use an identity to solve the equation on the interval [0,2pi) sin x cos x = -1/4 x=

Answer: B At most 45 cakes

Step-by-step explanation:

Given, 5x + 15 ≤ 240

⇒ x + 3 ≤ 48 [Dividing by 5 on both sides]

⇒ x ≤ 45 [Subtracting 3 from both sides]

that means the bakery makes less than or equal to 45 cakes. the most cakes they can make is 45. So they make at most 45 cakes a day

Answer:

y=-\(\frac{5}{3}\)x-4

Step-by-step explanation:

find the slope m = \(\frac{y2-y1}{x2-x1}\)

m=\(\frac{1-6}{-3+6}\)

m=-\(\frac{5}{3}\)

Use the slope and one of the points to solve for the y-intercept

y1=mx1+b

6=-\(\frac{5}{3}\)(-6)+b

6=10+b

b=6-10

b=-4

plug the values for m and b into y=mx+b

y=-\(\frac{5}{3}\)x-4

Answer:

First find the slope.

m=y2-y1 / x2-x1

m= 1-6

-3-(-6)

m=-5

-3+6

m=-5

3

m= -1.6

y-y1=m(x-x1)

y-6= -1.6(x-(-6))

y-6= -1.6x+6

Answer:

5

Step-by-step explanation:

Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

Learn more about the circle visit:

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Answer:

  28 -4i

Step-by-step explanation:

Perhaps you want the product ...

  (4 -2i)(6 +2i)

Multiplying in the usual way, we get ...

  (4)(6) +(4)(+2i) +(-2i)(6) +(-2i)(2i)

  = 24 +8i -12i -4i^2

Recognizing that i^2 = -1, we can collect terms to get ...

  = 24 +i(8 -12) -4(-1)

  = 28 -4i

_____

Please note that i = √(-1) is not the same as 1 or /. You may need to edit your question to ensure the correct symbol is used.

Answer:

Step-by-step explanation:

Hi

Answer:

b ≈ 9.2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² = a² + c² = 6² +7² = 36 + 49 = 85 ( take the square root of both sides )

b = \(\sqrt{85}\) ≈ 9.2 ( to the nearest tenth )

Answer:

9.22

Step-by-step explanation:

Since it's a 90° triangle \(c^{2} =a^{2} +b^{2}\).

In this example they labeled the hypotenuse as b instead of c are equation is still the same just put the correct variables in the right places.

\(b = \sqrt{6^{2} +7^{2} }\)

b = 9.22

Answer:

C

Step-by-step explanation:

The Brainly equation editor is not working for me right now, so I have attached a screenshot of my workings and explanation.

Answer:

(a)Jupiter

(b)24.4 km

(c)\(1.33 \times 10^{27}$ kg\)

Step-by-step explanation:

Part A

The planet with the greatest ma.ss is Jupiter.

It has a ma.ss of \(1.898 X 10^{27}$ kg\)

Part B

The diameter of Mercury = 4.88 X 10

Radius = Diameter/2

Therefore:

Radius of Mercury

\(=\dfrac{4.88 X 10}{2}\\ =2.44 X 10\\=24.4$ km\)

Part C

\(M$a.ss of Saturn = 5.68 X 10^{26}\\$Mass of Jupiter = 1.898 X 10^{27}\\$Difference in their ma.ss =(1.898 X 10^{27})-(5.68 X 10^{26})\\=1.33 \times 10^{27}$ kg\)

Inequalities are used to represent unequal expressions.

The inequality is \(24 + 8R \ge 100\)

The given parameters are:

\(Paid = 24\)

\(Rolls = 12\)

\(Cost = 8\) --- the unit cost per roll.

Assume the number of additional roll is R.

So, the total number of sushi is:

\(Total=Paid + Cost \times R\)

This gives

\(Total=24 + 8\times R\)

Multiply 8 and R

\(Total=24 + 8R\)

The sushi needed is at least 100.

This implies that:

\(Total \ge 100\)

So, we have:

\(24 + 8R \ge 100\)

Hence, the inequality is \(24 + 8R \ge 100\)

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Answer:-1/6

Step-by-step explanation:

Draw a line out in the 2nd quadrant.

Your y=\(\sqrt{35}\)    hypotenuse=6  use pythagorean theorem to solve for x

6² = 35 + x²

x=1

so

cosΘ = -1/6

Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

Answer:

It would be 11, 23, and 33

Step-by-step explanation:

because, 2 side of the triangle should add up to greater than your other side of the triangle. And so on for each of the sides.  

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The surface area of a three dimensional shape is the total area of all of the faces. To find the surface area of a shape, we find the area of each face and add them together. E.g. The measurements here are in centimetres so the surface area is measured in square centimetres ( c m 2 ) (cm^2) (cm2).

Answer: 14π

Step-by-step explanation: The formula for circumference is 2 * pi * the radius. However, we are looking for the terms of pi, so we will multiply 2 times pi to get 2 pi. then we get 2 pi x 7 which gives us 14pi, the answer.

Answer:

The largest integer value that makes the inequality true is 9.

General Formulas and Concepts:
Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

1x - 8 < 2x + 1

Step 2: Solve for x

∴ we see that any number x greater than -8 would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.

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Topic: Algebra I

The Selling Price of The Book before discount will be 20

Answer:

The length of the third side is approximately ≈ 14.79 inches

Step-by-step explanation:

A piece of wire is bent into the shape of a triangle. Two sides have lengths of 16 inches and 23 inches. The angle between these two sides is 40°. What is the length of the third side to the nearest hundredth of an inch?

Use the law of cosines to find the length of the missing side.

Let C be the third side.

A = 18

B = 23

Angle C = 40^∘

c^2  =  a^2  +  b^2 - 2ab  cos C

c =  √a^2 + b^2 - 2ab cos C

c =  √18^2 + 23 ^2 - 2 (18) (23) cos 40^∘

c = √583 - 828 cos40^∘

≈ 14.79

Thus, The length of the third side is approximately  14.79 inches.

Hope this helps!

Answer:

1 term 3x²

two term  x+8,  3x³ +5x²

3 term 2x²+x-3

Step-by-step explanation:

Answer: it should be 68%

Answer:

C

Step-by-step explanation:

 2

+2

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 4

Answer:

the answer is 45 because there are four marbles so it would be a 50/50