The half-life of a certain drug is 3 days. The initial amount in the blood stream is 1000mg. How long until 50 mg remains? (round to 3 decimal places (days))

Answer: isolate the variable by dividing each side by factors that don't contain the variable.

x is less than or equal to 15

Answer:

x=  −1 /2   or x=4

Step-by-step explanation:

This is ALGEBRA, equations, factoring and zero property. ok.. let's solve this step-by-step

2x^2−7x=4

Step 1: Subtract 4 from both sides.

2x^2−7x−4 =4 −4

2x^2−7x−4=0

Step 2: Factor left side of equation.

(2x+1)(x−4)=0

Step 3: Set factors equal to 0.

2x+1=0 or x−4=0

x=  −1 /2   or x=4

(BTW, there are supposed to be two answers, it's factoring)

Sorry if the format is not clear, but I hope this helped (really feel you, algebra can be brain-striking)!! Please leave a comment, rating and/or mark as the brainliest-whichever you think I deserve! Thank You :)

Louise has walked B. 9 miles

Since Louise is walking 12 miles to raise funds for a local cause. and If she has completed 3/4 of the distance, the number of miles she has walked, t = total distance × fraction of total distance.

Since total distance = 12 miles, and fraction of total distance = 3/4.

The number of miles she has walked, t = total distance × fraction of total distance.

Substituting the values of the variables into the equation, we have

t = 12 × 3/4

t = 3 × 3

t = 9 miles.

So, Louise has walked B. 9 miles

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Answer: 9

Step-by-step explanation:

because i know

Answer:

  (x -10)²/64 +(y +8)²/100 = 1

Step-by-step explanation:

You want the equation of the ellipse with center (10,-8), a focus at (10, -14), and a vertex at (10, -18).

The length of the semi-major axis is the distance between the center and the give vertex: a = -8 -(-18) = 10 units.

The distance from the center to the focus is -8 -(-14) = 6.

The distance from the center to the covertex is the other leg of the right triangle with these distances as the hypotenuse and one leg.

  b = √(10² -6²) = √64 = 8 . . . . units

The equation for the ellipse with semi-axes 'a' and 'b' with center (h, k) is ...

  (x -h)²/b² +(y -k)²/a² = 1

  (x -10)²/64 +(y +8)²/100 = 1

__

Additional comment

The center, focus, and given vertex are all on the vertical line x=10, This means the major axis is in the vertical direction, and the denominator of the y-term will be the larger of the two denominators.

You will notice the center-focus-covertex triangle is a 3-4-5 right triangle with a scale factor of 2.

Answer:

red orange yellow, green purple orange,yellow green purple, red orange purple, green orange yellow, 4

Step-by-step explanation:

The DC current gain (βdc) of the transistor is 73.

The DC current gain (βdc) of a transistor is the ratio of the collector current (IC) to the base current (IB) at DC conditions. Therefore, to determine the βdc of a transistor with IB = 50 µA and IC = 3.65 mA, we simply substitute these values into the equation:

βdc = IC / IB

βdc = 3.65 mA / 50 µA

βdc = 73

Therefore, the DC current gain (βdc) of the transistor is 73.

This result indicates that for every 1 µA of base current, the transistor can allow 73 µA of collector current to flow. A high βdc value indicates that the transistor can provide significant amplification in a circuit. In addition, the βdc value is essential in selecting the appropriate biasing resistors and determining the operating point of the transistor in amplifier circuits.

Thus, by determining the βdc value, we can gain valuable insights into the performance characteristics of a transistor and how it can be used in various circuit designs.

Therefore, The DC current gain (βdc) of the transistor is 73.

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Answer:

D. x=1

Step-by-step explanation:

Image can be rewritten as 3x + 6 = 9.

Solve for x.

3x +6 = 9

Isolate x by subtracting 6 from both sides.

3x = 3

Get rid of the 3 by dividing by 3 on both sides.

x = 1

Hope this helped.

Answer:

A

Step-by-step explanation:

Answer:

49 students

Step-by-step explanation:

1) 203-7=196 (the 7 is the seven students)

2) 196/4=49 (the 196 is the number of students on the buses, but now you have to figure out how many were on each one)

3) 49 students were on each bus

Hope this helped.

Answer:

9a^4b^4c^2

Step-by-step explanation:

Area of a  square is expressed using the formula

A =L²

L is the side length of the square

Given that;

L = a²b²c

A = 3²(a²b²c)²

A = 9(a²)²(b²)²c²

A = 9a^4b^4c^2

Hence the area of the square is 9a^4b^4c^2

Answer: 1 if 1 bun is the top and bottom

Step-by-step explanation:

Need to answer questions

Answer:

The least common multiple of 8 and 6

burgers: 6, 12, 18, 24  

buns: 8, 16, 24

Step-by-step explanation:

6×8=24

12×2=24

So that is how you get the answer by seeing if they have any integers in common.

Answer:true

Step-by-step explanation:

Answer:

Well this is true because slope, rate, unit rate, and rate of change are all different ways of saying slope or how far apart each points are from each other on a line.

Answer: 6, 4.5

Step-by-step explanation:

Answer:

C. Substitution

Step-by-step explanation:

Substitution is the final answer to an equation. So, the answer is C

Answer: C. Substitution

If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.

To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)ᴺ

In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.

Using the formula:

Future Value = \(\$10,000 * (1 + 0.04)^6\)

Future Value = \(\$10,000 * (1.04)^6\)

Future Value = $10,000 * 1.1265319

Future Value ≈ $12,653.19

Therefore, the amount will be approximately $12,653.19. Option b is correct.

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The sample size required to estimate a population proportion with a desired level of confidence and margin of error depends on the size of the population and the confidence level desired. In this case, the population proportion is unknown and the desired confidence level is 99.5% with a margin of error of 4%.

To determine the sample size required, we can use the formula:

n = (Z² * p * q) / E²

where n is the sample size, Z is the Z-score corresponding to the desired level of confidence (which for a 99.5% confidence level is 2.81), p is the estimated population proportion (which is 0.5 as we have no reasonable estimate), q is 1-p, and E is the margin of error (which is 0.04).

Plugging in these values, we get:

n = (2.81² * 0.5 * 0.5) / 0.04² ≈ 1381

Therefore, a sample size of at least 1381 is required to estimate the population proportion with 99.5% confidence and a margin of error of 4%.

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A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as a test of significance

Statistical Test

A statistical test provides a mechanism for making quantitative decisions about a process or processes. The intent is to determine whether there is enough evidence to reject a conjecture or hypothesis about the process.

A test of significance is a formal procedure for comparing observed data with a claim (also called a hypothesis), the truth of which is being assessed. The claim is a statement about a parameter, like the population proportion p or the population mean µ.

Hypothesized Probability Distribution

To hypothesis test with the binomial distribution, we must calculate the probability, p , of the observed event and any more extreme event happening. We compare this to the level of significance α . If p>α then we do not reject the null hypothesis. If p<α we accept the alternative hypothesis.

The test is a statistical test .The test is used to accept or reject an hypothesis. The statistical test that has the above features is the test of significance

Then the statistical test is the test of significance.

A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as a test of significance

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\(8000 \: pounds \times \frac{1 \: ton}{2000 \: pounds} = 4 \: tons\)

\(7 + 4 = 11 \: tons\)

Ivan has created 9 sculptures.

We know, ratio is a comparison between two quantities or numbers. It expresses how many times one quantity is contained in another or how the two quantities relate to each other.

To find the number of sculptures he has created, we need to divide the number of paintings by the ratio of paintings to sculptures.

Number of paintings: 54

Ratio of paintings to sculptures: 6 paintings : 1 sculpture

Number of sculptures

= Number of paintings / Ratio of paintings to sculptures

= 54 / (6/1)

= 54 / 6

= 9

Therefore, Ivan has created 9 sculptures.

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Answer:

79.7

Step-by-step explanation:

average = 20x75=1440

wrong average68+86=154

correct average 1440+154/20=79.7

hope this is correct.

Let's start solving the expression using the product to sum formulae.

Here's the given expression,

\[\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3}\]

Using the product-to-sum formula,

\[\sin A \cos B=\frac{1}{2}[\sin (A+B)+\sin (A-B)]\]

Applying the above formula in the first term,

\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3} &= \frac{1}{2} \left[\sin \left(\frac{x}{3}+\frac{2 x}{3}\right)+\sin \left(\frac{x}{3}-\frac{2 x}{3}\right)\right] \\&= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]\end{aligned}\]

Using the product-to-sum formula,

\[\cos A \sin B=\frac{1}{2}[\sin (A+B)-\sin (A-B)]\]

Applying the above formula in the second term,

\[\begin{aligned}\cos \frac{x}{3} \sin \frac{2 x}{3}&= \frac{1}{2} \left[\sin \left(\frac{2 x}{3}+\frac{x}{3}\right)-\sin \left(\frac{2 x}{3}-\frac{x}{3}\right)\right] \\ &= \frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right]\end{aligned}\]

Substituting these expressions back into the original expression,

we have\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3} &= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]+\frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right] \\ &=\frac{1}{2} \sin x + \frac{1}{2} \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\\ &= \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\end{aligned}\]

Therefore, the given expression can be written in terms of a single trigonometric function as:

\boxed{\sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)}

Hence, the required expression is \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right). The solution is complete.

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The student that has   the highest probability to find that the actual number of times his or her coin lands heads up most closely matches the predicted numberof heads-up landings is Collin.

Let's calculate the expected number of heads-up landings for each student  -

Ana = 0.5 * 50 = 25

Brady  = 0.5 * 10 = 5

Collin = 0.5 * 80 = 40

Deshawn  = 0.5 * 20 = 10

From the above we can   see that Collin (80 flips) is most likely to find that the actual number of times his coin lands heads up most closely matchesthe predicted   number of heads-up landings (40).

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Four students are determining the probability of flipping a coin and it landing head's up. Each flips a coin the number of times shown in the table below.

Student

Number of Flips

Ana

50

Brady

10

Collin

80

Deshawn

20

Which student is most likely to find that the actual number of times his or her coin lands heads up most closely matches the predicted number of heads-up landings?

Answer:

answer is 26 gems

Step-by-step explanation:

you subtract 8 from 34 and you get 26 as your answer

Answer:

x intercept (-9,0)

y intercept (0,-6)

Answer:

(9,0) is x intercept and (0,6) is y intercept

Step-by-step explanation:

The correct answer is a. H0: u≥2 hours and H1:u<2 hours. When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, the critical value is as follows:

To determine the critical value, we need to use the t-distribution since the population standard deviation is unknown.

Using a t-distribution table or calculator with 12 degrees of freedom (n-1), a one-tailed test, and a significance level of 0.025, the critical value is 2.1604.

If the test statistic is greater than or equal to this value, we can reject the null hypothesis in favor of the alternative hypothesis, which is a right-tailed hypothesis.

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The initial value that I might consider with that slope is the y-intercept. The y-intercept is the point where the line crosses the y-axis, and it is the value of y when x is 0. So, if the slope is 2, then the y-intercept might be 1. This would give us the following linear equation:

y = 2x + 1

This equation represents a line that has a slope of 2 and a y-intercept of 1.

Answer:

See image

Step-by-step explanation:

A few way to represent this - mine is just one

The volume of the triangular prism as described is; 15 cubic foot.

A triangular pyramid simply refers to any geometric solid with a triangular base, and all three lateral faces are also triangles with a common vertex

It follows from the formula for calculating the volume of a triangular prism that;

Volume = (1/3) × base area × height.

Consequently,

volume of the prism is; = (1/3) ×9 × 5

Volume = 15 cubic foot

Therefore, volume of the triangular prism as described is; 15 cubic foot.

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Step-by-step explanation:

\(\pink{\large{\underline{\underline{\sf Given:-}}}}\)

\(\pink{\large{\underline{\underline{\sf To \: find:-}}}}\)

\(\pink{\large{\underline{\underline{\sf Solution:-}}}}\)

We know that,

\(\underline{\boxed{\sf (Radius)^2= (Slant height)^2-(height)^2}}\)

\( \sf (Radius)^2 = (16)^2-(12)^2\)

\( \sf (Radius)^2 = 256-144=112\)

\( \longmapsto \sf Radius = \sqrt{112}≈10.6\:cm\)

In order to compare the values of the coordinates in a specific parallelogram, you would need to know the numerical values of the coordinates and compare them directly.

Without knowing the specific values of the coordinates in the parallelogram, it is not possible to determine whether coordinate s or coordinate t represents a greater number. The coordinates in a parallelogram can have any numerical value, positive or negative, so it is not possible to make a general statement about which coordinate will always be greater.

In order to compare the values of the coordinates in a specific parallelogram, you would need to know the numerical values of the coordinates and compare them directly.

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