How do you find the distance between two points on the coordinate plane that are in different
quadrants?

Answer:

B

Step-by-step explanation:

What is 15% of 60 is nothing but What equals 15% of 60 or What = 15% of 60

Therefore, Drug C has a stronger impact on cell survival compared to Drug A, making it the drug with the greatest effect.

To draw a representation of the survival curve and identify the drug that has the greatest effect on cell survival, we can use a graph where the x-axis represents the drug concentration in μg/ml, and the y-axis represents the percentage of cell survival.

Since Drug B has no IC90 value, it means that it does not reach a concentration that causes a 90% reduction in cell survival. Therefore, we can assume that Drug B has no significant effect on cell survival and can omit it from the survival curve.

For Drug A and Drug C, we have IC90 values of 5 and 3 μg/ml, respectively. This means that when the drug concentration reaches these values, there is a 90% reduction in cell survival.

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The purpose of using prefix in the metric system is to properly sale the basis of the unit so large numeric values can be used effectively.

If the metric system is not properly prefixed it can lead to various inconsistencies in the the numeric values. for example if you go to a computer store and you do not know the scale like (kb, mb, gb, tb) you will get quite confused about what is the sales representative saying

Consider you went to a store to get sugar and you do not know the metric system say(gram, kg, mg) you would not know how much sugar you need directly by taking it in your hands.

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\(\huge\boxed{\sf{Solution:}}\)

\(\bigstar\)10m=-5(m-7)

\(\bigstar\)10m=-5m+35

\(\bigstar\) -5m+10m=35

\(\bigstar\)15m=35

\(\bigstar\) m=\(\displaystyle\frac{35}{15}\)

\(\bigstar\) m=\(\displaystyle\frac{7}{3}\)

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-0.477  is the value of log 1 by 3 .

A logarithm is defined simply?

The logarithm represents the power to which a number must be raised to obtain another number (see Section 3 of this Math Review for more about exponents).

For instance, since ten raised to the power of two equals 100, the base ten logarithm of 100 is 2: log 100 = 2.

log (1/3)

= log1 - log3

= 0 - 0.477

 = -0.477

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Answer:

Recursive formula;a_n = [a_(n - 1)] + 2

7th term = 24

Step-by-step explanation:

This is an arithmetic progression question that follows the formula;

A_n = a + (n - 1)d

Where;

A_n is the nth term

a is first term

n is total number of terms

d is the difference

We are told that front row has 12 seats

Thus; a1 = 12

Difference in number of seats as we progress is 2. Thus, d = 2

Now, recursive formula is given by;

a_n = [a_(n - 1)] + d

So in this case, recursive formula is;

a_n = [a_(n - 1)] + 2

Now, a1 = 12

Thus;

a_2 = [a_(2 - 1)] + 2

a_2 = (a_1) + 2

a_2 = 12 + 2

a_2 = 14

Similarly;

a_3 = (a_2) + 2

a_3 = 14 + 2

a_3 = 16

a_4 = (a_3) + 2

a_4 = 16 + 2

a_4 = 18

a_5 = (a_4) + 2

a_5 = 18 + 2

a_5 = 20

a_6 = (a_5) + 2

a_6 = 20 + 2

a_6 = 22

a_7 = (a_6) + 2

a_7 = 22 + 2

a_7 = 24

A 90% confidence interval based on a sample of size 200 would be more reliable than the original 90% interval.

This is because the larger sample size gives the interval a larger margin of error, meaning the interval is more likely to contain the true population means. This is due to the greater number of data points used to calculate the mean, which reduces the possibility of outliers skewing the results.

Additionally, the larger sample size increases the power of the test, meaning that the probability of getting a statistically significant result is increased. Therefore, the 90% confidence interval based on a sample of size 200 would be more reliable than the original 90% interval.

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Answer:

738cm^3

Step-by-step explanation:

You just multiply everything together

12.3 * 7.5 * 8 = 738cm^3

Using Pythagoras theorem the hypothenuse of the figure is 32.5 feet

Pythagoras theorem is defined as “In a right-angled triangle,  the square of the hypotenuse must be equal to the sum of squares of the other two sides". The sides of this triangle  are legs and hypotenuse. The hypotenuse is the longest side, as it is opposite to the angle 90°.

The formula of Pythagoras theorem is given as

c² = a² + b²

Taking the two sides given, we can find the hypothenuse of the right angle triangle figure

c² = 26² + 19.5²

c² = 676 + 380.25

c = √1056.25

c = 32.5

The distance from the top of the pole to the stake is 32.5 feet

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Answer:

see attached diagram

Step-by-step explanation:

You have three functions with restricted domains:

f(x) = 3

f(x) = 2x + 1

f(x) = -2

We used a closed point for ≤ and ≥

and an open point for < and >

As the domain of f(x) = 3 is x ≤ -3

we add a closed point at (-3, 3) and then an arrow pointing towards the increasing negative (as x is equal to or less than -3)

As the domain of f(x) = -2 is x ≥ 4

we add a closed point at (4, -2) and then an arrow pointing towards the increasing positive (as x is equal to or greater than 4)

As the domain of f(x) = 2x + 1 is restricted to -3 < x < 4

we add open points at (-3, -5) and (4, 9) and then join them with a segment

Answer:

$3

Step-by-step explanation:

All you have to do is divide 6 by 2  because 50%  is also equal to 1/2

Answer:

18

Step-by-step explanation:

A

since it's a quadratic function

it has a reflection and vertical translation

a. The difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females is -38.

b. The number of standard deviations is -3.33.

c. The pulse rate of 38 beats per minute to a z score is -3.33.

d. The pulse rate of 38 beats per minute is considered very low since it correlates to a z-score of -3.33, which is more than 2 standard deviations underneath the mean.

a. The difference between the female mean pulse rate and the 38 beats per minute pulse rate is equal to x - 38 - 76 = -38.

b. We divide the difference by the standard deviation to determine the number of standard deviations in this:

z = (38 - x) / s = (-38) / 11.4 = -3.33

As the difference is below the mean by roughly 3.33 standard deviations.

c. To translate 38 beats per minute pulse rate into a z-score:

z = (38 - x) / s = (38 - 76) / 11.4 = -3.33

d. The 38 beats per minute pulse rate would be regarded as substantially low since it equates to a z-score of -3.33, which is greater than 2 standard deviations below the mean.

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The quadratic formula is:

\(y = ax^{2} + bx + c\)

To complete the square, take half of the b coefficient and square it. Zero it out in the equation by adding and subtracting it. Use the order of operations (PEMDAS) and solve for x.

I hope this helps. Let me know if you want me to clarify anything or if you have any questions!

The solution of the given quadratic equation is x = -1 ±√2

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called the solution of quadratic equation f(x) = 0. This solution gives values of x, also when we plot x and f(x), we will see that the graph intersects the x-axis at its solution points.

The quadratic formula is given as;

x² + 2x =1

Then its solutions are given as;

\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

\(x = \dfrac{-2 \pm \sqrt{2^2 - 4(-1)}}{2}\\\\x = \dfrac{-2 \pm \sqrt{4 + 4}}{2}\\\\\\x = \dfrac{-2 \pm \sqrt{8}}{2}\\\\x = \dfrac{-2 \pm 2\sqrt{2}}{2}\\\\\\x = \dfrac{-1 \pm 1\sqrt{2}}{1}\)

Therefore, the solution is x = -1 ±√2

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The probability that all four switches work is 0.0033 or approximately 0.33%.

Given that each switch has a probability of .24 of working, we can use the following steps:

1. Understand that the probability of all four switches working is the product of their individual probabilities, since they work independently.
2. Multiply the probabilities: .24 (switch 1) × .24 (switch 2) × .24 (switch 3) × .24 (switch 4).

The probability that each switch works is 0.24. Since the switches work independently, we can multiply the probabilities to find the probability that all four switches work:

P(all four switches work) = 0.24 x 0.24 x 0.24 x 0.24

P(all four switches work) = 0.00327648

Rounding to four significant figures, we get:

P(all four switches work) ≈ 0.0033

Your answer: The probability that all four switches work is .24 × .24 × .24 × .24 = 0.0033.

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Answer:

If the question was find the value of a when a equal -2, then the answer is a = -2

Answer:

1

2,3,4

Step-by-step explanation: to

when the number of football is 1 is less expensive than basketball

The required rate of change of the surface area of the cube is 66 sq,feet/second.

The momentum of a variable is represented by the rate of change, which is used to mathematically express the percentage change in value over a specified period of time. R = (D2 - D1)/T is a general formula for calculating the rate of change.

\(\frac{V}{dt}\) = 1327 cubic feet per second

volume(V) = 528528 cubic feet

We know that

V = a^3

528528 = a^3

a = 80.85

Differentiate w, r, t

\(\frac{V}{dt}\) = 3a^2\(\frac{da}{dt}\)

1327 = 3(80.85)^2da/dt

da/dt = 0.068

Now,

Surface area(S) = 6a^2

Differentiate w, r, t

dS/dt = 12a(da/dt)

dS/dt = 12(80.85)(0.068)

dS/dt = 66 Sq.feet/second

Thus, required rate of change of the surface area of the cube is 66.

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The equation that will be  used to determine the population, y, of Log Village x years after 2010 is y= 1800(1.09)ˣ

What is equation?

An equation is a mathematical statement which is made by two expressions connected by an equal sign. For example, 3x – 8 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 8.

The population of Log Village is 1800 in 2010, and the population increases each year by 9%.

Initial population(p)= 1800

rate of increase(r)= 9%

Time(t)= x years.

The formula for the population after n years is p(1+r/100)ⁿ.

To determine the equation for the population after x years we have to put the values in the above expression.

So putting all the values we get,

The population, y, of Log Village x years after 2010 is

          y= 1800( 1+9/100)ˣ

          y= 1800(1.09)ˣ

Hence, The equation that will be  used to determine the population, y, of Log Village x years after 2010 is y= 1800(1.09)ˣ

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Answer:

x = -24

Step-by-step explanation:

1. Subtract 2 from -46 to cancel out the addition. 2x = -48

2. Divide both sides by 2. x = -24

x is the independent variable and H(x) is the dependent variable

A dependent variable is a variable whose value depends upon independent variables.

An independent variable is a variable that does not depend on any other variable for its value.

For example, in an expression, y = 3x + 2, x is an independent and y is a dependent variable because y depends on x for its value

Given: H(x) = 3+0.5x

Therefore, x is the independent variable and H(x) is the dependent variable because it is a function of x

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The probability that all 6 flips result in heads is 1/64

The given coin is flipped 6 times. The number of heads and tails could vary from 0 to 6.Let H be the number of heads and T be the number of tails. Then the possible values of H and T are, H=0 and T=6 H=1 and T=5 H=2 and T=4 H=3 and T=3 H=4 and T=2 H=5 and T=1 H=6 and T=0

For the given question, it is given that more heads are flipped than tails.So the possible values of H are 4, 5 and 6.So the total number of possible outcomes with more heads than tails is the sum of the possible outcomes with 4, 5 and 6 heads which is, 1+6+15 = 22 (from the combinations formula)Now, the probability that all 6 flips result in heads, given more heads are flipped than tails is,

P(all 6 are heads) = P(H > T) × P(all 6 are heads | H > T)P(H > T) = 22/64

P(all 6 are heads | H > T) = 1/21 (there is only one possibility where all 6 flips are heads)

P(all 6 are heads) = P(H > T) × P(all 6 are heads | H > T) = (22/64) × (1/21) = 1/64

Therefore, the probability that all 6 flips result in heads, given more heads are flipped than tails is 1/64.

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Answer:  b) {-3, 0.5}

Step-by-step explanation:

The new equation is the original equation plus 6.  Move the original graph UP 6 units.  The solutions are where it crosses the x-axis.

\(\text{Original equation:}\quad f(x)=\dfrac{15}{x}-\dfrac{9}{x^2}\\\\\\\text{New equation:}\quad\dfrac{15}{x}+6=\dfrac{9}{x^2}\\\\\\.\qquad \qquad f(x)= \dfrac{15}{x}-\dfrac{9}{x^2}+6\)

+6 means it is a transformation UP 6 units.  

Solutions are where it crosses the x-axis.

The curve now crosses the x-axis at x = -3 and x = 0.5.

Based on IRS regulations, the taxes withheld for a single person with 2 withholding allowances making $799 per period is C. $53.

IRS regulations in 2005 stated that when a person who is making at least $780 per payroll period, but not more than $800, and had 2 withholding allowances, they would have taxes withheld of $53.

The single person in this scenario is making $799 which falls into the above bracket so they will have taxes withheld of $53.

In conclusion, option C is correct.

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Answer:

3 men to 4 woman

Step-by-step explanation:

Answer:

answer B is correct answer!

I think so

Answer:

Step-by-step explanation:

180 - 45 -60 =

75°