Answer:
(2, -3)
Step-by-step explanation:
if move down 2 units, then y needs to move up 2 units
if move right 3 units, then x needs to move left 3 units
(5-3, -5+2)
(2, -3)
Use Newton's method to approximate the given number correct to eight decimal places. 4√73
Answer:34.17601498.
Step-by-step explanation:
Newton's method of approximation is used to approximate values.
The value of [tex]\mathbf{4\sqrt{73}}[/tex] is 34.17601498
Let the number be x.
So, we have:
[tex]\mathbf{x = 4\sqrt{73}}[/tex]
Square both sides
[tex]\mathbf{x^2 = 1168}[/tex]
Subtract 1168 from both sides
[tex]\mathbf{x^2 - 1168 = 0}[/tex]
Express as a function
[tex]\mathbf{f(x) = x^2 - 1168 }[/tex]
Set x1 to 73/2.
So, we have:
[tex]\mathbf{x_1 = \frac{73}{2} = 36.5}[/tex]
Where:
[tex]\mathbf{x_{n+1} = x_n- \frac{x_n^2-1168}{2x_n}}[/tex]
So, we have:
[tex]\mathbf{x_{1+1} = x_1- \frac{x_1^2-1168}{2x_1}}[/tex]
[tex]\mathbf{x_{2} = x_1- \frac{x_1^2-1168}{2x_1}}[/tex]
This gives
[tex]\mathbf{x_{2} = 36.5- \frac{36.5^2-1168}{2 \times 36.5}}[/tex]
[tex]\mathbf{x_{2} = 34.25}[/tex]
[tex]\mathbf{x_{3} = x_2- \frac{x_2^2-1168}{2x_2}}[/tex]
[tex]\mathbf{x_{3} = 34.25- \frac{34.25^2-1168}{2 \times 34.25}}[/tex]
[tex]\mathbf{x_{3} = 34.1760948905}[/tex]
[tex]\mathbf{x_{4} = x_3- \frac{x_3^2-1168}{2x_3}}[/tex]
[tex]\mathbf{x_{4} = 34.1760948905- \frac{34.1760948905^2-1168}{2\times 34.1760948905}}[/tex]
[tex]\mathbf{x_{4} = 34.1760149814}[/tex]
[tex]\mathbf{x_{5} = x_4- \frac{x_4^2-1168}{2x_4}}[/tex]
[tex]\mathbf{x_{5} = 34.1760149814- \frac{34.1760149814^2-1168}{2\times 34.1760149814}}[/tex]
[tex]\mathbf{x_{5} = 34.1760149813}[/tex]
The values of x4 and x5 are the same up till the 8th decimal place.
Hence, the value of [tex]\mathbf{4\sqrt{73}}[/tex] is 34.17601498
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Teresa plans to attend college in 3 years. She will need $13,600 for the first-year cost. Her uncle gave her a special gift of $10,000 to use toward the cost. How much must Teresa save each month to have enough for the first-year cost?
Answer:
100$ per month
Step-by-step explanation:
Sales of video games and consoles fell from $1.15 million to $1.03 million in 1 year. Find the percent decrease.
Answer:100 times 7
Step-by-step explanation: because
find the area of a circle that has a radius of 7/10 cm. use 22/7 for pi
Answer:
77/50 ≈ 1.54
Step-by-step explanation:
A=πr²
A = (22/7)(7/10)²
A = 77/50
A ≈ 1.54
PLEASE MARK IT AS BRAINLIEST
Computer use.
A random sample of 197 12th-grade students from across the United States was surveyed, and it was observed that these students spent an average of 23.5 hours on the computer per week, with a standard deviation of 8.7 hours. If we plan to use these data to construct a 99% confident interval, the margin of error will be approximately.
(a.) 0.07
(b.) 0.62
(c.) 1.6
(d.) 8.7
Answer:
The margin of error will be approximately =
(c.) 1.6
Step-by-step explanation:
Sample of 12th-grade students = 197
Average hours spent on computer per week = 23.5 hours
Total hours spent = 4,625 (197 * 23.5) hours
Standard deviation = 8.7 hours
Confidence interval = 99%
Square root of sample size = [tex]\sqrt{x}[/tex] = 14.04
Standard deviation/square root of sample size = 8.7/14.04 = 0.6196
Z value at 99% confidence = 2.58
Margin of error = 0.6196 * 2.58
= 1.59857
= 1.6
This question can be determined by the concept of standard deviation. The margin of 1.6 error will be approximately.
Given:
Random sample of 12th-grade students = 197
Average hours spent on computer per week = 23.5 hours
Therefore,
Total hours spent by 12th grade students = [tex]\bold{(197 \times23.5=4629.5)hours}[/tex]
Standard deviation = 8.7 hours (Given)
Confidence Interval =99% (Given)
Square root of random sample size = = 14.04
[tex]\bold{\dfrac{Standard\: deviation}{Square\: root\: of\: sample\: size} =\dfrac{8.7}{14.04 } = 0.6196}[/tex]
Therefore,
Z value at 99% confidence = 2.58
Margin of error = [tex]0.6196 \times2.58[/tex]
= 1.59857 error
= 1.6 error
Thus, the correct option is (c) 1.6 error.
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After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest
Answer: 13,668 i think.
if i have 1000 dollars and lose 1000 dollars how much do i have left 100 points
The mathematical answer would happen to be... 0
Answer:
0
Step-by-step explanation:
A holiday decoration involves blue and white lights the ratio of blue lights to white lights is three to two the box the decorations came in stated that the number of blue lights was 114 but didn't give the number of white lights or the total number of lights.
A) What is the ratio of the number of blue lights to the total number of lights?
B) If the total number of lights is represented by the variable t, create a proportion that you can use to solve for t and solve it.
The ratio of the number of blue lights to total lights is 3:5
The total number of lights is 190
How to solve for the ratioTo solve the problem we need to have the ratios out first.
we have a ratio of blue to white lights as
3 : 2
The ratio of the number of blue lights to white lights would be
114 : x
Such that we would have
3:2 = 114:x
This would give us
[tex]\frac{3}{2 } =\frac{114}{x}[/tex]
We would have to solve for the value of x
To do this we are to cross multiply
3*x = 114*2
3x = 228
x = 228 / 3
= 76
ratio = 3 + 2 = 5
3 : 5
The proportion that can be used to solve for t is given as 114 : 3 = 38
38 x 5 = 190
or 114 + 76 = 190
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Graph the line with the equation y = -x - 1.
that is what the line will look like.
This is a straight line. We only need 2 points to graph a straight line.
Let x = 0
y = -(0) - 1
y = -1
Our first point is (0,-1).
Let x = 1
y = -(1) - 1
y = -2
Our second point is (1,-2).
See attachment for graph.
The length of a rectangle is (2x+3) and the width is x-5. If the perimeter is 44cm what is the length of the rectangle?
Perimeter = 2x length + 2x width.
2(2x+3) + 2(x-5) = 44
Simplify:
4x + 6 +2x -10 = 44
Combine like terms:
6x -4 = 44
Add 4 to both sides:
6x = 48
Divide both sides by 6:
X = 8
Now replace x with 8 in the equation for length:
2x + 3 = 2(8) +3 = 16 + 3 = 19 cm
Length = 19 cm
Michelle works in the mall and her hours increase during busy shopping times of the year. Michelle has a plan to
save $45 each week for 7 weeks, and then increase that amount by $30 for the next 8 weeks during the busy time,
then go back to $45 per week. If Michelle's plan is to save $1185, how many weeks total will she need to save?
Show your work
12
II
Answer:
The total number of weeks Michelle needs to save is 29.
Step-by-step explanation:
Michelle plans to save $1185 in a number of weeks to determine later.
In the first 7 weeks, she will save $45 each week for a total of
$45 * 7 = $315
In the next 8 weeks, she will save $30 each week for a total of:
$30 * 8 = $240
During these 15 weeks, she has saved
$315 + $240 = $555
She still has a remaining $1185 - $555 = $630 to save.
Those $630 will be saved in a number of weeks at $45 per week, thus the number of weeks is:
$630 / $45 = 14 weeks
Total weeks = 15 + 14 = 29
The total number of weeks Michelle needs to save is 29.
Simplify (3√-5 +2)(4√-12 -1)
Thank you in advance
Full steps so I can understand!
Answer:
12√60 - 3√-5 + 8√-24 -2
Step-by-step explanation:
Use the distributive property
Multiply each by the other term outside their parantheses
for example multiply 3√-5 by 4√-12 and 3√-5 by -1.
Answer:
√
28
√
4
=
2
7
⋅
2
√
7
14
√
7
14
√
7
Explanation:
28
is the same as
2
×
14
witch in turn is the same as
2
2
×
7
Write as
7
√
2
2
×
7
Taking the
2
2
'outside' the square root changes it from
2
2
to
2
7
√
2
2
×
7
=
7
×
2
×
√
7
14
√
7
Step-by-step explanation:
For the function y = 7 − 3x, what is the ordered pair for x = 5?
9514 1404 393
Answer:
(x, y) = (5, -8)
Step-by-step explanation:
The value of y is found by evaluating the equation for x=5.
y = 7 -3(5) = 7 -15 = -8
For x = 5, y = -8. As an ordered pair, this is (x, y) = (5, -8).
What is the domain of the relation?
✔ -4<=x<=6
What is the range of the relation?
✔ -4<=y<=4
Is the relation a function?
✔ yes
here are all the answers
Answer:
thx for ur help
Solve for X.
8=5
X 9
Answer: x = 14.4
Step-by-step explanation:
Answer:
x = 14.4Step-by-step explanation:
8/x = 5/9 just cross multiply
5x = 8(9)
x = 72/5 divide 5 both sides
x = 14.4
What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)
The required value of θ for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.
What are trigonometric functions?The basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.
The given equation is,
cos(θ)=sin(θ/3-10) (1)
To find the value of θ,
Change the whole equation into one trigonometric function,
Since, cos(θ)=sin(90-θ)
Substitute this value in equation (1)
sin(90-θ)=sin(θ/3-10)
⇒90-θ=θ/3-10
⇒4θ/3=80
⇒θ=60
The value of θ is 60°.
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Find the area of the shape shown below
Answer:
18 MARK AS BRAINLIEST OR ELSE!!!!
Step-by-step explanation:
area = 1/2h(sum of bases)
area = 1/2x3(3+9)
area = 1/2 of 36
area = 18
Find the Surface Area:
Of the picture below
6cm
3 cm
3 cm
2 cm
Answer:
72 cm^2 OR 72 sq cm.
Step-by-step explanation:
6 x 5 = 30
10 x 3 = 30
2 x 6 = 12
30 + 30 + 12 = 72
Sorry, i don't exactly know how to explain it without drawing it. But i assure you it is correct.
There are 60 students in a classroom, 50% of the students are
boys. 30% of the boys and 60% of the girls want to buy the
new textbook. How many students want to buy the new
textbooks?
___ students
Answer:
28
Step-by-step explanation:
If 50% of students are boys that means there are 30 boys and 30 girls. Then if 30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.
Three letters are randomly chosen from PROBABILITY. What is the probability that at least one of the letters is B?
Answer:
2/11
Step-by-step explanation:
thats the probability
Answer:
2/11
Step-by-step explanation:
The ages of the winners of a cycling tournament are approximately bell shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. The winner in one reason year was 26 years old
Answer:
200
Step-by-step explanation:
I NEED HELP ASAPPP!!!
PLEASE HELP MEEE
Use the distributive property to remove the parentheses.
9(6-v)
Answer:
[tex]54-9v[/tex]
Step-by-step explanation:
To remove the parentheses by using the distributive law, we need to multiply [tex]9[/tex] to each term within the parentheses.
[tex]9(6-v) = 9(6) +9(-v)[/tex]
[tex]=54-9v[/tex]
Hope this helps :)
It is known that 10% of the UNIVERSITY students own their own car. If a random sample of 10 students is taken, what is the probability that at most 2 have their own vehicle?
Probability of students having their own vehicle
= 2/10
= 1/5
For every left-handed person, there are about 4-right handed people. If there are 30 students in a class, predict the number of students who are right-handed.
Answer:
There are 24 right handed students
Step-by-step explanation:
This is a ratio question so it would be represented as 1:4.
First you would do 1 + 4 which is 5.
Then do 30 ÷ 5 which is 6.
Finally multiply 6 by 4 and 1.
So 6 × 4 × 1 is 24.
So there are 24 students who are right handed.
Hope this makes sense!
find if the series converges conditionally, converges absolutely, or diverges ∑k=1 ∞ (k^2k 3^k)/k!
Answer:
Diverges
Step-by-step explanation:
Using the ratio test to test the series:
anybody understand this ? please help me .
Answer:its a or b
Step-by-step explanatio
Answer:
The answer is (2)
Step-by-step explanation:
We know that to the distance between two numbers on a number line, we subtract the smaller number from the larger number. For instance, the difference between [tex]5[/tex] and [tex]3[/tex] is simply [tex]5-3[/tex], which is [tex]2[/tex]. With that being said, variables such as [tex]p[/tex] or [tex]q[/tex] differ from a question to another. Sometimes, the [tex]p[/tex] is larger, but sometimes the [tex]q[/tex] is. If we don’t know which one is which, we can subtract them in any order and take the absolute value of that result. If the result of subtraction is positive, great! The absolute value of that is still positive ([tex]5-3=2\\|5-3|=2[/tex]) If it’s not, now it is! (e.g., [tex]|3-5|=2[/tex]! Therefore, the answer is (2) [tex]|p-q|[/tex].
If the ages in a classroom were 11, 12, 12, 13, 13, 14 - what would the median age be if you added someone that was 10 years old?
Answer: 12 years old
Step-by-step explanation:
10,11,12,12,13,13,14
The middle in these numbers is 12
Mr. Abdullah’s new car can travel 420 miles on a 12-gallon tank of gas. Determine how many miles he can travel on 8 gallons
Answer:
280
Step-by-step explanation: