Answer:
54 inches = 4.5 feet.
Step-by-step explanation:
13. (-3,-1), (5, -1)
15. (0, 0), (3, 4)
17. (-2, 0), (5,0)
14. (-4,-3), (1, 1)
16. (-1, 2), (2, -3)
18. (0, -8), (0, -1)
Find the distance between each pair of points.
We need to know about distance between two points to solve the problem. The distance between each pair of points are: 13. 8, 14. 6.40, 15. 5, 16. 5.83 , 17. 7 , 18. 7
The distance between two points is the length of the line that will join these two points. The distance can be calculated by taking the square of the difference of the x-coordinates and y-coordinates of the two points, adding them up and taking their square root. In order to understand the formula we have to draw a right angled triangle using these two points, where the line joining the points is the hypotenuse, the difference in the x-coordinates is the base and the difference between the y-coordinates is the height. We use Pythagoras' theorem to find the hypotenuse which gives us the formula of distance between two points
d=[tex]\sqrt{(x-a)^{2} +(y-b)^{2} }[/tex] where (x,y) and (a,b) are the two points
13. (-3,-1) (5,-1)
d=[tex]\sqrt{(-3-5)^{2}+(-1+1)^{2} } =\sqrt{64} =8[/tex]
14. (-4,-3), (1, 1)
d=[tex]\sqrt{(-4-1)^{2}+(-3-1)^{2} } =\sqrt{25+16} =\sqrt{41} =6.40[/tex]
15.(0, 0), (3, 4)
d=[tex]\sqrt{(0-3)^{2}+(0-4)^{2} } =\sqrt{9+16} =\sqrt{25} =5[/tex]
16. (-1,2) ,(2,-3)
d=[tex]\sqrt{(-1-2)^{2}+(2+3)^{2} } =\sqrt{9+25} =\sqrt{34} =5.83[/tex]
17.(-2,0) , (5,0)
d=[tex]\sqrt{(-2-5)^{2}+(0-0)^{2} } =\sqrt{49} =7[/tex]
18.(0,-8), (0,-1)
d=[tex]\sqrt{(0-0)^{2}+(-8+1)^{2} } =\sqrt{49} =7[/tex]
Therefore we found the distance between each pair of points using the formula to find distance between two points, 13) 8, (14) 6.40, (15) 5, (16) 5.83, (17) 7, (18) 7
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Evaluate each expression the equation is b(9-c) those are on top and on bottom we have a^2. B=6 a=4 and c=8
Hey there!
b(9 - c) / a^2
= 6(9 - 8) / 4^2
= 6(1) / 4^2
= 6/4 * 4
= 6/16
= 6 ÷ 2 / 16 ÷ 2
= 3/8
Therefore, your answer should be:
3/8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which expression is equivalent to (2^7⋅3^−5⋅9)^4?
The expression (2⁷ · 3⁻⁵ · 9)⁴ is equivalent to the power expression 2²⁸ / 3¹² = 505.109.
How to simplify an expression involving power expressions
In this problem we find an expression involving several numbers in power form and we must simplify into a single real number by using algebra properties:
(2⁷ · 3⁻⁵ · 9)⁴ Given(2⁷)⁴ · (3⁻⁵)⁴ · (3²)⁴ Power of a product of numbers / Definition of power2²⁸ · 3⁻²⁰ · 3⁸ Power of a power2²⁸ · 3⁻¹² Multiplication of powers with equal base2²⁸ / 3¹² Power of a power / Definition of division / ResultTo learn more on power properties: https://brainly.com/question/26480839
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1 let (sn) and (tn) be sequences and suppose there exists n0 such that sn ≤ tn for all n>n0. show lim inf sn ≤ lim inf tn and lim sup sn ≤ lim sup tn. hint: use definition 10.6 and exercise 9.9(c).
The statement lim infn sₙ > lim infn tₙ and lim sup sₙ ≤ lim sup tₙ is proved such that sₙ ≤ tₙ for all n≥n₀.
What do you mean by inf and sup?The biggest element in P, if one exists, that is less than or equal to each element of S is known as the infimum of a subset S of a partially ordered set P. As a result, the phrase largest lower bound is also frequently employed. A set's infimum is its highest upper bound, while its supremum is its lowest upper bound. The supremum is the smallest upper bound of a set, whereas the maximum is the largest member of a set. The largest number in one column that is less than or equal to the target value in the other column is found using the greatest lower bound (glb) operator. The smallest number that is larger than or equal to the target number is discovered using the least upper bound (lub) operator.
Let us suppose that sₙ ≤ tₙ if n≥N, but that
lim infn sₙ > lim infn tₙ.
Let [tex]E_{s}[/tex] denote the set of all subsequential limits of {sₙ}, and let [tex]E_{t}[/tex] denote the set of all subsequential limits of {tₙ}. Then
inf [tex]E_{s}[/tex] >inf [tex]E_{t}[/tex].
This implies that there exists some x∈[tex]E_{t}[/tex] such that inf [tex]E_{s}[/tex] >x>inf [tex]E_{t}[/tex]., since otherwise inf [tex]E_{t}[/tex]. would not be the greatest lower bound of [tex]E_{t}[/tex]. Hence some subsequence of {tₙ}, say {tₙ}, converges to x< inf [tex]E_{s}[/tex].
lim sup sₙ ≤ lim sup tₙ.
Let [tex]E_{s}[/tex] denote the set of all subsequential limits of {sₙ}, and let [tex]E_{t}[/tex] denote the set of all subsequential limits of {tₙ}. Then
sup [tex]E_{s}[/tex] ≤ sup [tex]E_{t}[/tex].
This implies that there exists some x∈[tex]E_{t}[/tex] such that sup [tex]E_{s}[/tex] ≤ x ≤ sup [tex]E_{t}[/tex]., since otherwise sup [tex]E_{t}[/tex]. would be the greatest lower bound of [tex]E_{t}[/tex]. Hence some subsequence of {tₙ}, say {tₙ}, converges to x< sup [tex]E_{s}[/tex].
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two polynomials with integer coefficients are relatively prime in q[x] if and only if the ideal they generate in z[x] contains a (nonzero) integer
Certain polynomials with integer coefficients fall into the category of substantially prime polynomials in q[x] if and only if the ideal they create in z[x] contains a (nonzero) integer.
What are polynomials?A polynomial is an expression in mathematics that consists of indeterminates (also known as variables and coefficients) that exclusively uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. x2 4x + 7 is an illustration of a polynomial of one uncertain x.
In both mathematics and science, polynomials are widely used. For instance, they are used to define polynomial functions, which can be found in a variety of contexts, from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems.
Calculations:
Let d=degP.
Then the Q-vector space V=Q[X]/(P) is d-dimensional.
The residue classes modulo (P) of X2,X3,X5,… are linearly dependent over Q, so there exist a2,a3,a5,…∈Z not all zero such that a2X2+a3X3+a5X5+⋯∈(P).
This shows that there is Q∈Z[X], Q≠0 such that PQ=a2X2+a3X3+a5X5+⋯.
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Can someone please help with this? And if you do answer, can you please include an explanation on how to do it? I am very confused.
Answer:
Step-by-step explanation: 16. | 2x - 8| = 6
| 2x -8| = 6
+8 +8
____________
2x = 14 divide by 2
x = 7 , 16 will macth section a
Second equation : 19. | 8 - x | = 2
-8 -8
_____________
x=-6 , section c
simplify
the square root of 5 times 3 to the square root of 5
a= 5 and 5/6
b= 5 and 1/6
c= 5 and 2/3
d=5 and 7/6
Answer:
Step-by-step explanation:
C
The assembly time for a product is uniformly distributed between 2 to 10 minutes. what is the value of probability density function in the interval between 2 and 10?
The value of probability density function in the interval between 2 and 10 is 0.125.
What is probability density function?A probability density function (PDF), also referred to as the density of a continuous random variable (CRV), is a mathematical function whose value at any particular sample (or point) in the sample space (the range of possible values that the RCV can take), can be interpreted as providing a relative likelihood that the RCRV's value would be close to that sample. Since there are an infinite number of possible values to begin with, the probability per unit length for a continuous random variable to take on any particular value is 0, but the value of the PDF at two different samples can be used to infer, in any given draw of the random variable, even though the absolute likelihood is zero.
Given the assembly time for a product is uniformly distributed between 2 to 10 minutes.
The Probability density function in the internal between 2&10
pdf=1/10-2 = 1/8pdf = 0.125
The probability density function in the interval between 2 and 10 is 0.125.
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Solve for X. I need help please
I forgot how to do theseee!
Answer: x = 20
Step-by-step explanation:
step 1: Multiply all terms by the same value to eliminate fraction denominators
3/x+4 = 2/x-4
(x-4)(x+4)*3/x+4 = (x-4)(x+4)*2/x-4
step 2: Cancel multiplied terms that are in the denominator
(x-4)(x+4) * 3/x+4 = (x-4)(x+4) *2/x-4
(x-4) *3 =(x+4) *2
step 3: Re-order terms so constants are on the left
(x-4) *3 = (x+4) *2
3(x-4) = 2(x+4)
Step 4: Distribute
step 5: Add 12 on both sides
3x - 12 = 2x + 8
+12 +12
step 6: Subtract 2x both sides
3x = 2x + 20
-2x -2x
step 7: Divide both side
1x/1 = 20/1
x = 20
Tammy received
5
of the 49 votes cast for class vice-president. How many votes did she receive?
7
Write your answer in simplest form.
Answer:
Step-by-step explanation:
you will do 5+49 if u gain something u are adding the answer would be 98
how do I solve
-3(1+6r)=14-r
Answer: -1
Step-by-step explanation:
Multiply -3 to (1+6r)
-3 - 18r = 14 - r
Then, group like terms and change the signs
-18r + r = 14 + 3
Add
-17r = 17
Divide 17 by 17 to solve for r
r = 17/-17
r = -1
Angela is making snack bags for a hiking trip with her friends she has 28 granola bars and 45 package packs of string cheese. If the snacks are to be identical without any food left over how many snack bags can she make.
I need to figure out if its GCF or LCM
If the snacks are to be identical without any food left over only one snack bags can be made by Angela
The number of granola bars = 28
The number of pieces of dried fruit = 45
If the snack bags should be identical without any food left over, then we need to find out the greatest number of snack bags, we should find out the Greatest common factor(GCF) or highest common factor(HCF) between 28 granola bars and 45 packages of string cheese
Since , factors of 28 = 1, 2, 4,7,14,28
Factors of 45 = 1, 3,5,9,15,45
Common factors of 28 and 45 = 1
Greatest Common factors of 28 and 45 = 1
Hence, the greatest common factor of 28 and 45 is 1 as only 1 is the common factor in the factors of 28 and the factors of 45.
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if c is a matrix with five rows and three columns, then what is the minimum possible number of rows of zeros in any row echelon form
the minimum possible number of rows of zeros in any row echelon form is 2
What is echelon form of a matrix?
If a matrix in linear algebra has the structure that comes from a Gaussian elimination, it is said to be in echelon form. The bottom row has solely zeros, as do all other rows. A nonzero row's pivot, also known as the leading coefficient, is always located strictly to the right of the leading coefficient of the row above it.
The row echelon form of 5 × 3 matrix is given by -
[tex]\left[\begin{array}{ccc}1&a&b\\0&1&d\\0&0&1\\0&0&0\\0&0&0\end{array}\right][/tex]
As we can see, the number of rows containing zeros are 2.
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Two babies Carter and Alyssa were born on the same day. Carter was born nine days before his due date. If Alyssa was born two weeks after Carter how many days past her due date was she born?
Answer:
5 days
Step-by-step explanation:
as the photo saying
The sum of three consecutive integers is 108. What are the integers?
smallest integer
middle integer
largest integer
Answer: 58,60,62
Step-by-step explanation:
1. find the numbers; since our middle term is 2n, our other two terms are 2n-2 and 2n+2.
2.Write the equation for the problem.
Therefore, the three consecutive integers are 58,60,62
Which expression has a value of less than 2 when x=5? select all that apply.
A. x to the power of zero divided by 4
B. x to the power of one divided by 7 to the power of zero
C. (50 divided by x to the power of 2) to the power of zero
D. 2( 10 divided by x) to the power of zero
F. x to the power of zero divided by x to the power of 2
The expressions that have numeric value of less than 2 when x = 5 are:
A. x to the power of zero divided by 4.
C. (50 divided by x to the power of 2) to the power of zero
E. x to the power of zero divided by x to the power of 2
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For item a, the expression is:
x^0/4 = 1/4 < 2.
For item b, the expression is:
x/(7^0) = x.
When x = 5, the expression has a numeric value of 5 > 2.
For item c, the expression is:
(50/x^2)^0 = 1 < 2.
For item d, the expression is:
2(10/x)^0 = 2 x 1 = 2 = 2.
For item e, the expression is:
x^0/x^2 = 1/x^2.
When x = 5, the expression has a numeric value of 1/25 < 2.
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Rewrite: [tex]15\frac{1}{6}[/tex]% as a decimal. Round to the nearest thousandths.
Rewriting 15 1/6 as a decimal, rounded to the nearest thousandths, is: 1,516.667.
How to Rewrite a Number as a Decimal?To rewrite the percentage, 15 1/6% as a decimal do the following as shown below:
Convert 15 1/6 from mixed number to an improper fraction:
91/6
Multiply 91/6 by 100:
91/6 × 100
= 9,100/6
Divide
9,100/6 = 1,516.667
Thus, rewriting 15 1/6 as a decimal, rounded to the nearest thousandths, is: 1,516.667.
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B
Name the obtuse angle
A
D
159 160 170
E
Answer: It is m<BAE or measure of angle BAE
Step-by-step explanation:
1. Based by the m<CAE, 135 - 45 equals to 90, so that is not an obtuse angle, m<BAD is the same thing, so those 2 aren't it
2. m<CAD is 65, which is way too low for an obtuse angle, and m<DAE is way too small as well since it's angle is 25, making m<BAE a correct answer
Need help right now with this math problem
Answer:
85
Step-by-step explanation:
To find the mean, you have to add all the scores up and divide it by how many scores there are. In this case, there are seven scores, so we first add them up.
70+75+80+85+90+95+100=595
Now, we divide 595 by 7.
595/7=85
Hope this helps!
Have a wonderful day! :D
Answer: It is 5.3 based by rounding by it's tenth
Step-by-step explanation:
1. Add it all, in this case (3*2) + (7*2) + (8*2) + 1 which equals to 6 + 14 + 16 + 1
2. This then becomes 20 +17, which is 37, which we then divide by 7 becomes 5.285, or 5.3
the median net worth of families headed by a person thirty-five to forty years old was 30 percent less in 2010 than it was for their counterparts in 1983.
Final answer:
The statement that the median net worth of families headed by a person thirty-five to forty years old was 30 percent is a true statement.
In statistics, what does median mean ?In statistics, the median is the value that, when placed in order, falls in the middle of the supplied collection of data. Either ascending or descending order can be used to organize the data or observations. The median of 2,3,4, for instance, is 3. The median is a type of average used to determine the middle value in mathematics. The median is the value that falls in the middle when a group of values are arranged from smallest to greatest. The value that appears the most frequently in the set is the mode. In cases where the distribution is skewed or contains outliers, the median is the most illuminating indicator of central tendency.
Explanation:
The net-worth of families have a drastic change when compared to previous years as the economy has developed and while comparing the net-worth of income between years, the median method is useful in all ways and so the median net worth of families headed by a person thirty-five to forty years old was 30 percent less in 2010 than it was for their counterparts in 1983 is proved to be true.
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Write an expression to represent the number of seconds since that hare began the race in terms of the number of seconds X since the Tortoise started the race
Answer:
write an expression to repersent the number of seconds since that hare began the race in terms of the number of seconds x since the tortise started the race
Step-by-step explanation:
Answer:
Step-by-step explanation:
88 + 32 = 8(___ + 4)
make an equation for a line that goes through (-1,-2) (-2,-5)
Answer: y=3x+1
Step-by-step explanation:
Slope formula: m=(y2-y1)/(x2-x1)
m=(-5-(-2))/(-2-(-1))
m=(-5+2)/(-2+1)
m=(-3)/(-1)
m=3/1
m=3
y=mx+b
-2=3(-1)+b
-2=-3+b
b=1
y=3x+1
A-18. Evaluate the expressions below for the given values.
a. 4d +3 if d=-1
b. x² + y2 if x = 7 and y = 5
Answer:
- 1 and 74
Step-by-step explanation:
a
substitute d = - 1 into the expression
4d + 3
= 4(- 1) + 3
= - 4 + 3
= - 1
b
substitute x = 7 and y = 5 into the expression
x² + y²
= 7² + 5²
= 49 + 25
= 74
which expression uses the greatest common factor and the distributive property to rewrite the sum 75 45?
The expression uses the greatest common factor and the distributive property to rewrite the sum 75+45 is 15(5+3)
The greatest common factor is the greatest factor that divides both numbers.
The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation
Given,
75=3×5×5
45=3×3×5
The greatest common factor = 3×5=15
Then,
(75+45)=15(5+3)
Hence, the expression uses the greatest common factor and the distributive property to rewrite the sum 75+45 is 15(5+3)
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Your scores on your first two games of bowling were 134 and 115. What score do you need on your third game to get an average score of 125? Pls answer this asap i need this in the next hour!
Answer:
(
Step-by-step explanation:
(135+115+x)/3=125.
250+x=375
x=125.
thus third score must be 125
estimate the number of gallons of gasoline consumed by the total of all automobile drivers in the u.s., per year. suppose that there are about 3 × 108 people in the united states, approximately half of the them have cars, each car drives an average of 12,000 mi per year, and consumes a gallon of gasoline for each 20 mi .
The number of gasolines is 1,800,000 miles driven.
What are gasolines?Gas is known as an aliphatic hydrocarbon. All in all, gas comprised of particles made out of nothing, yet hydrogen and carbon organized in chains. Fuel particles have from seven to 11 carbons in each chain. Gas or petroleum is a straightforward, oil determined combustible fluid that is utilized principally as a fuel in most flash touched off gas powered motors. Fuel is as of now thought to be frozen in the event that it transforms into a thick slop or wax. To absolutely keep away from frozen gas inside the vehicle, center around forestalling the fuel line from freezing during winter. Fuel fumes are heavier than air, so they choose the ground and travel like a fluid. Along these lines, they frequently track down their direction into channels, storm cellars, and sewer lines.
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12.
2
-
Do not write
Mrs Chandra bought as many pears as apples and as many in this spac
5
mangoes as apples. She paid a total of $150 for all the fruits. The
ratio of the amount of money she spent on the apples to the amount
she spent on the pears was 3:2. The ratio of the amount of money
she spent on the pears to the amount of money she spent on the
mangoes was 1:5. The cost of each apple was $0.60. Find the total
number of fruits Mrs Chandra bought.
50 is the total number of fruits Mrs Chandra bought in ratio .
What does a math ratio mean?
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.a total of $150 for all the fruits.
ratio of apple and pears = 3: 2
ratio of pears and mangoes = 1 : 5
5 units = 50
11 units = 110
15 units = $150
3 units = $30
number of apple = $30 ÷ $0.60 = 50
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If the surface area of a cube is 125 square inches what is the length of a slide
The length of a side of cube is 4.56 Inches whose surface area is 125 square inches .
The definition of the surface area of a given cube is that the total surface area is equal to the sum of the areas of all the sides of the cube. Since a cube has 6 faces The formula for surface area is equal to 6 times the square of the side of a cube. If the side length of the cube is a, area of the cube is given by [tex]AREA=6a^2[/tex] ...(1)
It is given that surface area of a cube is 125 square inches
Putting area = 125 in equation (1) , we get
[tex]125=6a^2\\a^2=20.33\\a=4.56 \ in[/tex]
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