How many gallons did the tub start with?

El conjunto de todos los

números Cardinales entre 4 y 14

=4,5,6,7,8,9,10,11,12,13,14

números Cardinales:

Los números cardinales son los números que se usan para contar algo. También se dice que estos son cardenales. Los números cardinales son los números de conteo que comienzan desde 1 y continúan secuencialmente y no son fracciones.

El significado de los cardenales es "cuántos" de cualquier cosa existen en un grupo.

o

Los cardenales significan "cuánto" existe en un grupo.

Por ejemplo, si queremos contar el número de manzanas que hay en la cesta, tenemos que hacer uso de estos números, como 1, 2, 3, 4, 5… y así sucesivamente. Los números nos ayudan a contar el número de cosas o personas presentes en un lugar o grupo. Los números cardinales denotan la colección de todos los números ordinales.

El conjunto de todos los

números Cardinales entre 4 y 14

=4,5,6,7,8,9,10,11,12,13,14

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Answer:

0.08

Step-by-step explanation:

.2 is 1/5 of a pound, so the cost is (.40)/5 = 0.08

Answer: I think it's C. number line with closed circle on point negative 3.2 and arrow shaded to the left

The points did the student lose is 15.

20 questions make up a test. If the response is accurate, the test provides 3 points, and if it is erroneous, 1 point is deducted. A student gave wrong answers to five questions.

To toal number of question = 20

Points for 20 question = 20 × 3

= 60

( because 3 points for 1 correct answer and 1 point for 1 incorrect answers )

So, the number of incorrect questions = 5

Points for 5 questions = 5 × 1

=5

A student attempt correct question = 20 - 5 = 15

Points for 15 questions = 15 × 3

=45

The students lose points = 60 - 45

= 15

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Answer:

Step-by-step explanation:

Given that;

Amount paid for dinner = $74.25

Percentage of tip = 16% = 0.16

Find: Amount of tip

Computation: Amount of tip = (Amount paid for dinner)(Percentage of tip)

Amount of tip = (74.25)(0.16)

Amount of tip = $11.88

Answer:

The answer is 85x

Step-by-step explanation:

Answer:

−10x[tex] \sf {}^{8} [/tex]−10x[tex] \sf {}^{2} [/tex]

Step-by-step explanation:

(−5x)(2x+2x[tex] \sf {}^{7} [/tex])

=(−5x)(2x+2x[tex] \sf {}^{7} [/tex])

=(−5x)(2x)+(−5x)(2x[tex] \sf {}^{7} [/tex])

=−10x[tex] \sf {}^{2} [/tex]−10x[tex] \sf {}^{8} [/tex]

=−10x[tex] \sf {}^{8} [/tex]−10x[tex] \sf {}^{2} [/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal

Answer:

  (a)

Step-by-step explanation:

You want to identify the integral of f(x)=100x^99+20x^4+2/x^2+3/x+9.

For all powers of x except x^-1 = 1/x, the power rule applies:

  [tex]\int{x^n}\,dx=\dfrac{x^{n+1}}{n+1}[/tex]

The power rule cannot apply when n=-1, as that would make the integral undefined. Instead, the integral is ...

  [tex]\int{x^{-1}}\,dx=\ln{(x)}[/tex]

Any constant multiplier (k) of the expression being integrated will be a constant multiplier of the integral of that expression.

Any indefinite integral may have a constant (c) added.

  [tex]\displaystyle k\cdot\int{f'(x)}\,dx=k\cdot f(x)+c[/tex]

Applying these rules, we get the integral shown in the attachment.

The range for the given domain is represented by set {-9,-7,-5,-3,-1} or the interval   [-9,-1] .

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined. An example, there is a restriction for the domain of fractions. The variable x in the denominator should be different of zero.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

The question gives:

You should find the values of y for each value of x in the domain. Thus

       y=2*(-2)-5=-4-5= -9

       y=2*(-1)-5=-2-5= -7

       y=2*(0)-5=0-5= -5

       y=2*(1)-5=2-5= -3

       y=2*(2)-5=4-5= -1

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The option that is true about opposite numbers is; Option D: Point B and Point G are opposite rational numbers because they are the same distance away from zero.

Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides, or in opposite directions.

We are given the points on the number line as;

A = -3/2

B = -4/3

C = -3/4

D = -2/3

E = 2/3

F = 3/4

G = 4/3

From the above, we can tell that;

Points B and G are opposite numbers

Points C and F are opposite numbers

Points D and E are opposite numbers

Looking at the given options, the only correct one is; Option D: Point B and Point G are opposite rational numbers because they are the same distance away from zero.

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Answer:

  5/28

Step-by-step explanation:

You want the shaded portion of a circle that has non-overlapping portions 1/4 and 4/7 that are unshaded.

The shaded portion of the circle is what is left after the fractions 1/4 and 4/7 are subtracted from the whole (1).

  1 -1/4 -4/7 = 3/4 -4/7 = (3·7 -4·4)/(4·7) = (21 -16)/28 = 5/28

5/28 of the circle is shaded.

__

Additional comment

Sometimes it is easiest to use the product of denominators as the common denominator. Here, that also happens to be the least common denominator.

We used the formula for fraction subtraction:

  [tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}[/tex]

No reduction of the result is needed in this case.

Answer:

the answer is 5/28

Step-by-step explanation:

5/28 is the answer

Answer:

11

Step-by-step explanation:

[tex]4+5.2+3.6 \div 2 \\ \\ =4+5.2+1.8 \\ \\ =9.2+1.8 \\ \\ =11[/tex]

Answer:

45 > 51

Step-by-step explanation:

The probability that the sum of the 2 dice is less than 2 is equal to 1/36.

Given that the sum required is less than or equal to 2 and the first dice is a 1.

We are required to find the probability if 2 dices are rolled and the sum of the 2 dice is less than 2.

Probability is basically the likeliness of happening of any event among all the events possible. It lies between 0 and 1.

Probability=Number of items/Total items

Outcomes=(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

Outcome whose sum is less than or equal to 2=(1,1)

Probability=1/36

Hence the probability that the sum of the 2 dice is less than 2 is equal to 1/36.

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The prediction of the number of times it will pick two numbers that are 8 or less is 4 times

The given parameters are

The sample size of whole number from 1 to 20 is

Sample Size = 20

While the sample size of the probability values that are 8 or less is

Probability Size = 8

So, the probability of selecting a value that is 8 or less is

P = Probability Size/Sample Size

So, we have

P = 8/20

The prediction of the number of times it will pick two numbers that are 8 or less is

Prediction = P * n

So, we have

Prediction = 8/20 * 10

Evaluate the product

Prediction = 4

Hence, the prediction of the number of times it will pick two numbers that are 8 or less is 4 times

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Using proportions, it is found that you are standing 31.8 ft from the lamp post.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, when the measures have a degree of proportionality among them, using operations such as multiplication or division.

For this problem, the procedure is relatively simple, as we just find the proportional relationship between the the heights and shadows, and apply a rule of three to find the desired measure.

For this problem, we have that the heights and shadows are related as follows:

Hence the following proportional equation is built:

5.5/10 = 12/(d - 10)

0.55 = 12/(d - 10).

Applying cross multiplication, we can solve for d as follows:

0.55d - 5.5 = 12

0.55d = 17.5.

d = 17.5/0.55

d = 31.8.

You are standing 31.8 ft from the lamp post.

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Step-by-step explanation:

(6, 9, 12, 15, 18, 21, 24)

Hello and Good Morning/Afternoon:

The table shows a linear function:

 [tex]\hookrightarrow \text{This means that the slope is consistent between all the points}\\[/tex]

Thus we can use any point to help us find our slope:

 [tex]\hookrightarrow \text{let's pick two points}[/tex]

       [tex]\hookrightarrow \text{Slope} = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{16-7}{5-2} =\dfrac{9}{3} =3[/tex]

Answer: 3

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Answer:

32.86.

Step-by-step explanation:

I FOUND this answer because...

Answer:

I'm sa today because I stepped on my dog

The fraction of the whole cake did Jack eat = 1/3.

A fraction is a portion of a whole. In arithmetic, each number is expressed as a quotient, which is the numerator divided by the denominator. In a simple fraction, these are both integers. A complicated fraction contains a fraction in either the numerator or denominator.

Jack's share of the total cake is 1/3

Total fraction of cake = 1/2

Let :

Jill's share = x

Jack's share = 2x

Jack's share + Jill's share = total fraction of cake

x + 2x = 1/2

3x = 1/2

x = (1/2 ÷ 3)

x = (1/2 × 1/3)

= 1/6

Jack's share:

= 2x

= 2(1/6)

= 2/6

= 1/3

So,

Jack's share of the cake is 1/3.

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Answer: 2

Step-by-step explanation:

[tex] \large{\tt {n}^{2} - 5n - 4} \\ \large{\tt = { - 3}^{2} - 5( - 3) - 4 } \\\large{ \tt = - 9 + 15 - 4 }\\ \large{\tt = 6 - 4} \\ \large{ \red{\boxed{ \tt = 2 }}}{ \large \green ✓ }[/tex]

[tex] \: [/tex]

hope helps:')

6)  The circumference of the circle is; 36.7 Km

7) The area of the Circle is; A = 58.1 m²

8) The area of the circle is; A = 116.9 m²

9) The length of the arc is; L = 61.3 ft

10) The length of the arc is; L = 11.5 ft

6) Formula for circumference of circle is; C = πD

Where D is diameter. Thus;

C = π * 12

C = 36.7 Km

7) Area of a circle is given by the formula:

A = πd²/4

Thus; A = π * 8.6²/4

A = 58.1 m²

8) Area of circle here is;

A = πr²

A = π * 6.1²

A = 116.9 m²

9) Formula for length of arc is;

L = θ/360 * 2πr

L = 270/360 * 2π*13

L = 61.3 ft

10) L =  θ/360 * 2πr

L = 60/360 * 2π*11

L = 11.5 ft

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If the total cost was $1443.75, 125.00 shares were bought at $2.75 and 275.00 shares were bought at $4.00.

We can represent the number of shares bought at $2.75 as x and the number of shares bought at $4.00 as y, hence, the sum of x and y is

solve for x in equation:

1x=400-y2.75(400-y)+4.00

y=1443.751100-2.75y+4.00

y=1443.751.25

y=1443.75-11001.25

y=343.75

y=343.75/1.25

y=275.00275

shares were bought at:

$4.00x+y=400

x+275=400

x=400-275

x=125.00125

shares were bought at $2.75.

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Answer: Four terms

Step-by-step explanation:

      The terms are the "separate values" in the problem. For this question, we have four terms.

      Our terms are;

[1] x³

[2] + 5x²

[3] + 2x

[4] + 7

The equation of the line is y = 2x + 4.

Here, we are given that a line passes through point (0.5, 5) and parallel to the line 4x - 2y = 11.

Now, two lines that are parallel to each other will have the same slope.

Therefore, let us first find the slope of line 4x - 2y = 11.

Let us convert the equation to y = mx + c form where m is the slope and c is the y intercept.

4x - 2y = 11

4x - 11 = 2y

2y = 4x -11

y = 4x/2 - 11/2

y = 2x - 11/2

Thus, the slope of line 4x - 2y = 11 is 2

Hence, the slope of the line parallel to it will also be 2.

Now, the equation of a line can be found by the slope intercept form as-

y - y1 = m(x - x1)

here, x1 = 0.5 and y1 = 5

y - 5 = 2( x - 0.5)

y - 5 = 2x - 1

y = 2x - 1 +5

y = 2x + 4

Thus, the equation of the line is y = 2x + 4.

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The statement that W must be a subspace of V is "true."

Fr the given question;

To demonstrate that a subset is indeed a subspace, you must demonstrate three things:

As, it is given in the question that;

Which shows that the W must be within the subspace of V.

Thus, the set W is the subspace of V is true statement.

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Answer:

Step-by-step explanation:

y = mx +[tex]y_{0}[/tex]

y = 1/1 x + 1 = x +1