Gary goes to the grocery store to buy hot dogs and hamburgers for a cookout. He buys a total of 9
packages for a total of $33.71. A package of hot dogs, d, costs $2.59 and a package of hamburgers, b,
costs $5.19.
Drag and drop numbers into the correct boxes to complete a system of equations to represent the
situation. Do not solve.

The magnitude of the resultant force is approximately 20,308 N

The direction angle is 17,392.2 N

The direction of the resultant force is approximately N3W

In this case, the two tugboat forces form a right triangle, and the hypotenuse represents the resultant force. So, we can calculate the magnitude of the resultant force as follows:

resultant force = √((15,791.1 N)² + (12,262.5 N)²)

= 20,308.3 N

Then, we can calculate the angle between the resultant force and the horizontal axis using the formula:

tan θ = (Fy / Fx)

where Fy is the vertical component of the resultant force, and Fx is the horizontal component of the resultant force. We can calculate these components as follows:

Fy = (-1250 N * sin(-55)) + (1610 N * sin(35))

= -921.6 N

Fx = (1250 N * cos(-55)) + (1610 N * cos(35))

= 17,392.2 N

Plugging these values into the formula, we get:

tan θ = (-921.6 N) / (17,392.2 N)

= -0.053

Taking the inverse tangent (tan⁻¹) of both sides, we get:

θ = tan⁻¹(-0.053)

= -2.99°

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The size of the angle marked y correct to three significant figures is 26.6°.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Given is a right angled triangle.

By the definition of trigonometric functions,

Sin y = Opposite side / Hypotenuse

sin y = 31.4 / 70.2

sin y = 0.447

y = 26.57

  = 26.6

Hence the value of y is 26.6.

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Answer:

Number of different ways of filling the position is   8961115245946500

Step-by-step explanation:

There are total of 4 positions which can be arranged in 4! Ways  

Like wise there are 12 positions. Hence the number of arrangements for these 12 positions would be 12!

Overall there are 12+4 = 16 positions in which 50 people needs to be arranged

Number of different ways of filling the position is  

50P16 /(12! *4!)

= 8961115245946500

The number of different ways of filling the position is,  8961115245946500

There are total of 4 positions can be arranged in 4! Ways  

Similarly  there are 12 positions.

Therefore, the number of arrangements for these 12 positions is  12!

If there is an arrangement of the data then we use the permutation

Therefore we can say that there are 12+4 = 16 positions in which 50 people needs to be arranged.

The number of different ways of filling the position is,

\(50P16 /(12! *4!)\)

By using the calculater you can find,

= 8961115245946500

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Answer:

2 7/8

Step-by-step explanation:

The vertices of parallelogram MNOP after a rotation of 180° are: M' (-1, -7), N' (-8, -5), O' (-4, -2), and P' (3, -4).

A counterclockwise rotation of 270° to triangle GHI would produce an image with this vertices: G' (-2, 0), H' (-6, -7), and I' (-8, -3).

In this exercise, you are required to rotate parallelogram MNOP by 180° and triangle GHI by 270° in a counterclockwise direction. In Geometry, the rotation of parallelogram MNOP 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the vertices (-x, -y):

(x, y)                           →               (-x, -y)

Point M' = (1, 7)        →    Point M' = (-(1), -(7)) = (-1, -7).

Point N' = (8, 5)       →    Point N' = (-(8), -(5)) = (-8, -5).

Point O' = (4, 2)       →    Point O' = (-(4), -(2)) = (-4, -2).

Point P' = (-3, 4)       →   Point P' = (-(-3), -(4)) = (3, -4).

In Geometry, the rotation of triangle GHI by 270° about the origin in a counterclockwise direction would produce a point that has the vertices (y, -x):

(x, y)                           →               (y, -x)

Points at G = (0, -2)   →  Points at G' = (-2, 0)

Points at H = (7, -6)   →  Points at H' = (-6, -(7)) = (-6, -7).

Points at I = (3, -8)   →  Points at I' = (-8, -(3)) = (-8, -3).

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The Perimeter of wall in inches is 4.724412 inches.

We have the Perimeter = 120 m

We know 1 m = 39.3701 inch

Then, the perimeter inches

= 39.3701 x 120

= 472.4412 inches  

and, 1 cm= 0.393701 inch

Then, perimeter

= 12 x 0.393701

= 4.724412 inches

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The determinant of the given matrix is ad - bc.

To find the determinant of a 2x2 matrix, we use the formula ad - bc, where a, b, c, and d are the elements of the matrix.

In the given matrix [a b; -c d], we have a in the top left position, b in the top right position, -c in the bottom left position, and d in the bottom right position.

Therefore, the determinant is calculated as follows: ad - bc.

The determinant of a matrix represents a scalar value that provides important information about the matrix. It can determine whether the matrix is invertible or singular, and it also plays a crucial role in solving systems of linear equations and finding eigenvalues and eigenvectors.

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Answer:

is it timed, because i need like 20 mins to answer this question.

Step-by-step explanation:

Answer:

The correct option is 4 it lies on the 4th quadrant

Answer:

625 stamps

Step-by-step explanation:

100-45-30=25%

0.25 x 2500 = 625

Answer:

Inverse of a 3 by 3 Matrix

MM-1 = M-1 M = I.

Step 1: The first step while finding the inverse matrix is to check whether the given matrix is invertible. ...

Step 2: Calculate the determinant of 2 × 2 minor matrices.

Step 3: Formulate the cofactor matrix.

Step-by-step explanation:

The inverse matrix formula, A-¹ = (1/|A|) Adj A, is used to determine the inverse of a 3×3 matrix.

The multiplicative identity is obtained by multiplying the provided matrix by the other matrix which serves as the inverse of a matrix. A matrix's inverse is A-1, since the I is the identity matrix, A A-1 = A-1 A = I.

The formula A-1 = (adj A)/(det A), where det A is in the denominator, is used to determine the inverse of a 3x3 matrix A. 

• adj A = The adjoint matrix of A

• det A = determinant of A

dAs a result, det A should not be 0 for A-1 to exist. i.e.,

• A-1 exists when det A ≠ 0 (i.e., when A is nonsingular)

• A-1 does not exist when det A = 0 (i.e., when A is singular).

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Answer:

v = 2034.72 mm³

Step-by-step explanation:

radius = 18mm

height = 6mm

pi = 3.14

v = πr²h/3

v = 3.14 * (18mm)² x 6mm/3

v = 3.14 * 324mm²  x 2mm

v = 2034.72 mm³

Answer:

because a line tends to an infinite point and if the line is divided into two, you will not have equal parts

Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.

An algorithm in math is a procedure, a description of a set of steps that can be used to solve a mathematical computation.

Now,

Hence, Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.

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Step-by-step explanation:

10²+11²

=100+121

=221

=√221

=14.87

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

Graph attached

Step-by-step explanation:

27x - 15y = 1350

15y = 27x -1350

y = 27/15 x - 1350/15

y = 9/5 x - 90

y = mx + b     y intercept (b) = -90

y=0  x = 90 * 5/9 = 50   x intercept

The x - intercept of the graph of the 27 = -3x is the point (-9, 0)

"It is a statement which consists of an equal symbol between two mathematical expressions."

for given example,

we have been given an equation 27 = -3x

We need to find the x - intercept of the graph of the 27 = -3x

We solve above equation for x.

The solution of above equation (value of x) represents the x - intercept.

⇒ 27 = -3x

⇒ x = 27/(-3)

⇒ x = -9

Therefore, the x - intercept of the graph of the 27 = -3x is the point (-9, 0)

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Answer:

the slope of these points is 8/3

Check the picture below.

to graph a LINEar equation, since it's just a line and for a line all you need is two points and draw away, simply pick two random "x" values to get the "y" values and plot those two points.

for y = -x + 2

if we choose x = 0, then y = -0 + 2 => y =  2, that gives us the point (0 , 2)

if we choose x = 2, then y = -2 + 2 => y = 0, that gives us the point (2 , 0)

graph it and we get the blue line.

for the 2nd equation

\(y = \cfrac{2}{3}x-1\hspace{5em}\underline{x=3}~\hfill y=\cfrac{2}{3}(3)-1\implies y=2-1\implies y=1 \\\\\\ ~\hfill \boxed{(3~~,~~1)} \\\\\\ ~\hspace{9.5em}\underline{x=0}~\hfill y=\cfrac{2}{3}(0)-1\implies y=-1 \\\\\\ ~\hfill \boxed{(0~~,~~-1)}\)

graph it and we get the red line

notice, those points are in those lines, and to graph a LINE, all you need is two points.

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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Answer:

Simplify the expression.

4x^3+x^2+10

Step-by-step explanation:

Total Productive Maintenance (TPM) practices ensure D. equipment downtime is maximized

According to TPM, operators are in charge of sanitizing, enhancing, and maintaining their workstations to guarantee quality and safety throughout production cycles. The objective of TPM is to maintain equipment in top working order to ensure that production processes go without hiccups or delays.

Through the optimization of equipment availability and performance, TPM seeks to increase overall productivity and quality. The 5S methodology, a method of workforce organization that aids in streamlining and standardizing facility procedures, is the foundation on which TPM is based.

Therefore, the correct option is D.

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yeah that's right and the square root from 1 to 15

1,4,9,16,25,36,49,64,81,100,121,144,169,196,225

Answer:

90

Step-by-step explanation:

180 divided by 2 is 90

Answer:

0.63 ÷ 0.3 = 63 x 10^-2 ÷ 3 x 10^-1 = 63 / 3  x 10^(-2--1) = 21 x 10^-1 = 2.1

Answer:

2.1.

Step-by-step explanation:

63/3 = 21

0.63 = 63 / 100

and 0.3 = 3 / 10

so 0.63/0.3 = 63 /100 / 3/10 = 63/100 * 10/3

= 63/3 / 10

So the answer is 21 / 10 = 2.1.

Answer:

it is

Step-by-step explanation:

Answer:

6.8 ounces

To set up a hypothesis test for this production process, we need to define the null and alternative hypotheses. The null hypothesis (H0) is that the average amount of soda in each can is equal to 6.8 ounces, while the alternative hypothesis (Ha) is that the average amount of soda in each can is not equal to 6.8 ounces.

We can then collect data by taking regular random samples from the production process and calculate the sample mean and standard deviation. We can then perform a statistical test such as a t-test or z-test to determine whether we can reject or fail to reject the null hypothesis.

If we reject the null hypothesis, we can conclude that there is evidence that the average amount of soda in each can is different from 6.8 ounces. If we fail to reject the null hypothesis, we cannot conclude that there is evidence that the average amount of soda in each can is different from 6.8 ounces.

I hope this helps! Let me know if you have any other questions.

Answer:

\(y=-4x^{2} +7x+6\\\)

Step-by-step explanation:

\(y=ax^{2} +bx+c\\\)

Points are (1,9), (2,4), and (4,-30).

\(\\9=a+b+c\\4=4a+2b+c\\-30=16a+4b+c\\\)

Subtract the first from the second.

-5 = 3a+b

Subtract 4 times the second from the third.

-34=12a+2b

-14=-2b

b=7

a=-4

c=6

Finn walked a total of 40m south and 60m west, so we can make a right angle triangle with sides 40m and 60m and the hypotenuse being unknown.

40 + 60 = 100, so Finn walked 100m.

We can find the hypotenuse, or how far Molly walked by using the Pythagorean Theorem:

\(a^2+b^2=c^2\), with c being the hypotenuse and a and b being the other sides.

\(40^2 + 60^2 = c^2\\1600 + 3600 = c^2\\c = 72.1110255m\)

Now we're finding how much further Finn walked, so:

100 - 72.1110255 = 27.8889745

Rounded to one decimal point is 27.9m