If the spinner below is spun twice, find the probability that it lands on N, then a vowel.

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Answer:

Question 3

Find the range of the function for the domain 2 < x < 3

[tex]f(2)=(2)^2-1=3[/tex]

[tex]f(3)=(3)^2-1=8[/tex]

Therefore, the range of [tex]f(x)=x^2-1[/tex] is [tex]3 < f(x) < 8[/tex] with domain 2 < x < 3

This means that for the function to be continuous, when the domain is x=3, f(x) = 8

[tex]f(3)=2a(3)=6a[/tex]

[tex]\implies 6a=8\implies a=\dfrac43[/tex]

Similarly, when the domain is x > 3, f(x) > 8

[tex]f(3)=b(3)-4=3b-4[/tex]

[tex]\implies 3b-4 > 8 \implies b = 4[/tex]

Therefore, [tex]a=\dfrac43[/tex] and b = 4

Question 5

[tex]\textsf{let}\:u=\ln (x)[/tex]

[tex]\implies \dfrac{du}{dx}=\dfrac{1}{x}\implies dx=x\:du[/tex]

[tex]x=1\implies u=0[/tex]

[tex]x=3 \implies u=\ln 3[/tex]

[tex]\implies \displaystyle \int\limits_{1}^{3} \dfrac{\ln x \sin (\ln x)}{x} \,\:dx=\displaystyle \int\limits_{0}^{\ln 3} \dfrac{u \sin u}{x} \, \cdot x\:du=\displaystyle \int\limits_{0}^{\ln 3} (u \sin u) \, \:du[/tex]

Use integration by parts:

[tex]\displaystyle \int u\dfrac{dv}{dx} \, dx=uv- \displaystyle \int v \dfrac{du}{dx} \, dx[/tex]

[tex]\textsf{where}\:u=u\:\textsf{and}\:\dfrac{dv}{dx}=\sin u[/tex]

[tex]\implies \dfrac{du}{dx}=1\:\textsf{and}\:v=\int \sin u=-\cos u[/tex]

[tex]\implies \displaystyle \int\limits_{0}^{\ln 3} (u \sin u) \, \:du=-u \cos u- \int\limits_{0}^{\ln 3}-\cos u \,\:du[/tex]

[tex]\begin{aligned}\implies \displaystyle \int\limits_{0}^{\ln 3} (u \sin u) \, \:du & =\left[-u \cos u+ \sin u\right]_{0}^{\ln 3}\\ & =[- (\ln 3) \cos (\ln 3)+ \sin (\ln 3)]-[-0 \cos (0)+ \sin (0)]\\\\ & =[- (\ln 3) \cos (\ln 3)+ \sin (\ln 3)]-0\\\\ & = 0.3908925527...\end{aligned}[/tex]

Answer:

70/100 ; 3/10 ; 50/100

Step-by-step explanation:

You need to multiply numbers to make them equivalent.

1st Question:

7/10 has to multiply by 10/10 because the denominator of the other one is 100 and 10 x 10 is 100.

7 x 10 = 70

70/100 shall be your answer.

2nd Question:

This time you need to find your starting point.

A way to do this is to divide/simplify the fraction in order to make it equivalent.

You need to divide by 10 because your quotient and denominator at your starting point is 10 and 100/10 is 10.

30 divided by 10 is 3

Your Answer for this one is: 3/10

3rd Question:

Same thing as the 1st one.

Multiply by 10.

5 x 10 = 50

50/100 is your answer.

Answer:

-50 is your answer it is really easy just try to get -50

Answer:

69.5 cm

Step-by-step explanation:

Area trapezoid = 1/2 (b1+b2) * h = 7367

1/2(127+85) h = 7367     h=

Answer:

  $545

Step-by-step explanation:

Finding the price that maximizes profit requires several steps. We need the demand function that tells quantity sold in terms of selling price. With this, we can express the cost and revenue functions in terms of selling price. The profit will be the difference between revenue and cost.

__

The demand (q) is said to be a linear function of price (p). The equation for that can be written ...

  q(p) = (q2 -q1)/(p2 -p1)(p -p1) +q1 . . . . . for two points (p1, q1) and (p2, q2)

Using the given demand points, this can be ...

  q(p) = (1900 -2600)/(575 -470)(p -470) +2600

  q(p) = -20/3(p -470) +2600

  q(p) = -20/3p +5733 1/3

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The cost function in terms of selling price can be found by substituting the q(p) equation for x in c(x). For the purpose of finding the maximum profit, we only need the marginal cost function:

  c(q(p))' = c'(q(p))·q'(p) = (608 -0.18(q(p)))·(-20/3) = (608 -0.18(-20/3p +5733 1/3))(-20/3)

  c'(p) = -8p +2826 2/3

__

As with cost, the function we need for finding the maximum profit is the marginal revenue function. Revenue is the product of price and demand, so the marginal revenue is ...

  r(p) = p·q(p)

  r'(p) = q(p) +p·q'(p) = (-20/3p +5733 1/3) +p(-20/3)

  r'(p) = -40/3p +5733 1/3

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The maximum profit is found where the marginal profit is zero. In turn, that is found where the difference between marginal revenue and marginal cost is zero:

  P = R -C

  P'(p) = 0 = r'(p) -c'(p) = (-40/3p +5733 1/3) -(-8p +2826 2/3)

  0 = -16/3p +2906 2/3

  16p = 8720 . . . . . multiply by 3, add 16p

  p = 545 . . . . . . . price for maximum profit

The price per set that maximizes profit is $545.00.

[tex]tan (M) = \frac{side-opposite-angle-M}{side-adjacent-angle-M} =\frac{8\sqrt{2} }{4} =2\sqrt{2}[/tex]

Hope that helps!

ps. I attached a sheet of trigonometry identities

Answer:

Step-by-step explanation:

There's a saying to this kind of equation: Rate + Time = Distance and B best fits the saying, so B must be right (Don't quote me on that, it may be wrong)

the linear equation that can be used to find the distance that Eric travels each day is A. d = rt & the total distance that Eric travels each day is C. 112.5 miles.

Speed is measured as distance moved over time.

here, given that,

He drives at a rate of 75 mph on the interstate for a total of 1.5 hours.

so, the linear equation that can be used to find the distance that Eric travels each day is A. d = rt

i.e. d= 75*1.5

      =112.5

& the total distance that Eric travels each day is C. 112.5 miles.

To learn more on speed click:

brainly.com/question/28224010

#SPJ2

The percentage of households that were not watching the show were 46.81%.

In this case, we need to find the percentage of households that don´t watch the show. First, we need to know how much households don´t watch the show, this is:

[tex]94,000,000-50,000,000=44,000,000[/tex]

So, the households that were not watching the show were 44 million.

Now we can calculate the percentage, to find a percentage we use a division and to introduce the percentage units we multiply by 100.

The percentage of households that were not watching the show were 46.81%.

Answer:

True

Step-by-step explanation:

The surface area of a cube is the total area on each side of the cube. SInce there are 6 sides of a cube, the surface area is equal to six times the area of one of the sides, because they are all the same.

The area of the property is the product of its dimensions, and the expression for the area is (x + 10)²

The area of the land is the product of its dimensions.

Let the length and the width of the land be x.

So, the area measured by the appraisal is:

Area = x²

One side of the land is 10 more than the measured length.

So, we have:

Area = (x + 10)²

Substitute 12 for x

Area = (12 + 10)²

Evaluate

Area = 484

Hence, the area of the property is 484

Read more about area at:

https://brainly.com/question/14137384

Answer:36

Step-by-step explanation:

x2 - 10x + 25 = 0 2x2 - 2x - 5 = 0 x2 - 16x = 36. This problem has been solved!

Answer:

5 faces

Step-by-step explanation:

A traingular prism has 5 faces. The square on the bottom and the four traingles that make up the sides.

hope this helps :)

Answer:

5

8

5

step by step

Love your pfp

Answer:

2 reflection across the y axis

Answer:

a₁₂ = 106

Step-by-step explanation:

Given

Formula for nth term

Using that to expand a₆ and find d

Finding a₁₂

Answer:

[tex]a_{12}=106[/tex]

Step-by-step explanation:

Arithmetic sequence

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

Given:

To find the common difference (d), substitute the given values into the general formula and solve:

[tex]\begin{aligned}\implies a_6=(-4)+(6-1)d & =46\\ 5d-4 & =46\\ 5d & = 50\\ d & =10\end{aligned}[/tex]

Therefore, the equation for the nth term is:

[tex]\begin{aligned}a_n &=-4+(n-1)10\\& =10n-14 \end{aligned}[/tex]

To find the 12th term, substitute n = 12 into the equation:

[tex]\implies a_{12}=10(12)-14=106[/tex]

[tex] \frac{ab}{de} = \frac{bc}{ef} = \frac{ac}{df} [/tex]=k

[tex] \frac{6}{18} = \frac{12}{ef} [/tex]

[tex]ef = 36[/tex]

[tex] \frac{12}{36} = \frac{ac}{15} [/tex]

[tex]ac = 5[/tex]

[tex] \frac{6}{18} = \frac{12}{36} = \frac{5}{15} = \frac{1}{3} [/tex]

I hope it helps

Hey there!

Substitute x = 2 to y = 3x - 1

=> y = 3(2) -1

=> y = 6 - 1

=> y = 5

x = 2,y = 5

Answer:

The volume formula is length x width x height. 7x5x12=420 cubic inches

Step-by-step explanation:

Answer:

Examples of 2D shapes

2D Shape Properties

Pentagon A shape with five sides and five equal angles.

Kite A quadrilateral with two pairs of sides of the same length.

Rhombus A quadrilateral with both pairs of opposite sides parallel and all sides of the same length. Unlike a square, however, its angles are not all 90˚.

Step-by-step explanation:

Using sampling concepts, it is found that convenient sampling was used by the researcher to find the volunteers to participate.

Samples may be classified as:

In this problem, the first 100 male and first 100 female students sampled are the ones who volunteer to participate, and volunteering is associated with convenient sampling.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

tbh I'm in 6 grade-_- and it's maybe higher than 10$

Answer:

[tex]3 \leqslant - 3[/tex]

Answer:

6/7

Step-by-step explanation:

you juts switch the top and bottom

Brainleist please

Answer:

c:) 150 in²

Step-by-step explanation:

It's basically and SAS triangle

SAS is Side, Angle, Side

side 15 in angle 90° and 20 in

a = 20 in

b = 25 in

c = 15 in

Angles:

A = 53.1301 °

B = 90 °

C = 36.8699 °

Other:

P = 60 in

s = 30 in

K = 150 in2

r = 5 in

R = 12.5 in

Agenda:

A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

Answer:

x ≤ 2

Step-by-step explanation:

4.5 = medium ice cream

0.75x = toppings, x = amount of toppings

Sophia has $6.4, so 4.5+0.75x has to be less or equal to that.

4.5 + 0.75x ≤ 6.4, solve

0.75x ≤ 1.9

x ≤ 2 8/15

BUT you cannot get half a topping or a fraction of a topping,

so, x ≤ 2 toppings.

Sophia can get 2 or less toppings.

Answer:

Your answer is D 16 cu, cm

Step-by-step explanation:

Hey there!

41/40 - 3/8

= 41/40 - 3 × 5 / 8 × 5

= 41/40 - 15/40

= 41 - 15 / 40 - 0

= 26 / 40

= 26 ÷ 2 / 40 ÷ 2

= 13 / 20

Therefore, your answer is: 13/20

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

To write the equation in slope-intercept form

  ⇒ must know what is the slope-intercept form

       ⇒ [tex]y = mx + b[/tex]

Let's find the slope first:

   ⇒ must know the slope's formula

       ⇒ [tex]\frac{y2-y1}{x2-x1}[/tex]

          ⇒ [tex]\frac{0-1}{-3-0}=\frac{-1}{-3} =\frac{1}{3}[/tex]

Now let's find the y-intercept

  ⇒ which occurs where the x-value of the coordinate is 0

    ⇒ that point is (0,1)

       ⇒ thus b = 1

Now let's set up the equation in slope-intercept form

     [tex]y = \frac{1}{3} x+1[/tex]   <-- Answer

Hope that helps!

Answer:

y-1/3x+1:

hope it helped

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=12\\ \theta = 70 \end{cases}\implies \begin{array}{llll} A=\cfrac{(70)\pi (12)^2}{360}\implies A=28\pi \\\\\\ A\approx 87.96~cm^2 \end{array}[/tex]

Answer:

56 degrees

90-34=56

Right-angle triangle, so the 2 angles should add to 90 to make 180 degrees

Hope this helps!