(17-12)+4×7 =?

please xplain how you got the answer

Answer:

Step-by-step explanation: that should help

Answer:

Step-by-step explanation:

To find the least cost allocation of tasks between four people, we need to determine the assignment that results in the minimum total cost. From the given information, we can allocate tasks by assigning a number to each person for each task.

Let's denote the people as A, B, C, and D, and the tasks as 1, 2, 3, and 4. The costs for each assignment are given in the table below:

Task 1 Task 2 Task 3 Task 4

Person A 4 3 5 2

Person B 2 4 3 1

Person C 3 1 2 5

Person D 1 2 4 3

To find the least cost allocation, we need to select one task for each person such that the sum of the costs is minimized.

Based on the table, the least cost allocation would be as follows:

Person A - Task 2 (cost: 3)

Person B - Task 4 (cost: 1)

Person C - Task 3 (cost: 2)

Person D - Task 1 (cost: 1)

The total cost for this allocation is 3 + 1 + 2 + 1 = 7.

Therefore, the least cost allocation of tasks between the four people would be:

a. Person A - Task 2

b. Person B - Task 4

c. Person C - Task 3

d. Person D - Task 1

Learn more about optimization and allocation problems in mathematics here:

https://brainly.com/question/32199704

#SPJ11

The largest number of participants at the concert was 4.

To determine the largest number of participants at the concert, we need to find the least common multiple (LCM) of 1050, 1575, and 3150. The LCM is the smallest positive integer that is a multiple of all three numbers.

The prime factorization of 1050 is 2 * 3 * 5 * 5 * 7.

The prime factorization of 1575 is 3 * 5 * 5 * 11.

The prime factorization of 3150 is 2 * 3 * 5 * 5 * 7 * 11.

The LCM of 1050, 1575, and 3150 is therefore 2 * 3 * 5 * 5 * 7 * 11 = 31500.

Since each participant received one of each item, the largest number of participants at the concert was

31500 / (1050 + 1575 + 3150) = 31500 / 7775 = 4.

Therefore, the largest number of participants at the concert was 4.

To learn more about the LCM, visit:

brainly.com/question/20739723

#SPJ4

Answer: all you have to do is times length times width

which is 1 1/2x4 1/2 and then make it a decimal

Answer:o understand the behaviour of a polynomial graphically all one one needs is the degree (order) and leading coefficient. This two components predict what polynomial does graphically as gets larger or smaller indefinitely. This called "end behavior". For example it easy to predict what a polynomial with even degree and +ve leading coefficient will do. All even polynomial have both ends of the graph moving in the same direction with direction dictated by the sign of leading coefficient. On the other hand odd power will get have the polynomial end points moving in opposite direction, with the leading coefficient dictating the direction.

Step-by-step explanation:To understand the behaviour of a polynomial graphically all one one needs is the degree (order) and leading coefficient. This two components predict what polynomial does graphically as gets larger or smaller indefinitely. This called "end behavior". For example it easy to predict what a polynomial with even degree and +ve leading coefficient will do. All even polynomial have both ends of the graph moving in the same direction with direction dictated by the sign of leading coefficient. On the other hand odd power will get have the polynomial end points moving in opposite direction, with the leading coefficient dictating the direction.

Step-by-step explanation:

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

Answer:

It’s (-2,0) and (0,2)

Step-by-step explanation:

The required interval where a local maximum and a local minimum lie is (-2, 0) and (0,2).

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
For a function, the local minimum is defined as at a point the left and right-hand limit should be greater than of the point, while for a local maximum the left and right-hand limit should be lower.
So, while observing the table,
The graph between the interval (-2,0) is increasing, and decreasing so between this interval a local maximum is located,
while between the interval (0,2) graph of the function is decreasing than increasing, so a local minimum is located between the interval.

Thus, the required interval where a local maximum and a local minimum lie is (-2, 0) and (0,2).

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Answer:

See steps below

Step-by-step explanation:

We need to work with each side of the equation at a time:

Left hand side:

Write all factors using the basic trig functions "sin" and "cos" exclusively:

\(tan^2(x)\,cos^2(x)=\frac{sin^2(x)}{cos^2(x)} cos^2(x)=sin^2(x)\)

now, let's work on the right side, having in mind the following identities:

a)  \(sec^2(x)-1=tan^2(x)=\frac{sin^2(x)}{cos^2(x)}\)

b) \(1-sin^4(x) =(1-sin^2(x))\,(1+sin^2(x))\)

c) \(1-sin^2(x)=cos^2(x)\)

Then replacing we get:

\(\frac{(sec^2(x)-1)\,(1-sin^4(x))}{1+sin^2(x)} =\frac{sin^2(x)(1+sin^2(x))(1-sin^2(x))}{cos^2(x)(1+sin^2(x)))} =\frac{sin^2(x)(1+sin^2(x))\,cos^2(x)}{cos^2(x)(1+sin^2(x)))}=sin^2(x)\)

Therefore, we have proved that the two expressions are equal.

Answer:

1 1/3 - 5/6 = 1/2

Step-by-step explanation:

First we will need to make a common denominator on both sides, so since we have the second side divided in six, we can do the same to the first side as shown;

1/3 = 2/6

now this will help us a lot, now all we have to do is take what we can out of the fraction (2/6) out of the first side so it is equal to 0, NOTE this is not a professional way to do it but it helps me a lot;

5/6 - 2/6 = 3/6

this makes it easy all of a sudden, cause now its in a simpler form, we can tell this because we know that 3/6 is equal to 1/2, so now all we have to do is take 1/2 from our 1 that we are left over with, and VWOLA;

1 - 1/2 = 1/2

GRAND TOTAL;

1 1/3 - 5/6 = 1/2

(note: the space between the 1 and the 1/3 indicates that they are two separate numbers, so you dont have to put the 'and' there)

We can use the fact that the matrix A is diagonalizable. Therefore, the matrix A is:

A = [-35 -30]

[-70 -10]

Given:

Eigenvalues: λ1 = -5, λ2 = -1

Corresponding eigenvectors: v1 = [-1 -3], v2 = [-2 -7]

To form the matrix A, we need to use the formula A = VDV^(-1), where D is the diagonal matrix of eigenvalues and V is the matrix of eigenvectors.

First, we arrange the eigenvalues in ascending order on the diagonal of D:

D = [-5 0]

[0 -1]

Next, we form the matrix of eigenvectors V by arranging the corresponding eigenvectors as columns:

V = [-1 -2]

[-3 -7]

To calculate A, we use the formula A = VDV^(-1):

A = VDV^(-1)

To find V^(-1), we calculate the inverse of V:

V^(-1) = (1 / (ad - bc)) * [d -b]

[-c a]

where a, b, c, and d are the elements of V.

In this case, we have:

V^(-1) = (1 / (-1*(-7) - (-3)*(-2))) * [-7 2]

[3 -1]

= (1 / (7 - 6)) * [-7 2]

[3 -1]

= (1 / 1) * [-7 2]

[3 -1]

= [-7 2]

[3 -1]

Multiplying V, D, and V^(-1), we obtain A:

A = VDV^(-1)

= [-1 -2] * [-5 0] * [-7 2]

[3 -1]

= [-1 -2] * [-5* (-7) + 03 -52 + 0*(-1)]

[-53 + 0(-7) -5*(-1) + 0*2]

= [-1 -2] * [35 0]

[15 -5]

= [(-1)*35 + (-2)*15 (-1)0 + (-2)(-5)]

[(-2)*35 + (-2)*15 (-2)0 + (-2)(-5)]

= [-35 -30]

[-70 -10]

Therefore, the matrix A is:

A = [-35 -30]

[-70 -10]

To learn more about matrix click here, brainly.com/question/29132693

#SPJ11

the probability of completing a 5,000-mile trip without replacing the battery can be calculated as follows: P(X ≥ 5,000) = 1 - \(e^{(-1/10,000 * 5,000) }\)

the probability of completing a 5,000-mile trip without replacing the battery can be calculated using the exponential cumulative distribution function (CDF).

The CDF of an exponential distribution with average value λ is given by P(X ≤ x) = 1 - e^(-λx), where X is the random variable representing the number of miles before battery wear-out.

In this case, λ = 1/10,000 (since the average value is 10,000 miles), and we want to find P(X ≥ 5,000), which is equal to 1 - P(X < 5,000).

Substituting the values into the formula, we have P(X ≥ 5,000) = 1 -\(e^{(-1/10,000 * 5,000) }\)

When the distribution is not exponential, the probability calculation may differ depending on the specific distribution used. Different distributions have different probability density functions (PDFs) and cumulative distribution functions (CDFs), which need to be employed for calculating probabilities. It is essential to know the specific distribution to accurately determine the probability of completing a trip without replacing the battery in such cases.

learn more about cumulative distribution function here:

https://brainly.com/question/30402457

#SPJ11

The value of the number expression 42 divided by (15-2 to the 3rd power) or  42 ÷ (15 - 2³) is 6.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

42 divided by (15-2 to the 3rd power)

Mathematically,

= 42 ÷ (15 - 2³)

After applying the properties of integer exponent:

= 42 ÷ (15 - 8)

Because 2³ = 8

= 42 ÷ 7

After dividing

= 6

Thus, the value of the number expression 42 divided by (15-2 to the 3rd power) or  42 ÷ (15 - 2³) is 6.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ2

The ladder measures about 40 m in length.

To solve this problem, we can use trigonometric functions to relate the given angle of elevation and the distance between the base of the ladder and the building.

Let's L be the length of the ladder. According to the problem, the base of the ladder is 25 meters due west of the building. We can draw a right triangle where the ladder represents the hypotenuse, the vertical side represents the height of the building, and the horizontal side represents the distance between the base of the ladder and the building.

In this case, the angle of elevation is 51 degrees, and the opposite side is the height of the building, while the hypotenuse is the length of the ladder.

By applying trigonometry, we have:

cos(angle) = adjacent / hypotenuse

cos(51°) = 25 / L

To solve for L, we rearrange the equation:

L = 25 / cos(51°)

Now, we can substitute the values and calculate the length of the ladder:

L = 25 / cos(51°)

=40.26 meters

rounded to the nearest meter

= 40 m

Therefore, the ladder measures about 40 m in length.

Learn more about Trigonometric function here

https://brainly.com/question/15768633

#SPJ4

The points does he need to score in the last game to have an average of 25 PPG is 33 points

Given that

To find

So, according to the question

We have,

        ∵ \(average = \frac{sum\;of\;terms}{number\;of\;terms}\)

        ∴ Total points gained by Larry in 4 games

                         = (average points in 4 games) × 4

                         =  23 × 4

                         =  92 points.

Let's assume Larry scored x points in the 5th match to have an average of 25 PPG.

So, we can say that

        Larry's average in 5 games = \(\frac{total\;points\; in\; 5\;games}{5}\)

                                                 25 = \(\frac{92+x}{5}\)

                                           25 × 5 = 92 + x

                                                125 = 92 + x

                                                    x = 125 - 92

                                                    x = 33.

To learn more about Average or Mean, please click on the link:-

https://brainly.com/question/24057012

#SPJ9

Multiply 5 by 25 to find the total points Larry needs to score in 5 games, 5 × 25 = 125. Then find the total points Larry scored in the frist 4 games, 4 × 23 = 92. Subtract to find the number of points Larry needs to score

took the quiz

The only solution to the equation a*t*y = 0 is y = 0.

To show that the only solution to the equation a*t*y = 0 is y = 0, we can use the fact that if ax = b always has at least one solution, it means that a is non-zero. In the equation a*t*y = 0, we have a*t as the coefficient. Since a is non-zero, we know that a*t cannot be zero.

To satisfy the equation a*t*y = 0, the only possibility is for y to be zero. If y is non-zero, then a*t*y would also be non-zero, contradicting the equation. Therefore, the only solution that satisfies the equation is y = 0.

In summary, because the equation a*t*y = 0 has a non-zero coefficient (a*t), the only solution that makes the equation true is y = 0.

To learn more about equation  click here

brainly.com/question/29657983

#SPJ11

The two step equations are used to represent the equations and solve real life problems .

What is Two Step Equations ?

The Equations that can be solved in exactly two steps are called as Two Step Equations .

We can use the two-step equations to represent and solve real-world problems by translating the problem into an algebraic equation, and solving equation, and then interpreting the solution of equation.

An example of the two step equation is : If a rental car costs $40 plus extra 10 cents for every mile driven, then how many miles can be driven for $50 ?

Translating The problem into equation we get  \(40 + 0.1m = 50\) where m is  number of miles driven.

Step(i) we Subtract 20 from both sides

we get , \(0.1m = 10\).

Step(ii) We Divide both sides by 0.1 ;

we get , \(m = 100\).

Therefore , the problem to find the number of miles is solved in exactly two steps .

The given question is incomplete , the complete question is

What is the two step equation used for ?

Learn more about Two Step Equations here

https://brainly.com/question/26119747

#SPJ4

If the value of y = 0, then it make the straight line on the graph.

The term graph in math is defined as the way that is used to represent a set of data to make it easier to understand and interpret statistical information.

Here we have the expression y = 0.

And here we know that the y coordinate is constant which is 0 for given equation and only x coordinate is variable.

Therefore it represent the x-axis.

Therefore, basically y=0 is the linear equation to denote the x - axis, here as all the points on the x- axis, then we have their y co-ordinate = 0.

To know more about Graph here,

https://brainly.com/question/17267403

#SPJ4

Answer:

Inorder to write a division expression for fraction sasha should divide the numerator (9) by the denominator (14)

Step-by-step explanation:

9√14 which will result 0.643

Sasha could write, 9, the numerator, over 12, the denominator

Hope this helps.

Brainliest please

Answer:

1/3

Step-by-step explanation:

because there's six letters and out of those letters there 2 t's so it's 2/6 but if you were to simplify it, it would be 1/3

Answer:

B: -1/4

Step-by-step explanation:

The maximum height of the fireworks using the equation h=-4.6t^2+27.6t+33.6 is 75 meters.

Identifying the coefficients a, b, and c from the given quadratic equation.
a = -4.6, b = 27.6, and c = 33.6

Calculating the t-value of the vertex using the formula t = -b / (2 × a)
t = -27.6 / (2 × (-4.6)) = 27.6 / 9.2 = 3

Now, plugging in the t-value back into the equation to find the maximum height.
h = -4.6(3)^2 + 27.6(3) + 33.6

  = -4.6(9) + 82.8 + 33.6

  = -41.4 + 82.8 + 33.6

  = 75

The maximum height of the fireworks is 75 meters.

To learn more about height: https://brainly.com/question/12446886

#SPJ11

Answer:I=4+2y

Step-by-step explanation:

1. Add 2y to both sides

I-2y+2y=4+2y

2.Simplify

I=4+2y

Functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

a) L(A) = 1 - 1: This function is not a linear operator because it does not preserve scalar multiplication. Multiplying A by a scalar c would yield L(cA) = c - c, which is not equal to cL(A) = c(1 - 1) = 0.

b) L(A) = 1 + 17: Similar to the previous case, this function is not linear since it fails to preserve scalar multiplication. Multiplying A by a scalar c would result in L(cA) = c + 17, which is not equal to cL(A) = c(1 + 17) = c + 17c.

c) L(1) = C1 + AC: This function is a linear operator since it satisfies both the preservation of addition and scalar multiplication properties. Adding matrices A and B and multiplying the result by scalar c will yield L(A + B) = C(1) + AC + C(1) + BC = L(A) + L(B), and L(cA) = C(1) + cAC = cL(A).

d) L(1) = C°1: This function is a linear operator since it satisfies the properties of linearity. Addition and scalar multiplication are preserved, and L(cA) = C(0)1 = c(C(0)1) = cL(A).

e) L(1) = 1?C: This function is not a linear operator as it does not preserve scalar multiplication. Multiplying A by a scalar c would give L(cA) = 1?(cC), which is not equal to cL(A) = c(1?C).

In summary, functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

Learn more about scalar multiplication here:

https://brainly.com/question/28875206

#SPJ11

We have to model the exponential decay of the drug quantity Q.

The time t = 0 will correspond to the moment where the dose has been injected totally.

The value of Q at time t = 0, that is Q(0), then has a value:

Then, the value of Q decays exponentially. The rate is 0.4% per second.

We can start expressing the general model for Q:

where A and b are parameters of the model.

We can find A as:

Parameter A correspond to the initial value of Q(0), which is 0.2 ml.

Now, we will use the rat of change of Q to find the parameter k.

As Q decays by 0.4% per second, we can write:

Then, we can rearrange it as:

We then can express the model for Q as:

Answer: Q(t) = 0.2*(0.996)^t

The limit of the fraction as x approaches 3 is 4.

We can use algebraic manipulation to simplify the fraction.

StartFraction x squared minus 12 Over x squared minus 3 x EndFraction

= StartFraction x squared minus 12 Over x squared minus 3 x EndFraction x squared

= StartFraction x squared minus 12 x squared Over x squared times x squared minus 3 x EndFraction

= StartFraction x squared times x squared minus 12 x squared Over x squared times x squared minus 3 x EndFraction

= StartFraction x to the fourth minus 12 x squared Over x squared times x squared minus 3 x EndFraction

Now we can plug in x = 3 to get the limit:

= StartFraction 3 to the fourth minus 12 x 3 squared Over 3 squared times 3 squared minus 3 x EndFraction

= StartFraction 81 - 36 Over 27 - 9 EndFraction

= StartFraction 45 Over 18 EndFraction

= 4

Learn more about fraction here

https://brainly.com/question/10354322

#SPJ4

The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is \(\frac{x^2}{10} + \frac{y^2}{15} = 1\)

The given parameters are:

The foci of a hyperbola are represented as:

Foci = (k ± c, h)

The center is:

Center = (h,k)

And the directrix is:

Directrix, x = h ± a²/c

By comparison, we have:

k ± c = ±5

h = 0

h ± a²/c = ±2

Substitute h = 0 in h ± a²/c = ±2

0 ± a²/c = ±2

This gives

a²/c = 2

Multiply both sides by c

a² = 2c

k ± c = ±5 means that:

k ± c = 0 ± 5

By comparison, we have:

k = 0 and c = 5

Substitute c = 5 in a² = 2c

a² = 2 * 5

a² = 10

Next, we calculate b using:

b² = c² - a²

This gives

b² = 5² - 10

Evaluate

b² = 15

The hyperbola is represented as:

\(\frac{(x - k)^2}{a^2} + \frac{(y - h)^2}{b^2} = 1\)

So, we have:

\(\frac{(x - 0)^2}{10} + \frac{(y - 0)^2}{15} = 1\)

Evaluate

\(\frac{x^2}{10} + \frac{y^2}{15} = 1\)

Hence, the equation of the hyperbola is \(\frac{x^2}{10} + \frac{y^2}{15} = 1\)

Read more about hyperbola at:

https://brainly.com/question/3405939

#SPJ1

Based on the given information, the solid figure described is a pyramid.

We have,

A pyramid is a three-dimensional geometric shape that has a polygonal base and triangular faces that converge to a single point called the apex.

In the case described, the pyramid has four triangular faces, indicating that its base is a triangle.

Since a triangle has three sides, and there are four triangular faces, the pyramid has a total of 8 edges.

The triangular faces of the pyramid meet at the apex, forming a point at the top.

The base of the pyramid is a polygon, and in this case, it is a triangle.

The remaining three faces are also triangles that connect each of the edges of the base to the apex.

Therefore,

Based on the given information, the solid figure described is a pyramid.

Learn more about pyramid here:

https://brainly.com/question/17615619

#SPJ1

The event the student could run a mile in less than 8.27 minutes in terms of the value of the random variable y. The Probability of Y< 6 of 6.68%.

Random Variable:

A random variable is a variable whose value is unknown or a function that assigns a value to each outcome of an experiment. Random variables are often denoted by letters and can be classified as either discrete (variables that have a specific value) or continuous (variables that can take any value in a continuous range).

In probability theory and statistics, random variables can have many values ​​because they are used to quantify the outcome of random events. Random variables must be measurable and are usually real numbers. For example, the letter X can represent the sum of the numbers after rolling three dice. In this case, X can be 3(1 + 1 + 1), 18(6 + 6 + 6), or between 3 and 18. This is because the highest number on the dice is 6 and the lowest number is 1.

Given information.  

We have mean 7.11 minutes and standard deviation 0.74 minute.

We have to find the value of z.

Now,

    z = (x - μ/ σ)z

      = (6 - 7.11/ 0.74) z

      ≈ -1.50

Now,

The probability of Y < 6

P(Y< 6) = P(Z < -1.50)

            = 0.0668

            = 6.68%

Complete Question:

Running a mile A study of 12000 able-bodied male students at the University of Illinois found that their times for the mile run were approximately Normal with mean 7.11 minutes and standard deviation 0.74 minute. 7 Choose a student at random from this group and call his time for the mile Y. Find P(Y < 6) . Interpret this value.

Learn more about Random Variable:

https://brainly.com/question/29077286

#SPJ4

The value of y for proportional relationship when x = 30 is y = 135.

Relationships among two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relation, one variable is consistently equal to the other's constant value.

A "constant of proportionality" is the name of this constant.

the importance of proportional relationship are-

Calculation the for the value of y.

According to the question,

The variables y and x have a proportional relationship.

Where, y=9 when x=2

Thus,

y/x = 9/2

Cross multiplying the above result;

2y = 9x

The value of y when x = 30.

2y = 9×30

2y = 270

 y = 135

Therefore, the value of y when x=30 is 135.

To know more about the proportional relationship, here

https://brainly.com/question/2143065

#SPJ4

Answer:

-7

Step-by-step explanation:

Expression: 7p

Value of p: p = -1

Substitute p in the expression with the value given for p, -1.

Then, multiply by 7.

7p = 7 × (-1) = -7

The required simplified value of the f + g(x) =  3x² + 5x + 2.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
f(x)=3x²-2x+6

g(x) = 7x - 4

f+g = f(x) + g(x)
      = 3x²-2x+6 + 7x - 4
      = 3x² + 5x + 2

Thus, the required simplified value of the f + g(x) =  3x² + 5x + 2.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1