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expressions equivalent to 0.2(1.3x - 4.2) - x + 6.2

Answer:

1) 1 ÷ 8 = 1/8

2) 0.056 < 0.546          <, because zero-tenths is less than five-tenths

3) 1 ÷ 14 = 1/14

4) 1 ÷ 7 = 1/7

5) 1 ÷ 6 = 1/6

Let's see

#1

The expression is 1/14

#2

The expression is 1/7

#3

The expression is 1/6

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

To solve each compound inequality, we can break it into two separate inequalities and solve each one separately.

For the first compound inequality, f-4<5 and f-4 ≥ 2, we can break it into two separate inequalities: f-4<5 and f-4>2. Solving these inequalities separately, we get:

f-4<5

f<9

f-4>2

f>6

Therefore, the solution to the compound inequality is 6<f<9.

For the second compound inequality, y-1 ≥7 or y+3<-1, we can break it into two separate inequalities: y-1>=7 and y+3<-1. Solving these inequalities separately, we get:

y-1>=7

y>=8

y+3<-1

y<-4

Therefore, the solution to the compound inequality is y<-4 or y>=8.

For the third compound inequality, -5<3p+7≤22, we can break it into two separate inequalities: -5<3p+7 and 3p+7≤22. Solving these inequalities separately, we get:

-5<3p+7

3p>-12

p>-4

3p+7≤22

3p≤15

p≤5

Therefore, the solution to the compound inequality is -4<p≤5.

Answer:

6cm, 6cm, 13cm

4cm, 10cm, 14cm

5cm, 11cm, 15cm

Answer:

Female: 93/328

Male: 71/328

Adult: 103/328

Baby: 61/328

Step-by-step explanation:

Answer:

Answer is given below with explanations.

Step-by-step explanation:

\(a \: bag \: has \: 5\: apples \: , \:10 \: oranges \: and \: 5 \: peaches \\ n(S) = 5 + 10 + 5 \\ n(S) = 20 \\ let \: A \: be \: an \: event \: of \: pulling \: out \: an \: apple \\ P(A) = \frac{n(A)}{n(S)} \\ n(A) = 5 \\ P(A) = \frac{5}{20} \\ (reduced \: fraction) = \frac{1}{4} \\ (decimal) = 0.25 \: percent \\ this \: is \: an \: example \: of \\ \: theoritical \: probability \\ sample \: space \: is \: given \: in \: image\\ in \: this \: case \: this \: event \: is \: compound \: event. \\ let \: O \: be \: an \: event \: of \: pulling \: an \: orange \: ball \\ n(O) = 10 \\ P(O) = \frac{n(O)}{n(S)} \\ P(O) = \frac{10}{20} \\ (reduced \: fraction \: ) = \frac{1}{2} \\ decimal = 0.50 \: percent \\ the \: pulling \: of \: orange \: is \: more \: likely \: to \: occur. \\ because \: it \: has \: highest \: probability \: percentage.\)

Answer: a,c,d,f

Step-by-step explanation: trust me

Answer:

46in

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I just took the test: 24.4, 25.6

Answer:

its D

Step-by-step explanation:

i did this too and i think it was (-3, 7)

Step-by-step explanation:

Hope this helps =)

Let's start b writing down coordinates of all points:

A(0,0,0)

B(0,5,0)

C(3,5,0)

D(3,0,0)

E(3,0,4)

F(0,0,4)

G(0,5,4)

H(3,5,4)

a.) When we reflect over xz plane x and z coordinates stay same, y coordinate  changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.

A(0,0,0)

Reflecting

A(0,0,0)

B(0,5,0)

Reflecting

B(0,-5,0)

C(3,5,0)

Reflecting

C(3,-5,0)

D(3,0,0)

Reflecting

D(3,0,0)

b.)

A(0,0,0)

Moving

A(-2,-3,1)

B(0,-5,0)

Moving

B(-2,-8,1)

C(3,-5,0)

Moving

C(1,-8,1)

D(3,0,0)

Moving

D(1,-3,1)

Answer:

Step-by-step explanation: distrubute, 2x+10=x+10

Answer:

35 degree

Step-by-step explanation:  Because it has equal lines on the other side at the top right.

Answer:

Step-by-step explanation:

angle EBC and angle ABH are both 34 degrees. angle ABE and angle CBH are both 146 degrees.

Answer:

Galaxy phones = 383

Iphones=573

Answer:

5%

Step-by-step explanation:

Lets say 10 add a 0 = 100 9.5 add a 0 = 95.0 (move ok decimal place) so there is a 5% error.

Step-by-step explanation:

1.) 5x-4y=20

y=5/4x-5

5x/4-5=0

x=4

2.) 3x+3y=15

y=-x+5

x+5=0

-x=-5

=x=5

3.) y=3/4x-2

3/4x-2=0

x=0

3x4x/4 -2 x4x-0x4x

3-2x4x=0x4x

3-8x=0

8x=-3

=x=3/8

4.) y=3/2x+3

3/2x+3=0

x=0x

3x2x/2+3x2x=0x2x

3+3x2x=0x2x

3+6x=0

6x=-3

x=_3/6

=x=-1/2

Answer:

Between 14 cm and 32 cm

Step-by-step explanation:

The third side of the triangle but be shorter than the sum of the two given sides, 9+23=32 cm. At the same time, the third side must be longer than the difference, 23-9=14 cm. The measure if the third side is between 14 cm and 32 cm.

Answer:

x<6 this is the answer because the circle is hallow (not including) and going left (less than)

Answer:

x<6

Step-by-step explanation:

Look at the way the blue arrow is pointing that means less than and the circle is open so it is not equal to the number 6.

Answer:

60

Step-by-step explanation:

Answer: First blank is 15 then 28 then 25 in the last blank.

Step-by-step explanation:

On the left side column it is going up by 5 and the right column is going up by 7.

Answer:

the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis

Answer:

21

Step-by-step explanation:

14 bull's eyes (or hits) and 16 misses.  

The 14 hits earned her five points each, or a total of 70 points.  

The 16 misses cost ten points each, or a total of 160 points lost.  

14 + 16 = 30  

70 - 160 = -90  

SOLUTION:  

points = 5H - 10M = -90 where H = hits and M = misses  

tries = H + M = 30 therefore  

H = 30 - M  

and 5(30 - M) - 10M = -90  

150 - 5M -10M + 90 = 0  

240 -15M = 0  

15M = 240  

M =16  

H = (30 - M) = 16

Answer: y=-3x+1

Step-by-step explanation:

1. Use the formula \(\frac{y2-y1}{x2-x1}\)

2. Subsitute:

\(\frac{4-(-2)}{-1-1}\) => \(\frac{6}{-2}\)

3. Solve for m in the equation y=mx+b:

m=-3(from step above)

4. y+2=-3(x-1)

=> y+2=-3x+3 => y=-3x-1

Have a nice day! :D

Answer:

the distance from church to school is 1 . 25km and the distance from school to home is 1 . 52km.how much is it from school to home than from church to school in metres

Answer: The answer is A

Step-by-step explanation: 0.40 times 1000 is 400 and 40 percent of 1000 is 400

The percent of people of the people surveyed were satisfied with the car is  the percent of people of the people would buy that type of car again, so we have:  2015 ÷ 3100 × 100% = 65%

ANSWER: 65%

Ok done. Thank to me :3

Answer:

2015 / 3100%= 65%

Step-by-step explanation:

You could never tell how many people there are in this world. So that is why the 3100 should have a percentage which is divided by 2015, equals 65%.