Please help with the attached file! Thank you

Answer:

Step-by-step explanation:

2cos²θ - 1 - cosθ = 0

(2cosθ + 1)(cosθ - 1) = 0

cosθ = -1/2, θ = 2π/3, 4π/3

cosθ = 1, θ = 0

so answer is 3rd choice

Answer:

30 gram doses

Step-by-step explanation:

First, turn the fractions into decimals.

1/4 gram to .25 gram

7 1/2 gram to 7.5 gram

Then, divide 7.5 total grams by the .25 grams for each dose.

7.5/.25 = 30

Therefore, you can obtain 30 1/4 gram doses from a 7 1/2 gram vial of medication.

Given:

Weight of the vial = [tex]7\frac{1}{2}[/tex] grams

Weight of one dose = [tex]\frac{1}{4}[/tex] gram

To Find:

Number of doses in one vial.

Solution:

Let the number of doses in a vial = n

Therefore, weight of 'n' doses = [tex]n\times \frac{1}{4}[/tex]

                                                  = [tex]\frac{n}{4}[/tex] grams

Since, the weight of the n doses is equal to the weight of one vial,

[tex]\frac{n}{4}=7\frac{1}{2}[/tex]

[tex]\frac{n}{4}=\frac{15}{2}[/tex]

[tex]n=\frac{15\times 4}{2}[/tex]

[tex]n=30[/tex] doses

Therefore, 30 doses can be obtained from one vial of medication.

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Answer:

7½ ft

Step-by-step explanation:

3¾ × 2

3¾ = 15/4 2= 2/1

15/4 × 2/1

cross multiply so 4 simplifies to 2 and 2 simplifies to 1

15/2 × 1/1 = 15/2

15/2 = 7½ ft

Answer:

a second sample of 30 students who are using a more traditional text. You compare student achievement on the state test given to all students

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We know that this is the same as substituting a for x and multiplying the entire expression by -1.

[tex]f(a) = \frac{2a}{a - 1} [/tex]

[tex] - f(a) = \frac{ - 2a}{a + 1} [/tex]

Answer:

East or west back benchers are best

y = 1/2 x²   => C

we can see the point ( 2 ; 2)

x = 2

y = 1/2 * 2² = 1/2 * 4 = 2

Answer:

$325

Step-by-step explanation

78% is 234

x is 100%

cross multiply

[tex]\frac{234}{72}[/tex] = [tex]\frac{x}{100}[/tex]

234 × 100 = 72x

23400 = 72x

23400÷72 =72x ÷72

325 = x

The value of the original price of the sofa would be $325.

Used the concept of percentage that is,

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that,

At a sale this week, a sofa is being sold for $234.

And, This is a 28% discount from the original price.

Let us assume that the original price = x

Hence, the given condition is written as,

[tex]x - (28\% \ \text{of } x) = 234[/tex]

Solve for x,

[tex]x - (0.28 x) = 234[/tex]

[tex]0.72x = 234\\[/tex]

Divide both sides by 0.72,

[tex]x = \dfrac{234}{0.72}[/tex]

Therefore, the original price would be,

[tex]x = \$325[/tex]

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Answer:

Δ

Step-by-step explanation:

If A and B are two sets, then the symmetric difference of A and B is denoted by A Δ B

The mean is $5,563.56

What is Arithmetic mean?

Arithmetic mean is also called average it is calculated by summing the values then dividing by the number of sets

(22,000 + 23,100 + 26,300 + 30,100 + 39,000 + 148,500) / (15 + 12 + 16 + 4 + 4 + 1)

= 289,300 / 52

= 5563.46

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9514 1404 393

Answer:

  3t -4

Step-by-step explanation:

If t represents their normal travel time (in hours), Anna and Tamara traveled 2t on the third day, and t-4 on the fourth day.

The number of hour traveled in the last two days (day 3 and day 4) are ...

  2t +(t-4) = 3t-4

[tex] \huge \qquad \sf \underline{\boxed{ {☘ \sf Sσlutiσn}}}[/tex]

The distance between the centre and any point satisfying the circle is its radius ~

Hence, the distance between the points is equal to length of radius.

[tex]\qquad \sf  \dashrightarrow \: r = \sqrt{(4 - 1) {}^{2} + (9 - 5) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = \sqrt{(3) {}^{2} + (4) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = \sqrt{9 + 16} [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = \sqrt{25} [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = 5[/tex]

As we know, equation of a circle is :

[tex] \qquad \sf(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

where,

Hence, equation of our required clrcle is :

[tex] \qquad \sf(x -1 ) {}^{2} + (y - 5) {}^{2} = {5}^{2} [/tex]

The radius of the circle that has center (1,5) and contains the point (4,9)  is 5 units

The center of the circle is given as:

Center (a,b) = (1,5)

The point on the circle is given as:

Point (x,y) = (4,9)

The radius is calculated using the following distance equation

[tex]r = \sqrt{(x - a)^2 + (y - b)^2}[/tex]

So, we have:

[tex]r = \sqrt{(4 - 1)^2 + (9 - 5)^2}[/tex]

Evaluate the exponents

[tex]r = \sqrt{25}[/tex]

Take the square root of 5

r = 5

Hence, the radius of the circle is 5 units

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Answer:

The car turns right because the person driving hit the right blinkers and wants to go right.

Step-by-step explanation:

common sense

Answer:

supplementary angles

Step-by-step explanation:

both of them combined make the angle 180°

Answer:

y=-1/3x+6 is the equation of the graph so just use this to find the graph

Step-by-step explanation:

Answer:

where are the images

Step-by-step explanation:

Answer:

A supplementary angle is an angle that forms 180°. To put into simpler words, it's the angle that makes a straight line.

A complementary angle is an angle that makes a 90° angle or a right angle.

An acute angle is an angle that is less than 90°.

An obtuse angle is an angle that is between 90 & 180 degrees.

A reflex is one that makes a 270° angle.

And finally you have a full/complete angle which makes a 360° angle

Answer:

Step by Step Solution

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(-2*x+5)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve y+2x-5 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y+2x-5 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

y-intercept = 5/1 = 5.00000

Calculate the X-Intercept :

When y = 0 the value of x is 5/2 Our line therefore "cuts" the x axis at x= 2.50000

x-intercept = 5/2 = 2.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 5.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -4.000/2.000 = -2.000

Geometric figure: Straight Line

Slope = -4.000/2.000 = -2.000

x-intercept = 5/2 = 2.50000

y-intercept = 5/1 = 5.00000

Answer: the sum = 8

Step-by-step explanation:

Answer:

Relative minimum:

(1, - 9)

Answer:

relative minimum

(1,- 9)

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

because yes

Answer:

5/27

Step-by-step explanation:

This is the fraction form I believe, correct me if I'm wrong

Answer:

L = (6u + 5)m ; W = (2u-3)m

Step-by-step explanation:

Given;

Area of the rectangular vegetable garden, A = (12u² - 8u - 15)m²

Let the length of the rectangular vegetable garden = L

Let the width of the rectangular vegetable garden = W

A = L x W

Factorize the given area;

= 12u² - 8u - 15

= 12u² -18u + 10u - 15

= 6u(2u - 3) + 5(2u - 3)

= (6u + 5)(2u-3)

Thus, L = (6u + 5)m     and     W = (2u-3)m

Option B, is the right solution, although it was wrongly typed.

Answer:

Is it anual intrest rate? if so then it would be 1620$ inrest rate  and if it was 6% in 9 years it would be 180$ interest rate

Step-by-step explanation:

Answer:

using the simple interest rate Formula, I = prt.

given 3,000 as the principle,

6% as the rate, and 9 years as the time

I = (3000)(6%)(9)

I = (27000)(6%)

I = (27000)(0.06)

I = 1620$

Present value = I + p

present value = 1620$ + 3000$

present value = 4620$

Answer:

done

Step-by-step explanation:

2x+11=39

Answer:

11

Step-by-step explanation:

16 - | g+9|

Let g = -4

16 - | -4+9|

Evaluate  inside the absolute value

16 - | 5|

The absolute value of 5 is 5

16 -5

11

Answer:

1st option (mean: 38; median: 35)

Step-by-step explanation:

Mean is average. Add all values together and divide by amount of values (190/5 = 38). Median is the value that separates the higher half and the lower half from the set of numbers (25 35 35 45 50; 35 separates).