Find the measure of the missing side PQ using trig ratios

Answer:

y = 1.0535(4.9512)^x

It can be considered a viral video

Step-by-step explanation:

Using the exponential regression calculator, the regression model obtained is :

y = 1.0535(4.9512)^x

Using the model, we can determine if a video can be considered viral ;

Number of days, x = 10

y = 1.0535(4.9512)^10

y = 1.0535(8853290.1338)

y = 9,326,941.15

Hence, video will receive way over 3 million reviews, a review of about 9,326,941, hence, it can be considered a viral video.

Answer:

sin β = sin(36.87) ≈ -0.73733168456

Step-by-step explanation:

The small angle in a 3-4-5 triangle is 36.87 and when you put that into a calculator you are left with roughly -0.73733168456.

Answer: (-30,30)

Step-by-step explanation:

f = -3,3, -3 times 10 = -30 and 3 times 10 = 30 etc

Answer:

Look at the image.

Step-by-step explanation:

Answer:

y^3 - 9y^2 + 26y - 29

Step-by-step explanation:

y - 4[y - 3(y - 2)] - 5

I'm going to separate it into parts

(y - 3)(y - 2)

y^2 - 5y + 6

(y - 4)(y^2 - 5y + 6)

y^3 - 5y^2 + 6y - 4y^2 + 20y - 24

y^3 - 9y^2 + 26y - 24

y^3 - 9y^2 + 26y - 24 - 5

y^3 - 9y^2 + 26y - 29

Answer:

19  dimes and  15  quarters.

Step-by-step explanation:

Lets substitute in the equation

565=10x+25(34-x)

565=10x+850-25x

15x=285

x=19

So...

34-19=15

Answer:

a. 880

Step-by-step explanation:

Options are "a. 880 b. 90 c. 790 d. None of these choices"

Interval estimate of between 790 and 970 books checked out per day.

Lower limit is 790, Upper limit is 970

Point estimate of μ(x) = [Upper limit + Lower limit} / 2

Point estimate of μ(x) = [970 + 790] / 2

Point estimate of μ(x) = 1760/2

Point estimate of μ(x) = 880

So, the efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is 880.

Answer:

need help asap

Step-by-step explanation:

Answer:

43.3

Step-by-step explanation:

45-5=40,

0.0825*40=3.3

40+3.3=43.3

Answer:

b=2.5-7.50

Step-by-step explanation: so 5 party hats cost 50 cents, so times that by 5 to get 2.50, and then use the 7.50 and minus it.

Answer:

Area= 90

Step-by-step explanation:

triangle area: (b x h) / 2

(12 x 15) / 2

(180) / 2

a= 90

Answer:

i

Step-by-step explanation:

Answer:

did you forget a picture?

Step-by-step explanation:

if you did, either add it in the comments, or make a new question

Answer:

28.6 units

Step-by-step explanation:

44/36=35/YZ

44 YZ = 35*36

44 YZ = 1260

YZ = 28.6 units

Answer:

14.75

Step-by-step explanation:

x = 1*1*0.5 = 0.5

y = 1.5*1.5 = 2.25

g = ((2.5+1.5)\2) * 2 = 4

t = 4*2 = 8

total = 0.5 +2.25 +4 +8  - 14.75

Answer: Maybe a

Step-by-step explanation:

I mean it is confusing but still look over it

Answer:

The bottom one looks correct

Step-by-step explanation:

Any number from 1-infinity will make that true

Answer:

Both ate the same amount of cake, there will be 6/8 or 3/4ths of the cake left.

Step-by-step explanation:

2/16 is equivalent to 1/8. Therefore they ate the same amount of cake.

Answer:

they ate the same amount 1/8 and 2/16 are the same thing.3/4

Step-by-step explanation:

they both ate 1/8  so 8/8-2/8=6/8=3/4 of the cake left

Hence, the approximate length of the ladder​ is [tex]12ft[/tex].

What is the approximation value?

An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.

A calculation can be approximated by rounding the values within it before performing the operations.

Here given that,

[tex](x)^2=(11.5)^2+(3.5)^2\\X^2=132.25+12.25\\X^2=144.5 \\X=\sqrt{144.5}\\X=12 feet[/tex]

Hence, the approximate length of the ladder​ is [tex]12ft[/tex].

To know more about the approximation value

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Answer:

x = 2.2

Step-by-step explanation:

2(x+4)+6 = 12x-8

Use distribution property

2x+8+6 = 12x-8

Combine like terms

2x+14 = 12x-8

Subtract 14 from both sides

2x = 12x-22

Subtract 12x from both sides

-10x = -22

Divide both sides by negative 10

x = 2.2 or x = 11/5 in fractions.

Hope this helps

Answer:

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Step-by-step explanation:

if:

a + b + c = 0

then we can rewrite:

c = -a - b

Now we can replace this in our expression:

[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]

Now we can rewrite:

(-a - b)^2 = a^2 + 2*a*b + b^2

Then we can rewrite our expression as:

[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]

Let's keep simplifying this:

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]

Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]

Then the expression is equal to -2

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Answer:

the rate at which the height of the box is decreasing is -0.0593 cm/s

Step-by-step explanation:

Given the data in the question;

Constant Volume of a rectangular box with a square base = 500 cm³

area of the base increases at a rate of 6 cm²/sec

so change in the area of the base with respect to time dA/dt = 6 cm²/sec

each side of the base is 15 cm long

so Area of the base = 15 cm × 15 cm = 225 cm²

the rate at which the height of the box is decreasing = ?

Now,

V = Ah

dv/dt = 0 ⇒ Adh/dt + hdA/DT = 0

⇒ dh/dt = -hdA/dt / A

we substitute

dh/dt = [ -( 500 / 225 ) × 6 ] / 225

dh/dt = [ -(2.22222 × 6)  ] / 225

dh/dt = [ -13.3333 ] / 225

dh/dt = -0.0593 cm/s

Therefore, the rate at which the height of the box is decreasing is -0.0593 cm/s

Answer:

[tex]k = 31[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x^2 - 2x^2 + kx + 5[/tex]

[tex]r = -10[/tex] --- remainder

[tex]d = 2x + 1[/tex] --- divisor

Required

Find k

We have:

[tex]d = 2x + 1[/tex] --- divisor

Equate to 0

[tex]2x + 1 = 0[/tex]

Solve for x

[tex]2x = -1[/tex]

[tex]x =-0.5[/tex]

This means that:

[tex]f(-0.5)=-10[/tex]

So, we have:

[tex]4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10[/tex]

[tex]0.5 -0.5k + 5 =-10[/tex]

Collect like terms

[tex]-0.5k=-10-5-0.5[/tex]

[tex]-0.5k=-15.5[/tex]

Solve for k

[tex]k = -15.5/-0.5[/tex]

[tex]k = 31[/tex]

Answer:

Ed's answer of [tex]\frac{3}{8}[/tex] is correct because he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer.

Step-by-step explanation:

To solve for m in [tex]\frac{2}{3}m=\frac{1}{4}[/tex] you want to isolate m by dividing by [tex]\frac{2}{3}[/tex] on both sides, therefore he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer of [tex]\frac{3}{8}[/tex], and his answer is correct.

Answer:

a) 0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) 0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) 0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

Step-by-step explanation:

We have the mean during an interval, which means that the Poisson distribution is used to solve this question.

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

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6.

This means that [tex]\mu = 0.6[/tex]

Find the probability that the number of major hurricane to strike U.S mainland in any any give year is:

a) Exactly one

This is P(X = 1). So

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

[tex]P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293[/tex]

0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) At most one

This is:

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

Then

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

[tex]P(X = 0) = \frac{e^{-0.6}*0.6^{0}}{(0)!} = 0.5488[/tex]

[tex]P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5488 + 0.3292 = 0.878[/tex]

0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) More than one

This is:

[tex]P(X > 1) = 1 - P(X \leq 1) = 1 - 0.878 = 0.122[/tex]

0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

9514 1404 393

Answer:

  $5.54

Step-by-step explanation:

 8.8% of $63 is ...

  0.088×$63 = $5.544

The tax is rounded to the nearest cent, so you would pay $5.54 in tax.

Answer: 5.54

Step-by-step explanation: khan said it was correct

Answer:

I think D

Hope this helps!!

Answer:

The maximum of the parabola lands at (2,5).

The coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.

The equation of Parabola is y=-x²+4x+1

The turning point (vertex) is the point where the derivative is equal to zero.

y=-x²+4x+1

Differentiate the equation

dy/dx=-2x+4

Now equate dy/dx with zero

dy/dx=0

-2x+4=0

-2x=-4

x=2

Now put x value in the equation

y=-(2)²+4(2)+1

y=-4+8+1

y=5

Hence the coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)

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Answer: no solution

Step-by-step explanation: