Answer:
[tex]176\ \text{ml/hr}[/tex]
[tex]58.08\ \text{mL/hr}[/tex]
[tex]11\ \text{gtt/hr}[/tex]
[tex]638.88\ \text{mg}[/tex]
Step-by-step explanation:
33 % dextrous solution ( 33 mg per 100 mL of solution)
1.936 L of the solution is given over an 11-hour period
So the flow rate in mL/hr is
[tex]\dfrac{1.936\times 10^3}{11}=176\ \text{ml/hr}[/tex]
The flow rate in ml/hr is [tex]176\ \text{ml/hr}[/tex]
Flow rate of dextrous in mL/hr is
[tex]0.33\times 176=58.08\ \text{mL/hr}[/tex]
The flow rate dextrous in mL/hr is [tex]58.08\ \text{mL/hr}[/tex]
Each mL contains 16 drops so flow rate in gtt/h is
[tex]\dfrac{176}{16}=11\ \text{gtt/hr}[/tex]
The flow rate in units of gtt/hr is [tex]11\ \text{gtt/hr}[/tex]
The mass of dextrous delivered 11 hours in mg is
[tex]0.33\times 1.936\times 10^3=638.88\ \text{mg}[/tex]
The mass of dextrous delivered 11 hours in mg is [tex]638.88\ \text{mg}[/tex]
PLZZZZZZZZZZZZZZ HURRYYY ..The graph represents the serving sizes of chow mein at a local restaurant. Which of these describes the unit rate? *
A: (5, 1250) where 1250 is the unit rate
B: (3, 750) where 3 is the unit rate
C: (1, 250) where 250 is the unit rate
D: (7, 1750) where 7 is the unit rate
Answer:
C
Step-by-step explanation:
the unit rate is how much for one. so in the graph we can see that one serving is equal to 250 grams.
hope this helps :))
Can someone please help asap
Answer:
h= 5hx4 c= 6cx4
Step-by-step explanation:
Help with this math please
Answer:
The answer is -20 .
Step-by-step explanation:
You have to substitute x = -4 into the function :
[tex]f(x) = 3x - 8[/tex]
[tex]f( - 4) = 3( - 4) - 8[/tex]
[tex]f( - 4) = - 20[/tex]
Answer:
Step-by-step explanation:
f(x) = 3x - 8
f(-4) = 3*(-4) - 8
f(-4) = -12 - 8
f(-4) = - 20
-20 is what goes in the box.
the equation Y=1 1/2X represents the number of cups of dried fruit, Y. needed to make X pounds of granola. Determine whether each point would be on the graph of this proportional relationship
(1 1/2,1) (4,6) (18,12) (0,0) (2 1/2. 3 3/4 )
Answer:
[tex]2.\ \ (4,6)[/tex]
[tex]4.\ \ (0,0)[/tex]
[tex]5.\ \ (2\frac{1}{2},3\frac{3}{4})[/tex]
Step-by-step explanation:
Given
[tex]y = 1\frac{1}{2}x[/tex]
Required
Determine if the given points is on the graph
First,, we rewrite [tex]y = 1\frac{1}{2}x[/tex] as
[tex]y = \frac{3}{2}x[/tex]
[tex]1.\ \ (1\frac{1}{2},1)[/tex]
This can be interpreted as:
[tex]x = 1\frac{1}{2}[/tex]
[tex]y = 1[/tex]
Substitute [tex]x = 1\frac{1}{2}[/tex]
[tex]y = \frac{3}{2} * 1\frac{1}{2}[/tex]
[tex]y = \frac{3}{2} * \frac{3}{2}[/tex]
[tex]y = \frac{9}{4}[/tex]
This isn't equal to the given value of y.
Hence: [tex](1\frac{1}{2},1)[/tex] is not a point on the graph
[tex]2.\ \ (4,6)[/tex]
Here,
[tex]x = 4[/tex]
[tex]y = 6[/tex]
Substitute [tex]x = 4[/tex]
[tex]y = \frac{3}{2} * 4[/tex]
[tex]y = \frac{3 * 4}{2}[/tex]
[tex]y = \frac{12}{2}[/tex]
[tex]y = 6[/tex]
This point is on the graph
[tex]3.\ \ (18,12)[/tex]
Here,
[tex]x = 18[/tex]
[tex]y = 12[/tex]
Substitute [tex]x = 18[/tex]
[tex]y = \frac{3}{2} * 18[/tex]
[tex]y = \frac{3 * 18}{2}[/tex]
[tex]y = \frac{54}{2}[/tex]
[tex]y = 27[/tex]
This isn't equal to the given value of y.
Hence: [tex](18,12)[/tex] is not a point on the graph
[tex]4.\ \ (0,0)[/tex]
Here, we have
[tex]x = 0[/tex]
[tex]y = 0[/tex]
Substitute [tex]x = 0[/tex]
[tex]y = \frac{3}{2} * 0[/tex]
[tex]y = 0[/tex]
Hence:
This point is on the graph
[tex]5.\ \ (2\frac{1}{2},3\frac{3}{4})[/tex]
Here
[tex]x =2\frac{1}{2}[/tex]
[tex]y = 3\frac{3}{4}[/tex]
Substitute [tex]x =2\frac{1}{2}[/tex]
[tex]y = \frac{3}{2} * 2\frac{1}{2}[/tex]
[tex]y = \frac{3}{2} * \frac{5}{2}[/tex]
[tex]y = \frac{15}{4}[/tex]
[tex]y = 3\frac{3}{4}[/tex]
Hence:
This point is on the graph
ES
To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $5.70 per hour. The film club
wants to spend less than $67.50 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
t<5
39 + 5.7t < 67.5
-39
5.7t < 28.5
divide by 5.7
t < 5
If (Triangle)ABC is similar to (Triangle)EDC, what is the value of x?
Answer:
37.5 (G)
Step-by-step explanation:
Set up a proportion:
[tex] \frac{40}{100} = \frac{15}{x} [/tex]
Next cross multiply
[tex](15)(100) = (40)(x)[/tex]
[tex]1500 = 40x[/tex]
Lastly solve for x by dividing both sides by 40
[tex]\frac{1500}{40} = \frac{40x}{40} [/tex]
[tex]x = 37.5[/tex]
Please help really urgent I will do anything you want me to doooo!!! Pleaseeeee
Answer:
3
Step-by-step explanation:
the runners are running 5.6 miles mph
Consider the following information: Observations 1 2 3 4 5 6 Num. of defects 10 18 13 15 9 12 The number of runs above and below the sample median is:
Answer:
There are 3 runs above and below the sample mean
Step-by-step explanation:
From the given information; we have a table that can be computed as:
Observations 1 2 3 4 5 6
Number of defects 10 18 13 15 9 12
If we sort the order in ascending order; we have:
Observations 5 1 6 3 4 2
Number of defects 9 10 12 13 15 18
The median is the middle number; here the integers are even :
Thus, the median is (12 + 13)/2 = 12.5
We need to make counts from the table given above to determine if they are below or above the median
Observations 1 2 3 4 5 6
Number of defects 10 18 13 15 9 12
Above(A) /Below (B) B A A A B B
To count for the number of runs from the beginning and when there is a change of runs from A to B; we have:
Observations 1 2 3 4 5 6
Number of defects 10 18 13 15 9 12
Above(A) /Below (B) B A A A B B
Runs 1 2 - - 3 -
Therefore, from the analysis, there are 3 runs above and below the sample mean
The median element of a dataset is the middle element of the dataset.
There are 3 runs above and below the sample median
The information is given as:
Observations 1 2 3 4 5 6
Defects 10 18 13 15 9 12
In ascending order, the information is represented as:
Defects 9 10 12 13 15 18
Observations 5 1 6 3 4 2
The total number of observations is:
[tex]\mathbf{n = 5 + 1 + 6 + 3+ 4 + 2}[/tex]
[tex]\mathbf{n = 21}[/tex]
The median element is calculated as:
[tex]\mathbf{Median = \frac{n + 1}{2}th}[/tex]
Substitute 21 for n
[tex]\mathbf{Median = \frac{21 + 1}{2}th}[/tex]
[tex]\mathbf{Median = \frac{22}{2}th}[/tex]
[tex]\mathbf{Median = 11th}[/tex]
The 11th element is 12.
So, the median is:
[tex]\mathbf{Median = 12}[/tex]
Considering the given information;
Observations 1 2 3 4 5 6
Defects 10 18 13 15 9 12
The defects greater than the median (i.e. 12) are above (A) the median, while the defects less than the median are below (B)
So, we have:
Observations 1 2 3 4 5 6
Defects 10 18 13 15 9 12
Status B A A A B -
Next, we take a count of the number of times the status changes, i.e. from B to A, from A to B, from A or B to -
The count is 3.
Hence, there are 3 runs above and below the sample median
Read more about median at:
https://brainly.com/question/6587502
15% of students in class are left handed. If there are 6 students who are left handed how many students are in the class
A recipe calls for 5 cups of sugar for 30 servings . How many cups of sugar are needed to make 8 servings?
Find a radical expressions for the perimeter of the shaded triangle Simplify the expression.
Answer:20+4√17
Step-by-step explanation:
2 of 3 sides are 16 and 4 units . The angle between them is 90 degrees.
So we can find the length of the third side using Pitagor theorem.
c= SQRT( 16²+4²)= sqrt (256+16)= sqrt (272)
So the perimeter of the shaded triangle is equal to
P= 4+16+sqrt(272)=20+4√17
The radical expressions for the perimeter of the shaded triangle is 20 + 4√17
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a rectangle shown in the picture with dimensions.
Using Pythagoras theorem;
The inclined length = √(4²+16²) = √272 = 4√17
The perimeter of the shaded region = 16 + 4 + 4√17
Perimeter = 20 + 4√17
Thus, the radical expressions for the perimeter of the shaded triangle is 20 + 4√17
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ2
What is 17/40 as a decimal
Answer: 0.425
Step-by-step explanation:
what is 1 3/8 divided by 1/2?
Answer:
2.75 or 2 3/4
Step-by-step explanation:
Answer:
11/4
Step-by-step explanation:
First start by writing the equation using only fractions:
11/8 / 1/2 =
Next, change the sign to multiplication by taking the reciprocal of the second number:
11/8 * 2 =
Then multiply the two numbers together:
22/8 =
And finally, simply the fraction:
11/4
I WILL MAKE U BRAINLIEST PLZ HELP (Simplify. Enter the answer in the box.
[tex] \sqrt[3]{512} [/tex]
Answer:
It is 8
Step-by-step explanation:
0.1 is 1/10 of what?
Answer:
1
Step-by-step explanation:
Plzzz help this is a quick question
Answer:
Option 2
Step-by-step explanation:
Option 1 is wrong because:
-√16 = -4, therefore we can conclude -20.5 isn't greater than -√16
Option 3 is wrong because:
Using common knowledge, we know that π (pi) = 3.14159265...
HELP IT'S DUE TONIGHT!!!!!
If a piece of steel 12 feet long weighs 168 pounds, how much will a piece of steel 20 feet long weigh?
Answer:
280lbs
Step-by-step explanation:
168/12=14
14×20=280
if anyone would help I would give you brainliest
Answer:
[tex]x = 14.[/tex]
Step-by-step explanation:
[tex]using \: the \: sum \: of \: angles : \\ (7x - 11) + (2x - 3 ) + (5x - 2) = 180 \\ 14x - 16 = 180 \\ 14x = 196 \\ x = 14[/tex]
Your friend has a mold that holds 3/4 of a cup of root beer if she has six cups of root beer how many popsicles can she make
Answer:
8
Step-by-step explanation:
If you turn 8 into a fraction you'll get 24 / 4
then you divide 24/4 by 3/4 you'll get 8
Answer:
Your friend can make 8 popsicles
Explanation:
Convert any mixed numbers to fractions. Then your initial equation becomes:
6/1 ÷ 3/4 = ?
Applying the fractions formula for division (flip the second fraction and multiply):
6/1 x 4/3 = 24/3
Simplify 24/3, the answer is:
8 popsicles
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
Which number is rational?
v2
pi
v10
v16
Answer:The square root of 16 is rational.
Step-by-step explanation:
According to the High School Athletics Participation Survey, 55% of students enrolled in high school participate in athletic programs. Suppose 12 high school students are randomly selected and the number who participate in athletic programs is recorded. Round probabilities to 4 decimal places. 6.Explain why this is a binomial experiment
Answer:
The given experiment is binomial experiment
1. There are two outcomes classified as success or failure.
2. The probability of success remains fixed on each trial.
3. There are n fixed number of trial.
4. The trails are independent.
Step-by-step explanation:
The given experiment is binomial experiment because
1. There are two outcomes classified as success or failure. Here success is participating in athletic programs and failure is not participating in athletic programs.
2. The probability of success i.e. probability of participating in athletic programs 0.55 remains fixed on each trial.
3. There are n fixed number of trial i.e. 12.
4. The trails are independent i.e. students participates in athletic programs independently.
what is the value of x? exactly
Answer:
wouldn't it be 90 degrees?
Step-by-step explanation:
The period of is....
If you are right I will mark you brainliest.
Answer:
π/4
Step-by-step explanation:
Brain weights are normally distibuted with mean 1400.48 grams and standard deviation 106.33 grams. Find the 80th percentile of this distribution.
Answer:
The 80th percentile of the distribution is 1,490.01 grams
Step-by-step explanation:
Here, we want to find the 80% of the distribution
80% means 80/100 = 0.8
We need to get the z-score equivalent to 80th percentile;
This is equal to 0.842
Mathematically;
z-score = (x - mean)/SD
we want to calculate x here;
0.842 = (x - 1400.48)/(106.33)
106.33(0.842) + 1400.48 = x
x = 1,490.00986 which is 1,490.01 grams to 2 decimal places
my recipe for apple cider punch calls for 2 quarts of apple cider, three teaspoons of cinnamon, and one pint of lemon-lime soda. This will make enough for 8 people. in my neighborhood, there are 40 people. how much do I need of each ingredient for my neighborhood to share
✨Answer:✨
10 quarts of apple cider, 15 teaspoons of cinnamon, 5 pints of lemon lime soda.
✨Step-by-step explanation:✨
40 people in your neighborhood ÷ 8 people (how much 1 recipe can feed) = 5 punches so you can feed 40 people
2 quarts of apple cider x 5 = 10 quarts of apple cider
3 teaspoons of cinnamon x 5 = 15 teaspoons of cinnamon
1 pint of lemon-lime soda x 5 = 5 pints of lemon-lime soda
!!20 points!!Choose the answer that best represents the situation described below.
John takes a job after school to earn money to buy a surfboard. He knows
that the more hours he works, the more money he will make.
A. The amount of money John makes is a function of the number of
hours he works.
B. The number of hours John works is a function of the amount of
money he makes
C. John's job is a function of his interest in surfing.
Answer:
B
Step-by-step explanation:
Answer:
A. The amount of money he makes is a function
-10x + 35-37 OR 3x – 10 <-25
Answer:
3x – 10 < -25 → x < -5
-10x + 35-37 → -10x - 2
Plz mark brainliest:)
What’s the total amount Janet has to repay after three years?
Answer:
What are the number to find the amount I thin you're missing information
Step-by-step explanation:
Answer:
2,315.25
Step-by-step explanation:
A medical school claims that more than 28% of its students plan to go into general practice. To test this claim, a random sample of 130 of the school's students is selected. Of these, 32% of them plan to go into general practice. Find the P-value for this test of the school's claim.
Answer:
The p-value of the test is 0.1314.
Step-by-step explanation:
In this case we need to test the claim made by a medical school that more than 28% of its students plan to go into general practice.
The hypothesis can be defined as follows:
H₀: The proportion of students planning to go to general practice is 28%, i.e. p = 0.28.
Hₐ: The proportion of students planning to go to general practice is more than 28%, i.e. p > 0.28.
The information provided is:
n = 130
[tex]\hat p=0.32[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]=\frac{0.32-0.28}{\sqrt{\frac{0.28(1-0.28)}{130}}}\\\\=1.12[/tex]
The test statistic value is 1.12.
Compute the p-value as follows:
[tex]p-value=P(Z>1.12)\\[/tex]
[tex]=1-P(Z<1.12)\\\\=1-0.86864\\\\=0.13136\\\\\approx 0.1314[/tex]
The p-value of the test is 0.1314.
*Use the z-table.
The amount of money deposited into an account in a given year is multiplied by a growth factor of x = 1 + r. $800 is
deposited at the start of the first year; an additional $300 is deposited at the start of the next year, and $625 at the start of
the following year. Write an expression that represents the amount of money in the account at the end of the three years.
Answer:
800(1 + r)³ + 300(1 + r)² + 625(1 + r)
Step-by-step explanation:
At the beginning of the first year $800 is deposited.
At the end of the first year the amount of money in account = $800 × growth factor = 800(1 + r)
At the beginning of the second year, $300 is deposited, the money in account = 800(1 + r) + 300
At the end of the second year the amount of money in account is multiplied by growth factor. = [800(1 + r) + 300] × 1 + r = 800(1 + r)² + 300(1 + r)
At the beginning of the third year, $625 is deposited, the money in account = 800(1 + r)² + 300(1 + r) + 625
At the end of third year the money = [800(1 + r)² + 300(1 + r) + 625] × 1 + r = 800(1 + r)³ + 300(1 + r)² + 625(1 + r)