PLEASE HELP!!!
The two lines graphed below are parallel. How many solutions are there to the system of equations?
A. Zero
B. Two
C. One
D. Infinitely many
Answers
Answer:
Step-by-step explanation:
It would be D.
Related Questions
An engineering technician makes $25 an hour for the first 40 hours she works
during a week and $32 an hour for each hour over 40 hours. Which piecewise
equation models her total weekly pay y in dollars as it relates to the number
of hours x that she has worked during the week?
O A. y=
O C. y =
(25x
132(x-40)+1000
OB. y=-
OD. y=
[25x
132x+1000
(25x
(32(x-40)
(25x
132x
0≤x≤ 40
x> 40
0≤x≤ 40
x> 40
0≤x≤ 40
x> 40
0≤x≤ 40
X> 40
SUBMIT
Answers
The Piecewise Function be
25x when x < 40
y =
1000+32(x-40) when x > 40
Given, an engineering technician makes $25 an hour for the first 40 hours she works.
and $32 an hour for each hour over 40 hours.
Let the number of hours be x and her total weekly pay in dollars be, y
then the piecewise function,
25x when x < 40
y =
1000+32(x-40) when x > 40
Hence, the piecewise function be
25x when x < 40
y =
1000+32(x-40) when x > 40
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Heeelllllllllllp Simplify the expression completely.
√144 +18 √12-5√64
Answers
12 + 36*root(3) - 40
-28 + 36*root(3)
Answer: A
in a hypothesis testing that you are conducting, you determine the confidence level needed is 99%. for you to reject the null hypothesis, the p-value needs to be:
Answers
The answer to the given question is <0.01.
What is confidence level?
The confidence level is the percentage of times we expect to get near to the same approximate if we run our experiment again or resample the population in the same way. The confidence level is the probability that the null hypothesis is true.
What is p-value?
P-value is the probability of getting the results you did, given that the null hypothesis is true.
When we are conducting a hypothesis testing and we determine the confidence level needed is 99%; then in order to reject the null hypothesis, the p-value needs to be below 0.01 (<0.01).
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a classroom of children has 18 boys and 19 girls in which five students are chosen at random to do presentations. what is the probability that more boys than girls are chosen? a) 0.1334 b) 0.4731 c) 0.0197 d) 0.4535 e) 0.3398 f) none of the above.
Answers
The probability that more boys than girls are chosen is 0.4731. So option b is correct.
Combination:
The act of combining or the state of being combined. A number of things combined: a combination of ideas. something formed by combining: A chord is a combination of notes. an alliance of persons or parties: a combination in restraint of trade.
Here it is given that there are 18 boys and 19 girls and 5 students are chosen.
We have to find the probability that more boys than girls are chosen.
Probability = [tex]C^{5} _{18}[/tex] + [tex]C^{4}_{18} C^{1} _{19}[/tex] + [tex]C^{3} _{18} C^{2} _{19}[/tex] / [tex]C^{5}x_{37}[/tex]
= 8568 + 58140 + 139536 / 435897
≈ 0.4731
Therefore the probability is 0.4731.
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Compare the following fraction 8/14 and 4/7
Answers
Answer:
These fractions are equivalent, with 4/7 being the simplest form of both.
Step-by-step explanation:
8/14 can be simplified to 4/7 also by dividing both sides by two :)
sara has 20 sweets
12 liquorice sweets , 5 mint sweets and 3 humbugs.
sara takes two random sweets
work out probability that the two sweets will not be the same
Answers
If sara takes two random sweets. The probability that the two sweets will not be the same is :111/190.
How to find the probability?Probability of getting two of each sweet:
P( Liquorice) = (12/20)×(11/19)
P (Liquorice) =132/380
P (mints) =(5/20)×(4/19)
P (mints) =20/380
P (Humbugs) =(3/20)×(2/19)
P (Humbugs) =6/380
Probability that two sweets will be the same
P(same) =132/380+20/380+6/380
P(same) =158/380
Hence,
Probability that two sweets will not be the same
P(not same) = 1- (158/380)
P(not same) =380 -158 /380
P(not same) = 222 /380
P(not same) =111 /190
Therefore the probability is 111/190.
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it is given that I = PRT/100
express P in terms of I, R and T
Answers
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
Let's express P (principle) in terms of I, R and T
[tex]\qquad \sf \dashrightarrow \: I= \dfrac{PRT}{100} [/tex]
[tex]\qquad \sf \dashrightarrow \: PRT = I \sdot 100[/tex]
[tex]\qquad \sf \dashrightarrow \: P = \dfrac{I \sdot 100}{RT} [/tex]
and that's it ~
P can be expressed in terms of I, R, T as P=100×I / (R×T)
Given equation
I=PRT/100
100 × I = PRT
100 × I / RT = P
P = 100 × I / RT
This formula is used to calculate Simple Interest, where P= Principal, I= Intrest to be Calculated. R= Annual rate of interest, T= Time (in years). Here one will shift the 100 from the denominator and multiply with the I next we will move the rate and time from the numerator to the denominator. The equation we now get will be in terms of I, R, and T and one can find the Principal using this equation.
I hope this answer helps.
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help again for a friend
Answers
The required equation of slope is y = x/2 + 6
Given : y = 3x + 6
this is of the form y = mx + c
thus on comparing we get
the slope or m = 3
And the y intercept = 0, 6
It is also given that we have to find the equation of the slope which passes through the point ( -2, 5 )
thus the two points are:
( -2, 5 ) and ( 0,6 )
Thus the slope or m = y2 - y1/ x2 - x1
=> m = 6 - 5 / - ( -2 )
m = 1/ 2
Thus the equation of the slope is
y - y₁ = m ( x - x₁ )
₁Substituting the value of m from above we get
y - 5 = 1/2 ( x + 2 )
this implies 2y - 10 = x + 2
x - 2y = - 12
or we can also write this as
y = x/2 + 6
Refer to the graph given below for further understanding.
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Sophia earned $36 at her job when she worked for 4 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
Answers
The ratio when Sophia earned $36 at her job when she worked for 4 hours is 1:9.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
From the information, Sophia earned $36 at her job when she worked for 4 hours.
The equivalent ratio to illustrate the information will be:
= 4 / 36
= 1/9
= 1:9
Note that the coordinates point weren't given in the question.
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a fair coin is tossed 28 times. what is the probability that at most 25 tails occur? a) 0.99998628 b) 0.00000152 c) 0.99999848 d) 0.00001220 e) 0.01001372 f) none of the above.
Answers
The probability that at most 25 tails occur is 0.99999848.
We know that,
P(x = x) = ⁿCₓ × pˣ × [tex]q^{n-x}[/tex]
p = probability of success = 0.5
n = number of trials = 28
q = 1 - p = 0.5
The probability of the tail occurring at most 25 times can be written as
P(X ≤ 25) = P (X = 0) + P(X = 1) + ..... + P(X = 25)
Using a binomial probability calculator,
P(X ≤ 25) = 0.99999848
Therefore the probability that at most 25 tails occur is 0.99999848
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HELP MEEE PLEASEEEEEE
Answers
Answer:
Length YZ is about 16.2 cm (to the first decimal place)
Step-by-step explanation:
In order to find the lenth YZ we need to know the the Pythagorean theorem which is a²+b²=c² (or leg² + leg² = hypothnose)
For this problem let a = line segment XY, let b = YZ and let your hypothnose (c) to be ZX
Substitute your known values in the equation so we know a = 5 cm and c = 17 cm so we can apply it in our equation 5²+ b² = 17² Square your known values in this case 5² and 17² which is 25 and 289 respectively. The equation is now 25+b²=289 Do the inverse operation to Isolate you unknown variable which is b. We do this by subtracting 25 on both sides after doing so the equation is now b²= 264 Square root both sides of the equation the point is to get rid of the squared part of b². After doing so your answer is b = 16.2480768093Round to the first decimal place the two remains the same so the final answer is 16.2 cmI need help like asap !!!
only numbers and decimal points
Answers
Need help. I also need to show my work
Answers
The factors of the expression (x³ - 6x² + 3x + 10) are (x + 1), (x - 2), and (x - 5).
We are given a mathematical expression. The expression is cubic in nature. We need to find the factors of the algebraic expression. Let the expression be represented by the variable "E". The expression consists of three terms. Hence, the expression is trinomial. The expression is given below.
E = x³ - 6x² + 3x + 10
One of the factors in the expression is already given. The given factor is (x + 1).
Now we will perform the long division method on the expression to break it into the given factor and a quadratic expression.
E = (x + 1)(x² - 7x + 10)
Now we will factorise the quadratic expression.
E = (x + 1)[x² - 2x - 5x + 10]
E = (x + 1)[x(x - 2) - 5(x - 2)]
E = (x + 1)(x - 2)(x - 5)
We cannot simplify and factorise the expression any further.
Hence, the factors of the expression are (x + 1), (x - 2), and (x - 5).
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Against the Wind a small plane flew 858 miles in 2 hours and 10 minutes the return trip only took 1 hour and 50 minutes what was the speed of the wind?what was the speed of the plane in still air?
Answers
Let the speed of the small plane be 'R'.
Let the speed of the wind be 'S'.
Plane's time against wind = 2 hours and 10 minutes = 13/6 hours.
Plane's time with wind = 1 hour and 50 minutes = 11/6 hours
Use formula;
Distance = speed x time
Against the wind:
858 = (13/6) (R-S) = (13/6) R - (13/6)S
With wind:
858 = (11/6)(R + S) = (11/6)R + (11/6)S
Multiplies each by 6.
5148 = 13R - 13S
5148 = 11R + 11S
Use elimination method
56628 = 143R - 143S (multiplies by 11)
66924 = 143R + 143S (multiplies by 13)
Further solving;
123552 = 276R
R = 432 miles/ hr. (speed of small plane )
And, S = 36 miles/ hr. (speed of wind)
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Please help me please help me
Answers
Answer:
the answer Is 6 .........
Meg measured the length of some pieces of wire. What is the difference in length between the longest and shortest piece of wire?
Answers
Answer:
6 inches---------------------------------
As per the diagramShortest piece = 3 inLongest piece = 9 inThe difference9 in - 3 in = 6 inAnswer:
Difference = 6 inches
Step-by-step explanation:
Given information,
→ Meg measured the length of some pieces of the wire.
Now we have to,
→ find the difference between the longest and shortest piece of wire.
Then the difference will be,
→ Longest wire - Shortest wire
→ 9 - 3
→ 6 inches
Hence, the difference is 6 inches.
I NEED HELP ME PLEASE!!!
Answers
Answer:
I hope this is right
TG = 34 TG=34 inches
From the figure
PQR is a triangle
PS, QT are medians of the triangle
G is the centroid
Step 1: Calculate the segment of the median (TG = ? )
We know that
Each median is divided into segments with a 2:1 ratio by the triangle centroid.
\therefore \frac{TG}{GQ} = \frac{2}{1} ∴
GQ/TG = 1/2
TG = 2 GQ TG=2GQ
TG = 2 * 17 TG=2∗17
TG = 34 TG=34
Hence, segment of the median TG = 34 inches
Please help geomatry 9th grade
Answers
The statements that are a result of corresponding parts of congruent triangles being congruent are:
EFGH has four congruent sidesDiagonal FH is perpendicular to side FEAngle FEH is congruent to angle FGHWhat is an isosceles triangle?An isosceles triangle is a type of triangle with two equal sides and angles. The other types of triangle includes;
Equilateral triangleRight angle triangleScalene triangleFrom the figure;
Sides EFGH are congruent, that is, equal
Since Sides EFGH are congruent, it can not be a rectangle, it is a square.
Triangle FGH and FEH are both isosceles triangle.
Diagonal FH bisects triangle FGH and FEH
So therefore, the isosceles triangle FGH and FEH are congruent and bisected by diagonal FH.
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Please help
At the beginning of spring, London planted a small sunflower in her backyard. The sunflower's height in inches,
h
h, after
w
w weeks, is given by the equation
h
=
4
w
+
15
h=4w+15. What could the number 4 represent in the equation
The change in the sunflower's height for every one additional week.
The sunflower's height after one week.
The sunflower's final height
The sunflower's height after 0 weeks.
Answers
in a certain year, 13,839 professional train pushers are diagnosed with carpal tunnel. the top cities for such diagnoses are tokyo with 2,551, osaka with 3,049, and kyoto with 1,436. if a professional train pusher recently diagnosed with carpal tunnel is randomly selected, what is the probability that they are from somewhere other than tokyo, kyoto or osaka?
Answers
Probability that the professional other than Tokyo, Kyoto or Osaka is 6803/13839.
Total number of professional train pushers who are diagnosed with carpal tunnel is 13839
Number such professional from Tokyo = 2551
Number such professional from Osaka = 3049
Number such professional from Kyoto = 1436
So, number such professional from other than these three cities = 13839 - (2551+3049+1436) = 6803
Hence the probability that the professional other than Tokyo, Kyoto or Osaka is = 6803/13839
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Vertex of f(x) = |2x + 3
Answers
The vertex of the equation given as .f(x) = |2x + 3| is (-3, 0)
What is the vertex?The vertex of a function or an equation is the minimum or the maximum point on the function
How to determine the vertex of the graph?From the question, we have the equation of the function to be
f(x) = |2x + 3|
The above function is an absolute value function
An absolute value function is represented as
f(x) = a|x - h| + k
Where the vertex is represented as
Vertex = (h, k)
By definition, a graph that has a vertex would have an obvious maximum or minimum point on it
By comparing the equations f(x) = a|x - h| + k and f(x) = |2x + 3| to determine the vertex, we have
(h, k) = (-3, 0)
This means that
Vertex = (-3, 0)
Hence, the vertex of the equation is (-3, 0)
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The sides of a triangle are in the form of consecutive even integers. If its perimeter is 48cm, find the
measure of each side.
Answers
Answer:
The sides of the triangle would be 14, 16, and 18.
Step-by-step explanation:
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May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Step 1 5x + 9 = 2x - 3
Step 2 3x + 9 = -3
Step 3 3x = -12
Step 4 x = -4
What operation did he perform to get from step 1 to step 2
Answers
Answer:
He subtracted a term of [tex]2x[/tex] from both sides of the equation.
What number is 763 less than 850.08?
Answers
Answer:
87.08.
850.08 - 763 = 87.08.
Select all equations that are equivalent to
(6x + 2)
3
-=2(3x +14)
(Select all that apply.)
(6x + 2)
3
(6x + 2) = 2 (3x+14)
2x+3=2-(3x +14)
=-3x-12
6x + 2 = -9x-36
(6x + 2)
3
= -3x+16
Answers
Using Simplification , all the equations that are equivalent to (6x+2)/3 = 2 - (3x+14) are (6x+2)/3 = -3x - 12 and 6x + 2 = -9x - 36 , the correct option is (a) and (d) .
In the question ,
it is given that
the equation is (6x+2)/3 = 2 - (3x+14)
solving the brackets on the right side of the equation ,
(6x+2)/3 = 2 - 3x - 14
(6x+2)/3 = -3x - 12 ....option(a)
On Cross Multiplying , we get
6x + 2 = 3(-3x - 12)
6x + 2 = -9x - 36 ....option(d)
Therefore , all the equations that are equivalent to (6x+2)/3 = 2 - (3x+14) are (6x+2)/3 = -3x - 12 and 6x + 2 = -9x - 36 .
The given question is incomplete , the complete question is
Using Simplification , Select all equations that are equivalent to
(6x+2)/3 = 2 - (3x+14)
(a) (6x+2)/3 = -3x-12
(b) (6x+2) = 2 - (3x+14)
(c) 2x + 2/3 = 2 - (3x+14)
(d) 6x+2 = -9x-36
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Jada is working on solving a quadratic equation, as shown here.
p^2−5p=0
p(p−5)=0
p−5=0
p=5
She thinks that her solution is correct because substituting 5 for p in the original expression p^2−5p gives 5^2−5(5), which is 25−25 or 0.
Explain the mistake that Jada made.
Answers
Writing only p = 5 is a mistake since p = 0 is also a solution of the quadratic equation
How to find the mistake she made in solving the quadratic equation?
Given the quadratic equation: p² −5p = 0
p² −5p = 0
p(p−5) = 0
p = 0 or p−5=0
p = 0 or p = 5
Jada made mistake in the 3rd step instead of him to break the equation into two parts and then equate them to zero i.e he neglected the part where p = 0 and only make use of p-5 = 0
Since the equation has two solutions, p = 0 and p = -5. Therefore, writing only p = 5 is a mistake because when p = 0 is substituted into p² −5p = 0, it also gives 0
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1/2 : 2/3 = X:1
[1 mark]
Answers
The value of X for the given equation is X = 3/4.
What are the ratio and proportion?A percentage is the equality of two ratios, while a ratio is the divisional comparison of two numbers. As well as being written as x: y or x/y, ratios are sometimes expressed as x is to y.
A proportional equation declares that two ratios are similar on a comparative basis. A ratio means that x is to y as z is to w and is represented as x: y: z: w. Since w and y are not equal in this situation, x/y = z/w.
The given equation is
1/2 : 2/3 = X:1
We can rewrite it as
(1/2)/ (2/3) = X
X = 1/2 × 3/2
X= 3/4
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Write 22 as a percentage of 58
Give your answer correct to the nearest whole number.
Answers
Answer:
38%
Step-by-step explanation:
22 ÷ 58 = 0.3793...
Ans × 100 = 37.93%
As a whole number = 38%
Solve |2x - 3| < 7.
Answers
Answer:
5 or (-2,5)
Step-by-step explanation:
|2x-3|<7
2x-3<7
2x=10
x=5
Answer:
x < 5
Step-by-step explanation:
Add 3 to both sides of the equation. This is to balance the equation.2x - 3 + 3 < 7 + 3
Now, add 7 and 3.7 + 3 = 10
Add -3 and positive 3.-3 + 3 = 0
= 2x + 0
= 2x
Now, the problem becomes,2x < 10
Divide by 22x/2 < 10/2
Divide by 2: 10/210/2 = 5
Divide by 2: 2x2x/2 = 2/2
= x (We assume x = 1)
Divide both numbers= 5/1
= 5
Therefore,
x < 5
Hope this helps!
Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins. How much did
Mrs. Smith pay for 30 muffins?
Explain your answer
a) $3
b) $10
c) $15
d) $30
