What is the product of −412 and 212 ? Enter your answer as a mixed number, in simplified form, in the box.
factor by grouping: 12x^3-20x+3x-5
If you subtract twelve from twice a number, the result is eight. what is the number?
If the area of a square is 49 square inches, how long must each side be?
Which expression is equal to (-12-2i)+(2+2i)
a) 10
b) -10
c) 10-4i
d)-10-4i
Suppose you need to buy fabric to make costumes for a school play. The budget is $16 for each costume.
You need 12 costumes made from brown fabric. Each brown costume needs 3.25 yards of fabric. You need 8 costumes made from red fabric. Each red costume needs 3.5 yards of fabric.
You have gotten prices from two stores.
Store A: Brown fabric is $4.25 per yard. Red fabric is $4.75 per yard. On any purchase over $40, you will receive a $10 coupon for your next purchase. This store is 5 miles from school.
Store B: Both fabrics are $4.50 per yard. This store is walking distance from school.
What is the maximum budget for the fabric?
How can the pythagorean theorem be used to classify acute, right, and obtuse triangles?
A ship is carrying 10,250 pounds of individually boxed TV sets. If each box weighs 20.5 pounds, how many boxes are on the ship?
divide total weight by weight of each box
10250 / 20.5 = 500 boxes total
the proportion of the perimeter of two similar polygons is blank the proportion of any pair of corresponding side lengths
A. greater than
B. equal to
C. less than
D. variable to
3y - 5z = -23
4x +2y +3z = 7
-2x - y - z = -3
In your answer, can you please show work so that I can understand it myself
Look at the figure. If doing a two-column proof, what will be the very last statement?
Question 1 options:
X = 15
MN¯¯¯¯¯¯¯ = RS¯¯¯¯¯
Division Property of Equality
3x+3 = 5x-27
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find the sum of the first 30 terms of the equation below: an=4n+1
Answer:
1,890 is the sum of the first 30 terms of the equation .
Step-by-step explanation:
[tex]a_n=4n+1[/tex]
if , n = 1
[tex]a_1=4\times 1+1=5[/tex]
If, n = 2
[tex]a_2=4\times 2+1=9[/tex]
If, n = 3
[tex]a_3=4\times 3+1=13[/tex]
The arithmetic sequence comes out to be:
5, 9, 13........
a = 5
d = [tex]a_2=a_1=9-5=4[/tex]
The sum of first 30 terms is given by:
[tex]S_n=\frac{n}{2}\times (2a+(n-1)d)[/tex]
[tex]S_{30}=\frac{30}{2}\times (2\times 5+(30-1)\times 4)[/tex]
[tex]S_{30}=1,890[/tex]
1,890 is the sum of the first 30 terms of the equation .
A pair of shoes costs $25 to make. This means that you need to charge a price of at least ___ just to cover your cost.
Answer: $25
Step-by-step explanation: you are not trying to make a profit. You are just trying to cover your cost and they cost $25 to make.
Rectangle ABCD is transformed to AB’C’D’ by a dilation .What is the scale factor used for the dilation ?
Answer: The required scale factor that is used for the dilation is 3.
Step-by-step explanation: Given that the rectangle ABCD is transformed to A'B'C'D' by a dilation.
We are to find the scale factor that is used for the dilation.
We know that
the scale factor of dilation is defined as
[tex]S=\dfrac{\textup{the length of a side of the dilated figure}}{\textup{the length of the corresponding side of the original figure}}.[/tex]
From the graph, we see that
in rectangle ABCD, the length the side AB is 2 units
and
the length of the corresponding side A'B' in the dilated rectangle A'B'C'D' is 6 units.
Therefore, the scale factor of dilation is given by
[tex]S=\dfrac{A'B'}{AB}=\dfrac{6}{2}=3.[/tex]
Thus, the required scale factor that is used for the dilation is 3.
Please help me thank you.
If Juan paid $21.30 for 7.1 pounds of salmon, what was the price of 1 pound of salmon?
Write the base of −(−6)^5.
The probability that an event will occur is 100%. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer: Certain
Step-by-step explanation:
A probability is from 0 - 1, if not 0 or 1 it is a fraction, percentage, or decimal. 100% also equal to 1 is the highest amount you can get, therefore the answer is certain.
F(x) = |x − 1| find the derivative from the left at x = 1. if it does not exist, enter none.
Which of the following points is a solution of the inequality y < -|x|?
a. (1,-2)
b. (1,-1)
c. (1,0)
None of the given points is the solution to the inequality y < -|x|.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given inequality,
y < -|x|
As per the given below, the dotted line is not included in the region thus, point (1,-1) is not included.
Hence "None of the given points is the solution to the inequality y < -|x|".
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A symmetrical binomial distribution with large sample size can be approximated by a __________
solve the inequality
6n-3 > -18
a. n > -2.5
b. n > -3.5
c. n < -2.5
d. n > 2
The diameter of a small gear is 16 cm this is 2.5 more than 1/4 of the diameter of a larger gear ehat is the diameter of the larger gear
How to Graph y=4/5x-7
To graph the equation y = 4/5x - 7, plot the y-intercept at -7 and use the slope to find a second point before drawing a line through the two points.
Explanation:To graph the equation y = 4/5x - 7, follow these steps:
Start by plotting the y-intercept at -7 on the y-axis.Use the slope 4/5 to find a second point by moving up 4 units and to the right 5 units. Plot this point.Draw a straight line through these two points to represent the graph of y = 4/5x - 7.Which type of statement has the form " if A, then B"?
Answer: Conditional statement
Step-by-step explanation:
In discrete mathematics, a conditional statement denoted by "if R then S " is an if-then statement where R represents a hypothesis and S represents a conclusion.
For example : If a number is divisible by 6 ,then it must be divisible by 2 ."
Here, Hypothesis R: " number is divisible by 6"
Conclusion S: "it must be divisible by 2"
Hence, an conditional statement has the form " if A, then B" .
How many numbers are divisible by 100 between 1 and 6296?
Which line is parallel to a line that has a slope of 3 and a y-intercept at (0, 0)?
line AB
line CD
line FG
line HJ
Answer:
line HJ
Step-by-step explanation:
we know that
The equation of the line that has a slope of [tex]3[/tex] and a y-intercept at [tex](0, 0)[/tex] is equal to
[tex]y=3x[/tex] -----> is a proportional relationship
Remember that
If two lines are parallel , then their slopes are the same
Find the slope of the line HJ
[tex]H(-1,-4), J(1,2)[/tex]
The formula to calculate the slope between two points is equal to
[tex]m=\frac{2+4}{1+1}[/tex]
[tex]m=\frac{6}{2}[/tex]
[tex]m=3[/tex]
therefore
The line HJ is parallel to the line [tex]y=3x[/tex]
Solve the equation
9|9-8x|=2x+3 show work.
To solve the equation 9|9-8x|=2x+3, follow these steps: remove the absolute value by considering both positive and negative cases, combine like terms, solve for x, and simplify the solutions.
Explanation:To solve the equation 9|9-8x|=2x+3, we need to isolate the variable x. Let's start by removing the absolute value by considering both positive and negative cases.
Case 1: Positive
9-8x = 2x+3
Combine like terms: -8x - 2x = 3 - 9
-10x = -6
Divide both sides by -10: x = -6/-10
Simplify: x = 0.6
Case 2: Negative
-(9-8x) = 2x+3
Distribute the negative sign: -9+8x = 2x+3
Combine like terms: 8x - 2x = 3 + 9
6x = 12
Divide both sides by 6: x = 12/6
Simplify: x = 2
Therefore, the solutions to the equation are x = 0.6 and x = 2.
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Factor this polynomial expression. 2x2 + 12x + 18
Answer: 2(x+3)(x+3)
i just took the test
Explain two ways to find the volume of a plastic cube.
V=a^3 and volume=Length × Width × Height are the two ways to calculate the volume of cube.
What is three dimensional geometry?Three-dimensional space is a geometric setting in which three values are required to determine the position of an element.
A cube is a three-dimensional figure with 6 faces, 8 vertices and 12 edges.
In a cube all the sides are equal like a square.
So the volume of cube can be measured by
V=a^3
where a is the measure of a side.
And the volume of cube can also be found by
volume=Length × Width × Height
Hence V=a^3 and volume=Length × Width × Height are the two ways to calculate the volume of cube.
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