Answer:
b or d
Step-by-step explanation:
The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area to 4 decimal places.
Answer:
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
Step-by-step explanation:
The circumference ([tex]s[/tex]), in centimeters, and the surface area ([tex]A_{s}[/tex]), in square centimeters, of a sphere are represented by following formulas:
[tex]A_{s} = 4\pi\cdot r^{2}[/tex] (1)
[tex]s = 2\pi\cdot r[/tex] (2)
Where [tex]r[/tex] is the radius of the sphere, in centimeters.
By applying (2) in (1), we derive this expression:
[tex]A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}[/tex]
[tex]A_{s} = \frac{s^{2}}{\pi^{2}}[/tex] (3)
By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ([tex]\Delta A_{s}[/tex]), in square centimeters:
[tex]\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s[/tex]
[tex]\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}[/tex] (4)
Where:
[tex]s[/tex] - Measure circumference, in centimeters.
[tex]\Delta s[/tex] - Possible error in circumference, in centimeters.
If we know that [tex]s = 82\,cm[/tex] and [tex]\Delta s = 0.5\,cm[/tex], then the maximum error is:
[tex]\Delta A_{s} \approx 8.3083\,cm^{2}[/tex]
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
A medical doctor uses a diagnostic test to determine whether a patient has arthritis. A treatment will be prescribed only if the doctor thinks the patient has arthritis. The situation is similar to using a null and an alternative hypothesis to decide whether to prescribe the treatment. The hypotheses might be stated as follows.
H0 : The patient does not have arthritis
Ha : The patient has arthritis
Which of the following represents a Type II error for the hypotheses?
A
Diagnosing arthritis in a patient who has arthritis
B
Failing to diagnose arthritis in a patient who has arthritis
C
Diagnosing arthritis in a patient who does not have arthritis
D
Failing to diagnose arthritis in a patient who does not have arthritis
E
Prescribing treatment to a patient regardless of the diagnosis
Answer:
B) Failing to diagnose arthritis in a patient who has arthritis
Step-by-step explanation:
CollegeBoard
Use a ratio box to solve this problem. The road was steep.
Every 100 yards the elevation increased 36 feet. How many
feet did the elevation increase in 1500 yards?
36
Answer:
540 feet
Step-by-step explanation:
[tex]\frac{36}{100} = \frac{x}{1500}[/tex] Cross multipy
100x = 54000
54000/100 = 540
x = 540
Kayla earns $10.75 per hour babysitting. How much will she earn for a job that lasts from 8:30 a.m. to 4:30 p.m.
Answer:
$86
Step-by-step explanation:
8 hours times 10.75
Answer: $86.00
Step-by-step explanation:
8 to 9 , 9 to 10, 10 to 11, 11 to 12, 12 to 1 , 1 to 2, 2 to 3 , 3 to 4 come up to 8 hours.
4:00 to 4: 30 is half hour.
So 8:00 to 4: 30 come up to 8 1/2 hours (eight and half hours ).
8:30 am to 4:30 pm= 8 hours.
then it is $10.75x8=$86.00
Hope this helps :) <33
Mar 15, 8:58:09 AM
Hailey is a high school basketball player. In a particular game, she made some three
point shots and some free throws (worth one point each), Hailey scored a total of 14,
points and made 4 times as many free throws as three point shots. Write a system of
equations that could be used to determine the number of three point shots Hailey
made and the number of free throws she made. Define the variables that you use to
write the system
Answer:
[tex]3a + b = 14[/tex]
[tex]b = 4a[/tex]
Step-by-step explanation:
Key:
a = 3 point throws
b = Free throws
Total points = 14
Required
Determine the system of equations
[tex]Total\ points = 14[/tex] implies that:
[tex]3 * a + b = 14[/tex]
[tex]3a + b = 14[/tex]
4 times as many b as a implies that:
[tex]b = 4 * a[/tex]
[tex]b = 4a[/tex]
So, the system of equations are:
[tex]3a + b = 14[/tex]
[tex]b = 4a[/tex]
just here for the points :l
a dance club spent $922 on 40 items.The item include some hats and pairs of shoes.Each hat cost $19 and each pair of shoes cost $25.How many pairs of shoes did the dance club buy?
1. H+S=40
2. 19H+25S=922
From 1,
19H+19S=760
Subtract this from 2 to eliminate H,
19H+25S-19H-19S=922-760
6S=162
Solve for S, then use either equation to solve for H.
can you solve x: 6x+3=9x+21
Answer:
-6
Step-by-step explanation:
6x-9x=21-3
-3x=18
x=-6
Pls help I’ll brainlest ASAP
Answer:
Jessie sold x DVD's for $6 each and then sold a board game for $15. Jessie made at least $69 in her sales.
She sold 9 DVD's.
Step-by-step explanation:
69 - 15 = 54
54/6 = 9
1/3 How many minutes does April jump rope 1 day? 1 week. Please tell the answer for 1 day and 1 week
Answer:
1/3
i don't know laughing out loud
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for rin terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution
The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
What is a function?"It defines a relation between input and output values.""In function, for each input values there is exactly one output."What is right triangle?"It is a triangle having one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"For a right triangle,
[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."
For given question,
We need to write a function that models the relationships among x, y, and r.
Consider a right triangle ABC.
where AB = x, BC = y and hypotenuse AC = r
Using Pythagoras theorem,
[tex]x^{2} + y^{2} =r^{2}[/tex]
above function defines the relationships among x, y, and r.
Now we solve above equation for 'r',
[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]
Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
Learn more about function here:
https://brainly.com/question/12431044
#SPJ2
Answer:
Look below!
Step-by-step explanation:
1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)
150 feet.
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)
Pythagorean theorem—>a^2+b^2=c^2
a and b are the legs, while c is the hypotenuse.
x^2+y^2=r^2
Take the root of both sides
r=√x^2+y^2
Helen's Caffee has regular coffee and decaffeinated coffee. This morning, the caffee served 45 coffees in all, 60% of which were regular. How many regular coffees did the cafe serve?
CORRECT ANSWER GETS BRAINLY PLEASE!!! For g(x)=x^2-x, find g(x) when x=-5
Must Show Work
g(-5)=?
Three ways to solve systems of equations ?
Choose the correct graph of the function Y = Vx+1
Answer:
The graph for y=[tex]\sqrt{x}[/tex]+1 looks like this. Hope this helped you :D
Step-by-step explanation:
The required graph of y = √x + 1 is a curve that starts from the point (0,1) and rises continuously as x increases.
What is the graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The equation y = √x + 1 represents a simple algebraic function in which the value of y is dependent on the value of x.
When we plot this function on a graph with x on the horizontal axis and y on the vertical axis, we get a curve that starts from the point (0,1) and continues upward as x increases.
At x=0, the value of y is 1. As x increases, the value of y increases as well, but at a slower rate because of the square root function. As x approaches infinity, the value of y also approaches infinity, but again at a slower rate than a linear function.
Since the domain of the function is all non-negative real numbers (x ≥ 0), the graph of the function exists only in the first quadrant of the coordinate plane.
Overall, the graph of y = √x + 1 is a curve that starts from the point (0,1) and rises continuously as x increases.
Learn more about graphs here:
brainly.com/question/16608196
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Solve -3y + 14 + y = 12
Answer:
y = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-3y + 14 + y = 12
Step 2: Solve for y
Combine like terms [Addition]: -2y + 14 = 12[Subtraction Property of Equality] Subtract 14 on both sides: -2y = -2[Division Property of Equality] Divide -2 on both sides: y = 1Answer:
= 1
Step-by-step explanation:
-3y+y+14=12
-2y = 12-14
-2y= -2 divide both sides by -2
y= 1
Need help 2w+43,if w=9
Answer:
61
Step-by-step explanation:
2w + 43 = ?, w = 9
Substitute w: 2(9) + 43 = ?Multiply: 18 + 43 = ?Add: 18 + 43 = 61What day and time will it be 85 hr 33 min after Friday 12:11 am?
Answer:
Enter date and time information at "From:"
Select a month and a day. Enter a year.
The year entered must be a positive number. Not zero (0).
Enter hours and minutes. Select am or pm.
The hours entered must be a positive number between 1 and 12 or zero (0).
The minutes entered must be a positive number between 1 and 59 or zero (0).
Add or Subtract Line
Enter number of days, hours and minutes
Select "add" or "subtract"
If you type "ghblxz", in the year box the computer will print "0"
If you type "1.9e2", the computer will use "190" to calculate the answer.
If you select "February 31", the computer will print "Not a Day"
Click "Click to Calculate" button. The calculated date and time will appear.
NaN = not a number
To clear the entry boxes click "Reset
HURRY PLEASE I WILL GIVE BRAINLIEST
Answer:
About 40% of students own a cat
Step-by-step explanation:
Honestly have no clue how to solve this help :/
Answer:
it will be D i seen this before
Step-by-step explanation:
The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 252 cubic inches, find the dimensions of the box. length in width in height in
Answer:
height be 4 in
length be 9 in
ANd, the width be 7 in
Step-by-step explanation:
Let us assume the height of the box be x
So the length would be 2x + 1
And, the width be x + 3
As we know that
The volume of the rectangular box = length × width × height
252 = (2x + 1) × (x + 3) × (x)
252 = (2x^2 + x) × (x + 3)
252 = 2x^3 + 6x^2 + x^2 + 3x
2x^3 + 7x^2 + 3x = 252
2x^3 + 7x^2 + 3x - 252 = 0
after solving this
x = 4
So height be 4 in
length be 9 in
ANd, the width be 7 in
The measure of an angle is 89º. Find the measure of its supplement
A) 91 degrees
B) 81 degrees
C) 90 degrees
D) 80 degrees
Answer:
The is A) 91
Step-by-step explanation:
Sahak pays 11% sales tax on a trumpet that costs 750 dollars. How much does the sales tax add to the purchase price?
Answer:
$82.50
Step-by-step explanation:
PLZ HELP NO WRONG ANSWERS
Answer :
to find area of the square = 6 to the power 2
to find the area of the rectangle = (5x + 12) * 5x
therefore,
square's area = 36
rectangle's area = 5x*5x + 12 * 5x
= 25x * 60x
Now we have to find the sum of both the areas,
so, 36 + 1500 = 1536
Step-by-step explanation:
look I know my answer is wrong but I just wanted points! thnx for the free points! :)))))))))
NANRI! VANAKKAM!
What is the difference between 50 and -50?
Answer:
100
Hope this helps! Have a nice life! ✌Given a linear equation in the form y = ax, if a > 0 then the greater the coefficient a
a) the greater the slope of the equation
b) the smaller the slope of the equation
WILL MARK BRAINLIEST
c) the longer the line is
d) the shorter the line is
Stan swam 100 meters in 2 minutes. At this rate, how many meters would he swim in 20 minutes?
Answer:
2,000 meters
Step-by-step explanation:
I multiplied 100 by 20.
Hope this helped
each minute, they swim 50 m.
20*50 = 1000
1000 metersA rectangular painting has an area of 9.52 feet. What are three different ways in which this can happen. Give three unique length and width not using one.
Answer:
2 x 2 x 2.38
2 x 2.1 x 2.26
6 x .31 x 5.118
Can a trangle have lengths of 1 , 1 and 6
Answer: No it can't
You can prove this with Pythagorean theorem. (a^2+b^2=c^2) In this case, 6 is the highest number so we know it has to be the hypotenuse. So plug it into the equation, 1^2+1^2=6^2, and simplify. You will get 2=36, and we know that is not true, so a triangle can't have the lengths of 1, 1, and 6.
Hope this helped you!
Please help me ASAP I’ll mark Brainly
Answer:
0.85
Step-by-step explanation:
3.4 / 4 = 0.85
Hope that helps!
ques 1 : x + 1 3/8 = 2 1/4
ques 2 : 13.27 = t - 24.45
ques 3 : 9 = 3/8 × y
please answer them due date today thx
Answer: 1. 29/8
2. 37.72
3. 24
Step-by-step explanation:
1. x + 1 3/8 = 2 1/4
x = 21/4 - 13/8
x = 42/8 - 13/8 [set the denominator equal]
x = 29/8
2. 13.27 = t - 24.45
Rewrite the function as t - 24.45 = 13.27
t = 13.27 + 24.45
t = 37.72
3. 9 = 3/8 × y
Rewrite as 3/8 x y = 9
y = 9/ (3/8)
y = 9 x (8/3)
y = 24