Answer:
C. 15 + 18x ≥ 95
Step-by-step explanation:
Given: She has $15 saved so far
She earns $18.00 for each lawn she mows (each lawn she mows = x)
The inequality has to be greater or equal to $95.00, so she can have enough to buy a pair of shoes.
15 + 18x ≥ 95
Jamel and his sister received a total of $250 for their birthday. If Jamel received $30 less than his sister, how much did each person receive for their birthday
Answer:
Jamel - 110 Sister - 140
Step-by-step explanation:
We are going to work backwards. If Jamel received 30 dollars less than his sister, then the total goes down to $220. Then you divide by 2 to split the money between each equally. Now Jamel has $110 and his sister has $110. But you have to add the original $30 back to his sister's total because she got $30 more. Hence Jamel has $110 and his sister has $140.
Answer:
Jamal got 220
Step-by-step explanation:
250-30 in other hand just do 50-30 or 5-3
A random sample of 50 bottles is selected from the production line of a large manufacturing company. The mean weight of the contents of the 50 bottles is 20.25 ounces. The manager of the company requests that the machines be recalibrated because bottles coming off the production line are supposed to contain 20 ounces. Which of the following statements is true?
The population is the production line that needs to be recalibrated and the sample is all production lines.
The population is all production lines and the sample is the production line that needs to be recalibrated.
The population is all bottles in the production line and the sample is the 50 bottles that were selected.
The population is the 50 bottles that were selected and the population is all bottles in the production line.
Answer:
The population is all bottles in the production line and the sample is the 50 bottles that were selected.
Step-by-step explanation:
Edge 2020
Answer:
He's right
Step-by-step explanation:
Josh curlee bench presses 200 pounds increases that amount by 10% a month for two months about how much can you bench press after 2 months
Answer
At the current rate, 2420 pounds will be the weight bench pressed after 2 months.
Explanation
A given quantity that increases by a constant rate monthly can have its current value calculated according to the formula,
A = A₀ (1 + r)ᵗ
A = Value after a given time t (in months)
A₀ = Initial value = 200 pounds
r = rate of increase = 10% monthly = 0.10
t = time = 2 months
A = A₀ (1 + r)ᵗ
A = 2000 (1 + 0.1)²
A = 2000 (1.1)²
A = 2000 (1.21)
A = 2,420 pounds
Hope this Helps!!!
Can someone help me with this? I'm not good with functions.
Answer: The answer is option C
Step-by-step explanation:
Answer: it is C
Step-by-step explanation:
$16.94 divided by 5 which is how many pounds there is is 3.388 which rounds up to 3.39
Carmen is playing draw & compare decimals with her partner. Carmen drew 4,7,6,0, and 2 and has to use three of the cards to make a decimal less then 1. If they are playing for "more" what decimal should Carmen make? If they are playing "less" what decimal should Carmen make?
Answer:
For more;
4.76
for less;
0.46
Step-by-step explanation:
Here, we intend getting the decimals that Carmen should make in her game given the numbers she drew
She has two types to make; a decimal less than 1 and a decimal more than 1
If the decimal should be less than 1, the number zero should lead;
And since she is using three of the numbers, we can have something like;
0.46
To make a decimal more than one, she could actually start with any of the numbers other than zero
we can have something like 4.76
what is half way between 18x28 and 22x28
Answer: 160
Step-by-step explanation:
first workout the multiplication sums [22 x 28 = 616]
[18 x 28 = 505] then add 2 numbers together [616 + 505 = 1120]
then divide the answer by 2 [1160 / 2 = 160
Find the dimensions of a rectangle whose perimeter is 52 m and whose area is 160 m (2)
Answer:
10, 16
Step-by-step explanation:
List the factors of 160.
1 × 160 = 160
2 × 80 = 160
4 × 40 = 160
5 × 32 = 160
8 × 20 = 160
10 × 16 = 160
(there are more, but we don't need them)
Check to see which factors can be added together to make 26, half of 52.
10 and 16 make 26.
That's the answer!
I hope this helps!
pls ❤ and mark brainliest pls!
Mary analyzed occupancy rates at two community hospitals and obtained the following Excel results.
t-Test for Acue Care Occupancy Rates
MaxHealth HealthPro Mean 62.5462 68.4800 Variance 108.2377 98.3707 Observations 13 10 Hypothesized Diff 0 df 20 t Stat −1.3923 P(T<=t) one-tail 0.0896 t Critical one-tail 1.7247 P(T<=t) two-tail 0.1791 t Critical two-tail 2.0860 Which conclusion is correct in a two-tailed test at α = .05?
Multiple Choice
There appears to be no difference in the mean occupancy rates.
There is a significant difference in the mean occupancy rates.
HealthPro has a significantly higher mean occupancy rate.
Carver Memorial Hospital’s surgeons have a new procedure that they think will decrease the time to perform an appendectomy. A sample of 8 appendectomies using the old method had a mean of 38 minutes with a variance of 36 minutes, while a sample of 10 appendectomies using the experimental method had a mean of 29 minutes with a variance of 16 minutes. For a right-tailed test for equal means (assume equal variances), the critical value at α = .10 is
Multiple Choice
2.120
2.754
1.746
1.337
The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.
How to solveFrom the given values:
Thus, the P-value = 0.1791
Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.
From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.
Thus, option A is correct.
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What is the value of x in the equation 0.03x + 7.2 = 8.34?
Answer:38
Step-by-step explanation:
First we isolate the x variable
0.03x +7.2 - 7.2 = 8.34 - 7.2
0.03x = 1.14
0.03x/0.03 = 1.14/0.03
x=38
When patterning a shotgun, what is a sufficient percentage of pellets within a 30-inch circle?.
The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The percentage of pellets within a 30-inch circle.
Now,
We know that;
According to the state hunter education standards, your shotgun pattern within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''
Thus, The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''
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Pleas help me! Ill give you brainlist!
a = 10, c = 15, b = 5√5
a = 8, c = 18, b = 2√65
a = 12, c = 14, b = 2√13
a = 4, c = 20, b = 8√6
a = 12, b = 14, c = 2√85
a = 4, b = 20, c = 4√26
a = 10, b = 15, c = 5√13
a = 8, b = 18, c = 2√97
what is the probability that a single randomly sampled observation have a value above the mean?
The probability of a single randomly sampled observation having a value above the mean is approximately 0.1587, assuming a normal distribution.
if the mean of the data is μ and the standard deviation is σ, then the probability of a single observation being above the mean is given by:
P(X > μ) = 1 - P(X ≤ μ)
where X is the random variable representing the data. To calculate this probability, we need to standardize the data by subtracting the mean from each observation and dividing by the standard deviation. This gives us a standard normal variable Z, which has a mean of 0 and a standard deviation of 1.
Then, we can look up the probability in a standard normal table or use a calculator or software to find the area under the standard normal curve to the right of Z = 0.
For example, suppose we have a dataset with a mean of 10 and a standard deviation of 2. If we standardize the data, then a value of 12 would correspond to a Z-score of:
Z = (12 - 10) / 2 = 1
The probability of a value being above the mean is then:
P(X > 10) = 1 - P(X ≤ 10) = 1 - P(Z ≤ 1) = 1 - 0.8413 = 0.1587
Therefore, the probability of a single randomly sampled observation having a value above the mean is approximately 0.1587, assuming a normal distribution.
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what is the null hypothesis? group of answer choices the mean driving times for the three routes are different the mean driving times for the three routes are the same the mean driving times for the three routes are independent
The null hypothesis is a statement that assumes there is no significant relationship between two variables or that there is no difference between two groups. In the context of the given question, the null hypothesis would be that the mean driving times for the three routes are the same.
This means that there is no significant difference in the average driving times for the three routes being compared. The null hypothesis is often used in statistical hypothesis testing, where it is compared against the alternative hypothesis to determine if the observed data provides enough evidence to reject the null hypothesis.
In this case, the alternative hypothesis could be that the mean driving times for the three routes are different, indicating that there is a significant difference in the average driving times for the three routes. By testing the null hypothesis, researchers can determine whether or not there is a significant difference in the data being analyzed.
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An annuity-due has 31 payments of $600 per period. The effective rate of interest per period is 8% for the first 15 periods and 3% for the following 16 periods. (A) Find the accumulated value of the annuity using the portfolio method. Round your answer to 2 decimal places. (B) Find the accumulated value of the annuity using the yield-curve method.. Round your answer to 2 decimal places.
a. The accumulated value of the annuity using the portfolio method is $19,454.11.
b. The accumulated value of the annuity using the yield-curve method is $34.33, rounded to 2 decimal places.
(A) To find the accumulated value of the annuity using the portfolio method, we need to calculate the accumulated value for each period separately based on the given effective interest rates.
For the first 15 periods with an 8% effective interest rate, we can use the formula for the accumulated value of an ordinary annuity:
Accumulated value = payment * [(1 + r)^n - 1] / r
where payment is $600, r is the effective interest rate per period (8% or 0.08), and n is the number of periods (15). Plugging in these values, we have:
Accumulated value (15 periods) = $600 * [(1 + 0.08)^15 - 1] / 0.08 = $10,092.94
For the following 16 periods with a 3% effective interest rate, we repeat the calculation using the same formula:
Accumulated value (16 periods) = $600 * [(1 + 0.03)^16 - 1] / 0.03 = $9,361.17
To obtain the total accumulated value of the annuity, we sum up the accumulated values for the two periods:
Total accumulated value = Accumulated value (15 periods) + Accumulated value (16 periods) = $10,092.94 + $9,361.17 = $19,454.11
Therefore, the accumulated value of the annuity due using the portfolio method is $19,454.11.
(B) To find the accumulated value of the annuity using the yield-curve method, we need to calculate the weighted average of the accumulated values based on the respective interest rates and periods.
First, we calculate the present value (PV) of each payment using the formula:
PV = payment / (1 + r)^n
where payment is $600, r is the effective interest rate per period, and n is the number of periods.
For the first 15 periods, with an 8% effective interest rate, the present value of each payment is:
PV (15 periods) = $600 / (1 + 0.08)^15 = $263.99
For the following 16 periods, with a 3% effective interest rate, the present value of each payment is:
PV (16 periods) = $600 / (1 + 0.03)^16 = $440.43
To calculate the accumulated value using the yield-curve method, we multiply each present value by the respective interest rate and sum them up:
Accumulated value = (PV (15 periods) * 8%) + (PV (16 periods) * 3%)
Accumulated value = ($263.99 * 0.08) + ($440.43 * 0.03) = $21.12 + $13.21 = $34.33
Therefore, the accumulated value of the annuity using the yield-curve method is $34.33, rounded to 2 decimal places.
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Please give the proof process: 2n3 + 3n +10 = Q( n³).
2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".
Let's start by factoring out the common factor of n^3 from each term:
2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)
Now, let's rewrite the expression as a single term multiplied by n^3:
2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3
Simplifying the expression inside the parentheses:
= (2n^3 + 3n^2 + 10n^3)/n^3
= (12n^3 + 3n^2)/n^3
= 12 + 3/n
ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.
Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
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Qué significa a^2 en matemáticas es la mi trabajo
In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.
How to illustrate with an example4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.
If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.
In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.
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The Question in English
What does a^2 mean in mathematics
Write an explicit formula for the sequence.
-20.-12.-4.4
An) = -20n - 8
O A(n) = -20 - 8n
A(n) = -20 + (n - 1)8
An) = n - 8
Answer:
I need help
Step-by-step explanation:
What is the answer in a whole number or decimal
Answer:
i = 8
Step-by-step explanation:
The zeros of a function are the values of for which the function is equal to zero. Enter a number in each blank to make true statements about the function ()=(2−6)(−4).
Answer:
Here we want to complete the blank to make the equality true:
( ) = (2 - 6)*(-4)
The equality is true if we have the same value in both sides, so we can think of this as an algebraic equation:
x = (2 - 6)*(-4)
We just need to find the value of x.
Then let's solve the right side:
x = (2 - 6)*(-4) = (-4)*(-4)
Remember the rule of signs:
(-)*(-) = (+)
x = (-4)*(-4) = 4*4 = 16
Then we need to complete the blank with the number 16
(16) = (2 - 6)*(-4)
mino built this shape with her blocks. Her brother added 2 more layers just like Minos on top. how many blocks were used by both mino and her brother
The blocks that were used by both mino and her brother is 18
How to calculate the blocks that were used by both mino and her brotherFrom the question, we have the following parameters that can be used in our computation:
The block of the dimension: 3 by 2 by 1 (see attachment)
When 2 more layers are added on top of the blocks, we have the following dimensions: 3 by 2 by 3
The number of blocks that were used by both mino and her brother is the product of the dimensions
So, we have
Blocks = 3 * 2 * 3
Evaluate
Blocks = 18
Hence, the blocks that were used by both mino and her brother is 18
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Complete question
Mino built this shape with her blocks. Her brother added 2 more layers just like Minos on top. how many blocks were used by both mino and her brother
See attachment
What is the median of the data 17 2 7?.
Median for the given data 17, 2 ,7 is 12.
What is median?
The median is that the value that’s precisely within the middle of a dataset once it's ordered. It’s a live of central tendency that separates the bottom 50% from the very best 50% of values.
Main body :
First of all to find the median data should be arranged in ascending order.
Aranging data in ascending order
2, 5 , 7 , 7 , 8 , 8 , 10 , 10 , 14 , 15 , 17 , 18 , 24 , 27 , 28 , 48
Now there are even number of terms i. e 16
So,
M1 = n / 2 and M2 = ( n / 2 ) + 1
= 16 / 2 = 8 + 1
= 8th term = 9th term
M1 = 10 M2 = 14
Median, M = ( M1 + M2 ) / 2
= ( 10 + 14 ) / 2
= 24 / 2
= 12
Hence median of observation is 12.
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Whats the surface area of a square pyramid with a side length of 5 yd and slant height of 4 yd.
The total surface area of the square based pyramid equal to 60 square yards
The surface area of a squareThe formula for finding the surface area of the square is given as;
TSA = a²+2a√a²/4 + h²
where:
B is the base area
H is the height
Determine the base area
Base area = 5yd * 5yd
Base area = 25yd²
Determine the height using the pythagoras theorem;
h² = 5² - 3²
h² = 25 - 9
h² = 16
h = 4yd
Determine the surface area
TSA = 5²+2(5)√5²/4 + 4²
TSA = 25+10√25/4 + 16
TSA = 25 + 10√49/4
TSA = 25 + 10(7/2)
TSA = 25 + 35
TSA = 60 square yards
Hence the total surface area of the square based pyramid equal to 60 square yards
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3000 people own a car, 1650 said they would buy it again, what percent of the people surveyed were satisfied with the car
Need some help, please explain your Answer! Thanks!
Unit rate
Total built/Total days spent8-1/4÷5-1/233/4÷11/233/4×2/113/21.5miles per dayAnswer:
1½ miles/day .
Step-by-step explanation:
To find:-
The rate at which the construction crew built thr road.Answer:-
It is given that the crew made 8¼ miles of road in 5½ days . To find the rate of work done , simply divide the total length of road nade by total time taken . That would be , ( rate is represented by "r" . )
\(:\implies \sf r = 8\dfrac{1}{4}\div 5\dfrac{1}{2} \ miles/day\\\)
Convert the mixed fraction into improper fraction.
\(:\implies \sf r = \dfrac{33}{4}\div \dfrac{11}{2} \ miles/day \\\)
For dividing them , multiply the reciprocal of 11/2 by 33/4 as ,
\(:\implies \sf r = \dfrac{33}{4}\times \dfrac{2}{11} \ miles/day\\\)
\(:\implies \sf r = \dfrac{3}{2} \ miles/day \\\)
\(:\implies \sf \pink{ r = 1\dfrac{1}{2}\ miles/day } \\\)
Hence the unit rate of constructing the road is 1½ miles/day .
Suppose that i have $6$ different books, $2$ of which are math books. in how many ways can i stack my $6$ books on a shelf if i do not want the math books to be next to each other?
We can stack 6 books on a shelf in 480 ways such that math books are not next to each other.
We can find our total arrangements as 6! = 720 ways.
The math books can be placed in five different ways when they are all together, with two options for each position. The other books can be put in 4! different ways for each position. So we have = 5 * 2! * 4! = 10 * 24 = 240.
So our final answer will be 720 - 240 = 480 ways.
Hence, 6 books on a shelf can be arranged in 480 ways such that no math books are next to each other.
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this operator determines whether one string is contained inside another string. ... Once a string is created, it cannot be changed. true or false
The answer to your question is that the radicals you are referring to is called the "substring" operator. It is used to determine whether one string is a substring of another string. The substring operator is represented by the symbol "in" in Python.
The substring operator checks whether a specific string is present within another string. If it is, then the operator returns True, and if not, then it returns False. This is a very useful operator when it comes to manipulating strings in Python.
A string is created in Python, it cannot be changed. Strings in Python are considered immutable, which means that any modifications to a string will result in the creation of a new string object. This is different from some other programming languages, where strings can be modified in place.
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2) The representative agent lives for infinite periods (0,1,2,…) and receives exogenous incomes of y0,y1,y2,…, respectively. The lifetime present discounted value of utility is given by: ∑t=0[infinity]βtln(ct) with β(<1) being the discount factor and ct is consumption at time t. The agent is allowed to save or borrow at the real interest rate r, but she cannot die with debt or wealth. Assume also that the initial wealth is zero. a. Solve the optimization problem of the agent using the period-by-period budget constraints. In particular, show the Euler equation. b. Using the given functional form, write the Euler equation between time 1 and time 3 . In other words, show how c1 and c3 are related. c. Write the present discounted value of optimal lifetime consumption as a function of c0 (and, potentially, other parameters or exogenous variables). d. Write the present discounted value of optimal lifetime utility as a function of c0 (and, potentially, other parameters or exogenous variables). e. Find the present discounted value of lifetime income as a function of y0 (and, potentially, other parameters or exogenous variables) when income is growing each period at the rate of γ, where 0<γ0 ? Explain!
a. U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.
b. U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.
c. C0 = ∑t=0[infinity](β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.
d. U0 = ∑t=0[infinity](β(1 + r))^tln(ct). This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.
Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income.
a. The optimization problem of the representative agent involves maximizing the present discounted value of utility subject to the period-by-period budget constraint. The Euler equation is derived as follows:
At each period t, the agent maximizes the utility function U(ct) = ln(ct) subject to the budget constraint ct = (1 + r)wt + yt, where wt is the agent's wealth at time t. Taking the derivative of U(ct) with respect to ct and applying the chain rule, we obtain: U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.
b. The Euler equation between time 1 and time 3 can be written as U'(c1) = β(1 + r)U'(c2), where c1 and c2 represent consumption at time 1 and time 2, respectively.
Similarly, we can write the Euler equation between time 2 and time 3 as U'(c2) = β(1 + r)U'(c3). Combining these two equations, we fin
d U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.
c. The present discounted value of optimal lifetime consumption can be written as C0 = ∑t=0[infinity](β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.
d. The present discounted value of optimal lifetime utility can be written as U0 = ∑t=0[infinity](β(1 + r))^tln(ct).
This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.
e. The present discounted value of lifetime income, denoted as Y0, can be expressed as Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income. The income in each period is multiplied by (1 + γ) to account for the increasing income over time.
This assumption of income growth allows for a more realistic representation of the agent's economic environment, where income tends to increase over time due to factors such as productivity growth or wage increases.
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Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibiotic regularly every 12 hours for 10 days. Sophia is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours, about 4.5% of the drug is still in the body. What quantity of the drug is in the body right after the first dose, the second dose, the third dose, the fourth dose (10 points)? When will the total amount of the antibiotic in Sophia’s body be the highest? What is that amount (10 points)? Answer Sophia’s original question: Describe how much of the drug will be in her body at various points over the course of the 10 days (10 points).
Answer:
At the end of first 12 hours = 22.5mg
At the end of the first day = 45mg
At the end of the tenth day = 450mg
Step-by-step explanation:
Hello,
Sophia's doctor prescribed 500mg of drug for her every 12hrs.
At the end of 12 hours, she found out she has 4.5% of the drug in her blood.
What is the amount of the drug in her blood after 12 hours?
After 12 hours = 4.5 / 100 = x / 500mg
x = (4.5 × 500) / 100
x = 22.5mg
At the end of the first 12 hours, she has 22.5mg of the antibiotic in her body.
2. At the end of the second dose, she has
22.5mg + 22.5mg = 45mg of the drug in her body
3. at the end of the third dose, she has (22.5 + 22.5 + 22.5)mg in her body = 67.5mg
4. At the end of the fourth dose, she has (22.5 + 22.5 + 22.5 + 22.5)mg in her body = 90mg
Since 1 day contains 24hrs = 2 × 12hrs
The amount of drug present in her body at the end of the first day = (22.5 + 22.5)mg = 45mg
Assuming the concentration of the drug does not decrease over the course of the 10 days, there's an increase of 45mg of the antibiotic in her body every day
First day = 45mg
Second day = 45mg × 2 = 90mg
Third day = 45mg × 3 = 135mg
Fourth day = 45mg × 4 = 180mg
Fifth day = 45mg × 5 = 225mg
Sixth day = 45mg × 6 = 270mg
Seventh day = 45mg × 7 = 315mg
Eighth day = 45mg × 8 = 360mg
Ninth day = 45mg × 9 = 405mg
Tenth day = 45mg × 10 = 450mg
At the end of the tenth day, the amount of antibiotic present in her blood would be 450mg
6) reflection across the x-axis
The reflection across the x-axis will have the coordinates (x, -y).
The x-axis and y-axis are found in graphs, and both have positive and negative ends. The horizontal axis is called the x-axis, and the vertical axis is called the y-axis.
The x-axis has positive integers on its right and negative integers on its left. The y-axis has positive integers above the zero coordinate and negative integers below the zero coordinate.
If we take a point on the upper side of the x-axis, its coordinates will be (x, y). While drawing its reflection on the x-axis, we need to draw the point on the vertically opposite plain. Thus, the coordinates of the reflection will be (x, -y).
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Find the Surface area of the trapezoid
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Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5