Which of the following equations is equivalent to 4(6p – 3) = 26?
A: 10p – 1 = 26
B:24p – 12 = 26
C: 10p – 7 = 26
D: 24p – 3 = 26

Answer:

71.5

Step-by-step explanation:

60.5/5.5=11 bottles sold

6.50*11=71.5

The correct option is- A: (-1/2 , -√3/2) are the coordinates found using the terminal points t = 10pi/3.

On the unit circle, the terminal point. To find any terminal point on the unit circle which start at (1, 0), and determine the angle in degree or radian on the circle that travel counter clockwise whereas if angle is positive as well as clockwise if the angle is negative. The terminal point is the coordinate of the endpoint.

Given values:

t = 10pi/3

convert to degrees

t = 10*pi/3

t = 10*180/3

t = 600 degrees

Find quadrant of 600 degrees.

600 = 360+240

240 comes in III quadrant

Thus,  x-coordinate and y-coordinate are negative

Now,

240° = 180°+ 60°

60° is the angle for which terminal point are to be find.

Let ∅=60°

Consider unit circle

radius r = 1 units

Then,

x = -r*cos ∅

x = -cos 60

x = -(1/2)

And,

y = -r*sin ∅

y = -sin 60

y = -(√3)/2

Thus, the coordinates of the terminal point are found as  (-1/2 , -√3/2) by

t = 10pi/3.

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Answer: 3%

First, let us get the total number of visitors:

Then, since we are asked about the probability of the next visitor purchasing more than one costume, we will divide the number of visitors who bought more than one costume by the total number of visitors:

With these, we know that the probability of the next person buying more than one costume is 3%

Answer:

x = -4

Step-by-step explanation:

Step 1: Write equation

71 + x + 74 + 39 = 180

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

6xy

Step-by-step explanation:

Answer:

Solving method

360°÷8 (number of sides)

= 45°

Answer:

Step-by-step explanation:

To solve this inequality, we want to isolate the variable x on one side of the inequality sign.

First, we can simplify the right side of the inequality by subtracting 7 from both sides:

31 < 7 - 3x

31 - 7 < -3x

24 < -3x

Next, we can divide both sides by -3. Note that when we divide an inequality by a negative number, we need to reverse the direction of the inequality sign:

24 < -3x

24/-3 > x

-8 > x

Therefore, the solution to the inequality is:

x < -8

So any value of x that is less than -8 would make the inequality true.

Answer:

Four times a number plus 3 times another number.

Step-by-step explanation:

Answer:

26 ft

Step-by-step explanation:

A=bh

40= 8h

h=5

P=2(l+w)

P= 2(8+5)

P = 2(13)

P = 26

we have the expression

10z+9w

Evaluate when

z=10 and w=7

substitute in the given expression

10(10)+9(7)

100+63

163

therefore

the answer is

163

The values for the length AC and the angles of the right-angled triangle ABC are AC = 12.37, α = 75.96 , and θ = 14.04 using the trigonometric ratios of tangent.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths. The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the right-angled triangle ABC, we shall calculate for the angle B and side lengths a and b as follows:

AC² = 3² + 12² {Pythagoras rule}

AC = √(9 +144)

AC = √153

AC = 12.3693

tanα = 12/3 {opposite/adjacent}

α = tan⁻¹(4) {cross multiplication}

α = 75.9638

tanθ = 3/12 {opposite/adjacent}

θ = tan⁻¹(1/4){cross multiplication}

θ = 75.9638

Therefore, the values for the length AC and the angles of the right-angled triangle ABC are AC = 12.37, α = 75.96 , and θ = 14.04 using the trigonometric ratios of tangent.

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Answer:

?= 105

Step-by-step explanation:

I saw the straight angle the two triangles formed, so I immediately knew that that is 180 degrees. I took 180-75 to get 105

Answer:

monica

Step-by-step explanation:

Step-by-step explanation:

С) 6. I need to write something here to send a response

t should have constraint as in the real world, t is the number of years from 2000,  

T { t ∈ N U {0} | 0 ≤ t ≤ 20} and W = { w ∈ R | w = 0.5t + 47 and 0 ≤ t ≤ 20}

What is the constraint?

A constraint is a condition of an optimization problem that should be satisfied the condition. A cost constraint means that you're limited to a specific project budget, while a time constraint means you must complete your project within a specified timeframe.

The equation W(t) = 0.5t + 47 models the percentage of the population in Guatemala that has access to safe drinking water,

where t represents the number of years since 2000, and W represents the percentage of the population that has access.

Because the data has been collected from 2000 to 2020 and the modelling function is developed on the basis of the collected data. Hence, t should have constraint as in the real world, t is the number of years from 2000.

Because t is the number of years from 2000. Data is collected til 2020, i.e. t=0 to 20,

Let T be the set of all values of t.

T { t ∈ N U {0} | 0 ≤ t ≤ 20}

Because W(t) = 0.5t + 47

Let W be the set of all values of W.

W = { w ∈ R | w = 0.5t + 47 and 0 ≤ t ≤ 20}

Hence, t should have constraint as in the real world, t is the number of years from 2000,  

T { t ∈ N U {0} | 0 ≤ t ≤ 20} and W = { w ∈ R | w = 0.5t + 47 and 0 ≤ t ≤ 20}

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Complete question:

From 2000 to 2020, a world health organization collected data on the percentage of a country's population that had access to safe drinking water. The function W(t) = 0.5t + 47 models the percentage of the population in Guatemala that has safe drinking water where  is the number of years since 2000 and W is the percentage of the population that has access. 5. Explain why the values of  should have a constraint. 6. Write the constraint for the values of t using set builder notation. 7. Write the constraint for the values of W using set builder notation.

Answer:

24 in

Step-by-step explanation

Using pythagorean theorem, since OP is 20 inches and has a midpoint. RP= 10 and OR=10. The hypotenuse is given as 26 so do 26^2=10^2+a. 676= 100+a^2, subtract 100 from both sides. square root of 576 is 24

For exponential equation a^1/n = r option D is true i.e. r^n=a.

What are exponential equations?

Exponents are used in exponential equations, as the name implies. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied. But what happens if a number is variable? When the power is a variable in an equation, it is referred to as an exponential equation.

For example, 3^x = 81, 5^x - 3 = 625, 62^y - 7 = 121, etc are some examples of exponential equations.

Exponential equations are classified into three categories. These are :

As given,

                 a^1/n=r

Now we take 1/n from left side of exponential equation to right side i.e.

      a=r^n   (As a^1/2 = 4 ---> a=4^2)

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The sum of the interior angles of any triangle is always 180°.

For the given right triangle:

Use the given meauste for triangles 2 and 3:

Solve the equation above for x:

Use the value of x=25 to find the measure of angle 2:

Answer:

hapyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Step-by-step explanation:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhnnnnnnnnnnnnnnnnnnnn

Answer:

-1

Step-by-step explanation:

can be soled by substitution remember BEDMAS

can also be written like this

((-2)-2*(-0.5))^3

Answer:

-10

Step-by-step explanation:

well you know that

\((-)(-)=(+)\)

so we have

\(-21-(-11)\\\\=-21+11\\\\=-10\)

The surface area for each of the cylinders is given as follows:

13. 126 yd².

14. 490 m².

15. 283 mm².

16. 297 cm².

The surface area of a cylinder of radius r and height h is given by the equation presented as follows, which combines the base area with the lateral area:

S = 2πrh + 2πr²

S = 2πr(h + r)

Item 13:

r = 2 yd and h = 8 yd, hence the surface area is given as follows:

S = 2π x 2(2 + 8)

S = 126 yd².

Item 14:

r = 6 m and h = 7 m, hence the surface area is given as follows:

S = 2π x 6(6 + 7)

S = 490 m².

Item 15:

r = 3 mm and h = 12 mm, hence the surface area is given as follows:

S = 2π x 3(3 + 12)

S = 283 mm².

Item 16:

r = 3.5 mm and h = 10 mm, hence the surface area is given as follows:

S = 2π x 3.5(3.5 + 10)

S = 297 cm².

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Answer:

8 hours

Step-by-step explanation:

8 hours because half of 16 is 8 and half of 12 is 6

If it takes 6 hours to fill one half then the other 2 hours would go to the other pipe making it 8 hours

Answer:

-79 + 5 i

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

(6+4i)+(8-9i)+(-2+i)

6+4i+8-9i-2+i

6+8-2+4i-9i+i

12-4i

Answer:

it is stq utv

Step-by-step explanation:

Answer:

its top right option

Step-by-step explanation:

Answer:

13.83431104

Step-by-step explanation:

use sin (opposite/hypotenuse) and solve

Answer:

y-5=3(x+1)

Step-by-step explanation:

we use the point-slope formula to plug all of our values in.

\(y-y_{1}=m(x-x_{1})\)

Answer:

D.

Step-by-step explanation:

(m^2- 4n)(m^4+4m^2n+16n^2)

Option D is our correct answer.

i.e (m² - 4n) (\(m^{4}\) + 4nm + 16n²).

Given,

\(m^{6}\) - 64n³

We need to find the factored form of this.

And select the correct options.

A. (m2 + 4n)(m4 − 4m2n + 16n2)

B. (m − 4n2)(m2 + 4mn2 + 16n4)

C. (m + 4n2)(m2 − 4mn2 + 16n4)

D. (m2 − 4n)(m4 + 4m2n + 16n2)

It is given as:

( a - b ) ( a² + ab + b² )

Find the factored form \(m^{6}\) - 64n³

We can write this as,

\((m^{2})^3\) - 4³n³

(m²)³ - (4n)³

This is in the form of (a³ - b³).

Applying this formula.

Now,

(m² - 4n) ((m²)² + 4nm + (4n)²)

(m² - 4n) (\(m^{4}\) + 4nm + 16n²)

Thus Option D is our correct answer.

i.e (m² - 4n) (\(m^{4}\) + 4nm + 16n²).

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The minimum number of trips the bus will have to make to accommodate everyone is 5.

To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.

1. Divide the total number of people (330) by the capacity of the bus (68):

  330 / 68 = 4.85 (rounded to the nearest whole number)

2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.

3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.

4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.

It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.

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