Graph the parabola
y=3x^2-x-2
Answers
A parabola is a bowl-shaped figure. Hence, the vertex is \((\frac{1}{6},\frac{-75}{36})\) and the approximate value is \((0.167,-2.08)\).
And the x-intercept is \((1,(\frac{-2}{3}))\).
Since the additional point is \((3,22)\)
What is a parabola?
A curve formed by the intersection of a cone with a plane parallel to a straight line in its surface: a curve formed by a point moving so that its distance from a fixed point is equal to its distance from a fixed-line. : something that is bowl-shaped.
Here the given quadratic equation is
\(y=3x^{2}-x-2\)
The standard form of the quadratic equation is
\(y=ax^{2}+bx+c\)
where \(a=3,b=-1,c=-2\)
The axis of symmetry is the x-axis of the vertex
\(x=\frac{-b}{2a}\\x=\frac{1}{2(3)}\\x=\frac{1}{6}\)
The y-value of the vertex is determined by substituting \(\frac{1}{6}\) for \(x\) into the equation and solving it for \(y\).
\(y=3(\frac{1}{6})^{2}-\frac{1}{6}-2\\y=3(\frac{1}{36})-\frac{1}{6}-2\\y=\frac{3-6-72}{36}\\y=\frac{3-78}{36}\\y=\frac{-75}{36}\)
Hence, the vertex is \((\frac{1}{6},\frac{-75}{36})\) and the approximate value is \((0.167,-2.08)\).
Since \(a < 0\) the vertex is the maximum point and the parabola opens downward.
X-intercept values of \(x\) when \(y=0\)
Substituting \(0\) for \(y\) and solving for \(x\) using the quadratic formula
\(0=3x^{2}-x-2\\x=\frac{-b+-\sqrt{b^{2}}-{4ac}}{2a}\\x=\frac{1+-\sqrt{1}-{4(3)(-2)}}{2(3)}\\\\x=\frac{1+-\sqrt({1}+{24})}{6}\\\\\\x=\frac{1+-\sqrt(25)}{6}\\\\\\\\x=\frac{1+-5}{6}\\\\\\x=\frac{1+5}{6} , x=\frac{1-5}{6}\\\x=\frac{1+5}{6},x=\frac{1-5}{6}\\\\\x=1,x=\frac{-2}{3}\)
Y-intercept values of \(y\) when \(x=0\)
Substituting \(0\) for \(x\) and solving for \(y\) using the quadratic formula
\(y=3(0)^{6}-0-2\\y=-2\)
Y-intercept \((0,1)\)
Now substitute \(3\) for \(x\) and solve for \(y\)
\(y=3(3)^{2}-3-2\\y=3(9)-5\\y=27-5\\y=22\)
So the point is \((3,22)\).
Hence, the vertex is \((\frac{1}{6},\frac{-75}{36})\) and the approximate value is \((0.167,-2.08)\).
And the x-intercept is \((1,(\frac{-2}{3}))\).
Since the additional point is \((3,22)\)
The parabola is of the form
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Related Questions
when comparing a sampling to a process distribution, what are the most important things to note? multiple choice question. they have different means, are normally distributed, and sampling has greater variability. the distribution graphs for each are essentially identical and interchangeable. they have the same means, are normally distributed, and sampling has less variability.
Answers
The most important thing to note when comparing a sampling to a process distribution is that they have the same means, are normally distributed, and sampling has less variability.
It is crucial to keep in mind that a sample and a process distribution reflect various data populations when contrasting them. A sample distribution is the distribution of the same feature or measurement for a subset of the population, whereas a process distribution is a distribution for the full process or population. The two distributions should be regularly distributed even if their means should differ between two.
The crucial thing to remember is that because the sampling distribution is based on a smaller selection of data than the process distribution, it is more volatile. The standard error of the mean, which is the standard deviation of the sample distribution, is typically used to quantify this variability. The variability of the sampling distribution diminishes as the sample size grows, making estimates based on bigger samples more accurate and trustworthy.
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Which could be a step used when solving the equation 5x+10=7.5x?
Answers
Answer:
Putting all the x's to one side.
Step-by-step explanation:
By doing this, you would get:
10 = 2.5x
so,
4 = x
Answer:
We subtract 5x from both sides
Step-by-step explanation:
Step 1: Subtract 5x from both sides
\(5x + 10 = 7.5x\)
\(10 + 5x - 5x = 7.5x - 5x\)
\(10 = 2.5x\)
Step 2: Divide both sides by 2.5
\(\frac{10}{2.5} = \frac{2.5x}{2.5}\)
\(4 = x\)
Answer: We subtract 5x from both sides
The Arnold Inn offers two plans for wedding parties. Under plan A, the inn charges $30 for each person in attendance. Under plan B, the inn charges $1300 plus $20 for each person in excess of the first 25 who attend. For what size parties will plan B cost less? I do not understand how for Plan b: 1300+20(p-25). I do not understand the part p-25
Answers
ANSWER
81 people
EXPLANATION
Let p be the number of people that attend the party.
Under plan A, the inn charges $30 for each person, so the value y of a party for p people is,
\(y_A=30x\)Then, under plan B, the cost is $1300 for a maximum of 25 people - this means that if 1 to 25 people attend the party, the cost is the same, $1300. For each person in excess of the first 25 - this means for 26, 27, 28, etc, the inn charges $20 each. The cost for plan B is,
\(y_B=1300+20(p-25)\)The last part, (p - 25), is the part of the equation that separates the first 25 attendees. This equation works for 25 people or more, but it is okay to solve this problem. Note that for p = 25, the cost for plan A is,
\(y_A=30\cdot25=750\)Which is less than the cost of plan B ($1300).
We have to find for what number of people attending the party, the cost of plan B is less than the cost of plan A,
\(y_BThis is,\(1300+20(p-25)<30p\)We have to solve this for p. First, apply the distributive property of multiplication over addition/subtract4ion to the 20,
\(\begin{gathered} 1300+20p-20\cdot25<30p \\ 1300+20p-500<30p \end{gathered}\)Add like terms,
\(\begin{gathered} (1300-500)+20p<30p \\ 800+20p<30p \end{gathered}\)Now, subtract 20p from both sides,
\(\begin{gathered} 800+20p-20p<30p-20p \\ 800<10p \end{gathered}\)And divide both sides by 10,
\(\begin{gathered} \frac{800}{10}<\frac{10p}{10} \\ 80For 80 people, the costs of the plans are,
\(\begin{gathered} y_A=30\cdot80=2400 \\ y_B=1300+20(80-25)=1300+20\cdot55=1300+1100=2400 \end{gathered}\)Both have the same cost. The solution to the inequation was the number of people, p, is more than 80. This means that for 81 people the cost of plan B should be less than the cost of plan A,
\(\begin{gathered} y_A=30\cdot81=2430 \\ y_B=1300+20(81-25)=2420 \end{gathered}\)For 81 people, plan B costs $10 less than plan A.
The price of milk increased by 8%. If the original price is R10,84 what is the new price?
Answers
Answer:R11.718
R10.85*108/100=R11.718
Step-by-step explanation:
Clothing sizes are not standardized across brands. Suppose that a large study of women's size 14 jeans revealed that the mean hip measurment was 42.3 in with a standard deviation of 1.2 in. As part of a project for a fashion merchandizing class, Mallorie selects a simple random sample of 15 pairs of women's size 16 jeans and records the following hip measurements. in inches. 44.5,43.0, 46.6, 42.9.43.7.43.9.42.4, 43.2, 43.1.44.4.46.1, 44.7,44.4, 43.9,44.7 Mallorie plans to use this data to construct a 99% confidence interval for fe, the mean hip measurement of women's size 16 jeans. She assumes that the hip measurements are normally distributed and that the population standard deviation is 1.2 in. The sample mean, x, is the point estimate for a confidence interval to estimate a population mean. What is the mean hip measurement for the random sample of 15 pairs of women's size 16 jeans? What is the margin of error for Mallorie's confidence interval? Choose the correct interpretation of Mallorie's confidence interval. a. Mallorie is 99% sure that the mean hip measurement of size 8 jeans is between 37.71 in and 38.67 in. b. In 99% of all samples, the sample mean will fall between 37.66 in and 38.73 in. c. There is a 99% chance that the mean hip measurement of size 8 jeans falls between 37.71 in and 38.67 in. d. There is a 99% chance that the mean hip measurement of size 8 jeans falls between 37.66 in and 38.73 in. e. Mallorie is 99% sure that the mean hip measurement of size 8 jeans is between 37.66 in and 38.73 in.
Answers
Using the z-distribution, we have that:
The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.The margin of error is of 0.8 in.The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the sum of all observations divided by the number of observations. Hence:
\(\overline{x} = \frac{44.5+43.0+46.6+42.9+43.7+43.9+42.4+43.2+43.1+44.4+46.1+44.7+44.4+43.9+44.7}{15} = 44.1\)
The margin of error of a z-confidence interval is given by:
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which:
z is the critical value. \(\sigma\) is the population standard deviation. n is the sample size.We have to find the critical value, which is z with a p-value of \(\frac{1 + \alpha}{2}\), in which \(\alpha\) is the confidence level.
In this problem, \(\alpha = 0.99\), thus, z with a p-value of \(\frac{1 + 0.99}{2} = 0.995\), which means that it is z = 2.575.
Then, the margin of error is:
\(M = z\frac{\sigma}{\sqrt{n}}\)
\(M = 2.575\frac{1.2}{\sqrt{15}}\)
\(M = 0.8\)
The margin of error is of 0.8 in.
The interval is:
\(\overline{x} \pm M\)
\(\overline{x} - M = 44.1 - 0.8 = 43.3\)
\(\overline{x} + M = 44.1 + 0.8 = 44.9\)
The interpretation is:
Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.
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Area of triangle help
Answers
Hello,
The formula of triangle is 1/2 x b x h where b is base and h is height. We know from the diagram that base is 25 cm and height is 10 cm.
Substitute in the formula:
\(\displaystyle{A=\dfrac{1}{2}\cdot 25\cdot 10}\\\\\displaystyle{A=25 \cdot 5}\\\\\displaystyle{A=125 }\)
Therefore, the area is 125 cm². Please let me know if you have any questions!
Event A occurs with probability of 0.3 and event B occurs with probability 0.4. If A and B are independent, we may conclude that P (B/A) = 0.4. P (A and B) = 0.12. P (A/B) = 0.3. P (A or B) = 0.58. all of the answers are correct.
Answers
If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.
Which statements regarding the probabilities of events A and B are correct when they are independent?Let's evaluate each statement:
P(B/A) = 0.4:
This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.
Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.
P(A and B) = 0.12:
This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.
P(A/B) = 0.3:
This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.
P(A or B) = 0.58:
This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.
If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.
Therefore, the correct statements are:
P(A and B) = 0.12P(A or B) = 0.58The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.
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Which expression is equivalent to (3^2)^-2
Answers
Answer:
1/3^4
1/81
Step-by-step explanation:
(3^2)^-2
We know that a^b^c = a^(b*c)
3 ^(2*-2)
3^-4
We know that a^-b = 1/a^b
1/3^4
1/81
Complete the explanation of a real world situation that could be modeled
by |x − 13| = 4.
There are supposed to be ____ biscuits in a frozen package, but there could be as many as _____ extra or _____ fewer in each bag, depending on the weight of the biscuits. Solving the equality will give the highest and lowest amounts of biscuits in the bag.
Answers
Answer:
13, 4, and 4
Step-by-step explanation:
The absolute value of a difference measures the discrepancy between the two numbers inside. The 13 represents the ideal amount of biscuits and x represents the actual number of biscuits in the package. So the difference between the actual and the ideal is 4 (whether it's 4 more of 4 less than 13).
The situation described doesn't actually match the wording, because this says there'll either be 9 or 17 biscuits in the package, due to the "=". If you wanted to have "as many as," then this should be "≤", allowing for 4 or fewer in either direction.
A cattle farmer wants to save for his daughter's college tuition. He will have to pay P50,000 at the end of every year for the next four years that his daughter attends college. He has 8 years until his daughter starts college to save up for her tuition. Using a 7\% interest rate compounded annually, what is the amount the farmer would have to save every year for the 8 years?
Answers
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
Given:
Payment required at the end of each year: P50,000
Number of years until the daughter starts college: 8
Interest rate: 7% (compounded annually)
We can calculate the annual savings using the formula for the present value of an ordinary annuity:
P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}
Where:
P = Present value (amount to be saved annually)
PMT = Payment amount (P50,000)
r = Interest rate per period (7% or 0.07)
n = Number of periods (8)
Let's substitute the given values into the formula:
\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
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What is the surface area?
5 yd
6 yd
5 yd
5 yd
4 yd
square yards
Answers
The surface area of the rectangular prism is 170 square yards.
What is the surface area formula?Surface area is the total area of a three-dimensional shape's surface. Add the areas of all six faces to find the surface area of a cuboid with six rectangular faces. Alternatively, label the cuboid's length (l), width (w), and height (h) and use the formula: surface area (SA)=2lw+2lh+2hw.
To calculate the surface area of the rectangular prism, add the areas of each of its faces.
The front and back faces are 5 yards by 6 yards in size, so each has an area of:
5 yards x 6 yards equals 30 square yards
The top and bottom faces are 5 yards by 5 yards, so each has an area of:
5 yards x 5 yards equals 25 square yards
The two side faces have dimensions of 6 yards by 5 yards, for a total area of:
30 square yards = 6 yards x 5 yards
As a result, the surface area of the rectangular prism is as follows:
Front face area plus back face area plus top face area plus bottom face area plus left side face area plus right side face area
= 30+30+25+25+30+30
= 170 square yards
As a result, the rectangular prism has a surface area of 170 square yards.
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Figure A is a scale image of Figure B.
What is the value of x?
NO LINK. OR I WILL REPORT YOU.
Answers
Answer:
4.4
Step-by-step explanation:
x / 4 = 11 / 10
x = ( 4 x 11 ) / 10
= 44 / 10
x = 4.4
Answer:
5
Step-by-step explanation:
To measure scale factors, you have to measure how much units apart each triangle is, and apply the same length to x on figure A.
Here is the equation I used:
10-4=6
11-6=5
Both triangles are 6 units in difference.
41.30769230769231 as a mixed number i will give branlyest
Answers
Answer:
41 4/13
Step-by-step explanation:
brainlest plz?
Answer:hmmm
Step-by-step explanation:
A 75-day discount note has a discount rate of 6.75%. The proceeds of the discount note are $11.450
Find the face value.
Answers
The face value of the discount note, to the nearest cent is calculated as: $11,617.74.
How to Find the Face Value of a Discount Note?To find the face value of the discount note, we can use the formula:
Face Value = Proceeds / (1 - Discount Rate x Time)
Where the time is in years, so we need to convert 75 days to years by dividing by 365:
Time = 75 / 365 = 0.2055 years
Substituting the given values, we get:
Face Value = 11,450 / (1 - 0.0675 x 0.2055)
Face Value = 11,450 / 0.9861
Face Value = $11,617.74 (rounded to the nearest cent)
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find -|-2/5|?
-2.5
2.5
2/5
-2/5
Answers
Answer:
(2/5)
Step-by-step explanation:
(-2/5) = -(2/5)
|-(2/5)| = (2/5)
Is ∠ABC ≅ ∠ADC? Yes or no and why. PLEASE HELP ME? thanks. BRAINLIEST to CORRECT answers ONLY. PLEASE NO LINKS
Answers
four friends went to the each person bought a movie ticket and the total the four friends spent on the tickets was $52 Which equation can be used to find the cost of each ticket
Answers
The total amount of money spent/ amount of friends
Step-by-step explanation:
52/4
Answer:
4x = 52
Step-by-step explanation:
Let's say the cost of the ticket is represented by the variable x.
If 4 friends each went to the movies, and the tickets cost $52, that means
x + x + x + x = 52
Simplifying this, we get
4x = 52
If you want to solve for the cost of each ticket, divide both sides by 4.
After doing this, we get
x = $13
I hope this helps!
Perform the calculation, rounding your answer to the proper number of significant figures. \[ 0.32610 \div 1.830= \] Type answer:
Answers
Performing the calculation \(\frac{0.32610}{1.830}\) and rounding the answer to the proper number of significant figures gives us approximately 0.178.
To explain the calculation further, we divide 0.32610 by 1.830. The division results in a quotient of 0.1781967213. However, since we need to round the answer to the proper number of significant figures, we look at the least precise number in the given values, which is 1.830 with four significant figures. Therefore, we round the quotient to three significant figures, giving us approximately 0.178 as the final result.
Significant figures are used to indicate the precision of a number or measurement. They include all the certain digits in a number and the first uncertain or estimated digit. When performing mathematical operations, it's important to consider significant figures and round the final result accordingly to maintain accuracy and proper representation of precision.
In this case, the division yields a result with ten significant figures, but we round it to three significant figures since that is the least precise value among the given numbers. This ensures that the answer reflects the appropriate level of precision and adheres to the rules of significant figures.
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Performing the calculation \(\frac{0.32610}{1.830}\) and rounding the answer to the proper number of significant figures gives us approximately 0.178.
To explain the calculation further, we divide 0.32610 by 1.830. The division results in a quotient of 0.1781967213. However, since we need to round the answer to the proper number of significant figures, we look at the least precise number in the given values, which is 1.830 with four significant figures. Therefore, we round the quotient to three significant figures, giving us approximately 0.178 as the final result.
Significant figures are used to indicate the precision of a number or measurement. They include all the certain digits in a number and the first uncertain or estimated digit. When performing mathematical operations, it's important to consider significant figures and round the final result accordingly to maintain accuracy and proper representation of precision.
In this case, the division yields a result with ten significant figures, but we round it to three significant figures since that is the least precise value among the given numbers. This ensures that the answer reflects the appropriate level of precision and adheres to the rules of significant figures.
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Which of the following are properties of the linear correlation coefficient?
a. If r is close to 0, then little or no evidence of any relation between the explanatory or response variable exists.
b. The linear correlation coefficient is always between−1 and 1. That is,−1≤r≤1.
c.The correlation coefficient is resistant.
d. A linear correlation of −0.742 suggests a stronger negative association between two variables than a linear correlation of −0.472.
e. A linear correlation of 0.639 suggests a stronger linear relation between two variables than a linear correlation of −0.639.
f. If r=−1, then a perfect negative linear relation exists between the two variables.
Answers
Among the options given in the question, the following are the properties of the linear correlation coefficient:
The linear correlation coefficient is always between−1 and 1. That is,−1≤r≤1.
A linear correlation of −0.742 suggests a stronger negative association between two variables than a linear correlation of −0.472.
If r=−1, then a perfect negative linear relation exists between the two variables.
Properties of linear correlation coefficient:
Linear correlation coefficient is a value calculated from given data and used to measure the strength of linear relationship between two variables, for instant between x and y variables.
The sign of this coefficient (r) indicates the direction linear relationship will take between x and y. Below are some properties of the linear correlation coefficient:
The value of r lies between -1 and 1 inclusiveThe sign of r indicates the direction of the linear relationship between x and yThe size of r indicates the strength of the linear relationship between x and yNow, the properties of the linear correlation coefficient among the given ones in the question are:
b. The linear correlation coefficient is always between−1 and 1. That is,−1≤r≤1.
d. A linear correlation of −0.742 suggests a stronger negative association between two variables than a linear correlation of −0.472.
f. If r=−1, then a perfect negative linear relation exists between the two variables.
Hence, options b, d and f are correct.
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Find the area plzzzzzzxxxzzxxxzzzzzzz
Answers
Step-by-step explanation:
step 1. break up the shape into 2 triangles and one rectangle
step 2. A = area of triangle 1 (t1) + area of triangle 2 (t2) + area of the rectangle (r)
step 3. t1 = (1/2)bh where b is the base and h is the height. definition of the area of a triangle.
step 4. t1 = (1/2)(3)(2) = 3ft^2.
step 5. t2 = (1/2)(3)(3) = 4.5ft^2.
step 6. r = bh where b is the base and h is the height. definition of the area of a rectangle.
step 7. r = bh = (8)(4) = 32ft^2.
step 8. A = t1 + t2 + r = 3 + 4.5 + 32 = 39.5ft^2.
Tell whether the points form a right triangle.
( − 8, 6), (7, 9), (0, — 13)
Answers
Given the data cleanup problem of removing 0 values from a data set, the ____ algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.
Answers
The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.
According to the statement
We have given that the there is a algorithm which is used to data cleanup problem of removing 0 values from a data set, and scans a list from left to right and copies every legitimate value into a new list.
and we have to explain about that algorithm.
So,
Here we given that the algorithm copies and paste the values in the new files then
the algorithm is called the copy over algorithm.
So, The copy over algorithm is a a single specimen of something that occurs in a multiple edition, such as a book, article, etc. a matter to be reproduced in print or an imitation or reproduction of an original.
So, The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.
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Which equation is in point slope form and is depicted by the line in the graph?
A.(y-3) = 3/5 (x-2)
B. (y-3) = -(3)/(5) (x+2)
C. (y-3)= 5/3 (x-2)
D. (y+3) = 5/3 (x+2)
Answers
The equation of line passing through (-2,3) and (3,0) will be (y - 3) = - 5/3 (x + 2). Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The graph is given below.
The equation of line passing through (-2,3) and (3,0) will be
The equation of line will be
(y - 3) = [(3 + 2) / (0 - 3)] (x + 2)
(y - 3) = - 5/3 (x + 2)
Then the correct option is B.
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Use the following information to answer the question that follows about Robert.
What is Robert's approximate budgeted savings ratio? \( 1 \% \). \( 24 \% \). \( 10 \% \). \( 6 \% \)
Answers
Robert's approximate budgeted savings ratio is 6%.
Robert's approximate budgeted savings ratio is 6%. This means that Robert plans to save approximately 6% of his income. The budgeted savings ratio is a financial metric that indicates the percentage of income an individual plans to save for future goals or emergencies. In Robert's case, out of his total income, he has allocated 6% to be saved.
Saving a portion of income is a prudent financial habit that allows individuals to build an emergency fund, save for long-term goals such as retirement, or invest in opportunities for future growth. By budgeting a specific percentage for savings, Robert demonstrates a commitment to financial planning and building a secure financial future.
Budgeting for savings helps individuals develop discipline in managing their finances and ensures that saving becomes a regular and consistent habit. It also provides a framework for tracking progress towards financial goals and allows individuals to make necessary adjustments to their spending patterns if needed.
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Find the total interest:
$520 at 2%
for 6 years
Answers
The interest is %2 of 520 which, if you do the math, is 10.4 cents. You want to find out how much interest it is for 6 years so you have to multiply them.
10.4 x 6 = 62.4
The total interest for 6 years is $62.4
your welcome
parallelogram ABCD where measure angle B = 135º and AB = 18 in. find the height of the parallelogram.
Answers
sin(45) =opp/18
opp=18sin(45)
h = 9 root 2
24. If all of the dimensions of the aquarium
were doubled, what would be the
volume of the new aquarium?
Answers
Answer:
You can solve this problem by doubling each original measure then putting them in the equation. So, a length of 6in becomes 12in, a width of 10in becomes 20in, a height of 9in becomes 18in. The equation is now 12x20x18. 12x20= 240. 240x18= 4,320. This means the new aquarium has a volume of 4,320in3.
Step-by-step explanation:
-2 + 1/2 what is the answer
Answers
Answer:
-1 1/2
Step-by-step explanation:
1/2 is positive and - 2 is negative
1/2 is positive and -2 is negative
a type of medicine is given in a 100 miligram dosage. the medicine comes in a 12 gram bottle. how many 100 milligram doses are in a bottle?
Answers
The medicine bottle has 120 doses of 100 miligram each.
As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000
Performing multiplication on Right Hand Side of the equation
Amount of medicine in bottle = 12000 milligrams.
Now, number of dose of 100 miligram medicine = 1
Amount of dose of 12000 miligram medicine = (1/100)×12000
Performing division and multiplication on Right Hand Side of the equation
Amount of doses in 12000 miligram medicine = 120
Thus, there are 120 doses in a medicine.
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One fifth less than the product of seven and a number
Answers
Answer:
Step-by-step explanation:
\(\frac{1}{5}\) ∠ 7x
\(\frac{1/5}{7}\) ∠ x
1/35 ∠x
x ≥ \(\frac{1}{35}\)