The equation that has exactly one solution will be 2x + 31 = - 2x - 31. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equations are given.
Check whether the equation is linear or not.
1. 2x + 31 = 2x - 31, this is not a linear equation.
2. 2x + 31 = - 2x - 31, this is a linear equation.
Then the solution of the linear equation will be
4x = - 62
x = - 15.5
3. 2x + 31 = 2x - 31, this is not a linear equation.
4. 2x - 2 = 2x - 31, this is not a linear equation.
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find the surface area of the trianlurprisum.
Answer: 56
Step-by-step explanation:
you multitouch answers I think
Simplify the fraction
I need help with the last question is it
per _______
What???
Month
Orrr
And explain why because you better be freakin right
Answer: Month
Step-by-step explanation: x represents the number of months, and because the equation is for number of clients per something, it would be month. I hope that helps!
What is the best estimate for the length of a dollar bill?
150 centimeters
15 meters
15 centimeters
150 meters
Answer:
15cm
Step-by-step explanation:
150 meters are too long since 1 meter is about one big step.
15 meters would also be too long.
150 centimeters is the same as 1.5 meters, which is also too long.
5. A TV program received 7.4 points of audience rating at the first week of its opening. Then, because many advertisements were inserted, its audience rating dropped by 25% at the second week. What was the audience rating at the second week? points Enter the answer Check it skip
Answer:
5.55 points
Step-by-step explanation:
25% reduction so its 75% of the original value
75% of 7.4 is 5.55
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y=3x+7
Step-by-step explanation:
take two points, (1,13) (2,19)
subtract using slope formula
19-13 2-1= 6/1 -> 6-> 3
find your y intercept (b) by using the first term in the 7 row (7)
Answer:
y = 3x +
Step-by-step explanation:
The equation of the line is given by:
----------------------------
The equation of a line, in slope-intercept formula, has the following format:
In which
m is the slope, that is, how much y changes when x changes by 1.
b is the y-intercept, that is, the value of y when x = 0.
----------------------------
Given two points (x,y), the slope is the change in y divided by the change in x.
We have points (-1, -1) and (3,11). Thus:
Then
----------------------------
Point (-1,-1) means that when , and we use this to find b.
Thus
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Given that XY is a line segment with the angle a = 46 degrees, work out the value of the angle marked b.
B = ?
Answer:
The answers should be b=44°
Step-by-step explanation:
b=180°–90°–a
b=180°–90°–46°
b=44°
Father brought a carton of fruits. Total fruits in it are 150. 15 percent of them are rotten. Find the number of fresh mangoes
Answer: 127
Step-by-step explanation:
150 fruits times 15% = 22.5 rotten fruits
150 total -22.5 rotten=127.5 fres fruits
You can't have half a fruit so I chose to round down to 127
3 pts What is the Slope-Intercept form of the equation of a line that passes through the point (-6, -3) and is parallel to the line y = 2x – 3?
- - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the S.I. form of the equation that passes through (-6,3) and is parallel to y=2x-3?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
Parallel lines have the same slope.
[tex]\bigstar[/tex] The line y=2x-3 has a slope of 2, therefore, the line parallel to it has a slope of 2.
Now let's write the equation of the new line in point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Replace y1 with -3, m with 2, and then write -6 in lieu of x1:-
[tex]\sf{y-(-3)=2(x-(-6)}[/tex]
On simplification,
[tex]\sf{y+3=2(x+6)}[/tex]
On further simplification,
[tex]\sf{y=2x+12-3}[/tex]
Which results in:-
[tex]\sf{y=2x-9}[/tex]
▲ our slope-intercept equation
Good luck with your studies.-- - - - - - - - - - - - - - - - - - - - - - - - -
Consider an isosceles trapezoid rotated about an axis of symmetry that passes through the midpoint of the bases. the minor base of the trapezoid is 10 cm and the major base is 13 cm. what is the perimeter of the horizontal cross section if the cut is made at the middle of the height of the trapezoid?
Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.
How to calculate the perimeter?In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.
Given the following data:
Minor base = 10 cm.Major base = 13 cm.From the middle, the diameter of this circle is given by:
D = 1/2 (10 + 13)
D = 11.5 cm.
Now, we can calculate the perimeter:
Perimeter = πD
Perimeter = 3.142 × 11.5
Perimeter = 36.13 cm.
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Help me please I beg
Answer:
see explanation
Step-by-step explanation:
(a)
calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = O (0, 0 ) and (x₂, y₂ ) = A (- 5, 2 )
[tex]m_{OA}[/tex] = [tex]\frac{2-0}{-5-0}[/tex] = [tex]\frac{2}{-5}[/tex] = - [tex]\frac{2}{5}[/tex]
(b)
the angle between a tangent and a radius at the point of contact is 90°
given a line with slope m then the gradient of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex]
(c)
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = [tex]\frac{5}{2}[/tex] , then
y = [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
to find c substitute A (- 5, 2 ) into the partial equation
2 = - [tex]\frac{25}{2}[/tex] + c ⇒ c = 2 + [tex]\frac{25}{2}[/tex] = [tex]\frac{29}{2}[/tex]
y = [tex]\frac{5}{2}[/tex] x + [tex]\frac{29}{2}[/tex] ← equation of tangent
You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What is the range of the data for the 2018 data?
Range = maximum value - minimum value
The range is $0.39 which is the difference of the max value and min value.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have data given:
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
As we know, the range = Max value—Min value
Here, Max = $2.42
Min = $2.03
Range = 2.42 - 2.03 = $0.39
Thus, the range is $0.39 which is the difference of the max value and min value.
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1 AB is tangent to circle O at B. The diagram is not drawn to scale. If AB=12 nd AO=15, what is the length of the radius (r)
Answer:
r = 9 units
Step-by-step explanation:
since AB is a tangent to the circle at B , then ∠ ABO = 90°
so Δ ABO is a right triangle
using Pythagoras' identity in the right triangle
OB² + AB² = AO² , that is
r² + 12² = 15²
r² + 144 = 225 ( subtract 144 from both sides )
r² = 81 ( take square root of both sides )
r = [tex]\sqrt{81}[/tex] = 9
Please solve this puzzle
Answer:
a = 25 m²
b = 5 m
c = 7.94 m
d = 35.73 m²
Code: H I A B
Step-by-step explanation:
Formulae
Pythagoras’ Theorem: [tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Area of a square = x² (where x is the side length)
------------------------------------------------------------------------------------------------------
Assuming that all the quadrilaterals are squares.
Side length of blue square with area 16 m² = √16 = 4 m
Side length of yellow square with area 9 m² = √9 = 3 m
Use Pythagoras' Theorem to find the length of b:
[tex]\implies 4^2+3^2=b^2[/tex]
[tex]\implies b^2=25[/tex]
[tex]\implies b=\sqrt{25}[/tex]
[tex]\implies b=5\: \sf m[/tex]
Now we have found length b, we can find area a:
[tex]\textsf{Area a}=b^2=5^2=25\: \sf m^2[/tex]
Side length of purple square with area 144 m² = √144 = 12 m
Side length of green square with area 81 m² = √81 = 9 m
Use Pythagoras' Theorem to find the length of c:
[tex]\implies 9^2+c^2=12^2[/tex]
[tex]\implies c^2=63[/tex]
[tex]\implies c=\sqrt{63}[/tex]
[tex]\implies c=3\sqrt{7}[/tex]
[tex]\implies c=7.94\: \textsf{(nearest hundredth)}[/tex]
Now we have found length d, we can find area d:
[tex]\textsf{Area d}=\dfrac{1}{2}(9)(7.94)=35.73\: \sf m^2[/tex]
Code: H I A B
Find b
√16+9√255#a
Area
b²5²25m²H
#b
Done already
I#c
√144-81√63c=7.94A
#d
1/2(7.94)(9)35.73m²B
Code is
HIAB3 yards 5 feet 6 inches
X 7=?
F- 32 yards 2 feet
6 inches
G-
33 yards 2 feet
6 inches
H- 33 yards 2 feet
9 inches
J- 34 yards 2 feet
6 inches
K- none of these
3 yards 5 feet 6 inches X 7 is 33.833333 yards. The correct option is K- none of these.
Numbers of yardsFirst step
One yard is 36 inches hence:
3 yards 6 inches=(36 inches×3)+6 inches
3 yards 6 inches=108 inches+6 inches
3 yards 6 inches=114 inches
Second step
5 Feet to inches=5 ft×12
5 feet to inches=60 inches
Third step
Yards=[(114 inches+60 inches)×7]/ 36 inches
Yards=(174 inches×7)/ 36 inches
Yards=1,218 /36 inches
Yards=33.833333
Therefore the correct option is K- none of these.
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PLEASE HELP WILL MARK BRAINLIEST
only number 8
Answer:
a=646.84 c=113.04
Step-by-step explanation:
Which tables could be used to verify that the functions they represent are inverses of each other? select two options.
The tables that can be used to show that the functions that made them are inverses of each other are the tables attached.
Which tables have functions that are the inverse of each other?When functions are inverses of each other, they will give inverted x and y values.
This means that the value of x for one function, will be the value of y for the other function.
The tables that have inverse functions will therefore have a table where x values of:
627, 227, 27, 2, and 27 which will be y values in the other table.
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in the figure below, lines p and q are parallel. What do you notice?
35 points
Answer:
Answer:
A
Step-by-step explanation:
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Step-by-step explanation:
Answer:
Angle 4 and 5 are both obtuse angles. There measurements are greater than 90 degrees and less than 180 degrees. Angle 4 and 5 could be either a 120 degree angle or a 130 degree angle.
Help asap.
Given the expression: 5x^10 − 80x^2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B:Factor the entire expression completely. Show the steps of your work. (6 points)
Answer:
5x² ( x² - 2x + 2 ) ( x² + 2x + 2 ) ( x² + 2 ) ( x² - 2 )
Step-by-step explanation:
→ Find the highest common factor from 5 and 80
5
→ Find the highest common factor of x¹⁰ and x²
x²
→ Write the partially factored form
5x² ( x⁸ - 16 )
→ Factor down ( x⁸ - 16 )
( x⁴ + 4 ) ( x⁴ - 4 )
→ Factor down ( x⁴ + 4 ) ( x⁴ - 4 )
( x² - 2x + 2 ) ( x² + 2x + 2 ) ( x² + 2 ) ( x² - 2 )
Answer:
5x^2(x^8 -16)5x^2(x^2 +2x +2)(x^2 -2x +2)(x^2 +2)(x^2 -2)Step-by-step explanation:
The greatest common factor is that factor that includes every prime factor that is found in both expressions. Once that is removed, the formula for the factorization of the difference of squares is needed.
__
AEach expression factors as ...
5x^10 = 5·x^2·x^8
80x^2 = 5·x^2·16
The common factors in these expressions are 5, x^2, so the expression with the greatest common factor factored out is ...
5x^2(x^8 -16)
__
BThe remaining factor is the difference of squares, which factors as ...
a² -b² = (a -b)(a +b)
Here, we have a=x^4 and b=2^2, so the factors of the difference are ...
x^8 -16 = (x^4 -4)(x^4 +4)
The first of these factors is also recognizable as a difference of squares, so it can be factored further:
x^4 -4 = (x^2 -2)(x^2 +2)
The second factor can also be cast as the difference of squares, allowing it to be factored further:
x^4 +4 = (x^4 +4x^2 +4) -(4x^2) = (x^2 +2)^ -(2x)^2
= (x^2 +2x +2)(x^2 -2x +2)
So, the complete factorization of the original expression is ...
5x^10 -80x^2 = 5x^2(x^2 +2x +2)(x^2 -2x +2)(x^2 +2)(x^2 -2)
_____
Additional comment
We could factor to linear terms if we wanted to use radicals and complex numbers. This is the factorization in integers.
find the probability of a freshman being called on in class if there are 12 sophomores, 10 juniors, 14 seniors, and 8 freshmen.
Answer:
18%
Step-by-step explanation:
8/44
Answer:
18% or 8/44
Step-by-step explanation:
add 12+10+14+8=44 then do 8/44
Sally is packing for a holiday when she realizes that she only has enough room in her suitcase for two pairs of shoes. She randomly selects two pairs to pack from the 31 pairs of shoes that she owns in total.
If Sally has 6 pairs of high heels, what is the probability that she packs at least one pair of these?
Probability =__________
Using the hypergeometric distribution, it is found that there is a 0.3548 = 35.48% probability that she packs at least one pair of high heels.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, we have that:
She has 31 pairs of shoes, hence N = 31.She has 6 pairs of high heels, hence k = 6.She selects two pairs, hence n = 2.The probability that she packs at least one pair of high heels is given by:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,31,2,6) = \frac{C_{6,0}C_{25,2}}{C_{31,2}} = 0.6452[/tex]
Then:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.6452 = 0.3548[/tex]
0.3548 = 35.48% probability that she packs at least one pair of high heels.
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Write the system of equations and construct the corresponding matrix model for the following exercise.Suppose that one of three different alleles is present in each individual in a population. In each generation the following happens: 8% of individuals carrying allele X mutate to carry allele Y, 6% mutate to allele Z; and the rest remain unchanged; 0.1% of individuals carrying allele Y mutate to carry allele Z and the rest remain unchanged; 90% of individuals carrying allele Z mutate to carry allele X and the rest remain unchanged.
The system of equations and the corresponding matrix model for the following above is given and explained below.
What is a system of equations?A system of Equations refers to a set of equations that one must solve or interact with all at once.
What is the system of equation for the exercise above?Let's call the person who carries alleles X, Y, and Z - Xt, Yt, and Zt, respectively.
Also, lets assume that 5 percent of X alleles mutate from X to Y and 3 percent mutate from X to Z in each generation, thus the percent of X alleles remains constant at:
100 - (5 percent + 3 percent) = 92 percent.
Also, because only 0.1 percent of Y alleles evolve from Y to Z, the percentage of Y alleles remains constant at 99.9%.
We must also consider that 90 percent of Z alleles do not change from Z to X, implying that 10% of Z alleles are indifferent.
Hence, the various equations describing the system will be given as:
Xt+1 = 0.92Xt + 0.92Zt
Yt+1 = 0.05Xt + 0.999Yt
Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt
or
Xt+1 = 0.92Xt + 0.000Yt + 0.9Zt
Yt+1 = 0.05Xt + 0.999Yt + 0.0Zt
Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt.
The Matrix Model is given as follows:
[tex]\begin{bmatrix}X_{t+1} \\Y_{t+1} \\Z_{t+1} \end{bmatrix}[/tex] = [tex]\left[\begin{array}{ccc}0.92&0&0.9\\0.05&0.999&0\\0.03&0.001&0.1\end{array}\right][/tex] = [tex]\begin{bmatrix}X_{t} \\Y_{t} \\Z_{t} \end{bmatrix}[/tex]
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Examine the ordered pairs in this function.
(8,5), (-3,8), (11,-1), (10,-5), (4,4)
True or False: This relation IS a function.
True
False
Answer:
True
Step-by-step explanation:
A relation is a function when each input has exactly one output. Looking at the coordinates given, none of the inputs(x-values) are repeated. Therefore, the relation is a function.
Find three consecutive even integers such that the sum of 5 and the second is multiplied by -7, the result is 11 greater than 5 times the opposite of the third
Answer:
-20, -18, -16
Step-by-step explanation:
For consecutive integer problems, it often works well to let a variable represent the middle one (or their average value).
__
Here, we can let x represent the second integer. Then the first is (x-2), and the third is (x+2). The given relation can be written as ...
(5 +x)(-7) = 11 +5(-(x+2))
-35 -7x = 11 -5x -10 . . . . . . eliminate parentheses
-36 = 2x . . . . . . . . . add 7x -1
-18 = x . . . . . . . . divide by 2
The three integers are -20, -18, -16.
step right up for a brainilest
Answer:
0, 2/5, 1/6,-3/4,-7/10
Step-by-step explanation:
this is just what i think i didint understand the no spaces or no commas or negatives thing but here you go i hope its right
hi I'm having some trouble
Answer:
4-4
Step-by-step explanation:
Substitute the actual values of the points into the distance formula.
Round 6254 correct to 1 signature figure
Answer:
6000
Step-by-step explanation:
6.25×10 3x 6.3×10 3x6×10 3×Please help!!! Anything is helpful!
Step-by-step explanation:
Equation to find the sum of the first n terms :
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] x (2[tex]a_{1}[/tex] + (n - 1)d)
- where n is the first n terms
- where [tex]a_{1}[/tex] is the first term in the sequence
- where d is the difference (To find the difference: [tex]a_{1}[/tex] - [tex]a_{2}[/tex])
How to find n for the given sum :
1. Using the previous equation, plug in all the numbers that you know
2. PEMDAS then combine all like terms
3. Distribute what's on the outside to the inside of the parenthesis
4. Move [tex]S_{n}[/tex] to the other side to make a quadratic equation
5. Solve the quadratic, then use the positive number and round that number (term of numbers that isn't whole isn't possible ig??)
Question 1:
Sum of first 10 terms : [tex]S_{10}[/tex] = [tex]\frac{10}{2}[/tex] ( 2 x 2 + (10 - 1)6)
[tex]S_{10}[/tex] = [tex]\frac{10}{2}[/tex] (4 + (9)6) = (4 + 54) = 58
[tex]S_{10}[/tex] = [tex]\frac{10}{2}[/tex] x 58
Answer : 290
Find n for the given sum : 1704 = [tex]\frac{n}{2}[/tex] x (2 x 2 + (n - 1)6)
distribute 6 into (n-1)
1704 = [tex]\frac{n}{2}[/tex] x ( 4 + 6n - 6)
combine like terms
1704 = [tex]\frac{n}{2}[/tex] x ( -2 + 6n )
Distribute [tex]\frac{n}{2}[/tex] to ( -2 + 6n )
1704 = [tex]\frac{-2n}{2}[/tex] - [tex]\frac{6n^{2} }{2}[/tex]
Simplify fractions and move 1704 to the other side
-3[tex]n^{2}[/tex] - n + 1704 = 0
Use a quadratic calculator to find the answer and use the answer with the whole number
Answer : -24
Question 2:
(i'm just gonna show you the answers for the rest of them-)
Sum of the first 14 terms: 490
Find n for the given sum: 33.65 (I'm gonna round it to 34)
Question 3:
Sum of the first 21 terms: 483
Find n for the given sum: 11.48 (rounded: 11)
Question 4:
Sum of the first 32 terms: -1328
Find n for the given sum: -9.34 (rounded -9)
really hope this helps in any way :D
Find the volume of this right triangular prism 5cm 8 cm 3 cm
Answer:
I can help, but can you label which is base, height, and length
Step-by-step explanation:
Find the solution to the equation below.
2x²+3x-20=0
Answer:
[tex]x=\frac{5}{2}[/tex] or x= -4
Step-by-step explanation:
To solve the quadratic equation, start by factorizing it.
[tex]2x^{2} +3x-20=0[/tex]
(2x -5)(x +4)= 0
Since the equation equals to zero, either one of its factor, i.e. (2x -5) or (x +4), can be equal to zero.
2x -5= 0 or x +4= 0
Solve for x:
2x= 5 or x= -4
[tex]\bf{x=\frac{5}{2}}[/tex]
_______
Alternatively, the quadratic formula can be used to solve the equation.
[tex]\boxed{x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} }[/tex]
This is especially useful when the quadratic equation cannot be factorized. To use the formula, ensure that the equation is in the form of [tex]ax^{2} +bx +c=0[/tex].
Additional:
For an example on solving quadratic equations using the quadratic formula, do check out the following!
https://brainly.com/question/27739892