approximately 3.6 milliliters of medication would be needed for this prescription.
To calculate the total milliliters of medication needed for this prescription, we will use the formula dosage × frequency × day supply.
In this case, the dosage is 2 drops per ear, the frequency is twice a day, and the day supply is 9 days.
First, let's find out how many drops are needed per day:
2 drops/ear × 2 ears = 4 drops
Since the frequency is twice a day, multiply this number by 2:
4 drops × 2 = 8 drops per day
Now, multiply the number of drops per day by the day supply (9 days):
8 drops/day × 9 days = 72 drops
Typically, 1 drop is approximately 0.05 millilitres. To find out how many millilitres of medication are needed, multiply the total number of drops by the volume of one drop:
72 drops × 0.05 mL/drop = 3.6 mL
So, approximately 3.6 millilitres of medication would be needed for this prescription.
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Approximately 1.8 milliliters of medication would be needed for this prescription.
To calculate how many milliliters of medication would be needed for this prescription, we need to use the following formula:
dosage × frequency × day supply.
The dosage is 2 drops, the frequency is twice a day, and the day supply is 9 days.
First, we need to convert drops to milliliters.
One drop is equal to approximately 0.05 milliliters.
2 drops would be equal to 0.1 milliliters.
Next, we can plug in the values into the formula:
[tex]0.1 milliliters/drop \times 2 drops/twice a day \times 9 days = 1.8 milliliters. [/tex]
The patient will be using exactly 2 drops in each ear for each dose, and that there will be no waste or spillage of the medication.
To determine how many milliliters of medicine would be required for this prescription:
dose frequency day supply.
The recommended dosage is 2 drops, twice day, with a 9-day supply.
We must first convert droplets to milliliters.
A drop is around 0.05 milliliters in volume. As a result, 2 drops are equivalent to 0.1 milliliters.
The values may then be entered into the formula as follows:
0.1 milliliters each drop times twice daily for nine days equals 1.8 milliliters.
As a result, this prescription would require about 1.8 milliliters of medicine.
It's crucial to note that this estimate is predicated on the patient applying precisely 2 drops to each ear for each dose.
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What is the equation of the line in slope-intercept form?
Answer:
y = 3/5x + 3
Step-by-step explanation:
points on the graph
(-5,0) and (0,3)
0- 3 = -3
-5 - 0 = -5
-3/-5= 3/5
y = 3/5x + B
use a point from the graph
3 = 3/5 x 0 + B
3 = 0 + B
3 -0 = 3
3 = B
check answer
(-5,0)
Y = 3/5 x -5 + 3
Y = -15/3 + 3
Y = -3 + 3
Y = 0
Making the equation true y = 3/5x + 3
1. In Design 2, what is the radius of the larger
grassy area?
Answer: 5 m
Step-by-step explanation:
A radius is half of the diameter which is the black line. Hope this helps!
Answer:
The radius of the larger grass area is 5m
Step-by-step explanation:
d=2r
r=d/2
r=10/2
r=5m
I NEED HELP, LIKE NOW!\
What is -27 radical 72
Step-by-step explanation:
-27 [tex]\sqrt{72}[/tex] = -27 [tex]\sqrt{36*2}[/tex] = -27 (6) [tex]\sqrt{2}[/tex] = - 162 [tex]\sqrt{2}[/tex] = - 229.1
a customer spends 21.50 on cupcakes and muffins. the numbet of muffins purchased is 1 few than number of cupcakes. each cupcake costs $2, and each muffin cost $1.25 create a system of equations
Answer: Let's use the following variables to represent the unknown quantities in the problem:
x: the number of cupcakes purchased
y: the number of muffins purchased
From the problem statement, we can write two equations:
The total amount spent on cupcakes and muffins is $21.50:
2x + 1.25y = 21.50
The number of muffins purchased is one fewer than the number of cupcakes:
y = x - 1
These two equations form a system of equations that can be solved simultaneously to find the values of x and y.
Substituting equation 2 into equation 1, we get:
2x + 1.25(x - 1) = 21.50
Simplifying and solving for x:
2x + 1.25x - 1.25 = 21.50
3.25x = 22.75
x = 7
Now that we know x, we can use equation 2 to find y:
y = x - 1 = 7 - 1 = 6
Therefore, the customer purchased 7 cupcakes and 6 muffins, spending a total of $21.50.
Step-by-step explanation:
A large rectangular prism is 5 feet long, 3 feet wide, and 4 feet tall. A small rectangular prism is 2.5 feet long, 1.5 feet wide, and 2 feet tall.
How many small prisms would it take to fill the large prism?
Write your answer as a whole number or decimal. Do not round.
The answer of the given question based on the rectangular prism is , , it would take 8 small rectangular prisms to fill the large rectangular prism.
What is Rectangular prism?A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional solid object that has six rectangular faces, with opposite faces being congruent and parallel. It is a special case of a parallelepiped in which all angles are right angles and all six faces are rectangles.
To find how many small rectangular prisms will fit inside the large rectangular prism, we need to calculate the volume of each prism and then divide the volume of the large prism by the volume of the small prism.
The volume of the large prism is:
V_large = length × width × height = 5 ft × 3 ft × 4 ft = 60 feet³
The volume of the small prism is:
V_small = length × width × height = 2.5 ft × 1.5 ft × 2 ft = 7.5 feet³
Dividing the volume of the large prism by the volume of the small prism, we get:
number of small prisms = V_large / V_small = 60 ft³ / 7.5 ft³ = 8
Therefore, it would take 8 small rectangular prisms to fill the large rectangular prism.
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please help someone..50 points
Answer:
We can find the sum of the interior angles of any polygon using the formula
[tex]S_{n}=180(n-2)[/tex], where n is the number of sides.
Because each of these polygons have four sides, we can use one formula where our n is 4 to find the sum of the interior angles:
[tex]S_{4}=180(4-2)\\ S_{4}=180*2\\ S_{4}=360[/tex]
Thus, for all four problems, we can set the four angles equal in the four polygons equal to 360 and solve for the variables
(15) *Note the right angle symbol in this problem which always equals 90°
[tex]84+90+(2x+118)+(2x+68)=360\\174+2x+118+2x+68=360\\360+4x=360\\4x=0\\x=0[/tex]
Now, to find the measure of <Y, we simply plug in 0 for x in its equation
m<Y = 2(0) + 118 = 118°
(16):
[tex]82+105+(8x+11)+10x=360\\187+8x+11+10x=360\\198+18x=360\\18x=162\\x=9[/tex]
To find the measure of <F, we plug in 9 for x in its equation
m<F = 10(9) = 90°
(17):
[tex]95+95+(10x-5)+(8x+13)=360\\190+10x-5+8x+13=360\\198+18x=360\\18x=162\\x=9[/tex]
To find the measure of <M, we plug in 9 for x in its equation
m<M = 10(9) - 5 = 85°
(18):
[tex](14x-7)+(11x-2)+93+76=360\\14x-7+11x-2+169=360\\25x+160=360\\25x=200\\x=8[/tex]
To find the measure of <M, we plug in 8 for x in its equation
m<M = 11(8) - 2 = 86°
an agency has specialists who analyze the frequency of letters of the alphabet in an attempt to decipher intercepted messages. suppose a particular letter is used at a rate of 6.6%. what is the mean number of times this letter will be found on a typical page of 2650 characters? 174.9 what is the standard deviation for the number of times this letter will be found on a typical page of 2650 characters ? round your answer to 1 decimal place. in an intercepted message, a page of 2650 characters is found to have the letter occurring192 times. would you consider this unusual?
Standard deviation normal distribution table or calculator to determine the probability of observing a z-score of 1.3 or higher.
The probability is approximately 0.0968, or 9.68%.
To determine the mean number of times the letter appears on a page, we can multiply the probability of the letter appearing (0.066) by the total number of characters on the page (2650):
[tex]Mean = 0.066 \times 2650 = 174.9[/tex]
To calculate the standard deviation, we can use the formula:
Standard deviation = [tex]\sqrt(n \times p \times q)[/tex]
n is the sample size (2650), p is the probability of success (0.066), and q is the probability of failure [tex](1 - p = 0.934)[/tex].
Standard deviation = [tex]sqrt(2650 \times 0.066 \times 0.934) = 13.2[/tex] (rounded to 1 decimal place)
Determine whether 192 occurrences of the letter on a page is unusual, we can use the z-score formula:
z = (x - mean) / standard deviation
x is the observed number of occurrences (192), mean is the expected number of occurrences (174.9), and standard deviation is the standard deviation we just calculated (13.2).
[tex]z = (192 - 174.9) / 13.2 = 1.3[/tex]
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pamela registered her new phone number on the do not call registry. how long will her number remain on the list?
If Pamela has registered for the first time, it will remain on the Do Not Call list permanently. If she has re-registered, it will remain on the list for an additional five years from the date of re-registration.
How long do phone numbers remain on the Do Not Call Registry?The length of time that Pamela's phone number will remain on the National Do Not Call Registry depends on whether she registered her number on the Do Not Call Registry for the first time or if she has re-registered her number after it has already been on the list for a while.
If Pamela registered her phone number for the first time, it will be added to the Do Not Call Registry within 31 days of her registration date. Her phone number will remain on the list permanently, unless she requests to remove it or the number is disconnected.
If Pamela has re-registered her phone number after it has already been on the list for a while, her number's registration will be extended for another five years from the date she re-registered it.
Therefore, if Pamela registered her phone number for the first time, it will remain on the list permanently. If she has re-registered her number, it will remain on the list for an additional five years from the date of re-registration.
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2. when conducting a hypothesis test, the hypothesis that illustrates what we really think is going on in the population is called the hypothesis. an. analytical b. hypothetical c. null d. theoretical e. alternative
minimum of [tex]\frac{a}{b+c} + \frac{b}{c+a} + \sqrt{} \frac{2c}{a+b}[/tex]
The minimum of the given expression can be found to be 3 x ∛(√2).
How to find the minimum ?Use these inequalities to find the minimum of the given expression:
(a / (b + c)) + (b / (c + a)) + √(2c / (a + b)) ≥ (a / (√(bc))) + (b / (√(ac))) + √(2c / (√(ab)))
Now, simplify the expression:
(a / (√(bc))) + (b / (√(ac))) + √(2c / (√(ab))) = (√(a²/bc)) + (√(b²/ac)) + (√(2c²/ab))
Apply AM-GM inequality to the terms (√(a²/bc)), (√(b²/ac)), and (√(2c²/ab)):
AM = [(√(a²/bc)) + (√(b²/ac)) + (√(2c²/ab))] / 3 ≥ GM = ∛[(√(a²/bc)) * (√(b²/ac)) * (√(2c²/ab))]
The geometric mean (GM) is:
GM = ∛[(√(a²/bc)) x (√(b²/ac)) x (√(2c²/ab))]
GM = ∛(√(2a²b²c² / a²b²c²))
GM = ∛(√2)
Thus, the minimum of the given expression is:
= 3 x ∛(√2)
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The area of a rectangle is 8811m if the width of the garden is 89 m what’s the length
The length of the garden is 99 m.
What’s the length?The formula for the area of a rectangle is:
Area = Length x Width
We are given that the area of the rectangle is 8811 [tex]m^{2}[/tex] and the width is 89 m. Substituting these values into the formula, we get:
8811 [tex]m^{2}[/tex] = Length x 89 m
To solve for the length, we can divide both sides of the equation by 89 m:
Length = 8811 [tex]m^{2}[/tex] / 89 m
Simplifying, we get:
Length = 99 m
Therefore, the length of the garden is 99 m.
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assume that arrivals occur according to a poisson process with an average of seven per hour. what is the probability that exactly two customers arrive in the two-hour period of time between a 2:00 p.m. and 4:00 p.m. (one continuous two-hour period)? b 1:00 p.m. and 2:00 p.m. or between 3:00 p.m. and 4:00 p.m. (two separate one-hour periods that total two hours)?
a) The probability that exactly two customers arrive between 2:00 p.m. and 4:00 p.m. is 0.0915 (or approximately 9.15%).
b) The probability of at least one customer arriving between 1:00 p.m. and 2:00 p.m. or between 3:00 p.m. and 4:00 p.m. is approximately 0.99999917.
For a Poisson process, the number of arrivals in a fixed time interval follows a Poisson distribution.
Let's denote the number of arrivals in a two-hour period as X.
Since the average number of arrivals per hour is 7, the average number of arrivals in a two-hour period is 14.
Therefore, we have λ = 14.
a) Probability of exactly 2 customers arriving between 2:00 p.m. and 4:00 p.m.:
Using the Poisson distribution formula, the probability of X arrivals in a two-hour period is:
[tex]P(X = x) = (e^{-\lambda} * \lambda^x) / x![/tex]
So, for X = 2, we have:
[tex]P(X = 2) = (e^{-14} * 14^2) / 2! = 0.0915[/tex] (rounded to four decimal places)
Therefore, the probability that exactly two customers arrive between 2:00 p.m. and 4:00 p.m. is 0.0915 (or approximately 9.15%).
b) Probability of at least one customer arriving between 1:00 p.m. and 2:00 p.m. or between 3:00 p.m. and 4:00 p.m.:
We can approach this problem by using the complementary probability. The complementary probability of at least one customer arriving in a two-hour period is the probability of no customers arriving in that period. Since the arrival rate is the same for each hour, we can divide the two-hour period into two one-hour periods and use the Poisson distribution formula for each period separately.
The probability of no customers arriving in a one-hour period with λ = 7 is:
[tex]P(X = 0) = (e^{-7}* 7^0) / 0! = 0.000911[/tex]
The probability of no customers arriving in a two-hour period is the product of the probabilities for each one-hour period:
P(no customers in two-hour period) = P(X = 0) * P(X = 0) = 0.000911 * 0.000911 = 8.30e-7
The complementary probability of at least one customer arriving in a two-hour period is:
P(at least one customer in two-hour period) = 1 - P(no customers in two-hour period) = 1 - 8.30e-7 = 0.99999917 (rounded to eight decimal places).
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profitability empirical rule with this dataset? why or why not. no, the measures the proportion of a movies budget recovered. a profitability less than 1 the movie did not make enough money to cover the budget, while a profitability greater than means means it made a profit. a boxplot of the profitability ratings of 136 movies that came out in 2011 is shown below. (the largest outlier is the movie 1 insidi high gross revenue.)
The empirical rule does not apply to this dataset because the empirical rule is used to describe data that is normally distributed.
The empirical rule is a statistical rule that states that for a normal distribution.
Approximately 68% of the data will fall within one standard deviation of the mean, 95% of the data will fall within two standard deviations of the mean, and 99.7% of the data will fall within three standard deviations of the mean.
The dataset is normally distributedThe dataset is normally distributed, determine if the empirical rule appliesThe empirical rule does not apply, identify an alternative method to describe the datasetThe empirical rule does not apply to this dataset because the empirical rule is used to describe data that is normally distributed.
This dataset does not appear to be normally distributed, as evidenced by the large outlier (1 Insidi High Gross Revenue).
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Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equivalent exponential expression for this problem is given as follows:
A. 4^15 x 5^10.
How to simplify the exponential expression?The exponential expression in the context of this problem is defined as follows:
[tex]\left(\frac{4^3}{5^{-2}}\right)^5[/tex]
To simplify the expression, we must first apply the power of power rule, which means that when one exponential expression is elevated to an exponent, we keep the base and multiply the exponents, hence:
4^(15)/5^(-10)
The negative exponent at the denominator means that the expression can be moved to the numerator with a positive exponent, hence the simplified expression is given as follows:
4^15 x 5^10.
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help please this is due tonight and im struggling
Thus, the value of x for the given angle of cyclic quadrilateral is found as the x = 50.
Explain about the cyclic quadrilateral:When you hear the word "cyclic," think of the two round wheels on you bicycle. A quadrilateral is a figure with four sides. The result is a cyclic quadrilateral, which is defined as any four-sided shape (quadrilateral) its four vertices (corners) are located on a circle.
A cyclic quadrilateral's opposite angles add up to 180 degrees, making them supplementary to one another.
Given data:
∠T = x + 60°∠R = x + 20°Using the property of cyclic quadrilateral: sum of opposite angle are 180 degrees.
∠T + ∠R = 180
x + 60 + x + 20 = 180
2x + 80 = 180
2x = 180 - 80
2x = 100
x = 50
Thus, the value of x for the given angle of cyclic quadrilateral is found as the x = 50.
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Answer every question. Pick one option for each question. Show your work.
1. Over one week, a snack booth at a fair sold 362 cans of soft drinks for $1.75 each and
221 hot dogs for $2.35 each. Which calculation will give the total sales of soft drinks and
hot dogs?
A. 362(2.35) + 221(1.75)
B. 221(2.35) + 362(2.35)
C. 221(1.75) + 362(1.75)
D. 362(1.75) + 221(2.35)
At Robinson’s Steakhouse, you can choose from 2 steaks cooked to your liking and have the choice of 2 different sides. What is the probability that a customer will choose a Ribeye, well done or medium with corn?
A- 1/3
B- 1/12
C- 2/7
D- 1/6
the probability of a customer choosing a Ribeye, well done or medium with corn is [tex]1[/tex] out of [tex]12[/tex], which is answer B [tex]- 1/12[/tex] Thus, option B is correct.
What is the probability?There are two possible steaks that a customer can choose from, and for each steak, there are three possible ways to cook it: rare, medium, or well-done. Additionally, there are two possible sides to choose from: corn or some other option.
Thus, there are a total of [tex]2 \times 3 \times 2 = 12[/tex] possible meal combinations that a customer can choose from.
Out of these 12 possibilities, there is only one way to get a Ribeye cooked well-done or medium with corn, since there is only one Ribeye option on the menu.
Therefore, the probability of a customer choosing a Ribeye, well done or medium with corn is 1 out of 12, which is answer B- 1/12
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Simplify. 11 3/4-8 1/2
Therefore, 11 3/4 - 8 1/2 = 13/4, or 3 1/4 as a mixed number.
What is mixed number?A mixed number is a type of number that represents a whole number and a fraction together. It is written in the form of a whole number followed by a fraction, such as 3 1/2. The whole number represents the number of whole units, while the fraction represents the part of a unit.
For example, the mixed number 3 1/2 can be interpreted as three whole units and one half of a unit. Another example of a mixed number is 2 3/4, which represents two whole units and three-quarters of a unit. Mixed numbers are commonly used in everyday life, such as in cooking and measuring, and in mathematical calculations involving fractions.
To subtract mixed numbers like these, we need to convert them to improper fractions first:
[tex]11 3/4 = (4 * 11 + 3)/4 = 47/4[/tex]
[tex]8 1/2 = (2 * 8 + 1)/2 = 17/2[/tex]
Now, we can subtract the fractions:
[tex]47/4 - 17/2[/tex]
To subtract these fractions, we need to find a common denominator. The least common multiple of 4 and 2 is 4 × 2 = 8. We can convert both fractions to have a denominator of 8:
[tex]47/4 = (47/4) * (2/2) = 94/8[/tex]
[tex]17/2 = (17/2) * (4/4) = 68/8[/tex]
Now, we can subtract the numerators:
[tex]94/8 - 68/8 = 26/8[/tex]
Finally, we can simplify the result by dividing both numerator and denominator by their greatest common factor, which is 2:
[tex]26/8 = (2 * 13)/(2 * 4) = 13/4[/tex]
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HURRY 40 POINTS!!
What is the surface area of this right rectangular prism?
Enter your answer as a mixed number in simplest form by filling in the boxes.
ft²
The surface area of the rectangular prism is 29 2/3 ft²
How to determine the surface areaThe formula for calculating the surface area of a rectangular prism is expressed as;
SA = 2(wl + hw + hl)
Where the parameters are;
SA is the surface areaw is the width of the prismh is the height of the prisml is the length of the prismFrom the information given, we have that;
Wl = 3 × 5/2
multiply the values
wl = 15/2
hw = 4/3 × 3
hw = 4
hl = 4/3 × 5/2 = 20/6 = 10/3
Substitute the values
Surface area = 2(4 + 10/3 + 15/2)
Surface area = 2(24 + 20 + 45/6)
Surface area = 2(89)/6
Surface area = 89/3 = 29 2/3 ft²
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Divide and write your answer in standard notation to the nearest whole number with commas.
Answer:
The answer is 1×10⁶ to the nearest whole number
Step-by-step explanation:
7.6×10⁰/5.4×10‐⁶
7.6×10^(0-(-6)/5.4
7.6×10^(0+6)/5.4
7.6×10⁶/5.4
=1×10⁶ to the nearest whole number
the list shows the weight in pounds of 6 puppies at birth. 3, 1.6, 2.8, 2.5, 1.7, 2.8 what is the mean absolute deviation of these numbers?
the dimensions of noah’s ark were reported as 3.0 × 102 cubits by 5.0 × 101 cubits. express this size in units of feet (1 cubit = 1.5 ft)
The dimensions of Noah's Ark in feet are 450 feet by 75 feet if the dimensions of Noah's Ark is 3.0 × 102 cubits by 5.0 × 101 cubits.
Noah's Ark is said to have dimensions of 3.0 × 10^2 cubits by 5.0 × 10^1 cubits. To convert these measurements to feet, we can use the conversion factor of 1 cubit = 1.5 feet.
First, we need to convert the length of the ark from cubits to feet. To do this, we multiply the length of the ark in cubits (3.0 × 10^2) by the conversion factor of 1.5 feet/cubit. This gives us a length of
3.0 × 10^2 cubits x 1.5 feet/cubit = 450 feet
Similarly, we can convert the width of the ark from cubits to feet by multiplying the width in cubits (5.0 × 10^1) by the conversion factor of 1.5 feet/cubit. This gives us a width of:
5.0 × 10^1 cubits x 1.5 feet/cubit = 75 feet
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Footy. You play in an inter- school footy competition. Curiously, in one of the rounds the total number of points scored by each team is the same, so that all games are not only drawn, but also have the same final score. In that same round your team scored 1/13th of all goals and 1/15th of all behinds. How many teams play in the competition?
There are 195 games played in the competition.
Let the total number of points scored in each game be represented by the variable "x". Since a goal is worth 6 points and a behind is worth 1 point, we can write an equation in terms of "x":
6a/13 + b/15 = x
where "a" is the total number of goals scored and "b" is the total number of behinds scored by your team in the round.
Since all games have the same final score, we know that the total number of points scored in the round is equal to the number of games played times the final score:
x * number of games = total points scored
We also know that the total number of points scored in the round is equal to the total number of goals scored (by all teams) times 6 plus the total number of behinds scored (by all teams):
x * number of games = 6 * total number of goals + total number of behinds
Substituting the first equation into the second equation, we get:
(6a/13 + b/15) * number of games = 6 * total number of goals + total number of behinds
Simplifying this equation and solving for "number of games", we get:
number of games = 1170/(2a/13 + b/15)
Since the number of games must be an integer, we can see that 2a/13 + b/15 must be a divisor of 1170. The possible values of 2a/13 + b/15 are:
2/13 + 78/15 = 72/5
4/13 + 72/15 = 56/5
6/13 + 66/15 = 44/5
8/13 + 60/15 = 32/5
The only divisor of 1170 among these values is 72/5, which corresponds to a = 26 and b = 312. Therefore, the number of games played in the round is:
number of games = 1170 / [(2a/13) + (b/15)]
= 1170 / [(2*26/13) + (312/15)]
= 195
As a result, 195 games have been played in the competition.
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Aidan wants to find the mass of a
bowling ball.Which unit should he use
Answer:
Aiden should use the Standard unit of Mass
Kilogram.
Step-by-step explanation:
He can use other unit also like gram, pound, ounce, tone etc
Which of the following best describes the expression 9(x + 7)? (20 brainly points)
A: The sum of constant factors 9 and x + 7
B: The product of constant factors 9 and x + 7
C: The product of a constant factor 9 and a 2-term factor x + 7
D: The sum of a constant factor 9 and a 2-term factor x + 7
The statement that express 9(x + 7) is product of constant factors 9 and x + 7. The Option B.
What does the expression 9(x + 7) represent?The expression 9(x + 7) represents the product of constant factors 9 and x + 7. To evaluate the expression, you would distribute the 9 to both terms inside the parentheses, resulting in 9x + 63.
This expression can also be written as a 2-term factor of 9 and x + 7. It is important to understand the different terms and factors in an expression to simplify and solve equations.
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what is the degree of the polynomial 8 x to the power of 5 plus 4 x cubed minus 5 x squared minus 9 ?
Out of these powers, the highest is 5.
Therefore, the degree of the polynomial is 5.
The degree of a polynomial is the highest power of the variable in the polynomial. In the given polynomial, the highest power of x is 5,
so the degree of the polynomial is 5.
The degree of a polynomial is the highest power of the variable (x) in the expression.
In the polynomial you provided:
[tex]8x^5 + 4x^3 - 5x^2 - 9[/tex]
Let's identify the terms and their respective powers of x:
[tex]8x^5[/tex]has a power of 5.
[tex]4x^3[/tex]has a power of 3.
[tex]-5x^2[/tex] has a power of 2.
-9 is a constant term, so there is no power of x.
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answer these questions
Answer:
a) model a: 50/hr
model b: 40/hr
b) model a
Step-by-step explanation:
b) since the money raised started at 0, the rate of change can be found by calculating 400/8
a bag contains 7 red balls, 9 blue balls, and 4 yellow balls. what is the minimum number of balls that must be selected to ensure that 4 balls of the same color are chosen?
The number of balls that must be selected to ensure that 4 balls of the same color are chosen is 10 balls.
To ensure that 4 balls of the same color are chosen, we must consider the worst-case scenario where we select 3 balls of each color before selecting the fourth ball. Therefore, the minimum number of balls that must be selected is:
= 3 (red balls) + 3 (blue balls) + 3 (yellow balls) + 1 (any color)
= 10 balls.
Therefore, we must select at least 10 balls to ensure that 4 balls of the same color are chosen.
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what is the maximum number of consecutive odd positive integers that can be added together before the sum exceeds ?
The maximum number of consecutive odd positive integers that can be added together before the sum exceeds 401 is 11.
Let's assume the first odd integer is x. Then, the sum of the next n consecutive odd integers would be given by:
x + (x+2) + (x+4) + ... + (x+2n-2) = nx + 2(1+2+...+n-1) = nx + n(n-1)
We want to find the largest n such that the sum is less than or equal to 401:
nx + n(n-1) ≤ 401
Since the integers are positive and odd, we can start with x=1 and then try increasing values of n until we find the largest value that satisfies the inequality:
n + n(n-1) ≤ 401
n² - n - 401 ≤ 0
Using the quadratic formula, we find that the solutions are:
n = (1 ± √(1+1604))/2
n ≈ -31.77 or n ≈ 32.77
We discard the negative solution and round down to the nearest integer, giving us n = 11. Therefore, the maximum number of consecutive odd positive integers that can be added together before the sum exceeds 401 is 11.
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Complete Question:
what is the maximum number of consecutive odd positive integers that can be added together before the sum exceeds 401?
shawna is going out of town for the day, so she asks a friend to watch her 3 dogs. she wants to leave 12 of a pound of food for each dog. if a can of dog food has 0.75 pounds of food, how many cans should shawna leave?write your answer as a whole number, decimal, fraction, or mixed number. simplify any fractions.
Shawna wants to make sure her three dogs are fed and cared for when she leaves town for the day. She intends to give each of her dogs 12 ounces of food to achieve this. She must therefore leave a total of 36 ounces of food (3 dogs x 12 ounces of food per dog). 36 ounces are equivalent to 2.25 pounds of food because 16 ounces make up one pound.
There are 0.75 pounds of food in each can of dog food. We must divide 2.25 by 0.75 to find the quantity of dog food Shawna should leave for her companion. 3 dog food cans are the end outcome.Shawna ought to give her buddy three cans of dog food so that she can feed her dogs.
Shawna may make sure her dogs have enough food and are well cared for while she is away by leaving adequate food for them. Shawna may put any fears or concerns about her pets' welfare to rest by leaving ample food and clear directions.
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