a microwave oven has a capacity of 1.59ft³. the interior of the microwave of the is 14 in wide and 14 in deep. what is the height of the interior of the microwave, to the nearest tenth of a foot​

Answers

Answer 1

Step-by-step explanation:

The easiest way to do this is to imagine the microwave as a box. Ignore the turntables, whether or not something will spin if it touches an edge, and anything else that would make the fact that we're talking about a microwave confusing. This is a box now. :)

The capacity of our box is 1.59 ft^3, which means it can hold that much of "things" inside it. Instead of a capacity, we'll think of it as the box's total area. A tricky thing to note, is the area is given in ft, where the interior values are given as inches. So we'll need to turn the inches into feet.

To get the area of a box, we do length x width x height.

We're already given the length, 14 (inches), and the width, 14 (inches), so all we need to find now is the height (feet). To turn the lengths into feet, we'll divide them by 12, because there are 12 inches in 1 foot, or Feet = Inches / 12.

To finally turn it into math:

Area (A) = length (L) * width (W) * height (H)

[tex]A = L * W * H[/tex]

Insert known values.

[tex]1.59 = \frac{14}{12} * \frac{14}{12} * H[/tex]

Multiply.

[tex]1.59 = \frac{196H}{144}[/tex]

Simplify.

[tex]1.59 = \frac{49H}{36}[/tex]

Multiply both sides by 36.

[tex]1.59*36 = \frac{49H}{36}*36[/tex]

Simplify.

[tex]57.24 = 49H[/tex]

Divide both sides by 49.

[tex]\frac{57.24}{49} = \frac{49H}{49}[/tex]

Simplify.

[tex]1.16816326... = H[/tex]

To turn make this the nearest Tenth, we round up to the first decimal place.

Answer:

H = 1.2 ft


Related Questions

What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor ?

Answers

Answer:

The vertices of ABCD:

A ( - 3, 1 )

B ( 4 , - 3 )

C ( 1, 3 )

D ( - 1 , 4 )

∴ ( 4 x,  4 y ):

A ` ( - 12, 4 )

B ` ( 16, - 12 )

C ` ( 4, 12 )

D ` ( - 4 , 16 )

Step-by-step explanation: I hope this helps! ™(*/ω\*)

Strat with k add 2 multiply by 6 then subtract 8

Answers

Answer:

6(k+2) -8

Step-by-step explanation:

Start with k

k

Add 2

(k+2)

Multiply by 6

6(k+2)

Then subtract 8

6(k+2) -8

6(k+2)-8 is a required answer.

Answer:

Solution given:

Start with k.

K

add 2

k+2

multiply by six

(k+2)*6

subtract by 8

6(k+2)-8

3 of 9
Express the ratio below in its simplest form.
2:4:2

Answers

Answer:

1 : 2 : 1

Step-by-step explanation:

2:4:2

Divide each  term by 2

2/2:4/2:2/2

1 : 2 : 1

WORD PROBLEM -
Sohanlal is a gardener He is paid 160 daily find how much money will he get in the month of September
GIVE ME UR ANSWERS SOON PLS

Answers

When did sohanlal start his pay what is the start date of the pay

The function f(x) = log4x is dilated to become g(x) = f (1/3x).
What is the effect on f(x)?

Answers

Given:

The functions are:

[tex]f(x)=\log_4x[/tex]

[tex]g(x)=f\left(\dfrac{1}{3}x\right)[/tex]

The function f(x) is dilated to become g(x).

To find:

The effect on f(x).

Solution:

Transformation is defined as:

[tex]g(x)=f(kx)[/tex]            ...(i)

Where, k is the factor of horizontal stretch and compression.

If 0<k<1, then the graph of f(x) stretched horizontally by factor [tex]\dfrac{1}{k}[/tex].

If k>1, then the graph of f(x) compressed horizontally by factor [tex]\dfrac{1}{k}[/tex].

It is given that

[tex]g(x)=f\left(\dfrac{1}{3}x\right)[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]k=\dfrac{1}{3}[/tex]

Therefore, the graph of f(x) stretched horizontally by factor [tex]3[/tex].

plzzz helpppp dont ignoreeee

Answers

Answer:

X= 40

Step-by-step explanation:

2(110 + 4x) = 220 + 8x = 540

8X = 320

X= 40

Answer:

x = 17.5

Step-by-step explanation:

Since there’s a dashed line between the shape, the new total = 180* (degrees)

110* + 3x + x = 180*

Subtract 110 from 180

3x + x = 70

x = 17.5

simplify.
[tex]( { - 2})^{ - 3} [/tex]
options:

8

1/8

-8

-1/8​

Answers

Answer:

-1/8

Step-by-step explanation:

Apply exponent rule ^a^-b = 1/a^B

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{2}\mathsf{^{-3}}\\\\\\\mathsf{= \dfrac{1}{-2\times-2\times-2}}\\\\\\\mathsf{-2\times-2\times-2 =\bf (-2)^{3}}\\\\\mathsf{(-2)^3}\\\mathsf{= -2\times-2\times-2}\\\mathsf{= 4\times-2}\\\mathsf{\mathsf{= \bf -8}}\\\\\\\mathsf{= -2^{-3} \rightarrow\boxed{\bf -\dfrac{1}{8}}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: Option D. }\mathsf{\bf - \dfrac{1}{8}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

HELP!!! 15 points. picture below

Answers

Step-by-step explanation:

[tex] \sin( \alpha ) = \frac{ \sqrt{5} }{3} \\ \alpha = 48.19 \: degrees \\ \cos( \alpha ) = \frac{2}{3} [/tex]

Answer:

cos theta =± 2/3

Step-by-step explanation:

sin theta = sqrt(5) /3

sin theta = opp side / hypotenuse

We know that

a^2 + b^2 = c^2 from the pythagorean theorem

opposite side ^2 + adjacent side ^2 = hypotenuse ^2

( sqrt(5)) ^2 +   adjacent side ^2  = 3^2

5 +  adjacent side ^2  = 9

Subtract 5 from each side

5-5 +  adjacent side ^2  = 9-5

 adjacent side ^2  = 4

Taking the square root of each side

 adjacent side   = ±2

We know that

cos theta = adj side / hyp

cos theta =± 2/3

Help fast please in a test and don’t know the answer I have tried Googling and everything please help

Answers

Answer:

Surface Area = 3,543.7 cm²

Step-by-step explanation:

Surface area of the cylinder = 2πr(h + r)

Where,

radius (r) = 12 cm

height (h) = 35 cm

Plug in the values into the surface area formula

S.A = 2*π*12(35 + 12)

S.A = 24π(47)

S.A = 3,543.71651 cm²

≈ 3,543.7 cm² (approximated to the nearest tenth)

Suppose that a1, a2, a3, . . . is an arithmetic sequence, in which a3 = 19 and a14 = 96. Find a1.

Answers

Uhhh I think you have to add 19 and 14 which shall give you the answer to a1 so it should be 33 but then I think you divide 33 and 96 or you will multiply 33 and 96

2. A cylindrical candle has a volume of 785 cm. Determine the minimum amount of plastic which is needed to cover
the outside of the candle for packaging and find the dimensions of the candle which produce this surface area
3. A company which produces pizza ovens has had complaints about their ovens losing too much heat to be
efficient. They have decided to redesign their ovens. The ovens must have a volume of 0.512 m. Find the
optimal design for the oven so that the surface is as small as possible to minimize heat loss Calculate that
surface area.​

Answers

Answer:

2. Candle dimensions: x = 6.3 cm                   h  = 6.29 cm

A (min) = 373.49 cm²

3. Cylindrical oven dimensions:  x  = 0.54 m   h = 0.55 m

A (min)= 1.4747 m²

Step-by-step explanation:

2.A   The volume V of the cylindrical candle is 785 cm³

V = π*x²*h                x is the radius of the base and h the heigh of the cylinder

The surface area A is area of the base   π*x² . plus lateral area 2*π*r*h

then .   A  = π*x²  + 2*π*x*h .             h = V/π*x²

A as a function of x . is

A(x)  = π*x²  + 2*π*x*785/π*x²

A(x) =  π*x²  + 1570/x

Taking derivatives on both sides of the equation we get:

A' (x) = 2*π*x - 1570/x²

A'(x) = 0 .   2*π*x - 1570/x² = 0 .       2*π*x³  =  1570

x³ = 250

x = 6.3 cm .              and .            h  = 785/π*x² .  h = 785/124.63

h  = 6.29 cm

Then dimensions of the cylindrical candle:

x = 6.3 cm                   h  = 6.29 cm

A (min) =  3.14 * (6.3)²  + 6.28*6.3*6.29

A (min) = 124.63  + 248.86

A (min) = 373.49 cm²

3. For a cylindrical oven    V = 0.512    h =  0.512/ π*x²

Following the same procedure

A(x)  = π*x²  + 2*π*x*0.512/π*x² .A(x)  = π*x²  + 1024/x

A'(x) = 2* π*x - 1.024/x²

A'(x) =0 .                2* π*x - 1.024/x² =0 .       2* π*x³ . = 1.024

x³ = 0.512/π .            x³ = 0.163

x  = 0.54 m     h  = 0.512/π*x² .            h = 0.55 m

A(min) = 3.14*(0.54)²  +  1024/x

A(min)= 0.9156 + 0.5591

A (min)= 1.4747 m²

solve for x−4 + x ≤ 9

Answers

Answer:

x ≤ 6.5

Step-by-step explanation:

x−4 + x ≤ 9

Combine like terms

2x-4≤ 9

Add 4 to each side

2x-4+4≤ 9+4

2x≤ 13

Divide by 2

2x/2 ≤ 13/2

x ≤ 6.5

Ross walked 3 m east and 6 m north. How far is he from the starting point

Answers

Answer:

3 sqrt(5) meters

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem.

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

3^2+6^2 = c^2

9+36 = c^2

45 = c^2

Taking the square root

sqrt(45) = sqrt(c^2)

sqrt(9*5) = c

sqrt(9) sqrt(5) =c

3sqrt(5) = c

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Given:-Ross walked 3 m east and 6 m north.

Find:-How far is she from the starting point?solution:-

Ross walked 3 m east and 6 m north.

so her path is a right angle triangle path.

we know that,

in a right angle triangle, According to the Pythagorean theorom,

[tex]\boxed{\sf{l^2+b^2=h^2 }}[/tex]

where

l= legs b=baseh=hypotenuse

According to the question, [tex]\sf{3^2+6^2=f^2 }[/tex]

[tex]\sf{9+36=f^2 }[/tex]

[tex]\sf{ f^2=45 }[/tex]

[tex]\sf{f=\sqrt{45} }[/tex]

[tex]\sf{f=3\sqrt{5} }[/tex]

Therefore:-

he is [tex]\sf{3\sqrt{5} }[/tex] far from the starting point

Evaluate (5.6 x 10^-4 ) - (9.3x10^-6)
Give your answer in standard form to 3SF​

Answers

Answer:

I got 5.51x10^-4

Step-by-step explanation:

Answer:

.0005507

Step-by-step explanation:

5.6 x [tex]10^{-4}[/tex]

9.3 x [tex]10^{-6}[/tex]

 560 x [tex]10^{-6}[/tex]

- 9.3 x [tex]10^{-6}[/tex]

550.7 x [tex]10^{-6}[/tex]

.0005507

A side of the triangle below has been extended to form an exterior angle of 72°. find the value of x.​

Answers

Answer:

108°

Step-by-step explanation:

The sum of angles on a straight line is 180°

Therefore:

x + 72° = 180°

x = 180° - 72°

x = 108°

Therefore, the value of x is 108°

How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer

Answers

Answer:

There are 43200 minutes in a 30-day month.

Step-by-step explanation:

We know that:

60 minutes = 1 hour

24 hours = 1 day

Thus to determine the minutes in a 30-day month, let us first determine the number of hours in the month.

   30

x  24

_______

  120

 60

_______

 720 hours

The 30-day month has a total of 720 hours.

So that the number of minutes that make up 720 hours can be determined by;

    720

 x   60

_______

   000

4320

_______

43200

Therefore, there are 43200 minutes in a 30-day month.

Jernel has to figure out the area of her square garage. She knows that one side of the garage is equal to the length of her rabbit pen. The dimensions of the rectangular rabbit pen are 13 by 10.

Answers

Answer:169

Step-by-step explanation:13 x 13 = 169

You would take the larger side of the pen (13) or else it wouldn’t fit if you chose 10.

Find the measure of arc BC?

Answers

Answer:

129

Step-by-step explanation:

Since,

AD = BC

AD = 3x + 24

BC = 4x - 11

3x + 24 = 4x - 11

4x - 11 = 3x + 24

4x - 3x = 24 + 11

x = 35

BC = 4x - 11

= 4 ( 35 ) - 11

= 140 - 11

BC = 129

Answer:

[tex]AB=BC[/tex]

[tex]3x+24=4x-11[/tex]

[tex]3x-4x=-11-24[/tex]

[tex]x=35[/tex]

[tex]BC=4\times 35-1[/tex]

[tex]=140-11[/tex]

[tex]=129[/tex]

--------------------------

Hope it helps..

Have a great day!!

Q5. Evaluate this expression when a=6
Q6. Which option shows this expression simplified correctly?
Q7. Which option shows this expression simplified correctly?
Q8. Find the following:
Q9. Which option shows this expression expanded correctly?

Answers

Question 5: 54/a. 54/6 is 9. The answer is 9.
Question 6: 2w + 3x. There are 2 w’s, and 3 x’s.
Question 7: 2x + 4y. There are 2 x’s, and 4 y’s.
Question 8. 11 + 16 is 27.
Question 9: 3(8y - 5). 3*8y is 24y. 3*-5 is -15. The answer is 24y - 15.

enlarge shape a by 1/3 with the centre enlargement (3,-3)
(-9,9) (-9,6) (-3,6)

Answers

Answer:

0033

Step-by-step explanation:

.033 of a whole number so its .033



In Australia, road distance is measured in kilometres.
In the USA, road distance is measured in miles.
5 miles is about the same distance as 8 kilometres.
About how many miles is 120 kilometres?

Answers

Answer:

75

Step-by-step explanation:

5 miles-8km

x miles-120 km

x=120×5÷8

x=75 (miles)

Answer:

s

Step-by-step explanation:

since 5 miles is the same as 8 kilometers,how many miles is 120 kilometers..use ratio and proportion

5miles:8kilometers

x. :120kilometers

8x/8=600/8

x=75miles

I hope this helps

Find the percentage of the following:
20/60
18/60
21/60
31/60​

Answers

Answer:

20/60 = 33%

18/60 = 30%

21/60 = 35%

31/60 = 52%

Step-by-step explanation:

Just divide em'

Simple as that.

Answer:

20/60 = 33%18/60 = 30%21/60 = 35%31/60 = 51.67%

I hope th is helps you I just divided the fractions by the way :)

Translate into algebra,
the sum of twice the number x and 25 more than 3 times the number y

Answers

Answer: The expression would look like 2x+(25+3y).

Step-by-step explanation:

Let the number be x

2x+(25+3y)

The algebraic expression will be [tex]2x+(25+3y)[/tex] .

What is expression ?

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

A number [tex]x[/tex]

Number [tex]y[/tex],

The sum of twice the number [tex]x[/tex] and [tex]25[/tex] more than [tex]3[/tex] times the number [tex]y[/tex] ,

So,

According to the question,

sum of twice the number [tex]x[/tex] [tex]=2x[/tex]

And,

ore than [tex]3[/tex] times the number [tex]y[/tex] [tex]=25+3y[/tex]

Now,

The whole  algebraic expression,

[tex]2x+25+3y[/tex]

Hence, we can say that the algebraic expression will be [tex]2x+(25+3y)[/tex] .

To know more about expression click here

https://brainly.com/question/953809

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Niko wants to put soil in his garden shown below. If soil comes in bags that fill 6 square yards each, how many bags of soil should Niko buy? Hint: you may have some leftover soil.

Answers

Answer:

444 pot soils

Step-by-step explanation:

solve: 5y +12 - 3y + 12 = 18

Answers

Answer:

5y-3y+12+12=18

2y = 18 - 24

y = -6/2

y = -3

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{5y + 12 - 3y + 12 = 18}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\textsf{(5y - 3y) + (12 + 12) = 18}\\\\\large\text{NEW EQUATION: \textsf{2y + 24 = 18}}\\\\\large\text{SUBTRACT 24 to BOTH SIDES}\\\\\large\textsf{2y + 24 - 24 = 18 + 24}\\\\\large\text{Cancel out: \textsf{24 - 24} because it gives you 0}\\\\\large\text{Keep: \textsf{18 - 24} because it helps solve it helps solve for y}\\\\\large\textsf{18 - 24 = \bf -6}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{2y = -6}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\mathsf{\dfrac{2y}{2y}=\dfrac{-6}{2}}\\\\\large\text{Cancel out: }\mathsf{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\mathsf{\dfrac{-6}{2}}\large\text{ because it gives you the y-value}\\\\\large\textsf{y = }\mathsf{\dfrac{-6}{2}}\\\\\mathsf{\dfrac{-6}{2}= \bf -3}\\\\\\\\\\\boxed{\boxed{\huge\textsf{Answer: y = \bf -3}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

The zeros of polynomial function g are -5, -1, and 7. Complete the factors to write an equation for function g. Assume that g has only three zeros and three factors.

Answers

Answer:

g(x) = (x + 5)(x + 1)(x - 7)

Step-by-step explanation:

i know for a fact im right

The complete equation of function whose zeros are given;

                               f(x) = (x+5)(x+1)(x-7)

What is Polynomial?

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number.

Here, given zeros are;

   -5, -1, 7

then we can write;

x = -5,  x = -1; x = 7

x +5 = 0 ; x + 1 = 0 ; x - 7 = 0

On multiplying all the terms we get;

(x+5)(x+1)(x-7) = 0

Thus, The complete equation of function whose zeros are given;

                               f(x) = (x+5)(x+1)(x-7)

Learn more about Polynomial from:

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help asap no wrong answers----------------------

Answers

Answer:

[tex]y=-2(sin(2x))-7[/tex]

Step-by-step explanation:

1. Approach

Given information:

The graph intersects the midline at (0, -7)The graph has a minimum point at ([tex]\frac{\pi}{4}[/tex], 9).

What conclusions can be made about this function:

The graph is a sine function, as its y-intercept intersects the midlineThis graph has a negative coefficient, this is because after intersecting the midlines at the y-intercept, the function has a minimum.This graph does not appear to have undergone any horizontal shift, as it intercepts the midlines with its y-intercept

Therefore, one has the following information figured out:

[tex]y=-n(sin(ax))+b[/tex]

Now one has to find the following information:

amplitudemidlineperiod

2. Midline

The midlines can simply be defined as a line that goes through a sinusoidal function, cutting the function in half. This is represented by the constant (b). One is given that point (0, -7) is where the graph intersects the midline. The (y-coordinate) of this point is the midline. Therefore, the midline is the following:

y = -7

2. Amplitude

The amplitude is represented by the coefficient (n). It can simply be defined by the distance from the midline to point of maximum (the highest part of a sinusoidal function) or point of minimum (lowest point on the function). Since the function reaches a point of minimum after intercepting the (y-axis) at its midlines, the amplitude is a negative coefficient. One can find the absolute value of the amplitude by finding the difference of the (y-coordinate) of the point of minimum (or maximum) and the absolute value of the midline.

point of minimum: [tex](\frac{\pi}{4},9)[/tex]

midline: [tex]y=-7[/tex]

Amplitude: 9 - |-7| = 9 - 7 = 2

3. Period

The period of a sinusoidal function is the amount of time it takes to reach the same point on the wave. In essence, if one were to select any point on the sinusoidal function, and draw a line going to the right, how long would it take for that line to reach a point on the function that is identical to the point at which it started. This can be found by taking the difference of the (x- coordinate) of the intersection point of the midline, and the (x-coordinate) of the point of minimum, and multiplying it by (4).

point of minimum: [tex](\frac{\pi}{4},9)[/tex]

midline intersection: [tex](0, -7)[/tex]

Period: [tex]4(\frac{\pi}{4}-0)=4(\frac{\pi}{4})=\pi[/tex]

However, in order to input this into the function in place of the variable (a), one has to divide this number by ([tex]2\pi[/tex]).

[tex]a=\frac{2\pi}{\pi}=2[/tex]

4. Assemble the function

One now has the following solutions to the variables:

[tex]n =-16\\a=2\\b=-7\\[/tex]

Substitute these values into the function:

[tex]y=-2(sin(2x))-7[/tex]

If the outliers are not included what is the mean of the data set 76,79,80,82,50,78,79,81,82

Answers

Answer:

The answer is 80

Step-by-step explanation:

we know that

the outlier is 50, as it is not around the other numbers in the data set.

therefore

mean=[76+ 79 + 80 + 82+ 78 + 83 + 79 + 81 + 82]/9

mean=[720]/9

mean=80

Answer:

80

Step-by-step explanation:

mean=[76+ 79 + 80 + 82+ 78 + 83 + 79 + 81 + 82]/9

mean=[720]/9

mean=80

look at photo! please help needed! 1.

Answers

Answer:

5/12

Step-by-step explanation:

it says in the question that 1/4 +1/3 is used so in order to make it simple we have to find the common denominator that is 12. so converting 1/4 is 3/12 and 1/3 is 4/12.so u add the numerator and u get 7 over 12 .so now the whole container of peanuts is 12/12 but 7/12 is used so 12-7= 5. so ur ans is 5/12

If f(x) =3x^2 +1 and g(x) = 1 -x, what is the value of (f-g) (2)?

Answers

Answer:

(f-g)(2) = 14

Step-by-step explanation:

f(x) =3x^2 +1 and g(x) = 1 -x

f(2) = 3(2)^2 +1 = 3(4)+1 = 12+1 = 13

g(2) = 1-2 = -1

f(2) - g(2) = 13 - -1 = 13+1 =14

Answer:

14

Step-by-step explanation:

(f-g)(2) means f of x minus g of x when x equals 2.

To solve, first set up the equation

[tex](3x^2}+1)-(1-x)[/tex]

Change the signs in the second part. {because this is subtraction}

[tex]3x^2}+1-1+x[/tex]

Replace x with 2.

[tex]3(2^2})+1-1+2[/tex]

Solve.

[tex]3(4)+2[/tex]

[tex]12+2[/tex]

[tex]14[/tex]

Other Questions
On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3).Which statement is true about the graphed function?F(x) < 0 over the interval (, 4)F(x) < 0 over the interval (, 3)F(x) > 0 over the interval (, 3)F(x) > 0 over the interval (, 4) Find the area of sector TOP in (O using the given information. Leave youranswer in terms of .13. r = 5 m, m = 90 degrees Describe the effort of translating tringle abc to tringle a'b'c hi need help with correcting :)Write complete Spanish sentences expressing the affirmative or negative command, depending on if no is present. If no is present in the example, make the command negative. If there is not a no in the example, please form the command in the affirmative.11. no dormir ("o" to "ue" stem change) tarde (late): No te duermas. teachers message: this is not a reflexive verb. add tarde after the verb.13. ponerse la ropa: Ponte la ropa. teachers message: put the accent mark on verb that must be added when adding a reflexive pronoun to the command. answer for brainlyyyyyy PLSSS Total rs 5000 amount shared between sunil and raj in ratio 3:2 1. What do you think will happen if humans pay no heed towards conservation of soil?2. What contribution you will make to fulfill the vision of UAE leaders to achieve the goal of sustainability?Please answer, Urgently needed! Using the applet, explore the results for simulating a group of 30 people and noting whether there is a duplicated birthday (whether at least two people have a matching birthday). Run at least 40 trials. What is the relative frequency of trials that had at least two people with the same birthday PLS HELP ASAP IM TAKIN A TEST !!Read the following excerpt from the ending of Lorraine Hansberry's A Raisin in the Sun:WALTER (A beat. The tension hangs; then WALTER steps back from it) Yeah. Well what I mean is that we come from people who had a lot of pride. I mean we are very proud people. And that's my sister over there and she's going to be a doctor and we are very proud LINDNER Well I am sure that is very nice, but WALTER What I am telling you is that we called you over here to tell you that we are very proud and that this (Signaling to TRAVIS) Travis, come here. (TRAVIS crosses and WALTER draws him before him facing the man) This is my son, and he makes the sixth generation our family in this country. And we have all thought about your offer LINDNER Well, good . . . good WALTER And we have decided to move into our house because my father my father he earned it for us brick by brick. (MAMA has her eyes closed and is rocking back and forth as though she were in church, with her head nodding the Amen yes) We don't want to make no trouble for nobody or fight no causes, and we will try to be good neighbors. And that's all we got to say about that. (He looks the man absolutely in the eyes) We don't want your money. (He turns and walks away) LINDNER (Looking around at all of them) I take it then that you have decided to occupy . . . BENEATHA That's what the man said.How does this excerpt contribute to the theme of A Raisin in the Sun? What aesthetic impact did the author intend it to have on the reader? Be sure to cite evidence from the reading to support your claim. Add .003, 265.8, 83.04and 1972 Paragraphs 1 and 2 suggest that Ray likes Lilly becauseFhe believes she is original and stands out in the communityhe believes she is hard working and is considered a success at schoolGHhe values her polite reactions when people are kind to herJhe values her appearance and confidence Plz help me to find the answer to 4th question..plz help me Mathematical Connections The triangle shownis isosceles. Find the length of each side and theperimeter.#14 Simplify the given expression. Translate to French Draft a defense or a challenge with at least two reasons for your opinion. Make sure you have a main idea sentence for your opinion. Writing a draft first, then revising and editing, will help you to better organize your thoughts. Then, edit for capitalization, spelling, and punctuation.Defense or Challenge: People over 21 may legally carry concealed handguns, but do you think they should be allowed to bring them into a college? Write your opinion with a main idea sentence, two valid reasons, and a concluding sentence (minimum 4 sentences). Based on the following observations decide the order of reactivity for hydrogen, magnesium, and copper. Hydrochloric acid reacts with magnesium but did not react with copper. magnesium reacted with copper sulfate. Write your answers in the blanks. For magnesium write magnesium for hydrochloric acid write hydrogen and for copper sulfate write copper. Geometry help I dont know any of this stuff!! If y = ax^2 + bx + c passes through the points (-3,10), (0,1) and (2,15), what is the value of a + b + c? Conducting a search of the story is part of store closing duties why