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An experiement on the toxicity of mercury is conducted on a group of 85 lab rats. When all the rats are given a dose of 39 mg/kg, 40 of the test subjects died from overdosing of mercury.

What is the death rate (in percentage %) at this dosage?
Round your answer to the nearest whole number!

Answer:

1) -1

2) -1/4, 4

Step-by-step explanation:

1)

The first equation is

y = -x + 5

Comparing with

y = mx + b, we see thqat the slope, m, is -1

1) Answer: slope = -1

2)

The equations are

y = -1/4 x + 2 and

y = 4x + 8

Comparing the two equations with y = mx + b, we see that the slopes are

-1/4 and 4

2) Answer: slope = -1/4; slope = 4

Answer:

For the first one, we see that from one point to another it rises one and goes to the left one. This means the slope is 1/-1, which is -1.

For the second one, the slope of the first equation is -1/4, and the slope of the second equation is 4/1, or 4. Since the lines are perpendicular in 2, the two lines will be opposite reciprocals of each other.

Answer:

b

Step-by-step explanation:

To find the y- intercept, let x = 0 in the equation and solve for y, that is

y = [tex]log_{10}[/tex](0 + 100) - 4

  = [tex]log_{10}[/tex] 100 - 4

  = 2 - 4

 = - 2 ← y- intercept → b

The y-intercept of the function y = log (x + 100) - 4 is -2

The y-intercept is the point where the line intersects the y-axis.

Given a function, y = log (x + 100) - 4

Solving for the y- intercept,

Let x = 0 in the equation and solve for y, that is

y = log(0 + 100) - 4

=  log100 - 4

= 2 - 4

= -2

Hence, The y-intercept of the function y = log (x + 100) - 4 is -2

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Answer:ahhhh

Step-by-step explanation:

I hope this helps

Answer:

[tex]\frac{8}{9} /12=\frac{2}{27}[/tex]

The GCF of 45 and 60 is 15

The GCF of 20 and 32 is 4  

The GCF of 16 and 24 is 8

Answer:

answer will be 5/17 as I have just substitute the number

The ratio of [tex]a[/tex] to [tex]b[/tex] is [tex]6[/tex] to[tex]1[/tex] and the ratio of [tex]b[/tex] to [tex]c[/tex] is [tex]12[/tex] to [tex]1[/tex], then the value of [tex]\frac{2a + 3b}{4b + 3c}[/tex]  is  [tex]\frac{180}{51}.[/tex]

Ratio is used to compare to things i.e. numbers, size etc.

We have,

[tex]\frac{a}{b} = \frac{6}{1}[/tex]  and  [tex]\frac{b}{c} = \frac{12}{1}[/tex]

From the above given data we have to make value [tex]b[/tex] same in both ratios;

Therefore multiply [tex](\frac{a}{b})[/tex] ratios from [tex]12[/tex],

We get,

[tex]\frac{a}{b} = \frac{72}{12}[/tex]   and   [tex]\frac{b}{c} = \frac{12}{1}[/tex]

So,

[tex]a=72,\\b=12,\\c=1[/tex]

Now, putting above values in [tex]\frac{2a + 3b}{4b + 3c}[/tex],

[tex]=\frac{2(72) + 3(12)}{4(12)+ 3(1)}[/tex]

[tex]=\frac{180}{51}[/tex]

Hence we can say that The ratio of [tex]a[/tex] to [tex]b[/tex] is [tex]6[/tex] to [tex]1[/tex] and the ratio of [tex]b[/tex] to [tex]c[/tex] is [tex]12[/tex] to [tex]1[/tex], then the value of [tex]\frac{2a + 3b}{4b + 3c}[/tex]  is  [tex]\frac{180}{51}.[/tex]

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Answer:

2% are purple

Step-by-step explanation:

36/1800 = 0.02 = 2%

Answer:

I think...

its 98% of the flags that are NOT purple

Step-by-step explanation:

36 of 1800 is 2%

Answer:

you need a dotted point starting at 3 and going to to the right

Step-by-step explanation:

the dotted point means x < , x > and since it is greater you always go to the right

Answer:

c = $5,400

Step-by-step explanation:

Given:

c = 0.9s

where,

s = amount sold

c = commission on sales

How much commission will he or she earn if the amount sold is $6,000?

Find c when she = $6,000

c = 0.9s

= 0.9 × 6,000

= 5,400

c = $5,400

(c, s) (5400, 6000)

Answer:

Concept: Modeling expressions

The height of the object that falls after 0.75 seconds given that t is represented in seconds is 191 feet.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The expression 200 - 16t^2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped.

We need to find the time after 0.75 seconds given that t is represented in seconds.

The expression is given

[tex]200 - 16t^2[/tex]

time t = 0.75

Substitute the value of t in the given expression

= 200 - 16(0.75)^2

= 200 - 9

= 191

Hence we get the answer to 191 feet.

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Answer:

2 1/3

Step-by-step explanation:

1 3/4  is equivalent to 7/4

1 1/3 is equivalent to 4/3

7/ 4 x 4/3

reduce with greatest common factor so the two 4 are out (show a line crossing out the top and bottom 4 )

now you're left with 7 x 1/3 = 7/3

7/3 = 2 1/3

The product of two given mixed fractions is [tex]2\frac{1}{3}[/tex].

The given mixed fractions are [tex]1\frac{3}{4}[/tex] and [tex]1\frac{1}{3}[/tex].

The product of two fractions is the product of the numerators and the product of the denominators.

Product of two fractions = Product of their denominators / Product of their numerators.

Here, the mixed fraction [tex]1\frac{3}{4}[/tex] can be written as [tex]\frac{7}{4}[/tex] and the mixed fraction [tex]1\frac{1}{3}[/tex] can be written as [tex]\frac{4}{3}[/tex].

Now, 7/4 × 4/3

= 7/3

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

Therefore, the product of two given mixed fractions is [tex]2\frac{1}{3}[/tex].

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Answer:

D. 15yd^2

Step-by-step explanation:

Area of triangle: A = bh/2

A = 10(3) / 2

A = 30 / 2

A = 15yd^2

Answer:

The missing angle is about 27.92°.

Step-by-step explanation:

This is a tangent equation, as there is no hypotenuse value. I'll use x as the missing angle.

tan(x) = opposite/adjacent

tan(x) = 20/38

tan(x) = 0.52631578947368421052631578947368

tan(x) ≈ 0.53

Now, we have to reverse.

tan⁻¹(0.53) = x

27.92358972 = x

x ≈ 27.92°

Answer:

What is the question?

Step-by-step explanation:

Answer:

b=-3

Step-by-step explanation:

hope this helps!

in right angle traingle two angle are equal

so.x=y

in triangle

x+y+90=180(sum of interior angle of triangle)

2x=180-90

x=90/3=45°

Answer:

an =24−2n

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Scale factor = 3/12 = 1/4

Answer:

8x^3y^9

Step-by-step explanation:

just multiply 4 by 2. then, add each exponent. for example, there is x² and there is x, so do x² × x = x³. then do y³ × y^6 = y^9.

Answer:

ans of an 1 is option b

Step-by-step explanation:

because x and y both are +ve

Answer:

J and I

Step-by-step explanation:

anything els?.... let me know

Answer:

The function y = 5 [tex](.98)^{x}[/tex] represents exponential decay

The percentage rate of change is 2%

Step-by-step explanation:

The formula of the exponential growth is y = a [tex](1+r)^{x}[/tex], where

The formula of the exponential decay is y = a [tex](1-r)^{x}[/tex], where

Let us solve the question.

∵ y = 5 [tex](.98)^{x}[/tex]

→ Compare it with the forms above

∴ a = 5

∵ The rate of change is .98

∵ .98  < 1

→ That means the rate of change is decreasing

∴ The function y = 5 [tex](.98)^{x}[/tex] represents exponential decay

→ From the 2nd form above

∵ (1 - r ) = .98

→ Subtract 1 from both sides

∴ 1 - 1 - r = .98 - 1

∴ - r = - .02

→ Divide both sides by -1

∴ r = .02

→ Multiply it by 100% to change it to a percentage

∵ .02 × 100% = 2%

∴ r = 2%

∴ The percentage rate of change is 2%

Answer:

See under for the sequence

Step-by-step explanation:

The term with -X⁴ comes first because 4 is the highest power of x.

Then comes 7x³y³ because 3 is the second highest power

Then 2x²y⁴ because 2 comes next

Then -3xy⁵ because x is raised to 1 power which is the lowest

Answer:

The last answer.

Step-by-step explanation:

It looks to be the correct answer because for the one above you can't simplify 27 by 5.