∠A + m∠B = 180°

72° + m∠B = 180°

m<B = 108°.

Answer:

x=48 degrees

Step-by-step explanation:

hope this helps :D

Answer:

x=162°

Step-by-step explanation:

interior angle of B= 180-75= 105°

interior angle of E=180-123=57°

105+57=162°

x=162°

Answer:

25 x 1053 / 6 = 4387.5

Step-by-step explanation:

Answer:

Collect, analyze, interpret and present quantitative data

Answer: Collect, analyze, interpret and present quantitative data

22084.78 gallons is the volume of your pool.

Any rectangular solid's volume, V, is equal to the sum of its dimensions, height, width, and depth. In terms of the area of the base, we might alternatively express the formula for a rectangular solid's volume. The base's surface area, B, is equal to its length x width.

Dimensions of the pool = 4.93 m x 9.69 m x 1.75 m

Volume = 4.93 x 9.69 x 1.75

             = 83.6 cubic meter

1 cubic meter = 264.172 gallons

83.6 cubic meter = 83.6 x 264.172

                            = 22084.78 gallons

Hence, 22084.78 gallons is the volume of your pool.

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Answer:

-18

Step-by-step explanation:

Multiply the numbers

3*6

-7 + 9 - 18 - (5 + 9) ÷ 7

Add the numbers

5+9

-7 + 9 - 18 - 14 ÷ 7

Divide the numbers

14÷ 7

-7 + 9 - 18 - 2

Calculate the sum or difference

-18

Answer = -18

Answer:

242

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

Given

9a² + 2b² ← substitute a = 4 and b = 7

= 9(4)² + 2(7)²

= 9(16) + 2(49)

= 144 + 98

= 242

Answer:0.29

Step-by-step explanation:

Responda:

Explicação passo a passo:

Dê = n a equação 5x + 5 = 4x - 2, para mostrar que x = -7 é a solução, as seguintes etapas devem ser seguidas.

Etapa 1: Subtraia 5 de ambos os lados da equação

5x + 5 - 5 = 4x - 2 - 5

5x = 4x - 7

Etapa 2: Subtraia 4x de ambos os lados da equação resultante

5x = 4x - 7

5x - 4x = 4x - 7 - 4x

x = -7

Isso prova que a solução é x = -7

b) Para mostrar que 5 não é a solução, substituiremos x = 5 em ambos os lados da equação e verificaremos se são iguais ou não. Se eles não são iguais, significa que 5 não é uma solução.

Para o lado direito da equação, ou seja, 5x + 5

f (5) = 5 (5) + 5

f (5) = 25 + 5

f (5) = 30

Para o lado esquerdo da equação, ou seja, 4x-2

f (5) = 4 (5) - 2

f (5) = 20-2

f (5) = 18

Como os dois valores não são os mesmos, \(30\neq 18\) ou seja, isso mostra que 5 não é uma solução

Answer:

Father:42

Son:18

Step-by-step explanation:

Present ages are father 48–6= 42

son = 24 ‘6 = 18

Answer:

english man english

Step-by-step explanation:

Answer:

y = -4x + 58

Step-by-step explanation:

Equation of line: y =mx + b

  Here, m is the slope and b is the y-intercept.

Parallel lines have same slope.

      y = -4x + 9

 m = -4

Equation of the required line: y = -4x + b

The line passes through (15, -2). Substitute x and y values and find the value of 'b'.

       -2 = -4*15 + b

        -2 = -60 + b

-2 + 60 = b

      b = 58

Equation of line:

        y = -4x + 58

Answer:65miles

Step-by-step explanation:

Let the needed miles be x

(67+62+59+47+x)/5=60

235+x=60×5

235+x=300

x=300-235

x=65miles

Given : 5 6 1 2

Answer:

Answer:

50

Step-by-step explanation:

Answer:

PT = 17

Step-by-step explanation:

Since T is the midpoint of PQ, then

PT = TQ , substitute values

4x + 5 = 8x - 7 ( subtract 4x from both sides )

5 = 4x - 7 ( add 7 to both sides )

12 = 4x ( divide both sides by 4 )

3 = x

Thus

PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17

Answer:

17

Step-by-step explanation:

since T is mid point of PQ

PT=TQ

\(4x + 5 = 8x - 7 \\ 5 + 7 = 8x - 4x \\ 12 = 4x \\ x = 12 \div 4 \\ x = 3 \\ \)

so

\(pt = 4x + 5 \\ = 4(3) + 5 \\ = 12 + 5 \\ pt = 17\)

Answer:

(-6.5, 3)

7.2units

Step-by-step explanation:

Given the coordinate

A =(-26, -15)

B = (13, 21)

Midpoint of A and B is expressed as;

X = -26+ 13/2

X = -13/2

X = -6.5

Y = -15+21/2

Y = 6/2

Y = 3

Hence the required midpoint is (-6.5, 3)

b) The distance between the coordinate (-6.5, 3) and (0,0) is expressed as;

D = √(-3)²+(0+6.5)²

D = √9+42.25

D = √51.25

D = 7.2units

Hence the distance between the  midpoint and the base camp is 7.2units

Answer:

40

Step-by-step explanation:

because if there are 5 cats and then there are 8 TIMES AS CATS then its 8 * 5= 40 +5 = 45

WHY 45?

because the total of cats and dogs is 45

The equation of variation is xy = 96. The value of y when x = 18 is 16/3 and the value of x when y = 8 is 12.

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

Given:

y inversely varies as x.

That means, y ∝ 1/x.

So, y = kx, where k constant of variation.

Then, x × y = k

When y = 16, x = 6.

k = 6 × 16 = 96

So, the equation of variation is xy = 96.

When x = 18,

18y = 96

⇒ y = 96/18

⇒ y = 16/3

When y = 3.2,

3.2(30) = 96

When y = 8

8x = 96

⇒ x = 12

Therefore, the values are  y = 16/3 and  x = 12.

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Answer:16.4

Step-by-step explanation:

Answer:

He drove 350 miles.

Step-by-step explanation:

I need points.

Brady drove 16.67 miles extra.

One type of operation in mathematics is division. We divide the expressions or numbers into the same number of components during this operation.

Given, Brady rented a car for two days at $25 a day plus $0.15 per mile.

His total bill is $102.50.

We divide the 102.50 by 25.

That means, 102.50 / 25

= 4 is quotient and 2.50 is remainder.

Now we divide 2.50 by 0.15

That means, 2.50 / 0.15

= 16.67 miles

Therefore, 16.67 miles, Brady drove.

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