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Work Shown:
A+B = 180 since the angles are supplementary
(2x-9)+(2x+21) = 180
4x+12 = 180
4x = 180-12
4x = 168
x = 168/4
x = 42
Then,
A = 2x-9 = 2*42-9 = 75 degreesB = 2x+21 = 2*42+21 = 105 degreesAs a check, A+B = 75+105 = 180 to confirm the answer.
What can you conclude from the results of (a), (b), and (c)? a. when each entry is multiplied by a constant k, the sample mean and the sample standard deviation remain unaffected.
It is true that the sample mean and the sample standard deviation remain unaffected.
What is mean ?Mean is the average of the given data.
According to the given question when each entry is multiplied by a constant k each term will k times of the previous term.
Suppose we have 3 terms x, y, z.We know that their mean will the middle term as there are odd number of terms which is y.
Now if we multiply each term by a constant k the terms will be kx, ky, kz and the middle term is ky.
As each term is multiplied by k we have divide by k which is
= ky/k
= y.
So from both the results we can observe that the mean and the standard deviation remains same.
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Three more than twice a number is less than negative thirteen. Solve the inequality for the unknown number.
Answer:
Step-by-step explanation:
The number = x
Three more than the number = x + 3
twice the number = 2x
which means:
2x + 3 < -13
2x + 3 -3 < -13 -3 (subtract 3 from both sides)
2x < -16
2x/2 < -16/2 (divide 2 from both sides)
x < -8
9 times the sum of 9b and 2
Answer:
9(9b+2)
Step-by-step explanation:
The words 'the sum of mean parenthesis.
And so 9 would be outside the parenthesis, then 9b and 2 would be inside.
Melissa bought some books. She spent a total of $58 after a discount of $8 off of her total purchase. Each book cost $6. How many books did she buy?
Suppose that a system of seven equations with thirteen unknowns corresponds to a matrix in row echelon form. what is the largest possible number of pivots for this matrix?
For a system of seven equations with thirteen unknowns corresponds to a matrix in row echelon form. The largest possible number of pivots for this matrix is 7.
What is row echelon form and pivots?Using a technique known as Gaussian elimination, any matrix can be converted to reduced row echelon form. This is especially useful for solving linear equation systems.
If a matrix has the following properties, it is in Row Echelon form:
The bottom of the matrix contains any row that is entirely made up of zeros.The first non-zero entry in each row which does not encompass entirely zeros is 1. (called a leading 1).The leading 1 in the higher row is even further left than the leading 1 in the lower row for two consecutive (non-zero) rows.Pivoting is the process of transferring the first matrix to the second matrix utilizing row operations similar to equations.
The matrix "A" has three columns. As a result, there can only be three pivots, implying that at least one row of "A" in echelon type must be zero.
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The equation the quantity 2x minus 20 divided by 3 = 2x models temperature change, where x represents the difference in degrees in the last 24 hours. Solve for x. x = −5 x = −2 x = 2 x = 13
WILL MARK BRAINLIEST
The solution to the equation is x = -5
How to determine the value of x?The equation is given as:
the quantity 2x minus 20 divided by 3 = 2x
Rewrite properly as
(2x - 20)/3 = 2x
Multiply through by 3
2x - 20 = 6x
Collect like terms
6x - 2x = -20
This gives
4x = -20
Divide by 4
x = -5
Hence, the solution to the equation is x = -5
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Answer:
other dude is correct cuh
Step-by-step explanation:
Which expression is equivalent to (m8n4)4? Options:
m^12n^8
m^4n
m^2n
m^32n^16
Answer:
[tex] = { \tt{ {( {m}^{8} {n}^{4}) }^{4} }} \\ = { \tt{ {m}^{(8 \times 4)} \times {n}^{(4 \times 4)} }} \\ = { \boxed{ \boxed{ \tt{ {m}^{32} {n}^{16} }}}}[/tex]
The ratio of boys to girls in the entire 7th grade is 7 to 8. Given this ratio, which two class compositions are possible?
A. 40 boys; 35 girls
B. 48 boys; 42 girls
C. 56 boys; 64 girls
D. 67 boys; 68 girls
E. 84 boys; 96 girls
Answer: c and e are correct answer.
Step-by-step explanation:
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. ages of children: 5, 6, 7, 8, and 9
There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.
In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.
A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.
So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.
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There is a step missing from the equation below. Which equation is the missing step
Answer: 25=0.011x+13
George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 and one-third cm. Which statement explains which phone has the wider screen?
Answer:
Step-by-step explanation:
Screen B is wider
how many terms are in 7w +2g+3 + 8w
Answer: 4! Terms are numbers with letters, letters, or simple numbers in an equation! Hope this helps!
Answer:
4
Step-by-step explanation:
The numbers count as terms, but anything else doesn't
Consider sets a = { x | x is a prime number less than 7} and b = { y | y is perfect square of an integer and y is less than 29}. what is the cardinality of the cartesian product of a and b ?
The cardinality of the cartesian product of A and B is 18.
Cartesian Product of two sets A and B is defined as the set of all ordered pairs (a,b) where a∈A & b∈B.
Cardinality of a set is defined as the number of elements in that particular set.
For example, for a set A={2,6,4} , the cardinality is 3.
Given set A= { x | x is a prime number less than 7}
A={2,3,5}
set B = { y | y is perfect square of an integer and y is less than 29}
B={0,1,4,9,16,25}
The cartesian product of A and B denoted by AxB will be
AxB={(2,0),(2,1),(2,4),(2,9),(2,16),(2,25),(3,0),(3,1),(3,4),(3,9),(3,16),(3,25),(5,0),(5,1),(5,4),(5,9),(5,16),(5,25)}
The number of elements in AxB is 18.
Therefore , the cardinality of the cartesian product of A and B is 18.
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Select the correct answer.
Simplify the following expression.
4 -11/3 divided by 4 -2/3
A 12
B. 1/64
C. 64
D. 12
The correct value of the expression is 4/5.
How to calculate the fraction?The question is about simplifying 4 -11/3 divided by 4 -2/3.
It should be noted that 4 - 1 1/3 = 2 2/3
Also, 4 - 2/3 = 3 1/3
We will divide
2 2/3 ÷ 3 1/3
= 8/3 ÷ 10/3
= 8/3 × 3/10
= 4/5
Note that the correct option wasn't given.
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Answer: The correct value of the expression is 4/5.
How to calculate the fraction?
The question is about simplifying 4 -11/3 divided by 4 -2/3.
It should be noted that 4 - 1 1/3 = 2 2/3
Also, 4 - 2/3 = 3 1/3
We will divide
2 2/3 ÷ 3 1/3
= 8/3 ÷ 10/3
= 8/3 × 3/10
= 4/5
Note that the correct option wasn't given.
Step-by-step explanation:
The temperature in Gainesville is 9°C colder than the temperature in Elmwood. What is the temperature in Gainesville?
The temperature in Gainesville is 11°C.
How to calculate the value?From the information given, the temperature in Elmwood is 20° and the temperature in Gainesville is 9°C colder than the temperature in Elmwood.
Therefore, the temperature in Gainesville will be:
= 20 - 9
= 11°C
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The temperature in Elmwood is 20°C. The temperature in Gainesville is 9°C colder than the temperature in Elmwood
Find point G on AB such that the ratio of AG to GB is 3:2.
Using proportions, the coordinates of point G are given as follows:
(1.8, 1.6).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The points A and B are given as follows:
A(-3, 4) and B(5,0).
For this problem, we have that the ratio of AG to GB is 3:2, hence:
AG = 3/5AB
G - A = 3/5(B - A).
The x-coordinate of G is found as follows:
x + 3 = 3/5(5 + 3)
x + 3 = 4.8
x = 1.8.
The y-coordinate of G is found as follows:
y - 4 = 3/5(0 - 4)
y - 4 = -2.4
y = 1.6.
Hence the coordinates of point G are given as follows:
(1.8, 1.6).
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Pina's recipe uses 2 cups of Sugar to make 2 1/2dozen 2 cookies. How many cups of Sugar does she use for two dozen cookies?
Answer:
1.6
Step-by-step explanation:
cookies : sugar
2.5 : 2
2 : x
Cross multiply
2*2 = 2.5x
4 = 2.5x
4/2.5 = x
x = 1.6
Write the distributive property of multiplication over addition a a conditional statement
The distributive property of multiplication over addition is A (B + C) = AB + AC.
Properties of Numbers.
Numbers are have 5 main properties of operation which are:
Closure PropertyAssociative PropertyCommutative PropertyDistributive PropertyIdentity PropertyGiven,
Here we have to write the distributive property of multiplication over addition of a conditional statement.
Basically, the distributive property defines the distributing ability of operation over another mathematical operation within a bracket.
It can be either distributive property of multiplication over addition or distributive property of multiplication over subtraction.
Here we need to write the distributive property of multiplication over addition of a conditional statement.
So, The distributive property of multiplication over addition is expressed as
=> A × (B + C) = AB + AC.
Let us verify this property with the help of an example.
For example:
The expression 2(1 + 4) using the distributive law of multiplication over addition.
=> 2(1 + 4) = (2 × 1) + (2 × 4)
⇒ 2 + 8 = 10
Hence, the distributive property of multiplication over addition is stated.
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Genes a and b are 10 mu apart. a man has an ab/ab genotype. his father was ab/ab. he marries a woman who is ab/ab. what is the likelihood they will have an ab/ab child?
The probability that they will have an ab/ab child is 5%
Probability is how likely an event is to happen. It is measured by the ratio of the number of good cases to the total number of cases that could happen.
ab/ab (female) x ab/ab (male)
Possible alleles: [Find the alleles of the parents first, because the rest can be mixed]
AB (parental)
ab (parental)
Ab (recombinant)
aB (recombinant)
The m.u. tells us that recombinant alleles happen 10% of the time. If a child is (Ab/ab), then (ab) would come from the father, and (Ab) would come from the mother.
Given the mother has allele ab/ab looking at probabilities there is 50%chance that the child will inherit the allele and a 10% chance for the recombination to happen.
P(ab/ab)= (50%) (10%) = 5%
hence the answer is 5%
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PLEASEEEEKKEJES HELPPPPPPPPO :)))
Answer:You have it right I think
2.46*10^6
Step-by-step explanation:
Because you move the decimal point over 6 spots which gives you the 10 to the sixth.
help needed. with show work
Pls help me
44.00 divided by 2.20
with problem work pLSS Help me !!
Which of the following numbers is the least LOOK AT NUMBER TWO ANSWERS
Answer:
A is least
Step-by-step explanation:
A= 560
B= 630
C= 568
D= 639
If you do 7 x 10 which equals 70 then do 70 by the power of 8 which is multiplying 70 8 times, you get 560 which is the least equation/answer out of all of them.
Answer:
A is the answer
Step-by-step explanation:
Since a and c are to the power of 8 while b and d are to the power of nine, it's between a and c
A.10*8=100000000×7= 700000000
C.10*8=100000000×7.1=710000000
Please I need help on Geometry
The correct choices for midpoints and bisector angles are listed below:
DDBABCBAHow to determine the locations and measures of bisectorsIn this question we find four cases of determination of midpoints, that is, the point in a line segment such that the line segment is divided in two segments of equal length, and four cases of angle bisectors, that is, two angles of equal measure generated by a semirray.
First, we determine the location of the midpoints:
1) M(x, y) = 0.5 · (- 8, 9) + 0.5 · (- 9, 0)
M(x, y) = (- 8.5, 4.5)
M(x, y) = (- 8 1 / 2, 4 1 / 2)
2) M(x, y) = 0.5 · (1, 10) + 0.5 · (5, 5)
M(x, y) = (3, 7.5)
M(x, y) = (3, 7 1 / 2)
3) M(x, y) = 0.5 · (3, - 1) + 0.5 · (5, 3)
M(x, y) = (4, 1)
4) M(x, y) = 0.5 · (1, - 2) + 0.5 · (4, 5)
M(x, y) = (2.5, 1.5)
M(x, y) = (2 1 / 2, 1 1 / 2)
Bisector angles
5) The measure of the angle is 28°.
6) The measure of the angle is 38°.
7) The measure of the variable behind the angle is:
m ∠1 = m ∠2
2 · x + 3 = x + 11
x = 8
8) The measure of the variable behind the angle is:
m ∠ XVW = 2 · m ∠ 1
13 · x - 6 = 2 · (5 · x + 9)
13 · x - 6 = 10 · x + 18
3 · x = 24
x = 8
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Graph the inequality x<3.
To graph an inequality, select the correct type of ray and then select the correct endpoint on the number line.
Answer:
You would start at 3 and then go backwords till the end.
So you'd choose the 3 option. <-o
Only use the filled in o if the equation is <_ with the line underneath, if its like < then its o
Hope this helps! <3
Givien f (x) = -3x-1, solve for x when f(x) =-10
Answer:
x = 3
Step-by-step explanation:
Since both have f(x), the substitution method can be used.
1. f(x) = -3x - 1
2. f(x) = -10
Therefore,
-3x - 1 = -10
Flip to positive to calculate more easily since all are negative (although, this is optional.)
3x + 1 = 10
3x + 1 - 1 = 10 - 1 (to make one side x and other side number)
3x = 9
x = 3
Hope this helped! ^^
solve for the area and perimeter of the swan show all work and include equations?
Answer:
Step-by-step explanation:
where is the swan?
tyler wants to buy a new game system that costs $240 tyler has already saved $32 but he needs to make a plan so he can save the rest of the money he needs he decided to save the same amount of money x dollars each month for the next four months, write an equation that helps tyler determine the amount of money he must save each month, solve the equation to find the amount of money he must save each month to meet his goal of buying a new game system
Answer: He must save $52 per month
Step-by-step explanation: 240-32= 208/4= 52
Solve the equation 4e - 5 + 2e = e + 3 - 2e
for e.
Answer:e=8/7=1.143
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*e-5+2*e-(e+3-2*e)=0
Add 8 to both sides of the equation :
7e = 8
Divide both sides of the equation by 7:
e = 8/7 = 1.143
And then you get
Divide both sides of the equation by 7:
e = 8/7 = 1.143
Answer:
4*e-5+2*e-(e+3-2*e)=0
Add 8 to both sides of the equation :
7e = 8
Divide both sides of the equation by 7:
e = 8/7 = 1.143
And then you get
Divide both sides of the equation by 7:
e = 8/7 = 1.143
Step-by-step explanation:
Can someone please help me with thiss
Answer:
3 over 4 is the slope
Step-by-step explanation:
y2 - y1 over x2 - x1 is how you get the slope. To get those points you simply pick two points, it doesn’t matter which 2.
Answer:
slope = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 9, 4) and (x₂, y₂ ) = (7, 16) ← 2 ordered pairs from the table
m = [tex]\frac{16-4}{7-(-9)}[/tex] = [tex]\frac{12}{7+9}[/tex] = [tex]\frac{12}{16}[/tex] = [tex]\frac{3}{4}[/tex]
