A manufacturing company currently uses 15 workers to load and unload trucks. Each worker can move an average of 15 boxes per minute. A robotics firm has built a robot that can load and unload boxes at the rate of 21 boxes per minute. How many robots will it take to do the same job as the 15 humans?

Answer: it is yes

Step-by-step explanation:

When the crate folow top botom nuberto

Answer:

B

Step-by-step explanation:

3(3y-1) = 9y-3

3*3y=9y

3*1=3

combine those and you get 9y-3.

Answer:

195

Step-by-step explanation:

The polynomials completely factorized have the following expressions;

50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

For the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;

(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2

x² + 3x + 2 = (x + 1)(x + 2)

so;

x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;

(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8

x² - 2x - 8 = (x + 2)(x - 4)

so;

x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;

(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14

x² - 9x + 14 = (x - 2)(x - 7)

so;

x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

For the polynomial x³ - x² + 21x + 45 divisible by x + 5;

(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9

x² - 6x + 9 = (x - 3)(x - 3)

so;

x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.

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Answer:

Hope this helps you

Answer:

B

Step-by-step explanation:

The 95 percent confidence interval is (0.20, 0.32).

a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:

Let p = proportion of yellow peas = 155/595 = 0.26

Sample size = n = 595

Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03

95% confidence interval = p ± 1.96 × SE

= 0.26 ± 1.96 × 0.03

= 0.26 ± 0.06

So, the 95% confidence interval is (0.20, 0.32).

b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.

Therefore, the 95 percent confidence interval is (0.20, 0.32).

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x=5

steps

they are vertical angles

they are equal

4x+90=110

4x=20

x=5

Answer:

Step-by-step explanation:

9900

Answer:

I think u need to add the sum and equal to 180 reason supplement angle then that's is process

Answer:

see below

Step-by-step explanation:

10(9-1)

Distribute

10 * 9  - 10 *1

90 - 10

80

Answer: 80

Step-by-step explanation:

10(9-1) = 90 - 10 = 80

\({ \red{ \bold{option \: (d)}}} \: { \green{ \tt{ {2}^{8p} = {2}^{5p + 3}}}} \)

Step-by-step explanation:

I said option (d) is correct. Because, the answer of 2^8 is 256 i.e.,

\({ \green{ \bold{ {2}^{8} }}} = { \green{ \tt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2}}}\)

\({ \green{ \bold{ {2}^{8} }}} = { \green{ \tt{256}}}\)

The value of 16^2 = 256.

Also, the answer of 2^5 is 32. i.e.,

\({ \green{ \bold{ {2}^{5} }}} = { \green{ \tt{2 \times 2 \times 2 \times 2 \times 2}}}\)

\({ \green{ \bold{ {2}^{5} }}} = { \green{ \tt{32}}}\)

A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

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Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.

This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.

What is 22% of 46?

Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.

Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.

So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].

0.46 × 22 = 10.12

Answer: 22% of 46 is 10.12.

Hope this helped :)

In a right-angled triangle, the side facing the reference angle is the opposite side, the side facing the right angle is the hypotenuse

Since sinA= opposite/hypotenuse

opposite= a

hypotenuse = c

Thus, sinA= a/c

Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

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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Step-by-step explanation:

I ᴛʜɪɴᴋ ᴛʜɪs ǫᴜᴇsᴛɪᴏɴ ɪs ᴡʀᴏɴɢ. ᴄʜᴇᴄᴋ ʏᴏᴜʀ ǫᴜᴇsᴛɪᴏɴ ᴏɴᴄᴇ ᴘʟᴇᴀsᴇ.

Answer:36

Step-by-step explanation:

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Answer:

y = 2x + 10

Step-by-step explanation:

Hi there!

We are given the points (-7, -4) and (-6, -2) and we want to write the equation of the line that passes through these points in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope (m) of the line

The slope can be calculated from 2 points using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

We have everything we need to find the slope, but let's label the values of the points to avoid any confusion & and mistakes

\(x_1= -7\\y_1=-4\\x_2=-6\\y_2=-2\)

Substitute these values into the formula (note: remember that the formula has subtraction in it!)

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{-2--4}{-6--7}\)

Simplify

m=\(\frac{-2+4}{-6+7}\)

Add the numbers

m=\(\frac{2}{1}\)

Divide

m=2

The slope of the line is 2

We can substitute that in:

y = 2x + b

Now we need to find b

As the equation passes through both  (-7,-4) and (-6,-2), we can use either point to help solve for b

Taking (-6, -2) for example:

Substitute -6 as x and -2 as y into the equation.

-2 = 2(-6) + b

Multiply

-2 = -12 + b

Add 12 to both sides

-2 = -12 + b

+12  +12

___________

10 = b

Substitute 10 as b.

y = 2x + 10

Hope this helps!

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Option C. triangle 1 and triangle 3 are congruent.

By SAS Congruence Criterion.

Sides and Angles Are equal in both the triangles

Answer: triangle 1 and triangle 3

Step-by-step explanation:

Step-by-step explanation:

Part A:

The two factors in 9(7+2x) are 9 and 7+2x

Part B:

First term: 9

Second term: 7+2x

Part C:

9(7+2x)

Open bracket

63+18x

The coefficient is 18x

A. The two factors are 9 and (7+2x).

B. In first factor, only one term and in second factor , two terms i.e. 7 and 2x are present.

C. The coefficient of the variable term is 18.

Given expression is;

                         \(9(7+2x)\)

In given expression, there are two factors fist is 9 and second one is \((7+2x)\)

In first factor, only one term and in second factor , two terms i.e. 7 and 2x are present.

To find the coefficient of variable term, we have to to expand given expression.

             \(9(7+2x)=63+18x\)

The coefficient of the variable term is 18.

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The sum (A+B)(x) and difference (A-B)(x) of two quadratic functions A(x) and B(x) were found, along with their values for x=5, vertices, intercepts, and where they are increasing/decreasing.

To find (A+B)(x), we simply add the two functions:

(A+B)(x) = A(x) + B(x) = (\(-0.25x^2+20x\)) + (\(-0.19x^2+15.2x\)) = \(-0.44x^2\) + 35.2x

To find (A-B)(x), we simply subtract B(x) from A(x):

(A-B)(x) = A(x) - B(x) = (\(-0.25x^2+20x\)) - (\(-0.19x^2+15.2x\)) = \(-0.06x^2\) + 4.8x

When x=5, we can evaluate each expression:

(A+B)(5) = \(-0.44(5)^2\) + 35.2(5) = 60

(A-B)(5) = \(-0.06(5)^2\) + 4.8(5) = 12

To find the vertices and intercepts of the functions A(x) and B(x), we can use the vertex and intercept formulas for quadratic functions:

For A(x):

Vertex = (-b/2a, f(-b/2a)) = (-20/-0.5, A(20/-0.5)) = (40, 400)

x-intercepts: 0 = \(-0.25x^2\) + 20x, so x = 0 or x = 80

y-intercept: A(0) = 0

For B(x):

Vertex = (-b/2a, f(-b/2a)) = (-15.2/-0.38, B(15.2/-0.38)) = (40, 304)

x-intercepts: 0 = \(-0.19x^2\) + 15.2x, so x = 0 or x = 80

y-intercept: B(0) = 0

Both functions are decreasing for x < 40, and increasing for x > 40. The vertex (40, 400) is the maximum point for A(x), and the vertex (40, 304) is the maximum point for B(x).

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Answer:

7 in, 7 in, 7 in

12 in, 15 in, 25 in

2 in, 3 in, 4in

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's verify all the options.

Option A:

Option B:

Option C:

Option D:

This has to be true because this triangle is classified as an equilateral triangle, which is a triangle.

Hence, Option A, C, and D are correct.

Answer:

10.44

Step-by-step explanation:

First plot each of the points on to a graph at their respective positions.

Following that create a 90° triangle out of the points. This will create a 3 by 10 triangle. (3 to 0 is 3) (-8 to 2 is a difference of 10)

You can then use the pythagorean theorem \(a^{2} +b^{2} = c^{2}\).

Insert the lengths of each of the sides that we got earlier which would be 3 and 10 into the equation. \(3^{2} + 10^{2} = c^{2}\)

Since we want to find the hypotenuse which is equal to c we work the equation to 9+100 = \(c^{2}\) which in turn is 109 = \(c^{2}\)

Then take the square root of 109 to remove the square from the c to get c = 10.44

The amount of milk Deshaun drinks in 9 days is 2.25 L or 2250 milliliters

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of milk Deshaun drinks in 9 days = A

Let the amount of milk Deshaun drinks in a day = 0.25 L

Now , the equation will be

The amount of milk Deshaun drinks in 9 days = 9 x amount of milk Deshaun drinks in a day

Amount of milk Deshaun drinks in 9 days = 9 x 0.25

                                                                     = 2.25 L

Now , 1 Liter = 1000 milliliters

So , Amount of milk Deshaun drinks in 9 days = 2.25 L

                                                                             = 2.25 x 1000 milliliters

                                                                             = 2250 milliliters

Therefore , the value of A = 2250 milliliters

Hence ,

The amount of milk Deshaun drinks in 9 days is 2.25 L or 2250 milliliters

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Answer:

( x, y ) = ( -20, 20 )

Step-by-step explanation:

Given data

Y = y(x)

3x + 2y = 20 ---------- equation 1

2x + 3y = 20 ---------- equation 2

find (x, y )

solving equation 1 and equation 2

3x + 2y = 20 * 2 = 6x + 2y = 40 --------- EQUATION 3

2x + 3y = 20 * 3 =  6x + 3y = 60 --------- EQUATION 4

cancelling out ( x )

Add both equation 3 and equation 4

5y = 100.  hence  y = 100/5 = 20

back to equation equation 2

2x + 3(20) = 20

2x = - 40

x = -20

attached is the graph  to check the answer

Answer:

the averaged speed of the car is 70 miles per hour.

Step-by-step explanation:

The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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The length of C from A is 3.5 miles if AB=3.5 miles and BC is 6 miles .

Given The length of triangle ABC AB=3.5 miles , BC=6miles and AC=d

We have to find the value of d

First of all we have to draw a perpendicular from point A on side BC .

It forms two triangles ABE and AEC if E is the point where perpendicular stands on BC.

In triangle BEA

AE=\(\sqrt{3.5^{2} -3^{2} }\)

=\(\sqrt{12.25-9}\)

=\(\sqrt{3.25}\)

=1.8

Now in triangle AEC

AC=\(\sqrt{1.8^{2} +3^{2} }\)

=\(\sqrt{3.24+9}\)

=\(\sqrt{12.24}\)

=\(\sqrt{12.24}\)

=3.49 MILES

By rounding off to the nearest tenth we will get 3.4 miles

Hence the value of d is 3.4 miles.

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Answer:its 7.7

Step-by-step explanation: i did it on edge

Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.