60 millions barrels and 34% gas and 29% diesel how many barrels are there total

Given that

(2+i)²/(3+i)

On multiplying both numerator and the denominator with (3-i) then

⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]

⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]

⇛ [(2+i)²(3-i)]/[(3²-i²)

⇛ [(2+i)²(3-i)]/(9-i²)

⇛ [(2+i)²(3-i)]/[9-(-1)]

Since ,i² = -1

⇛ [(2+i)²(3-i)]/(9+1)

⇛ [(2+i)²(3-i)]/10

⇛ [{2²+i²+2(2)(i)}(3-i)]/10

⇛ (4+i²+4i)(3-i)/10

⇛ (4-1+4i)(3-i)/10

⇛ (3+4i)(3-i)/10

⇛ (9-3i+12i-4i²)/10

⇛ (9+9i-4(-1))/10

Since, i² = -1

⇛(9+9i+4)/10

⇛(13+9i)/10

⇛ (13/10)+ i (9/10)

We know that

The conjugate of a+ib is a-ib

So,

The conjugate of (13/10)+ i (9/10) is

(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)

Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)

Additional comment:

Answer:

The Y intercept is -10

The X intercept is 3

Answer:

x=10

Step-by-step explanation:

(17+x+10+51+17)/5=21

95+x=105

x=10

The required value of x for the given mean of the data is x = 10.

In order to find the mean for a sample, first count the number of data in a sample, say n. Then, do the summation of all the values in that sample and divide it by the number of data obtained earlier.

Mathematically, it can be written for n number of data x₁, x₂, x₃, ..... as,

Mean = ( x₁ + x₂ + x₃ + .....)/n.

Given that,

The mean of  17, x, 10, 17 and 51 is 21.

It can be written in mathematical form as,

(17+ x + 10 + 17 + 51 )/5 = 21

=> 17+ x + 10 + 17 + 51 = 21 × 5

=> x = 105 - 95

=> x = 10

Hence, for the given data the value of x is 10.

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Umm...

What is your question??? You have no question in the question box or attachments.

The height of the board is an illustration of Pythagoras theorem

The ramp will rise 10.3 inches from the ground

The angle of elevation is given as:

[tex]\mathbf{\theta = 19^o}[/tex]

The length of the board is given as:

[tex]\mathbf{l = 30}[/tex]

The height h is calculated using the following tangent ratio

[tex]\mathbf{tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]

So, we have:

[tex]\mathbf{tan(19) = \frac{h}{l}}[/tex]

This gives

[tex]\mathbf{tan(19) = \frac{h}{30}}[/tex]

Make h the subject

[tex]\mathbf{h = 30 \times tan(19)}[/tex]

[tex]\mathbf{h = 10.3}[/tex]

Hence, the ramp will rise 10.3 inches from the ground

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Answer:

parallel lines are two lines drawn next to each other without a intersection

[tex]7(\frac{9}{4}x- \frac{18}{7})= -\frac{5}{21} +\frac{17}{7}x <=> \frac{63}{4}x-18 =-\frac{5}{21}+ \frac{17}{7}x\\ <=>\frac{63}{4}x - \frac{17}{7}x = 18-\frac{5}{21}<=>\frac{373}{28} =\frac{373}{21} <=>x=\frac{4}{3}[/tex]

ok done. Thank to me :>

Answer:

Slope(m)=3

Y-intercept= 0

y = 3x +0

Proportional

Step-by-step explanation:

m = -6--12/-2--4

m=6/2

m=3

-12 = 3(-4) + b

-12 = -12 + b

0=b

Answer:

slope, m = 3

y-intercept, b = 0

Proportional

Step-by-step explanation:

If we assume this is a straight line, we can  calculate the slope between two  of the given points.  I'll pick (-2,-6) and 2,6).

Slope is the Rise (the change in y) over the Run (the corresponding change in x).

Rise for these two points:  6 - (-6) = 12

Run for the points is:  2-(-2) = 4

Rise/Run (Slope) = 12/3 = 4

The line becomes y=3x+b

b is the y-intercept.  We can either solve for b by entering one of the points, but the y-intercept is the value of y when x=0.  Behold:  one of the points is (0,0), so we already have b.  It is 0.

y=3x+0

y=3x is the equation.

slope, m = 3

y-intercept, b = 0

A non-proportional graph is a straight line that does not go through the origin.  A proportional graph is one that does, so this is a proportional graph.

The system of equations that can be used to model the situation is:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Together they packed 27 boxes, hence:

[tex]x + y = 27[/tex]

David packed 3 more than half the number Juan packed, hence:

[tex]y = 3 + \frac{1}{2}x[/tex]

Hence, the system of equations that models the situation is:

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Step-by-step explanation:

option C is correct!

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. Let us see an example of this conversion

Step-by-step explanation:

Convert 23/4 into a mixed fraction

Answer:

95=35

35=95

x=14

y=95

x=14

Step-by-step explanation:

Answer:

10 in

10\pi

Step-by-step explanation:

Diameter = 2× radious

[tex]c = 2 \times \pi \times r = 2\pi \times 5 = 10\pi[/tex]

Answer:

you would have to subtract the points a and b to get question a. And for c, you would have to mark it on a graph in order for it to show. I am pretty sure this is how you do it. Sorry I tried my best, plz don't come at me if it is wrong.

Step-by-step explanation:

Answer:

you need to subtract the points a and b to get the question a.  for c, you need to mark it on a graph in order for it to show. I sure this is how you do it

i tried my best

hope it helps

Answer:

6 feet and 8 inches

Step-by-step explanation:

1 foot = 12 inches

Answer: 6ft & 8 inches

Step-by-step explanation: 12 inches = 1 feet

2 feet = 24

3 feet = 36

4 feet = 36

5 feet = 60

6 feet = 72

80 - 72 = 8

6ft & 8 inches

Answer:

8%

Step-by-step explanation:

1 dollar is 100 cents. 1 nickel and 3 pennies is 5+3 = 8 cents. 8 cents would be 8/100 = 8% of 100.

1 nickel and 3 pennies is  5.000000681 percent of a dollar.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

We know 1 nickels which is equal to 5 cents = 0.05 dollars.

1 penny = 0.00000000227 dollars

∴ 3 pennies is = 0.00000000681.

∴ 1 nickel and 3 pennies = 0.05000000681.

∴ 1 nickel and 3 pennies is (0.05000000681/1)×100% of a dollar.

= 5.000000681% of a dollar.

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Answer:

-2+10=8

Step-by-step explanation:

subtracting a negative is the same as adding a positive

(also they are like terms so this could be written as 10-2 but use the first one bc that's what they want)

Answer:

y=30

x=60

Step-by-step explanation:

The triangle has all sides equal therefore all the angles are equal.

For all the angles to be equal and add up to 180 (sum of angles in a triangle is 180), each angle has to be 60.

Therefore y=90-60

=30

x=180-(30+90)

=60

Answer:

  61°

Step-by-step explanation:

We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.

  ∠PMR = 90° -29° = 61°

Answer:

All four

Step-by-step explanation:

SSS, SAS, ASA, and HL

Answer:

9

Step-by-step explanation:

99 : 66 ( divide both parts by 11 )

= 9 : 6

Answer:

Step-by-step explanation: she can read 15  pages an hour but she read for 2 hours so she read 30 pages

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) [tex]5^{\frac{2}{3} }[/tex] is in exponential form.

Now, radical form is [tex]\sqrt[3]{5^{2} }[/tex]

2) [tex]5^{\frac{1}{2} }[/tex] is in exponential form.

Radical form is [tex]\sqrt{5}[/tex]

3) [tex]3^{\frac{2}{5} }[/tex] is in exponential form.

Radical form is [tex]\sqrt[5]{3^{2} }[/tex]

4) [tex]3^{\frac{5}{2} }[/tex] is in exponential form.

Radical form is [tex]\sqrt{3^{5} }[/tex]

Answer: The answer is 24

Step-by-step explanation:32/8 is 4. You just multiply 6 by 4.=24

Answer:

x = 24

Step-by-step explanation:

We require

[tex]\frac{6}{x}[/tex] = [tex]\frac{8}{32}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )

x = 6 × 4 = 24

Step-by-step explanation:

x = -2

is a given.

now use this also in the first equation :

y = 2/3 × -2 + 3 = -4/3 + 9/3 = 5/3

so, [-2, 5/3] is correct

Answer:

The slope is unidentified

Step-by-step explanation:

The equation of the line is x=4