b)Given 0º < x < 360° , solve for x in:
2 sin (2x - 30°) = √3.​

Answer:

u = 10.88

Step-by-step explanation:

u - 6.46 = 4.42

u - 6.46 + 6.46 = 4.42 + 6.46

u = 10.88

Answer:

who knows

Step-by-step explanation:

Answer:

(4,8) is the answer.

Step-by-step explanation:

To solve by substitution, you need to isolate a variable. The bottom equation already has y isolated, so we can just plug that into the other equation:

[tex]2x=-2x+16[/tex]

Add [tex]2x[/tex] to both sides in order to get rid of the [tex]-2x[/tex] on the right side:

[tex]4x=16[/tex]

Now divide by 4 on both sides to get:

[tex]x=4[/tex]

That gives us our x. Now plug in that x into either equation. I will just choose the bottom equation:

[tex]y=2(4)\\y=8[/tex]

Therefore the solution to this problem is (4,8).

Answer:

14 glasses

Step-by-step explanation:

3.5 (liters) times 10 (cartons) = 35 (liters)

(1 liter = 1,000 milliliters)

(35 liters = 3,500 milliliters)

3,500 (liters) divided by 250 (milliliters) = 14 glasses

The greatest number of glasses of orange juice that Sam can sell will be 140 glass.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Sam sells orange juice by the glass, and each glass contains 250 milliliters of orange juice.

Sam has 10 cartons that each contain 3.5 liters of orange juice.

Then the total amount of orange juice will be

Total amount = 10 x 3.5

Total amount = 35 liters

We know that one liter is equal to 1000 milliliters.

Then the total amount of the orange juice in milliliters will be

Total amount = 35 x 1000

Total amount = 35,000 milliliters

Then the greatest number of glasses of orange juice that Sam can sell will be

Total number of glass = 35,000 / 250

Total number of glass = 140 glass

The greatest number of glasses of orange juice that Sam can sell will be 140 glass.

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Answer: Square root (52), No

Step-by-step explanation:

Answer:

Step-by-step explanation:

4^2 + 6^2 = x^2

sqrt 52 = x

x= 7.211

No, it is not a pythagorean triple because x is not a whole number.

Answer:

4123

Step-by-step explanation:

A=Pert,

where A is the balance of the account, P is the principal, r is the annual interest rate (as a decimal), and t is the time (in years). We are given that P=2800, r=0.043, and t=9. Substituting the values into the formula and using a calculator to evaluate, we find

A=Pert=2800e(0.043)(9)≈4123.16

Answer:

[tex](a)\ y =0\ or\ y=4\ or\ y=6[/tex]

[tex](b) \ (-\infty,4)\ u\ (6,\infty)[/tex]

[tex](c)\ (4,6)[/tex]

Step-by-step explanation:

Given

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

Solving (a): The constants

This implies that:

[tex]\frac{dy}{dt} = 0[/tex]

So, we have:

[tex]y^4 - 10y^3 + 24y^2 = 0[/tex]

Factorize:

[tex]y^2(y^2 - 10y + 24) = 0[/tex]

Expand and Factorize the expression in bracket

[tex]y^2(y^2 - 6y - 4y + 24) = 0[/tex]

[tex]y^2(y(y - 6) - 4(y - 6)) = 0[/tex]

[tex]y^2(y - 4)(y - 6) = 0[/tex]

Split

[tex]y^2 =0\ or\ y-4=0\ or\ y-6=0[/tex]

Solve for y

[tex]y =0\ or\ y=4\ or\ y=6[/tex]

The above represents the constants

Solving (b): Increasing values

Here

[tex]\frac{dy}{dx} > 0[/tex]

Follow the same process in (a) but replace all = with >

i.e.

[tex]y^2(y - 4)(y - 6) > 0[/tex]

[tex]y >0\ or\ y>4\ or\ y>6[/tex]

Test the values of each inequality

For [tex]y > 6[/tex]; say [tex]y = 7[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 7^4 - 10*7^3 + 24*7^2[/tex]

[tex]\frac{dy}{dt} = 147[/tex]

[tex]147 > 0[/tex]

This is true for [tex]\frac{dy}{dx} > 0[/tex];  This implies that: [tex](6, \infty)[/tex]

For [tex]y > 4[/tex] Say [tex]y = 5[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 5^4 - 10*5^3 + 24*5^2[/tex]

[tex]\frac{dy}{dt} = -25[/tex]

This is false:

Say [tex]y = 3[/tex] i.e. [tex]y < 4[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 3^4 - 10*3^3 + 24*3^2[/tex]

[tex]\frac{dy}{dt} = 27[/tex]

[tex]27 > 0[/tex]

This is true for [tex]\frac{dy}{dx} > 0[/tex]. This implies that: [tex](0,4)[/tex]

For [tex]y > 0[/tex]

[tex]y > 0[/tex] implies that: [tex]y < 4[/tex]

For [tex]y < 0[/tex] say [tex]y = -1[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = (-1)^4 - 10*(-1)^3 + 24*(-1)^2[/tex]

[tex]\frac{dy}{dt} = 35[/tex]

This is true for [tex]\frac{dy}{dx} > 0[/tex]. This implies that [tex](-\infty, 0)[/tex]

We have: [tex](-\infty,0), (0,4)\ and\ (6,\infty)[/tex]

[tex](-\infty,0)\ and\ (0,4)[/tex] can be combined to give: [tex](-\infty,4)[/tex]

So, the interval is: [tex](-\infty,4)\ u\ (6,\infty)[/tex]

Solving (c): Decreasing values

Here

[tex]\frac{dy}{dx} < 0[/tex]

i.e.

[tex]y^2(y - 4)(y - 6) < 0[/tex]

[tex]y <0\ or\ y<4\ or\ y<6[/tex]

Test the values of each inequality

For [tex]y < 6[/tex]; say [tex]y = 5[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 5^4 - 10*5^3 + 24*5^2[/tex]

[tex]\frac{dy}{dt} = -25[/tex]

This is true for [tex]\frac{dy}{dx} < 0[/tex];  This implies that: [tex](\infty,6)[/tex]

For [tex]y < 4[/tex]; say [tex]y = 3[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 3^4 - 10*3^3 + 24*3^2[/tex]

[tex]\frac{dy}{dt} = 27[/tex]

This is false

Say [tex]y = 5[/tex] i.e.  [tex]y > 4[/tex]

This is the same as: [tex]y < 6[/tex]

So, we have the interval to be: [tex](4,\infty)[/tex]

For [tex]y < 0[/tex] say [tex]y = -1[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = (-1)^4 - 10*(-1)^3 + 24*(-1)^2[/tex]

[tex]\frac{dy}{dt} = 35[/tex]

This is false

Say [tex]y = 2[/tex] i.e [tex]y > 0[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 2^4 - 10*2^3 + 24*2^2[/tex]

[tex]\frac{dy}{dt} = 32[/tex]

This is also false

So, the intervals are: [tex](4,\infty)[/tex] and [tex](\infty,6)[/tex].

This can be merged as: [tex](4,6)[/tex]

Hence, the interval for [tex]\frac{dy}{dt} < 0[/tex] is [tex](4,6)[/tex]

Answer:

D

Step-by-step explanation:

9514 1404 393

Answer:

  y = -4/3x +23/2

Step-by-step explanation:

The tangent of interest is perpendicular to the radius at the given point on the circle. To find the perpendicular, it helps to know the slope of the radius segment. To find that, we need the center of the circle.

The center of the circle can be found by completing the square for each variable.

  (x^2 -2x) +(y^2 +4y) = 20

  (x^2 -2x +1) +(y^2 +4y +4) = 20 +1 +4

  (x -1)^2 +(y +2)^2 = 25

Comparing this equation to the standard form equation for a circle, we can find the center.

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle of radius r centered at (h, k)

The center of circle P is (1, -2).

__

The slope m' of the line segment between (1, -2) and (5, 1) is given by ...

  m' = (y2 -y1)/(x2 -x1)

  m' = (1 -(-2))/(5 -1) = 3/4

The slope m of the perpendicular line is the opposite reciprocal of this, so is ...

  m = -1/m' = -1/(3/4) = -4/3

The y-intercept of the desired line can be found from ...

  b = y -mx . . . . . . . for m=-4/3 and (x, y) = (5, 1)

  b = 1 -(-4/3)(5) = 23/3

Then the equation of tangent line AB is ...

  y = mx +b

  y = -4/3x +23/3

Answer:

Gasoline 7%

Step-by-step explanation:

2500 * 0,07 = 175

Number * 0, percent = answer

Gasoline is the part of Shaquira's budget which is $175.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

As per the given data:

Shaquira's monthly income = $2,500

Monthly Budget Utilities = 18% of income

Entertainment = 9% of income

Rent = 51% of income

Gasoline = 7% of income

Food = 15% of income

To find which part is $175 let's calculate all parts:

Monthly Budget Utilities = (18/100) × 2,500 = $450

Entertainment = 9% × 2,500 = $225

Rent = 51% × 2,500 = $1275

Gasoline = 7% × 2,500 = $175

Food = 15% × 2,500 = $375

Hence, gasoline is the part of Shaquira's budget which is $175.

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hi

f(x) = -12x²+9x

So

f'(x) =  -24x +9

if  x = 6   then  f'(6) = -24 (6) +9 = -135

Answer:

Step-by-step explanation:

uhhh i think so its 84 is abc but adc is missing try 48  i dont know but i try

Answer:

B

Step-by-step explanation:

Answer:

Personification is your answer.

Hope it helps!!!

Answer:

81.75

Step-by-step explanation:

75*1.09 = 81.75

Answer:$81.75

Step-by-step explanation:

9% of 75 is 6.15, add that to 75 and the answer is 81.75

Answer:

a=52

b=128

r=s=100

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Given:

m<BCF = 4x°

m<CFE = 11x°

Required:

m<BCF and m<CFE

SOLUTION:

m<BCF + m<CFE = 180° (same side interior angles are supplementary)

Substitute

4x + 11x = 180

15x = 180

Divide both sides ny 15

15x/15 = 180/15

x = 12

Answer:

24 feet tall

Step-by-step explanation:

First you divide 6 by 10 and then you get 0.6, you then multiply 0.6 by 40 and you get 24.

Answer:

15

Step-by-step explanation:

please mark brainliest

Answer:

15

Step-by-step explanation:

20% of 75 is 15

Answer:

7³ = 343

Step-by-step explanation:

a cube is equilateral

Answer:

is dancing with the circus grows and the mongooses you join us for the circus grows and the mongooses you join us for the circus grows and the mongooses you

Hence, the study would require at least 385 more adult Americans to be sampled as the degree of inaccuracy is E. (e.g., 0.05).

In mathematics, proportionality is the connection between two factors that maintains a fixed ratio called scale factor. Or, to put it another way, if one variable is increased or divided by a specific number, the second variable will also be doubled or divided by that identical number, maintaining their proportionality. Calculus, algebra, and geometry are three areas of mathematics where this idea is frequently applied.

given

(a) If 20% of adult Americans favour the suggested reforms, the sample size needed at the very least is:

n = [(zα/2)² * p * (1-p)] / E²

where z/2 is the standard normal distribution's critical value for the chosen degree of confidence (e.g., 1.96 for a 95% confidence level).

The population proportion is p. (0.2 in this case)

The degree of inaccuracy is E. (e.g., 0.05)

When we enter the values, we obtain:

n = [(1.96)² * 0.2 * (1-0.2)] / 0.05²

n = 1536.64

Thus, the study would require at least 1537 more adult Americans to be sampled.

(b) The minimal sample size needed if the proposed modifications are

supported by 25% of all adult Americans is:

n = [(zα/2)² * p * (1-p)] / E²

where:

The standard normal distribution's critical value, z/2, depends on the desired level of confidence (e.g., 1.96 for a 95% confidence level).

The population proportion is p. (0.25 in this case)

The degree of inaccuracy is E. (e.g., 0.05)

When we enter the values, we obtain:

n = [(1.96)² * 0.25 * (1-0.25)] / 0.05² \sn = 384.16

Hence, the study would require at least 385 more adult Americans to be sampled as the degree of inaccuracy is E. (e.g., 0.05).

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Answer:

b. 45 N

Step-by-step explanation:

The sum of the forces exerted by the two miners = 25 + 20

                                           = 45 N

Since after applying a force of 45 N by the two miners the cart remained stationary, it implies that a resistance force of at least 45 N acts against their push. Thus, the force exerted by the road could be equal to 45 N or greater than 45 N.

Probably, if the sum of the forces applied is 46 N, the cart would move. Which depends on the value of resistance force applied by the road. Thus, the appropriate answer from the given option is B.

Since the force applied on the cart equals the resistance force exerted by the road, the cart would not move.

Answer:

#7

#8

The difference:

#9

#10

Max is right

Answer:60

Step-by-step explanation:

Answer:

3,990

Step-by-step explanation: