Interval 0 to 10.5 f(x) dx = 9, interval 0 to 3.5 f(x) dx = 2, and interval 7 to 10.5 f(x) dx = 3, how do I find interval 3.5 to 7 (5f(x)-3) dx?

Answer:

Step-by-step explanation:

If you multiply top and bottom of 7/2 by 2 as in (7 *2) / (2 * 2) = 14 /4

If you multiply 7/2 top and bottom by 4, you get 28/8

So 14/4 and 28/8 are both the same as 7/2

Step-by-step explanation:

there are 50 students and 5 prizes (1 + 1 + 3).

so, already in natural language we would say "there is 1 prize for every 10 students".

formally, remember the rule of probability : desired outcomes over total possible outcomes.

this is here

5/50 = 1/10 = 0.1

your can see it also this way :

if there was only 1 prize, each student would have a chance of 1/50 of winning.

now there are 5 prizes, which gives everybody 5 times the chance of winning. which is then 5×1/50 = 5/50 = 0.1

Answer:

Area of a sphere

Radius

15 m

Diameter

30 m

Volume

14,137 m³

Surface to volume ratio

0.2 1/m

Surface area

2,827.4 m²

Step-by-step explanation:

The volume of the cylinder container is the amount of milk in it

The most accurate measurement for the radius is 3 inches

The given parameters are:

The volume of a cylinder is:

V = πr²h

So, we have:

πr² * 8 = 231

Divide both sides by 8π

r² = 9.19

Take the square root of both sides

r = 3.03

Approximate

r = 3

Hence, the most accurate measurement for the radius is 3 inches

Read more about volume at:

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Answer: 120 degrees

Step-by-step explanation:

Answer:

350 points are possible

Step-by-step explanation:

You take 329 divided by 94% or .94 to get 350.

100% of 350 is 350

To double check, 94% of 350 is 329 & 6% of 350 is 21.  329 +21 = 350

Answer:

-10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

(3+(-7))+(-6)

=3-7+-6

=3-7-6=-10

Answer:

0.000299 in scientific notation

2.99 × 10-4

Step-by-step explanation:

To convert 0.000299 into scientific notation also known as standard form, follow these steps:

Move the decimal 4 times to right in the number so that the resulting number, m = 2.99, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -4

Write in the scientific notation form, m × 10n

= 2.99 × 10-4

Answer:

0.000299

2.99 × 10^-4.

Step-by-step explanation:

#GH

[tex]\\ \rm\Rrightarrow \dfrac{GH}{FG}=\dfrac{TS}{TU}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{GH}{36}=\dfrac{42}{28}=\dfrac{3}{2}[/tex]

[tex]\\ \rm\Rrightarrow GH=108/2=54[/tex]

#UV

[tex]\\ \rm\Rrightarrow \dfrac{UV}{TU}=\dfrac{JF}{FG}[/tex]

[tex]\\ \rm\Rrightarrow\dfrac{ UV}{28}=\dfrac{63}{36}=\dfrac{21}{12}=\dfrac{7}{4}[/tex]

[tex]\\ \rm\Rrightarrow UV=7(28)/4=7(7)=49[/tex]

#VW

[tex]\\ \rm\Rrightarrow \dfrac{VW}{SW}=\dfrac{IJ}{IH}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{VW}{35}=\dfrac{27}{45}=\dfrac{3}{5}[/tex]

[tex]\\ \rm\Rrightarrow VW=3(35)/5=3(7)=21[/tex]

FGHIJ ≅ UTSWV

making proportional equations

Answer:

x = 1.

Step-by-step explanation:

[tex]\frac{1}{3}(6x-3)-\frac{1}{4}(20x+8)=-6\\\\[Distribute the first fraction into the parenthesis.]\\((\frac{1}{3}*6x)-(\frac{1}{3}*3))-\frac{1}{4}(20x+8)=-6\\\\2x-1-\frac{1}{4}(20x+8)=-6\\\\[Distribute the second fraction into the parenthesis.]\\2x-1-((\frac{1}{4}*20x)+(\frac{1}{4}*8))=-6\\\\2x-1-5x-2=-6\\\\[Combine like terms.]\\-3x-3=-6\\\\[Add 3 to both sides.]\\-3x=-3\\\\[Divide both sides by -3.]\\x=1[/tex]

Answer:

417.831823 [tex]in^{2}[/tex]

Step-by-step explanation:

surface area of cone ;

[tex]=\pi r^{2}+\pi rl\\ =\pi (7^{2}) +\pi (7)(12)=417.831823 in^{2}[/tex]

Answer:417.831823

Step-by-step explanation:

Answer:

-30

Step-by-step explanation:

Using 'y' is vary inversely to 'x', the value of x₂ = -27.

The word inverse in mathematics "a function or operation which reverses the order or operation of another function or operation".

According to the question,

x₁ = 36,  y₁ = -6, y₂ = 8 and x₁ is inversely proportional to y₁ which mean

(x₁) (y₁) = k

(36)(-6)  = -216.

Formula for inverse is x = k([tex]\frac{1}{y}[/tex]).

In order to find x₂, x₂ = -216(1/8)

x₂ = -27

Hence, the value of x₂ = -27.

Learn more about inverse proportional here

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#SPJ2

Answer:

10 sqrt 3

Step-by-step explanation:

sqrt (30) * sqrt (10) = sqrt (300) = sqrt ( 4 * 25 * 3) = 10 sqrt 3

Answer: [tex]f(x)=2x^2+5[/tex]

Step-by-step explanation:

First integrate f'(x) so we can find the funtion f(x):

[tex]4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)[/tex]

The initial conditions say that when x = 0, the function equals 5. Let's write that down:

[tex]f(0)=5=2(0^2)+C=C[/tex]

Therefore, the integration constant 'C' must equal 5. This means that our function is:

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

Answer:

2800 ft³

Step-by-step explanation:

The required volume of given figure is 2800 ft³

I hope it helped you

Answer:

4*10 = 40

43/5 = 8.6

40 + 8.6 = 48.6 candy in total.

Hi there!

We have the numbers:

79  85  98  125  140

From the data, we can see that '98' is the median value as it is exactly in the middle. We can then split the data into equal groups on both sides of the median.

79  85

125  140

Since there are only two numbers, we can find the median of EACH sub-group (Q1 and Q3 respectively) by taking the average.

Q1 = (79 + 85)/2 = 82

Q3 = (140 + 125)/2 = 132.5

The IQR is simply the difference between Q3 and Q1, so:

IQR = 132.5 - 82 = 50.5

Answer:

12x + 16y = 3700

x + y = 250

x = 75 students

y = 175 adults

Step-by-step explanation:

y = 250 - x

12x + 16(250-x) = 3700

12x + 4000 - 16x = 3700

-4x = -300

x = 75

y = 250 - 75

y = 175

Answer:

21 and 35

Step-by-step explanation:

21 for the first box, when it is in parenthesis you multiply each, so then 35 for the second box

7 times 3 then 7 times 5

4x + 8 > -x - 7

4x + x > - 7 - 8

5 x > - 15

x > -3

x > -3

4x + 8 > -x - 7

4x + x > -7 - 8

5x > -15

5x ÷ 5 > -15 ÷ 5

x > -3

☆...hope this helps...☆

General form of a quadratic equation: [tex]ax^2+bx+c[/tex]

  ⇒ since the equation: [tex]-x^2-2x+8[/tex]

     ⇒ so:

To calculate the x-coordinate of the vertex

  ⇒use x = [tex]-\frac{b}{2a}[/tex]   <--- this is a property that helps you find the vertex of the

                                 quadratic

      x = [tex]-\frac{(-2)}{2*(-1)} =-1[/tex]

Since x = -1:

    ⇒ we can plug in this x-value into the original equation to find the y-

         value

          [tex]y =-(-1)^2-2(-1)+8=-1+2+8=9[/tex]

So the coordinate of the vertex: (-1,9)

Hope that helps!

Answer:

The answer would be true

Step-by-step explanation:

[tex]1=5-4+3-2-1[/tex]

[tex]1=1+1-1[/tex]

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

[tex]1=1[/tex]

Answer:

Step-by-step explanation:

[tex]\sf a^{m}*a^{n} =a^{m +n}\\\\a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]

[tex]\sf a^{-n}=\dfrac{1}{a^{n}}\\\\\dfrac{a^{n}}{a^{m}}=a^{n-m}\\\\\\a^{0}=1[/tex]

[tex]\sf (a^{n})^{m} = a^{n*m}\\\\(a^{n}*b^{m})^{p}=a^{np}b^{mp}\\\\(ab)^{n}=a^{n}b^{n}[/tex]

Answer:

1. Choclate Drink

2. Coffee

3. 19 % difference

4.  1 % difference

5. 42% difference

Step-by-step explanation: