Two instructional techniques can be utilized to support and promote mathematical communication:
1. Make the most of class time by encouraging students to assess and compare their own and other students' responses.3. Ensure that you ask for volunteers in class who really are prepared and available.Explain about the mathematical communication?Mathematics and math education both require communication. It is a method for exchanging concepts and making comprehension clear. Ideas become subjects of reflection, improvement, discussion, and modification through communication.
The term "mathematical communication skills" (MCS) refers to -
a student's capacity to convey their clear and logical mathematical thinking to friends, teachers, and other people; organise and link their mathematical ideas through communication;Thus, two instructional techniques can be utilized to support and promote mathematical communication:
Make the most of class time by encouraging students to assess and compare their own and other students' responses.Ensure that you ask for volunteers in class who really are prepared and available.To know more about the mathematical communication, here
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I need the answer for only 1c and explanation of what happens to the numerator.
The solution is, by integrating ∫(3-2x)^10 dx using substitution, we get, -1/22.(3-2x)^11 +C.
What is integration?In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration.
here, we have,
∫(3-2x)^10 dx
now, let, 3-2x=u
so, -2. dx = du
i.e. by substitution we get,
∫u^10 du/-2
=1/-2 . ∫u^10 du
we know, ∫x^n= x^n+1/ (n+1) +c
so, we get,
⇒1/-2.1/11. u^11 +C
=-1/22.(3-2x)^11 +C
where, c=constant.
Hence, The solution is, by integrating ∫(3-2x)^10 dx using substitution, we get, -1/22.(3-2x)^11 +C.
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If f(x) = 2x2 − 3x + 4, then f(x + 3) is equal to
a.
2x2 − 3x + 7
b.
2x2 − 3x + 13
c.
2x2 + 9x + 13
d.
2x2 + 9x + 25
Answer:
B
Step-by-step explanation:
please refer to the sketch for details
PLEASE HELP 20 POINTS
Answer: 3 times 5 minus a number x
Step-by-step explanation:
How many 1 1/2 foot pieces can be cut from a 12 foot length of ribbon. what was diedred’s first error
Answer:11
Step-by-step explanation: yup
Nick divides 527 baseball cards evenly into 17 stacks. How many baseball cards are in each stack? Use the mode
Answer:
31
Step-by-step explanation:
I'm not sure if it's possible to use mode in this equation. To find the number of cards in each stack, you just need to divide 527 by 17 and you'll find your answer.
527/17 = 31
A survey of 300 SPC students was taken at registration. Of those surveyed:
52 students had signed up for a Language Arts course
40 students had signed up for a Humanities course
23 students had signed up for both a Math and Language Arts course
6 students had signed up for both a Math and Humanities course
8 students had signed up for both a Language Arts and Humanities course
3 students had signed up for all three courses
8 students did not sign up for any of these classes
How many students signed up for only Math (of these three)?
243 students signed up for only Math.
What are sets?The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set.
Given A survey of 300 SPC students
let L denote language, H for humanities, and M for maths,
and given, n(L ∪ H ∪ M) = 300
n(L) = 52, students had signed up for a Language Arts course
n(H) = 40, students had signed up for a Humanities course
n(M) = students signed up for only Math
LM = 23, students had signed up for both a Math and Language
MH = 6, students had signed up for both Math and Humanities
LH = 8, students had signed up for both a Language Arts and Humanities
n(LHM) = 3 students had signed up for all three courses
n(LM) = 23 + 3 = 26
n(MH) = 6 +3 = 9
n(LH) = 8 + 3 = 11
8 students did not sign up for any of these classes
using the formula of triple intersection,
n(L ∪ H ∪ M) = n(L) + n(H) + n(M) - n(LM) - n(MH) - n(LH) + n(LHM).
300 - 8 = 52 + 40 + n(M) - 26 - 9 - 11 + 3
n(M) = 292 - 49
n(M) = 243
Hence 243 students signed up for only Math.
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Determine the area of each composite figure. Round to the nearest tenth if necessary.
The area of each composite figure is 828.96 cm².
What is Surface Area?A 3D object's surface area is the entire area that all of its faces cover. For instance, the surface area of a cube is its surface area if we need to determine how much paint is needed to paint it. It is consistently expressed in square units.
Given:
Surface area = SA of Cone + SA of Hemisphere
Cone:
radius = 8 cm
slant height = 17 cm
So, SA of Cone = πrl
= 3.14 x 8 x 17
= 427.04 cm²
Hemisphere:
radius = 8 cm
So, SA of Hemisphere = 2πr²
= 2 x 3.14 x 8 x 8
= 401.92 cm²
Thus, the SA of figure = 427.04 + 401.92 = 828.96 cm²
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AREA The area of the rectangle in the figure is 32xy square units. Find the width of the rectangle. Write any variables in alphabetical order.
8xy
Answer:
[tex]4y^{2}[/tex]
Step-by-step explanation:
A = Area
w = width
l = length
[tex]A=lw[/tex]
in this equation the area is [tex]32xy^{3}[/tex] and the length is [tex]8xy[/tex].
To find the equation we simply have to divide the area ([tex]32xy^{3}[/tex]) by the length ([tex]8xy[/tex]).
[tex]32xy^{3} =(8xy)w[/tex]
When dividing, it's important to remember two things:
A variable divided by itself is oneTo divide a variable by the same variable with a lower exponent we have to subtractUsing these two rules, we divide the common bases (number by number, x by x, y by y):
[tex]\frac{32}{8}=4[/tex]
[tex]\frac{x}{x}=1[/tex]
[tex]\frac{y^{3} }{y}=y^{2}[/tex]
Multiplying all of them together, we find that the width is:
[tex]4y^{2}[/tex]
Wrtie the slope intercept form of the inequality 9x-7y>-7
Answer:
Step-by-step explanation:
9x - 7y > -7
-7y > -9x - 7
y < 9/7x + 1
additive inverse for 10x-1
Answer: -10
Step-by-step explanation:
6. [3 marks ] Answer the question regarding the meaning of the given statement which contains a multiple negation. Stephen failed to avoid spoilers on the new Star Wars movie. Did Stephen see spoilers?
Answer: The statement "Stephen failed to avoid spoilers on the new Star Wars movie" contains a negative phrase "failed to avoid". When a sentence contains a negative phrase, it can sometimes be difficult to determine the meaning. However, in this case, the meaning of the sentence is that Stephen did see spoilers on the new Star Wars movie. The use of "failed to avoid" indicates that Stephen made an effort to avoid spoilers but was unsuccessful, which means that he saw them.
Step-by-step explanation:
Roberto needs 6 feet and 8 inches of lumber to repair the deck. He has 54 inches of lumber. How many more inches of lumber does he need?
Answer:
26 inches, or 2 ft 2 in.
Step-by-step explanation:
1 ft = 12 in.
6 ft 8 in. = 6 ft + 8 in. =
= 6 ft × 12 ft / in. + 8 in.
= 72 in. + 8 in.
= 80 in.
He needs 80 inches.
80 - 54 = 26
Answer 26 inches or 2 ft 2 in.
Answer:
he needs 26 inches
Step-by-step explanation:
A trailer weighs one and one-half tons. There are 200 pounds of hay on
Answer:
3200
Step-by-step explanation:
1 1/2 US tons is 3000 pounds. Add the 200 pounds of hay and you get 3200. Hope this helps.
The values of data measured on this scale can be rank ordered and have meaningful differences between scale points. For this scale, there is also an absolute zero. It is called____________
The values of data measured on this scale can be a number or a name, but they can be rank ordered___________
The values of data measured on this scale can be rank ordered and have meaningful differences between scale points. For this scale, there is also an absolute zero. It is called interval scale.
The values of data measured on this scale can be a number or a name, but they can be rank ordered I'd called Ordinal scale.
Ordinal Scale CharacteristicsThe ordinal scale can be observed with a distinction that shows the order or level of the object being measured based on certain parameters.
The characteristics of the ordinal scale are
Determined based on the number of special characteristics possessed Has zeros which are not absolute Data is logical The data is separated from each other Ordinal scales have a zero that is used to represent a point on the scale, but this zero is not an absolute zero Definition of Interval ScaleInterval scale is a scale that uses fixed intervals in determining categories. So this scale is called an interval scale, this scale has characteristics similar to nominal and ordinal scales, but differs because of the intervals used as a guide.
Interval Scale feature
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Is this true or false?
Answer:
Step-by-step explanation:
you look it up, If that doesn't work, see if someone asked the same question on this, if not, I got nothing.
for which of the following conditions is it not appropriate to assume that the sampling distribution of the sample mean is approximately normal? responses
It is not appropriate to assume that the sampling distribution of the sample mean is approximately normal when the sample size is small and the population distribution is skewed to the right or to the left. So, the options C and D are not appropriate. A and B are appropriate as the sample size is large and the population is normally distributed. E is also appropriate as the sample size is large.
The central limit theorem states that if we have a large enough sample size (typically n >= 30) from any population with a well-defined mean and finite variance, then the distribution of the sample mean approaches a normal distribution with mean equal to the population mean and variance equal to the population variance divided by the sample size.
However, if the population distribution is highly skewed, meaning it is not symmetric, then even a large sample size may not lead to a normal distribution of the sample mean.
In this case, it is not appropriate to assume that the sampling distribution of the sample mean is approximately normal. This is why options C and D are not appropriate as the sample size is large (10 and 75 respectively) but the population distribution is skewed to the right or to the left. On the other hand, options A and B are appropriate as the sample size is large and the population is normally distributed. Option E is also appropriate as the sample size is large, regardless of the shape of the population distribution.
The complete question is given below:
""
For which of the following conditions is it not appropriate to assume that the sampling distribution of the sample mean is approximately normal?
A) A random sample of 8 taken from a normally distributed population.
B) A random sample of 50 taken from a normally distributed population.
C) A random sample of 10 taken from a population distribution that is skewed to the right.
D) A random sample of 75 taken from a population distribution that is skewed to the left.
E) A random sample of 100 taken from a population that is uniform.
"
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true/false. the student knows that the relationship between the spring constant (k), the mass (m), and the period of oscillation (t) is given by the equation (19) this is not a linear equation, but it can be linearized using the same method used to linearize equation 10.
The statement “The relationship between the spring constant (k), the mass (m), and the period of oscillation (t) is given by the equation (19) this is not a linear equation, but it can be linearized using the same method used to linearize equation 10.” is true because equation 19 can indeed be linearized with the same method used to linearize equation 10.
Equation 10 is a non-linear equation and can be linearized by taking the natural logarithm of both sides. This will convert the equation into a linear form which can be used to calculate the parameters of the original equation.
Similarly, equation 19 can be linearized by taking the natural logarithm of both sides. The linearized form of equation 19 will also be useful in finding out the parameters of the original equation.
By linearizing the equations, it becomes easier to solve for the parameters of the equations. This is because linear equations are much simpler and can be solved using basic algebraic methods.
Linear equations can also be solved using matrix methods and can be used to solve for the parameters of the original equations more accurately.
Therefore, it is true that equation 19 can be linearized using the same method used to linearize equation 10. This will make it easier to solve for the parameters of the original equation.
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The graph shows the number of pies produced at a bakery as a function of time.Calculate the rate of change.Explain what the rate of change means in context to the situation.
Answer:
15
Step-by-step explanation:
since the graph is proportional we can divide 30 by 2 we get 15
to double check we will divide 60 by 4 and we also get 15
so 15 pies are produced every hour
The Unit Rate means how much of something per 1 unit of something else. true or flase
Answer:
true
Step-by-step explanation:
A unit rate is a price for one unit of anything. This is written as a ratio with a denominator of one.
which ratio forms a proportion with 8 over 36
Solve for x and graph the solution on the number line below. x+6≥16
Answer:
x≥10
Step-by-step explanation:
Answer:
x ≥ 10
Step-by-step explanation:
To solve for x, we simply have to subtract 6 from both sides.
x + 6 ≥ 16
- 6 - 6
x ≥ 10
Then, we can graph this inequality on the number line.
(See the attached image)
The probability of committing a Type I error ____.
1) cannot be controlled by the experimenter
2) is determined by the level of significance (α, alpha) that one chooses
3) is determined by the sample size that one selects
4) is determined solely by the size of the treatment effect
The experimenter cannot control the probability of a Type I error, but they can control the level of significance they set, and that will determine the probability of making this type of error.
The probability of committing a Type I error is determined by the level of significance (α, alpha) that one chooses. This is because the level of significance is the probability of rejecting the null hypothesis when it is actually true. In other words, the level of significance is the probability of making a Type I error (falsely rejecting the null hypothesis). For example, if the level of significance is set to 0.05, then the probability of making a Type I error is 0.05. This can be expressed mathematically as: P(Type I Error) = α. Therefore, the experimenter cannot control the probability of a Type I error, but they can control the level of significance they set, and that will the probability of making this type of error.
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Select the correct answer. Sides of three square rooms measure 14 feet each, and sides of two square rooms measure 17 feet each. Which expression shows the total area of these five rooms? A. (3 × 14^2) + (2 × 17^2) B. (2 × 14^3) + (2 × 17^2) C. (3 × 17^2) + (2 × 14^2) D. (3 × 14^2) × (2 × 17^2)
The total area of the given 5 square rooms is (3×14²)+(2×17²). Therefore, option A is the correct answer.
Describe area.The area of a thing is the amount of space it occupies in two dimensions. It is the measurement of the quantity of metric squares that completely cover the entire surface of an enclosed figure. The square unit, which is frequently expressed as square inches, sq.ft, etc., is the accepted unit of area.
What in math is area?Area is the entire amount of space occupied by a plain (2-D) surface or an object's form. The area of a planar figure is the area that its perimeter encloses. The quantity of unit triangles that cover a closed figure's surface is its area. Area is measured in units like mm in diameter and m2.
Given that, sides of three square rooms measure 14 feet each, and sides of two square rooms measure 17 feet each.
We know that, area of square =a², where a is the side of square
Now, area of a square room with side 14 feet
= 14² square feet
The area of 3 square room with sides 14 feet
= 3×14² square feet
The area of a square room with side 17 feet
= 17² square feet
The area of 2 square room with sides 17 feet
= 2×17² square feet
So, total area of these five rooms
= (3×14²)+(2×17²) square feet
The total area is (3×14²)+(2×17²). Therefore, option A is the correct answer.
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83 cmp cut from 1.3 metres 1.3metres
The remaining length when 85 cm is cut from 1.3 meters is 0.45 meters.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
We know, 1.3 meters = 1.3×100 cm = 130 cm.
Now, 83 cm is cut from it.
Therefore, The remaining length is,
= (130 - 85) cm.
= 45 cm.
And 45 cm is equal to (45/100) meters.
= 0.45 meters.
Q. 83 cm is cut from 1.3 meters what would the remaining length in meters?
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consider the expression\[x^2 \boxed{\phantom{00}}x 100.\] find all possible values for the missing number that make this expression the square of a binomial.
The missing number must make the expression a perfect square trinomial in the form [tex](a + b)^2[/tex].
This means that the missing number must be equal to the product of the two factors outside the parentheses, minus the square of the number inside the parentheses.
In this case, the missing number must be equal to [tex]100x^2 - x^2, or 99x^2[/tex].
Using the FOIL method (First, Outer, Inner, Last), we can expand [tex](x + x)^2 to get x^2 + 2x^2 + x^2[/tex]. Since the expression we are working with is [tex]100x^2 + 2x^2 + x^2[/tex], the missing number is [tex]99x^2[/tex].
Therefore, the missing number that makes this expression the square of a binomial is [tex]99x^2[/tex].The missing number must make the expression a perfect square trinomial in the form [tex](a + b)^2[/tex].
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Select the equation and solution for the number of weeks, x, it takes her to have $150 left to pay. -18.75x + 600 = 150 Clarissa's sister will have $150 left to pay after 24 weeks. 18.75x − 150 = 600 Clarissa's sister will have $150 left to pay after 8 weeks. 18.75x − 600 = 150 Clarissa's sister will have $150 left to pay after 8 weeks. -18.75x + 150 = 600 Clarissa's sister will have $150 left to pay after 24 weeks.
Clarissa's sister will have $150 left to pay after 24 weeks.
What is a function?An function in mathematics defines a relationship between one variable (the independent variable, x) and another variable (the dependent variable, y). Example -
y = f{x} = ax + b
Given is the equation as -
- 18.75x + 600 = 150
The given equation is -
- 18.75x + 600 = 150
- 18.75x = - 450
x = (450/18.75)
x = 24 weeks
Therefore, Clarissa's sister will have $150 left to pay after 24 weeks.
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Suppose the average yearly salary of an individual whose final degree is a master's is $43 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $110 thousand. Find the average yearly salary of an individual with each of these final degrees.
The average yearly salary of an individual with each of these final degrees is $22333 and $16666.6.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form
Ax + B = 0.
Given;
The average yearly salary of an individual whose final degree is a master's is $43000 less than twice that of an individual whose final degree is a bachelor's.
Combined, two people with each of these educational attainments earn $110 thousand.
Now, let the salary of bachelors be x
Then salary of masters= 2x-43000
x+2x-43000=110000
3x=67000
x=22333.33
2x-43000=16666.66
Therefore, by solving equations answer will be $22333 and $16666.6.
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The dotplot below displays the number of math classes taken by a random sample of 35 students at a high school.
A dotplot titled Math Classes. A number line going from 2 to 6 is labeled number of math classes taken. 2, 1; 3, 6; 4, 18; 5, 7; 6, 1.
Which letter represents the approximate location of the mean number of math classes?
A. A
B. B
C. C
D. D
Answer:
Class B
Step-by-step explanation:
duh
Answer:
b
Step-by-step explanation:
Answer this question Please
(70 points)
A 130
The red line meets the measuring tool at 155 and 25 therefore we get:
155-25 = 130
Draw The Congruence markings on ΔXYZ, so that ΔABC≅ΔXYZ by ASA
Angle B is equal to angle Y and angle A is equal to angle X. And AB is equal to side XY.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔABC is congruent to the triangle ΔXYZ.
In triangles ΔABC and ΔXYZ, then we have
∠B = ∠Y (Corresponding angles)
∠A = ∠X (Corresponding angles)
AB = XY (Common side)
Angle B is equal to angle Y and angle A is equal to angle X. And AB is equal to side XY.
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