\( \qquad\qquad\huge\underline{{\sf Answer}}{} \)
Surface area of a cube is :
\(\qquad \tt \dashrightarrow \:6 {a}^{2} \)
where, a represents side length of each edge.
\(\qquad \tt \dashrightarrow \:a = 6(6.4) {}^{2} \)
\(\qquad \tt \dashrightarrow \:a = 6(40.96)\)
\(\qquad \tt \dashrightarrow \:a = 245.76 \: \: unit {}^{2} \)
it can be taken as an approximate of :
\(\qquad \tt \dashrightarrow \:a \approx245.8 \: \: unit {}^{2} \)
Answer:
The answer is D. 245.8 unit^2
Isabell will rent a car for a day. The rental company offers two pricing options: Option A and option B. For each pricing option, cost (in dollars) depends on miles driven, as shown below. It’s Isabell drive the rental car 200 miles which option cost more?How much more does it cost than the other option?For what number of miles driven do the two options cost the same?If Isabell drives more than this amount, which option cost more?
From the graph of miles driven and pricing, it can be observed that for 200 miles option A price is $100 and option B price is $70.
So option A cost more than option B.
Determine the difference between $100 and $70 to obtain how much option A cost more than option B.
\(100-70=30\)So option A cost $30 more than option B.
From the graph, it can be observed that lines of option A and option B intersect each other at (50,40). So option A and option B cost same for 50 miles.
albert and monica have been married for six years and hold media jobs. they want to file their income tax returns together on a combined
taxable income of $245,865.
.
With a total taxable income of $245,865, Albert and Monica, who have been married for six years and work in the media, might choose to file their income tax returns jointly.
The particular tax advantages, deductions, and rates that apply to their case will be determined by the local tax laws and regulations.
It is advised for them to speak with a skilled tax expert or refer to the instructions issued by their local tax authorities to guarantee appropriate filing and to maximise their tax advantages.
Albert and Monica would adhere to the tax laws and regulations of their respective nations or jurisdictions in order to jointly file their income tax returns on a combined taxable income of $245,865.
Married couples often have the choice of filing their tax returns jointly or individually. Many times, filing jointly offers tax advantages like a reduced tax rate or more deductions.
The tax expert may assess their earnings, credits, deductions, and any other important elements to determine their precise tax due and offer helpful guidance for submitting their income tax forms.
To know more about taxable income follow
https://brainly.com/question/26085288
#SPJ12
talia collects survey data that indicate that students who spend more time preparing for the ap test tend to score better than other students. talia can now conclude that
Talia collects survey data that indicate that students who spend more time preparing for the ap test tend to score better than other students. talia can now conclude that a relationship exists between studying and exam grades
What is the relationship between studying and exam grades ?
The grade a student receives on tests is positively correlated with the number of hours they spend studying. You would anticipate a student's grade to increase as they spend more time studying.
What is the meaning of score and survey?
Survey - To view anything in depth, especially to inspect, examine, or appraise something formally or officially in order to determine condition, value, etc. to take a general or comprehensive view of or appraise, as a situation, area of study, etc.
Score - It is used to inquire about what will happen, particularly when arrangements are unclear
Talia may now draw the conclusion that there is a connection between studying and exam results.
To learn more about survey visit:
brainly.com/question/17373064
#SPJ4
g(a) = 2a - 1
hla) = 3a – 3
Find (g. h)(-4)
Step-by-step explanation:
(g. h)(-4) = g(4).h(4)
= [2(4)-1].[3(4)-1]
=7×11
=77
ch/#/test-player II 100% There is 1 teacher for every 18 students on a school trip. How many teachers are there if 72 students go on the school trip? Move values to create a proportion that can be used to solve the problem. 6 18 36 72
Let x be the number of teachers that go on the school trip
1 : 18 = x : 72
1/18 = x/72
cross-multiply
18x = 72
Divide both-side of the equation by 18
x = 4
Therefore, 4 teachers went on the school trip
suppose you plan to eat a snack with 247 calories. how many calories are in the snack? 247 highlight off how many kilojoules are in the snack?
The number of Calories in the snack in Kilojoules is 1.033 Kilojoules .
In the question ,
it is given that ,
the number of calories in the snack = 247 calories
we have to find the calories in Kilojoules ,
we know that the 1 calorie = 4.184 × 10⁻³ Kilojoules
So , on multiplying both the sides by 247 ,
we get ,
247 calorie = 247 × 4.184 × 10⁻³ Kilojoules
= 1033.448 × 10⁻³ Kilojoules
simplifying further ,
we get ,
= 1.033 Kilojoules
Therefore , The number of Calories in the snack in Kilojoules is 1.033 Kilojoules .
Learn more about Multiplication here
https://brainly.com/question/27675936
#SPJ4
What is the Y-intercept of the line shown above
The contents of bottles of water follow a normal distribution with standard deviation of 4 ml. What proportion of bottles have fill volumes within 1 ml of the mean?
Approximately 68% of bottles have fill volumes within 1 ml of the mean. This is because in a normal distribution, about 68% of the data falls within one standard deviation of the mean, and the standard deviation in this case is 4 ml. So, within 1 ml of the mean, we can expect a similar proportion of bottles.
In a normal distribution, the data is symmetrically distributed around the mean. The standard deviation tells us the average amount of variation from the mean. In this case, the standard deviation is 4 ml, which means that about 68% of the data falls within one standard deviation of the mean, both above and below it. Since we're interested in bottles with fill volumes within 1 ml of the mean, which is a range of two standard deviations, we can expect a similar proportion of bottles, approximately 68%, to fall within that range.
Learn more about deviation here:
https://brainly.com/question/31835352
#SPJ11
The data set below represents the heights (in inches) of students in a particular high school class:
72 67 62 64 59 71 62 66 67 75 67 62
What is the range of the data set?
By identifying the maximum value (75) and the minimum value (59) in the data set, we can determine the range, which is 16 inches .
The range of a data set measures the spread or variability of the data. It is calculated by subtracting the minimum value from the maximum value. In this case, the minimum value is 59 (the shortest height) and the maximum value is 75 (the tallest height) in the given data set.
Range = Maximum value - Minimum value
Substituting the values, we have:
Range = 75 - 59 = 16
Therefore, the range of the given data set is 16. This means that the heights of the students in the high school class range from a minimum of 59 inches to a maximum of 75 inches, with a difference of 16 inches between them.
To learn more about Range click here, brainly.com/question/29204101
#SPJ11
2. Write an expression to represent the following
situation. Riley has a piece of wire that is 4 yards
long. He cuts it into pieces that are yard long.
How many pieces of wire does Riley have?
Riley has 4 pieces of wire as he cut a 4 yard long piece of wire into 1 yard pieces. This can be calculated using the formula 4 ÷ 1 = 4.
The length of the wire before it is cut is 4 yards. Since Riley is cutting the wire into pieces that are 1 yard long, the number of pieces of wire he will have can be calculated by dividing the original length of the wire (4 yards) by the length of the pieces he wants to cut (1 yard).
Therefore, the number of pieces of wire Riley has can be expressed using the formula 4 ÷ 1 = 4.
Therefore, Riley has 4 pieces of wire.
Learn more about yard here:
https://brainly.com/question/10790410
#SPJ4
a rectangle has width that is 2 feet less than the length the arrea of the rectangle is 80 square feet find the dimensions of the rectangle
The dimensions of the rectangle are 10 feet (length) and 8 feet (width).
To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,
follow these steps:
1. Let the length of the rectangle be L feet and the width be W feet.
2. According to the given information, W = L - 2.
3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.
4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).
5. Solve the quadratic equation: 80 = L² - 2L.
6. Rearrange the equation: L² - 2L - 80 = 0.
7. Factor the equation: (L - 10)(L + 8) = 0.
8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).
9. Substitute L back into the equation for W: W = 10 - 2 = 8.
So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).
for such more question on dimensions
https://brainly.com/question/11214914
#SPJ11
PLS ANSWER QUICK
37 1/2% of 90
Answer:
33.75
Step-by-step explanation:
.375 * 90 = 33.75
make 371/2 intp .375
4. Which statement is always true when a transversal cuts parallel lines?
The sum of corresponding angles is 180°.
The angles in a vertical pair are acute.
Corresponding angles are supplementary.
Corresponding angles are congruent.
The corresponding angles are equal angles. Then the correct option is D.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Let's check all the options:
The sum of corresponding angles is 180°. The statement is false.
The angles in a vertical pair are acute. The statement is false.
Corresponding angles are supplementary. The statement is false.
Corresponding angles are congruent. The statement is True.
The corresponding angles are equal angles. Then the correct option is D.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ1
a bag contains 3 red balls and 2 blue balls. you draw a ball at random, then without replacing it, draw another ball. what is the probability that the first ball is red and the second ball is blue?
The probability of drawing a red ball on the first draw is 3/5. Since the ball is not replaced, there are now 4 balls left in the bag, with 2 blue balls. Thus, the probability of drawing a blue ball on the second draw is 2/4 or 1/2. Therefore, the probability of drawing a red ball on the first draw and a blue ball on the second draw is (3/5) * (1/2) = 3/10.
To calculate the probability of drawing a red ball on the first draw and a blue ball on the second draw, we use the multiplication rule of probability. According to this rule, the probability of two events A and B occurring is the product of the probabilities of each individual event.
Here, event A is drawing a red ball on the first draw, which has a probability of 3/5 since there are 3 red balls out of 5 total balls in the bag. Since the ball is not replaced after the first draw, event B is drawing a blue ball on the second draw from the remaining 4 balls. There are 2 blue balls out of 4 total balls left in the bag, so the probability of drawing a blue ball on the second draw given that a red ball was drawn on the first draw is 2/4 or 1/2.
Thus, the probability of drawing a red ball on the first draw and a blue ball on the second draw is (3/5) * (1/2) = 3/10. Therefore, the probability of drawing a red ball on the first draw and a blue ball on the second draw is 3/10.
Learn more about probability here:
https://brainly.com/question/32117953
#SPJ11
Find f/(x). (a) f(x) = xsinx (b) f(x) = sech-1x²
The derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).
a) To find f'(x) for f(x) = x*sin(x), we can use the product rule and the derivative of the sine function.
Using the product rule, we have:
f'(x) = (xsin(x))' = xsin'(x) + sin(x)*x'
The derivative of sin(x) is cos(x), and the derivative of x with respect to x is 1. Therefore:
f'(x) = x*cos(x) + sin(x)
So, the derivative of f(x) = xsin(x) is f'(x) = xcos(x) + sin(x).
(b) To find f'(x) for f(x) = sech^(-1)(x^2), we can use the chain rule and the derivative of the inverse hyperbolic secant function.
Let u = x^2. Then, f(x) can be rewritten as f(u) = sech^(-1)(u).
Using the chain rule, we have:
f'(x) = f'(u) * u'
The derivative of sech^(-1)(u) can be found using the derivative of the inverse hyperbolic secant function:
(sech^(-1)(u))' = 1/sqrt(1 - u^2)
Since u = x^2, we have:
f'(x) = 1/sqrt(1 - (x^2)^2) * (x^2)'
Simplifying:
f'(x) = 1/sqrt(1 - x^4) * 2x
So, the derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).
learn more about derivative here
https://brainly.com/question/29144258
#SPJ11
Which points are separated by distance of six units?
Answer:
(1,8) and (1,2) are 6 units apart
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5 and each adult ticket sells for $10. The auditorium can hold a maximum of 110 people. The drama club must make a minimum of $700 from ticket sales to cover the show's costs. If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
80 student tickets and 30 adult tickets must be sold to reach a $700 raise.
Since the drama club is selling tickets to their play to raise money for the show's expenses, and each student ticket sells for $ 5 and each adult ticket sells for $ 10, and the auditorium can hold a maximum of 110 people and the drama club must make a minimum of $ 700 from ticket sales to cover the show's costs, to determine one possible solution the following calculation must be performed:
110 x 5 + 0 x 10 = 550 (700 - 550) / (10 - 5) = 150/5 = 30 80 x 5 + 30 x 10 = 400 + 300 = 700
Therefore, 80 student tickets and 30 adult tickets must be sold to reach a $700 raise.
Learn more about maths in https://brainly.com/question/25901815
Dylan is deciding between two different movie streaming sites to subscribe to. Plan Acosts $16 per month plus $2 per movie watched. Plan B costs $12 per month plus $3per movie watched. Let A represent the monthly cost of Plan A if Dylan watches Iper month, and let B represent the monthly cost of Plan B if Dylan watches x moviesper month. Graph each function and determine the number of monthly movieswatched, x, that would make the two plans have an equal monthly cost.I already tried to solve this but I got it incorrect and I have one more try at it and not sure how to get the final answer. what i have attached is what i have rn.
"y" will represent the total cost per month
"x" will represent the number of movies watched in one month
There are two streaming plans:
Plan A
Has a monthly fee of $16 plus $2 per movie watched.
→ So if he watches no movies in a month, he will pay $16 and for each movie watched he will pay an extra $2
You can represent the monthly cost of plan A as follows:
\(y=16+2x\)Plan B
Has a monthly fee of $12 plus $3 for every movie watched.
The monthly cost of the plan can be expressed as follows:
\(y=12+3x\)For both equations the y-interceot represents the monthly fee of the plan and the slope of the line is the cost per movie.
To determine the number of movies (x) that would make both plans cost the same for one month using a graph, you have to draw both lines and determine the point where they intercept. The x-coordinate of said point will be the number of movies that make both plans cost the same.
To draw the lines you have to determine at least two points of the line.
The easiest point will be the y-intercept, for the second point, choose any value of x, replace it in the formula and calculate the corresponding value of y. Then plot both points and draw the line.
For plan A
\(y=16+2x\)y-intercept, x=0
\(\begin{gathered} y=16+2\cdot0 \\ y=16 \end{gathered}\)The coordinates are (0,16)
Second point, for example, for x= 2 movies
\(\begin{gathered} y=16+2\cdot2 \\ y=16+4 \\ y=20 \end{gathered}\)The coordinates are (2,20)
For plan B
y-intercept, x=0
\(\begin{gathered} y=12+3\cdot0 \\ y=12 \end{gathered}\)The coordinates are (0,12)
Second point, for example, for x=3
\(\begin{gathered} y=12+3\cdot3 \\ y=12+9 \\ y=21 \end{gathered}\)The coordinates are (3,21)
The red line represents the cost with respect to the number of movies for plan A
The purple line represents the cost with respect to the number of movies for plan B
Where both lines intercept indicates the point when both plans cost the same. Said point is (4,24), which means that when you watch x=4 movies both plans will cost $24 that month.
A rare disease exists with which only 1 in 500 is affected. A test for the disease exists, but of course it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, what is the probability that the individual has the disease?
Answer:
The probability that the individual has the disease is 1/500
Step-by-step explanation:
i found the fraction of 1 in 500 which is 1/500, hope this helps :)
find each value of k for which the lines y=9kx-1 and kx 4y=12 are perpendicular
The value of k in the equations is 2/3
How to determine the value of kFrom the question, we have the following parameters that can be used in our computation:
y = 9kx - 1
kx + 4y = 12
This can be expressed as
y = 9kx - 1
y = -kx/4 + 3
The slopes of perpendicular lines are opposite reciprocal
This means that
9k * -k/4 = -1
So, we have
k^2 = 4/9
Evaluate
k = 2/3
Hence, the value of k is 2/3
Read more about linear equation at
https://brainly.com/question/2030026
#SPJ1
1.19x10^-7 in standard notation
Answer:
it should be 1.19 x 10^-7
Step-by-step explanation:
Hope its correct.
The capacity of cuboidal tank with length 5m, breadth 6m and height 2m
The capacity of a cuboidal tank with dimensions 5m x 6m x 2m is 60 cubic meters, representing the amount of space inside the tank.
To find the capacity of a cuboidal tank, you need to multiply its length, breadth, and height. In this case, the length of the tank is 5 meters, the breadth is 6 meters, and the height is 2 meters.
The formula for the capacity of a cuboidal tank is:
Capacity = Length × Breadth × Height
Plugging in the given values, we have:
Capacity = 5m × 6m × 2m
Simplifying the expression, we get:
Capacity = 60 cubic meters
Therefore, the capacity of the cuboidal tank is 60 cubic meters. This means that the tank can hold 60 cubic meters of liquid or any other substance. It's important to note that the capacity of the tank is a measure of volume, which represents the amount of space inside the tank.
To learn more about amount click here
brainly.com/question/28970975
#SPJ11
The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?
Answer:
$3900.71 is the amount of money subtracted from the next model
51099.29 is the cost of the second model
Step-by-step explanation:
on stats-2, run an anova to see if there is a significant difference in whether or not customers purchase a bike depending on their career type. what can you conclude from the results assuming that the data is a valid representation of the total population of potential bike customers?
The first option is correct. There is no significant difference in the purchasing patterns across career types
How is a data valid representation of the total populationIn order for a dataset to be a valid representation of the total population, it needs to be collected in a way that ensures that it is a fair and accurate sample of the population.
One way to ensure this is through random sampling, where individuals are selected to participate in the study without any bias or preconceived notions about their characteristics. This helps to reduce the potential for selection bias and ensures that the sample is representative of the larger population.
Read more on population data here:https://brainly.com/question/27859177
#SPJ1
Find the square root of each of the following numbers by division method. Iii)3481
v)3249
vi)1369
viii)7921
Please hurry up I need the answers :))
The square roots of 3481, 3249, 1369, and 7921 are 59, 57, 37, and 89, respectively, using the division method.
To find the square root of a number the usage of the division method, we first pair the digits of the number, starting from the proper and proceeding left. If the number of digits is odd, the leftmost digit will form a pair with a placeholder 0.
Then, we take the biggest best square that is less than or identical to the leftmost pair and write it down because the first digit of the answer. We subtract this ideal square from the leftmost pair and bring down the subsequent pair of digits.
We double the primary digit of the solution and try to find a digit that, when appended to the doubled digit, gives a product this is much less than or identical to the range acquired by means of bringing down the subsequent pair of digits. This digit is written as the following digit of the solution. The method maintains until all of the digits had been used.
Using this method, we get:
square root of 3481 = 59square root of 3249 = 57square root of 1369 = 37square root of 7921 = 89Consequently, the square roots of 3481, 3249, 1369, and 7921 are 59, 57, 37, and 89, respectively, using the division method.
Learn more about square roots:-
https://brainly.com/question/3617398
#SPJ4
What are the domain and range of the function y=x^2-2x
-1 ?
Hello and regards 24kendalllove.
Therefore, the domain is the entire set of real numbers and the range is y ≥ -2.Being correct, alternative D.Step-by-step explanation:The given function is y = x^2 - 2x - 1.
Domain:The domain of a quadratic function, like this one, is the set of all values of x for which the function is defined. Since a quadratic function is defined for all real values of x, the domain of this function is all real numbers.
Range:To find the range of the quadratic function, we must first identify whether the parabola opens up or down. In this case, the coefficient of the x^2 term is positive (1), which means that the parabola opens up.
Since the parabola opens up, the vertex of the parabola will be the lowest point on the graph. To find the vertex, we use the formula x = -b / 2a, where a and b are the coefficients of the terms x^2 and x, respectively. In this case, a = 1 and b = -2, so x = -(-2) / (2 * 1) = 1. We then plug this value of x into the function to find the corresponding y value: y = (1)^2 - 2(1) - 1 = -2.
So, the vertex of the parabola is (1, -2). Since the parabola opens up, the range of the function will be all y-values greater than or equal to the y-value of the vertex. Therefore, the range of the function is y ≥ -2.
ヘ( ^o^)ノ\(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:
https://brainly.com/question/29138970
6x(8-3)-2 to the power of 2
Show ur work
The value of the expression 6x(8-3)-2 to the power of 2 is 784,
What is PEMDAS?The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.
Given:
An expression,
6 x (8-3)-2,
The simplified form of the expression,
6 x (8-3)-2 = 6 x 5 - 2
= 30 - 2 = 28
Now, 28 to the power of 2 is,
= (28)²
= 784
Therefore, the required solution is 784.
To learn more about the PEMDAS;
https://brainly.com/question/36185
#SPJ1
9÷3,746 what's the answer? can u help?
Answer:
The answer is 0.00240256273
please
Describe the graph of each equation as a transformation of the graph y=5^x.
1. y=3(5)^x
2. y=1/3 5^x
3. y=-5^x
Explain why only like radicals can be added or subtracted while unlike radicals can be multiplied or divided, Under what conditiones can unlike radicals not be multiplied on divided?
Answer:
To multiply radicals with different indices, we need to find a common denominator, which is the lowest common multiple (LCM) between the roots. Once we obtain the LCM, we can multiply each root and exponent in the radicand to obtain the LCM, and rewrite as one radical
When we multiply two radicals with the same type of root (both square roots, both cube roots, and so on), we simply multiply the radicands (the expressions under the radical signs) and put the product under a radical sign