The pharmacist utilized a 10% percentage mixture, according to the solution, in a quantity of 2 ounces.
The formula for calculating percentages?To calculate the percentage, we must first determine the value's ratio to the sum of its parts. We must then multiply the result by 100.
Since when do we utilize percentages?Comparing two quantities while rebasing the second quantity to 100 is the most fundamental use of percentages. If the proportion of employed women who are women is of relevance to us, let's say.
According to the given information:We are aware that m = CV, where
V = volume and c = concentration
Let
M is equal to 6.5%, m' is equal to 7.9%, and m = 3.7%.
It is known that m + m' = M.
where cv + c'v' = CV
Since cv + c'v' = CV, the formula is:
c = 3.7% concentration = 0.037;
v = volume of 3.7% = 1 ounce;
c = 7.9% concentration = 0.079;
v' = volume of 7.9%;
C = 6.5% concentration = 0.065;
and V = volume of 6.5% = v + v'
We obtain by altering the values of the variables in the equation
3.7% × 1/3.7% + 7.9 %v' = 6.5%(v + v')
3.7% + 7.9 %v' = 6.5%(1 + v')
3.7% + 7.9 %v' = 6.5% + 6.5%v'
7.9%v' - 6.5%v' = 6.5% - 3.7%
1.4%v' = 2.8%
v' = 2.8%/1.4%
2 ounces are v'.
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For the given logistic function,
21
f(x) = 1 + 2(0.94)*
The y-intercept = (0, [?])
For x ≥ 0, the horizontal asymptote is y =
Answer:
x) = 1 + 2(0.94)*
The y-intercept = (0, [?])
For x ≥ 0, the horizontal as
Find the measure of x.
14
X
48
x = [?]
Answer:
18.84
Step-by-step explanation:
x is the hypotenuse of the triangle.
For the 48° angle, 14 is the opposite leg.
The trigonometric ratio that relates the opposite leg to the hypotenuse is the sine.
sin 48° = opp/hyp
sin 48° = 14/x
x × sin 48° = 14
x = 14/sin 48°
x = 18.84
5. Michael has of 3 boxes of a dozen doughnuts for his class of 30 students. Does
he have enough doughnuts for each student to get a whole doughnut? Why or
why not?
Yes Michael has 36 doughnuts 6 extra
3*12=36
36>30
get the standard form and slope-intercept form
1. 5x - 6y - 12 = 0
2. y - 2 = 2/3 (x+3)
3. y -9 = 1/7 (x+4)
4. y-8 = - 7/2 (x - 2)
Answer: To obtain the standard form of a linear equation, we want to rearrange the equation in the form Ax + By = C. Here are the standard forms of the given equations:
5x - 6y = 12
3y - 2x - 6 = 0
7x + y - 63 = 0
14x - y + 16 = 0
To obtain the slope-intercept form of a linear equation, we want to rearrange the equation in the form y = mx + b, where m is the slope and b is the y-intercept. Here are the slope-intercept forms of the given equations:
There is no y-intercept, so this equation does not have a slope-intercept form.
y = (2/3)x + 2
y = (1/7)x + 9
y = (-7/2)x + 8
Step-by-step explanation:
The temperature of the water in a hot water tank is recorded at 15 minute intervals after the heater is switched on. \begin{matrix} \text{Time (x minutes)} & \text{15} & \text{30} & \text{45} & \text{60} & \text{75} & \text{90}\\ \text{Temperature} (y ^\circ C) & \text{20} & \text{30} & \text{40} & \text{50} & \text{60} & \text{70}\\ \end{matrix} Time (x minutes) Temperature(y ∘ C) 15 20 30 30 45 40 60 50 75 60 90 70 a. Plot a graph of these data on your GDC. b. Find the linear model, T(x), for the temperature of the liquid with respect to time. c. Find the temperature of the water after 85 minutes.
Answer: a. Plotting a graph of the data on a graph paper, you can represent the time on the x-axis and the temperature on the y-axis. And plot the given points (15,20), (30,30), (45,40), (60,50), (75,60), (90,70) as ordered pairs on the graph. This will give you a line graph, showing the temperature increasing over time.
b. To find the linear model, T(x), for the temperature of the liquid with respect to time, you can use the slope-intercept form, y = mx + b, where y is the temperature, x is the time, m is the slope and b is the y-intercept. Using two of the given points, you can find the slope of the line by calculating the change in y over the change in x,
m = (y2 - y1) / (x2 - x1).
where x1,y1 and x2,y2 are two distinct points on the graph.
Once you have the slope, you can use one of the points to find the y-intercept, by substituting the point's coordinates into the slope-intercept form equation and solving for b.
Once you have the slope and y-intercept, you can write the linear model as T(x) = mx + b
c. To find the temperature of the water after 85 minutes, you can substitute the value of x = 85 into the linear model equation that you found in the previous step to get the corresponding value of y (temperature).
Please keep in mind that the temperature and time value here are random and are not based on any real-life scenario, and they were provided to show you the concept of linear model.
Step-by-step explanation:
Can u please help.........................
The triangle ABC, along with it's image after the reflection x = -3, is given on the graph presented at the end of the answer.
How to obtain the image of the triangle?The coordinates for the original vertices of the triangle are given as follows:
A(-5, -6), B(-4, -3) and C(-3,-7).
The reflection line is given as follows:
x = -3.
The reflection lines is a vertical line, meaning that for the reflected triangle, the y-coordinate remains constant, while the x-coordinate means that the triangles will be on the same distance relative to the reflected line, however on the opposite direction.
Vertex A has a x-coordinate two units left of x = -3, hence the coordinates of the image will be two units right, hence:
A'(-3 + 2, -6) = (-1, -6).
Vertex B has a x-coordinate one unit left of x = -3, hence the coordinates of the image will be one unit right, hence:
B'(-3 + 1, -3) = B'(-2,-3).
Vertex C remains at the same position, as it has a x-coordinate of -3.
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A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 80.
Regression Equation:
Final Answer:
on solving the equation, we have therefore the value of x from the given equation comes out to be 13.5
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
equation given is 3(x+2)=7x-48
value of x
[tex]3(x+2)=7x-48\\ 3x+6=7x-48\\7x-48-3x-6=0\\ 4x-54=0\\ 4x=54\\ x=54/4\\ x=13.5\\[/tex]
value of x from the given equation comes out to be 13.5
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Tamara said the Distributive Property was used to write 21x + 56xy as an equivalent expression, 7(3x + 8y). Is she correct? Explain. And what is the correct expression.
Answer:
Yes, Tamara is correct that the Distributive Property was used to write 21x + 56xy as an equivalent expression, 7(3x + 8y).
The Distributive Property states that for any real numbers a, b, and c, we have:
a(b + c) = ab + ac
This property allows us to distribute a factor to each term within a set of parentheses.
In this case, Tamara used the Distributive Property to rewrite the expression 21x + 56xy as an equivalent expression. She did this by taking the factor of 7 and distributing it to each term within the parentheses:
7(3x + 8y) = (73x) + (78y) = 21x + 56xy
Therefore, the correct expression is 7(3x + 8y).
Step-by-step explanation:
you and three friends spent $35 on tickets at the movies. Write and solve an equantion to find the price p of one ticket
Answer:
35/4=8.75
Step-by-step explanation:
You and your 3 friends add up to 4 people so you do 35 divided by 4 and get 8.75
Answer:
Step-by-step explanation:
35/3 = p
p = 11.67 per person
Baldwin took a total of 35 quizzes over the course of 7 weeks. After attending 9 weeks of school this quarter how many quizzes will Baldwin have taken in total
The total number of quizzes in 9 weeks will be 45.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Baldwin took a total of 35 quizzes over the course of 7 weeks. After attending 9 weeks of school this quarter.
The number of quizzes in 9 weeks will be,
7 weeks = 35 quizz
1 week = 35 / 9 quizz
9 week = ( 35 x 7 ) / 9
9 weeks = 45 quizzes.
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Question 12(Multiple Choice Worth 4 points) (02.01 LC) Which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country? Simple random sampling, because the people in the sample are accessible and available Stratified sampling, because there are specific subgroups to investigate Systematic sampling, because of the ease in selecting every nth person Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement All the above sampling methods
The option 1 "Simple random sampling, because the people in the sample are accessible and available" is correct for the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country.
In the given question, we have to find which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country.
As we know that, you must carefully consider how you will choose a sample that is representative of the group as a whole if you want to make accurate conclusions from your data. It is known as a sampling method.
Every individual in the population has an equal chance of being chosen in a simple random sample. The entire population should be included in your sampling frame.
You might utilize instruments like random number generators or other methods that just rely on chance to carry out this kind of sampling.
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The complete question is:
Which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country?
(1) Simple random sampling, because the people in the sample are accessible and available
(2) Stratified sampling, because there are specific subgroups to investigate
(3) Systematic sampling, because of the ease in selecting every nth person
(4) Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement
(5) All the above sampling methods
Cars enter a car wash at a mean rate of 4 cars per half an hour. What is the probability that, in any hour, exactly 4 cars will enter the car wash? Round your answer to four decimal places.
The probability that exactly 4 cars will enter the car wash in an hour is 0.195
What is the probability that, in any hour, exactly 4 cars will enter the car wash?Generally, This is a Poisson process, where the mean number of cars entering the car wash is 4 cars per hour. The probability of exactly 4 cars entering in an hour is given by the Poisson probability mass function:
P(X = 4) = (e^(-4) * 4^4) / 4!
where e is approximately 2.71828, and 4! is
4 * 3 * 2 * 1 = 24.
Plugging in the values, we get:
P(X = 4) = (2.71828^(-4) * 4^4) / 24
P(X = 4) =0.195
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Ashley is selling handmade jewelry to earn money for camp. Bracelets sell for $7.62 and
necklaces sell for $15.67, and she needs to make at least $450 in revenue to cover the cost
of camp.
Write the inequality in standard form that describes this situation. Use the given numbers and
the following variables.
X
= the number of bracelets
V
= the number of necklaces
Equation for the sentence's inequality are $7.62 and necklaces are $15.67, which means that 7.62x + 15.67y >= 450.
what is inequality ?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
given
let X = the number of bracelets
let Y = the number of necklaces
The inequality equation = 7.62x + 15.67y >= 450
Equation for the sentence's inequality She needs to generate at least $450 in revenue because bracelets are $7.62 and necklaces are $15.67, which means that 7.62x + 15.67y >= 450.
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How do you find the difference between polynomials?
Some polynomials have specific names indicated by their prefix like monomial is a polynomial with exactly one term (“mono”—means one) binomial is a polynomial with exactly two terms (“bi”—means two) trinomial is a polynomial with exactly three terms (“tri”—means three).
What is polynomial?Some polynomials have unique names that are denoted by their prefix, such as monomial, which is a polynomial with precisely one term ("mono"—means one). A binomial polynomial has precisely two terms ("bi" indicates two). A trinomial is a polynomial with three terms ("tri"—three). A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x.
Here,
Some polynomials have unique names that are denoted by their prefix, such as monomial, which is a polynomial with precisely one term ("mono"—means one). A binomial polynomial has precisely two terms ("bi" indicates two). A trinomial is a polynomial with three terms ("tri"—three).
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What is a zero degree polynomial?
Any polynomial whose coefficients are all equal to zero is said to be a zero polynomial. As a result, the zero polynomial's degree is either undefined or set to -1.
The largest exponential power in a polynomial equation is called the polynomial's degree. Any polynomial's degree is determined only by its variables; coefficients are should be disregarded. The degree of a polynomial is given for an nth degree polynomial function with real coefficients and x as the variable with the largest power n, where n accepts whole integer values: p (x) = [tex]$$p(x)=a_n x^n+a_{n-1} x^{n-1}+a_{n-2} x^{n-2}+\ldots+a_1 x^1+a_0$$[/tex] in standard form is given as 'n'.
The largest power of a variable in a polynomial equation is the polynomial's degree. Only terms with variables are taken into consideration when calculating the degree of a polynomial function. The degree of a polynomial is determined by the variable term's maximum exponential power.
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The school surveillance camera was able to capture an image of the suspect. The image
shows the thief standing next to the gym door. In real life the door measures 84 inches but
is 14 cm in the image. If your suspect is 10.83 cm in the photo. How many inches tall are
they in real life? (Round to nearest whole inch.) Report the height in feet and inches. Ex.
"2 feet 5 inches"
Answer:
77.4 inches
6 feet 4 inches
Step-by-step explanation:
what persent of 14 is 10.83 is 77.35
what persent of 84 is 77.3571428571 is 92.08
what is 92.08% of 84 is 77.34
77.34 inches to feet is 6 feet and 4 inches
what is 7/8 x 40 equal.
what is -7 divided by 3/4 ?
Answer:
-9.333333333333333333333
Step-by-step explanation:
Answer-9 1/3
Step-by-step example
first, multiply 7x4 over 3 then next to that cross multiply that with 28 over 3
then simply that which’s gets to 28 over 3 then you get your answer 9.3333 then simplify that and you get 9 1/3
x= x 1/3 * x3 is it always sometimes or true
Answer:
Only sometimes true
Step-by-step explanation:
Now, I'm going to go out on a whim here, since your equation writing isn't the best, but I will assume that the equation is:
x = x/3 * 3x
Now, to simplify this equation, we will multiply both sides by 3, giving us:
3x = x * 3x
Then, simplify the left side:
3x = [tex]3x^{2}[/tex]
Divide by 3 gives us:
[tex]x = x^{2}[/tex]
Now, this is only true in two cases. When x is 1, and when x is 0. So, that equation is only sometimes true.
Hope this helped!
On Friday, Tyler came up with the expression t= -0.5(1-2h) to represent the temperature change. His math teacher came up with the expression t= 4(2h+2) - 7h - 8.5 for the same day. Are these expressions equivalent or not?
Answer:
no
Step-by-step explanation:
(look at photo)
iready level h compare functions quiz
Answer:
So I would say when the number of classes is lower fishing is less expensive and when the number of canoeing classes is lower it's less expensive
Step-by-step explanation:
You have to make sure to pay attention to the label and the points in the graph and the table
(ANSWER QUICKLY PLAESE) Mrs. Rubio collected $5 from
each student and $8.25 from each
chaperone for a field trip. She collected
a total of $176.25. If 5 chaperones went
on the field trip, how many students
went?
Answer:
27 students
Step-by-step explanation:
We know
1 student = $5
1 chaperone = $8.25
5 chaperon = $8.25 x 5 = $41.25
Let's solve
$176.25 - $41.25 = $135
So, we know that the total amount Mrs. Rubio collected from students is $135, then we take
135 / 5 = 27 students
So, 27 students went on the field trip.
Answer:
8.25 × 5 = 41.25
176.25 - 41.25 = 135
5 × x = 135
x = 27
Therefore, 27 students went.
Select all the inequalities that have the same graph as x<4
The inequalities that have the same graph as x<4 are:
x+6 < 105x < 20 x-2 > 2Hence, option(B) , (C) and (D) are correct.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
x +6 < 10 ⇒ x < 10-6 ⇒ x < 4
5x < 20 ⇒ x< 20/5 ⇒ x < 4.
x-2 > 2 ⇒ x < 2 + 2 ⇒ x < 4.
Hence, option(B) , (C) and (D) are correct.
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Your question is incomplete but most probably the question was:
Select all the inequalities that have the same graph as x <4.
A. x < 2.
B. x+6 < 10
C. 5x < 20
D. x-2 > 2
E. x <8
I NEED HELP!!
1ST QUESTION
a). 5 divided by 3/10
b.) 5 divided by 9/10
Answer:
a) 5 divided by 3/10
To solve this problem, we need to perform the division first, followed by the division. Dividing 5 by 3/10, we have:
5 / (3/10) = (5*10)/3 = 50/3
Simplifying, we have:
50/3 = 16 2/3
Therefore, the result of 5 divided by 3/10 is 16 2/3.
b) 5 divided by 9/10
To solve this problem, we need to perform the division first, followed by the division. Dividing 5 by 9/10, we have:
5 / (9/10) = (5*10)/9 = 50/9
Simplifying, we have:
50/9 = 5 5/9
Therefore, the result of 5 divided by 9/10 is 5 5/9.
Step-by-step explanation:
Answer:
a).5 divided by 3/10
= 16.6666666667
And,
b).5 divided by 9/10
=4.5
Jayden has been reading a 275275275-page book for English class. On average, he has read about 101010 pages in 151515 minutes (\text{min})(min)(, start text, m, i, n, end text, ). With a deadline looming, Jayden realizes that he won't finish in time unless he skims through the rest of the book. If he skims the book, he can cover 151515 pages in 10\,\text{min}10min10, start text, m, i, n, end text. If it takes Jayden 555 hours and 50\,\text{min}50min50, start text, m, i, n, end text to finish the book (reading and skimming combined), how many pages did Jayden have to skim through
Jayden had to skim through an amount of 75 pages, in the given word problem.
What is word problem?A word problem is a few sentences that describe a "real-life" scenario in which a problem must be solved using a mathematical calculation.
Word problems are regarded as an important part of the primary curriculum because they require children to apply their knowledge of various concepts to'real-life' scenarios.
Let S = no. of skimmed pages
Let R = no. of read pages
Then S + R = 275
So R = 275 - S
Reading rate = 15 min/10 pages
Skimming rate = 10 min/15 pages
Total time to finish book = 350 min
So,
(R)(Reading rate) + (S)(Skimming rate) = 350 minutes
Substituting the values:
(275-S)(15/10) + (S)(10/15)=350
Multiplying equation through by 30 yields:
12375 - 45S + 20S = 10500
Combine terms
1875=25S
S = 75
Thus, Jayden had to skim through an amount of 75 pages.
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help help help help help
Convert 1.45454... into a ratio of two integers. Enter your answer as a fraction in lowest terms.
Answer:
16/11
Step-by-step explanation:
Let x = 1.45454...
Multiply both sides by 100:
100x = 145.454...
Subtract both sides by x:
100x - x = 145.454... - x
100x - x = 145.454... - 1.45454...
99x = 144
x = 144/99
The term can be simplified in lowest as 16/11. Hence, 1.45454... can be written as the ratio of two integers of 16/11
RADIO FRIENDS Polly, Autumn, and Terry each have a two-way radio with a two-mile range. Their houses are located as shown, with Autumn and Polly being two miles apart. Which friends can talk with each other on the radio?
Autumn and Terry can talk because the distance between them is 2 miles
Polly and terry can not talk because the distance between them is 2.27 miles.
Polly and Autumn's distance can talk because the distance between them is 1.56 miles.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Autumn and Terry distance = 2 mile
Polly and Autumn's distance = x miles
Polly and terry's distance = y miles
Now,
Applying the Sin rule of a triangle.
2 / sin 59° = x / sin 42° = y / sin 79°
2 / 0.86 = x / 0.67 = y / 0.98
Find x.
2 / 0.86 = x / 0.67
x = 1.56
Find y.
2/0.86 = y / 0.98
y = 2.27
Now,
Polly and Autumn's distance is 1.56 miles.
This means they can talk.
Polly and terry's distance is 2.27 miles.
This means they can not talk.
Thus,
Polly and Autumn can talk.
Polly and terry can not talk.
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Terry had to travel outh 50 mile and then wet 25 mile. Find the hortet ditance between the tart and end point
Shortest distance between start and end point is 55.9 miles
According to given statement,
Terry had to travel south 50 miles and then west 25 miles.
We are taking X as a start point and Z is end point.
In triangle XYZ, we are taking angle Y to be of 90 degrees, which qualifies the Triangle XYZ to qualify Pythagorean theorem [The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right angle triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.]
XY = 50 miles
YZ= 25 miles
XZ^2 = XY^2 + YZ ^2
XZ^2 = (50) ^2 + (25) ^2 = 3125
XZ = 55.9
Shortest distance between start and end point is 55.9 miles
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A florist sells a bundle of 12 sunflowers for $9. You can also buy single sunflowers at the same rate. Fill in the table below
Number of sunflowers: Cost ($): Unit rate ($ per sunflower):
2
4
6
8
10
12
Answer:
3$:4
Step-by-step explanation:
12/3= 4 9/3= 3
3$:4