A master baker can fill a big order in 6 hours. A student baker can fill the same order in 8 hours. They start working together, and after 2 hours, the student leaves and the master baker finishes the work alone. How long will it take him to finish the order?

Answer:

p = 6 , q = 43

Step-by-step explanation:

x² + 12x - 7

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

=x² + 2(6)x + 36 - 36 - 7

= (x + 6)² - 43 ← in the form (x + p)² - q

with p = 6 and q = 43

The perimeter of a triangle is: 12cm.

The area of triangle is: \(6 cm^2\\\)

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.

Therefore, this triangle is sometimes called the right triangle or 90-degree triangle.

The characteristics a right-angle triangle possesses.

Let x be the one side of the triangle.

Then the other side will be x + 1 cm.

Hypotenuse is 5 cm.

Using right angled triangle property and (a + b)²=a²+b²+2ab

\(x^2 + (x+1)^2 = 5^2\\\implies x^2 + x^2 + 2x + 1 = 25\\\implies 2x^2 + 2x = 24\\\implies 2x^2 + 2x -24 = 0\\\implies x^2 + x -12 = 0\\\)

Solving this equation:

x = -4 or x = 3

since the length of triangle can't be negative therefor x = 3.

which means sides are 3, 4 and 5

Perimeter = sum of all three side

Therefore, Perimeter = 3 + 4 + 5 = 12cm.

Area = (height * base)/2

Therefore, Area = \(3*4/2 = 12/2 = 6 cm^2\)

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Answer: 0.40 and 40%

Answer:

40%

Step-by-step explanation:

Answer:

Is x = - 70

Step-by-step explanation:

If its wrong tell me

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

Owen went to Best Buy to purchase a new laptop. He put a down payment of $200 and will pay $75 each month until he pays it off. Use the

formula p= 200 + 75c to identify which statement below is false.

The ‘p’ is represented as the dependent variable [true]

The ‘c’ represents the number of months [true]

The independent variable is 75 [FALSE]

The ‘c’ is represented as the independent variable [true]

The average rate of change of a function f(x) over the interval [a, b] is given by the formula:

average rate of change = (f(b) - f(a)) / (b - a)

In this case, the function is f(x) = 2x^3 - x and the interval is [4, 6]. So we have:

f(4) = 2(4)^3 - 4 = 124

f(6) = 2(6)^3 - 6 = 330

Therefore, the average rate of change of f(x) over [4, 6] is:

(330 - 124) / (6 - 4) = 103

So the average rate of change of the function f(x) over the interval [4, 6] is 103.

Answer:

151

Step-by-step explanation:

Average Rate of Change Formula

\(\frac{f(b)-f(a)}{b-a}\\\frac{f(6)-f(4)}{6-4} \\\frac{((2*6^3)-6)-((2*4^3)-4)}{2} \\\frac{(432-6)-(128-4)}{2} \\\frac{426-124}{2}\\\\ \frac{302}{2} = 151\)

If you have trouble remembering the rate of change formula, it's the same as the slope formula.

\(f(b) = y_2\\f(a) = y_1\\b = x_2\\b = x_1\\slope = \frac{y_2-y_1}{x_2-x_1} \\\)

Similarly to the slope formula, it doesn't matter which point you set up to be the second coordinate, as long as it is consistent across the numerator and denominator.

The surface area of the composite figure is 2005 in².

To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.

Let's break down the figure into its different parts and calculate the surface area step by step:

Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²

Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²

Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:

Surface Area of Rectangle = lw

Plugging in the values, we have:

Surface Area of Rectangle = (11)(5) = 55 in²

Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:

Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle

Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²

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Answer:

A

Step-by-step explanation:

The volume of prism is b*h, base area is (2.5)*(3.24*(1.1)=8.91. Hence volume is 8.91*6.17=54.97

Answer:

\(P(Negative | Yes) = 0.0486\)

Step-by-step explanation:

Given

\(\begin{array}{ccc}{} & {Yes} & {No} & {Positive} & {137} & {24} & {Negative} & {7} & {132} \ \end{array}\)

Required

\(P(Negative | Yes)\)

This is calculated as:

\(P(Negative | Yes) = \frac{n(Negative\ n\ Yes)}{n(Yes)}\)

So, we have:

\(P(Negative | Yes) = \frac{7}{137+7}\)

\(P(Negative | Yes) = \frac{7}{144}\)

\(P(Negative | Yes) = 0.0486\)

Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

Answer E

Step-by-step explanation: The first number is 835 as this is how much you have in the bank to begin with. Work out 2% of 835.

(f+g)(x)= 2x +1

1) In this case, we have an operation of functions. The function algebra then we can write out:

f(x) = x +5

g(x) = x-4

(f+g)(x)= x+5 +x-4 Combine like terms

(f+g)(x)= 2x +1

2) Hence, the answer is (f+g)(x)= 2x +1

Answer:

The answer is 6.451 or 6.5 rounded

Step-by-step explanation:

The way to solve this is to find all the degrees inside the triangle first

you have two given degrees which are 21 and 90 degrees

add those numbers up and subtract it from 180. That is the last corner degree

you then use that information to find all the side lengths using the given hypotenuse length.

Btw its geometry not really trig.

Answer: 6.45 units

Step-by-step explanation:

    To solve for x, we will set up an equation using the trigonometric functions. We are given an angle (21 degrees), the opposite side of that angle (x), and the hypotenuse (18). For this, we will use the sine function.

sin(21) = \(\frac{opposite}{hypotenuse }\)

sin(21) = \(\frac{x}{18}\)

18sin(21) = x

x = 18sin(21)

x = 6.4506230 ≈ 6.45 units

Answer:

17

Step-by-step explanation:

The value of x from the angles between given parallel line is 17.

Consecutive angles lie along the transversal, both angles will always be on one side of the transversal, and they'll either both be inside the parallel lines or outside the parallel lines (interior or exterior angles, respectively). Consecutive angles are always supplementary if the transversal crosses parallel lines.

From the given figure, we have two angles 2x+5 and 8x+5.

As we know, sum of consecutive angles is 180°

Now, 2x+5+8x+5=180

10x+10=180

10x=170

x=17

So, 2x+5=39° and 8x+5=141°

Therefore, the value of x from the angles between given parallel line is 17.

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The Length and Width = 11 feet with minimum perimeter = 22 feet

What exactly is a math area?

The amount of space occupied by a flat (2-D) surface or an object's shape is known as its area. Draw a square on a piece of paper using a pencil. A 2-D figure, that is. The term "Area" refers to the area that a shape occupies on paper. Now picture that your square is composed of smaller unit squares.

Given that:

A=s^2 = 121, where s is a square side.

s=sqr121 = 11

length=width = 11

perimeter =4s=4(11)=22

A=LW

121=LW

L=121/W

utilizing calculus,

Perimeter = P = 2L+2W  = 2(121/W) + 2W = 242/W + 2W

Set the derivative equal to zero before determining W.

P'(W) = 2 -242/W^2 = 0

2W^2 =242

W^2 = 121

W =sqr121 = 11 = width of the rectangle that minimizes perimeter

L= 121/sqr121 = sqr121 = 11 = length of the rectangle that minimizes perimeter

L=W means a square with 4 sides each = 11

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Answer:

437.90

Step-by-step explanation:

you add the negative numbers together, then the positive numbers. you take the answers from those and subtract them from each other.

The overall loss for the first four months the deli was open is $-437.90.

A firm has a profit when its income is greater than the cost. A loss is recorded when income is less than the total costs. A profit is represented with a positive sign (+) and a loss is represented with a negative sign (-).

In order to determine the overall profit or loss for the first four months add profits and subtract losses.

+ 724.37 + 3,912.26  - 1,051.51 - 4,023.02 = $-437.90.

Costs exceeds revenue so the Deli earns a loss of $437.90.

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Answer:

3

Step-by-step explanation:

y-intercept is 3,where x=0

Answer:

(0,3)

Step-by-step explanation:

The graph intersects the y-axis at (0,3). A y-intercept is where line crosses the y-axis.

:)

Answer 3.04 x 10^-2

I hope that helps!

Answer:

An answer is a thing said, written, or done to deal with or as a reaction to a question, statement, or situation.

Answer: 76 degrees and 14 degrees

Step-by-step explanation:

Complimentary angles add up to 90 degrees. Let x represent the complementary angle.

x+x-62=90

2x-62=90

2x-62+62=90+62

2x=152

2x/2=152/2

x=76

76-62=14

Answer:

Let u represent the lesser angle

u+u-62= 90

2u-62 = 90

2u = 90-62

2u = 28

Divide both sides by 2

u =14 degrees

Then the other angle = 90-14

=> 76 degrees

Answer:

just start scamming

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

2 sides if 20in. , the middle one is the same for both, and both have 22° angles

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Answer:

AB=6.8

Step-by-step explanation:

the pic. I am so sorry if you can't read it

Answer:

6 + 7 = 13

13 - 7 = 6

13 - 6 = 7

7 + 6 = 13

Step-by-step explanation:

Answer:

what your question tell me I will give you answer and also write down your name and question