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seraphim [82]
4 years ago
15

Z/5 - 5= 3 1/4. Please help me find the solution

Mathematics
1 answer:
elena-s [515]4 years ago
7 0
Ok so first we need to get the variable on a different side than the constants. We can add 5 to both sides and get Z/5 = 8 1/4. Just because it easier to deal with, i like to turn a mixed number into an improper fraction so 8 1/4 becomes 33/4. 
now we have Z/5 = 33/4
then multiply each side by 5 to get z alone
so we get z = 165/4
also can be written as 
z = 41 1/4 
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X+(2x+3)+4x²-9=0<br>resoudre equation​
Andru [333]

Answer:

Désolé, mon français est terrible, je vais donc utiliser traduction automatique ici.

x est approximativement égal à 0.906 et  -1.656

Step-by-step explanation:

x + (2x + 3) + 4x² - 9 = 0

4x² + x + 2x + 3 - 9 = 0

4x² + 3x - 6 = 0

Nous ne pouvons pas prendre en compte cela, nous allons donc passer par la résolution de x à la place.

Commençons par compléter le carré:

4x² + 3x = 6

4x² + 3x + 9 / 16 = 6 + 9 / 16

(2x + 3/4)² = 96 / 16 + 9 / 16

(2x + 3/4)² = 105 / 16

2x + 3/4 = ± √105 / 4

2x = -3/4 ± √105 / 4

2x = (-3  ± √105) / 4

x =  (-3  ± √105) / 8

x ≈  0.906,  -1.656

6 0
3 years ago
Find the missing terms of the arithmetic sequence ...,27,?,?,?,53,... Show each step of the process clearly
Alja [10]

Answer:

Step-by-step explanation:

Looking at the arithmetic sequence, the 4th term is 27 the 8th term is 53. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

Therefore, the 4th term, T4 will be

27 = a + (4 - 1) d

27 = a + 3d - - - - - - - - 1

The 8th term, t8 would be

53 = a +(8 - 1) d

53 = a + 7d - - - - - - - - -2

Subtracting equation 1 from equation 2, it becomes

- 26 = - 4d

d = - 26/- 4 = 6.5

Substituting d = 6.5 into equation 1, it becomes

53 = a + 7 × 6.5

53 = a + 45.5

a = 53 - 45.5 = 7.5

The missing terms are

7.5, 14, 20.5, 27, 33.5, 40, 46.5, 53

5 0
3 years ago
A vet borrows $12,000 for 4 years. The total interest paid was $875. What was the interest rate on the loan?
ziro4ka [17]

Answer:

1

Step-by-step explanation:

8 0
3 years ago
What is the area of the composite figure? (6π 4) cm2 (6π 16) cm2 (12π 4) cm2 (12π 16) cm2
raketka [301]

The area of the considered composite figure is given by: Option: 6π + 16 cm²

<h3>How to calculate the surface area of a composite figure?</h3>

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

\text{Area of composite figure} = \sum (\text{Area of composing figures})

That ∑ sign shows "sum"

For this case, the missing image is attached below.

As visible, the area of the figure = Sum of area of those 3 semi circles + Area of that square(its square because it has 4 equal sides in which adjacent sides are perpendicular) in between.

The side of the square is of 2+2=4 cm( as half of its side is 2 cm), thus, Area of that square = 4² = 16 cm²

All those 3 semicircles has radius = 2 cm

Since radius is same, so area of those 3 semicircle is same = \dfrac{\pi r^2}{2} = \dfrac{\pi (2)^2}{2} = 2 \pi\: \rm cm^2

Thus, we get:

Area of the composite figure = 2 \pi +2 \pi +2 \pi  + 16 \: \rm cm^2 = 6 \pi+ 16 \: \rm cm^2

Learn more about area of a composite figure here:

brainly.com/question/10254615

6 0
3 years ago
If the vertex of a parabola is (0, 3), what is the axis of symmetry
GREYUIT [131]

Answer:

The equation of the axis of symmetry for this parabola is x = 0.

Step-by-step explanation:

For parabola's, it's axis of symmetry always goes through the vertex of the parabola. In other words, the axis of symmetry is vertical line that goes through the x-coordinate of the vertex.

Now, the vertex is given as (0,3) which is at x = 0, y = 3.

Thus, the vertical line that goes through the x-coordinate of the vertex will be x = 0

Thus, the equation of the axis of symmetry for this parabola is x = 0.

7 0
3 years ago
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