Question (Leo has an allowance of $80 from doing chores. He puts $22 into his
savings account. Leo plans to buy 4 new shirts this month. How much
money can Leo spend on each shirt?)

Answer:

$6.35

Step-by-step explanation:

25.40/4 = 6.35

It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.

In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.

Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.

So, it is unknown if any polynomial-time algorithms will ever be developed for them.

By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

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The system of equations is

125a + 65s = 1200

140a + 50s = 1230

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

125a + 65s = 1200

140a + 50s = 1230

-3500a - 1820s = -33600  

3500a + 1250s = 30750

-570s = -2850

s = $5

student

125a + 65(5) = 1200

125a + 325 = 1200

125a = 875

a = $7 adult

the other situation means that they didn't do it right at all

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A set-to-set function f is a relation that assigns one element of the set A to each element of the other set B. The set A is the domain of the function (also called the set of inputs) and the set B contains the range (also called the set of outputs).

Let's denote f as exponential function with the base 'a':

                                  f(x) = a ˣ

where, a > 0 and a ≠ 1 and x is any real number.

1. Not an exponential function:

We have the following equation:

[tex]y = 100 (1 - 12)^{t}[/tex]

We can write the equation as:

[tex]y = 100 (-11)^{t}[/tex]

Let's denote f as exponential function with the base 'a':

                                  f(x) = a ˣ

where, a > 0 and a ≠ 1 and x is any real number.

Therefore: a must be more than 01.

In this problem, a = -11, therefore this is not an exponential function.

2. Growth.:

The function:

[tex]y= 0.1(1.25)^{t}[/tex]

The above equation is an exponential function because is a function of the form

[tex]f(t) = ka^t[/tex]

where, a > 0 and k is constant

Therefore, k = 0.1 and  a = 1.25 . So, a is greater than 1.

3. Growth:

The function:

[tex]y = {(1 - 0.03)12}^2t[/tex]

The above equation can be written as:

[tex]y = 11.64^{2t}[/tex]

which  is an exponential function because is a function of the form

[tex]f(t) = a^{bt}[/tex]

where, a > 0 and b is constant.

So, a = 11.64 and b = 4 . Since a is greater than 1.

4. Decay:

The function:

[tex]y = 426(0.98)^t[/tex]

This is an exponential function because is a function of the form

[tex]f(t) = ka^t[/tex]

where, a > 0 and k is constant

So, k = 426 and a = 0.98. Since, a is less than 1.  

5. Growth:

The function:

[tex]y = 2050(12)^t[/tex]

This is an exponential function because is a function of the form

[tex]f(t) = ka^t[/tex]

where, a > 0 and k is constant.

So, k = 2050 and a = 12  . Since, a is greater than 01.  

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Answer:0.1875

Step-by-step explanation: you would take the miles and divide it my the minutes which would be 3 divided by 16 which equals 0.1875

Range of the function will be real line.

What do you mean by the range of the function?

Variable values ​​change. This can be represented as a set of values ​​called the function's domain and scope.

domain:

The domain of a function is the set of numbers representing all possible values ​​of x.

range:

A range is a set of numbers representing each potential value that y might have based on a function.

Range of the given function will be real line as for all values of x , value of y is changing and belong to real number. Therefore, range of the function will be real line.

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Answer:

[tex]\frac{19}{6}[/tex]

Step-by-step explanation:

3[tex]\frac{1}6}[/tex]

[tex]\frac{6}{6}[/tex] + [tex]\frac{6}{6}[/tex] + [tex]\frac{6}{6}[/tex] + [tex]\frac{1}{6}[/tex]              [tex]\frac{6}{6}[/tex] is another name for 1  How many 6th's do we have?

[tex]\frac{19}{6}[/tex]

The statement that best describes the type of triangle is;

The triangle is a scalene triangle and also an acute triangle.

Triangles could be classified based on their interior angles or even the number of equal sides of the triangle. Thus;

A triangle is called an acute triangle if all three angles are less than 90°

A triangle is called a right triangle if one angle is 90°

A triangle is called an obtuse triangle if one angle is greater than 90°

A triangle is called an Equilateral triangle if all three sides are the same length

A triangle is called an Isosceles triangle if two sides are the same length

A triangle is called a Scalene triangle if all three sides are of different lengths.

We are given the three angles of the triangle as; 40 °, 60°, and 80°.

Likewise we are given the length of the three sides as 8 cm, 10 cm, and 20 cm.

Since none of the angles nor sides are equal nor 90 degrees, then we can call this a scalene triangle. It can also be classified as an acute angle as all three angles are less than 90 degrees.

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Answer:

Answer is y = 11

Step-by-step explanation:

8 = y - 3

or, 8 + 3 = y - 3 + 3

or, 11 = y

or, y = 11

The solution of the system of equations by the graphical methods yields  x equals 9 and y is 6 i.e, 9 hours of landscaping and 6 hours of waiting tables.

Bella worked x hours working landscaping at $10 per hour.

Total amount earned = 10x

Bella worked y hours working on clearing tables at $ 15 per hour

Amount earned = 15 y

x and y are variables as given

She worked a total of 15 hours and she gets $180 for the combined efforts.

The system of equation can be represented as:

x + y = 15

10x + 15y = 180

Now we will solve the two equations graphically:

So from the attached graph we can see that the point (9,6) is the required solution.

Hence she worked landscaping for 9 hours and clearing tables for 6 hours.

Let us solve by substitution to verify the results:

x + y = 15

or, x = 15 - y

Now 10x + 15y = 180

or, 10 (15-y) + 15y = 180

or, 150 - 10y +15y = 180

or, 5y = 180 - 150

or, y = 6

At y = 6 , x = 15 - 6 = 9

Hence (9,6) is the solution.

System of equations also known as simultaneous equations can also be solved by the elimination method.

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The length v of the triangle is 240.4 inches

From the question, we have the following parameters that can be used in our computation:

w = 690 inches

∠W = 79°

∠V = 20°

The length v can be calculated using the following sine rule

v/sin(V) = w/sin(W)

Substitute the known values in the above equation, so, we have the following representation

v/sin(20°) = 690/sin(79°)

Multiply both sides of the equation by sin(20°)

So, we have the following representation

v = sin(20°) * 690/sin(79°)

Evaluate the products

v = 240.41

Hence, the length of side v is 240.4 inches

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Complete question

In ΔUVW, w = 690 inches, ∠W=79° and ∠W=20°

Calculate the length v to the nearest 10th of an inch.

Answer:

B, F

Step-by-step explanation:

[tex]2x^2(x-4)^2=0 \\ \\ \implies x^2=0, (x-4)^2=0 \\ \\ \implies x=0,4[/tex]

Answer:

  A, C

Step-by-step explanation:

You want all the shapes that are enlargements of shape X, which is 1 unit high and 3 units wide.

An enlargement of shape X multiplies each of its dimensions by the same factor. When it is enlarged by a factor of 2, the dimensions become ...

  high : wide = 1 : 3 = 2 : 6 . . . . . . matches shape C

When it is enlarged by a factor of 3, the dimensions become ...

  high : wide = 1 : 3 = 3 : 9 . . . . . . . matches shape A

The 2-high shape B is too short, being 4 1/2 wide instead of 6. Shape F is too long, being 7 wide instead of 6.

The 3-high shapes D and E are too short, being 8 and 5 wide instead of 9.

__

Additional comment

An enlargement preserves the aspect ratio of the shape, the height to width ratio. Here, that is 1:3. Any shape with a different aspect ratio is not an enlargement of X.

How many hours per pound does it take to thaw a turkey?

Allow 30 minutes of thawing time for each pound of turkey, which translates to two to six hours for a 4- to 12-pound turkey. A 12- to 15-pound bird will thaw in six to eight hours. Still having trouble determining the thaw time of the turkey?

Hope this helps :D

The answer: A

35.8 inches

The value of x for the inequality x > 8 is false will be;

⇒ x ≤ 8

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ x > 8

Now,

Since, The inequality is,

⇒ x > 8

It is true for all values greater than 8.

Thus, This inequality is false for all values less than or equal to 8.

That is,

⇒ x ≤ 8

So, The correct solution is,

⇒ x ≤ 8

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Answer:

c 1 over 15

Step-by-step explanation:

To multiply fractions, you can multiply the numerators (top parts) and multiply the denominators (bottom parts) separately.

1/3 * 1/5 = (1 * 1) / (3 * 5) = 1/15

"double check answer"

Answer:

need the numbers to do it

The simplified equation is y = 3x -40.

What do you mean by translation of graph?

Translating a graph means that moving the graph of a parent operate either vertically or horizontally. To translate a graph vertically means that to shift the graph k units upward or downward looking on the sign of k. If k is positive, shift the graph upward however if k is negative, shift the graph downward. On the opposite hand, translating a graph horizontally means that shifting the graph side wards by h units to the left or to the correct. If h>0, shift the graph to the correct however if h<0, shift the graph to the left.

Main body:

According to question:

Y = √9x-36-4

√9 can be written as 3.

y = 3x -40

Hence , the simplified equation is y = 3x -40.

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The equation of a hyperbola can be written in the form:

(x-h)^2/a^2 - (y-k)^2/b^2 = 1

where (h, k) is the center of the hyperbola, a is the distance from the center to the vertices on the x-axis, and b is the distance from the center to the vertices on the y- axis.

In this case, the vertices of the hyperbola are (6,4) and (0,4), and the center of the hyperbola is at (3,4). The distance from the center to the vertices on the x- axis is 3, and the distance from the center to the vertices on the y- axis is 0.

Plugging these values into the equation for a hyperbola, we get:

(x-3)^2/3^2 - (y-4)^2/0^2 = 1

This equation is not defined, because the value of b is 0. This means that the hyperbola has a horizontal orientation, and its vertices are on the y-axis.

To find the equation of the hyperbola, we need to rewrite the equation in a different form. We can do this by using the fact that the distance between the center of the hyperbola and a point on the hyperbola is given by:

√ ((x-h)^2 + (y-k)^2) = a*√ (1 + (y-k)^2/b^2)

Substituting in the values for h, k, and a, we get:

√ ((x-3)^2 + (y-4)^2) = 3*√ (1 + (y-4)^2/0^2)

This equation can be simplified to:

√ ((x-3)^2 + (y-4)^2) = 3*√((y-4)^2/0^2)

The value of b is still 0, so the equation for the hyperbola is:

(x-3)^2 = 9*(y-4)^2

This is the equation for a horizontal hyperbola with vertices (3,4) and (9,4) and asymptotes y = 1/3x + 3 and y = -1/3x + 5.

A hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces which is known as connected components, that are mirror images of each other and resemble two infinite bows.

Therefore, the correct answer is as given above

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Answer:

0.65 pens

2.25 rubber

Step-by-step explanation

You can make two equations with the information given and solve them simultaneously to find x and y. Assume x is pens and y is rubber.

The value of down payment will be;

⇒ $705

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Monique buys a $4700 air conditioning system using an installment plan that requires 15% down.

Now,

Since, Monique buys a $4700 air conditioning system using an installment plan that requires 15% down.

Hence, The value of down payment = 15% of $4700

                                                        = 15/100 × 4700

                                                        = 15 × 47

                                                        = 705

Thus, The value of down payment = $705

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The best estimate of the solution to the system of linear equations is the point are (x,y) will be (0.76, 4.30).

A linear equation in two variables is one that is written in the form axe + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Given:

as x,y are variables,

-3x + y = 2 ..............(1)

- 4x + 7y = 1 ...........(2)

We know that,

The solution of the system of linear equations is the intersection point of both graphs

Multiply equation (1) by 7 on both sides and then subtract it from eq (2)

- 4x + 7y = 1 ...........(2)

-21x + 7y = 14 ..............(1)

⇒- 17 x = -13

⇒ 17 x = 13

⇒ x =[tex]\frac{13}{17}[/tex]

⇒ x = 0.76

Now on putting value of x  = 0.76 in eq (1) we get

- 3x + y = 2 ............ (1)

⇒- 3(0.76) + y = 2

⇒y = 4.30

The best estimate of the solution to the system of linear equations is the point (x,y) will be (0.76, 4.30).

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We can fill in the remaining fractions and percentages.
as
0             1/4            2/4           3/4              1
|--------------|--------------|--------------|--------------|
0%          25%         50%           75%       100%

What is a number line?

A number line is a straight line that is used to represent real numbers. The numbers are usually represented as points on the line, and the distance between the points corresponds to the magnitude of the numbers. The numbers can be positive or negative and are typically marked at regular intervals.

The missing parts are

0             1/4            2/4           3/4              1
|--------------|--------------|--------------|--------------|
0%          25%         50%           75%       100%

This is how we can fill in the remaining fractions and percentages.

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(a) The logistic regression model in this case is

log(p/(1-p)) = beta0 + beta1X1 + beta2X2 + beta3×X3

where p is the probability of Y-1 (i.e. getting a flu shot), X1 is the customer's age, X2 is the health awareness index, X3 is the gender (1 for men, 0 for women), and beta0, beta1 , beta2 , and beta3 are the estimated coefficients.

(b) From the output, the predictors that have the most influence on the response are X1, X2, and X3. You can confirm this by looking at the p-value of the Wald chi-square test for each predictor. A predictor is considered significant if the p-value is less than 0.05. In this case, the p-values ​​for all three predictors are less than 0.05, indicating that they are all significant.

(c) AIC (Akaike Information Criterion) or SC (Schwarz Criterion) values ​​can be used to determine if the overall model is significant. A lower AIC or SC value indicates a better fit of the model to the data. In this case, both the AIC and SC values ​​are lower for the model with all three predictors (136.941 and 134.941, respectively) compared to the intercept-only model (140.010 and 136.941, respectively). This is significant because the model fits all three predictors better.

(d) These values ​​can be incorporated into a logistic regression model to estimate the probability of Y-1 (getting a flu shot) with X1=60, X2=30, X3=1 (men) .

log(p/(1-p)) = beta0 + beta160 + beta230 + beta3*1

Solving for p gives:

p = 1/(1+exp(-log(p/(1-p))))

You can estimate p using the maximum likelihood estimates of beta0, beta1, beta2, and beta3 provided in the output.

(e) To determine the Y-1 odds ratio for men and women, you can compare the Y-1 odds for men (X3=1) and the Y-1 odds for women (X3=0). Men's Y-1 odds are as follows:

Odds (Y-1 for men) = p/(1-p)

where p is the Y-1 probability of her being male and can be estimated using a logistic regression model and maximum likelihood estimation of the coefficients. Women's Y-1 odds can be calculated in the same way using X3=0.

To create a 95% confidence interval for the odds ratio, use the standard error of the coefficient to calculate the standard error of the log odds ratio. A 95% confidence interval can be calculated as follows:

Odds ratio +/- 1.96×standard error

(f) To test whether the model containing only the intercept is significantly different from the model containing all three predictors, a likelihood ratio test can be used. The null hypothesis is that the model with only the intercept is not significantly different from the model with all three predictors. The alternative hypothesis is that the model with only the intercept is significantly different from the model with all three predictors. The test statistic is computed as

-2×(log probability

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Answer:

The sequence is not arithmetic. In an arithmetic sequence, the difference between consecutive terms is constant. However, in this sequence, the difference between the terms is not constant. For example, the difference between the first and second terms is 1^5 - 2^5 = -3, while the difference between the second and third terms is 2^5 - 3^5 = -6. Since the difference between consecutive terms is not constant, this sequence is not arithmetic. Therefore, the common difference is NONE.

Answer:

No, the sequence is not arithmetic.

d = NONE

Step-by-step explanation:

An Arithmetic Sequence has a common difference between each term (the difference between each term is the same).

Given sequence:

[tex]1^5, 2^5, 3^5, 4^5, 5^5, ... = 1, 32, 243, 1024, 3125, ...[/tex]

Calculate the difference between each term:

[tex]1 \underset{+31}{\longrightarrow} 32 \underset{+211}{\longrightarrow} 243 \underset{+781}{\longrightarrow} 1024 \underset{+2101}{\longrightarrow} 3125[/tex]

As the difference between each term is not constant, the sequence is not an arithmetic sequence.

Therefore, the common difference, d = NONE.

Answer:

Step-by-step explanation:

domain 800 and range 16