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Stella [2.4K]
2 years ago
13

The health department estimates that eight vials of malaria Serum will treat 100 people. at this rate, how many vials are requir

ed to treat 175 people
Mathematics
1 answer:
lara [203]2 years ago
5 0
Using butterfly method, it is 14 vials

You might be interested in
Select the correct answer. Which expression is equivalent to 8x^2^3 sqrt 375x + 2^3 sqrt 3x^7, if x=0?
natima [27]

Answer:

(8x^3)^ \frac{2}{3} \sqrt{75x^3}  + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}

Step-by-step explanation:

The question is poorly formatted. The original question is:

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7

We have:

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7

Open bracket

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}

Express 8 as 2^3

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}

Express 2^3 as 8

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}

Expand each exponent

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}

Split

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}

(8x^3)^ \frac{2}{3} \sqrt{75x^3}  + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3

(8x^3)^ \frac{2}{3} \sqrt{75x^3}  + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}

Factorize

(8x^3)^ \frac{2}{3} \sqrt{75x^3}  + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}

4 0
2 years ago
Read 2 more answers
What is the slope of a trend line that passes through the points (–3, 3) and (18, 26)?
ipn [44]

Answer:

slope = \frac{23}{21}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (18, 26)

m = \frac{26-3}{18+3} = \frac{23}{21}

7 0
3 years ago
Read 2 more answers
4. What is the percent of 88 is 33?
IRISSAK [1]
33 = 88x
x = 33/88
x = .375 = 37.5 percent
6 0
2 years ago
Given that F(x) = x 2 + 2, evaluate F(2).<br> 0<br> 2<br> 6
belka [17]
Answer 6

2^2+2
4+2=6
Got it
4 0
3 years ago
Read 2 more answers
A circular mirror is surrounded by a metal frame. The radius of the mirror is 2x. The side length of the metal frame is 12x. Wha
meriva

Answer:

Area\ of\ th\e metal\ frame = 65.5x^{2}\ (unit)^{2}

Step-by-step explanation:

Assuming that the metal frame is a square metal frame because the length of the side of the metal frame is given.

Given:

Radius of the mirror = 2x unit

Side length of the square metal frame = 12x unit

We need to find the area of the metal frame.

Solution:

First we find the area of the circular mirror, using area formula of the circle.

A_{c} = \pi r^{2}

Where, r = Radius of the object.

Substitute r = 2x in above equation.

A_{c} = \pi (5x)^{2}

A_{c} = \pi (25x^{2})

A_{c} = 25\pi x^{2}\ (unit)^{2}

Now, we find the area the square, using area formula of the square.

A_{S} = (Side\ length)^{2}

A_{S} = (12x)^{2}

A_{S} = 144x^{2}\ (unit)^2}

So, the area of the square metal frame is given as

A_{f}=A_{s}-A_{c}

A_{f}=144x^{2}-25\pi x^{2}

A_{f}=(144-25\pi) x^{2}

A_{f}=(144-25\times 3.14) x^{2}

A_{f}=(144-78.5) x^{2}

A_{f}=65.5 x^{2}\ (unit)^{2}

Therefore, the area of the metal frame is 65.5x^{2}\ (unit)^{2}.

5 0
2 years ago
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