PLS HELP!!! there are 72 students in a speech contest. yesterday, 1/3 of them gave their speeches. today, 5/6 of the remaining students gave their speeches. How many students still haven't given their speeches?

Answer:

Um is it 2/4 of the job that is completed

???

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

45/100 × 72 = 32.4

45/72 × 100 = 62.5

62.5 ≠ 32.4

Answer:

false

Step-by-step explanation:

45/100x72=32.4%

45/72X100=62.5%

5(3y-1)-3(2y)=7

15y -5 -6y = 7

9y = 12

y = 4/3

Answer:

760 music books per each 5 years

Step-by-step explanation:

The density is constant, we can pull it out of the integral. So, we have: mass = density * integral of area. To find the mass of the plate, we can integrate the area times the density.

Since the curve \(y = x^2\) is a function of x, we can use the following formula to find the area between the curve and the x-axis:

area = integral from a to b of [f(x) - g(x)] dx where f(x) is the upper function (in this case, \(y = x^2\)),

g(x) is the lower function (the x-axis), and a and b are the limits of integration (0 and 2, in this case).

So, we have: area = integral from 0 to 2 of [\(x^2\) - 0] dx= integral from 0 to 2 of \(x^2 dx= [x^3/3]\)

from 0 to \(2= (2^3/3) - (0^3/3)\)

= 8/3 \(cm^3\)

Now we can find the mass:

mass = density * area= 3 g/\(cm^2\) * (8/3) \(cm^3\)= 8 g

So the total mass of the plate is 8 g.(b)

To sketch the plate, we need to plot the curve \(y = x^2\) and shade in the region bounded by the curve and the x-axis from x = 0 to x = 2.

This region is a parabolic shape with a base of 2 cm and a height of 4 cm (since \(y = x^2\) and y = 0 when x = 0 and x = 2).

So the area of the plate is a triangle with base 2 cm and height 4 cm, which has an area of (1/2)bh = (1/2)(2 cm)(4 cm) = \(4 cm^2\).

Since the density of the plate is 3 g/\(cm^2\), the mass is:

mass = density x volume= density x area x thickness.

Since the thickness is not given, we can't find the mass directly. However, we can say that the mass is proportional to the thickness, so if we double the thickness, the mass will double as well.

Therefore, we can't say whether a is greater than or less than 1.

(c) The moment of inertia of the plate about the x-axis is given by:

Ix = density * integral from a to b of y * (distance from y to x-axis)\(^2 dy\)

Since the plate has constant density,

we can factor it out of the integral:

Ix = density * integral from a to b of y * (distance from y to x-axis)^2 dy= density * integral from 0 to 2 of x^4 dx

= density * \([x^{5/5}]\) from 0 to 2

= density * \((2^{5/5})\)

= (3 g/\(cm^2\)) * \((32/5) cm^5\)

= 96/5 g \(cm^2\)

So

a = Ix/mass = (96/5) g \(cm^2\) / 8 g

= 12 \(cm^2\).

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Answer:

a segment

Step-by-step explanation:

The inequality presented corresponds to a closed interval.

Answer:

7

Step-by-step explanation:

49(waterballoons) divided by 7=7groups

Answer:

C. 90°

Step-by-step explanation:

In circle with center P, Segment QR is tangent to circle P at point Q and PQ is radius of the circle.

\( \therefore PQ \perp QR... (\because radius \perp tangent) \\

\therefore m\angle PQR = 90\degree \)

The volume of the figure is the sum of the volume of the square prism and the volume of the square pyramid which is 67.2cm³

To calculate the volume of the figure, we need to find the volume of the square prism and the volume of the square pyramid.

The volume of a square prism is given as;

V = L³

V = 4³

V = 64cm³

The volume of the square pyramid is given as;

V = 1/3lh

V = 1/3 * 4 * 2.4

V = 3.2cm³

The volume of the figure is 64cm³ + 3.2cm³ = 67.2cm³

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\(\cfrac{1}{5}\cdot 80\implies 16\hspace{18em}\underset{ sale~price }{\stackrel{80~~ - ~~16 }{\text{\LARGE 64}}}\textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 80}}{\left( \cfrac{10}{100} \right)80}\implies 8\hspace{5em}\underset{ sale~price }{\stackrel{80~~ - ~~8 }{\text{\LARGE 72}}} \\\\[-0.35em] ~\dotfill\\\\ ~\hspace{23em}\underset{ sale~price }{\stackrel{80~~ - ~~15 }{\text{\LARGE 65}}}\)

Answer:

Step-by-step explanation:

the answer is No its not similar

because the factors don't work

It should be noted that since the rabbit from the previous problem started at 10, it would be at 17 units on the number line after the same three jumps.

A number line is a type of graph with a graduated straight line which comprises both positive and negative numerical values. From the previous problem, the total distance covered by the rabbit is given by:

Total distance = 4 units + 2 units + 1 unit

Total distance = 7 units.

Since the second point is at 10 units and the open circle arrow points to the right of the number line, the rabbit would cover 7 more distance from this point:

Total distance = 10 units + 7 units

Total distance = 17 units.

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The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;

8. \(\overline {ST}\) is parallel to \(\overline{PR}\)

9. \(\overline{ST}\) is parallel to \(\overline{PR}\)

10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)

11. x = 57.6

12. x = 25.8

13. x = 11

14. x = 10

15. x = 5

16. x = 17

Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.

8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625

Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)

9. The ratio of the sides the parallel side to the base divides the other two sides are;

33/41.8 = 15/19

45/(102 - 45) = 45/57 = 15/19

Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)

10. The ratio of the sides the segment \(\overline{ST}\)  bisects the other two sides are;

24/57 and 19/38

24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)

Second part; To solve for x

11. x/30 = 48/25

x = (48/25) × 30 = 57.6

x = 57.6

12. x/34.4 = (49 - 28)/28

x = 34.4 × (49 - 28)/28 = 25.8

x = 25.8

13. (2·x + 6)/52.5 = 32/60

(2·x + 6) = 52.5 × (32/60)

x = (52.5 × (32/60)) - 6)/2 = 11

x = 11

14. (x - 3)/21 = (x - 1)/27

27·x - 27 × 3 = 21·x - 21

27·x - 81 = 21·x - 21

6·x = 60

x = 60 ÷ 6 = 10

x = 10

15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)

15/20 = (4·x - 2)/(7·x - 11)

15 × (7·x - 11) = 20 × (4·x - 2)

105·x - 165 = 80·x - 40

105·x - 80·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

x = 5

16. (x - 3)/35 = 4/(x - 7)

(x - 3) × (x - 7) = 35 × 4 = 140

x² - 10·x + 21 = 140

x² - 10·x - 119 = 0

(x - 17) × (x + 7) = 0

x = 17 or x = -7

Therefore, the possible value of x is 17

x = 17

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Answer:

x^3 + 6x^2 -7x -60

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The relationship that represents the law of cosines if the measure of the included angle between the sides a and b is D. area of square c² = area of square a² area of squareb² area of defect1 area of defect2

It should be noted that the cosine law is simply used to solving triangles.

The law simply states that c² = a² + b² - 2abcosC.

The correct option that illustrates this is D.

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Answer:

c. area of square c2 = area of square a2 + area of square b2 – area of defect1 – area of defect2

Step-by-step explanation:

No, the rug is not within Dennie's budget for souvenirs. 2,000 pesos is equivalent to $100 USD, which is the amount she has budgeted for souvenirs.

What is Budget ?

Budgets are plans for spending money based on income and expenses. In other words, it's a forecast of your earnings and spending for a given period of time, such as a month or a year. (Or, if you're monitoring the total amount of money coming into and leaving your home, that's a family budget.)

Dennie’s budget for souvenirs = $100

A rug that costs = 2,000 pesos
Now, we have to check whether the rug is within her budget or not

To check this we have to find what is $1 into peso

Since one dollar = 20.04peso

Then, 100 dollar = 100 x 20.04

                           = 2004 peso

We know that the cost of rug was 2000peso and she has $100 which is 2004 peso

Hence, the rug is within her budget

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Answer:x=37

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

3x + 2 + 7x + 8 = 90

10x + 10 = 90

10x = 80

x = 8

Check:  3x + 2 = 3(8) + 2 = 26°

7x + 8 = 7(8) + 8 = 56 + 8 = 64°

sin 26 = cos 64

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.

So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.

Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.

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Answer:

3 pots

Step-by-step explanation:

V(cylinder)= π×r²×h=3078.8 cubic inches

12,000 / 3078.8= 3.89

so you can only fill 3 pots

Step-by-step explanation:

2 1/4 = 9/4

9/4 ÷ 4

9/4 x 1/4

9/16

so neither of these answers?

Answer: 3

90 pages in 30 minutes so divide 90 by 30 and 90 divided 30 = 3

Hope this helps!

Answer: 3

Step-by-step explanation:

Step 1: Divide 90 by 30

Step 2: 90 divided by 30 = 3