please I need to know how to do this !!

Please I Need To Know How To Do This !!

Answers

Answer 1

[tex]\frac{6xyz}{2xy-y}.\frac{2x^{2}-7x+3 }{3xz - 9z} = 2x[/tex]

How to simplify an expression?

The expression can be simplified as follows:

[tex]\frac{6xyz}{2xy-y}.\frac{2x^{2}-7x+3 }{3xz - 9z}[/tex]

Hence,

[tex]\frac{6xyz}{y(2x-1)}.\frac{(x-3)(2x-1)}{3z(x-3)}[/tex]

Therefore.

[tex]\frac{6xyz}{y(2x-1)}.\frac{(2x-1)}{3z}[/tex]

Hence,

[tex]\frac{2xy}{y(2x-1)}.\frac{(2x-1)}1=2x[/tex]

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Related Questions

Louise Tammy Dolores and Cheryl score 78 points in the tennis matches they play. A score consecutive number of points from smallest to greatest in respect to the order of the name is mentioned. How many points does Lewis score? Options:
A. 19 p
B. 20 p
C. 21 p
D. 18 p

Answers

Based on the fact that the number of points scored are consecutive numbers, the number of points scored by Lewis is D. 18 points.

How many points did Lewis score?

Lewis is the player who scored the least amount of points as they are first in the order.

To find the total number of points scored in the game therefore, you need to assume Lewis's points based on the options, and then sum up the three numbers above it to see if they add up to 78 points.

If Lewis scored 19 points as the lowest then the total points would be:

= 19 + 20 + 21 + 22

= 82 points

If Lewis scored 20 points, the total points would be:

= 20 + 21 + 22 + 23

= 86 points

Lewis therefore scored less than 19 points.

If Lewis scored 18 points, the total is:

= 18 + 19 + 20 + 21

= 78 points

Lewis therefore scored 18 points.

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Solve the system of equations

ax+y=2a
x+ay=1+a^2

Answers

Answer:

x = 1; y = a

Step-by-step explanation:

ax+y=2a

x+ay=1+a^2

-a²x-ay=-2a²

x+ay=1+a^2

(1 - a²)x = 1 - a²

x = (1 - a²)/(1 - a²)

x = 1

a + y = 2a

1 + ay = 1 + a²

a = y

x = 1; y = a

A standard deck of cards contains 52 cards. There are four suits (spades, clubs, hearts, and diamonds) and thirteen of each suit (2-10, jack, queen, king, ace). One card is selected at random from the deck. What is the probability the card selected is an Ace or a heart?

Answers

The probability of selecting an ace or a heart when one card is drawn from 52 cards is 1/52.

Given that there are 52 cards in which there are 13 cards each for spades,clubs,hearts and diamonds.

We are required to find the probability of getting an ace or a heart when one card is drawn from 52 cards.

Probability is basically the chance of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative. The probability can be calculated through following formula:

Probability=Number of items/total number of items.

Number of hearts=13

Number of ace=4

Probability of getting an ace or a heart when one card is drawn=P(X=heart)*P(X=ace)

=13/52 * 4/52

=52/(52*52)

=1/52

Hence the probability of getting an ace or heart when one card is drawn from standard deck of cards is 1/52.

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Find the radius of convergence of the power series. (if you need to use or –, enter infinity or –infinity, respectively. ) [infinity] (−1)n xn 2n n = 0

Answers

For given power series [tex]\sum_{n=0}^{\infty} \frac{(-1)^nx^n}{2^n}[/tex] the radius of convergence is 2.

For given question,

We have been given a power series [tex]\sum_{n=0}^{\infty} \frac{(-1)^nx^n}{2^n}[/tex]

We need to find the radius of convergence of the power series.

We use ratio test to find the radius of convergence of the power series.

Let [tex]a_n=\frac{(-1)^nx^n}{2^n}[/tex]

[tex]\Rightarrow a_{n+1}=\frac{(-1)^{n+1}x^{n+1}}{2^{n+1}}[/tex]

Consider,

[tex]\lim_{n \to \infty}|\frac{a_{n+1}}{a_n} |\\\\= \lim_{n \to \infty} |\frac{\frac{(-1)^{n+1}x^{n+1}}{2^{n+1}}}{ \frac{(-1)^nx^n}{2^n} } |\\\\=\lim_{n \to \infty} |\frac{(-1)^{n+1}x^{n+1}}{2^{n+1}}\times \frac{2^n}{(-1)^nx^n} |\\\\=\lim_{n \to \infty} |\frac{(-1)x}{2} |\\\\=\lim_{n \to \infty}|\frac{-x}{2} |\\\\=\frac{x}{2}[/tex]

By Ratio test, given power series converges at [tex]|\frac{x}{2} | < 1[/tex]

⇒ |x| < 2

So, the radius of convergence is 2.

Therefore, for given power series [tex]\sum_{n=0}^{\infty} \frac{(-1)^nx^n}{2^n}[/tex] the radius of convergence is 2.

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Find the slope of the line grapef below

Answers

Answer:

x = 1

Step-by-step explanation:

No matter what y is, x will always be 1.

(1,-4)

(1,-3)

(1,-2)

(1,0)

(1,1)

(1,2) and so on and so on.

Find the Area Of each circle.

Answers

The area of the circle A and B is 86.54 inches and 124.62 mm

According to the statement

we have given that the radius of the circle A and b and we have to find the area of the given circle.

So, we know that the

The area enclosed by a circle of radius r is πr².

So, For area of the circle

For condition A :

diameter = 10.5 inches

then radius = 5.25

Area = πr²

Area = 3.14*27.56

Area = 86.54 inches

Now, For condition B :

radius = 6.3 mm

Area = πr²

Area = 3.14*39.69

Area = 124.62mm

So, The area of the circle A and B is 86.54 inches and 124.62 mm

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Please give me a correct answer and the step by step explanation.

Answers

keeping in mind that the points are A(-8 , 6) and C(2 , 5), so

[tex]\textit{internal division of a segment using a fraction}\\\\ A(\stackrel{x_1}{-8}~,~\stackrel{y_1}{6})\qquad C(\stackrel{x_2}{2}~,~\stackrel{y_2}{5})~\hspace{8em} \frac{2}{5}\textit{ of the way from A to C} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_2}{2}-\stackrel{x_1}{(-8)}~~,~~ \stackrel{y_2}{5}-\stackrel{y_1}{6})\qquad \implies \qquad \stackrel{\stackrel{\textit{component form of}}{\textit{segment AC}}}{\left( 10 ~~,~~ -1 \right)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\left( \stackrel{x_1}{-8}~~+~~\frac{2}{5}(10)~~,~~\stackrel{y_1}{6}~~+~~\frac{2}{5}(-1) \right)\implies \left(-8+4~~,~~6-\frac{2}{5} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill B\left(-4~~,~~5\frac{3}{5} \right)~\hfill[/tex]

#6 pls quick answer!!!







Answers

Answer:

ANSWER:  mix 120 ml of 35% acid solution with 60 ml of 65% acid                      solution to obtain 180 ml 0f 45% acid solution

Step-by-step explanation:

If x = number of ml of 35% acid solution and 60 = number of ml of 65% acid solution, then x + 60 = number of ml of the mixture.

Acid content of first ingredient + acid content of second ingredient = acid content of the mixture

So, 0.35x + 0.65(60) = 0.45(x + 60)

    0.35x + 39 = 0.45x + 27

                12 = 0.10x

               120 = x

Halfway through the season, the USF Bulls football team had the highest average final score. What was the USF Bulls' average score if their final
scores were 31, 36, 28, 52, and 27

Answers

Answer:

D 34.8

Step-by-step explanation:

[tex]\frac{31+36+28+52+27}{5}[/tex]

Select the correct answer. the diameter of a sphere measures 10.4 inches. what is the surface area of the sphere? a. b. c. d.

Answers

The surface area of the sphere is 108.16π in². So, option b is correct.

What is the surface area of a sphere?

The surface area of the sphere is calculated by the formula,

A = 4πr²

In terms of diameter - d;

A = 4π × (d/2)²

  = 4π × d²/4

  = πd² sq. inches

Calculation:

The given sphere has a diameter d = 10.4 inches

So, the surface area of the sphere is calculated by

A = πd²

  = π × (10.4)²

  = 108.16 π sq. inches

So, option b is correct.

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Disclaimer: The given question on the portal is incomplete. Here is the complete question.

Question: Select the correct answer. the diameter of a sphere measures 10.4 inches. What is the surface area of the sphere?

a. 432.64π in²

b. 108.16π in²

c. 54.08π in²

d. 216.32π in²

Answer:

Step-by-step explanation:

The surface area of the sphere is 108.16π in². So, option b is correct.

What is the surface area of a sphere?

The surface area of the sphere is calculated by the formula,

A = 4πr²

In terms of diameter - d;

A = 4π × (d/2)²

 = 4π × d²/4

 = πd² sq. inches

Calculation:

The given sphere has a diameter d = 10.4 inches

So, the surface area of the sphere is calculated by

A = πd²

 = π × (10.4)²

 = 108.16 π sq. inches

So, option b is correct.

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Disclaimer: The given question on the portal is incomplete. Here is the complete question.

Question: Select the correct answer. the diameter of a sphere measures 10.4 inches. What is the surface area of the sphere?

a. 432.64π in²

b. 108.16π in²

c. 54.08π in²

d. 216.32π in²

Given f(x) = 3 and g(x) = cos(x). what is limit of left-bracket f (x) minus g (x) right-bracket as x approaches negative pi? 2 3 4 dne

Answers

Answer:

3

Step-by-step explanation:

f(x)-g(x)=3-cos(x)

when u limit it

u have

3-cos180

which is 3-0

3

When calculating a nation’s digital power, what term is used to refer to the demonstrated capabilities of a nation-state in cyber offense or defense?

Answers

When calculating a nation’s digital power, the term that is used to refer to the demonstrated capabilities of a nation-state in cyber offense or defense is Cyberwarfare.

What is Cyberwarfare?

Cyberwarfare  can be regarded as the use of cyber attacks against a nation-state so as to produce significant harm.

It should be noted that Cyber Warfare is set of actions  which is been carried out by  nation or organization so as to be able to launch an attack on institutions' computer network systems.

The interests or reasons for cyberwarfares based on the Cybersecurity as well as Infrastructure Security Agency are;

To weaken the system of another country.To disrupt or destroy the sytem of another nation.

In order to achieve the goals behind the cyberwarfare programs, it is usually designed to focus on spectrum of objectives which will bring harm to national interests.

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n January 1989, the temperature in Nome, Alaska dropped to −49° F. Would the gas in the driver's truck have remained in liquid form so he could have driven on this day? Why or why not?

Answers

Answer: The gas would not have remained liquid

Step-by-step explanation:

Since the freezing point of gasoline starts at -40°F, and the temperature that day was -49°F, we can conclude that the gasoline would not have remained liquid


MN =7. Find AB.
3.5
10.5
14

Answers

The length of line segment AB by observation if the diagram in the task content is; 14.

What is the length of line segment AB?

It follows from the task content that the line segment MN can be considered as parallel to line segment AB. This follows from the fact that the vertices of triangle MNO are midpoints of the line segments of triangle ABC.

Consequently, it can be concluded that line segment AB is twice the length of line segment MN and hence, BC = 2 × 7 = 14.

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QUICK!!!HELP!!!!!!!!!!!!!!!!!!

Answers

Using the normal distribution, the probability that a worker selected at random makes between $500 and $550 is: 2.15%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean mu and standard deviation sigma is given by:

Z = (X - mu)/sigma

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given as follows:

mu = 400, sigma = 50

The probability is the p-value of Z when X = 550 subtracted by the p-value of Z when X = 500, hence:

X = 550:

Z = (X - mu)/sigma

Z = (550 - 400)/50

Z = 3

Z = 3 has a p-value of 0.9987.

X = 500:

Z = (X - mu)/sigma

Z = (500 - 400)/50

Z = 2

Z = 2 has a p-value of 0.9772.

0.9987 - 0.9772 = 0.0215 = 2.15% probability.

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bell canada came by my house that I just bought and installed a new wire support for one of the telphone poles on my property. the electrical code says that the support must hit the ground at a 55 degree angle..If the telephone pole is 25 feet tall. how long is the wire spport that bell just installed?

Answers

Answer:

The cable length will have to be at least 30.51936ft

Step-by-step explanation:

[tex]c= \frac{25}{ \sin( 55 ) } = 30.51936[/tex]

C = Cable

The cable is going to have to be 40 ft long to be installed

Veronica's trail-mix package says there are 7 peanuts for every 3 cashews. Casey's trail-
mix package says there are 63 peanuts and 27 cashews. Are these ratios proportional?
If not, how many peanuts should there have been to make it proportional?

Answers

Answer:

Yes, they are proportional.

Step-by-step explanation:

The ratio for Veronica's trail mix is 3:7

The ratio for Casey's trail mix is 27:63 <--- Simplify this number

27:63 simplified is 3:7, which means these ratios are proportional.

hope this helps :)

A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. if a marble is randomly selected from the bag, what is the probability that it is blue?

Answers

3/12, or 1/4 is the probability that it is blue.

What is probability?

Probability = the number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

Probability = number of successes / total number of outcomes

Total marbels in bag = 4+ 3 + 5 = 12  

A total of 12 marbles are in the bag.

3 blue marbles are in the bag.

Therefore, the probability of picking a blue is 3/12, or 1/4.

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If BD = 16 yd and the area of rhombus ABCD is 72 yd^2, what is AC?

Answers

[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]

Given:

[tex] \sf{Area\text{ ABCD=}\frac{1}{2}\times AC\times BD}[/tex]

[tex] \sf{Area = 72 yd^2}[/tex]

[tex] \sf{BD = 6yd}[/tex]

[tex]\leadsto[/tex] Substitute the values:

[tex]\longrightarrow \sf{72 = \dfrac{1}{2} \times AC \times 16}[/tex]

[tex]\leadsto[/tex] Solve for AC:

[tex]\longrightarrow \sf{72=8\times AC}[/tex]

[tex]\longrightarrow \sf{ \dfrac{72}{8}=\dfrac{8\times AC}{8}}[/tex]

[tex]\longrightarrow \sf{AC=9}[/tex]

[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]

[tex]\large \bm{AC= \: 9 yd}[/tex]

Solution:

BD = 16 yd

Area of ABCD = 72 yd²

AC = ?

Area of rhombus, using diagonal:

[tex] \frac{1}{2} \times d1 \times d2[/tex]

Therefore:

[tex] \frac{1}{2} \times 16 \times ac = 72[/tex]

Then:

[tex] \frac{16ac}{2} = 72[/tex]

Cross multiply the above into:

[tex]16ac \times 1 = 72 \times 2 = 144 \\ 16ac = 144[/tex]

Divide by the coefficient of AC:

[tex] \frac{16ac}{16} = \frac{144}{16} [/tex]

Final answer is 9 yd

PLEASE ASAP - Drag each tile to the correct box. Arrange the figures from least to greatest according to their volumes. Assume the variable h has the same value for each figure.

Answers

Assuming that the variable h is the same for each figure, the figures from the least to the greatest is:

Cone with radius of 3 units Cylinder with radius of 3 units Cone with radius of 6 units Cylinder with radius of 6 units

What are the volumes of these shapes?

The value of h is the same for all the shape so assume the value of h is 2 units.

The volume of a cylinder is:

= πr²h

First cylinder area:

= 22/7 x 3 x 2

= 56.54867 units

The second cylinder area:

= 22/7 x 6 x 2

= 226.19467 units

The volume of a cone is:

= πr²h/3

First cone volume:

= 22/7 x 3 x 2/3

= 18.84956 units

Second cone volume:

= 22/7 x 6 x 2/3

= 75.39822 units

The order is therefore:

Cone with radius of 3 units < Cylinder with radius of 3 units < Cone with radius of 6 units < Cylinder with radius of 6 units

In conclusion, the shapes with the larger radius of 6 units will have more volume.

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Oscar corporation is planning to construct an elliptical gate at its headquarters. the width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. the company wants to place two bright spots at the foci of the ellipse. how far from the center of the ellipse will the spots be located?

Answers

The distance from the center of the ellipse to where the spots are located will be 2 feet.

What is Distance?

Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

The distance from the center of the ellipse to where the spots are located will be -

= 5 - 3

= 2 feet.

Therefore, the distance from the center of the ellipse is 2 feet.

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HELP PLEASE
if a function representing distance (feet) as a function of time (minutes), what does f(30) represent in terms of the situation?

Answers

We know

In a function

y=f(x)

x represents the input and y represents output

So

f(30)

x is time

So

f(30) represents distance traveled in 30mins

Which values represent solutions to cosine (startfraction pi over 4 endfraction minus x) = startfraction startroot 2 endroot over 2 endfraction sine x, where x is an element of [0, 2pi)?

Answers

The given trigonometric function consists of trigonometric values of common angles.

The values that represent the solution to [tex]cos(\frac{\pi }{4} -x)=\frac{\sqrt{2} }{2} .sinx[/tex], x ∈ [0, 2·π) are; [tex]x=({\frac{\pi }{2} or \frac{3.\pi }{2} )[/tex].

What are trigonometric functions?Trigonometric functions are real functions in mathematics that connect an angle of a right-angled triangle to ratios of two side lengths. They are widely utilized in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more.

The given function is:  [tex]cos(\frac{\pi }{4} -x)=\frac{\sqrt{2} }{2} .sinx[/tex]

Where; x ∈ [0, 2·π).

We have; cos(A - B) = cos(A)·cos(B) - sin(A)·sin(B).

[tex]cos(\frac{\pi }{4} )=\frac{\sqrt{2} }{2}, sin(\frac{\pi }{4} )=\frac{\sqrt{2} }{2}[/tex]

Which gives:

[tex]cos(\frac{\pi }{4}-x )=\frac{\sqrt{2} }{2}. cosx+\frac{\sqrt{2} }{2}.sinx[/tex]

So, we obtain:
[tex]\frac{\sqrt{2} }{2} .cosx=\frac{\sqrt{2} }{2}.sinx-\frac{\sqrt{2} }{2} .sinx=0\\cosx=0\\cos\frac{\pi }{2} =0[/tex]

Therefore, the possible solutions (x-values) to cos x = 0 are:

[tex]0[/tex] ≤ [tex]\frac{n.\pi }{2}[/tex] ≤ [tex]2.\pi[/tex]

Where, n = 1, 3, 5, .., x ∈ [0, 2·π)

We get:  [tex]x=({\frac{\pi }{2} or \frac{3.\pi }{2} )[/tex].

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Choose the expression that represents a cubic expression. 2x 11 −3x2 − 2x 11 4x3 − 3x2 − 2x 11 5x4 4x3 − 3x2 − 2x 11

Answers

(C) [tex]8x^{3} -7x^{2} -6x+5[/tex] represents a cubic expression.

What is a cubic expression?A cubic polynomial has the generic form [tex]p(x): ax^{3} +bx^{2} +cx+d[/tex], a 0, where a, b, and c are coefficients and d is the constant, all of which are real integers. A cubic equation is one that involves a cubic polynomial.

To determine which expression represents a cubic expression:

[tex]8x^{3} -7x^{2} -6x+5[/tex]  is a cubic expression.The variable is x. [tex]8x^{3} -7x^{2} -6x+5[/tex] : The variable x has the highest power as 3. [tex]8x^{3} -7x^{2} -6x+5[/tex]  is a polynomial.[tex]-7x+4[/tex] is a linear expression because the highest power of the variable x is 1.[tex]7x^{2} -5x+6[/tex] is a quadratic expression because the highest power of the variable x is 2.[tex]9x^{4} +8x^{3} -6x^{2} -2x+11[/tex] is a polynomial with the highest power of the variable being 4.

Therefore, (C) [tex]8x^{3} -7x^{2} -6x+5[/tex] represents a cubic expression.

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The complete question is given below:

Choose the expression that represents a cubic expression.

(A) −7x + 14

(B) 7x2 − 5x + 6

(C) 8x3 − 7x2 − 6x + 5

(D) 9x4 + 8x3 − 6x2 − 2x + 11

Can someone please help me with this?

Answers

Answer:

-2

Step-by-step explanation:

See attachment

The triathletes were offered water as they rode by the volunteer station. The volunteers handed them cones with the dimensions shown. If each triathlete sloshed 1/3 of the water out before they drank it, how many cubic cm of water did they slosh out? Round to the nearest tenth. (PLEASE ANSWER)

Answers

Answer:

 29.9 cm³

Step-by-step explanation:

You want to know the volume represented by 1/3 of a cone that is 7 cm high and has a radius of 3.5 cm.

Cone

The volume of a cone is given by ...

  V = 1/3πr²h

The volume of the cone of interest is ...

  V = 1/3π(3.5 cm)²(7 cm) ≈ 89.797 cm³

Slosh

1/3 of the volume is the amount of water that sloshed out of the cone. That volume is ...

  1/3(89.797 cm³) ≈ 29.9 cm³

They sloshed out about 29.9 cm³ before they drank the water.

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HELP! A city pays a manufacturing company to produce more stop signs for the city due to an increase in traffic incidents at intersections. After doing some research, the company manager reads that a standard stop sign is a regular octagon that is 30 inches wide and 30 inches tall.

Answers

The apothem is 15 inches, the perimeter is calculated to be 99.41 while the area is given as 745.59

How to solve for the octagon

The side of the octagon is given by x inches

the interior side of the angles can be gotten by:

8-2 * 180 / 8 sides

= 135

We have to find the value of the angles

<abc = 180 - 135 = 45 degree

<acb = 180 - 135 = 45 degrees

x² = 2AB²

AB = x/√2

30 =  x/√2 + x +  x/√2

x = 30 / 1 + √2

The apothem = 30 / 2

= 15

perimeter = 8x

= 8(30 / 1 + √2)

= 99.4 inches

area = 0.5 x 15 x 99.4

= 745.59

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Given: the equation of a parabola is x2 = 8y. step 4: where does the focus for the given parabola lie?

Answers

The vertex of the given parabola [tex]$x^{2}=8 \mathrm{y}$[/tex] exists (0, 0).

What is the vertex of a parabola?

The vertex of a parabola exists as the point at the intersection of the parabola and its line of symmetry. The vertex of the parabola exists as the minimum point on the graph for a positive right-handed parabola.

Given the equation of parabola exists [tex]$x^{2}=8 y$[/tex].

[tex]$\mathrm{y}=x^{2} / 8[/tex]

General vertex form for any given parabola exists [tex]$\mathrm{y}=\mathrm{a}(x-a)^{2}+\mathrm{b}$[/tex]

where (a, b) exists the coordinates of the vertex.

For this function it exists [tex]$\mathrm{y}=1 / 8(x-0)^{2}+0$[/tex]

The vertex of the given parabola exists at (0, 0).

Therefore, the vertex of the given parabola [tex]$x^{2}=8 \mathrm{y}$[/tex] exists (0, 0).

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Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Cos C
C
21
B
35
28
A

Answers

Cos=21/35
=0.6




Please mark me brainliest

Match the key features of functions terms to their corresponding definitions.

Answers

The key features of the above given functions are correctly matched to their corresponding definition.

Definition of terms

Negative sections of the graph: They are the parts where the graph is below the x-axis. That is option C.

End behaviour: This is what happens to the graph on the far left or far right. That is option E.

Positive sections of the graph: This is the parts where the graph is above the x-axis. That is option D.

Intercepts: This is the points where the graph crosses an axis. That is option B

Relative extrema: This is the points of relative minimum or maximum in a graph. That is option A.

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Other Questions
A ____________________ setting gives people an opportunity to see how they present themselves to other people. There are approximately 4 to 11 ____________ white blood cells per microliter of blood. The stage that occurs from approximately 18 to 25 years of age is known as adulthood. True or false?. In spite of/ comedy/ I/ not find/ it/ funny....................................................................................Despite/ heavy/ rain/ , they/ go/ a walk....................................................................................They/ spend/ lots/ money on heating/ my city next year...........................................................................___________________________________________1. What is your hobby?- What hobby _________________________2. We all find painting interesting because it' s a creative activity.- We all think _________________________3. His hobby is collecting toy cars.- He collects _________________________4. It isn' t necessary to finish the work today.- You don' t _________________________5. When did you star your hobby? - How long _________________________6. It took me three hours to make this pottery jug. - I spent _________________________7. My father likes to do gardening at the weekend.- My father enjoys _________________________8. Why don' t we go swimming this afternoon?- What about _____________________________________________________________________________FILL IN EACH BLANK WITH A SUITABLE PREPOSITION.1. Is there any milk ________ the fridge?2. There was a lot of food left over ________ the party.3. You can warm ________ the leftovers in the microwave.4. Beat the eggs together ________ salt, pepper and cold water.5. Serve the pancakes ________ some vegetables or fruits.6. Pho is a special kind ________ Vietnamese soup. 7. Pour abour 1/4 cup of mixture ________ the pan at a time. 8. The broth for pho bo is made ________ stewing cow bones ________ a long time.9. Simmer the sauce ________ a low heat. 10. Cut the meat ________ small pieces.__________________________________________________________________There is one mistake in each sentence. Underline and correct the mistake.1. How many orange juice have you had today?2. Are there some eggs in the fridge?3. Would you like a cheese with your pasta?4. Salt is one of important ingredient for almost dishes.5. Can you buy some breads on your way home?6. What do you usually have in breakfast?7. Vietnamese eat more instant noodles to Japanese.8. How many glass of water should you drink per day? Oliver asks his rabbi if it's acceptable for him to swim in the ocean while visiting family in south carolina. the rabbi tells him god has not said anything about swimming in the ocean. thus according to divine command theory, swimming in the ocean is __________. What is the radius of the sector of the circle below, if the area is 30.39 m^2 and the central angle < AOB measures 43 . (round answer to the nearest whole meter) If only a few people ride jet skis in the ocean, they have fun and there is little harm to the environment. If hundreds of people ride jet skis, there may be extensive noise pollution as well as environmental degradation. Jet skis are a __________. The area of a circle is 28.26 square miles. What is the circle's diameter?Use 3.14 for .milesA = 28.26 miz Draw the major product of the reaction between 1-butanol and na2cr2o7, h2so4, h2o Compare Debussy's Prelude to the Afternoon of a Faun to Dvorak's 4th movement of the New World Symphony in Romantic Symphonies, Brahms, and Dvok. Describe the differences you recognize ____________ is the disclosure by an employee of confidential information that relates to some danger, fraud, or other illegal or unethical conduct connected with the workplace, be it of the employer or of fellow employees. A recent survey by the U.S. Census Bureau determined that the median monthly housing rent was $628. If the first quartile for monthly housing rent was $481, find the percent of monthly housing rents that were the following values.(a) more than $481%(b) less than $628%(c) between $481 and $628% On a sunny day, you can sometimes see dust in the air. Explain why the dust moves. It is common and preferred practice for suppliers to arrange shipment to a purchaser and simply include? Question 2(Multiple Choice Worth 2 points)Based on the graphs of the equations y = -2x + 3 and y=x-x + 1, the solutions are located at points? Which of these is a difference between the Senate and the house? the Senate allows unlimited discussion of bills, the house has stricter rules, The house is elected by the people and the Senate is selected by state legislatures, the house bases promotion strictly by seniority, the Senate does not, The given figure is a solid object formed by a cylinder and a hemisphere. If the total length of that solid object is 64 cm and length of the cylinder is 50 cm, find the total surface area of the solid object. What do you need to consider to decide if you can afford to go to an institute of higher education? If a woman gains 30 pounds during pregnancy, the net amount of body fat she gains is about _____. Mayra is hard of hearing and is attending an important video call from her business partner. which capability or assistive device might she find most useful in this situation?