e) 6x-(3x+2)=1 how much is the x​

a) Four-digit strings with 10⁴ characters are available.

b) A string that finishes in an odd number has 10 options for the first three digits and 5 options for the last digit.

c) The fourth digit has nine alternatives.

Given,

We have to find the number of strings of four decimal digits for the following conditions;

a) Do not use the same numeral more than once.

There are 10⁴ strings with four decimal digits.

We have 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and 7 options for the fourth digit when creating a string with 4 different digits. We deduce from the product rule that there are 10 9 8 7 = 5040 four decimal digits with no duplicate digits.

b) End with an odd digit

There are 10 choices (ranging from 0 to 1, 2,..., 9) for the first three digits of a string that ends in an odd number, and 5 possibilities (ranging from 1, 3, 5, 7,.., 9) for the last digit. According to the product rule, there are 5000 strings that terminate in an even number, or 10 × 10 × 10 × 5.

c) Have exactly three digits that are 8

There is one non-8 digit in the 4-decimal string, which includes exactly 3 digits that are 8. Therefore, there are 9 options for the fourth digit (ranging from 0 through 1, 2, 3, 4, 5, 6, and 9). The non-digit may appear in the string at positions 1, 2, 3, or 4. The sum rule leads us to the conclusion that there are 36 four decimal digits with exactly three 8s, which equals 9 + 9 + 9 + 9 = 36.

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Question is incomplete. Completed question is given below;

How many strings of four decimal digits

a) Do not contain the same digit twice

b) End with an odd digit?

c) Have exactly three digits that are 8

Answer:

362.5  I guess

Step-by-step explanation:

1087.50-725 = 362.5

Answer:

Hello! :) have a good day!

(10x+6)4 = 40x +24

The value of u is 0. A line with an undefined slope has an equation of the form x = k, where k is a constant value.

To determine the value of u, we need to find the x-coordinate of the point (u,5) on this line. We know that the line passes through the point (-5,-2), so we can use this point to find the value of k.For a line passing through the points (-5,-2) and (u,5), the slope of the line is undefined since the line is vertical.

Therefore, the line is of the form x = k.To find the value of k, we know that the line passes through (-5,-2). Substituting -5 for x and -2 for y in the equation x = k, we get -5 = k.Thus, the equation of the line is x = -5. Substituting this into the equation for the point (u,5), we get:u = -5 + 5u = 0

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Answer:

X<2

Step-by-step explanation:

2x+4<8

subtract 4 from both sides

2x+4-4<8-4

simplify

2x<4

divide both by 2

2x/2<4/2

x<2

If the difference of 3 times a number(n) and 10 is 5 , then the number is n = 5  .

In the question ,

it is given that

the number is = n

and also the statement is given as  " the difference of 3 times of a number "n" and 10 is = 5 "

which means

3×n - 10 = 5    ...because times means × and difference means " - " .

3n - 10 = 5

on adding 10 to both sides of the equation and solving further ,

we get ,

3n = 5 + 10

3n = 15

n = 15/3

n = 5

Therefore , If the difference of 3 times a number(n) and 10 is 5 , then the number is n = 5  .

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Answer:

11.4 miles I hope I helped

Answer:98

Step-by-step explanation:I subtracted 80-7

Answer:

−56

Step-by-step explanation:

Perform addition

\(- 14 - 38x + 14 -28x - 28x\)

The probability that there are no more than 10 righties is 22.19%.

The probability of having more than 10 righties can be calculated as follows:

P(more than 10 righties) = 1 - P(10 or fewer righties)

= 1 - [P(0 righties) + P(1 righty) + P(2 righties) + ... + P(10 righties)]

To calculate the probability of having exactly 5 righties, we can use the binomial distribution formula as follows:

P(5 righties) = (12C5)(0.9)5(0.1)7

= (792)(0.59049)(0.4782969)

= 0.2219

Similarly, we can calculate the probability of having 0, 1, 2, 3, 4, 6, 7, 8, 9, or 10 righties using the same formula. Once we have these probabilities, we can add them up to get the probability of having 10 or fewer righties.

Finally, we can subtract the probability of having 10 or fewer righties from 1 to get the probability of having no more than 10 righties.

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Answer:

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

Step-by-step explanation:

\(25x^2(x+2)-9(x+2) \\ \\ = (x + 2)(25 {x}^{2} - 9) \\ \\ = (x + 2) \{ ({5x})^{2} - {(3)}^{2} \} \\ \\ = (x + 2) \{(5x + 3)(5x - 3) \}\\ \\ = \purple{ \bold{(x + 2) (5x + 3)(5x - 3) }} \\ are \: the \: required \: factors\)

Answer:

A

Step-by-step explanation:

64

Answer:

35 pages per hour.

Step-by-step explanation:

You divide 105 by 3.

105/3=35!

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

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

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

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

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

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

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

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

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

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

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

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

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

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

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

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

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

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

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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Answer:

6/3

Step-by-step explanation:

Answer:

slope is -2

equation for the line is y = -2x

Step-by-step explanation:

slope is rise over run

the rise is that the line goes down 2 units for every 1 unit it moves right

According to the given information, 46% of people believe that there is life on other planets. A scientist, who disagrees with this finding, conducted a survey of 120 randomly selected individuals and found that 48 of them believed in life on other planets. To determine if there is sufficient evidence to conclude that the percentage differs from 48 at a significance level (α) of 0.10, a hypothesis test is needed.

The null hypothesis (H0) states that the percentage is equal to 48%, while the alternative hypothesis (H1) states that the percentage differs from 48%. In this case, the sample proportion (p) is 48/120 = 0.4, and the hypothesized proportion (p0) is 0.48.

To perform the hypothesis test, we need to calculate the test statistic (z) and compare it to the critical values. The test statistic can be calculated using the formula z = (p - p0) / √(p0 * (1 - p0) / n), where n is the sample size. After calculating the test statistic, we compare it to the critical values corresponding to α = 0.10.

If the test statistic falls within the critical region, we reject the null hypothesis and conclude that there is sufficient evidence to claim that the percentage differs from 48%. If it falls outside the critical region, we fail to reject the null hypothesis and cannot conclude that the percentage differs from 48% based on this sample.

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Answer:

The circumference of a circle with a latitude of 40 degrees is 251.33

Answer:

720 m²

Step-by-step explanation:

The surface area of the prism is the sum of the areas of its 5 surfaces.

Area of triangle= ½ ×base ×height

Area of front face

= ½(6)(8)

= 24 m²

Area of back face= 24 m²

Area of rectangle= length ×breadth

Area of base

= 8(28)

= 224 m²

Area of right surface

= 10(28)

= 280 m²

Area of left surface

= 6(28)

= 168 m²

Total surface area

= 24 +24 +224 +280 +168

= 720 m²

Answer:

I think you forgot to include the dot plot

Step-by-step explanation:

I will attempt to help but I need the dot plot

Answer:

fish

Step-by-step explanation:

fish

Answer:

C. y<5/3x-3

Step-by-step explanation:

First, treat this problem as if you were graphing a normal slope intercept form equation, y=mx+b, where m=slope and b=the y-intercept. To find the slope of the line, find two points on the graph and count the number of units up/down over the number of units right/left. You could also use the slope formula, (y2-y1)/(x2-x1).

Once you have the slope, which, in this equation, is 5/3, find b, the y-intercept. You can find it by seeing where the line intersects with the y-axis (the vertical axis). In this case, b=(-3).

If this was a normal line, the equation would be y=5/3x-3. However, it's an inequality, and we're not quite done yet. We can eliminate answer B.

Look closely at the line. If it's dotted, the symbol is either a less-than/greater-than symbol (< or >). That means the answer can be any number up to that OR any number above that, but not that exact number. If it's a solid line, that means it's either a less-than or equal-to/greater-than or equal-to symbol, which looks like < and >. That means the answer can be that number and any number up to it OR that number and any number above it. This graph shows a dotted line, so we can eliminate answer A.

Now, one of the hardest parts, though it's really quite easy. If an equation is less-than or less-than or equal-to, the shaded region (all the possibilities) would be below the line. This is easy to tell with a horizontal line, easy enough to tell with a diagonal line, and a little difficult with a vertical line. With a vertical line, think of a number line with a single point on it. Anything to the left of the point is less than the point, so you would shade to the left of the line. If an equation is greater-than or greater-than or equal-to, the shaded region would be above the line, because it's the opposite of less-than or less-than or equal-to. Because the shaded region is below the line, the symbol to use in this equation is < because the answer is unknown but definitely below that line, but not on the line, because it's not a solid line, which means the answer is included.

The inequality of this line is y<5/3x-3, which is listed as answer C. Hope that helped! Comment if it didn't make sense.

Answer:

1/2 it’s like flipping a coin it can either come up heads or tails.

Step-by-step explanation:

The probability that the other child is a daughter is 1/2 or 50%.

The gender of each child is independent, and there are two equally likely outcomes for each child (male or female). Therefore, the probability of having a son is 1/2 and the probability of having a daughter is also 1/2. Since one child is already known to be a son, that does not affect the probability of the other child being a daughter. Thus, the probability of having a daughter as the other child is also 1/2 or 50%.

Therefore, the answer to the question is that the probability that the other child is a daughter is 1/2 or 50%

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Answer:

24 girls

Step-by-step explanation:

245÷5= 49

49÷2=24.5 so you can estimate that it is 24

A measurable part of a line that consists of two points, called endpoints, and all of the points between them are called Line sigments.

Geometry is a branch of mathematics that deals with how objects can be expressed as relationships of points, lines, planes, surfaces, and dimensions. When we draw lines in geometry, we use an arrow at each end to show that it expands infinitely. A line is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon. The figure below shows the line AB, where the length of the line AB is related to the distance between its endpoints, A and B. The symbol for the line is named after its two endpoints, e.g.

\( \bar{AB}\)

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Answer:

2/3

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

   = ( 3- -1)/ ( 4 - -2)

   = ( 3+1)/ ( 4+2)

   = 4/6

   = 2/3

\(\huge\text{Hey there!}\)

\(\large\textsf{The formula for slope of a line is: }\large\boxed{\mathsf{m = \dfrac{y_2 - y_1}{x_2 - x_1} \ or\ easier \ way\ m = \dfrac{rise}{run}}}\)

\(\large\textsf{NOW LETS ANSWER THE GIVEN EQUATION}\)

\(\large\text{THE GIVEN EQUATION: \boxed{\rm{m = \dfrac{3 - (-1)}{4 - (-2)}}}}\\\large\boxed{m \rm{= \dfrac{3 + 1}{4 + 2}}}\\\\\\\large\boxed{m \rm{= \dfrac{4}{6}}}\\\\\\\large\boxed{m \rm{= \dfrac{4\div 2}{6\div 2}}}\\\\\\\large\boxed{m = \rm{\dfrac{2}{3}}}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. \dfrac{2}{3}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

(3,4)

Step-by-step explanation:

Step-by-step explanation:

6x-2y=10

y+2x=10

2y+4x=20

6x-2y+2y+4x=10+20

10x. =30

X=3

y+2x=10

y+6=10

y=4

To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.

Start by assuming the opposite, that is, 3x > y.

From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)

We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)

Simplifying, we get:
\(y(14x - 12y) \leq 0\)

Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.

If y ≤ 0, then 3x ≤ y is trivially true.

If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)

But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.

Therefore, we can conclude that 3x ≤ y.

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Answer:

The answer is -7

Step-by-step explanation:

slope= △Y -7

------ = ----- = (-7)

△X 1

Answer:

Commutative property of multiplication

Step-by-step explanation:

Answer:

Jan is using commutative property.

Step-by-step explanation:

Commutative property is when you switch values and they don't make a change in the outcome.

Just remember, this only applies to addition and multiplication but does not apply to division or subtraction!!!

Examples:

2+4=6

4+2=6

9x3=27

3x9=27

Answer:

Step-by-step explanation:

Height of model = 20 ft ⋅ (2 in)/(5 ft) = 8 in

Answer:

False

Step-by-step explanation:

SO SO SO SO SO SO SO sry if this is wrong!!!! i'm 99.9 persecnt sure its right!!!!  :):)::)