Answer:2
Step-by-step explanation:
There is 2 decimal places because you see how many numbers there are behind each of the decimals when multiplying then add them and that’s how many numbers are behind the decimal in the problem
2 digit long multiplication.
__________________________________________
Long multiplication can seem very intimidating, especially if you're multiplying two numbers that are pretty large, or like in this case if you're using decimals. If you take it step by step, though, you'll be able to do long multiplication in no time.
\(\frac{\begin{matrix}\:\:&3&4&\:\:\\ \:\:&\:\:&5&6\\ \times \:&\:\:&\:\:&7\end{matrix}}{\begin{matrix}\:\:&3&9&2\end{matrix}}\)
How do we determine where the decimal point goes?
\(5.6\mathrm{\:has\:}1\mathrm{\:decimal\:place}\)
\(0.7\mathrm{\:has\:}1\mathrm{\:decimal\:place}\)
\(\mathrm{Therefore,\:the\:answer\:has\:}2\mathrm{\:decimal\:places}\)
\(=3.92\) is your FINAL ANSWER!
__________________________________________
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Zada is paid an hourly rate, as well as a bonus, each day. Her hourly rate is $12 per hour. When she works 4 hours, she earns a total of $68.
Answer:
$20 is her bonus
Step-by-step explanation:
12 + 12 + 12 = 48
68 - 48 = 20
Which expression is equivalent to
B^2/ab^-3? Assume a≠0, b≠0
Exponents, commonly referred to as powers, are symbols used in mathematics to denote repeated multiplication of the same integer. The base of an exponential expression is the multiplied number, and the exponent is the number of times the base has been multiplied by itself.
Given the expression B^2/ab^-3, we can simplify it by using the properties of exponents:
Remember that a^(-n) = 1/a^n. So, b^(-3) = 1/b^3.
Substitute this back into the expression: B^2/(a*(1/b^3)). Now, we can simplify the expression by multiplying B^2 by the reciprocal of the denominator (which is b^3/a): B^2 * (b^3/a).
Apply the properties of exponents and multiply the numerators and the denominators separately: (B^2 * b^3) / a.
Combine the exponents of 'b': B^(2+3) / a.
Finally, the simplified expression is B^5/a.
So, the equivalent expression for B^2/ab^-3 is B^5/a, assuming a≠0 and b≠0.
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f scores are normally distributed with a mean of 35 and a standard deviation of 10, what percent of the scores is: (a) greater than 34?
The percentage of scores greater than 34 is 0.5398 or 53.98%.
Given that the mean of scores (μ) = 35 and the standard deviation (σ) = 10. We need to find the percentage of scores greater than 34. Since the scores are normally distributed, we can standardize the variable by using the z-score formula.
z = (x - μ) / σ
Here, x = 34, μ = 35 and σ = 10z = (34 - 35) / 10z = -0.1
We need to find the area to the right of the z-score line on the standard normal distribution table. The standard normal distribution table provides the probabilities corresponding to the z-scores, i.e. the area under the curve to the right or left of the z-score line on the distribution table. The area to the right of the z-score line represents the percentage of scores that are greater than the given value. Using the standard normal distribution table, the area to the right of the z-score line -0.1 is 0.5398.
The percentage of scores greater than 34 is 0.5398 or 53.98%.
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If y=-2x+6 were changed to y= 3x+2, how would the graph of the new line
compare with the first one?
OA. The new graph would be steeper than the original-graph, and the y
intercept would shift down 4 units.
OB. The new graph would be steeper than the original graph, and the y
intercept would shift up 5 units.
OC. The new graph would be less steep than the original graph, and
the y-intercept would shift down 4 units.
OD. The new graph would be less steep than the original graph, and
the y-intercept would shift up 5 units.
If y=-2x+6 were changed to y= 3x+2, how would the graph of the new line compare with the first one: A. The new graph would be steeper than the original-graph, and the y-intercept would shift down 4 units.
What is a steeper slope?In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.
In this context, we can reasonably infer and logically deduce that the graph of the new line would be steeper than the original graph because a slope of 3 is greater than a slope of -2.
Also, the y-intercept would shift down 4 units;
y-intercept = 6 - 2
y-intercept = 4 units.
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Joella makes $12.75 per hour. This is $2.50
more than her younger sister makes per hour. .
How much does Joella's sister make per hour?
please help i have to make a discussion topic doesn’t have to be long just simple but still answering the question
You would add 5x + 2x = 7x
Substitute 5 for x and that = 5(5)= 35 +2(5)= 10= 45
and do it for 7(5)= 35-1 = 34 too
You can't make them equal
Following the pattern in (5)(3)+(2)(3) = (5+2)(3), we could do the same thing with 5x+2x = (5+2)x. We're basically un-distributing the common factor from each term.
And now with (5+2)x, we can add the 5 and 2 to get 7x.
If we substitute different values into 5x+2x, it works out to add up to 7 times that same substituted value. For example:
(5)(9)+(2)(9)=45+18=63
(7)(9)=63
If we substitute 9 into 7x-1, then we end up with 63-1 = 62.
In fact, any number we put into 5x+2x will always be one more than 7x-1. So, no, there doesn't seem to be any value of x that would make these equal. Since 5x+2x=7x, then 7x-1 will always be one less than 7x.
I need help I don’t get it
find the slope of -3/5x-1
What is the value of x?
Answer:
x=5
Step-by-step explanation:
\(\frac{10}{x} = \frac{4x}{10}\)
\(4x^{2} =100\\x^{2} =25\\x=5\)
Select the expression that can be used to find the volume of this rectangular prism.
A.
(
6
×
3
)
+
15
=
33
i
n
.
3
B.
(
3
×
15
)
+
6
=
51
i
n
.
3
C.
(
3
×
6
)
+
(
3
×
15
)
=
810
i
n
.
3
D.
(
3
×
6
)
×
15
=
270
i
n
.
3
The correct expression to find the volume of a rectangular prism is D. (3 × 6) × 15 = 270 in.3.
What is expression?Expression is a word, phrase, or gesture that conveys an idea, thought, or feeling. It is an outward representation of an emotion, attitude, or opinion. Expressions can be verbal, physical, or written. They can also take the form of art, music, or dance. Expression is used to communicate and express emotions, thoughts, and ideas. It can be a powerful tool to create a connection with others and build relationships.
The correct expression to find the volume of a rectangular prism is D. (3 × 6) × 15 = 270 in.3. This expression involves multiplying the length, width, and height of the rectangular prism in order to calculate the total volume. In this case, the length is 3, the width is 6, and the height is 15. If these values are multiplied together, the result is 270 in.3, which is the total volume of the rectangular prism.
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Find the average rate of change in the simplest form
The slope of the line that passes through the point (2,4)and (3,8) is
Equation of the line:
y = 4x – 4
Slope: 4
Answer:
+4
Step-by-step explanation:
Slope is Rise over Run or the difference in the y values over the difference in the x values.
Rise = difference between 4 and 8 = 4
Run = difference between 2 and 3 = 1
So your slope is 4 and since the line slants upward from left to right, the slope is positive.
5. A line crosses through the points (0, 2) and
(-10, - 16). Which of the following is the slope
of the line?
Answer:
Option B
Step-by-step explanation:
In order to find the answer you must use the formula for slope, substitute the values, and solve.
\(P = (0,2) = (x1,y1)\)
\(P=(-10,-16)=(x2,y2)\)
\(Slope = \frac{y2-y1}{x2-x1}\)
Substitute:
\(Slope = \frac{-16-2}{-10-0}\)
Solve:
\(-16-2=-16+-2=-18\)
\(-10+0=-10\)
\(=\frac{-18}{-10}\)
Reduce:
\(18\div2=9\)
\(10\div2=5\)
Remember that a negative divided by a positive equals a negative
\(=-\frac{9}{5}\)
Hope this helps
Evaluate the following expression when x = 2. -3x + 13 - 10x
Answer:
x=66
Step-by-step explanation:
Answer: i wanna say -13 but it may be wrong so i dont know
Step-by-step explanation:
solve 2x/5 + x/7 = 2
The solution to the equation 2x/5 + x/7 = 2 is x ≈ 4.757.
To solve the equation (2x/5) + (x/7) = 2,
Multiplying each term by 35 to clear the fractions, we get:
35 (2x/5) + 35 (x/7) = 35 (2)
(35 . 2x) / 5 + (35 x) / 7 = 70
Now, we can simplify the equation further:
(70x / 5) + (5x / 7) = 70
490x + 25x = 2450
515x = 2450
x = 2450 / 515
x ≈ 4.757
Therefore, the solution to the equation 2x/5 + x/7 = 2 is x ≈ 4.757.
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Find the height of the cone if the volume is 400pi in.^3
and the radius is 20 in
Answer:
The height is 3
Step-by-step explanation:
The formula to find the volume is pi r^2 h/3
So we change the formula: 400pi is 1256.64 rounded
Divide 1256.64 by pi 20^2 and you get 3
What is an inherent zero? describe three examples of data sets that have inherent zeros and three that do not.
The inherent zero is simply a zero. The three instances for both are-
the average age among college graduates, average monthly body weight, maximum wind velocity during a hurricane with intrinsic zero.Year of birth, body weight in space, and year of automobile accidents are three that do not.What is inherent zero?The absolute zero is another name for the intrinsic zero. This is not included in the interval scale because, while the disparity between the two observations makes sense, the ratio does not because it lacks an inherent zero.
Some key features of inherent zero are-
In statistics, the inherent zero is regarded as the starting point or reference point for the ratio scale. The scale with an inherent zero is called as the ratio scale, since we can then compute the ratio between observations and comment on the number of times one observation is less than or bigger than another.To know more about the inherent zero, here
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I need help It’s a little stressful
Yes, m∠ABC and m∠XYZ are congruent
No, lines FG and DE are not congruent
Yes, OR and OS are congruent
Yes, 2∠ and ∠4 are congruent.
What are congruent angles and line segmentsCongruent angles are angles that have the same measure, in degrees and are often represented by the symbol "≅". While congruent line segments are two or more line segments that have the same length.
m∠XYZ = 180° - 140° {supplementary angles}
m∠XYZ = 40°
so;
m∠ABC and m∠XYZ are congruent
line FG = and line DE =
so;
FG and DE are not congruent
OR = 2in and OS = 2in
so;
OR and OS are congruent
∠2 and ∠4 are vertical angles and are equal so;
2∠ and ∠4 are congruent
Therefore, (m∠ABC and m∠XYZ), (2∠ and ∠4), and (OR and OS), are two pairs of angles and line segments respectively which are congruent, while the lines segments FG and DE are not congruent.
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In a school of 200 students, 100 study arts and 70 study biology and 46 study chemistry. 28 study arts and chemistry,23 study biology and chemistry, 30 study arts and biology. 18 study all the three subjects. Represent the information on a venn diagram
Find the number of people who do not study any of the three subjects.
The number of students who study only one subject
47 students do not study any of the three subjects, and 108 students study only one subject.
How to solveIn total, eighteen students study all three subjects (A∩B∩C). Now, let's examine the students studying two subjects: thirty students partake in art and biology classes (A∩B);
This implies that twelve learners partake within only art and biology studies (A∩B, but not C).
There are twenty-eight students who indulge in arts and chemistry studies (A∩C), therefore ten individuals purely pursue both of these topics (A∩C, yet not B).
Twenty-three students complete courses in biology and chemistry (B∩C) – thus, five students uniquely undertake solely those disciplines (B∩C, excluding A).
Let us determine the number of students who concentrate on a single area: finance reports that one hundred students take up arts classes (A); accounting for the remaining fractions, sixty students focus solely on art courses (A).
Seventy individuals engage with biology classes (B); consequently, thirty-five people entirely invest in those research fields (B). Forty-six students participate in chemistry studies (C); consequently, thirteen students alone attend to chemistry learning (C).
One hundred eight learners are solely dedicated to one area.
Finally, let's ascertain how many students do not study any of the three subjects by subtracting the sum of pupils engaging with at least one subject from the major amount of overall students: two hundred items is the entire number of students.
Subsequently, one hundred fifty-three people explore at least one field of study (sixty [only A], thirty-five [only B], thirteen [only C], twelve [A∩B], ten[A∩C], and five[B∩C] plus eighteen [A∩B∩C]).
Therefore, forty-seven students fail to check out any of the three topics.
In conclusion, 47 students do not study any of the three subjects, and 108 students study only one subject.
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Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.
constraints in mathematical modeling can be represented using equations or inequalities, as well as systems of equations and/or inequalities.
In mathematical modeling, constraints are conditions or limitations that restrict the possible values or solutions of a problem. They can be represented using equations or inequalities, as well as systems of equations and/or inequalities. The solutions to these constraints can then be interpreted as viable or non-viable options within the context of the model.
Here are a few examples to illustrate the representation of constraints and the interpretation of solutions:
Example 1: Production Constraints
Let's say we are modeling a production process where we have limited resources. We have a constraint that the total number of units produced cannot exceed 100. We can represent this constraint as an inequality:
x ≤ 100
where x represents the total number of units produced. The solution to this constraint would be any value of x that is less than or equal to 100. Any value greater than 100 would be a non-viable option within the context of the production process.
Example 2: Budget Constraints
Suppose we are creating a budget for a project and have a constraint that the total expenses cannot exceed $5000. We can represent this constraint as an equation:
x + y + z = 5000
where x, y, and z represent different expense categories. The solution to this constraint would be any combination of values for x, y, and z that sum up to 5000. Any combination that exceeds 5000 would be non-viable within the budget constraints.
Example 3: Optimization Problem
Consider an optimization problem where we want to maximize a certain objective function subject to certain constraints. For instance, suppose we want to maximize the area of a rectangular garden while having a fixed perimeter of 40 meters. We can represent this problem using equations and inequalities:
2x + 2y = 40 (perimeter constraint)
Area = x * y (objective function)
The solution to this problem would be the values of x and y that satisfy the perimeter constraint while maximizing the area. These solutions would be the viable options within the context of the garden design.
In summary, constraints in mathematical modeling can be represented using equations or inequalities, as well as systems of equations and/or inequalities. The solutions to these constraints represent the viable or non-viable options within the context of the model, and they help guide decision-making and problem-solving processes.
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MIchelle earns $9.00 per hour babysitting. Last week she earned $72.00. Choose the correct equation and solution which determines the number of hours, h, that Michelle babysat.
Answer:
Hello! Answer: $72.00 ÷ $9.00 = 8 hours
So Michelle worked for 8 hours
-4x + 2(5x - 6) = 6(x - 2)
Answer:
Sorry but this equation gives me 6x-12=6x-12
Step-by-step explanation:
Hope u don't mind me asking but have u tried it out yet and what did you get???
Is that a negative b4 4x??
__________
\( \: \)
-4x + 2(5x - 6) = 6(x - 2)
-4x + 10x - 12 = 6x - 12
6x - 12 = 6x - 12
6x - 6x = -12 + 12
0 = 0
Soo, answer for Question is no answered.
Which graph represents the table only A or B
A school guidance counselor is researching the number of high school students who play an online video game that is aimed at much younger children. She polls 100 seniors that regularly meet in her office to gather data for her study. Which statement best describes the results of this poll?
C is the answer
Answer:
C is the answer
Step-by-step explanation:
Answer:
C) The results of the poll are likely an underestimation of the number of high school students who play the game.
Step-by-step explanation:
I got it correct.
Maximize la función Z 2x + 3y sujeto a las condiciones x 24 y 25 (3x + 2y = 52
To solve this problem, we can use the method of Lagrange multipliers. This method allows us to find the maximum or minimum of a function subject to constraints.
In this case, the function we want to maximize is Z = 2x + 3y and the constraints are x = 24, y = 25, and 3x + 2y = 52.We begin by setting up the Lagrangian function, which is given by:L(x, y, λ) = Z - λ(3x + 2y - 52)where λ is the Lagrange multiplier. We then take the partial derivatives of the Lagrangian with respect to x, y, and λ and set them equal to zero.∂L/∂x = 2 - 3λ = 0∂L/∂y = 3 - 2λ = 0∂L/∂λ = 3x + 2y - 52 = 0Solving for λ, we get λ = 2/3 and λ = 3/2. However, only one of these values satisfies all three equations. Substituting λ = 2/3 into the first two equations gives x = 20 and y = 22. Substituting these values into the third equation confirms that they satisfy all three equations. Therefore, the maximum value of Z subject to the given constraints is Z = 2x + 3y = 2(20) + 3(22) = 84.
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The maximum value of Z = 2x + 3y, subject to the conditions x ≤ 24, y ≤ 25, and 3x + 2y = 52, is 96.
To maximize the function Z = 2x + 3y, subject to the conditions x ≤ 24, y ≤ 25, and 3x + 2y = 52, we will use the method of linear programming.
Let us first graph the equation 3x + 2y = 52.
The intercepts of the equation 3x + 2y = 52 are (0, 26) and (17.33, 0).
Since the feasible region is restricted by x ≤ 24 and y ≤ 25, we get the following graph.
We observe that the feasible region is bounded and consists of four vertices:
A(0, 26), B(8, 20), C(16, 13), and D(24, 0).
Next, we construct a table of values of Z = 2x + 3y for the vertices A, B, C, and D.
We observe that the maximum value of Z is 96, which occurs at the vertex B(8, 20).
Therefore, the maximum value of Z = 2x + 3y, subject to the conditions x ≤ 24, y ≤ 25, and 3x + 2y = 52, is 96.
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Complete each sentence.
1.9 L.= ___?___ qt
The solution of the given fill ups is that 1.9 L is approximately equal to 2.0027088 quarts.
The conversion factor between liters and quarts is 1 liter = 1.05668821 quarts.
Liter is a unit of volume which is used to calculate the volume of a liquid , gases . It is denoted by "L" in upper case and "l" in lower case .
Quarts is a unit to measure the liquid .
As if we compare Quarts and Liter , we can conclude that liter is a little bigger than quarts.
We know that;
1 liter = 1.05668821 quarts.
Now to find for 1.9 L we get ,
\(1.9 L \times 1.05668821\) \(\dfrac{qt}{L}\) = 2.0027088 qt (rounded to the appropriate decimal places)
So, 1.9 L is approximately equal to 2.0027088 quarts.
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tests for tuberculosis. Suppose that for the population of adults that is taking the test; 5% have tuberculosis The test correctly identifies 74.6% of the tlme adults with tuberculosis and correctly identifies those without tuberculosis 76.53% of the time: Suppose that POS stands for the test gives positive result and S means that the adult really has tuberculosis What is the probability of an adult getting NEG result and truly having tuberculosis? A.0.0373 B.0.0127 C.0.2230 D.0,7270
The probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.
Let's use the following notation:
P(TB) represents the probability that an adult has tuberculosis, which is given as 0.05.
P(POS|TB) represents the probability that the test is positive given that an adult has tuberculosis, which is given as 0.746.
P(NEG|TB) represents the probability that the test is negative given that an adult has tuberculosis, which is 1 - P(POS|TB) = 0.254.
We are asked to find the probability of an adult getting a NEG result and truly having tuberculosis, which can be calculated using Bayes' theorem as follows:
P(TB|NEG) = P(NEG|TB) * P(TB) / P(NEG)
We can calculate P(NEG) using the law of total probability, which considers the two possible cases for an adult: having tuberculosis (TB) or not having tuberculosis (TB').
P(NEG) = P(NEG|TB) * P(TB) + P(NEG|TB') * P(TB')
= 0.254 * 0.05 + 0.7653 * 0.95
= 0.7352
Now we can substitute the values into Bayes' theorem:
P(TB|NEG) = 0.254 * 0.05 / 0.7352
= 0.01725
Therefore, the probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.
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How much money is shown? i know the $25 i just dk the change
Answer:
$25.20
Step-by-step explanation:
This is the answer because:
1) 10 + 10 + 5 = 25
2) Next, dimes are equal to 0.10
25 + 0.10 + 0.10 = 25.20
Hope this helps! :D
The function f is differentiable on the closed interval [-6,5]. The graph of f, the derivative of f, consists of a semicircle and three line segments, as shown in the figure below. -6, 2) (3, 2) Graph of f (a) On what intervals is f increasing? Decreasing?
The function increasing on interval [0, 3] and decreasing on the interval [-6, 0] ∪ [3, 5].
What is increasing and decreasing function?
For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.
F is rising on the interval if f′(x) > 0 on an open interval.
F is decreasing on the interval if f′(x) < 0 on an open interval.
We have to find the intervals of increasing and decreasing function from the given graph.
From graph we can see that graph is increasing on the interval [0, 3].
And decreasing on the interval [-6, 0] ∪ [3, 5].
Hence, the function increasing on interval [0, 3] and decreasing on the interval [-6, 0] ∪ [3, 5].
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15 < -5x
Help I need it for khan academny
\(\huge \boxed{\sf x < -3} \\\\\\ \displaystyle \sf 15 < -5x \\\\ Divide\ each\ side\ by\ -5\ and\ switch\ the\ symbol. \\\\ \frac{15}{-5} > \frac{-5x}{-5} \\\\-3 > x\)