Answer: 132 cubic cm
Step-by-step explanation: 6 x 5 x 3= 90 + 42
What is the slope of the line passing through points (4, 6) and (2, 4)? A. 3 B. 6 C. 4 D. 2 E. 1
Answer: E. 1
Explanation: The slope (m) of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
We can use this formula to find the slope of the line passing through points (4, 6) and (2, 4):
m = (y2 - y1) / (x2 - x1)
m = (4 - 6) / (2 - 4)
m = -2 / -2
m = 1
The slope of the line passing through points (4, 6) and (2, 4) is 1.
The answer is E) 1.
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Place value of 4 in 265 473
Answer:
The place value of 4 in 265 473 is 40,000
Answer:
Step-by-step explanation:
Order:
3 is in the ones place and has a value of 3
7 is in the tens place and has a value of 70
4 is in the hundreds place and has a value of 400
5 is in the thousands place and has a value of 5000
6 is in the ten thousands place and has a value of 60,000
2 is in the hundred thousands place and has a value of 200,000
A scientist has 68 lbs of a material. In 40 years , there is 63.3 lbs left. How much will be there be left in 200 years?
Evaluating the exponential decay we can see that 200 years, there will be 47.43 pounds left of the material.
How much will be there be left in 200 years?A general exponential decay is:
f(x) = A*(b)^x
Where A is the initial value, b is the rate of decay, x is the variable.
We know that we start with 68 pounds, and after 40 years there are 63.3 pounds left, so we have an exponential decay:
63.3 = 68*(b)^40
Where b defines how it decays, we can solve that equation for b to get:
(63.3/68)^(1/40) = b
0.9982 = b
Then the decay is:
f(x) = 68*(0.9982)^x
The amount left after 200 years will be:
f(200) = 68*(0.9982)^200 = 47.43
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Two step for T+4=-7 ?
Answer:
Step-by-step explanation:
T+4 = -7
T = -7 -4
T = -11
Someone help please! I’m taking a test and just need some assistance
Answer: Given b=2√14 and c=9,
a = 5
Step-by-step explanation:
I don’t understand my head actually hurts from this
Answer:
AB = 90° , AC = BC = 135°
Step-by-step explanation:
the arc AB is equal to the measure of the central angle it subtends, then
AB = 90°
the sum of the arcs in a circle = 360° , then since AC and BC are congruent
AB + AC + BC = 360° ( since AC = BC ), then
90° + 2AC = 360° ( subtract 90° from both sides )
subtract 90° from both sides
2AC = 270° ( divide both sides by 2 )
AC = 135°
since AC = BC , then
AC = BC = 135°
Please help! Show your work.
The value of the variable x in the equation 6 / -4.5 = 8 / 4x is - 3 / 2.
How to solve equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Therefore, let's solve the equation.
The variable in the equation is x . A variable is a number represented with letter in an equation.
Therefore,
6 / -4.5 = 8 / 4x
cross multiply
6(4x) = -4.5(8)
24x = - 36
divide both sides of the equation by 24
Therefore,
x = -36 / 24
x = - 3 / 2
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a ball leaves a bat in a horizontal direction from a height of 0.39 m above the ground. the speed of the ball is 35ms-1. the ball takes 0.28 seconds to reach the ground again. what is the horizontal distance the ball has travelled?
The horizontal distance the ball travelled is 2.73 m.
What is a projectile?A projectile is any object that is moving in space under the influence of gravity and its momentum. The horizontal distance covered by a projectile from its point of projection is called range. It can be determined by;
R = U[tex]\sqrt{\frac{2H}{g} }[/tex]
where u is the initial speed of the object, H is the height of projection and g is the gravitational constant.
So that in the information given, we can determine the range as;
R = U[tex]\sqrt{\frac{2H}{g} }[/tex]
= 35[tex]\sqrt{\frac{2*0.39}{10} }[/tex]
= 35*0.078
= 2.73
R = 2.73 m
The horizontal distance the ball has travelled is 2.73 m.
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Need help don’t get it
Answer:
[tex] \frac{210}{360} = \frac{7}{12} [/tex]
This figure represents 7/12 of the circle.
someone pls help me asapppp
Answer:
[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] : a₁ = 7
Step-by-step explanation:
a recursive formula allows a term in the sequence to be found from the preceding term.
the sequence here has a common ratio between consecutive terms
[tex]\frac{21}{7}[/tex] = [tex]\frac{63}{21}[/tex] = 3
thus to find a term in the sequence multiply the previous term by 3, that is
[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] : first term a₁ = 7
Maggie bought 50 lbs of clay for her art projects. She used 15.6 lbs to make a sculpture, and 0.84 lbs for each mug. How many mugs did Maggie make if she had 19.28 lbs of clay left over? Solve on paper. Then check your work on Zearn.
The number of mugs that Maggie made with the left over clay that she had would be = 23 mugs
How to calculate the quantity of mug made by Maggie?The total quantity of clay that Maggie bought = 50lbs
The quantity she used for sculpture = 15.6lbs
The quantity of clay she used for mug = 0.84 lbs
The quantity of clay left = 19.28 lbs
If 0.84 = 1 mug
19.28 = X
make X the subject of formula:
X = 19.28/0.84
= 23 mugs
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In a class of 50 students, they had a chance to read novel,comics and textbook 21 read novel,24 read comics and 18 read textbook 3 read only novel 9 read only comics and 2 read only textbook 5 read all the 3. illustrate your information on a venn diagram. use your diagram to find the number of students who read a. comics and novel only b. textbook and novel only c. none of the 3
Answer:
Here is a Venn diagram that illustrates the information:
```
___________
| |
| N |
|_____ ____|
|\ || /|
| \ || / |
| \ || / |
| \ || / |
| C \||/ T |
|_____\v/____|
A
```
In the diagram, N represents the set of students who read the novel, C represents the set of students who read the comics, and T represents the set of students who read the textbook. The region labeled A represents the set of students who read all three.
Using the Venn diagram, we can find the number of students who read:
a. comics and novel only: This corresponds to the region of the diagram that is exclusively shaded with the circles for comics and novel, but not for textbook. This region has 9 students.
b. textbook and novel only: This corresponds to the region of the diagram that is exclusively shaded with the circles for textbook and novel, but not for comics. This region has 1 student.
c. none of the 3: This corresponds to the region of the diagram that is outside of all three circles. This region has 13 students.
Therefore, the number of students who read a. comics and novel only is 9, b. textbook and novel only is 1, and c. none of the 3 is 13. Answer: a. 9, b. 1, c. 13.
suppose that a population parameter is .7 and many samples were taken. if the size of each sample is 30 what is the standard error
The standard error is 0.0912.
The standard error (SE) is a measure of the precision of the sample mean estimate compared to the true population mean. To calculate the SE, we use the formula SE = standard deviation / square root of sample size.
In this scenario, the population parameter is 0.7, and the sample size is 30. If we assume that the sample mean is an unbiased estimator of the population mean, then the SE can be calculated using the above formula. However, we do not know the standard deviation of the population, so we use the sample standard deviation as an estimate.
Assuming the sample is large enough to assume normality, the formula becomes SE = [tex]\sqrt{(0.7*0.3)/30}[/tex] = 0.0912. Therefore, the standard error for a sample size of 30 is 0.0912. This means that if we were to take multiple samples of size 30 from the same population, the standard deviation of the means of those samples would be around 0.0912 away from the population parameter of 0.7 on average.
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10% of ivy tech students are dual credit students. If there are 13,129 dual credit students, how many Ivy Tech students are there?
Answer:131290
Step-by-step explanation:13129*100/10=131290
6. The following are the costing records for the year 2020 of a manufacturer: Production 1,000 units, Cost of raw materials Rs,20,000, Labour cost Rs.12,000, Factory overheads Rs.8,000, Office overheads Rs.4,000, Selling expenses Rs.1,000, Rate of profit 25% on the selling price. The manufacturer decided to produce 1,500 units in 2021. It is estimated that the cost of raw materials will increase by 20%, the labour cost will increase by 10%, 50% of the overhead charges are fixed and the other 50% are variable. The selling expenses per unit will be reduced by 20%. The rate of profit will remain the same. Prepare a cost statement for the year 2021 showing the total profit and selling price per unit.
Answer:
Here's a cost statement for the year 2021:
Production of 1,500 units
Cost of raw materials = Rs. (20,000 x 1.2) = Rs. 24,000
Labour cost = Rs. (12,000 x 1.1) = Rs. 13,200
Fixed overheads = Rs. (8,000/2) = Rs. 4,000
Variable overheads = Rs. (8,000/2 x 1.5) = Rs. 6,000
Office overheads = Rs. 4,000
Selling expenses per unit = Rs. (1,000 x 0.8 / 1,500) = Rs. 0.53
Total cost per unit = Rs. (24,000 + 13,200 + 4,000 + 6,000 + 4,000) / 1,500 = Rs. 28.80
Profit = 25% of selling price
Selling price per unit = (28.80 / (1 - 0.25)) = Rs. 38.40
Total profit = (1,500 x 38.40 x 0.25) = Rs. 14,400
Therefore, the cost statement for the year 2021 shows a total profit of Rs. 14,400 and a selling price per unit of Rs. 38.40.
Solve for x. Please show all the work. Thank you.
[tex]\frac{5}{25} = \frac{9}{x +4}[/tex] when simplified, the value of x = 41
What is an Equation?Equation is a mathematical statement that is made up of two expressions connected by an equal value.It says that two things are equal and it expresses equality of two mathematical expressions.
How to determine this
[tex]\frac{5}{25} = \frac{9}{x +4}[/tex]
To find the value of x,
By cross multiplying
5(x+4) = 9(25)
Open bracket
5x + 20 = 225
Collect like terms
5x = 225 - 20
5x = 205
Divides through by 5
5x/5 = 205/5
x = 205/5
x = 41
Therefore, the value of x = 41
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What is the domain of the function shown on the graph?
Answer:
A
Step-by-step explanation:
the domain is the values of x covered by the graph
on the left the graph → - ∞
on the right the graph tends to + ∞
there are no excluded values of x on the domain , so
domain is - ∞ < x < ∞
Help me… it’s so hard!
The solution of the each given equations:
(1) x = 9
(2) x = -2
(3) x = -2
(4) x = 26
(5) x = 3/5
(6) x = 13/12
(7) x = 15
(8) x = 26
(9) x = 7/3
(10) x = 5/8
We have to solve this given equation in on variable.
(1) Given equation is,
x - 7 = 2
x = 2 + 7 = 9
Hence, the solution is, x = 9
(2) Given equation is,
3x + 4 = -2
3x = -2 -4
3x = -6
x = -6/3 = -2
Hence, the solution is, x = -2
(3) Given equation is,
2x + 7 = x + 5
2x - x = 5 - 7
x = -2
Hence, the solution is, x = -2
(4) Given equation is,
x/2 = 13
x = 2*13 = 26
Hence, the solution is, x = 26
(5) Given equation is,
5(2 + x) = 13
10 + 5x = 13
5x = 13 - 10
5x = 3
x = 3/5
Hence, the solution is, x = 3/5
(6) Given equation is,
6(2x - 1) = 7
12x - 6 = 7
12x = 7 + 6 = 13
x = 13/12
Hence, the solution is, x = 13/12
(7) Given equation is,
2x/5 = 6
2x = 6*5 = 30
x = 30/2 = 15
Hence, the solution is, x = 15
(8) Given equation is,
x/2 = 13
x = 2*13 = 26
Hence, the solution is, x = 26
(9) Given equation is,
(x - 1)3 = 4
3x - 3 = 4
3x = 4 + 3 = 7
x = 7/3
Hence, the solution is, x = 7/3
(10) Given equation is,
(2x - 1)4 = 1
8x - 4 = 1
8x = 1 + 4
8x = 5
x = 5/8
Hence, the solution is, x = 5/8
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A poll showed that 53.2% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life. Round to 3 decimal places.
The probability that a statistics teachers do not know the true meaning of life is 46.8%
What is the probability of someone who does not believeFrom the question, we have the following parameters that can be used in our computation:
53.2% of Americans say they believe that statistics teachers know the true meaning of life.
This means that
P(Believe) = 53.2%
For the required probability, we have
P(Not believe) = 1 - P(Believe)
So, we have
P(Not believe) = 1 - 53.2%
Evaluate
P(Not believe) = 46.8%
Hence, the probability that a statistics teachers do not know the true meaning of life is 46.8%
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Which of the following points are on the line given by the equation y = x? Check all that apply. A. (3, 6) B. (4, 2) C. (3, 15) D. (-2, 1) E. (2, 1) F. (-2, -1)
Answer:
The points that are on the line given by the equation y = x are:
A. (3, 3)
B. (2, 2)
D. (-1, -1)
E. (1, 1)
To check if a point is on the line, you can substitute its coordinates into the equation and see if the equation is true. For example, for point (3, 6), we have:
y = x
6 = 3
This is not true, so the point (3, 6) is not on the line. Repeat this process for each point to determine which points are on the line.
PLEASE HURRY!!!
Write the expression using only positive exponents. Assume no denominator equals zero.
(−3^4 ^−7)^−3
The given expression ((−3⁴)⁻⁷)⁻³ using only positive exponents is equal to (-3)⁻⁸⁴.
To write the expression ((−3⁴)⁻⁷)⁻³ using only positive exponents, we can apply the rule of exponentiation that states that a negative exponent can be converted to a positive exponent by moving the base to the denominator and changing the sign of the exponent.
In this case, we have a negative exponent raised to another negative exponent, so we need to apply this rule twice.
First, we can rewrite the expression as:
((-3⁴)⁻⁷)⁻³ = (-3⁴)⁷³
Next, we can apply the rule of negative exponent to obtain:
(-3⁴)⁷³ = (1/(-3⁴))⁻²¹
Finally, we can simplify the expression by moving the negative exponent to the numerator, changing the sign of the exponent and using the power rule of exponents to get:
(1/(-3⁴))⁻²¹ = (-3⁻⁴)²¹ = (-3)⁻⁸⁴
In conclusion, we can convert a negative exponent to a positive exponent by moving the base to the denominator and changing the sign of the exponent. We can use this rule multiple times to simplify expressions with negative exponents.
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Find the rank of the matrix [
2 − 1 − 3 − 1
1 2 3 − 1
1 0 1 1
0 1 1 − 1
]
The rank of the matrix is 3, since there are three linearly independent rows.
The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.
To find the rank of the matrix:
[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]
We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.
[tex]R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2[/tex]
This gives us the following matrix:
[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]
We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.
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I need help please !!
Answer:A,D
Step-by-step explanation:
y = [5.3, 27]
x= [-1,3]
find the mean of brothers and sisters
The mean of brothers and sisters = 3
From the attached data set of brothers and sisters we can write the data values (frequency) as:
1, 5, 4, 2
We need to find the mean of brothers and sisters,
We know that the formula for the mean of data.
mean([tex]\bar{x}[/tex]) = sum of all data values / total number of data values
First we find the sum of all data values.
1 + 5 + 4 + 2 = 12
and the total number of data values = 4
Using above formula of mean,
mean([tex]\bar{x}[/tex]) = sum of all data values / total number of data values
mean([tex]\bar{x}[/tex]) = 12 / 4
mean([tex]\bar{x}[/tex]) = 3
Therefore, the required mean is: 3
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Find the complete question below.
themba has 6.75 cups of yogurt and needs to make 5 bowls of fruit dip. each bowl uses 1.5 cups of yogurt
complete the statements about the fruit dip
Answer: Themba needs a total of 7.5 cups of yogurt to make 5 bowls of fruit dip, so 0.75 cup(s) will be needed
Step-by-step explanation:
your welcome.
What is the main idea of beauty algebra? 
Answer:
Beauty algebra is not a recognized term or concept within the field of mathematics. Therefore, there is no main idea associated with it in mathematical context. It is possible that the term is used in a different context or field, but without additional information, it is not possible to provide a more accurate answer.
the area of a circle is 2464 cm². Calculate the diameters to 2 significant figure
Answer:
56 cm
Step-by-step explanation:
have a good day God bless :)
What are the domain and range of the function f(x)=-x+3-2? domain: -3 -2 domain: -3 -3 range: y<-2 domain: x>-3 range:y>-2
For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.
The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.
The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).
The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.
So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.
Correct option is D.
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Complete question is:
What are the domain and range of the function f(x)=-x+3-2?
A) domain: -3 -2
B) domain: -3 -3 range: y<-2
C) domain: x>-3 range:y>-2
D) domain : x>-3 range: y ≤ 2
Which of the following is the inverse of G(t) if G(t) = 7(t - 4)?
G^-1(t)=t/7+4
G^1(t)=7t-4
G^-1(t)=t/7-4
G^-1(t)=7(t+4)
Answer:
G^-1(t)=t/7+4
Step-by-step explanation:
G(t) = 7(t - 4)
y = 7(x - 4)
x = 7(y - 4)
x/7 = y - 4
y = x/7 + 4
G^-1(t) = t/7 + 4
Answer: G^-1(t)=t/7+4
Find a quadratic equation which has solutions x=9+9square root of 13and x=9-9square roof of 13. Write the quadratic form in the simplest standard form x^2+bx+c
We can write the quadratic in standard form as:
y = x² -18x - 1053
How to find the quadratic equation?For a quadratic equation whose solutions are:
x = x₁
x = x₂
We can write it as:
y = (x - x₁)*(x - x₂)
Here the solutions are:
x = 9 + 9√13
x = 9 - 9√13
Then we can write the quadratic as:
y = (x - 9 - 9√13)*(x - 9 + 9√13)
Expanding that:
y = x² -18x - 81*13
y = x² -18x - 1053
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