The percent error is 8%
How to calculate the percent error ?The formular for percent error is approximate value -exact value/exact value multiplied by 100
The approximate value is 197 points
The exact value is205 points
Percent error = 197 - 205 /205 × 100
= -8/205 × 100
= 0.0390 × 100
= 3.9
Hence the percent error is 8%
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Which is the graph of f(x)=√4x ?
Answer:
These are the type of graphs that equation would equal too.
Hope this helps! <3
Is (0, 3) a solution to the equation y=x+3? (1 point)
O yes
Ono
Answer: Yes, it is.
Step-by-step explanation:
given: x is 0 and y is 3. Plug in the equation and solve
y=x+3
3=0+3
3=3
Yes, it is a solution
A phone company has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 410410 minutes, the monthly cost will be \$71.50$71.50. If the customer uses 720720 minutes, the monthly cost will be \$118.00$118.00. Use your equation to find the total monthly cost if 687687 minutes are used.
The required cost is $ 101.22.
This problem can be solved by unitary method.
Given that monthly cost of customer if he uses 410 minutes is $71.
So, cost per minute = [tex]\frac{71}{410}[/tex]
=$ 0.17
And if the customer uses 720 minutes then the cost is $118.
So, cost per minute is = [tex]\frac{118}{720}[/tex]
=0.16
Now if he uses 687 minutes then for 410 minutes cost incurred will be
= 410 × 0.17
= $ 69.7
And for next 197 minutes cost incurred will be = 197 × 0.16
= $ 31.52
Total cost for 687 minutes = $(69.7 + 31.52)
= $ 101.22
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HELPP
You want to enclose a rectangular region with an area of
1200 square feet and a length of 40 feet, 50 feet, or 60 feet.
Find the perimeter for each possible region. Explain why
you might rewrite the area formula to find the solutions.
The possible perimeters are 140 feet, 148 feet and 160 feet.
In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.
What are the possible perimeters?A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.
Area of a rectangle = length x width
Width = area / length
1200 / 40 = 30 feet
1200 / 50 = 24 feet
1200 / 60 = 20 feet
Perimeter of a rectangle = 2 x (length + width)
Perimeter when width is 30 feet : 2(40 + 30) = 140 feet
Perimeter when width is 24 feet : 2(24 + 50) = 148 feet
Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet
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replace the stars with digits. how many solutions does each problem have. ***-**=1
Answer: We have two solutions:
1000-998=2
or
1001 - 999 = 2
ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST also pls explain what the heck an explicit formula is..
Answer:y=10n+15
Step-by-step explanation:
Nine hundred ninety two hundred thousandths wrote in decimal form
Answer:
I think the answer is 9.920 please be careful with your answer I think it 9.920 because it says nine hundred and ninety two thousands so therefor the decimal need to be in between 9 and 9 I hope you get this correct!
step-by-step explanation:
2. Find the 200th term of
the sequence:
3. 7. 11, 15, 19....
Answer:
our initial is 3
a1=3
difference or d = 4
The general formula is an = a1+(n-1)*d
an= 3+(200-1)*4
an=3+199*4
an=3+396
an = 399
therefore the 200th item is 399
Step-by-step explanation:
a =3 d=4 n=200
apply the general formula for the nth term
Help!!
Find the after-tax return to a corporation that buys a share of preferred stock at $49, sells it at year-end at $49, and receives a $4 year-end dividend. The firm is in the 21% tax bracket.
This is what I got so far:
Before-tax:
(49-49)+4 = 4,
4/49 = 0.0816,
After-tax:
0.0816 (1-021) = 0.06448 or 6.45%
Based on the calculation below, the after-tax return to the corporation is $3.16 per share or 6.44% if expressed in percentage.
How do we calculate the after-tax return?The after-tax return can be calculated using the following formula:
After-tax return = Total return * ( 100% - tax rate) .............. (1)
Where:
Total return Received = Dividend received + Change in price = $4 + ($49 - $49 ) = $4 + $0 = $4
Tax rate = 21%
Substituting the values into equation (1), we have:
After tax return = $4 * ( 100% - 21%)
After-tax return = $3.16 per share
The after-tax return can also be expressed in percentages as follows:
After-tax return in percentage = After-tax return / Share price = $3.16 / $49 = 0.06444897 = 6.44%
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What is the slope of the line that passes through the points (9, 1) and (10,−1)? Write your answer in simplest form.
Slope of the point is 11/8.
here we use the slope equation so -1-10 would be -11, Then 1-9 is -8 and then -11 divided by -8 is a positive 11/8.
given;
x1=9
x2=1
y1=10
y2=-1
slope=y2-y1/x2-x1
=-1-10/1-9
= 11/8
therefore, the slope of the line that passes through the points ; 11/8.
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run"
there are 4 types of slope,
negative, positive, zero, and undefined. as x increases
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b)..
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mathematics [tex]what is the product of 17 and 41?[/tex]
Answer: 697
Step-by-step explanation:
17 * 41=
17 * (40+1)=
17 * 40 + 17 * 1=
17 * 10 * 4 + 17=
170 * 4 + 17=
680+17=697
Using the scale found on the number line, how would the number 1 be best represented?
A 0/8. B 4/8. C 8/1. D 7/8. E 8/8
PLEASE I NEED HELP
Based on the given scale, the number, 1, on the number line would best be represented by the number A. 8/8.
What is the scale?Based on the first number given which is 1/8, we know that the scale is such that the denominator would be 8.
The best way to write 1 would therefore be to express it in terms of a ratio with 8 being the denominator.
That would mean that 1 would be 8/8 which results in 1.
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Find the measures of complementary angles with measures 9x+6 and 3x degress
Step-by-step explanation:
As we know that the value of Complementary angle is always 90°
9x° + 6° + 3x° = 90°
12x° + 6° = 90°
12x° = 90° - 6
12x° = 84°
[tex]x° = \frac{84°}{12°} \\ [/tex]
x° = 7°
☘️☘️☘️ ...
Solve the following system of equations using either Gaussian elimination or a
matrix. Write your answer as a point and explain how you would check your work:
2x-y + 4z = 33
x + 2y-3z = -26
-5x - 3y + 5z = 23
Using Gaussian elimination, the solution to the given system of equations is given as follows:
x = 5, y = -11, z = 3.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
For this problem, the variables are x, y and z, and the system is given as follows:
2x - y + 4z = 33.x + 2y - 3z = -26.-5x - 3y + 5z = 23.There are multiple ways in which a system can be solved, and for this one, Gaussian elimination will be used.
The first step is writing the augmented matrix of the system, as follows:
[tex]\left[\begin{array}{cccc}2&-1&4&33\\1&2&-3&-26\\-5&-3&5&23\end{array}\right][/tex]
Then, the first column, which is equivalent to be coefficient of y, has to be of zero on the second and on the third row, hence:
R2 -> 2R2 - R1.R3 -> 5R1 + 2R3.The updated matrix will be given by:
[tex]\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&-11&30&211\end{array}\right][/tex]
Then, the second column, equivalent to the coefficient of y, on the third row has to be zero, hence:
R3 -> 11R2 + 5R3.
Then the matrix is:
[tex]\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&0&40&120\end{array}\right][/tex]
From each row of the system, from bottom up, we find the variables, as follows:
40z = 120
z = 120/40
z = 3.
5y - 10z = -85
5y - 30 = -85
5y = -55
y = -11.
2x - y + 4z = 33
2x + 11 + 12 = 33
2x = 10
x = 5.
Hence the solution for the system is:
x = 5, y = -11, z = 3.
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PLEASE ANSWERING THIS QUESTION!!!
Solve the quadratic equation by completing the square: [tex]\sf{z^2+8z-44=20}[/tex]
Give the equation after completing the square, but before taking the square root. Your answer should look like: [tex]\sf{(z-a)^2=b}[/tex]
The equation is: (blank)
List all solutions to the equation in simplest radical form, separated by commas. The solutions are:
z= (blank)
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
The equation after completing the square is (z + 4)² = 80
The solutions to the given equation in the simplest radical form are z = -4 + 4√5 and z = -4 - 4√5
Completing the squareFrom the question, we are to solve the given quadratic equation by completing the square
The given equation is
z² +8z - 44 =20
First, add 44 to both sides of the equation
z² +8z - 44 + 44 = 20 + 44
z² +8z = 64
Now, divide the coefficient of z by 2, square the value and add to both sides
The coefficient of z is 8
Dividing
8/2 = 4
Squaring
4²
Now, add this to both sides
That is,
z² +8z +4² = 64 + 4²
(z + 4)² = 64 + 16
(z + 4)² = 80
The equation after completing the square is
(z + 4)² = 80
Continuation
(z + 4)² = 80
Take the square root of both sides
√(z + 4)² = ±√80
z + 4 = ±√80
z = -4 ± √80
z = -4 ± 4√5
z = -4 + 4√5 and z = -4 - 4√5
Hence,
The equation after completing the square is (z + 4)² = 80
The solutions to the given equation in the simplest radical form are z = -4 + 4√5 and z = -4 - 4√5
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Given that p=3i+j+2kand q=i-2j-4k are the position vectors
of points P and Q respectively, use the information to answer
Questions 2 and 3.
2.
Find an equation for the plane passing through Qand
perpendicular to liné PQ.
The equation for the plane passing through Q and perpendicular to line PQ is r (2 i + 3 j + 6 k) + 28 = 0.
Let position vector of point P be:
p = 3 i + j + 2 k
Let position vector of point Q be:
q = i - 2 j - 4 k
So, PQ = Q - P
PQ = n = i - 2 j - 4 k - (3 i + j + 2 k)
n = i - 2 j - 4 k - 3 i - j - 2 k
n = - 2 i - 3 j - 6 k
The Equation of plane passing through point Q and perpendicular to PQ will be:
(r - q).n = 0
r n = q n
q n = (i - 2 j - 4 k) . (- 2 i - 3 j - 6 k)
q n = - 2 + 6 + 24
q n = 28
r n = 28
r (- 2 i - 3 j - 6 k) = 28
r (2 i + 3 j + 6 k) + 28 = 0
Therefore the equation for the plane passing through Q and perpendicular to line PQ is r (2 i + 3 j + 6 k) + 28 = 0.
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1. Factor by grouping
a² + ab - 56b²
Answer: (a-7b)(a+8b)
Step-by-step explanation:
a² + ab - 56b²=
a² + 8ab -7ab - 56b²=
a(a+8b) -7b(a+8b)=(a-7b)(a+8b)
what is the formula to find time from distance
The formula to find time from distance is time = distance/speed
How to determine the formula of time?As a general rule, the formula of speed is
Speed = Distance/Time
Multiply both sides by Time
Time * Speed = Distance
Divide both sides by Speed
he formula to find time from distance
Hence, the formula to find time from distance is time = distance/speed
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If EF = 5x, FG = 10, and EG = 10x, what is EF?
geometry
If points E,F,G are collinear, then,
EF+FG = EG
5x+10 = 10x
10 = 10x-5x
10 = 5x
5x = 10
x = 10/5
x = 2
So,
EF = 5x = 5*2 = 10EG = 10x = 10*2 = 20As a check, EF+FG = 10+10 = 20 = EG to help confirm the answer
Final Answer: EF = 10Answer:
EF = 10
Step-by-step explanation:
EF = 5x
FG = 10
EG = 10x
I need help on question 1-6
Will be mark brainlist
Answer:Look
Step-by-step explanation: Look and solve its not that hard
At a large university it is known that 30% of the students live on campus. The director of student life is going to take a random sample of 500 students. Which of the following is most likely to occur?
Using point estimation, the sample proportion falls between 0.2 and 0.4.
What is point estimation?The sample distribution offers details on the point estimator to choose. If the distribution's mean matches the actual value of the population parameter, the estimator is considered to be impartial. As a result, the population percentage p and the sample proportion p ought to be quite similar.
The correct option is C, because the average of 0.2 and 0.4 is 0.3
Complete Question is -At a large university it is known that 30% of the students live on campus. The director of student life is going to take a random sample of 500 students. Which of the following is most likely to occur?
a.) The sample proportion falls between 0.3 and 0.5.
b.) The sample proportion falls between 0.1 and 0.3.
c.) The sample proportion falls between 0.2 and 0.4.
d.) The sample proportion falls between 0.25 and 0.35.
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???????????????????????
3y+z=am-4y look for y
The value of y is am-z/7
How to calculate the value of y ?The expression is given as follows
3y +z= am-4y
The first step is to collect the like terms in both sides, this way the numbers that both have y as their coefficient will be on the same side
3y + 4y= am-z
y(3+4)= am -z
7y= am-z
Divide both sides by the coefficient of y which is 7
7y/7= am-z/7
y= am-z/7
Hence the value of y in the expression is am-z/7
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Yessenia simplified an expression as shown below:
Answer:
Step 1
Step-by-step explanation:
Yessenia should have distributed 3 to (x+4) as her first step.
her steps should have been as follows:
x+6+3(x+4)
x+6+3x+12
re write: x+3x+6+12
4x+18
Under his cell phone plan, Gavin pays a flat cost of $62.50 per month and $5 per gigabyte. He wants to keep his bill at $86.50 per month. How many gigabytes of data can he use while staying within his budget?
Answer: 4.8 this is on a school site so i know this because i used the other persons answer and it marked me wrong.
Set B = {a,b,c,d} and Set C = { b,d,f,g}. Find B u C.
Answer:
do ur best
Step-by-step explanation: somebody else might can help u
Geometry study guide help? I will give brainliest.
Over the last baseball season, Billy averaged 28 hits per 100 turns to bat, while Carl averaged one hit for every 2.5 turns. At these rates, which player would have more hits in 500 turns to bat, and how many more?
Using proportions, it is found that Carl would have 60 more hits in 500 turns.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Billy's proportion is of 28/100, hence his amount of hits in 500 turns is:
500 x 28/100 = 140 hits.
Carl's proportion is of 1/2.5, hence his amount of hits in 500 turns is:
500 x 1/2.5 = 200 hits.
The difference is:
200 - 140 = 60 hits.
Carl would have 60 more hits in 500 turns.
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What is the volume of a right rectangular prism that is packed with 300 1/5-foot cubes?
The volume of the right rectangular prism = 2.4 ft³
How to Find the Volume of a Cube?A cube is a three dimensional shape that has equal edges and sides. The volume of a cube is calculated as:
Volume = a³, where a is the side length of the cube.
Given:
Side length of one cube (a) = 1/5 ft
Volume of one cube = (1/5)³ = 1/125 ft³
The right rectangular prism has 300 of these cube. Therefore:
Volume of the right rectangular prism = 300 × 1/125
Volume of the right rectangular prism = 300/125
Volume of the right rectangular prism = 2.4 ft³
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x^x = 2^2048
solve for x
x=256
[tex] {256}^{256} = ( { {2}^{8} })^{256} = {2}^{8 \times 256} = {2}^{2048} [/tex]