The three equations that will emerge from the given matrix will be:
2y + 3z = 48x - 1y - 2z = 52x + z = 9What are equations?An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. Like 3x + 5 = 15, for example. There are many different types of equations, including linear, quadratic, cubic, and others. In a mathematical equation, the equals sign is used to express that two expressions are equal.So, the equations for the given matrix will be:
[0. 2. 3. / 4]
[8 -1 -2 / 5 |
[2. 0. 1 / 9 ]
Now, the equation will be:
2y + 3z = 48x - 1y - 2z = 52x + z = 9Therefore, the three equations that will emerge from the given matrix will be:
2y + 3z = 48x - 1y - 2z = 52x + z = 9Know more about equations here:
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on a test consisting of 250 questions, jassi answered 40% of the first 125 questions correctly. what percent of the other 125 questions does she need to answer correctly for her grade on the entire exam to be 60%
test of 250 questions
40% of the fist 125 are ok, this means that 125(0.4) = 50 questions of the first 125 are ok
If jassi needs 60% of the 250 ok, that is 250(0.6) = 150
If of the first half she already has 50 questions ok, and needs 150, she needs to have 100 questions our of the second 125
If she needs 100 out of 125, this percent is 100/125 = 0.8, this means 80%
Answer:
Jassi needs 80% of the second 125 questions to be ok
If (-6,-38) and (5,28) are twoanchor points on the trend line,then find the equation of the line..y = 6x + [?]
Step 1
Write the slope, y-intercept form of the equation of a line.
[tex]undefined[/tex]What is the absolute value of -6? Use the number line to help answer the question.
-6
07
6543210
st
4+
3+
2+
7777777
Answer:
your answer is in the screenshot
Step-by-step explanation:
0.9(x+1.4)−2.3+0.1x=1.6
please help, I'm really not sure how to do this.
Answer:
x = 2.64
Step-by-step explanation:
Do the distributive property first.
0.9(x + 1.4)
0.9(x) + 0.9(1.4)
0.9x + 1.26 - 2.3 + 0.1x = 1.6
Simplify the left side by adding like terms. I'm going rewrite the equation and group the like terms together.
0.9x + 0.1x + 1.26 - 2.3 = 1.6
1x - 1.04 = 1.6
1x is the same as x, so I am going to remove the 1. Solve for x.
x - 1.04 + 1.04 = 1.6 +1.04
x = 2.64
What is the smallest and greatest number that rounds to 380 when
rounding to the nearest ten?
The smallest and greatest number that rounds to 380 when rounding to the nearest ten are 375 and 384 respectively.
What is rounding a number?Adjusting a number's digits so that it produces an approximation of a result is known as rounding.
The given number is 380.
When rounding a number to the nearest ten, pay attention to the last digit; if it is less than five, round down; if it is five or more, round up.
Therefore, the smallest number that rounds to 380 when rounding to the nearest ten is 375.
Similarly, the greatest number that rounds to 380 when rounding to the nearest ten is 384.
Hence, the smallest and greatest number that rounds to 380 when rounding to the nearest ten are 375 and 384 respectively.
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Past due I don't really understand, what's the answer??
Answer:
$50.16
Step-by-step explanation:
id.k if it's actually right but i believe the tip would be $8.36 if it's 20% so adding it together is $50.16
Please help me find the quadratic inequality for this
y ≥ x2 - 4x + 1
Answer:
x/> -y/2 + 1/2
A red ballon is 40 feet above the ground and rising at 2 ft/s. At the same time, a blue balloon is at 60 feet above the ground and descending at 3 ft/s. What will the height of the balloons be when they are the same height above the ground
Answer: 48 ft
Step-by-step explanation:
The height gap between the balloons is 60 -40 = 20 feet. That gap is being closed at the rate of 2 + 3 = 5 ft/s, so will be gone in ...
(20 ft)/(5 ft/s) = 4 s
At that time, the red balloon will have risen (2 ft/s)(4 s) = 8 ft to a height of ...
40 ft +8 ft = 48 ft
The blue balloon will have descended (3 ft/s)(4 s) = 12 ft to a height of ...
60 ft -12 ft = 48 ft
The balloons at at 48 ft when they are both the same height.
_____
Time and speed and distance are related by the formula you see on every speed limit sign:
speed = distance/time . . . . . . . (on the sign, it's "miles per hour")
or
time = distance/speed
or
distance = speed × time
_____
If you want equations, you can write them as ...
h = 40 +2t
h = 60 -3t
where h is the altitude the balloons have when they are at the same height, and t is the number of seconds it takes to get there.
We're only interested in h, so we can cancel t by multiplying the first equation by 3 and adding that to the second equation multiplied by 2:
3(h) + 2(h) = 3(40 +2t) +2(60 -3t)
5h = 120 +6t +120 -6t
h = 240/5 = 48 . . . . the height in feet at which the balloons are the same height
The relationship between time and the number of laps is not proportional across all swimmers. which two swimmers swam at the same rate (had time and laps in the same proportion)?
Answer: Undefined
Step-by-step explanation:
There is not enough information to complete the task.
Answer:
Jonathan and Seth
Step-by-step explanation:
multiple the laps by 2 youll get the minutes
In solving any inequality if the variable is eliminated and a false statement such as
ANSWER:
No solution
STEP-BY-STEP EXPLANATION:
We have the following inequality:
[tex]x+7If we solve we have the following:[tex]7<-2[/tex]The value of 7 is not less than -2, so this is false.
Which means that the set has no solution
5x+3=53
I don’t know pls help
Answer:
x10
Step-by-step explanation:
How to solve your problem
5x+3=53
Subtract 3 from both sides
5x+3=53
5x+3-3=53-3
Simplify
Subtract the numbers
5x+3-3=53-3
5x=53-3
Subtract the numbers again
5x=53-3
5x50
Divide both sides by the same factor
5x=50
5x=50\
[tex]\frac{50x}{5}[/tex][tex]\frac{50}{5}[/tex]
Simplify
Cancel terms that are in both the numerator and denominator
[tex]\frac{5x}{5}[/tex]=[tex]\frac{50}{5}[/tex]
x=[tex]\frac{50}{5}[/tex]
Divide the numbers
x=[tex]\frac{50}{5}[/tex]
x=10
answer is 10
my tutors keep getting cut off due to connection and i need help!!
Let:
(x1,y1) = (0,4)
(x2,y2) = (4,0)
The slope m is:
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1}=\frac{0-4}{4-0}=\frac{-4}{4}=-1 \\ \end{gathered}[/tex]Using the point slope equation:
[tex]\begin{gathered} y-y1=m(x-x1) \\ y-4=-1(x-0) \\ y=-x+4 \\ \text{ In standard form:} \\ x+y=4 \end{gathered}[/tex]y+1=3/2(x-1) in slope intercept form
Answer:
y=[tex]\frac{3}{2}[/tex]x - [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
To get slope intercept form (y=mx+b), simplify and solve for y.
y+1=[tex]\frac{3}{2}[/tex](x-1)
Simplify
y+1=[tex]\frac{3}{2}[/tex]x - [tex]\frac{3}{2}[/tex]
Solve for y
y=[tex]\frac{3}{2}[/tex]x - [tex]\frac{5}{2}[/tex]
What is a correct congruence statement for the triangles shown?
Enter your answer in the box.
Answer:
ASA
Step-by-step explanation:
there are two congruent angles with an included side in between
Answer: Triangle RHS and NKW are congruent through the Congruence Theorem Angle-Side-Angle.
Step-by-step explanation:
The side HS is congruent to the side KW.
The angle H is congruent to angle K.
The angle S is congruent to angle S.
PLEASE HELP
Which transformation represents a reflection over the x-axis?
Answer: E
Step-by-step explanation:
Option A is a reflection over the y-axis.
Option B is a rotation of 180 degrees about the origin followed by a dilation.
Option C is a reflection over the line y=x.
Option D is a reflection over the y-axis.
Option E is a reflection over the x-axis.
- What is -7- (-4)? Explain how you know.
Answer:
-3
Step-by-step explanation:
We know that,
( + ) × ( + ) = ( + )
( - ) × ( - ) = ( + )
( + ) × ( - ) = ( - )
Accordingly, let us solve the given fraction.
-7 - ( - 4 )
-7 + 4
-3
6/15=3/x.
I'm going insane
Answer:
x = 7.5
Step-by-step explanation:
[tex] \frac{6}{15} = \frac{3}{x} [/tex]
cross multiply expressions
6x = 45 divide both sides by 6
x = 7.5
The mean height of married american women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. the mean height of married men the same age is 68.5 inches, with standard deviation 2.7 inches. the correlation between the heights of husbands and wives is about r = 0.5. find the height of the husband without using least mean
Y'=33.67+0.54*X' .
For married couples in their early 20s, the regression equation and the prediction of a husband's height. In statistics, a regression equation is used to determine whether or not there is a link between two sets of data.
What is the purpose of a regression equation?In statistics, a regression equation is used to determine whether or not there is a link between two sets of data. For instance, you might discover that a child grows roughly 3 inches a year if you measure their height each year. A regression equation can be used to model the three-inch growth tendency.
Detailed explanation:
r=0.5 \s x'=64.5 \s Sx=2.5 \s y'=68.5 \s Sy=2.7The slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x', according to the general regression line equation: Y'=a+b*X'The mean of the lowered by the slope and mean of x is the intercept with axis y.The following is the equation regression line:Y'=33.67+0.54*X'.To learn more about Regression equation refer to:
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A computer retail store has 10 personal computers in stock. A buyer wants to purchase 4of them. Unkown to either the retail store or the buyer, 4 of the computers in stock have defective hard drives. Assume that the computers are selected at random.A. In how many different ways can the 4 computers be chosen?Answer: 210B. What is the probability that exactly one of the computers will be defective?Answer:
A.
The number of different ways the computers can be chosen is given by a combination of 10 choose 4.
A combination of n choose p is given by the formula below:
[tex]C(n,p)=\frac{n!}{p!(n-p)!}[/tex]So we have:
[tex]C(10,4)=\frac{10!}{4!(10-4)!}=\frac{10\cdot9\cdot8\cdot7\cdot6!}{4\cdot3\cdot2\cdot6!}=210[/tex]B.
If the first computer chosen is the one defective, the probability of the first PC being defective is 4/10, the probability of the second one not being defective will be 6/9, for the third not being defective is 5/8 and for the fourth not being defective is 4/7.
Since the defective PC can be any of the 4 bought, we need to multiply the probability above by 4. So the final probability is:
[tex]P=4\cdot\frac{4}{10}\cdot\frac{6}{9}\cdot\frac{5}{8}\cdot\frac{4}{7}=0.3809[/tex]An electric current that alternates sinusoidally with a frequency of 60
cycles per second and is at maximum at t = 0.1 seconds can be described by
the equation
I(t) = 10cos(120πt - 12π) + 5,
where I is current in Amperes and t is time in seconds. What is the
approximate range of the current?
The current is defined as rate of flow of charge I = dq/dt.
The approximate range of the current is 299.5.
How to estimate the approximate range of the current?The current is defined as rate of flow of charge I = dq/dt
Let the equation be [tex]$q=\int i d t$[/tex]
Given: I(t) = 10 cos(120πt - 12π) + 5
We will substitute it in the above equation
q = [tex]$$\int[/tex] 10 cos(120πt - 12π) + 5 dt
now here limits of time is from t = 0.1 to t = 60 s
so here it will be given as
[tex]$\int 10 cos(120\pi t - 12\pi ) + 5 dt[/tex]
Rewrite using trig identities
[tex]$=\int_{0.1}^{60} 10 \cos (120 \pi t)+5 d t$$[/tex]
Apply the Sum Rule:
[tex]$\int f(x) \pm g(x) d x=\int f(x) d x \pm \int g(x) d x$[/tex]
substitute the values in the above equation, we get
[tex]$=\int_{0.1}^{60} 10 \cos (120 \pi t) d t+\int_{0.1}^{60} 5 d t$[/tex]
simplifying the equation,
[tex]$\int_{0.1}^{60} 10 \cos (120 \pi t) d t=0[/tex]
[tex]$\int_{0.1}^{60} 5 d t=299.5$[/tex]
= 0 + 299.5
= 299.5
Therefore, the approximate range of the current is 299.5.
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Express 35 as a fraction of 95. Give your answer in its simplest form.
Answer:
=35/95
=(5 x7)/95
=5 x 7/5 x 19
=7/19
10 Which relation is a function?
y =
X
-1
0
1
1
2
3
(1)
y
1
0
1
2
4
9
(x,-1
(x², 2
(2)
y
(3)
{(0,1), (2,3), (3,2), (3,4)}
(4)
(03.03)
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4). please help
The point R represents the number -2.5 on the number line
How to determine the location of the point R?From the question, we understand that the point R is halfway between the integers on the number line
This means that
Point R = 1/2 * (a + b)
Where variables a and b represent the boundaries of the integers
In this case, we have
a =-2
b = -3
Substitute a =-2 and b = -3 in the equation Point R = 1/2 * (a + b)
So, we have
Point R = 1/2 * (-2 - 3)
Evaluate the difference
Point R = 1/2 * -5
Evaluate the product
Point R = -2.5
Hence, the location of R on the number line is -2.5
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Given mn, find the value of x.
(2x-5)°
(3x-22)°
If m || n and line t cuts them, the value of x is 17 degree
Given that, the line m || line n. and we need to find the value of x
If two lines are parallel and a transversal cuts them then the corresponding alternate interior angles are equal.
Here, line m and line are parallel anf the transversal t cuts them, so the alternate interior angles will be same
2x - 5 = 3x - 22
2x - 3x = - 22 + 5
- x = - 17
x = 17
Therefore, if m || n and line t cuts them, the value of x is 17 degree
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Will and Sarah are racing across the playground. Instead of running, they are hopping. During the race, they must both hop at the same time. In one hop, Will can travel 5 feet, and Sarah can travel 4 feet.
The playground is 200 feet wide. Will wins the race after hopping 40 times. How far had Sarah hopped when Will finished the race?
I know the answer i just need explanation.
Sarah has hopped for 160ft when Will finished the race.
What is basic arithmetic?
Specific numbers and their computations employing a variety of fundamental arithmetic operations are at the center of arithmetic mathematics. Algebra, on the other hand, deals with the limitations and guidelines that apply to all other types of numbers, including whole numbers, integers, fractions, functions, and so on. Arithmetic math serves as the foundation for algebra, which always adheres to its definition. A large range of subjects fall within the broad definition of mathematics, which encompasses a very broad range of topics. Beginning with the fundamentals like addition, subtraction, and division of numbers, they then move on to more complicated topics like exponents, variations, sequence, progression, and more. This part does touch on some of the mathematical formulas and mathematical sequence. Four essential mathematical operations—addition, subtraction, multiplication, and division—are covered in basic arithmetic.
For Will
5 × 40
= 200 feet
For Sarah
4 × 40
= 160 ft
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
The answer is 43
Step-by-step explanation:
Remember that the sum of the angles of all triangles is 180 degrees.
80+57+x=180
137+x=180
x=43
The line passing through the points (-2: 1) and (1: 4) has the same angular coefficient as the line passing through the points (1-2) and (3: p) Find the value of p
Answer:
Explanation:
The angular coefficient is also referred to as the slope of the line.
Given that the slope of the lining joining these pair of points are the same:
• (-2, 1) and (1, 4)
,• (1, -2) and (3, p)
Then:
[tex]\frac{4-1}{1-(-2)}=\frac{p-(-2)}{3-1}[/tex]We solve the equation for p:
[tex]undefined[/tex]what is the median of this data set?[13,13,13,15,15,16,16,17,17]
Given the following data set:
[13,13,13,15,15,16,16,17,17]
Let's determine the median.
Step 1: Arrange the data points from smallest to largest.
The set is already arranged in ascending order.
[13,13,13,15,15,16,16,17,17]
Step 2:
a.) If the number of data points is odd, the median is the middle data point in the list.
b.) If the number of data points is even, the median is the average of the two middle data points in the list.
There are 9 data in the set, it is odd. The middle data is the 5th data.
[13,13,13,15,15,16,16,17,17]
The 5th data is 15.
Therefore, the median of the given set of data is 15.
Which is the equation of a line that is perpendicular to the line represented by ?
Answer:
It will be
.. y = -4/3x +c . . . . . for some value of c
_____
The slope of the perpendicular line will be the negative reciprocal of the slope of the given line, which is 3/4.
Lee and Sandy work at the same factory. Lee earns $17 per hour, and Sandy earns $20 per hour. Factory manager announces that all the workers' wages will go up by $1.50 per hour, starting next month.What will be the percent increase in Lee's hourly wage, rounded to one decimal place?
