Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Related Questions
Simplify the expression (x^2+3x-28)/(x^2+10x+ 21). Show your work.
NOTE: Must show your factoring work using either the big X strategy covered in class, or the quadratic formula method. Must show how you get factors. Not just give me factors.
Answers
Answer:
(x-3) (x-7)
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is +21
Step-1 : Multiply the coefficient of the first term by the constant 1 • 21 = 21
Step-2 : Find two factors of 21 whose sum equals the coefficient of the middle term, which is -10 .
-21 + -1 = -22
-7 + -3 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -3
x2 - 7x - 3x - 21
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
3 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x-3) • (x-7)
Which is the desired factorization
which expression is equivalent to 0.17w + 0.77 + w? -0.77 + 1.17w
-0.17w + 1.77
-1.94w
-1.6w
Answers
Answer:
113.29w +1.77
Step-by-step explanation:
What is the base in the expression 45?
4
5
9
20
Answers
the answer to your question is 4
Answer:
yeah it is 4 i got it right
Step-by-step explanation:
Hong needs to memorize words on a vocabulary list for Spanish class. He has memorized 30 of the words, which is five-sixths of the list. How many words are on the list?
Answers
Which is true about x, the quotient of the division problem shown below? х 81 918 O The quotient contains a repeating decimal. O The quotient contains a terminating decimal. O The quotient is a whole number less than 11. O The quotient is a whole number greater than 11
Answers
Answer:
The answer is choice 2 and 3, that is "The quotient has a final decimal and the whole number is less than 11".
Step-by-step explanation:
The product of a ratio: amount (r) over other(s) (variance from 0) becomes mandatory to note this quotient and in the following case Thus q is = 0.0882352941.
[tex]\to \frac{81}{918}= 0.0882352941[/tex]
It wasn't a repeating decimal, however a final decimal, so it's got an end.
Its quotient may be less than 11 in total.
Numbers of W = {0,1,2, ...} and 0 < 11 are provided for this entire series of data therefore It's real .
Answer:
a
Step-by-step explanation:
Which fraction is in simplest form?
2-10
5-12
3-6
4-8
Answers
Answer:
5/12
Step-by-step explanation:
All of the other answers share at least one factor they can be divided by (the numerator in all cases). 5/12 however shares no factors and cannot be simplified anymore.
HELP PLEASE!!
Select the equation of the line parallel to y=-4x-6 the
equation and that passes through the point (1, 2).
O y=-4x+6
O y=4x-4
O y=-4x-4
O y = 4x+6
Answers
Answer:
[tex]y=-4x+6[/tex]
Step-by-step explanation:
If you are looking for a parallel line with just the equation then look for an equation with the same slope and different Y intercept. After you find that just check and see if it passes the coordinate.
[tex]2=-4(1)+6[/tex]
[tex]2=-4+6[/tex]
[tex]2=2[/tex]
If it works you have your answer!
The equation of the line parallel to y = -4x - 6 and passing through (1, 2) is
y = -4x + 6.
The slope of y = -4x - 6 is -4.
passing through the point (1, 2)
the new line is parallel to the original line, it will have the same slope (-4).
Use the point-slope form of a linear equation to write the equation of the new line. The point-slope form is y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the given point.
substituting values,
y - 2 = -4(x - 1)
y - 2 = -4x + 4
y = -4x + 6
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Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles. How many caramel apples are covered with sprinkles
Answers
Answer:
20 caramel apples are covered with sprinkles
Step-by-step explanation:
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.
Let the Total fraction of caramel apples = 1
1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles
Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )
LCM of denominator = 30
= 1 - (6 + 10 + 9/30)
= 1 - 25/30
= 5/30
= 1/6
How many caramel apples are covered with sprinkles
This is calculated as :
Fraction of caramel apples covered in sprinkles × Total number of caramel apples
= 1/6 × 120
= 20 caramel apples covered in sprinkles.
Write the slope-intercept form of the equation for the line containing (1,-6) and (−4,4).
Answers
Answer:
-2
Step-by-step explanation:
m = 10 / -5 = 2 / -1 = -2
Please answer quickly!
Answers
Sorry I think the picture is blocked so I can't see it
The following scores represent students' test grades in Ms. Orr's science class. Test Scores 78 81 78 81 78 81 78 81 78 87 91 87 91 87 91 87 91 87 What is the median score for Ms. Orr's science class?
plsss help mee
Answers
Answer:
Its definitely B 84.5
I took the test
Step-by-step explanation:
Answer:
87
Step-by-step explanation:
The median score is the score that appears in the middle of the graph and the set of numbers. 87 is the median score.
The heights of American men aged 18 to 24 are approximately Normally distributed with a mean of 68 inches and a standard deviation of 2.5 inches. Only about 5% of young men have heights outside the range
Answers
(Hope that helps (= The given says the height distribution is normally distributed with the mean height equal to 68 inches. In this case, the bell-shaped curve has a vertical symmetry at 68 inches. This means, half of the mean exceeds 68 inches while the other half has height below 68 inches.
The height range out of which only 5% of the young American men (from age 18 to 24) lie is [63.35, 72.65] (in inches)
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For this case, let we take:
X = height of American men from age 18 to 24[a,b] = range of height (the values of X) outside which there lies only 5% of American men.Then, according to the given data, we have:
[tex]X \sim N(\mu = 68, \sigma = 2.5)[/tex]
where [tex]\mu[/tex] is mean value of X and [tex]\sigma[/tex] is standard deviation of X (both in inches).
Also, we can write:
[tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex]
Since normal distribution is symmetric about its mean, we can take a and b equidistant from the mean, so as to get a symmetric range which makes much more sense than taking an asymmetric range which doesn't comply with the nature of values of X.
Thus, we have:
[tex]\mu - a = b - \mu\\b = 2\mu - a[/tex]
From this result and [tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex], we get:
[tex]P(X < a) + P(X > 2\mu -a) = 0.05[/tex]
Converting X to Z(the standard normal distribution), we get;
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]P(X < a) + P(X > 2\mu -a) = 0.05\\\\P(Z < z = \dfrac{x-\mu}{\sigma} = \dfrac{a-68}{2.5}) + P(Z > \dfrac{2(68) - a - 68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > \dfrac{68-a}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > -\dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z \leq \dfrac{a-68}{2.5}) = 0.05 \: \: \: \: (\because P(Z > -k) = P(Z \leq k))\\\\2P(Z < \dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) = 0.025[/tex]
Using the z-tables, we get the value of Z for which p-value is 0.025 as
-1.96
Thus, we get:
[tex]\dfrac{a-68}{2.5} = -1.96\\\\a = 68 + (-1.96 \times 2.5)\\a = 63.35[/tex]
Thus, we get: [tex]b = 2\mu - a = 2(68) - 63.35 = 72.65[/tex]
Thus, the range is [a,b] = [63.35, 72.65]
Thus, the height range out of which only 5% of the young American men (from age 18 to 24) lie is [63.35, 72.65] (in inches)
Learn more about standard normal distribution here:
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10x+y when x = 7 and y = 5
Answers
Answer: 75
Step-by-step explanation:
Plug in 7 for x and 5 for y
10(7)+5
70+5
75
√2+√2 =
A. 3√2 or B. 2√2
Which one?
Answers
Answer:
B
Step-by-step explanation:
Can i plz have brainliest :)
Lauren's vet commented that her puppy gained 10% in weight since the first visit. Write an expression that could be evaluated to show the puppy's current weight. Use a variable to represent the weight of the puppy at the first visit. Write the expression in simplified form. If the puppy gains another 10% in weight from the current visit to a future visit, how much will the puppy weigh? Write an expression that could be evaluated to show the puppy's future weight. Write the expression in simplified form.
Answers
Answer: expression to show puppy's current weight = x+ 0.1x, simplified form = 1.1x
Expression that for puppy's future weight= 1.1x + 0.1(1.1x), simplified form = 1.21 x
Step-by-step explanation:
Let x= Puppy's weight in the first visit.
If it gained 10% in weight from the first visit, then his current weight = (weight in first visit)+10% of (weight in first visit)
= x+ 0.1x
i.e. expression to show puppy's current weight = x+ 0.1x
In simplified form it will be
x+ 0.1x = x(1+0.1)
=x(1.1)
=1.1 x (simplified form )
If puppy gains another 10% in weight, then its future weight = (current weight)+10% of (current weight)
= 1.1x+10% of 1.1x
= 1.1x + 0.1(1.1x)
Expression that for puppy's future weight= 1.1x + 0.1(1.1x)
= 1.1x(1+0.1)
= 1.1x(1.1)
=(1.1)²x
= 1.21x (simplified form)
Which number line best shows the position of 13?
Answers
mark the error / s es de moninomios
Answers
9514 1404 393
Answer:
2x²2y³ -- Coefficiente: +4
5xy -- Grado: 2
-5x⁴y -- Grado: 5
Step-by-step explanation:
The coefficient of the literal part is the product of all of the numerical factors in the term.
2x²2y³ = (2·2)x²y³ = 4x²y³ . . . . the coefficient is 4
As in the upper left box, the degree of the term is the sum of the exponents of the literals.
5xy has a degree of 1+1 = 2
-5x⁴y has a degree of 4+1 = 5
__
The remaining descriptions are correct.
please will give brain
Answers
x=-1 and -3
y=3
2)
x=1 and 4
y=4
3)
x=-3 and 3
y=-9
Gemma makes a conjecture that the sum of an odd integer and itself is always an even integer. Which choice is the best proof of her conjecture?
A) Look at these different examples: 7 + 7 = 14, 13 + 13 = 26, 23 + 23 = 46. So the sum of an odd number and itself must be even
B) Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
C) Let n represent an odd number, and let n + n be an even number. Therefore, n + n = n + n, which shows that the sum of an odd number and itself is even.
D) Every time you add an odd number and itself, the sum is an even number.Every time you add an odd number and itself, the sum is an even number.
Answers
Answer:
Let 2n + 1 be an odd number...... B/2nd option
Step-by-step explanation:
The best choice is
Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2.
Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
What is Conjecture?A hypothesis in mathematics is a conclusion or a proposition made tentatively without supporting evidence. Some conjectures, like the Fermat's Last Theorem or the Riemann hypothesis, have significantly influenced the development of new branches of mathematics.
First, Only three examples are given which is not appropriate at all.
Second, This is the best proof is
Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
Fourth, State the meaning of Title without proof.
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Jacob baked 42 sugar cookies and 30 oatmeal cookies to package for his friends at school. He wants to package the cookies into identical containers so that each container has the same number of cookies. If he uses all of the cookies, what is the greatest number of containers he needs?
Answers
Answer:
6
Step-by-step explanation:
Given the following :
Number of sugar cookies = 42
Number of Oatmeal = 30
To package the cookies into identical containers so that each container has the same number of cookies with no left over ;
We find the greatest common factor of 42 and 30
Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42
Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30
The greatest common factor = 6
Graph the linear equation
5x - y = 30 by following these steps:
Step 1: Find the x-intercept. Let y = 0 and solve for x.
=
Answers
Answer:
Step-by-step explanation:
5x-(0)=30
add 0 to both sides to cancel
5x=30
divide by 5 on both sides to cancel
x=6
Name the property that the statement illustrates.
Answers
Answer:
Symmetric property of angle congruence
A popular band is trying to raise at least $20,000 for charity by holding multiple concerts at a park. It plans to sell tickets at $25 each. For each 2-hour concert, the band would need to pay the park $1,250 in fees for security, cleaning, and traffic services
Answers
The complete question is;
A popular band is trying to raise at least $20,000 for charity by holding multiple concerts at a park. It plans to sell tickets at $25 each. For each 2-hour concert, the band would need to pay the park $1,250 in fees for security, cleaning, and traffic services.
The band needs to find the combinations of number of tickets sold, t, and number of concerts held, c, that would allow it to reach its fundraising goal.
Write an inequality to represent the constraints in this situation.
Answer:
(25t)c - 1250 ≥ $20,000
Step-by-step explanation:
We are told the band is trying to raise at least $20,000.
It's trying to sell tickets at $25 each.
We are told that they pay the park $1,250 in fees for security, cleaning, and traffic services.
Now, expenses for each concert is $1,250.
Now, we are told that the number of tickets sold is t, and number of concerts held, c.
Thus, total amount that can be realized for "c" number of concerts is;
A = (25t)c
Now, expenses for each concert is $1,250.
Thus, total profit for "c" number of concerts is;
P = (25t)c - 1250
Now, they are trying to raise at least $20,000. Meaning greater than or equal to $20,000.
Thus, the profit must be greater than or equal to $20,000.
Thus, the inequality is;
(25t)c - 1250 ≥ $20,000
A rock garden is in the shape of a triangle as shown. Which equation could be used to find the area of the rock garden
Answers
Answer1/2(8x15)=60ft2
Step-by-step explanation: hope this helps you
The area of the rock garden will be represented by the equation 1/2 x 15 x 8 = 60. The correct option is D.
What is the area of a triangle?The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 x b x h, where b and h are the product of the triangle's base and height.
The area of the triangle will be calculated as,
Area = 1/2 x 15 x 8
Area = 15 x 4
Area = 60 square feet
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The diagram of a living room is shown below. What fraction of the living room is covered by the rug? need done ASAP
Answers
Answer:
[tex] \frac{10}{27} [/tex]
plz answer 12 points
Answers
Answer:
6+3^3
Step-by-step explanation:
6 plus 3 cubed
which is 6+3^3
TIME REMAINING 01:37:16 Absalom states that 0 is a rational number. Which is a correct explanation for this statement? The number 0 is a whole number, which is part of the rational numbers. The number 0 is the center of the number line. The number 0 is a natural number, which is part of the rational numbers. The number 0 cannot be written as a fraction.
Answers
Answer:
The number 0 is a whole number, which is part of the rational numbers, is correct.
Step-by-step explanation:
Absalom states that 0 is a rational number.
As the whole numbers are 0,1,2,3,... which is starting from 0, so the stated number 0 is a part of the whole number.
As all the whole number are rational numbers, so 0 is a rational number
Hence, the explanation (i) which is,
The number 0 is a whole number, which is part of the rational numbers, is correct.
The naturals numbers are 1,2,3,... which starts from 1, so 0 is not a part of the natural number, and the number 0 can be written as a fraction like [tex]0=\frac {0}{1}[/tex].
Hence, statement (ii) The number 0 is a natural number, which is part of the rational numbers as well as the statement (iii) The number 0 cannot be written as a fraction, are wrong.
Answer:
The number 0 is a whole number, which is part of the rational numbers.
Step-by-step explanation:
is 77.65488319 rational or irrational
Answers
Answer:
rationale
Step-by-step explanation:
step by step instructions
Answer:
Irrational
Step-by-step explanation:
The decimal doesn't terminate.
8.9% is equivalent to what fraction in reduced terms?
Answers
Answer:89/1000
Step-by-step explanation:
Answer:
[tex]\frac{89}{1000}[/tex]
Step-by-step explanation:
8.9% = 0.089[tex]0.089 = \frac{89}{1000}[/tex]I hope this helps!
What is the measure of ∠RQS ?
What is the measure of ∠RQT ?
What is the measure of ∠RQV ?
What is the measure of ∠UQV ?
Answers
Answer:
∠RQS = 19°
∠RQT = 90°
∠RQV = 161°
∠UQV = 91°
Step-by-step explanation:
To get ∠RQV, you know that the line is equal to 180°, so subtract 19° from it:
∠RQV = 180 - 19
∠RQV = 161°
To get ∠UQV, you know that the line is equal to 180°, so subtract 71° and 18° from it:
∠UQV = 180 - 71 - 18
∠UQV = 91°
Hope this helps!