The patient takes 15mL of of Maalox® in one day.
How much does the patient take in one day?From the question, we have the following parameters that can be used in our computation:
Take 5mL po 1hr a.c., 1hr p.c., and h.s.
The order says:
Take 5mL of Maalox® 1 hour before meals (a.c.), 1 hour after meals (p.c.), and at bedtime (h.s.).Since there are three meals in a day (breakfast, lunch, and dinner),
Then the patient takes 5mL of Maalox® three times a day.
So, the patient takes 5mL * 3 = 15mL in one day.
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Cho phương trình: x1 + x2 + x3 + x4 + x5 = 30 (*)
a. Tìm số nghiệm nguyên không âm của phương trình (*)
b. Tìm số nghiệm nguyên không âm của phương trình (*) thỏa: x2 ≤7 và x3 ≤12
Giúp mình với hihi
Answer:
Step-by-step explanation:
ngu dot
6(s-9) simplify the expression
Answer:
6s−54
Step-by-step explanation:
Use the distributive property to multiply 6 by s−9. i hope this helps
Danielle wants to paint a ceramic planter. The total price is the cost of the
planter plus an hourly painting rate of $6. Determine how many hours Danielle
painted if she spent $9 on the planter and her total bill was $33.
Answer:
4 hours
Step-by-step explanation:
Danielle spent 4 hours painting. You can get this answer by subtracting how much money she spent on the pot from the total bill. This gets you 24. Then you divide this by 6, the amount of money if costs to paint an hour, which gets you 4.
A survey asked people how many siblings they have, and the results were recorded in this line plot.
How many people surveyed have 4 or more siblings?
dot plot
Answer:
we need a pic of the graph to be able. to work this out.
THANK YOU
Answer:
It's 5.
Step-by-step explanation:
8-3= 5
Rachel measured the lengths of a random sample of 100 screws. The mean length was 2.9 inches, and the population standard deviation is 0.1 inch. To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?
Answer:
z = 10
Step-by-step explanation:
The value of the z-statistic is given by:
\(z = \frac{X - \mu}{s}\)
In which:
X is the measured value.
\(\mu\) is the expected value.
\(s = \frac{\sigma}{\sqrt{n}}\) is the standard deviation of the sample. \(\sigma\) is the standard deviation of the population.
In this question:
The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.
This means that \(\mu = 2.9, \sigma = 0.1\)
Random sample of 100 screws.
This means that n = 100.
To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?
3 inches, so \(X = 3\)
\(s = \frac{0.1}{\sqrt{100}} = 0.01\)
\(z = \frac{X - \mu}{s}\)
\(z = \frac{3 - 2.9}{0.01}\)
\(z = 10\)
Answer:
-10
Step-by-step explanation:
If we first note the denominator of fraction numerator sigma over denominator square root of n end fraction equals fraction numerator 0.1 over denominator square root of 100 end fraction equals fraction numerator begin display style 0.1 end style over denominator 10 end fraction equals 0.01
Then, getting the z-score we can note it is z equals fraction numerator x with bar on top minus mu over denominator begin display style 0.01 end style end fraction equals fraction numerator 2.9 minus 3 over denominator 0.01 end fraction equals negative 10
This tells us that 2.9 is 10 standard deviations below the value of 3, which is extremely far away.
Which point represents the unit rate?
A
B
C
D
Answer:
Point C represents the unit rate
Step-by-step explanation:
If I make $16.15 per hour. How much will I earn in a 5hr shift?
A city lot is 20 4/5 meters wide. It is 2 1/2 times as long as it is wide. How long is the city lot? Express your answer in simplest form.
ANSWERS
52 meters
54 meters
52 1/10 meters
54 1/10 meters
Answer: Choice A) 52 meters
===============================================
Work Shown:
20 & 4/5 = 20 + 4/5 = 20 + 0.8 = 20.8
2 & 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5
The width is 20.8 meters. The length is 2.5 times that
length = 2.5*width
length = 2.5*20.8
length = 52
What is angle-angle-side congruence theorem?
According to the Angle-Angle-Side (AAS) Congruence Theorem, triangles are congruent if two angles and a non-included side in one triangle are congruent to two angles and the corresponding non-included side in another triangle.
What is triangle?Any three points in Euclidean geometry that are not collinear result in a single triangle and single plane (i.e. a two-dimensional Euclidean space). In other words, each triangle is contained in a single plane, and there are no additional planes.
If all geometry is on the Euclidean plane, then all triangles are contained in a single plane, but in higher-dimensional Euclidean spaces, this is no longer true.
The first page of Euclid's Elements, which was written more than two thousand years ago, defines the terminology used to categorize triangles. In contemporary classification, names are either translated from Latin or directly transliterated from Euclid's Greek.
Hence, According to the Angle-Angle-Side (AAS) Congruence Theorem, triangles are congruent if two angles and a non-included side in one triangle are congruent to two angles and the corresponding non-included side in another triangle.
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Christopher works as a translator of
literature. He gets paid different
amounts for translating articles and for
translating book chapters. In January,
he was paid $340 for translating 3 book
chapters and 2 articles. In February,
he was paid $380 for translating 1 book
chapter and 6 articles. How much is
Christopher paid, in dollars, to translate
each article?
Answer:
50$
Each book is equal to 80 now here's the math
50x2=100 340-100=240/3=80
380-80=300/6=50
This is all coming from a high schooler so I may be wrong however this is pretty basic and if I'm wrong flame me man
y=39 , y=41: solve the system
The table below shows that the number of miles driven by Ellie is directly
proportional to the number of gallons she used.
Gallons Used Miles Driven
9 228.6
42 1066.8
46 1168.4
How many miles can she travel on 22.8 gallons of gas?
What are the solutions to the quadratic equation 4(x + 2)2 = 36 x = −11 and x = 7 x = −7 and x = 11 x = −5 and x = 1 x = −1 and x = 5
Answer:
c
Step-by-step explanation:
edge2020
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
What is a Quadratic Equation?
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given that;
4(x + 2)² = 36
4( x(x + 2) + 2(x+2) ) = 36
4( x² + 2x + 2x + 4 ) = 36
4( x² + 4x + 4 ) = 36
4x² + 16x + 16 = 36
4x² + 16x + 16 - 36 = 0
4x² + 16x - 20 = 0
We can further simply ( divide through by 4 )
x² + 4x - 5 = 0
Hence,
a = 1b = 4c = -5x = (-b±√(b² - 4ac)) / (2a)
x = (-4±√(4² - (4 × 1 × -5)) / (2×1)
x = (-4±√(16 - (-20)) / (2)
x = (-4±√(16 + 20)) / (2)
x = (-4±√(36)) / 2
x = (-4±6)) / 2
Hence
x = (-4-6)) / 2 and x = (-4+6)) / 2
x = -10/2 and x = 2/2
x = -5 and x = 1
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
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Robert is making a 3-digit number by choosing three different
numbers from the following list:
1, 5, 7, 8, 9
How many different 3-digit numbers could Robert make?
If there are 5 numbers in the list then we can make 60, 3 digit numbers by choosing three different numbers.
Given that there are 5 numbers in the list and different numbers have been chosen.
We are required to find the numbers of 3 digit numbers that Robert could make.
Because 3 different numbers are to be chosen from 5 numbers of the list, the total numbers of 3 digit numbers could be made by Robert =5*4*3
=60 numbers
Hence if there are 5 numbers in the list then we can make 60, 3 digit numbers by choosing three different numbers.
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A cake recipe calls for 4 cups of flour and 2 cups of sugar.
(a) Express the unit rate of cups of flour
рег
Answer:
The unit rate is 2 cups of flour per cup of sugar.
Step-by-step explanation:
Find the value of x. Then find the measure of each labeled angle.
x= ____° (Simplify your answer.)
13x°= _____° (Simplify your answer.)
7x°= ____° (Simplify your answer.)
Answer:
13x + 7x = 180 (corresponding angles, sum of adjacent angles on a straight line=180)
20x = 180
x = 9
Substitute x into angle measures to find values.
13x° = 13(9)
= 117°
7x° = 7(9)
= 63°
Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
possible answers -
By the cross product property, AB2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by AD.
By the cross product property, AB2 = BC multiplied by AD.
The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:
Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.
By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).
Using the proportionality of similar triangles, we can write the following ratio:
\($\frac{AB}{BC} = \frac{AD}{AB}$\)
Cross-multiplying, we get:
\($AB^2 = BC \cdot AD$\)
Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:
\($\frac{AC}{BC} = \frac{AD}{AC}$\)
Cross-multiplying, we have:
\($AC^2 = BC \cdot AD$\)
Now, we can substitute the derived expressions into the original equation:
\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)
It was made possible by cross-product property.
Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
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Here are a few pairs of positive numbers whose sum is 34. (3 pts)
a. Find the product of each pair of numbers.
First
Number
1
4
8
14
Second
Number
33
30
26
20
b. Which pair of numbers that have a sum of 34 will produce the largest possible
product? What is that product?
Answer: 280
Step-by-step explanation:
The products of each pair of numbers are:
1 x 33 = 33
4 x 30 = 120
8 x 26 = 208
14 x 20 = 280
b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).
The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.
HELPP!!! URGENT!!!!! This is Algebra 1 Should be easy but i'm terrible at math so PLEASE HELP!
The simplified expression is -16∛3.
We have,
-2∛24 - 4∛81
Now,
\(3^4\) = 81
So,
∛81 = ∛(3³ x 3) = 3∛3
And,
2³ = 8
∛24 = ∛(8 x 3) = ∛8 x ∛3 = 2∛3
Now,
-2∛24 - 4∛81
-2 x 2∛3 - 4 x 3∛3
= -4∛3 - 12∛3
= -16∛3
Thus,
The simplified expression is -16∛3.
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here are the distances she ran (in kilometers) 9.38, 12.6, 16, 3 what is the total distance raina ran on these four days?
Answer:
Step-by-step explanation:
The total distance Raina ran on these four days is:
9.38 + 12.6 + 16 + 3 = 41.98 kilometers
1/2 + (- 3/4)
1. 1
2. -1
3. -1/4
4. 1/4
Answer:
3. -1/4
Step-by-step explanation:
Similar to doing 0.5-0.75 which ends up as -0.25 which is equal to -1/4
(18+2x)2 i need help with this please answer this
Answer:
36+4x
Step-by-step explanation:
i think this is just asking for simplification
times two by each vvariqble in the bracket
36+4x
The regular price of a baseball cleats is $80. If the cleats are on sale for 45% off. then: (how to solve this two questions?) a) What is the value of the discount, in dollars? b) What is the final selling price of the cleats, before tax?
Answer:
The discount is 36 dollars
The sale price is 44 dollars
Step-by-step explanation:
First find the discount by multiplying the original price by the discount rate
80*45%
Change to decimal form
80*.45
36
The discount is 36 dollars
The sale price is the original price minus the discount
80-36
44
The sale price is 44 dollars
Select the correct answer from each drop-down menu.
When she was 20, Liz started saving $6,000 a year for retirement. Her goal is to reach $100,000 in savings by the time she’s 30. Her account earns 8% interest per year, compounded annually.
Liz have saved $100,000 by age 30. She’ll her goal by about .
Answer:
Find below correct question:
When she was 20, liz started saving $6,000 a year for retirement. her goal is to reach & 100,00 in savings by the time she’s 30. her account earns 8% interest per year, compounded annually. liz (will/ won’t) have saved $100,000 by age 30. she’ll (exceed/ fall short of) her goal by about ($10,081/ $13,081/ $14,011)
liz won’t have saved $100,000 by age 30. she’ll fall short of her goal by about $13,081
Step-by-step explanation:
First and foremost we need to know the worth of Liz's retirement savings when she is 30 using excel fv formula as follows:
=fv(rate,nper,-pmt,pv)
rate is the interest earned per year which is 8%
nper is the duration of savings which is 10 years
pmt is the amount of yearly savings which is $6,000
pv is the present worth of total savings which is not known
=fv(8%,10,-6000,0)=$86,919.37
Hence,Liz would be not be able to reach $100,000 at age 30.
Shortfall=$100,000-$86,919.37 =$ 13,080.63
Points x and y and points C,D,E and f are shown what is true about points
The true statement is "the line that can be drawn through points D and E is contained in plane Y".
option B is the correct answer
What are the true statements about the point x and y?The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;
We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.
The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.
So, option (A) is NOT correct.
The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.
So, option (B) is CORRECT.
Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.
So, option (C) is NOT correct.
Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.
So, option (D) is NOT correct.
Thus, the correct option is;
The line that can be drawn through points D and E is contained in plane Y.
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The complete question is below:
Points x and y and points C,D,E and f are shown what is true about points
(A) The line that can be drawn through points C and D is contained in plane Y.
(B) The line that can be drawn through points D and E is contained in plane Y.
(C) The only point that can lie in plane X is point F.
(D) The only points that can lie in plane Y are points D and E
An uncapped fibre contract originally cost R990 per month. It has now fallen in price to R765 per month. What is the percentage decrease in the monthly price of the contract?
Answer:
To find the percentage decrease, we need to find the difference between the original price and the new price, divide that difference by the original price, and then multiply by 100 to express the result as a percentage.
The difference between the original price and the new price is:
990 - 765 = 225
Dividing the difference by the original price gives:
225 ÷ 990 ≈ 0.227
Multiplying by 100 gives:
0.227 x 100 ≈ 22.7
Therefore, the percentage decrease in the monthly price of the contract is approximately 22.7%.
Step-by-step explanation:
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Can someone please tell me what the equation for this will be.
Answer:
y = 0.8x + 0.5
Step-by-step explanation:
First, find the slope using two pairs of values, (0.5, 0.9) and (0.75, 1.1):
\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1.1 - 0.9}{0.75 - 0.5} = \frac{0.2}{0.25} = 0.8 \)
m = 0.8
Find y-intercept, b, by substituting x = 0.5, y = 0.9 and m = 0.8 into y = mx + b
Thus:
0.9 = (0.8)(0.5) + b
0.9 = 0.4 + b
0.9 - 0.4 = b
b = 0.5
To write the equation substitute m = 0.8, and b = 0.5 into y = mx + b.
Thus:
y = 0.8x + 0.5
Solve the problem using a system of equations: The sum of two numbers is 12 and the product is 32.
\(\begin{cases} \stackrel{\textit{sum is twelve}}{a + b = 12}\\ \stackrel{\textit{product is 32}}{ab = 32}\\[-0.5em] \hrulefill\\ a + b = 12\\ b = 12 - a \end{cases}\qquad \implies \stackrel{\textit{substituting that in our 2nd equation}~\hfill }{a(12-a) = 32\implies 12a-a^2=32} \\\\\\ 0=a^2-12a+32\implies 0=(a-8)(a-4)\implies a= \begin{cases} 8\\ 4 \end{cases} \\\\\\ \stackrel{\textit{we know that}}{b = 12 - a}\implies b = \begin{cases} 12-8\to &4\\ 12-4\to &8 \end{cases}\)
On the coordinate plane, the endpoints of a line segment are (9, 5) and (3, 7). What is the midpoint of the line segment?
Answer:
(6, 6)
Step-by-step explanation:
The formula to find midpoint is (xm, ym) = (x1+x2)/2, (y1+y2)/2
In this case, x1= 9
x2= 3
y1= 5
and y2= 7
so, (xm, ym) = (9+3)/2, (5+7)/2
which can be simplified to
(xm, ym)= 12/2, 12/2
which equals (xm, ym) = 6,6
so the x value of the midpoint is 6 and the y value of the midpoint is 6
which makes the midpoint (6,6)