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2(4z + 9) = 34

Answer:

Step-by-step explanation:

To convert this mixed numbers;  mixed numbers are converted by multiplying the denominator with the whole number and add answer gotten to the numerator.  you then place final answer over the denominator.

1.  21 /3  x  9 2/3  = 21/3 x 29/ 3

7 x 9.67  = 67.66

2.  5 3/7 x 2 2/5  =  38 / 3   x   12 /5  =

                             12.67   x  2.4 =  30.43

3.  2 6/13  x  2 1/4  =  32 / 14   x  9 /4

                                     2.28  x  2.25  = 9.13

4.  2 11/12 x 3 7/9   =  35 / 12  x  34 /9

                                  2.916  x 3.77   =  11.016

5.  5 3/5 x 5 1/7  =  28/5  x 31 / 7

                              5.6   x 4.428  = 24.8

6.   2 2/3 x 2 11/14   =  8/3  x  39/14

                                    2.66      x  2.78 =  7.413

7.   7 1/4  x 2 1/2  = 29/4   x  5 /2

                              7.25   x 2.5   = 18.125

8.  1 12/3  x 2 2/3 =  15 /3   x  8/3

                               5  x 2.66   =  13.33

9. 2 3/4  x 1 1/6 =   11/4  x 7/6

                                2.75 x  1.166  = 3.20

10.  10 1/3  x 2 1/5 =  31/3 x 11/5

                                  10.33  x  2.2  =  22.726

Answer: $466

Step-by-step explanation:

Answer:

b.$466

Step-by-step explanation:

The equation of the line passing through (1, 1) and and with -1 as y-intercept is is 2x - y - 1 = 0..

The equation of line in general form is expressed as:

Ax + Bx + C = 0.

From the graph, the line passes through points (0,-1) and (1,1).

First we determine the slope of the line:

\(m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{1 - (-1) }{1 - 0} \\\\m = \frac{1 + 1 }{1 - 0} \\\\m = \frac{ 2 }{1 } \\\\m = 2\)

Next, we can choose either of the given points to substitute into the point-slope form.

Point (0, -1) and slope 2:

y - y₁ = m(x - x₁)

y - (-1) = 2(x - 0)

y + 1 = 2x

y = 2x - 1

Now, we express the equation in general form (Ax + By + C = 0), we move all terms to one side:

2x - y - 1 = 0

Therefore, the equation of the line in general form is 2x - y - 1 = 0.

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The parabola's equation is y = -x2 + 12x - 27.

A parabola is a point's location where the focus and a fixed point's distance from a fixed line, known as the directrix, are the same.

A parabola's equation is in quadratic form.

Thus, it is stated as:

Y = Ax2, Bx, and C

Located at (3, 0):

0 = a(3²) + b(3) + c

9a + 3b + c = 0 (1) (1)

Located at (9, 0):

0 = a(9²) + b(9) + c

81a + 9b + c = 0 (2) (2)

Located at (10, -7):

-7 = a(10²) + b(10) + c

100a + 10b + c = -7 (3) (3)

Equations 1, 2, and 3 are solved to yield: a = -1, b = 12, and c = -27.

Consequently, the parabola's equation is y = -x2 + 12x - 27.

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Answer:-96

Step-by-step explanation:

Answer:

\( n = \sqrt[3]{78} \)

Step-by-step explanation:

\( - 10 - {n}^{3} = - 88 \\ \\ - {n}^{3} = - 88 + 10 \\ \\ - {n}^{3} = - 78 \\ \\ {n}^{3} = 78 \\ \\ n = \sqrt[3]{78} \)

An example with addition is 3x(20+5) as 20 plus 5 is still 25, and an example with subtraction is 3x(30-5), as 30 minus 5 is 25.

Answer:

4 5/12

Step-by-step explanation:

19/4 - 1/3 = ?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(19/4, 1/3) = 12

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.

(19/4 × 3/3)− (1/3 × 4/4)=?

Complete the multiplication and the equation becomes

57/12−4/12=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

57−4/12= 53/12

This fraction cannot be reduced.

Answer: 11.5

Step-by-step explanation: turn the improper fraction into proper fraction.

Answer:

work is shown and pictured

The m∠EXD and m∠AXE are the supplementary angles.

The two angles will be linear pairs if the sum is 180° therefore, linear pair of 62° is 118°. The value of x in the figure is 113°

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

01)

Two angles will be linear pairs if their sum is 180°.

If the first angle is 62° then the second will be 180° - 62° = 118°

Hence "The two angles will be linear pairs if the sum is 180° therefore, linear pair of 62° is 118°".

02)

The angle x is in the same line with supplementary angle 67° so

x = 180 - 67 = 113°.

Hence "The value of x in the figure is 113°".

03)

In the figure, AXD is a straight line, therefore,

m∠EXD +  m∠AXE  = 180°

Since the sum of two angles is 180° then they are called supplementary angles.

Hence "The m∠EXD and m∠AXE are the supplementary angles".

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A logical argument cannot have a true conclusion and all true premises. A logical argument cannot have all true premises if it has a false conclusion. So at least one of the premises must be untrue.

If the premises and conclusion are connected in such a way that if the premises were true, then the conclusion would also have to be true, then the argument is considered valid.

FALSE. A strong argument has all true premises and is valid. Since a good argument is valid, it follows that the conclusion must also be true if all of the premises are true. A sound argument must have a true conclusion since a sound argument also has all true premises.

Hence we get the required answer.

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Given the equation:

To solve this equation for x, we need to take the binary logarithm on both sides of the equation:

There are two important properties of logarithms (binary or any other kind):

Answer:

l + w = 25 and lw = 136

w(25 - w) = 136

25w - w² = 36

w² - 25w - 136 = 0

(w - 17)(w - 8) = 0

w = 8, so l = 17

The dimensions of the bookmark are 8 cm by 17 cm.

Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

Answer:

C

Step-by-step explanation:

Becuase 5^5^7^8=666

The given initial value problem is a second-order linear homogeneous ordinary differential equation with an input in the form of a delta function.

The general solution to the homogeneous equation y'' + 16π^2y = 0 is given by y(t) = A sin(4πt) + B cos(4πt), where A and B are constants to be determined.

To solve the complete initial value problem, we need to consider the effect of the input term, which is a delta function δ(t-1) with amplitude 4π. The delta function represents an instantaneous impulse at t = 1.

To find the particular solution for the given input, we can use the method of variation of parameters. Let's denote the particular solution as yp(t) = u(t) sin(4πt) + v(t) cos(4πt).

We need to find the derivatives of yp(t):

yp'(t) = u'(t) sin(4πt) + u(t) (4π cos(4πt)) + v'(t) cos(4πt) - v(t) (4π sin(4πt))

yp''(t) = u''(t) sin(4πt) + u'(t) (4π cos(4πt)) + u'(t) (4π cos(4πt)) - u(t) (16π^2 sin(4πt)) + v''(t) cos(4πt) - v'(t) (4π sin(4πt)) - v'(t) (4π sin(4πt)) - v(t) (16π^2 cos(4πt))

Substituting these derivatives back into the differential equation:

u''(t) sin(4πt) + u'(t) (4π cos(4πt)) + u'(t) (4π cos(4πt)) - u(t) (16π^2 sin(4πt)) + v''(t) cos(4πt) - v'(t) (4π sin(4πt)) - v'(t) (4π sin(4πt)) - v(t) (16π^2 cos(4πt)) + 16π^2 (u(t) sin(4πt) + v(t) cos(4πt)) = 4π δ(t-1)

To satisfy the delta function, we have:

u(t) sin(4πt) + v(t) cos(4πt) = 0 for t ≠ 1

Since the left side of the equation is zero for t ≠ 1, the terms involving sin(4πt) and cos(4πt) must be zero independently. Therefore, we have the following equations:

u(t) = 0 for t ≠ 1

v(t) = 0 for t ≠ 1

Next, we need to consider the effect of the delta function at t = 1. The equation becomes:

u''(1) sin(4π) - u(1) (16π^2 sin(4π)) + v''(1) cos(4π) - v(1) (16π^2 cos(4π)) = 4π

The derivatives u''(1) and v''(1) are unknown at this point, so we introduce two parameters to represent them:

u''(1) = A

v''(1) = B

Now, let's integrate the equations for u(t) and v(t) to find their values:

u(t) = 0 for t ≠ 1

v(t

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Answer:

Step-by-step explanation:

-11

PLUG IN THE VALUES IN THE RIGHT POSITIONS AND SIMPLIFY.

\( = 2( \frac{1}{2} + \frac{3}{4} ) + 6 \\ = 2( \frac{5}{4} ) + 6 \\ = \frac{10}{4} + 6 \\ = \frac{5}{2} + 6 \\ = \frac{17}{2} \)

THE ANSWER IS OPTION C.

Option - B : Decision support system is a flexible tool for data analysis, since its reports do not have a fixed format.

  Decision support systems, a subset of business intelligence, are created to help organisations make sensible business decisions based on vast volumes of analysed data. Huge volumes of data are analysed using an interactive information system called a decision support system (DSS) to aid in the direction of business choices. A DSS aids management, operations, and planning levels of an organisation in making better decisions by assessing the importance of uncertainties and the tradeoffs involved in selecting one option over another. A DSS uses a variety of raw data, papers, personal knowledge, and/or business models to aid users in making decisions. A DSS may make use of relational data sources, cubes, data warehouses, electronic health records (EHRs), income projections, sales projections, and other sources.

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The statements that apply are:

We have the function f(x) = 2ˣ - 3

So, the true statement for the function f(x) = 2ˣ - 3 are :

The remaining statements do not apply to the given function:

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Answer: Susan has 105 dollars

Step-by-step explanation:

dozen is 12, 12 times 4 is 48, 48 divided by 4 is 12, 12 times 8.75 is 105

A , B, C are the amounts of each product

10A + 8B + 20C = 6000 <--- volume constraints

10A + 20B + 40C = 11000  <---- weight constraints

100A + 20B + 200C = 36900  <---- $$$$

Byproducts are things created in a process, typically one that is industrial or biological, in addition to the main result. A byproduct of the sugar refining process is sulfured molasses.

the first two equations together:

10A + 8B + 20C = 6000

10A + 20B + 40C = 11000

first is subtracted from second: 12B + 20C = 5000 3B + 5C = 1250 —- identifies this equation. ALPHA

Connect the second and third equations:

10A + 20B + 40C = 11000

100A + 20B + 200C = 36900

The top equation is multiplied by 10:

100A + 200B + 400C = 110000 —— Weight restrictions

100A + 20B + 200C = 36900 <—— $$$$

takes them away:

180B + 200C = 73100

18B + 20C = 7310

9B + 10C = 3655 —- identifies this equation. ALPHA BETA: BETA: 9B + 10C = 3655 3B + 5C = 1250

ALPHA is multiplied by 3:

9B + 15C = 3750

9B + 10C = 3655

takes them away:

5C = 95\s C = 95/5 = 19

Plugging into BETA yields the following results: 9B + 10(19) = 3655 9B = 3655 - 190 B = 385

Adds to the initial first equation:

10 A + 8(385) + 20(19) = 6000 A=254\s A=254\sB=385\sC=19

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

triangle ABC:

CA = 10

AB = 8

CB = 6

triangle DEF:

FD = x

DE = 12

FE = y

Step 02:

similar triangles:

10 * 12 = 8 * x

120 = 8x

120 / 8 = x

15 = x

6 * 12 = 8 * y

72 = 8y

72 / 8 = y

9 = y

The answer is:

x = 15

y = 9

For a quadratic equation, we start out seeking 2 solutions.

According to the statement

We have to find about the quadratic equation.

So, For this purpose, we know that the

Quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power

From the given information:

when we solve a quadratic equation, how many solutions should we always start out seeking.

Then

Here, we are required to search out out what number solutions to start out out seeking while solving a equation and also the condition for a quadratic graph not having zeros ( no x-intercepts).

Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.

And, a quadratic can haven't any zeros ( no x intercepts) if the roots of the equation are complex numbers.

A quadratic is one which has the very best degree of its variable ( usually x) to be 2.

Consequently, after we solve a quadratic, one should start out seeking two (2) solutions.

This is so because, the quantity of solutions to begin out seeking corresponds with the very best power of the experimental variable, X.

Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.

Therefore, where X¹ occurs in an equation, it's linear and consequently has 1 solution.

And, where X² occurs in an equation, it's quadratic and consequently has 2 solutions.

It is possible to possess a quadratic with no zeros (i.e no x-intercepts).

So, For a quadratic equation, we start out seeking 2 solutions.

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The number of subjects needed to estimate the mean number of books read per year with a certain level of confidence is calculated in different scenarios. In the first scenario, to estimate within six books with 90% confidence, the required number of subjects is determined.

In the second scenario, the number of subjects needed to estimate within three books with 90% confidence is calculated. The effect of doubling the required accuracy on the sample size is examined. Lastly, the number of subjects required to estimate within six books with 99% confidence is determined and compared to the first scenario.

(a) To estimate the mean number of books read per year within six books with 90% confidence, the required number of subjects is determined. The specific confidence level of 90% requires rounding up the number of subjects to the nearest whole number.

(b) Similarly, the number of subjects needed to estimate within three books with 90% confidence is calculated, rounding up to the nearest whole number.

(e) Doubling the required accuracy does not quadruple or quarter the sample size. Instead, it doubles the sample size.

(d) To estimate within six books with 99% confidence, the required number of subjects is calculated. This higher confidence level requires a larger sample size compared to the first scenario in part (a). Increasing the level of confidence in the estimate generally leads to a larger sample size because a higher confidence level requires more data to provide a more precise estimation. This is reasonable because higher confidence levels correspond to narrower confidence intervals, which necessitate a larger sample size to achieve.

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The population parameter is the average amount of time for all students to complete the standardized test. The 90% confidence interval [108.6, 143.4] means that we are 90% assured that the true population means lies within this range.

The population parameter in this case is the average amount of time, in minutes, for all students to complete the standardized test.

The interpretation of the 90% confidence interval [108.6, 143.4] is that we are 90% confident that the true population means that it falls within this interval. It means that if we were to repeat the sampling process multiple times and construct 90% confidence intervals, approximately 90% of these intervals would capture the true population mean. In this specific case, we can be 90% assured that the average time for all students taken to complete the standardized test must be between 108.6 and 143.4 minutes.

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The scale factor used to create the dilation is -4.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

When dilation is not about the origin then in order to find the scalar factor, we need to find the ratio of the corresponding lengths.

2 Vertices of smaller triangle (Pre-image):

(1,-1) and (1,1)

Length of side:

Distance=√(x₂-x₁)²+(y₂-y₁)²

√(1-1)²+(1-(-1))²=√4=±2

Since distance is always positive so its 2 units.

2 Vertices of bigger triangle(Image):

(1,-1) and (1,-9)

√(1-1)²+(-9-(-1))²=√64=±8

Since distance is always positive so its 8 units.

For the given figure we see that the dilated image is rotated 180° from the original position. Thus, for such dilation the scalar factor is taken negative.

Thus the scalar factor can be calculated as: -8/2=-4

Hence, the scale factor used to create the dilation is -4.

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The capacity of Supercut in customers per hour is 18.

The capacity of Supercut is the total number of customers served by three stylists in an hour, considering the average time it takes each stylist to serve one customer. This capacity calculation helps Supercut in keeping up with demand and avoiding long waiting periods, which could discourage clients.

The given data: Supercut salon has three stylists. The average time each stylist takes to serve one customer is 10 minutes. According to the data provided, it takes 10 minutes for each stylist to serve one customer, and there are three stylists. So, in 1 hour (60 minutes), each stylist will have the capacity to serve six clients.

Supercut's total capacity in an hour is calculated by adding up the capacity of each stylist. Therefore, the capacity of Supercut is: Capacity of Supercut = Capacity of each stylist * Number of Stylists= 6 customers * 3 stylists= 18 customers. Therefore, the capacity of the Supercut salon in customers per hour is 18.

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