pls look at pic before help out confused

Pls Look At Pic Before Help Out Confused

Answers

Answer 1

Answer:

Option 4

Step-by-step explanation:

By the Pythagorean identity, and the fact we are in the first quadrant,

[tex]\cos \theta=\frac{4}{5}[/tex]

Using the double angle formula for cosine,

[tex]\cos 2\theta=2\cos^{2} \theta-1=2\left(\frac{4}{5} \right)^2 -1=\frac{7}{25}[/tex]


Related Questions

I thought I just had to half the diameter and then put it into the volume formula for cylinders but ig I was wrong? Help please?

Answers

Answer:

10830.87 mm³

Step-by-step explanation:

Hello!

Volume of a cylinder: [tex]V = \pi r^2(h)[/tex]

[tex]\pi[/tex] = pir = radius (half diameter)h = height

The radius for this cylinder is 9.525, after dividing 19.05 by 2.

Plug it into the volume formula to solve for the volume.

Find the Volume[tex]V = \pi r^2(h)[/tex][tex]V = \pi (9.525)^2(38)[/tex][tex]V = \pi (90.725625)(38)[/tex][tex]V = 3447.57375\pi[/tex][tex]V = 1083087236570...\approx10830.87[/tex]

The volume is approximately 10830.87 cubic millimeters.

x^2-15x+54=0 solve for x

Answers

Answer: x = 9 and x  = 6

Step-by-step explanation:

[tex]x^2-15x+54=0\\(x-9)(x-6)\\x-9=0\\x=9\\x-6=0\\x=6[/tex]

Therefore, x = 9 and x  = 6

Geometry: complete this proof, ASAP!!!!!!!!

Answers

Answer:

1. Given

2. Definition of Congruent Angles

3. Triangle Interior Angle Sum Theorem

4. Transitive Property of Equality

5. Substitution Property of Equality

6. Definition of Congruent Angles

A small manufacturer constructs refrigerators. the fixed monthly cost is $200,000, and it costs $450 to produce one refrigerator. the average cost function to produce x refrigerators is represented by: what is the horizontal asymptote of c(x)? y =

Answers

Horizontal asymptote of c(x) is 450.

What is Horizontal asymptote?

A horizontal asymptote is a line that guides the graph of a function for x-values but is not itself a part of the graph. "far," either "far" to the right or "far" to the left. Eventually, whether the graph is large enough or little, it may intersect.

According to the information:

Since we have given that

Cost to produce one refrigerator = $450

Fixed monthly cost = $200,000

Thus, the following formula represents the average cost to produce x refrigerators:

C(x) = (200000 + 450x)/x

Horizontal asymptote of c(x) would be

= 450x/x

= 450

Hence, Horizontal asymptote of c(x) is 450

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Graph the equation:

Y = 1/3x + 2

Please help!!
please explain in a way a middle schooler would understand!!
ty!

Answers

This is a slope intercept form problem! The equation would be modeled as in the image. It would be modeled as so because 2 is the y-intercept, meaning that is where we begin on the graph (the point location is (0,2). From there, we would move up 1 point and to the right 3 points because slope is represented by rise over run. Since 1/3 has a variable beside it, we know 1/3 is the slope. With that being said, the equation would be graphed by starting at (0,2) on the graph and moving up 1 and to the right 3 points each time. If you need any help, let me know and I will gladly assist you.

A soccer ball is kicked across a field at an angle of 45° with an initial speed of 16m/s.
Determine how long the soccer ball was in the air.
1.94 s
3.89 s
2.16 s
O2.30 s

Answers

Answer:

it's C. 2.26s

but you wrote 2.16s nearly

The soccer ball was in the air for approximately 2.31 seconds. Rounding to two decimal places, the answer is approximately 2.30 seconds,  option D.

How to determine how long the soccer ball was in the air

To determine how long the soccer ball was in the air, we can use the vertical motion of the ball. When a projectile is launched at an angle, its vertical motion can be analyzed separately from its horizontal motion.

In this case, the initial velocity of the soccer ball can be divided into vertical and horizontal components. The initial velocity in the vertical direction can be calculated using the sine of the launch angle:

Vertical component (Vy) = initial speed (v) * sin(angle)

Vy = 16 m/s * sin(45°)

Vy = 11.31 m/s

Now, we can use the vertical motion equation to find the time the ball spends in the air:

Vertical displacement (y) = Vy * time - (1/2) * gravity * time^2

Since the ball reaches the same vertical position when it lands as when it was launched, the vertical displacement is 0. Therefore, we can set the equation equal to zero:

0 = (11.31 m/s) * time - (1/2) * 9.8 m/s^2 * time^2

Simplifying the equation:

4.9 * time^2 = 11.31 * time

Dividing both sides by time:

4.9 * time = 11.31

time = 11.31 / 4.9

time ≈ 2.31 seconds

Therefore, the soccer ball was in the air for approximately 2.31 seconds. Rounding to two decimal places, the answer is approximately 2.30 seconds, which corresponds to option D.

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If NR is parallel to OQ AND OQ = 130m, what is the length of NR?

Answers

Answer: 260 m

Step-by-step explanation:

Let's say the length of NR is x m, using the similarity rule, we get the equation

175/130 = (175+175)/x

x = 260

So NR is 260 m

Arrange the Fractions in Descending order

Answers

Step-by-step explanation:

How can these fractions be arranged in descending order?

Arranging fractions in descending order means arranging the fractions starting from the highest to the lowest.

Finding the LCM of 3, 16, 12, 24,

[tex] \frac{2}{3} \: \frac{5}{16} \frac{7}{12} \frac{11}{24} \\ \\ \frac{32 + 15 + 28 + 22}{48} \\ \\ Arranging \: the \: fractions \: in \: descending \: order \\ \frac{2}{3} \frac{7}{12} \frac{11} {24} \frac{5}{16} [/tex]

Use the quadratic formula to find the solutions to the equation.
3x^2- 10x+ 5 = 0

Answers

Answer:

[tex]x =\frac{5}{3} \pm \frac{\sqrt{10}}{3} \\\\x=2.72076\\x=0.612574\\[/tex]

Step-by-step explanation:

The quadratic equation is:

[tex]3x^2 - 10x + 5 = 0[/tex]

The roots (solutions) of a quadratic equation of the form
[tex]a^2 + bx + c = 0\\[/tex]

are

[tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }[/tex]

in this case we have a = 3, b = -10, and c = 5

So, substituting for a, b and c we get

[tex]x = \frac{ -(-10) \pm \sqrt{(-10)^2 - 4(3)(5)}}{ 2(3) }[/tex]

[tex]x = \frac{ 10 \pm \sqrt{100 - 60}}{ 6 }\\[/tex]

[tex]x = \frac{ 10 \pm \sqrt{40}}{ 6 }[/tex]

Simplifying we get

[tex]x = \frac{ 10 \pm 2\sqrt{10}\, }{ 6 }\\\\x = \frac{ 10 }{ 6 } \pm \frac{2\sqrt{10}\, }{ 6 }\\\\x = \frac{ 5}{ 3 } \pm \frac{ \sqrt{10}\, }{ 3 }\\\\\frac{ 5}{ 3 } + \frac{ \sqrt{10}\, }{ 3 } = 2.72076\\\\\\[/tex]  (First root/solution)

[tex]\frac{ 5}{ 3 } - \frac{ \sqrt{10}\, }{ 3 } = 0.612574[/tex]  (Second root/solution)

solve math problem plsss LOTS OF POINTS

Answers

The solution to 0.5^(x + 2) > 9 is x  > -5.170

How to solve the inequality expression?

The inequality expression is given as:

0.5^(x + 2) > 9

Take the logarithm of both sides of the inequality expression

log(0.5^(x + 2)) > log(9)

Rewrite the inequality expression as

(x + 2)log(0.5) > log(9)

Divide both sides by log(0.5)

x + 2 > -3.170

Subtract 2 from both sides

x  > -5.170

Hence, the solution to 0.5^(x + 2) > 9 is x  > -5.170

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The probability that a rental car will be stolen is. 4. if 3500 cars are rented, what is the approximate poisson probability that 2 or fewer will be stolen?

Answers

Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.

The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:

[tex]\mu = 3500 \times 0.0004 = 1.4[/tex]

The probability that 2 or fewer cars will be stolen is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466[/tex]

[tex]P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452[/tex]

[tex]P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417[/tex]

Then:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335[/tex]

0.8335 = 83.35% probability that 2 or fewer will be stolen.

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√(2x+1)
Evaluate the integral
2
(2x + 1) In (2x + 1)
dx.

Answers

Substitute [tex]y=\ln(2x+1)[/tex] and [tex]dy=\frac2{2x+1}\,dx[/tex], so that

[tex]\displaystyle \int \frac2{(2x+1) \ln(2x+1)} \, dx = \int \frac{dy}y = \ln|y| + C = \boxed{\ln|\ln(2x+1)| + C}[/tex]

17. A bag contains 2x yellow counters, 4x + 6 red counters and 6x - 10 blue counters. a. Write an expression, in terms of x, for the total number of counters in the bag.
The total number of counters in the bag is 44.
b. Work out the number of blue counters in the bag.
c. How many more red counters are there than blue counters in the bag?​

Answers

Answer: 12x-4, 14 counters, 8 more counters

Step-by-step explanation:  There are 2x yellow, 4x+6 red, and 6x-10 blue counters. We need to add all of this up to get the total number of counters. We first add the x's : 2x+4x+6x = 12x. Then we add the numbers. 6+ (-10) is -4. So, our expression is 12x-4. Next, we need to find out how many blue counters are in the bag. We know that there are 44 total counters and we need to find x because all the counters have x in them. 12x-4 = 44. We first add 4 to both sides to get 12x= 48 and x = 4. blue has 6x-10 counters so, blue has 24-10 = 14 counters. Red has 16+6 = 22 counters. 22-14 = 8 more counters

help me pls like srsly

Answers

The time it will take the thermometer to hit the ground is 22 seconds

Calculating Time

From the question, we are to determine the how long it would take the thermometer to hit the ground

From the given information,

The equation for the height as a function of time is

h(t) = -16t² + initial height

From the given information,

The thermometer falls from a weather balloon at a height of 7744 ft

∴ Initial height = 7744 ft

When the thermometer hits the ground, h(t) = 0

Thus, we get

0 = -16t² + 7744

16t² = 7744

t² = 7744/16

t² = 484

t = √484

t = 22 seconds

Hence, the time it will take the thermometer to hit the ground is 22 seconds

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A radioactive material has a half life of 10 years. What is the fraction of the initial isotope is left after 60 years

Answers

Answer:

1/2^6 = 1/64

Step-by-step explanation:

Half life = 10 years

Time = 60 years

No of half life = T/t

= 60 / 10 = 6

Remaining fraction = 1/2^(no of half life)

= 1/2^6

= 1/64

Find the hourly wage for a person with an income of $44762, who works 54
hours a week for 47 weeks.
Round your answer to 2 decimal places.

Answers

Answer:17.64

Step-by-step explanation:44762/54/47= 17.6367 or 17.64

Justine wants to go to the school dance next week, but only if her friend kelly goes. she asks her mom to go, saying she will complete all her homework on time. her mom says she can go to the dance as long as she completes all her chores for the week. using this situation, describe the concepts of conditional probability and independent and dependent events and how they relate to justine’s situation.

Answers

Justine only goes when her friend goes [Conditional probability].

Mom going to PROM and Justine going to PROM are separate events. [Independent events].

Mom can't go until she finishes the housework is dependent on events

independent events. [Dependent events]

What is probability?

The probability exists in the analysis of the possibilities of happening of a result, which exists acquired by the ratio between favorable cases and possible cases.

Conditional probability directs to the possibility that some outcome happens given that another possibility contains also occurred.

Justine only goes when her friend goes [Conditional probability]

Independent events exist as those possibilities whose occurrence exists not dependent on any other event.

Mom going to PROM and Justine going to PROM are separate events. [Independent events]

Dependent events exist that depend upon what occurred before.

Mom can't go until she finishes the housework is dependent on events

independent events. [Dependent events]

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What is the exponent of x in in the expression -4x^3y^2 + 6

Answers

Answer:

3

Step-by-step explanation:

- 4x³y² + 6

the x is raised to the power of 3 , that is exponent of x is 3

Please help asap!!

Find the sum for the first 500 terms given the sequence -1,-3,-5,-7.....

Answers

Answer: -250000

Step-by-step explanation:

Sum of arithmetic terms = n/2[2a + (n - 1)d],

where 'a' is the first term,

'd' is the common difference between two numbers,

and 'n' is the number of terms.

'a' = -1

'd' = -2

'n' = 500

plug and chug

(500)/2[2(-1) + ((500)-1)*(-2)] =

250[-2 + -998] =

250[-1000] =

-250000

In a certain exam of grade ten, 75% students got high score in mathematics, 65%
students got high score in English. If 6% of them did not get high score in both
mathematics and English, then calculate:
i. the percent of students who got high score in both the subjects.
ii. the total number of students who got high score either in mathematics or
in English if 300 students had attended the exam.
Mathematics, grade 10

Answers

(i) The percentage of students who got high scores in both the subjects English and Mathematics is 46%.

(ii) The total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam exists 138.

What is probability?

The probability exists in the analysis of the possibilities of happening of an outcome, which exists acquired by the ratio between favorable cases and possible cases.

The number of students who got high scores in Mathematics was 75%.

The number of students who got high scores in English was 65%.

(i) The percentage of students who got high scores in both the subjects

100% - 6% = 94%

(75% + 65%) - 94%

= 140% - 94%

= 46%

Therefore, the percentage of students who got high scores in both the subjects English and Mathematics is 46%.

(ii) The total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam

= 300 [tex]*[/tex] 46%

= 300 [tex]*[/tex] (46 / 100)

= 300 [tex]*[/tex] 0.46

= 138.

Therefore, the total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam exists 138.

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Helpppppp show your work

Answers

(-3²)-2(-3-4)-(-1³)

=9-2(-7)+1

=9+14+1

=24

Hope it helps!

Answer: look at the picture

Step-by-step explanation:

sixteen thousand, four hundred eighty-two. Write this number in standard
In a recent year, the population of Springfield, Illinois was one hundred
form. Show your work in the space below. Remember to check your solutic

Answers

Answer:

16482 this is the answer

Consider the quadratic equation x² 20x + 13 = 0.
-
Completing the square leads to the equivalent equation (x-
—)² = —

Answers

x^2 + 20x + 13 = 0
x^2 + 20x = -13

(B/2)^2 = (20/2)^2 = 10^2 = 100

x^2 + 20x + 100 = -13 + 100

(x + 10)^2 = 87

The analogous equation for the square will be; (x-10)²=87.

What is Equivalent equation?

Algebraic equations with equivalent solutions or roots are called equivalent equations.

Based on information provided, an equivalent equation is created by adding or deleting the same quantity or expression from both sides of a given equation;

Using the original equation as a starting point as;

-20x+ x² + 13 = 0

Now x² - 20x = -13.

We need to take the "x" term's coefficient, or b, to complete the square.

Then Divide by 2 and write the equation in the quadratic formula (ax² + bx + c = 0).Then,

B = -20

b/2 = -10

(b/2)² = 100

x² - 20x +100 = -13 + 100

On the left side,

LHS: (x + b/2)² = (x-10)2

RHS: -13 + 100 = 87

(x-10)² = 87

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i don’t understand graphs

Answers

Answer:

y ≤ 2.5x + 5

Step-by-step explanation:

first step is to obtain the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line

m = [tex]\frac{5-0}{0-(-2)}[/tex] = [tex]\frac{5}{0+2}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5

the line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = 2.5x + 5 ← equation of line

since the line is solid then inequality will be ≤

the solution to the inequality is the blue region below the line , then

y ≤ 2.5x + 5 ← inequality represented by graph

A cylinder has a radius of 1 inch and height of 1 inch.what is the approximate volume of the cylinder? round to the nearest hundredth. use 3.14 for π.1.05 cubic inches1.57 cubic inches3.14 cubic inches6.28 cubic inches

Answers

The volume of the cylinder is [tex]3.14 inch^3[/tex]

Given that

radius = 1 inch

height = inch

we know that volume =[tex]V = \pi \times r^2 \times h[/tex]

now put the value in the above equation we get

[tex]V = 3.14 \times 1 ^2\times 1\\V = 3014inch ^3[/tex]

What is Volume?Volume is a measurement of three-dimensional space that is occupied.Numerous imperial units or SI-derived units, such as the cubic meter and liter, are frequently used to quantify it numerically (such as the gallon, quart, cubic inch).The volume of a container is typically thought of as its capacity, not as the amount of space it takes up. In other words, the volume is the amount of fluid (liquid or gas) that the container may hold.Arithmetic formulas can be used to quickly calculate the volume of several straightforward three-dimensional shapes.If a formula for the shape's boundary is known, it is possible to use integral calculus to determine the volumes of more complex shapes. objects with dimensions of zero, one, and two have no volume;

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The linear density in a rod 5 m long is 10 x + 4 kg/m, where x is measured in meters from one end of the rod. Find the average density ave (in kg/m) of the rod.

Answers

The average density of the rod is  0.704 kg/m.

For given question,

We have been given the linear density in a rod 5 m long is 10 / x + 4 kg/m, where x is measured in meters from one end of the rod.

We need to find the

The length of rod is, L = 5 m.

The linear density of rod is, ρ = 10/( x + 4) kg/m

To find the average density we need to integrate the linear density from x₁ = 0 to x₂ = 5,  

The expression for the average density is given as,

⇒ ρ'

[tex]=\int\limits^5_0 {\rho} \, dx\\\\=\int\limits^5_0 {\frac{m}{L} } \, dx\\\\=\int\limits^5_0 {\frac{10}{5(x+4)} }\, dx\\\\=\int\limits^5_0 {\frac{2}{x+4} }\, dx[/tex]                        ......................(1)

Using u = x + 4  

du = dx

u₁ = x₁ + 4

u₁ = 0 + 4

u₁ = 4

and

u₂ = x₂ + 4

u₂ = 5 + 4

u₂ = 9

By entering the values above into (1), we have:

⇒ ρ'

[tex]=2\int\limits^9_4 {\frac{1}{u} } \, du\\\\ = 2[(log~u)]_4^{9}\\\\=2[(log~9-log~4)]\\\\=2\times[0.352][/tex]

= 0.704

Thus, we can conclude that the average density of the rod is  0.704 kg/m.

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What is the correct sequence of organs for the formation and elimination of urine?.

Answers

The analysis of the kidney exists named urology.  The kidney exists as a bean-shaped organ. The Kidney exists metanephric in nature and is located retroperitoneal in position.

What is a kidney?

The organ current in the body which regulates the fluid concentration of the body exists named the kidney.

The nephron exists as the structural and operational unit of the kidney.

The sequence of the appearance of the kidney exists as pursues:-

Minor calyxMajor calyxCollecting ductNephronUreterUrethra

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Determine the slope of the line.

Answers

Answer:

2

Step-by-step explanation:

→ Find 2 points from the line

( 0 , 6 ) and ( - 3 , 0 )

→ Find the change in y coordinates

0 - 6 = -6

→ Find the change in x coordinates

-3 - 0 = -3

→ Divide the 2 results

-6 ÷ -3 = 2

Find the area of the parallelogram?
A. 13.5
B. 18
C. 16
D. 12

Answers

Answer:

12 ft²

D

Step-by-step explanation:

Area of parallelogram = Base × Height

Here, base = 3ft

height = 4ft

So, Area = 3×4 ft² = 12 ft²

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\text{Area of parallelogram is:}[/tex]

[tex]\rm{\bold{b}ase\times\bold{h}eight = \bold{a}rea}[/tex]


[tex]\huge\text{Your equation should look like: }[/tex]

[tex]\rm{3\times4 = \boxed{\bf area}}[/tex]

[tex]\huge\text{Simplify the equation above \& you will have}\\\\\huge\text{the answer to the area of the parallelogram.}[/tex]

[tex]\mathsf{3[base] \times 4[height] = ?[area]}[/tex]


[tex]\huge\text{Simplify it:}[/tex]

[tex]\rm{12\ ft^2}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\frak{12\ ft^2}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answers

Answer:

numbers

Step-by-step explanation:

numbers

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