the rule f(x)=50x - 8.5 represents the amount of a drug in milligrams, f(x), which remains in te blood stream after x hours. evaluate f(1.5)

Answer:

Step-by-step explanation:

\(3xy- y + 6z \\\\x = 1\\ y = - 2 \\ z = 3\\\\3(1)(-2) - (-2) +6(3)\\-6 + 2 +18\\=14\)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{14}}}}}\)

Step-by-step explanation:

Given, x = 1 , y = -2 , z = 3

\( \sf{3xy - y + 6z}\)

Plug the value of x , y and z

⇒\( \sf{3 \times 1 \times ( - 2) - ( - 2) + 6 \times 3}\)

Multiply the numbers

⇒\( \sf{ - 6 - ( - 2) + 6 \times 3}\)

We know that , \( \sf{( - ) \times ( - ) = ( + )}\)

⇒\( \sf{ - 6 + 2 + 6 \times 3}\)

Multiply the numbers : 6 and 3

⇒\( \sf{ - 6 + 2 + 18}\)

Add the numbers : 2 and 18

⇒\( \sf{ - 6 + 20}\)

Calculate the difference

⇒\( \sf{14} \)

Hope I helped !

Best regards!!

Answer:

36

Step-by-step explanation:

4 x 4 = 16

2 x 10 = 20

You would have to separate the square and the rectangle.

The way you do this is by cut of the number and subtracting them, like 6 and 2 to get the square.

Answer:

$15,539.67

Step-by-step explanation:

Compound Interest Formula

\(\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}\)

where:

Given:

Substitute the given values into the formula and solve for A:

\(\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}\)

\(\implies \sf A=11000(1.0145)^{24}\)

\(\implies \sf A=15539.67451...\)

Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.

Answer:

Check your question one time

It will take about 9.5 months (or 10 months rounded up) for the rabbit population to reach 5,800.

Let's use the formula for exponential growth to solve this problem:

N = N0 * 2^(t/k)

Where:

N0 = initial population (8 rabbits)

N = final population (5,800 rabbits)

k = doubling time (1 month)

t = time in months (what we're trying to find)

Substituting the values we have:

5,800 = 8 * 2^(t/1)

Dividing both sides by 8:

725 = 2^(t/1)

Taking the logarithm of both sides (base 2):

log2(725) = t/1

t = log2(725) ≈ 9.515

So it will take about 9.5 months (or 10 months rounded up) for the rabbit population to reach 5,800.

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A tank initially contains 100 lb of salt dissolved in 20 gal of water. Brine containing 2 lb/gal of salt flows into the tank at the rate of 3 gal/min, and the well mixed mixture flows out of the tank at the same rate. The tank contains 142 lb of salt 7 minutes later.

To find out how much salt the tank contains 7 minutes later, we can use Calculate the salt flowing into the tank:

The brine flows in at a rate of 3 gal/min,

with a concentration of 2 lb/gal.

Therefore, in 7 minutes, the amount of salt flowing in is:

3 gal/min × 2 lb/gal× 7 min = 42 lb.

Calculate the amount of salt already in the tank:

The tank initially contains 100 lb of salt.

Calculate the amount of salt flowing out of the tank:

The mixture flows out of the tank at the same rate as the inflow,

which is 3 gal/min.

Calculate the net change in the amount of salt in the tank:

Since the inflow and outflow rates are the same,

the net change in the amount of salt in the tank is zero.

Calculate the total amount of salt in the tank after 7 minutes:

The initial amount of salt in the tank (100 lb) plus the amount of salt flowing in (42 lb) minus the amount of salt flowing out (0 lb) gives us the total amount of salt in the tank after 7 minutes: 100 lb + 42 lb - 0 lb = 142 lb.

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Answer:

22

Step-by-step explanation:

Plug in 5 for r and 7 for s:

5² - (7 - 4)

Evaluate the terms inside the parentheses first:

5² - 3

Evaluate the exponent:

25 - 3

Solve:

22

A)  The 95% confidence interval is:

     0.58 ± 0.062

B) At the 0.01 probability value, there is neither substantial evidence of a home-field  advantage in professional football (they won and over half of the games).

Now, According to the question:

A) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × \(\frac{\sqrt{pq} }{n}\)

Where:

z = The z score corresponds to the amount of confidence.

p = sample proportion.

q = probability of failure

q = 1 - p

p = x/n

Where

n = the number of samples

x = the number of success

From the information given,

n = 240

x = 138

p = 138/240 = 0.58

q = 1 - 0.58 = 0.42

To determine the z score,  The confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Thus,

1 - 0.025 = 0.975

The z -score associated with the area just on z table approximately 1.96. Therefore, the z score with a 95% confidence level is 1.96.

As a result, the 95% confidence interval becomes

0.58 ± 1.96√(0.58)(0.42)/240

Confidence interval is

0.58 ± 0.062

B) Earning more than half of the games equates to winning 120 games or more.

p = 120/240 = 0.5

The hypothesis test will be

For the null hypothesis,

P ≥ 0.5

For the alternative hypothesis,

P < 0.5

Probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 138

n = number of samples = 240

P = 138/240 = 0.58

We need to find the values of  the test statistic which will be the z score

z = (P - p)/√pq/n

z = (0.58 - 0.5)/√(0.5 × 0.5)/240 = 2.48

Remember that this is a two-tailed test. We would use the normal distribution table to calculate the probability potential of the property to the right of both the z score.

P value will be = 1 - 0.9934 = 0.0066

Since alpha, 0.01 > the p value, 0.0066, then we would reject the null hypothesis.

The given question is incomplete, The complete question is this:

__"During the 2000 season, the home team won 138 out of 240 regular season National Football League games. (15 points) a) Construct a 95% confidence interval for the winning proportion of the home team during this season. b) At the 0.01 significance level, is there strong evidence of a home field advantage (they win more than half of the games) in professional football? State hypotheses, calculate the test statistic and p-value, and make a conclusion in context"__

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The correct answer is not provided among the given choices.

The y-intercept of the function f(x) = 3x + 2 is (0, 2).

To find the y-intercept of the function f(x) = 3x + 2, we need to determine the value of y when x is equal to 0.

The y-intercept represents the point where the graph of the function intersects the y-axis.

Substituting x = 0 into the equation, we get:

f(0) = 3(0) + 2

f(0) = 0 + 2

f(0) = 2

So, when x = 0, the corresponding value of y is 2.

Therefore, the y-intercept of the function f(x) = 3x + 2 is (0, 2).

Among the given answer choices:

A. (9, 0) does not represent the y-intercept.

B. (0, 9) does not represent the y-intercept.

C. (0, -9) does not represent the y-intercept.

D. (9, -9) does not represent the y-intercept.

None of the given answer choices correctly represent the y-intercept of the function f(x) = 3x + 2, which is (0, 2).

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The sample proportion is 0.68 or 68% when rounded to two decimal places.

To calculate the sample proportion, you can use the formula:
Sample proportion (p) = x/n where x is the number of successes and n is the sample size. In this case, p = 0.62 (population proportion), x = 68, and n = 100.
Now, plug in the given values:
p = 68/100
p = 0.68

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To determine the distance between the Party supply store and the art gallery, you have to determine the position of each store and subtract them.

The stores are in the same horizontal line (y=2), the supply store is at x₁=1 and the art gallery is at x₂=7, the distance (d₁) between both stores can be calculated as:

The distance between the party supply store and the art gallery is 6 blocks.

Next you have to determine the distance between the art gallery and the dry cleaners. Both stores are on the same vertical line (x=7), to calculate the distance you have to determine the difference between their positions over the y-axis.

The art gallery is at y₁=2 and the dry cleaners is at y₂=7. The distance between both stores (d₂) can be calculated as:

The dry cleaner is 5 blocks away from the art gallery.

Now add both distances to determine how far would you walk

The distance walked is 11 blocks

Answer:

only construction

Step-by-step explanation:

it must have 4 sides

The total change in temperature from 3 PM to 8 PM is 25°C.

The first step is to calculate the temperature difference.

Temperature at 3 PM = 3°C

The temperature at 4 The period2°C

The difference = 3 - (-2) = 3 + 2 =5°C

The second step is to calculate the difference time.

Period from 3 PM to 8 PM:

To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value.

So,

8-3 = 5 hours

The third step is to calculate the total temperature change.

5°C × 5 hours = 25°C.

The total change in temperature from 3 PM to 8 PM is 25°C.

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Answer:

5.8

Step-by-step explanation:

Using trig function Sin

Answer:

the answer is 5.8 hope this helps

Step-by-step explanation:

im sorry tinycrash 18 he helped me but it is c

The most appropriate statistical test/analysis for Sean who wants to test a hypothesis according to which the mean amount of sales dollars per employee will vary between 3 store locations would be the T-test.

A T-test is a statistical test which compares the means of two samples. It is used in hypothesis testing, with a null hypothesis which the difference in group means is zero and an alternate hypothesis which the difference in group means is different from zero.

The choice of T-test depends on whether we are studying one group or two groups, and whether we care about the direction of the difference in group means.

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The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

First second thrid

I believe it's the 2nd one

Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

Total number of eggs = 6 + 19 + 14 + 11 + 23 + 2 = 75 eggs

Total hatched eggs = 6 + 14 + 23 = 43

Therefore, the answer is 57 ( to the nearest whole number)

Answer:

SAS

Step-by-step explanation:

In triangle ABC and triangle EFD

1. BC = CD (S) Given

2. < BCD = < EFD (A) being vertically opposite. angles.

3. AC = CE (S) Given

Hence

By SAS postulate Triangle ABC and triangle EFD are congruent.

HOPE IT HELPS :)❤

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

C. Infinitely many

Step-by-step explanation:

First, find x.

3(x-2)=22-x

Use distributive property.

3x-6=22-x

Add x to both sides.

4x-6=22

Add 6 to both sides.

4x=28

Divide 4 from both sides.

x=7

Plug in 7 for x into the original equation.

3(7-2)=22-7

3(5)=22-7

15=15

Since 15 does equal 15, the answer has infinitely many solutions.

Hope this helps!

If not, I am sorry.

Answer:

3/1 = 3

Step-by-step explanation:

reciprocal of 1/3 = 3/1

Hope it helps you in your learning process.

The sum of the first three terms in the series is -557.921 and a bound for the error is approximately 865.474.

What is series?

In mathematics, a series is the sum of the terms of a sequence. It is represented by the sigma notation (∑), which indicates that a sequence of terms is being added together.

To calculate the sum of the series and find the bounds for the error, let's break down the problem step by step.

The series can be represented as:

\(\sum_{n=1}^{\infty} [(-1)^n * 400*n^{0.6}]\)

To find the sum of the first three terms, S3, we need to calculate the values for n = 1, 2, and 3 and then sum them up.

For n = 1:

\((-1)^1 * 400 * 1^{0.6\) = -400

For n = 2:

\((-1)^2 * 400 * 2^{0.6\) = 564.189...

For n = 3:

\((-1)^3 * 400 * 3^{0.6\) = -721.110...

Now, let's calculate the sum of the first three terms, S3:

S3 = -400 + 564.189 + (-721.110) = -557.921

The sum of the first three terms, S3, is approximately -557.921.

To find a bound for the error, we can use the Alternating Series Estimation Theorem. The theorem states that the error in approximating an alternating series is less than or equal to the absolute value of the next term.

In this case, the next term of the series would be for n = 4:

\((-1)^4 * 400 * 4^{0.6\) = 865.474...

The bound for the error is given by the absolute value of this term:

|Next Term| = |865.474...| ≈ 865.474

Therefore, a bound for the error is approximately 865.474.

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Answer:

Let x represent the number of cups of peanut butter used and y represent the number of cups of flour used.

Step-by-step explanation:

Answer:

2 trays of dog bone treat recipe and 2 trays of oatmeal dog treat recipe.

Step-by-step explanation:

2 dog bone treat uses 6y and 4x

2 oatmeal dog treat uses 2x and 8y

she will have 2 cups of y left

x = flour

y = Peanut butter

She will also make $26

(I did not find a way to use all the flour and peanut butter)

Answer:

y = -1.5 + 3x

Step-by-step explanation

I'm sorry but I have no time, can someone comment me and explain? Thank you :)

Answer: y = -1.4(2.1 - 4.2x)

Step-by-step explanation:

4.2x - 1.4y = 2.1

Firstly you should move 4.2x over (by subtraction) so the new equation is:

-1.4y = 2.1 - 4.2x

Then you want to multiply everything by -1.4 to take it away from the y side. This will bring you to:

y = -1.4(2.1 - 4.2x)

This can be simplified down to

y = -2.94 + 5.88x

or

5.88x -2.94 = y

Answer:

∠x = 72°

Step-by-step explanation:

since two sides are equal, their opposite angles are equal.

Then the upper angle is also equal to 54°.

All triangle angles add up to 180°.

∠x = 180 - 54 - 54 = 72°

Two events that are disjoint are not independent. This is because that disjoint events do not overlap, which means that if one event occurs, the other cannot. So, the occurrence of one event provides information about the absence of the other, which violates the definition of independence.

Two events A and B are considered independent if the occurrence of A has no effect on the likelihood of B occurring, and vice versa.

In other words, the probability of both events happening at the same time is equal to the product of their individual probabilities:

\(P(A and B) = P(A) * P(B) (B).\)

This formula cannot be satisfied when two events are disjoint because if one event occurs, the other cannot occur. As a result, two disjoint events are not independent.

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Answer:

y = 19

Step-by-step explanation:

the value of Y is 19