Answer:
1.0909090909
Step-by-step explanation:
6÷5.5 is 1.0909090909
round to 1 ig
Answer:
4 patients per hour.
Step-by-step explanation:
1 1/2 hour = 90 minutes
90min/6p= 15min per patient
60min/15min= 4
What is the MAD? (Values are 3,3,6,4,1,5,3,4,4,5)
Answer:
1.04
I am sure of my answer!
Step-by-step explanation:
Hope it helped :)
How will I do This??
is there any instructions??
put the instructions on there to
Justin deposited $4000 into an account with 5.5% interest, compounded semiannually. Assuming that no withdrawals are made, how much will he have inthe account after 10 years?Do not round any intermediate computations, and round your answer to the nearest cent.
First, divide the annual interest rate by 2 to find the semiannual interest rate:
\(\frac{5.5}{2}=2.75\)Next, identify the number of periods when the 2.75% increase will be appliad. In a period of 10 years, there are 20 semiannual periods.
Each period, the initial investment gets multiplied by a factor of:
\(1+\frac{2.75}{100}=1+0.0275=1.0275\)Over 20 semiannual periods, the initial investment will get multiplied by a factor of:
\(1.0275^{20}\)Therefore, after 10 years, the amount of money in the account is:
\(\begin{gathered} 4000\times(1.0275)^{20}=4000\times1.7204\ldots \\ =6881.7137\ldots \end{gathered}\)To the nearest cent, the amount of money in the account will be:
\(6881.71\)What is exactly between 2 and 3 on a number line?
A. 1.5
B. 3.5
C. 2.5
Answer:
2.5 my guy
Step-by-step explanation:
factorise 4px-3my-2pm-6xy
Answer:
E
Step-by-step explanation:
NO
Tim drank 5/6 cup of milk at breakfat and 3/7 of a cup of milk at dinner. In total , how many cup of milk did tom drink
The number of cups that Tim drank is 1 11/42 cups of milk.
How to calculate the number of cups?It should be noted that based on the information, the question has to do with fractions.
In this case, Tim drank 5/6 cup of milk at breakfast and 3/7 of a cup of milk at dinner.
Therefore, the total milk will be the addition of the fractions. This will be:
= 5/6 + 3/7
= 35/42 + 18/42
= 53/42
= 1 11/42
He drank 1 11/42 cups.
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13 Here are the first three terms of a sequence. 26 20 32 Find the first two terms in the sequence that are less than zero.
The first two terms in the sequence that are less than zero are -6 and -18.
To find the first two terms in the sequence that are less than zero, let's analyze the given sequence: 26, 20, 32. Since none of these terms are less than zero, we need to generate additional terms to identify the first two terms that satisfy this condition.
Let's assume the next term in the sequence follows a pattern where we add or subtract a constant value. We can observe that the first term (26) decreases by 6 to reach the second term (20), and then increases by 12 to reach the third term (32). Based on this pattern, we can continue generating terms in the sequence.
The fourth term would be obtained by subtracting 6 from the third term: 32 - 6 = 26.
The fifth term would be obtained by adding 12 to the fourth term: 26 + 12 = 38.
The sixth term would be obtained by subtracting 6 from the fifth term: 38 - 6 = 32.
Continuing this pattern, we can see that the sequence alternates between subtracting 6 and adding 12.
Now, let's check which terms in the sequence are less than zero:
The first term less than zero is -6, which is obtained by subtracting 6 from the fourth term.
The second term less than zero is -18, which is obtained by subtracting 6 from the fifth term.
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if axis deviation is present, which leads that normally have positive qrs complexes will have negative qrs complexes?
If there is an axis deviation, it can result in a reversal of the QRS complex polarity in certain leads. Leads that normally have positive QRS complexes may have negative QRS complexes, and vice versa.
For example, if there is a left axis deviation, leads I and aVL, which normally have positive QRS complexes, may have negative QRS complexes.
Axis deviation refers to the direction in which the electrical activity is traveling through the heart. If the electrical activity is deviated from its normal pathway, it can cause a change in the orientation of the QRS complex, which is a graphical representation of the electrical activity generated by the ventricles during the cardiac cycle.
The change in polarity occurs because the direction of the electrical activity is now opposite to what it would be in a normal heart. This change in polarity can be used to help diagnose the location and type of axis deviation. Understanding the significance of the polarity changes can help healthcare providers determine appropriate treatment plans for patients.
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473hours to days and hours
Answer:
19 days and 17 hours
Step-by-step explanation:
Question 8 (4 points) Find the values of x and y if NO = x + 2y, MO = 3x, PQ = 6x + 4, and OQ = 2y + 4.
Answer:
x = 12 and y = 16
Step-by-step explanation:
Given the following lengths;
NO = x + 2y,
MO = 3x,
PQ = 6x + 4, and
OQ = 2y + 4.
The following postulates are true;
MN = PQ
Since MO + ON = MN
MN = 3x + x+2y
MN = 4x + 2y
Recall that PQ = 6x+4
Equating both expressions;
4x + 2y= 6x+4
Collect like terms;
4x-6x + 2y = 4
-2x + 2y = 4
x - y = -4 ...... 1
Also MO = OQ
3x = 2y + 4
3x-2y= 4 ....2
from 1; x = -4 + y
Substitute into 2:
3x-2y= 4
3(-4+y)-2y = 4
-12+3y-2y = 4
-12+y = 4
y = 4 + 12
y = 16
Since x = -4+y
x = -4 + 16
x = 12
Hence x = 12 and y = 16
Eva is solving the equation 4(x+3/2)=8. She says, “I can subtract 3/2 from each side to get and then divide by 4 to get x=13/8. Dakota says, “I think you made a mistake.” Describe the mistake that Eva made.
Exercise 5 Find the transform. Show the details of your work. a) f(t) = (a - bt)² b) f(t) = cos² (wt)
The Laplace transforms are =
a) f(t) = (a - bt)² is given by F(s) = a²/s + 2ab/s² + 2b²/s³.
b) f(t) = cos²(wt) is given by F(s) = 1/(2s) + (s/(2s² + 4w²)).
a) To find the transform of the function f(t) = (a - bt)², we can use the properties and formulas of the Laplace transform.
Let's begin by applying the power rule and linearity property:
L{(a - bt)²} = L{a² - 2abt + b²t²}
= L{a²} - 2abL{t} + b²L{t²}
Now, we need to find the Laplace transforms of t and t².
Using the formulas:
L{t} = 1/s²
L{t²} = 2/s³
Substituting these values back into the equation, we have:
L{(a - bt)²} = a²/s + 2ab/s² + b²(2/s³)
= a²/s + 2ab/s² + 2b²/s³
Therefore, the Laplace transform of f(t) = (a - bt)² is given by F(s) = a²/s + 2ab/s² + 2b²/s³.
b) To find the transform of the function f(t) = cos²(wt), we can use the trigonometric identity cos²(x) = (1/2) + (1/2)cos(2x).
Applying this identity, we have:
f(t) = (1/2) + (1/2)cos(2wt)
Now, let's find the Laplace transform of each term separately using the formulas:
L{1/2} = 1/(2s)
L{cos(2wt)} = s/(s² + (2w)²)
Using the linearity property, we can combine these results:
L{f(t)} = L{(1/2) + (1/2)cos(2wt)}
= L{1/2} + L{(1/2)cos(2wt)}
= 1/(2s) + (1/2)L{cos(2wt)}
= 1/(2s) + (1/2)(s/(s² + (2w)²))
Simplifying further, we get:
L{f(t)} = 1/(2s) + (s/(2s² + 4w²))
Therefore, the Laplace transform of f(t) = cos²(wt) is given by F(s) = 1/(2s) + (s/(2s² + 4w²)).
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factorize
y ( x + z ) + z ( x + y )
\(\huge\sf\red{Answer}\)
=>yx + yz + zx + zy
=> yx +zx +yz + zy
=> yz² + zx + zy
_______________
Hence solved ✓
\(\Huge \red{An} \green{s} \pink{we} \purple{r:-}\)
\(\large\bf{=2zy+xy+zx}\)
__________________________________________
\(\large\bf{\underline{Here,}}\)
\(\large\bf{⟼y(x+z)+z(x+y)}\)
\(\large\bf{⟼(xy+zy)+ (zx + zy) }\)
\(\large\bf{⟼zy+zy+xy+zx}\)
\(\large\bf{⟼2zy+xy+zx}\)
Find the perimeter of this triangle.
Answer:
15.67 unitsStep-by-step explanation:
Points on the graph:
(3,6), (7,3) and (10,5)Perimeter is the sum of side lengths
Side length is the distance between points
Distance is found by the distance formula:
d = \(\sqrt{(x2-x1)^2 + (y2-y1)^2}\)Sides:
1. \(\sqrt{(7-3)^2 + (3-6)^2}= \sqrt{16+9} = 5\)2. \(\sqrt{(10-3)^2 + (5-6)^2} = \sqrt{49 + 1} = \sqrt{50}\) = 7.073. \(\sqrt{(10-7)^2 + (5-3)^2} =\sqrt{9 + 4} =\sqrt{13}\) = 3.60Perimeter:
P = 5 + 7.07 + 3.6 = 15.67pls help answer question in picture
Step-by-step explanation:
2 1/3
=2*3+1/3
=7/3
find the product of a) 1/10×5/6
Answer:
1/12
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a population is modeled by the differential equation dp/dt = 1.3p (1 − p/4200).
For what values of P is the population increasing?
P∈( ___,___) For what values of P is the population decreasing? P∈( ___,___) What are the equilibrium solutions? P = ___ (smaller value) P = ___ (larger value)
The population is increasing when P ∈ (0, 4200) and decreasing when P ∈ (4200, ∞). The equilibrium solutions are P = 0 and P = 4200.
The given differential equation dp/dt = 1.3p (1 − p/4200) models the population, where p represents the population size and t represents time. To determine when the population is increasing, we need to find the values of P for which dp/dt > 0. In other words, we are looking for values of P that make the population growth rate positive. From the given equation, we can observe that when P ∈ (0, 4200), the term (1 − p/4200) is positive, resulting in a positive growth rate. Therefore, the population is increasing when P ∈ (0, 4200).
Conversely, to find when the population is decreasing, we need to determine the values of P for which dp/dt < 0. This occurs when P ∈ (4200, ∞), as in this range, the term (1 − p/4200) is negative, causing a negative growth rate and a decreasing population.
Finally, to find the equilibrium solutions, we set dp/dt = 0. Solving 1.3p (1 − p/4200) = 0, we obtain two equilibrium values: P = 0 and P = 4200. These are the population sizes at which there is no growth or change over time, representing stable points in the population dynamics.
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2(5x + 3x2 -4) - (6x - 9)
Answer: X=3
Step-by-step explanation:
and the answer to the problem is 4x+13
Answer: 4x+13
Solution Steps
2(5x+3×2−4)−(6x−9)
Multiply 3 and 2 to get 6.
2(5x+6−4)−(6x−9)
Subtract 4 from 6 to get 2.
2(5x+2)−(6x−9)
Use the distributive property to multiply 2 by 5x+2.
10x+4−(6x−9)
To find the opposite of 6x−9, find the opposite of each term.
10x+4−6x−(−9)
The opposite of −9 is 9.
10x+4−6x+9
Combine 10x and −6x to get 4x.
4x+4+9
Add 4 and 9 to get 13.
4x+13
15x+23+6-8x ? what is the answer
Answer:
7x+29
Step-by-step explanation:
Find the distance between the point x = (-1,9) and y = (-2,8)
Answer:
1.4
Step-by-step explanation:
use distance formula
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
5.39
Step-by-step explanation:
To find the third side (let's call it x) you plug the side lengths given into the Pythagorean theorem to get:
5² + 2² = x²
Which, simplified, is:
25 + 4 = x²
And to get x, you do:
x=√(29)
So, if you want it to the nearest hundredth, it is 5.39.
square root of 29.00
Step-by-step explanation:
5square +2square=29 to the nearest hundredth 29.00 .but there is no square root of 29
9. The following is for problems #7-12.
In parallelogram ABCD, AD = 19, EC = 15, m ABC = 66', mZDAC = 78
and mZBDC = 19'.
Find mZDAB.
Answer:
m∠DAB is 114°
Step-by-step explanation:
The given parameters are;
The dimensions of the given parallelogram ABCD are AD = 19, EC = 15, m∠ABC = 66°, m∠DAC = 78°, m∠BDC = 19°
Given that in parallelogram ABCD, the same side interior angles are supplementary, we have;
m∠ABC and m∠DAB are supplementary
Therefore;
m∠ABC + m∠DAB = 180° by definition of supplementary angles
66° + m∠DAB = 180°
m∠DAB = 180° - 66° = 114°
m∠DAB = 114°.
A recipe calls for 13 cup of flour and 25 cup of cinnamon. How many cups of cinnamon are needed for each cup of flour?
Answer:
1.92
Step-by-step explanation:
Given :
Cups of flour = 13
Cups of cinnamon = 25
Number of cinnamon cups needed for each cup of flour :
Number of cinnamon cups / number of cups of flour
25 / 13
= 1.923
Hence, about 1.92 cups of cinnamon is needed per cup of flour
HELP I WILL GIVE YOU BRAINLIEST PLS ASAP PLS HELP
Answer:
it is tetrahydrocannabinol for number 1 trust me
Step-by-step explanation:
verify the following 6 x c x a=a x b x c = c x a x b
That is not correct.
The order of multiplication matters in multiplication expressions.
The correct order should be:
6 x a x b = a x b x 6
c x a x b = a x b x c
So the original expressions you provided:
6 x c x a=a x b x c
a x b x c = c x a x b
Are not equivalent. The order of the factors matters in multiplication.
The perimeter of a triangle is 44 inches. The length of one side is twice the length of the shortest side, and the length of the other side is eight inches longer than the length of the shortest side.
Choose a variable and tell what that variable represents.
Answer:
side a = Smallest = 9 inches
side b = 18 inches
side c = 17 inches
Step-by-step explanation:
The formula for the perimeter of a triangle = side a + side b + side c
side a = Smallest
The perimeter of a triangle is 44 inches.
The length of one side is twice the length of the shortest side
Hence:
b = 2a
The length of the other side is eight inches longer than the length of the shortest side.
Hence,
c = 8 + a
Hence, we substitute into the Intial formula
a + 2a + 8 + a = 44 inches
4a + 8 = 44
4a = 44 - 8
4a = 36
a = 36/4
a = 9 inches
Solving for b
b = 2a
b = 2 × 9 inches = 18 inches
Solving for c
c = a + 8
c = 9 inches + 8 = 17 inches
Ariel is working at a meat- packing plant 5 nights a week. Her regular wage is $11 an hour. She earns time and a half for any overtime hours. This week she worked 9 hours of overtime. How much will Ariel earn for overtime this week?
Answer:
\(\large \boxed{\$148.50}\)
Step-by-step explanation:
Regular pay = $11/h
Time and-a half = 1½ × regular pay = 1½ × $11/h = $16.50/h
\(\text{Overtime} = \text{9 h} \times \dfrac{\$ 16.50}{\text{1 h }} = \mathbf{\$148.50}\\\\\text{Ariel's overtime earnings will be $\large \boxed{\mathbf{\$148.50}}$}\)
I need help with numbers 18-20 The instructions are to factor the greatest common factor out of every term of polynomial. Pls help me I have not been able to figure these problems out
Answer:
Solving steps:
18) 16a²b - 8abc + 4ab²c²
=> 4ab(4a - 2c + bc²)
19) 3x³ + 3x² - 3x
=> 3x(x² + x - 1)
20) 2abx² + 3abx³ - 4abx\( {}^{4} \)
=> abx²(2 + 3x - 4x²)
When 36 is subtracted from the square of a number, the result is five times the number. What is the positive solution?
Answer:
9
Step-by-step explanation:
\(x^{2}\) - 36 = 5x
\(x^{2}\) - 36 = 5x
\(x^{2}\) -5x = 36
\(9^{2}\) - 45 = 36
+ 45 + 45
-----------------------
81 = 81 ✅
\(9^{2}\) - 36 = 5(9)
81 - 36 = 45 ✅
A simple random sample with n = 56 provided a sample mean of 22.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.)
a) Develop a 90% confidence interval for the population mean.
b) Develop a 95% confidence interval for the population mean.
c) Develop a 99% confidence interval for the population mean.
a) The 90% confidence interval for the population mean is approximately (21.52, 23.48).
b) The 95% confidence interval for the population mean is approximately (21.322, 23.678).
c) The 99% confidence interval for the population mean is approximately (20.926, 24.074).
To develop confidence intervals for the population mean, we can use the formula:
Confidence Interval = sample mean ± (critical value * standard error)
where the standard error is equal to the sample standard deviation divided by the square root of the sample size.
a) For a 90% confidence interval, we need to find the critical value corresponding to a confidence level of 90%. The critical value can be obtained from the t-distribution table with (n-1) degrees of freedom. Since the sample size is 56, the degrees of freedom is 56-1 = 55.
From the t-distribution table, the critical value for a 90% confidence interval with 55 degrees of freedom is approximately 1.671.
The standard error can be calculated as:
Standard Error = sample standard deviation / sqrt(sample size)
Standard Error = 4.4 / sqrt(56)
Standard Error ≈ 0.5882
Now we can calculate the confidence interval:
Confidence Interval = 22.5 ± (1.671 * 0.5882)
Confidence Interval = 22.5 ± 0.9816
Confidence Interval ≈ (21.52, 23.48)
b) For a 95% confidence interval, the critical value for 55 degrees of freedom is approximately 2.004 (obtained from the t-distribution table).
Standard Error = 4.4 / sqrt(56) ≈ 0.5882
Confidence Interval = 22.5 ± (2.004 * 0.5882)
Confidence Interval = 22.5 ± 1.178
Confidence Interval ≈ (21.322, 23.678)
c) For a 99% confidence interval, the critical value for 55 degrees of freedom is approximately 2.678 (obtained from the t-distribution table).
Standard Error = 4.4 / sqrt(56) ≈ 0.5882
Confidence Interval = 22.5 ± (2.678 * 0.5882)
Confidence Interval = 22.5 ± 1.574
Confidence Interval ≈ (20.926, 24.074)
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