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2 years ago

Plzzzzzzzzzz help fast

Mathematics

2 answers:

irakobra [83]2 years ago

7 0

Answer:

Step-by-step explanation:

Add 2 to both sides.

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

Substitute in the values of a , b , and c .

Evaluate the result to find the discriminant.

Simplify Each Term.

asambeis [7]2 years ago

3 0

Answer:

76.

Step-by-step explanation:

Here, a=3, b=-10 and c=2. Substitute the values, Therefore, the discriminant of is 76.

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John invested $17,500 that

babymother [125]

Answer:

<u>The future value of the investment after 10 years is $ 29,240.53</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Principal = $ 17,500

Interest rate = 5.2% = 0.052 compounded semiannually

Time = 10 years = 20 semesters

2. What is the future value of the investment after 10 years?

Let's use the formula of the Future Value, to calculate it for this investment:

FV = P * (1 + r) ⁿ

Let's replace with the real values:

FV = 17,500 * (1 + 0.052/2)²⁰

FV = 17,500 * 1.670887521

6 0

2 years ago

the length of a rectangle is twice its width the perimeter is 48 cm what are the dimensions of the rectangle

inysia [295]

Answer:

The length=16cm and the width=8cm.

Step-by-step explanation:

Given that the length is twice the breadth or width of the rectangle

Let's assume that the breadth of the rectangle is x.

Thus the length is 2x.

Given perimeter=48cm

The formula for the perimeter of a rectangle is 2(l+b) where l is length and b is breadth.

2(x+2x)=48

(3x)=48/2

3x=24

x=8cm

2x=16cm

5 0

2 years ago

Read 2 more answers

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

3 0

2 years ago

Please help me id really appreciate it

loris [4]

Answer:

Step-by-step explanation:

1. 2/5

2. 9/20

3. 0.43

4. 40.2%

5. 42%

6. 0.403

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

I truely hope this is right & i hope this helps you ! <3

5 0

2 years ago

Write 4.625 as a mixed number in a simplest form

Scorpion4ik [409]

The whole part will be the 4. The fraction part will be the decimal. That converts to the fraction 25/40. Therefore, 4.625 as a mixed number is 4 and 25/40.

3 0

3 years ago