Answer:
Factors: 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530
Prime Factors of 1530 : 2 * 3 * 3 * 5 * 17
Please answer this question for me. Urgent.
Using a system of equations, the expression, in terms of x, for the total number of students at the college is:
T = 11x.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem
For this problem, considering the Venn diagram, we have that:
A + x students play the Piano.B + x students play the Guitar.Thus the total number of students in the college is given by:
T = A + B + x.
1/2 of the students who learn the piano also learn the guitar, hence:
A = x.
Thus the number of students who play the piano is:
A + x = x + x = 2x.
5 times as many students learn the guitar as learn the piano, hence:
B + x = 5(2x)
B + x = 10x
B = 9x.
Hence:
T = A + B + x
T = x + 9x + x
T = 11x.
The expression, in terms of x, for the total number of students at the college is:
T = 11x.
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show that these statements about the integer x are equivalent: (i) 3x 2 is even, (ii) x 5 is odd, (iii) x2 is even.
All the above statements are proved using proof by contraposition.
What is proof by contraposition?Proof by contrapositive, also known as proof by contraposition, is an inference technique used in mathematics where a conditional statement's contrapositive is used to infer the conditional statement's conclusion. To put it another way, the conclusion "if A, then B" is inferred by building a proof of the claim "if not B, then not A" instead. This method is frequently chosen if the contrapositive is more straightforward to establish than the first conditional statement.
The term "contraposition" describes a proving strategy known as "proof by contraposition," which involves drawing an inference from a conditional statement to its logically equivalent contrapositive. The antecedent and consequent of a sentence are inverted and flipped in the contrapositive.
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In the diagram below AB is parallel to CD. what is the value of y
Answer: 30 degrees ==> C
Step-by-step explanation:
y+150=180 ==> 150 is the alternate interior angle of angle y's supplementary angle. So, these two angles add up to 180.
y=30 degrees ==> C
Calculate (2.5 × 106) + (7 × 105)
Give your answer in standard form.
Answer:
hdshsjjkksjsjskskwiisiw
PLease Solve I will give 15 points its all i have
Answer:
qw1
Step-by-step explanation:
Select two ratios that are equivalent to 5 :2
Answer:
35:14
Step-by-step explanation:
On calculator 5/2 =2.5
Try this choice to get the same percentage
Answer:
B = 10 : 4 & D = 35 : 14
Step-by-step explanation:
Hope this helps :)
which surveys illustrate an example of qualitative data? check all that apply.the time, in minutes, it took students to finish their examsthe eye color of students involved in after-school activitiesthe characteristics of different types of birdsthe scores on the last examthe weights of different books
The following illustrate the examples of Qualitative data: (1) the eye color of children participating in after-school activities and (2) the traits of various bird species.
What is Qualitative data?Data that cannot be quantified or expressed in numbers are referred to as qualitative data.
Now,
(1) The time, in minutes, it took students to finish their exams: It is quantifiable data since the number of minutes it took pupils to complete their tests can be measured.
(2) The eye color of students involved in after-school activities: Since the eye color of students participating in after-school activities cannot be quantified, the information is qualitative.
(3) The characteristics of different types of birds: The characteristics of many bird species can never be quantified quantitatively; therefore, the information is qualitative.
(4) The scores on the last exam: It is quantitative data since the results of the last exam may be quantified and expressed in numbers.
(5) The weights of different books: It is quantifiable data because it is possible to measure the weights of various books.
Hence, the eye color of children participating in after-school activities and the traits of various bird species are examples of qualitative data.
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Which of the following is a false statement?
A
Banks are insured by the government.
B
Money can be stolen or lost if you keep it at home.
C
If your bank goes out of business, you lose your money.
D
Your money can grow if you keep it in a bank account.
C ) If your bank goes out of business, you lose your money is a false statement .
Since banks are insured by FDIC . So if a bank becomes dissolves or becomes bankrupt FDIC covers the loss of customers of bank upto a certain limit .
A ) Banks are insured by the government.
This is a true statement .
B ) Money can be stolen or lost if you keep it at home . Even this is a true statement .
D ) Your money can grow if you keep it in a bank account . This is also a true statement .
Hence , C ) If your bank goes out of business, you lose your money is a false statement .
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solve following expressiong when
k = 12
answer right for 5 star and brainliest
(4k+2) divided by 10
Answer:
5
Step-by-step explanation:
Given expression:
(4k + 2) ÷ 10when k = 12
substituting k = 12 in equation
⇒ (4(12) + 2) ÷ 10
⇒ (48 + 2) ÷ 10
⇒ 50 ÷ 10
⇒ 5
PLEASE EXPLAIN THIS TO MEEEE (image included)
PLEASE GIVE ME AN EXPLANATION THAT I CAN REALLY UNDERSTAND
Answer:
first option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 4 ) and (x₂, y₂ ) = (3, - 4 )
m = [tex]\frac{-4-4}{3-1}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
to find substitute either of the 2 points into the partial equation
using (1, 4 ) , then
4 = - 4 + c ⇒ c = 4 + 4 = 8
y = - 4x + 8 ← equation of line
Answer:
A
Step-by-step explanation:
Substitute in the equation remove each x and put 1 if the result is 4 that's mean it's the true equation
Write the expression that represents the area of the rectangle shown
3 7
Answer:3x7
Step-by-step explanation:Area is width x length. So 3x7.
sa finished 30% of his homework in 27 minutes. How many more minutes will it take Isa to complete his homework, assuming that he works at the same pace?
A. 63 minutes
B. 67 minutes
C. 70 minutes
D. 90 minutes
Answer:D
Step-by-step explanation:
Solve 1/2 = 1/4(y + 1/8) for y.
y = 1/2
y = 3/4
y = 15/8
y = 3/2
Answer:
here :)
Step-by-step explanation:
HELLO i’ll give BRAINLIEST TO THE PERSON WHO ANSWERS!!!
From the numeric value of the formula, the tuition and fees for the school year ending in 2010 was of $26,270.
How to find the numeric value of a function?The numeric value of a function is found replacing each instance of x by the value that we want to find.
For this problem, the cost function is given by:
T(x) = 26x² + 806x + 15610.
In which x is the number of years after 2000.
Hence the cost in 2010 will be given by:
T(10) = 26(10)² + 806(10) + 15610 = $26,270.
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Find the distance from point X to line p.
The distance from point X to line p is 2√17 units.
We are given the point X as:
X = ( - 2 , 5 )
We need to find the distance of X from the line p.
We will do this by using the distance formula:
Distance = √ (y₂ - y₁)² + (x₂ - x₁)²
Distance = √ (- 2 - 0) ² - (5 - ( - 3)) ²
= √ ( - 2) ² - (5 + 3) ²
= √ ( - 2) ² - (8) ²
= √ 4 + 64
= √ 68
= 2 √17 units
Therefore, the distance from point X to line p is 2√17 units.
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Your question was incomplete. Please find the content below:
Find the distance from point X to line p. An image of a point X, a line p, and three segments joining the point and the line. Question 12 options:
A. 2 √34 units
B. √85 units
C. 2 √17 units
D. √17 units
Simplify a^7 b^2 a^-9
Select one:
O a. a^2/ b²
O b. a^8 b^2
O c. a^2 b^2
O d. b^2/a ²
The answer to the given question is b²/a²
The power of a number tells us how many times that number must be multiplied. Exponents and indexes are other names for powers. For instance, 8² denotes "8 squared," "8 squared," or just "8 squared."
A power is just an expression that denotes repeatedly multiplying the same number or factor. The exponent value depends on how frequently the base has been multiplied by itself.
For instance, 8 x 8 x 8 x 8... times is 8. The phrase 8n above is pronounced as 8 raised to the power n. As a result, exponents are also sometimes referred to as power or indices.
a⁷ b² a⁻⁹
= a⁽⁷⁻⁹⁾ b²
= a⁻² b²
= b² / a²
Therefore, The value of the given equation is b²/a²
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i dont now how to do this
Answer:if they choose the family tickets its 15% off the regular ticketts individually
Step-by-step explanation:
Malia and some of her friends are going rock climbing this weekend. In preparation, Malia purchased 8 sports drinks to bring, including 6 peach flavored drinks.
If Malia randomly chooses to place 4 drinks in the red cooler, what is the probability that all of them are peach flavored?
Write your answer as a decimal rounded to four decimal places.
Based on the fact that there are 8 sports drinks and 6 peach flavored drinks, the probability that all 4 drinks picked by Malia would be peach flavored is 0.2143.
What is the probability?The probability that all 4 drinks will be peach flavored can be found as:
= Probability of first drink being peach x Probability of second drink being peach + Probability of third drink being peach + Probability of fourth drink being peach
The probability of the drinks being peach flavored is:
= 6/8 x 5/7 x 4/6 x 3/5
= 0.2143
In conclusion, the probability that all the drinks are peach flavored is 0.2143.
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How do i solve this equation
3x^2+56x-7
Answer:
that is the answer
you cant simplify the equation further
3x ^ 2 + 56x - 7 is the answer
Step-by-step explanation:
theater had 4100 seats the students left 19% of the seats vacant , how many students went on the trip
Answer:
3,321
Step-by-step explanation:
1-0.19=0.81
4100*0.81=3,321
3,321 students went on the trip.
Hope this helps!
Please mark as brainliest if correct!
Find the sum of the interior angle measures of 28-gon
Answer:
4680°/28 = 167.14°
Step-by-step explanation:
So, for a polygon with 28 sides, the sum of the measures of the interior angles is 26(180°) = 4680°. Since the polygon is regular, each interior angle has the same measure. So, the measure of each interior angle = 4680°/28 = 167.14°
Suppose a meteorologist is tracking rainfall patterns in Mickton, Florida. Select all true statements.
Mickton had more rainy days in June 2012 than November 2012, December 2012, and January 2012 combined.
There was only one month with more rainy days in 2013 than 2012.
Mickton had more rainy days in July than in January, November, and December combined in 2012 and 2013.
There were 13 rainy days in February 2013.
The month with the greatest difference in the number of rainy days between 2012 and 2013 was December.
The correct statements regarding the given bar graph are as follows:
Mickton had more rainy days in July than in January, November, and December combined in 2012 and 2013.There were 13 rainy days in February 2013.The month with the greatest difference in the number of rainy days between 2012 and 2013 was December.What does a bar graph show?A bar graph shows the number of times that each observation appears in the data-set.
The first correct statement is:
Mickton had more rainy days in July than in January, November, and December combined in 2012 and 2013.
As:
30 + 29 > 8 + 5 + 11 + 7 + 10 + 4
The second correct statement is:
There were 13 rainy days in February 2013.
Due to the blue bar in Feb.
The third correct statement is:
The month with the greatest difference in the number of rainy days between 2012 and 2013 was December.
Difference of 10 - 4 = 6 days, which is the biggest.
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Who were the aggressors in the war that is discussed in Zlata’s Diary? Bosnian Muslims Bosnian Croats Bosnian Serbs
Answer: The answer is the third option. Bosnian Serbs were the aggressors in the war that is discussed in Zlata’s Diary. This diary is a book by Zlata Filipović. It was written from 1991 to 1993 during the Bosnian war.
Step-by-step explanation: hope this helps!!!!
frames covered with shade cloth), (2) control (pvc frames only), and (3) warmer (pvc frames covered with plastic). one of the article’s authors kindly supplied the accompanying data on the d
(1) Frames covered with shade cloth mean = 1.71 and standard deviation = 0.401
(2) control pvc frames only mean = 19.26 and standard deviation = 0.536
(3) warmer (pvc frames covered with plastic) mean = 2.08 and standard deviation = 0.774.
(1) Using the cooler mean and SD:
The calculations are shown in the table below:
[tex]\begin{array}{lll} & \mathrm{X} & (\mathrm{X} \text {-mean })^{2} \\& 1.59 & 0.0144 \\& 1.43 & 0.0784 \\& 1.88 & 0.0289 \\& 1.26 & 0.2025 \\& 1.91 & 0.04 \\& 1.86 & 0.0225 \\& 1.9 & 0.0361 \\& 1.57 & 0.0196 \\& 1.79 & 0.0064 \\& 1.72 & 0.0001 \\& 2.41 & 0.49 \\& 2.34 & 0.3969 \\& 0.83 & 0.7744 \\& 1.34 & 0.1369 \\& 1.76 & 0.0025 \\\text { Total } & 25.59 & 2.2496\end{array}[/tex]
Sample size
[tex]$$n=15$$[/tex]
Sample sum:
[tex]$$\sum x=25.59$$[/tex]
Sample mean:
[tex]$$\begin{aligned}\bar{x}=\frac{\sum x}{n} &=25.59 / 15 \\&=1.71\end{aligned}$$[/tex]
Sample standard deviation:
[tex]\begin{aligned}s=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} &=\sqrt(2.2496 /(15-1)) \\&=0.401\end{aligned}[/tex]
(2) Using the control mean and SD:
The calculations are shown in the table below:
[tex]\begin{array}{lll} & \mathrm{X} & (\mathrm{X}-\text { mean })^{2} \\& 1.92 & 0.0289 \\& 2 & 0.0625 \\& 2.19 & 0.1936 \\& 1.12 & 0.3969 \\& 1.78 & 0.0009 \\& 1.84 & 0.0081 \\& 2.45 & 0.49 \\& 2.03 & 0.0784 \\& 1.52 & 0.0529 \\& 0.51 & 1.5376 \\& 1.9 & 0.0225 \\\text { Total } & 19.26 & 2.8723\end{array}[/tex]
Sample size:
[tex]$$n=11$$[/tex]
Sample sum:
[tex]$$\sum x=19.26$$[/tex]
Sample mean:
[tex]\begin{aligned}s=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} &=\sqrt(2.8723 /(11-1)) \\&=0.536\end{aligned}[/tex]
(3) Assuming a warmer mean and SD:
The calculations are shown in the table below:
[tex]$\begin{array}{lll} & \mathrm{X} & (\text { X-mean })^{2} \\ & 2.57 & 0.3969 \\ & 2.6 & 0.4356 \\ & 1.93 & 0.0001 \\ & 1.58 & 0.1296 \\ & 2.3 & 0.1296 \\ & 0.84 & 1.21 \\ & 2.65 & 0.5041 \\ & 0.14 & 3.24 \\ & 2.74 & 0.64 \\ & 2.53 & 0.3481 \\ & 2.13 & 0.0361 \\ & 2.86 & 0.8464 \\ & 2.31 & 0.1369 \\ & 1.91 & 0.0009 \\ \text { Total } & 29.09 & 8.0543\end{array}$[/tex]
Sample size:
[tex]$n=14$[/tex]
Sample sum:
[tex]$$\sum x=29.09$$[/tex]
Sample mean:
[tex]$$\begin{aligned}\bar{x}=\frac{\sum x}{n} &=29.09 / 14 \\&=2.08\end{aligned}$$[/tex]
Sample standard deviation:
[tex]s=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} &=\sqrt(7.7883 /(14-1)) \\&[/tex]
[tex]=0.774[/tex]
Hence, these are the different samples of mean and standard deviation.
What does "standard deviation" mean?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
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Find the y intercept slope and equation
picture below
without further Ado, let's pick two points off the table, check the picture below, and let's roll on.
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} \implies \cfrac{-3}{2 +1} \implies \cfrac{ -3 }{ 3 }\implies -1[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-1)}) \implies y -3= -1 (x +1) \\\\\\ y-3=-x-1\implies {\LARGE \begin{array}{llll} y = -x+2 \end{array}} \qquad \impliedby \stackrel{y-intercept}{(0~~,~~2)}[/tex]
HELP PLEASE PLEASE 100 POINTS
Answer:
x=29
z=13
<RIG= 59°
<ZIM=31°
step-by-step explanation:(vertically opposite angles)
<ZIA=<MIG
3x-56=x+2
group like terms
3x-x=56+2
2x=58
divide both side by the coefficient of x
2x/2=58/2
x=29
<RIG+<GIM=90°
4z+7+x+2=90°
where x=29
4z+7+29+2=90°
4z+38=90°
make for 4z the subject
4z=90°-38°
4z=52°
let z stand alone
4z/4=52/4
z=13
<RIG=4z+7
where z=13
4(13)+7
52°=RIGZ
<ZIM=x+2
where x =39+2
x=31°
Answer:
x = 29
z = 13
Angle RIG = 59 deg.
Angle ZIM = 41 deg.
Step-by-step explanation:
So we know that angle ZIA = angle MIG
3x - 56 = x + 2
We can solve this equation
2x = 58
x = 29
Next, angle RIG + GIM = 90 degrees.
So if we do 4z + 7 + x + 2 = 90 degrees when x = 29, we can plug x in.
4z + 7 + 29 + 2 = 90 degrees
4z + 38 = 90 degrees
4z = 90 - 38
4z = 52
z = 13
Angle RIG = 4z + 7
We know that z = 13
4 * 13 + 7 = 52
Therefore RIGZ = 52 degrees.
Angle ZIM = x + 2
x = 39 + 2
x = 41
What is the equation of the line?
y = 3/4 x + 1
y = 4/3 x − 1
y = 4/3 x + 1
y=3/4x−1
Answer: 15
Step-by-step explanation:
Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and.
Review Andrew’s work, identify the error and correct all work from that point forward that is affected by this error. Include at least one sentence explaining his error. Use proper mathematical vocabulary, appropriately.
The supplied roots' polynomial equation is x³-7x²+20x-24=0.
A polynomial equation is defined as:A polynomial equation is one in which a polynomial is set to zero. It is an equation composed of variables, non-negative integer exponents, and coefficients, as well as operations and an equal sign. It has various exponents. The highest one represents the equation's degree. To be a polynomial equation, the variable in the equation must contain only non-negative integer exponents. Specifically, variable exponents should be non-negative and neither negative nor fractional.
According to the given data:Given that, solution polynomial equation of the least degree has roots of 3, 2+2i, and 2-2i.
Now, x=3, x=2+2i and x=2-2i
x-3, x-2-2i and x-2+2i
So, the polynomial equation is (x-3)(x-2-2i)(x-2+2i)=0
=(x-3)(x(x-2-2i)-2(x-2-2i)+2i(x-2-2i))=0
=(x-3)(x²-2x-2xi-2x+4+4i+2xi-4i-4i²)=0
=(x-3)(x²-2x-2x+4-4i²)=0
=(x-3)(x²-4x+4+4)=0 (∵i²=-1)
=(x-3)(x²-4x+8)=0
=x(x²-4x+8)-3(x²-4x+8)=0
=x³-4x²+8x-3x²+12x-24=0
= x³-7x²+20x-24=0
The supplied roots' polynomial equation is x³-7x²+20x-24=0.
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3x-6y=6. Solve for y
Pls help me with both of these
The algebraic expression for the phrase "the quotient of y and 6" is y / 6
The difference of -3 - 4 is -7.
How to solve algebraic expression?The algebraic expression of the following phrase "the quotient of y and 6" is as follows:
Quotient is a quantity produced by the division of two numbers.
Therefore, the algebraic expression for the phrase "the quotient of y and 6" is y / 6
The difference of -3 - 4 can be calculated as follows:
The difference of -3 - 4 is -7.
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