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3 years ago

14

doctors use gallium in scanning some patients for diseases the table shows the amount of gallium in mg remaining in a patients s

ystem after t hours which exponential function best represents the data.

1 answer:

Blababa [14]3 years ago

7 0

Step-by-step explanation:

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The vertex of this parabola is (2,-1). When the y value is 0, the x value is 5. What is the coefficient of the squared term in t

Schach [20]

Vertex form: y = a(x - h)² + k
h = 2
k = -1
y = 0
x = 5

0 = a(5 - 2)² - 1
0 = 9a - 1
a = 1/9

5 0

3 years ago

Define the value of the expression 3^2 x 3^{-5}

Tanya [424]

Answer:

Between 0 and 1

Step-by-step explanation:

The given expresion is

${3}^{2} \times {3}^{ - 5}$

Recall that:

${a}^{m} \times {a}^{n} = {a}^{m + n}$

We apply this property of exponents to get;

${3}^{2} \times {3}^{ - 5} = {3}^{2 + - 5} = {3}^{ - 3}$

We rewrite to obtain a positive index as:

${3}^{2} \times {3}^{ - 5} = \frac{1}{ {3}^{3} } = \frac{1}{27}$

Therefore the value of the expression is between 0 and 1.

8 0

3 years ago

Which of the following is equivalent to tan 5pie/6?<br>

nataly862011 [7]

Answer: should be -1/ sqrt of 3. If it asks to rationalize it could be -sqrt of 3/3

Step-by-step explanation:

5 0

3 years ago

A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than

ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

A cuboid has 6 faces.
A cuboid contains 8 vertices.
A cuboid contains 12 edges .
The total surface area of a cuboid is

= 2(length×breadth+breadth×height+length×height) square units

The dimension of a cuboid is written as length×breadth×height.

The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

$=[x\times 2x\times (x+2)]$ cubic inches

$=[2x^2(x+2)]$ cubic inches

$=(2x^3+4x^2)$ cubic inches

According to the problem,

$2x^3+4x^2=192$

$\Rightarrow 2x^3+4x^2-192=0$

$\Rightarrow 2(x^3+2x^2-96)=0$

$\Rightarrow (x^3+2x^2-96)=0$

$\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0$

$\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0$

$\Rightarrow (x-4)(x^2+6x+24)=0$

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

length=(2×4) inches=8 inches

and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

8 0

3 years ago

Need this ASAP please help!#2

myrzilka [38]

Answer:

The correct option is 3.

Step-by-step explanation:

From the given graph it is noticed that the related line passing through the point (-3,1) and (0,3).

If a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of related line is

$y-1=\frac{3-1}{0-(-3)}(x-(-3))$

$y-1=\frac{2}{3}(x+3)$

$y-1=\frac{2}{3}(x)+2$

Add 1 on both the sides.

$y=\frac{2}{3}(x)+2+1$

$y=\frac{2}{3}(x)+3$

The equation of related line is $y=\frac{2}{3}(x)+3$ .

The related line is a dotted line, it means the point on the line does not included in the solution set.

The shaded region is above the line so the sign of inequity is >.

The required inequality is

$y>\frac{2}{3}(x)+3$

Therefore option 3 is correct.

6 0

3 years ago