Analyze the diagram below and complete the instructions that follow.
8

Find the value of y.
A. y = 2
B. Y=4sqrt3/3
C. y = 4
D. Y=4sqrt3

The approximate x-coordinates of the points of intersection of the given curves are 0 & 1.76, and the volume of the solid when rotated about the x-axis is 3.15 cubic units

The equations are given as:

y = ∛2x - x²

y = x²/(x² + 1)

See attachment for the graph of the above curves (equation)

From the attached curve, we have the following points of intersection

(x,y) = (0,0) and (1.76,0.76)

Remove the y coordinates

x = 0 and 1.76

Hence, the approximate x-coordinates of the points of intersection of the given curves are 0 and 1.76

The volume of the solid is calculated using:

V = π(R² - r²)

Where R and r are the outer and the inner radii, respectively.

In this case;

R = ∛2x - x²

r = x²/(x² + 1)

Using a calculator, we have:

V = 3.15

Hence, the volume of the solid when rotated about the x-axis is 3.15 cubic units

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The element x is an illustration of sets and the true statements about x are: x ∈ B ∪ C, x ∈ B ∩ C and x ∈ A ∪ C

From the Venn diagram in the complete question, we have the following highlights:

The above means that:

The element is a common element in the intersection of sets B & C and in the union of sets B & C.

This is represented as:

x ∈ B ∪ C and x ∈ B ∩ C

Also, we can say that the element is a common element in the union of sets A & C and in the union of sets A & B.

This is represented as:

x ∈ A ∪ B and x ∈ A ∪ C

Hence, the true statements about x are: x ∈ B ∪ C, x ∈ B ∩ C and x ∈ A ∪ C

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Answer:

a) a= 5 m/s^2

b) P(t) = 2.5 t^2 + 11 t + 6

Step-by-step explanation:

The velocity function is V(t) = a*t + Vo

In this case: V(t) = 5t + 11

It means the constant acceleration a = 5 m/s^2

while the initial velocity (at time t=0s) is 11 m/s

The position function is:

P(t) = 1/2 A*t^2 + Vo*t + Po

In this case:

P(t) = 2.5 t^2 + 11 t + 6

Answer:

605*2/5=121*2=242 miles so B would be the answer

Step-by-step explanation:

Answer:

[tex]937.5 m x^{2} \\1369 cm x^{2} \\276mx^{2} \\17500mx^{2} \\270cmx^{2}[/tex]

Step-by-step explanation:

Soulution : Area of a triangle { Area Of A Triangle = 35m x 25m x 1/2 = [tex]437.5mx^{2}[/tex]  bottom x height x 1/2 }

Area of the squear ( [tex]37cmx^{2}[/tex] ) = [tex]1369cmx^{2}[/tex]  { Area of square = ( [tex]sidex^{2}[/tex]) }

Area of the rombus 1209 x 23m = [tex]276mx^{2}[/tex]

Area of the rectangle 175m x 100m = [tex]17500mx^{2}[/tex]

Area of the parallelogram 18cm x 15cm = [tex]270cmx^{2}[/tex]

2352

hope it helps...!!!

Answer:

2352

Step-by-step explanation:

If you divide 2352 by 42, the quotient would be 56.

This can easily be solved knowing what inverse operations are.

42 * 56 = 2352

Therefore,

2352 / 42 = 56

More info can be found searching inverse operations.

First of all, we need to find the slope. In order to find the slope, we'll use the following formula :

[tex]\boxed{\\\begin{minipage}{2cm}slope \\ $\displaystyle\frac{y2-y1}{x2-x1}$\end{minipage}}[/tex]

[tex]\boxed{\\\begin{minipage}{2cm}$\displaystyle\frac{-31-35}{-6-5}$ \\ \end{minipage}}[/tex]

[tex]\boxed{\\\begin{minipage}{2cm}$\displaystyle\frac{-77}{-11} \\ \end{minipage}}[/tex]

Which simplifies to :

[tex]\text{Slope = 7 }[/tex]

Now that we know the slope, finding the point-slope equation is a piece of cake.

Remember Point-Slope :

[tex]\text{y - y1 = m(x-x1)}[/tex]

We're told to use the first point (5, 35) in our equation, so we'll do just that.

[tex]\LARGE\text{y - 35=7(x-5)}[/tex]

[tex]\mathsf{equation\:above}[/tex]

hope helpful ~

Answer:

There is no question given here.

Answer:

u = 44/13

Step-by-step explanation:

Step 1. Cross multiply

Step 2. Simplify each side

Step 3. Isolate variable

[tex]\frac{13}{11} =\frac{4}{u}[/tex]

[tex]13u=(4)(11)[/tex]

[tex]13u=44[/tex]

[tex]u=44/13[/tex]

Answer:

ok so this is a combination of the pyatrom theorm and algrebra

16^2+28^2=(x+10)^2

1040=x2+100

940=x2

x=30.66

Hope This Helps!!!

Answer:

Step-by-step explanation:

Before finding the value of x which is the base in the right triangle, we must have to find the perpendicular in the left angle triangle.

So, In the left triangle,

→ (Base)² + (Perpendicular)² = (Hypotenuse)²

→ (10)² + (Perpendicular)² = (16)²

→ (Perpendicular)² = (16)² – (10)²

→ (Perpendicular)² = 256 – 100

→ (Perpendicular)² = 156

→ Perpendicular = √(156)

→ Perpendicular = 12.4

Now, In the right triangle, we have :

→ (Base)² + (Perpendicular)² = (Hypotenuse)²

→ (x)² + (12.4)² = (28)²

→ (x)² = (28)² – (12.4)²

→ (x)² = 784 – 153.7

→ (x)² = 630.3

→ x = √(630.3)

→ x = 25.1

Therefore,

Answer:

$72,839.17

Step-by-step explanation:

[tex]19378( {1.18}^{8} ) = 72839.17[/tex]

Answer:

x=1/4, y=-1/2, z=1/3

Step-by-step explanation:

the answer can't be understood through typing check the age above

-8x+3y=28

4x-y=-12

Step-by-step explanation:

Let's find x and y from matrices and then check for this systems.

[tex]\left \[[ {{\frac{1}{4} *28-\frac{3}{4}-12 } \atop {1*28-2*12}} \right.][/tex]

Simplify, so we got

7-9

28-24

------

So x=-2

y=4

So we need to put those values and check system.

Answer:

87,516 ways

Step-by-step explanation:

Given

Solving

Answer:

Putangina mo tama naman yung sa taas eh

Answer:

i will prefer fotbal and socer

Step-by-step explanation:

The formula for the area of a triangle is Area = 1/2 x base x height.

The base is given as 11 yards and the height is the dashed line given as 5 yards.

Area = 1/2 x 5 x 9 = 22.5 square yards.

Answer:

? = −0.6

Step-by-step explanation:

If you preform the opposite operation, you get what ? equals.

-2.1 + 1.50 = -0.6

1 is c

2 is d

3 is a

4 is e

5 is b

^● ●^

Answer:

The outcomes of his 40 experiments are listed in the table, according to him there were 13 times there were two tails. Now simply multiply that times three considering the amount of expirement was tripled.

13 times 3 = 39

Answer:

x = 7.2

Step-by-step explanation:

x is the hypotenuse

applies cosine

[tex]cos(33^{o} )=\frac{6}{x}[/tex]

[tex]x=\frac{6}{cos(33^{o} )} =7.154[/tex]

Round to the nearest tenth:

x = 7.2

Hope this helps

Answer:

4 minutes

Step-by-step explanation:

There are 60 seconds in 1 min

240÷60=4

Step-by-step explanation:

green = surface area

Volume = 9/5 × 2/3

= 1.2 unit³

Answer:

[tex]x=\frac{3}{8},\:x=0[/tex]

Step-by-step explanation:

[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}}{2\cdot \:8}[/tex]

[tex]\sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}[/tex]

[tex]=\sqrt{3^2-4\cdot \:8\cdot \:0}[/tex]

[tex]\sqrt{3^2}[/tex]

3

[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \:3}{2\cdot \:8}[/tex]

Separate the solutions:

[tex]x_1=\frac{-\left(-3\right)+3}{2\cdot \:8},\:x_2=\frac{-\left(-3\right)-3}{2\cdot \:8}[/tex]

[tex]x=\frac{3}{8},\:x=0[/tex]

Answer:

a tax on certain imported or exported goods is tariff

a tax based on a percentage of an individual's income is income

a tax on wages to fund programs such as Social Security is payroll

a tax based on the value of a home, land, or an office building is property

Step-by-step explanation:

Answer:

(2) x [tex]\geq \\[/tex] 4

Step-by-step explanation:

Given the sqrt(x),  x [tex]\geq \\[/tex] zero

So, given sqrt(x -4),  x -4 [tex]\geq \\[/tex] 0

Now solve for x

x - 4 [tex]\geq \\[/tex] 0

x [tex]\geq \\[/tex] 4

Using the binomial distribution, it is found that there is a 0.38 = 38% theoretical probability that all 6 bulbs will last for 4 months.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

The probability that all 6 bulbs will last for 4 months is P(X = 6), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{6,6}.(0.85)^{6}.(0.15)^{0} \approx 0.38[/tex]

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Caroline paid 14% of the cost of the dinner as a tip.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Extra pay or tip = 25.08 - 22
                        = $3.08

Now,
Percentage of tip corresponding to the bill amount,
= 3.08 / 22 × 100
= 14%

Thus, Caroline paid 14% of the cost of the dinner as a tip.

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The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is  (x,y) = (5,-4)

Suppose that there is a line segment [tex]\overline{AB}[/tex]such that a point P(x,y) lying on that line segment [tex]\overline{AB}[/tex] divides the line segment  [tex]\overline{AB}[/tex] in m:n, then, the coordinates of the point P is given by:

[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)[/tex]

where we have:

We're given that:

Let the coordinate of P be (x,y), then we get the values of x and y as:

[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{3(9) + 1(-7)}{3+1} , \dfrac{3(-6) + 1(2)}{3+1} \right)\\\\(x,y) = \left( \dfrac{20}{4} , \dfrac{-16}{4} \right) = (5,-4)[/tex]

Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is  (x,y) = (5,-4)

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10^6 can be expanded as follows: 10 x 10 x 10 x 10 x 10 x 10

1 stays the same, and there are 6 zeroes (the same number as the exponent)

10^6 = 1000000

Correct Answer: C, 1000000

Hope this helps!

Answer:

C. 1,000,000

Step-by-step explanation:

10¹ = 10

10² = 100

10³ = 1,000

10⁴ = 10,000

10⁵ = 100,000

10⁶ = 1,000,000