Jessica bought 12 pieces of candy at the store for $0.65 each. How much did she spend in all?
Please respond without using google

Answers

Answer 1

Jessica purchased 12 pieces of sweets for $7.8. Use multiplication, In mathematics, one finds the product of two or more numbers.

Calculate how much she spend?

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 12x 65 = 780 are the numbers 12 and 65, and the product is the number780.

Detailed explanation:

Using the formulas 12•65 or 12x65 = 780

Step-by-step explanation: The solution is 780 if you enter 12•65 or 12x65=78. ie , $7.8.

Jessica purchased 12 pieces of sweets for $7.8.  

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Answer 2

Final answer:

To find the total cost of the candy Jessica bought, we multiply the quantity (12 pieces) by the price per piece ($0.65) to get a total of $7.80 spent.

Explanation:

Jessica bought 12 pieces of candy at the store for $0.65 each. To find out how much she spent in all on the candy, we simply multiply the number of pieces of candy by the price per piece.

Using the equation:
total cost = (number of pieces) × (price per piece),
we get:
total cost = 12 × $0.65.

By doing the multiplication, we find that:
total cost = $7.80.

Therefore, Jessica spent $7.80 on the 12 pieces of candy.


Related Questions

0.034 is 1/10 of 0.0034

Answers

False, .0034 is 1/10 of .034

Final answer:

The statement that 0.034 is 1/10 of 0.0034 is incorrect. In fact, 0.034 is 10 times larger than 0.0034. Thus, it's correct to say 0.0034 is 1/10 of 0.034.

Explanation:

No, the statement that 0.034 is 1/10 of 0.0034 is not correct. When comparing the two numbers, we can see that 0.034 is actually 10 times larger than 0.0034, not 1/10. To confirm this, we can perform the division operation: 0.034 ÷ 0.0034 = 10. Therefore, we can say that 0.0034 is 1/10 of 0.034, but not the other way around.

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Kerry is conducting a marketing survey. She mailed 45,128 surveys and received 17,892 responses. Approximately what percentage of people responded to the survey?

Answers

Answer:

Approx. 39.7%

Step-by-step explanation:

All you have to do is

17,892÷45,128

Answer:

40 %

Step-by-step explanation:

Percent = Responses/total surveys × 100 %

             = 17 892/45 128 × 100 %

             ≈ 40 %

Approximately 40 % of people responded to the survey.

Which quadrant is secant negative and cotangent is positive?
a)Q1
b)Q2
c)Q3
d)Q4

Answers

Answer:

c)Q3

Step-by-step explanation:

In the third quadrant, tangent and cotangent are positive while cosine and thus secant are negative. Therefore, the solution is C. Q3

factor 3x^2-19x+20 ​

Answers

Final answer:

To factor the expression 3x² - 19x + 20, we find two numbers that multiply to 60 and add up to -19, which are -4 and -15. The expression can then be rewritten and factored by grouping to obtain the factors (x - 5)(3x - 4).

Explanation:

The question asks to factor the quadratic expression

3x² - 19x + 20

To factor this expression, we need to find two numbers that multiply to give the product of the coefficient of x² (which is 3) and the constant term (which is 20), and at the same time, add up to give the coefficient of x (which is -19). The two numbers that satisfy these conditions are -4 and -15, as (-4) * (-15) = 60 and (-4) + (-15) = -19.

Now, we can rewrite the expression by splitting the middle term:

3x² - 4x - 15x + 20

Factor by grouping: x(3x - 4) - 5(3x - 4)

The factors are: (x - 5)(3x - 4)

what is the slope of the line that passes through the points (-5,2) and (-7,6)

Answers

Answer:

-2

Step-by-step explanation:

slope is equal to:       y2-y1

                                _______ =

                                   x2-x1

  6-2            4

______ = _____ = -2

-7-(-5)          -2

8000 in scientific notation

Answers


The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 8,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 8,000
New Number: 8.000
Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 8 . 0 0 0
Decimal Count: 1 2 3
There are 3 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8 (Please notice any zeroes on the end have been removed)

b = 3

Now the whole thing:

8 x 103

Step 4

Check your work:

103 = 1,000 x 8 = 8,000

More Scientific Notation Examples

7,998 7,999 8,001 8,002
7.998 x 103 7.999 x 103 8.001 x 103

The solution to the number 8000 in scientific notation is 8  * 10³

Expressing the number 8000 in scientific notation

From the question, we have the following parameters that can be used in our computation:

Number = 8000

Multiply the number by 1

So, we have

Number = 8000 * 1

Express 1 as 1000/1000

So, we have the following representation

Number = 8000 * 1000/1000

Next, we have

Number = 8 * 1000

Express 1000 as 10³

So, we have

Number = 8 * 10³

Hence, the solution is 8  * 10³

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How many solutions does the equation 5x + 10 = 5x - 8 have?

Answers

Answer:

2

Step-by-step explanation:

can someone please explain what is happening to rectangle A? Answer choice c says: rotate rectangle A 90 counterclockwise about the origin reflect it over the y axis and translate it 1 unit up. answer D says rotate rectangle a 90° clockwise about the origin and translated 2 units up and 6 units to the right A and B are in the pic. ​

Answers

C is the one you're looking for

Solve x 2 - x - 5/2 = 0 using the quadratic formula.

Answers

Answer:

your answer would be: x=1±√11 all divided by 2

Hope this helps

~QueenSupreme AKA Trinity

Answer:   [tex]\bold{\dfrac{1\pm \sqrt{11}}{2}}[/tex]

Step-by-step explanation:

[tex]x^2-x-\frac{5}{2}=0\quad \text{multiply by 2 to get:}\\\\2x^2-2x-5=0\quad \rightarrow \quad a=2,\ b=-2,\ c=-5\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(2)(-5)}}{2(2)}\\\\\\.\ =\dfrac{2\pm \sqrt{40}}{2(2)}\\\\\\.\ =\dfrac{2\pm \sqrt{44}}{2(2)}\\\\\\.\ =\dfrac{2\pm 2\sqrt{11}}{2(2)}\\\\\\.\ =\boxed{\dfrac{1\pm \sqrt{11}}{2}}[/tex]

**WILL MARK BRAINLIEST AND THANK YOU**

Find f(-5)
f(x)=-4x+3

A. -17
B. -7
C. 12
D. 23

Answers

Answer:

Step-by-step explanation:

f(x) = - 4x + 3

x = - 5

f(- 5) = - 4.(- 5) + 3

f(- 5) = 20 + 3

f(- 5) = 23

Alternative D

I hope I helped you.

Answer:

the answer is D

Step-by-step explanation:

Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756 miles. On one particular trip, they fly into the wind, and the the flight takes 2 hours. The return trip, with the wind behind them, only takes1 1/2 hours. If the wind speed is the same on each trip, find the speed of the wind and find the speed of the plane in still air. ​

Answers

Answer:

Plane = 441 mi/h; wind =  63 mi/h

Step-by-step explanation:

distance = rate × time

 Let p = the plane's speed in still air

and w = the wind speed . Then,

p + w = speed with wind

 p - w = speed against wind

We have two conditions:

(1)  756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants                  (3)    756 = 2p - 2w

                                                          (4)   756 = 1.5p + 1.5 w  

Multiply Equation (3) by 3                (5) 2268 = 6p  -  6w

Multiply Equation (4) by 4                (6) 3024 = 6p + 6w

Add Equations (5) and (6)                     5292 = 12p

Divide each side by 12                     (7)        p = 441 mi/h

Substitute (7) into Equation(3)                 756 = 882 - 2w

Add 2w to each side                      2w + 756 = 882

Subtract 756 from each side                    2w = 126

Divide each side by 2                                 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2     (2) 756 = (441 + 63) × 1.5

   756 = 378 × 2                   756 = 504 × 1.5

   756 = 756                         756 = 756

Final answer:

The speed of the plane in still air is 420 miles per hour and the wind speed is 84 miles per hour.

Explanation:

To solve Dave and Sandy Hartranft's problem, we set up two equations for flying into and with the wind. For Dave and Sandy flying into the wind, we use the formula speed equals distance over time: P - W = 756 miles / 2 hours. This represents the plane's speed minus the wind speed equaling the distance traveled divided by the time taken. We denote P as plane's speed and W as wind speed.

On the return trip, with the wind behind them, we calculate plane's speed plus the wind speed based on the same formula: P + W = 756 miles / 1.5 hours. Solving these two equations, you get: P = 420 miles per hour (plane's speed in still air) and W = 84 miles per hour (wind speed).

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7/11 as a decimal rounded to 3 decimal places

Answers

Final answer:

To round 7/11 to three decimal places, you divide 7 by 11 to get 0.63636..., and then round the result to 0.636 since the fourth decimal place is 6, which mandates rounding up.

Explanation:

To convert 7/11 as a decimal rounded to 3 decimal places, you can either use a calculator or do long division. After dividing 7 by 11, you will get a result that must be rounded to maintain only three digits after the decimal point. To round off a decimal number, look at the digit after the place you want to round to. In this case, if you want to round to three decimal places, you will look at the fourth place after the decimal. If this digit is 5 or higher, you round up the third-place digit. If it's lower than 5, you leave the third-place digit as it is.

So, converting 7/11 into a decimal, you get approximately 0.63636... Looking at the fourth decimal place, we see that the digit is 6, which means we round up the third decimal place. So, 7/11 rounded to three decimal places is 0.636.

what is the answer to
1/4[2-5x+6]

Answers

Answer:

Step-by-step explanation:

(1/4) (2-5x+6)

=(1/4)(8-5x)

= 8/4 - 5x/4

=1/2 - 5x/4

Solve the system of equations. Y = 2x-2 y = x^2-x-6

Answers

Answer: (-1, -4) and (4, 6)

Step-by-step explanation:

The pair of solution to the equations y = 2x - 2  and y = x² - x - 6

are (4, 6) and (-1, -4).

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two equations:

y = 2x - 2

y = x² - x - 6

Equate both equations:

2x - 2 = x² - x - 6

x² - 3x - 4 = 0

Solving using the quadratic formula:

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

x = 4, -1

y = 6, -4

Thus, the pair of solution to the equations y = 2x - 2  and y = x² - x - 6

are (4, 6) and (-1, -4).

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which statements are true? select each correct answer.
a) 30a^6-24a^2=3à^2(10a^4-8)
b) 24a^4+18=6(4a^⁴+3)
c) 16a^5-20a^3=4a^3(4a^2-5)
D) 12a^3+8a=4(3a^3+2a)​

Answers

Answer:

All are True

a) 30a^6-24a^2=3à^2(10a^4-8)

b) 24a^4+18=6(4a^⁴+3)

c) 16a^5-20a^3=4a^3(4a^2-5)

D) 12a^3+8a=4(3a^3+2a)​

Step-by-step explanation:

a) 30a^6-24a^2=3à^2(10a^4-8)

since; 3à^2(10a^4-8)

        = 30a^6 - 24a^2

b) 24a^4+18=6(4a^⁴+3)

Since; 6(4a^⁴+3) opening the brackets

           = 24a^4 + 18

c) 16a^5-20a^3=4a^3(4a^2-5)

Since; 4a^3(4a^2-5) , opening the brackets we get

         = 16a^5 - 20^3

D) 12a^3+8a=4(3a^3+2a)​

Since;4(3a^3+2a)​, opening the bracket we get;

        = 12a^3 + 8a

Which data could be represented by the box plot shown below?

Answers

Answer:

C

Step-by-step explanation:

The measure of angle between diameter
AB
and chord
AC
is 30°. A tangent to the circle at point C intersects line
AB
at point D. Prove that triangle ACD is isosceles

Answers

[tex]AB\: is \:the \:diameter\Rightarrow \widehat{ACB}=90°\Rightarrow \widehat{ABC}=180°-90°-30°=60° \: (1) \\ \bigtriangleup OBC \: has \: OB=OC=R\Rightarrow \bigtriangleup OBC \: is \: an \: isosceles \: triangle \: (2) \\ (1),(2)\Rightarrow \bigtriangleup OBC \: is \: an \: equilateral \: t riangle \Rightarrow \widehat{COB} =\widehat{COD} = 60° \\ CD \: tangents \: (O) \: at \: C\Rightarrow OC\perp OD \: at \: C\Rightarrow \widehat{OCD}=90° \\ \widehat{CDO}=180°-\widehat{OCD}-\widehat{COD}=180°-90°-60°=30° \\ In\: \bigtriangleup ACD,\widehat{CAD}=\widehat{CDA}=30°\\\Rightarrow \bigtriangleup ACD\: is\: an\: isosceles\: triangle\: at\: C[/tex]

Triangle ACD is an isosceles triangle, with AC = AD.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.


We have,

Let O be the center of the circle, and let E be the point where the tangent line to the circle at point C intersects diameter AB.

Since OC is perpendicular to CE (tangent line at C), and OD is perpendicular to AB, angle ECD and angle OAD are alternate angles, and hence congruent.

Now,

Since the measure of the angle between diameter AB and chord AC is 30°, the measure of angle AOC is 60°.

The measure of angle OAD is also 60°.

Now,

Since angles ACD and OAD are congruent, and angle AOC is 60°,

we have:

angle ACD = angle OAD = 60°

Also,

Since OC is perpendicular to AC (radius of the circle),

we have angle OCA = 90°.

Now,

angle ACB

= angle OCA - angle AC0

= 90° - 30°

= 60°

Since angle ACD is equal to angle ACB, and angle AOC is also equal to 60°,

We have:

angle ACD = angle ACB = 60°

angle AOC = 60°

Therefore,

Triangle ACD is an isosceles triangle, with AC = AD.

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The perimeter of a rectangular rug is 24 ft. The length of the rug is 1 2/5 its width. What is the area of the rug?

Answers

Answer:

35 ft²

Step-by-step explanation:

We set up a system of linear equations describing this rug and then solve it:

Perimeter:  P = 2L + 2W

L = (1  2/5)W = 1.4W

Going back to the Perimeter equation, and knowing that P here is 24 ft, we have:

24 ft = 2(1.4W) + 2W, or 2.8W + 2W, or 4.8W.

Solve for W (width) by dividing both sides of this equation by 4.8:

W = 24 ft  / 4.8  = 5

The width of the rug is 5 ft; the length is 1.4(5 ft), or 7 ft.

Thus the area of the rug is A = L * W, or A = (7 ft)(5 ft) = 35 ft²

How many triangles can you make from straws with the lengths 2,1,2 inches?

Answers

Answer:

You can make one triangle with these lengths

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Verify if the lengths satisfy the triangle inequality theorem

1) 2+1 > 2

3 > 2 ------> is true

2)2+2 > 1

4 > 1 -----> is true

so

The lengths  satisfy the triangle inequality theorem

therefore

You can make one triangle with these lengths

Kim's softball team was playing in the championship game. When there were
4
44 innings left, the team was losing by a score of
1
7
1717 to
6
66 points. In the last
4
44 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points.

Answers

Answer:

The inequality is

6+4r>17

The miminum number of runs per inning is  

3.

Step-by-step explanation:

As of 2008 the longest car ever built was 30.5 meters long. A meter is a little longer than a yard. Estimate the length of this car in feet.

Answers

The car would be about 90 ft

Find the volume of each of the following rectangular solids. a. l = 6 meters, w = 2 meters, h = 3 meters b. l = 5 feet, w = 10 feet, h = 8 feet

Answers

Answer:

a.) is 36 square meters

b.) 400 square meters

Step-by-step explanation:

to find the Volume you must multiply the length, width, and the hight. so to find a.) V = lwh

6 x 2 x 3 = 36

36 square meters.

and you can use the same formula for b.)

Hope this helps!

Please mark as brainliest! Thanks!

Volume of a) 36 cubic meter

Volume of b) 400 cubic feet

What is the formula of volume of rectangular solid ?

Let, Length of the rectangular solid = l unit

Width of the rectangular solid = w unit

And height of the rectangular solid = h unit

Then volume of rectangular solid = l × w × h cubic unit

What is the volume of first rectangular solid ?

Given, Length of the rectangular solid = 6 meters

Width of the rectangular solid = 2 meters

And height of the rectangular solid = 3 meters

Volume of the rectangular solid = (6×2×3) cubic meter

                                                        = 36 [tex]m^{3}[/tex]

What is the volume of second rectangular solid ?

Given, Length of the rectangular solid = 5 feet

Width of the rectangular solid = 10 feet

And height of the rectangular solid = 8 feet

Volume of the rectangular solid = (5×10×8) cubic feet

                                                        = 400 cubic feet

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When rolling a number cube what is the probability of rolling a number greater than two

Answers

Answer:

it is 5/6

Step-by-step explanation:

it's easy. There are 5 numbers that are greater than 2.

Answer: the answer is 2/3 i took the test

What is the place value of the 2 in the 150.1235

Answers

150.1235


Tenths place

The Answer is hundredths

Can anyone please answer this question????I really can't choose which answer to put in here!!!!!!!HELP ME PLEASE!!!!!!!30 points for who answers it.......and it is quite easy.......

Answers

Answer:B.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

it is C because A, B, and D are triangular prisms.

need geometry help!

Answers

Answer:

1. Area = 113.1 square units

2. Area = 28.27 square units

3. Area of Shaded = 22.27 square units

Step-by-step explanation:

1.

Area of the circle is given by the formula   [tex]A=\pi r^2[/tex]

where A is the area and r is the radius

In our case the radius is 6 units, thus we have:

[tex]A=\pi r^2\\A=\pi (6)^2\\A=\pi *36\\A=113.1[/tex]

Area = 113.1 square units

2.

When we have the angle given in radians, the area of sector is given by the formula   [tex]A=\frac{1}{2}r^2\theta[/tex]

Where  [tex]\theta[/tex]  is the central angle ( in our case [tex]\theta = \frac{\pi}{2}[/tex] and r is the radius (it is 6)

Plugging in these info into the formula we have area of sector:

[tex]A=\frac{1}{2}r^2\theta\\A=\frac{1}{2}(6)^2(\frac{\pi}{2})\\A=\frac{1}{2}*36*\frac{\pi}{2}\\A=28.27[/tex]

Area = 28.27 square units

3.

Area of shaded region = Area of Sector - Area of Triangle

We know area of sector is 28.27

Since the angle is 90 degrees, we have a right triangle, we can use the pythagorean theorem to find the height of the triangle, CE.

Thus

[tex]DC^2+CE^2=DE^2\\3^2+CE^2=5^2\\9+CE^2=25\\CE^2=25-9\\CE^2=16\\CE=4[/tex]

The area of triangle is  [tex]A=\frac{1}{2}bh[/tex]

where b is the base (in our case it is DC = 3 ) and h is the height (in our case it is CE, which is 4). Plugging into the formula we have the area of triangle as:

[tex]A=\frac{1}{2}bh\\A=\frac{1}{2}(3)(4)\\A=6[/tex]

Area of Shaded = 28.27 - 6 = 22.27 square units

Indicate the equation of the given line in standard form. The line with slope and containing the midpoint of the segment whose endpoints are (2, -3) and (-6, 5).

Answers

Answer:

x + y = -1

Step-by-step explanation:

To write the equation of a line, find the slope and use it with a point in the point slope form.

You can find the slope using the slope formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{5--3}{-6-2} = \frac{8}{-8}=-1[/tex]

Substitute m = -1 and the point (2,-3) into the point slope form.

[tex]y - y_1 = m(x-x_1)\\y --3 = -1(x-2)\\y+3=-1(x-2)[/tex]

Convert to standard form by applying the distributive property and rearranging the terms.

y+3 = -1(x-2)

y + 3 = -x + 2

x + y + 3 = 2

x + y = -1

What is the radius, diameter, circumference,area of 3.5 cm. Please please help me

Answers

Answer:

radius=3.5 Diameter=7 Circumference=21.99 area=38.48

Step-by-step explanation: These are the answers, hope you found them helpful :)

What is the surface area of a right circular cylinder with a height of 8 meters and a base whose
radius is 4 meters?
(A)144 m2 (B)96 m2 (C)80 m2 (D)128 m2

Answers

Answer:

[tex]S.A=96\pi m^2[/tex]

Step-by-step explanation:

The surface area of a right circular cylinder is given by the formula;

[tex]S.A=2\pi r(r+h)[/tex]

where [tex]h=8m[/tex] is the height of the cylinder and

[tex]r=4m[/tex] is the radius of the cylinder.

We plug in these values into the formula to obtain;

[tex]S.A=2\pi \times4(4+8)[/tex]

[tex]S.A=8 \times12 \pi[/tex]

[tex]S.A=96\pi m^2[/tex]

−12 ≤ 44+x

Solve for x

Answers

Answer:

[tex]x \geq -56[/tex]

Step-by-step explanation:

You can solve inequalities the same way as equations as long as whenever you multiply or divide by a negative number, or flip fractions, you change the direction of the sign.

We don't have to do that here, here is the worked solution:

[tex]-12 \leq 44 + x[/tex]

[tex]-56 \leq x[/tex]

[tex]x \geq -56[/tex]

Answer:

x ≥ -56

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Hope this helps,

Davinia.

Other Questions
Human cells have 23 pairs of chromosomes. How many combinations of chromosomes can result in an effort to maintain genetic diversity? A proton travels with a speed of 4.2106 m/s at an angle of 30 west of north. A magnetic field of 2.5 T points to the north. Find the magnitude of the magnetic force on the proton. (The magnetic force experienced by the proton in the magnetic field is proportional to the component of the protons velocity that is perpendicular to the magnetic field.) Which set of three angles could represent the interior angles of a triangle?A.49,59,72B.28,58,62C.39,89,108D.45,70,85 Two kinds of perfume are packaged in square pyramidal bottles. Perfume A is packaged in a bottle with a base of 3 inches square and a slant height of 2.5 inches. Perfume B is packaged in a bottle with a base 2.5 inches square and has a slant height of 3 inches. Which bottle contains more glass? What are two Amphibian behaviors Match each thesis statement with an essay topic the pics show thesis statements and here are the essay topics 1.use of symbolism in the raven2. Mood and tone in the raven3. Themes explored in the raven4. Use of figurative language in the raven What were European nations doing that helped their economies boom?AArms raceBThey had instituted national lotteriesCGreat Depression Technician A says that the oil control ring scrapes oil off the cylinder wall with each downward piston stroke. Technician B says that a typical oil control ring consists of two separate pieces. Who is right? A. Technician B only B. Both Technicians A and B wrong answer C. Technician A only D. Neither Technician A nor Bp.s "both"is wrong 2. Do you think IPv4 networks continue on, or will everyone eventually switch over to IPv6? How long do you think it will take? How was Philadelphia more stoic than New Amsterdam?The houses were made of wood instead of bright-colored bricks.The houses were built close together for a community spirit.The houses paid attention to fine details of the design.The houses had provisions for personal gardens. One of the biggest changes seen in the literature between the Puritan period and the colonial period is Every major contraction in the U.S. Economy has either been created or greatly exacerbated by monetary instability. Every major inflation has been caused by monetary expansion. Which of the following economists made this statement?a. Milton Friedmanb. John Maynard Keynesc. Adam Smithd. Paul Samuelson I need help with a calculus 2 exercise, with a good explanation to what I'm trying to figure out.The problem involves finding the arc length when y = (x^2)/2 - (lnx/4) given 2 x 4So I know the formula involves L = Integral from a to b of sqrt(1+(f'(x))^2)dx And I took the the derivative of y = (x^2)/2 - (lnx/4)And got = x - (1/4x) I then kept reducing it to suit the formula 1 + ( x - 1/4x)^2I added the alike terms1 + x^2 - 1/2 + 1/16x^2x^2 + 1/2 + 1/16x^2AND then comes my question!So it is supposed to become this afterwards: (x + 1/4x) ^ 2But how did that happen, I don't understand how I can reduce it to a square, please help me figure it out. Any goods being imported from another country may be subject to issued by the federal government.. how did jess and leslie change in bridge to terabithia A system at equilibrium contains i2(g) at a pressure of 0.21 atm and i(g) at a pressure of 0.23 atm . the system is then compressed to half its volume. find the pressure of i when the system returns to equilibrium. what is tan(sin^-1(x/2)) Which of the following fractions is equal to 1/4 A.12/60 B.48/12 C.36/108 D.26/104 E.17/50 Find the surface area , please explain how you solved it. If the measure of angle 3 =119 degrees,then the measure of angle 6= Steam Workshop Downloader