what is 1/2 - 3/10 in simplest form

The value that would be obtained using the 5 midpoint rectangles of equal width to estimate the given Integral is; 33/100

First of all, let us partition the interval [0, 1] as;

[0, 1/5] ∪ [1/5, 2/5] ∪ [2/5, 3/5] ∪ [3/5, 4/5] ∪ [4/5, 5]

Thus, the midpoints of the intervals which are the sample points are, respectively;

1/10, 3/10, 1/2, 7/10, 9/10

The integral is approximated by;

(0,1)∫x² dx = (5, n=1)Σf(x_n) Δx

where Δx is the difference between the partition endpoints, i.e.

Δx = (1 - 0)/5 = 1/5

and x_n is the midpoint of the nth partition.

Thus, we have;

(5, n=1)Σf(x_n) Δx = (1/5)[(1/10)² + (3/10)² + (1/2)² + (7/10)² + (9/10)²] = 33/100

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The scale factor is 4

y=-3x-2

Hope it helps.

Do comment if you have any query.

Answer:

[tex]\Longrightarrow: \boxed{\sf{y=-3x+2}}[/tex]

Step-by-step explanation:

The slope-intercept form is used to write linear equations.

Slope-intercept form:

[tex]\Longrightarrow: \sf{y=mx+b}[/tex]

The m represents the slope.

The b represents the y-intercept.

The slope is -3.

The y-intercept is 2.

y=-3x+2

I hope this helps! Let me know if you have any questions.

Answer:

Perpendicular

Step-by-step explanation:

Simplify 3x+9y=9 to 9y=-3x+9 and then to y=-1/3x+1

y=3x-7

and

y=-1/3x+1, 3 and -1/3 are negative reciprocals which makes these equations perpendicular.

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{2}{ h},\stackrel{-4}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\\\\ [x-2]^2~~ + ~~[y-(-4)]^2~~ = ~~4^2\implies (x-2)^2~~ + ~~(y+4)^2~~ = ~~16[/tex]

Answer:

False

Step-by-step explanation:

The measure of an acute angle is less than 90°

Answer: divide by 10

Step-by-step explanation: you divide the previous number by 10 to get the next number

Answer:

B. 7

Step-by-step explanation:

7 × n = 42 + 7

7n = 49

n = 49/7

n = 7

______

Hope it helps ⚜

[tex]7 \times n = 42 + 7[/tex]

what the "n" represents

[tex]7 \times n = 42 + 7[/tex]

[tex]7 \times n = 49[/tex]

[tex]n = \frac{49}{7} [/tex]

[tex]n = 7[/tex]

therefore, "n" represents 7.

answer= option B

Answer:

24 [tex]m^{3}[/tex]

Step-by-step explanation:

Volume=l*b*h

as tank is half full so height of water will be 4m

and Voulme will be,

V=3*2*4=24 [tex]m^{3}[/tex]

while capacity of tank is,

V=3*2*8=48  [tex]m^{3}[/tex]

The volume of water in the tank, when it is half full, is 24 cubic meters.

Volume in mathematics and physics refers to how much three-dimensional space is occupied by a substance or an object. It is a measurement of the overall volume of space contained inside a three-dimensional object's limits.

The volume of the rectangular tank is given by the formula:

V = l x b x h

where l is the length, b is the breadth, and h is the height of the tank.

Substituting the given values, we get:

V = 3m x 2m x 8m = 48 cubic meters

If the tank is half full, then the volume of water in the tank is:

Vw = (1/2) * V = (1/2) x 48 = 24 cubic meters

Therefore, the volume of water in the tank when it is half full is 24 cubic meters.

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A compound interest formula is a type of exponential equation. That is option C

Exponential equations are those equations that has their variables as exponents. A typical example of this type of equation is the compound interest formula.

The compound interest formula is an exponential equation because the little sum invested as capital, once the interest is added, the balance will earn more capital during the next compounding period.

Therefore, a compound interest formula is a type of exponential equation.

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Step-by-step explanation:

[tex]distance = 41km[/tex]

[tex]time = 35min = \frac{35}{60} hr[/tex]

[tex]speed = \frac{distance}{time} [/tex]

[tex]speed = \frac{41}{ \frac{35}{60} } [/tex]

[tex]speed = \frac{41 \times 60}{35} [/tex]

[tex]speed = 70.286 \: or \: 70.3km\hr[/tex]

Answer:

x = -1.8

Step-by-step explanation:

Given equation:

[tex]-\dfrac{2}{9} x = \dfrac{2}{5}[/tex]

Part I: Cancel the numerators in the equation (a/d = a/f ⇔ 1/d = 1/f)

[tex]\implies -\dfrac{2}{9} x = \dfrac{2}{5}[/tex]

[tex]\implies -\dfrac{1}{9} x = \dfrac{1}{5}[/tex]

Part II: Use cross multiplication (a/b = c/d ⇔ a × d = b × c) and simplify:

[tex]\implies -\dfrac{1}{9} x = \dfrac{1}{5}[/tex]

[tex]\implies -({x \times 5) = {1 \times 9}[/tex]

[tex]\implies -5x = 9[/tex]

Part III: Divide -5 to both sides of the equation:

[tex]\implies\dfrac{-5x }{-5} = \dfrac{9}{-5}[/tex]

[tex]\implies \boxed{x= \dfrac{9}{-5} = \dfrac{-9}{5} = -1.8}[/tex]

Therefore, the solution is [tex]x = -1.8[/tex].

Answer:

[tex] x = -\dfrac{9}{5} [/tex]

Step-by-step explanation:

[tex] -\dfrac{2}{9}x = \dfrac{2}{5} [/tex]

Multiply both sides by the reciprocal of -2/9 which is -9/2.

[tex] -\dfrac{9}{2} \times (-\dfrac{2}{9})x = -\dfrac{9}{2} \times \dfrac{2}{5} [/tex]

[tex] x = -\dfrac{18}{10} [/tex]

[tex] x = -\dfrac{9}{5} [/tex]

The sequence that maps ΔABC to ΔDEF are represented by three transformations: a horizontal and vertical translation and a counterclockwise rotation.

According to Euclidean geometry, a transformation is rigid if and only if Euclidean distances are conserved for every point of the figure. It is to be noticed that there is more than one manner to obtain the resulting figure.

After a careful inspection both on the statement and on the figure, we conclude that the following sequence of transformations:

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Answer:

Scale factor of 3

Answer:

"Answer: A. m=2;y-int=(0,4);y=2x+4

Step-by-step explanation: I just finished the practice on edge and went back to check the answer. It's 100% correct, swear"

Step-by-step explanation:

Found this on Brainly, hope it helps? :)

Answer:

Hope it helps you......

[tex]\sf{-3\displaystyle\frac{1}{2} }[/tex]

Hope it helps.

Do comment if you have any query.

Step-by-step explanation:

[tex] = \frac{1}{2} \div ( - \frac { 1}{7}) \\ [/tex]

Move the ( - ) sign forward

[tex] = - \frac{1}{2} \div \frac{1}{7} \\ [/tex]

[tex] = - \frac{1}{2} \times \frac{7}{1} \\ [/tex]

[tex] = - \frac{7}{2} \\ [/tex]

By finding the scale factor as a quotient of the two given widths, we will see that the new height is 7.7 in

We assume that the height and the width are reduced by the same scale factor.

Such that the scale factor is given by the quotient between the new width and the original width, so we have:

k = 5.4in/32.7in = 0.1651

Then the new height will be the original height times the above number, which gives:

H =  0.1651*46.5 in = 7.7 in

We conclude that the new height of the painting is 7.7 inches.

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Answer:

The number is 8.

Step-by-step explanation:

Rewrite the word problem as an equation.

The sum of (we will be adding.), half of a number (we can use x, this will be written as x/2.) and double the number (this will be written as 2x) is 20.

To find the number, solve the equation.

x/2 + 2x = 20

Multiply both sides by 2.

x + 4x = 40

Combine terms.

5x = 40

Divide both sides.

x = 8.

Answer:

i think 8 is the answer

Step-by-step explanation:

i am sorry if i am worng

Answer:

b = 2

Step-by-step explanation:

Let f(x) = x² + bx + 2,

[tex]f( - 3) = 5 \\ {( - 3)}^{2} - 3b + 2 = 5 \\ 11 - 3b = 5 \\ 3b = 6 \\ b = 2[/tex]

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

[tex]\\\large\text{ORIGINAL EQUATION: }\\\mathsf{4(3x + 6) - x}\\\large\text{DISTRIBUTE 4 WITHIN the PARENTHESES}\\\mathsf{\rightarrow 4(3x) + 4(6) - x}\\\mathsf{\rightarrow 12x + 24 - x}\\\large\text{COMBINE the LIKE TERMS}\\\mathsf{\rightarrow 12x + 24 - 1x}\\\mathsf{\rightarrow 11x + 24}\\\\\\\huge\text{Therefore, your answer: \boxed{\mathsf{11\bold{x} + 24}}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

34 is the missing number

Step-by-step explanation:

hope this helps:))

Answer:

The width of the photograph is 8 inches

Step-by-step explanation:

hopefully im right

Answer:

The answer would be four dresses.

Step-by-step explanation:

Step 1. Do 16 divided by 3.67
Step 2. Get the answer of 4.53...
Step 3. Round down because it's the number of whole dresses
Step 4. Get the answer of 4.
Hope this helps! Btw, I don't need Brainliest if the other person wants it.

Answer:

They can make 4 dresses

Step-by-step explanation:

Since it is 3.6667 yards per dress, and the amount they have is 16 yards, divide the amount they have by number of yards per dress to get slightly over 4. Since you can't make a percent of a dress, the answer would be 4.

164

the unknown angle x.

angle at a point= 360°

x= 360 - ( 164 + 90) (because that's a right angle)

x= 360 - 254

x= 106°

Answer: [tex]75mm^2[/tex]

Step-by-step explanation:

The formula for the area of a paralellogram is:

bh=a

Where

b is the base (15 for this)

h is the height (5 for this)

and a is the area

Let's sub our values into the formula

[tex]bh=a\\(15)(5)=a[/tex]

Now solve

[tex](15)(5)=a\\75=a[/tex]