4+(1/5)[-10*(25-13-3)}÷(-5)]​

[tex]-16=k\cdot2^2\\4k=-16\\k=-4[/tex]

The simplified form of (5m² - 3)² is 25m⁴ - 30m² + 9.

Given is an expression (5m² - 3)², we need to simplify the expression,

To multiply the expression (5m² - 3)², we can use the formula for squaring a binomial:

(a - b)² = a² - 2ab + b²

In this case, a = 5m² and b = 3.

Substituting these values into the formula, we get:

(5m² - 3)² = (5m²)² - 2(5m²)(3) + (3)²

= 25m⁴ - 30m² + 9

Therefore, the simplified form of (5m² - 3)² is 25m⁴ - 30m² + 9.

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Answer:

Step-by-step explanation:

Given midsegment EF = (4x+6) and base segment BC = (9x+4) of a trapezoid with base AD = 3, you want the value of x and the lengths of the two segments EF and BC.

The midsegment parallel to the base segment is the average of the lengths of the parallel bases.

  4x +6 = 1/2((9x +4) +3))

  8x +12 = 9x +7 . . . . . . . . . multiply by 2 and simplify

  5 = x . . . . . . . . . . . . subtract 8x+7

Using this value of x, we find the lengths of the segments to be ...

  EF = 4·5 +6 = 26

  BC = 9·5 +4 = 49

  (BC +AD)/2 = EF

  (49 +3)/2 = 52/2 = 26 . . . . as required

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Answer:

22 is answer

Step-by-step explanation:

Answer:

лвоалалалоала.сллслала лвлвлвл

The factored form of the expression 12a - b is simply 12a - b.

We have,

The concept used in the expression 12a - b is that of combining like terms. When we have an algebraic expression like this, the goal is typically to simplify or rewrite it in a more concise form.

In this case, 12a and -b are two terms in the expression.

The concept of combining like terms allows us to combine these terms together if they have the same variable(s) raised to the same power(s).

The expression 12a - b cannot be factored further using simple algebraic techniques.

Factoring typically involves breaking down an expression into its constituent factors, such as common factors or binomial factors.

However, in the case of 12a - b,

There are no common factors or binomial factors that can be extracted.

Therefore,

The factored form of the expression 12a - b is simply 12a - b.

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Hello!

4 + (6/10) + (7/100)

= 4 + 0.6 + 0.07

= 4.67

Answer:

23

Step-by-step explanation:

An integer is a whole number that can be positive, negative, or zero, without any fractional or decimal parts.

The given expressions for three consecutive integers are:

Give that twice the first number is 20 more than the second:

[tex]2x = (x + 1) + 20[/tex]

Solve this equation for x:

[tex]\begin{aligned}2x &= (x + 1) + 20\\2x&=x+1+20\\2x&=x+21\\2x-x&=x+21-x\\x&=21\end{aligned}[/tex]

The expression for the largest integer is (x + 2).

Therefore, to find the largest number, substitute the found value of x into this expression:

[tex]\begin{aligned}\sf Largest\;number&=(x+2)\\&=21+2\\&=23\end{aligned}[/tex]

Therefore, the largest number is 23.

Answer: Therefore, the correct factorization by grouping is (a - 2)(6a - 5).

Step-by-step explanation:

To factor 6a² - 12a - 5a + 10 by grouping, we can group the terms in pairs:

6a² - 12a - 5a + 10

Taking common factors from the first two terms and the last two terms separately:

6a(a - 2) - 5(a - 2)

Now, we can see that (a - 2) is common in both terms, so we can factor it out:

(a - 2)(6a - 5)

Hello!

6a² - 12a - 5a + 10

= 6a² - 17a + 10

= 6a² - 5a - 12a + 10

= (6a² - 5a) + (-12a + 10)

= a(6a - 5) - 2(6a - 5)

= (6a - 5)(a - 2)

The estimate for the number of females in marketing is given as follows:

225 females.

A bar graph shows the output considering a given input. In the context of this problem, the inputs are the prices, and for each input there are two outputs, which are the number of male employees and the number of females employees in each department.

For this problem, the second input is the number of male employees and the number of females employees in the marketing departments.

Hence the number of employees is given as follows:

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A graph of this quadratic equation x² + x - 6 = 0 is shown below.

The solutions to the equation x² + x - 6 = 0 are (-3, 0) and (2, 0).

In Mathematics, the graph of a quadratic function always form a parabolic curve or arc because it is u-shaped. Based on the graph of this quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive one (1) and the value of "a" is greater than zero (0).

Since the leading coefficient (value of a) in the given quadratic function x² + x - 6 = 0 is positive one (1), we can logically deduce that the parabola would open upward and the solution would be on the x-intercepts (-3, 0) and (2, 0). Also, the value of the quadratic function f(x) would be minimum at -6.25.

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Each friend drank a total of 3 beverages during their visit to the beach.

To find the number of beverages each friend drank, let's assume the number of drinks they brought and consumed this year is represented by 'x'.

From the given information, we can set up the following equations:

Last year:

5x + 2 = Total number of drinks (equation 1)

This year:

3x + 8 = Total number of drinks (equation 2)

Since the total number of drinks should be the same in both years, we can set equation 1 equal to equation 2:

5x + 2 = 3x + 8

Now, let's solve this equation to find the value of 'x':

5x - 3x = 8 - 2

2x = 6

x = 3

So, each friend drank 3 canned drinks both last year and this year.

Therefore, each friend drank 3 beverages.

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The percentage improvement in reliability when test length is doubled is 15%

R(n) = 0.25n / (0.75 + 0.25n)

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(1) = 0.25(1) / (0.75 + 0.25(1))

R(1) = 0.25 / 1

R(1) = 0.25

when test length is doubled , n = 2

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(2) = 0.25(2) / (0.75 + 0.25(2))

R(2) = 0.5 / 1.25

R(2) = 0.4

Percentage improvement can be calculated thus ;

R(2)-R(1)/R(1) × 100%

(0.4-0.25)/0.25 × 100%

0.15 × 100%

=15%

Therefore, percentage improvement in reliability is 15%

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Answer:

5.25 feet tall

Step-by-step explanation:

Doug's height / Doug's shadow = Statue's height / Statue's shadow

x / 3.5 = 12 / 8

Cross-multiplying:

8x = 3.5 * 12

8x = 42

Dividing both sides by 8:

x = 42 / 8

x ≈ 5.25

The image of the figure  after dilation is attached and the new dimensions are

A'B' = C'D' = 6 units

A'D' = B'C' = 2 units

To find the new dimensions after dilation, we need to know the dimension of the preimage.

Examining the attached figure, assuming each do represent 1 unit we have that

AB = CD = 18 units

AD = BC  6 units

Using the scale factor of 1/3 results to

A'B' = C'D' = 18 * 1/3 = 6 units

A'D' = B'C' =  6 * 1/3 = 2 units

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The probability of either events A or B occurring is determined as 0.89.

The probability of either events occurring is calculated by applying the following formula as shown below;

P (A or B ) = P ( A ) + P ( B )

The probability of A is calculated as follows;

P ( A ) = A / total outcome

P ( A ) = ( 20 ) / ( 20 + 12 + 4 )

P ( A ) = ( 20 ) / ( 36 )

P ( A ) = 5/9

The probability of B is calculated as follows;

P ( B ) = B / total outcome

P ( B ) = 12 / 36

P ( B ) = 1/3

The probability of either A or B is calculated as follows;

P (A or B) = 5/9  +  1/3

P (A or B) = 8/9 = 0.89

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The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

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Answer:

Step-by-step explanation:

Answer:

h(t) = 1.75 cos (π/6) + 2.25

Step-by-step explanation:

the amplitude of a regular cos graph is 1 (it alternates between +1 and -1 on the y-axis). that is, amplitude =  (1 - -1)/2 = 2/2 = 1.

this graph has amplitude (4 - 0.5)/2 = 3.5/2 = 1.75.

the graph repeats for every sixth value on the x-axis (time axis).

in the x-axis direction, a cos graph that becomes 6 times larger is cos (π/6). a cos graph that becomes 6 times smaller is cos (6π).

so for our graph, it is cos (π/6).

what about the y-shift?

the graph has already been enlarged 1.75 times parallel to the y-axis.

it crosses the y-axis at 4. so the y-shift is 4 - 1.75 = 2.25.

so our graph is given by h(t) = 1.75 cos (π/6) + 2.25

Answer: got it right

h(t)=1.75, cos(1/3), + 2.25

Step-by-step explanation:

In the given expression, "2" represents that each new year the profits double with respect to the previous year. So the correct answer is D) that each new year the profits double with respect to the previous year.

In the given expression, the variable "t" represents the number of years that have passed since the initial investment was made. The expression 1,000,000 × 2t calculates the profit obtained after "t" years.

Therefore, the correct answer is D) that each new year the profits double with respect to the previous year.

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The profit obtained after t years of

have made an initial investment of

$1,000,000 is given by the expression:

1,000,000 × 2t

What does the number 2 represent in the

previous expression?

A) the profits obtained in the second year

B) the profits obtained in the last year

C) that every new year the profits are cut in half

D) that each new year the profits double with respect to the previous year

Mis disculpas por la respuesta anterior, cometí un error en la explicación. La respuesta correcta es la opción D. La expresión 1.000.000 × 2t indica que cada nuevo año las ganancias se duplican con respecto al año anterior.

                                                                                     En la expresión, el número 2 indica que las ganancias se duplican cada año con respecto al año anterior. La expresión 1.000.000 × 2t significa que la inversión inicial de un millón de dólares se multiplica por 2 elevado a la potencia de t, donde t es el número de años que han pasado.Cuando t=1, se refiere al primer año después de la inversión, y la ganancia sería 1.000.000 dividido por 2=1, es decir, dos millones. Esto significa que las ganancias del segundo año (opción A) serían de 2.000.000 de dólares.En general, las ganancias del año anterior se duplican cada año subsiguiente. Por lo tanto, la D es la opción correcta porque significa que las ganancias se duplican cada año con respecto al año anterior.

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The horizontal variance of sales between 2021 and 2022 is 340

By removing the sales figure of 2021 from that of 2022, we are able to arrive at the above figure.

That is Amount of 2022  – Amount of 2021 = Absolute Change.

Figure for 2022 = 3800

Less

Figure for 2021 = 3,460

Variance                340

Excel formula : = Cell no. of amount of 2022 - Cell no of amount of 2021

Note that a negative amount means decrease and positive amount means increase.

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The numeric values for this problem are given as follows:

The function in this problem is a piecewise function, meaning that it has different definitions based on the input x of the function.

For x between -2 and 2, the function is defined as follows:

g(x) = -(x - 1)² + 2.

Hence the numeric value at x = -1 is given as follows:

g(-1) = -(-1 - 1)² + 2 = -4 + 2 = -2.

For x at x = 2 and greater, the function is given as follows:

g(x) = 0.5x - 1.

Hence the numeric values at x = 2 and x = 3 are given as follows:

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Answer:

$60

Step-by-step explanation:

Based on the regression equation, the best prediction for the price of a 70-pound container of detergent can be found by substituting x = 70 into the equation:

y^ = 0.86x + 0.52

y^ = 0.86(70) + 0.52

y^ = 60.2 + 0.52

y^ ≈ $60.72

Therefore, the best prediction for the price of a 70-pound container of detergent is approximately $60.72. However, since we are dealing with prices, it is reasonable to round this value to the nearest dollar, which would be $61. But since none of the answers are 61 it would be $60.

Answer: 70 + 3 + [tex]\frac{9}{100}[/tex]

Step-by-step explanation:

     Firstly, what is expanded form? Expanded form is a sum of a number's digit place values.

     For example, the expanded form of 814 is 800 + 10 + 4.

To find the expanded form of 73.09, we will do the same as the example provided above. However, we have a decimal. This means we will use a fraction. This 9 is in the hundredth place, so we will use the fraction  [tex]\frac{9}{100}[/tex].

73.09 = 70 + 3 + [tex]\frac{9}{100}[/tex]

Answer:

швлалалаось.чллслслслсб вщлалс

The difference between the two polynomials is 5m^(2)n^(5) - 3m^(2)n^(3) + 5mn + m + n.

To subtract the second polynomial from the first polynomial, we need to perform term-wise subtraction. Let's break down the process step by step:

The first polynomial is: 11m^(2)n^(5) - 3m^(2)n^(3) + 5mn - n.

The second polynomial is: -6m^(2)n^(5) + 3m^(2)n^(5) + m + 2n.

To subtract the second polynomial from the first, we need to change the signs of all terms in the second polynomial and then combine like terms.

First, let's change the signs of the terms in the second polynomial:

-(-6m^(2)n^(5) + 3m^(2)n^(5) + m + 2n) = 6m^(2)n^(5) - 3m^(2)n^(5) - m - 2n.

Now, we can combine like terms by adding or subtracting coefficients of similar monomials:

(11m^(2)n^(5) - 3m^(2)n^(3) + 5mn - n) - (6m^(2)n^(5) - 3m^(2)n^(5) - m - 2n)

= 11m^(2)n^(5) - 3m^(2)n^(3) + 5mn - n - 6m^(2)n^(5) + 3m^(2)n^(5) + m + 2n

= (11m^(2)n^(5) - 6m^(2)n^(5)) + (-3m^(2)n^(3) + 3m^(2)n^(5)) + (5mn + m) + (-n + 2n)

= 5m^(2)n^(5) - 3m^(2)n^(3) + 5mn + m + n.

Therefore, the difference between the two polynomials is 5m^(2)n^(5) - 3m^(2)n^(3) + 5mn + m + n.

In summary, to find the difference, we changed the signs of all terms in the second polynomial and then combined like terms with the first polynomial. The resulting polynomial is the difference between the two original polynomials.

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The elements in the range that correspond to the elements 0 and 3 are y = 2 and y = 4 and the equations are solved.

Given data ,

To find the elements in the range that correspond to the elements 0 and 3 of the domain, we need to solve the equation 3y - 2x = 6 for the corresponding values of y when x = 0 and x = 3.

When x = 0:

Substituting x = 0 into the equation 3y - 2x = 6, we get:

3y - 2(0) = 6

3y = 6

y = 2

So, when x = 0, the corresponding value of y is 2.

When x = 3:

Substituting x = 3 into the equation 3y - 2x = 6, we get:

3y - 2(3) = 6

3y - 6 = 6

3y = 12

y = 4

So, when x = 3, the corresponding value of y is 4.

Hence , the elements in the range that correspond to the elements 0 and 3 of the domain are y = 2 and y = 4, respectively.

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Answer:

Step-by-step explanation:

To solve the expression 4(-2)² + 8(-2) + 3(-2) + 6, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, Addition and Subtraction - from left to right).

First, we will simplify any calculations within parentheses:

4(-2)² + 8(-2) + 3(-2) + 6

(-2)² is equal to (-2) * (-2), which is 4:

4 * 4 + 8(-2) + 3(-2) + 6

Next, we perform the multiplication:

4 * 4 = 16

Now, we have:

16 + 8(-2) + 3(-2) + 6

Next, we continue with the multiplication:

8(-2) = -16

3(-2) = -6

Now, we have:

16 + (-16) + (-6) + 6

Finally, we simplify the addition and subtraction from left to right:

16 + (-16) = 0

0 + (-6) = -6

-6 + 6 = 0

Therefore, the expression 4(-2)² + 8(-2) + 3(-2) + 6 simplifies to 0.

Answer:

Step-by-step explanation: