A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon
Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.
Let y represent the weight of object on earth and x represent the weight of object on the moon.
y ∝ x
y = kx
When y = 66, x = 10.92, hence:
66 = 10.92k
k = 6
When y = 185 lb:
185 = 6x
x = 30.8 lb
A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon
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Answer:
30.8lb
Step-by-step explanation:
Which fraction has a repeating decimal as its decimal expansion?
Write the equation of the line , in slope - intercept form , with following information : rate of change: -1 point : (3, - 3)
Answer:
y = -x
Step-by-step explanation:
Slope-intercept form looks like this: y = mx + b, with m being the slope or rate of change and b being the y-intercept. We already know the rate of change, so we can put -1 as m: y = -1x + b. To find our y-intercept, we can plug the point (3, -3) into the equation and solve for b:
-3 = -1(3) + b
-3 = -3 + b
b = 0
So we have y = -1x + 0. This can be simplified to y = -x.
At the movies, children's tickets are $6 each and adults' tickets are $10 each. Shandra buys 14 tickets. Let ᴀ be the number of adults going to the movies. Enter an algebraic expression in the box to represent the total price Shandra pays. Do not include the dollar sign in your answer.
Answer:
y=6x+10a
Step-by-step explanation:
let the number of children be x
and the number of adults be a
let the total price be y
given that children tickets are $6 each
also, an adult ticket is $10
x+a=14-------1
y=6x+10a----2
Therefore the expression for the total price can be expressed as
y=6x+10a
ANSWER QUICKLY!!!!!
Given the polynomial function
f(x)=x3−4x2+x+6
1) Name all of the possible rational roots for the function using the Rational Root Theorem.
2) Prove 2 is one of the zeroes of this function (show or describe your process).
3) Name all of the actual roots of this function and describe how you found them.
4) Write the original polynomial function f(x)=x3−4x2+x+6 in factored form.
Answer:
1. The possible roots are ±1, ±2, ±3, ±6. These are the factors of the trailing constant (6) divided by the factors of the leading coefficient (1). When the leading coefficient is 1, the possible roots are the factors of the constant
2. The polynomial is easier to evaluate when it is written in Horner form:
f(x) = ((x -4)x +1)x +6
To show that 2 is a zero, we want to find f(2):
f(2) = ((2 -4)2 +1)2 +6 = (-4 +1)2 +6 = -6 +6 = 0
f(2) = 0, so 2 is one of the zeros of this function
3. Using synthetic division (attached) or polynomial long division, we can divide the given polynomial by (x-2) to find the remaining factors. This division gives (x^2 -2x -3), which can be factored as (x -3)(x +1), so the three actual roots are ...
x = 2 (from above), x = 3, x = -1 (from our factorization)
4. In factored form, the polynomial can be written ...
f(x) = (x +1)(x -2)(x -3)
The first factor was found from the fact that 2 was given as a zero of the function. For any zero "a", a factor of the polynomial is (x-a).
The remaining factors were found by factoring the quadratic trinomial that resulted from the division of f(x) by x-2. That trinomial is x^2 -2x -3.
There are a number of methods that can be used to factor x^2 -2x -3. Again, the rational root theorem can help. It suggests that ±1 and ±3 are possible roots.
write 5,004,300 in standard form
Answer:
5.403×10⁶
Step-by-step explanation:
5.403×10⁶= 5004300
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9514 1404 393
Answer:
-19/7
Step-by-step explanation:
If the variation is direct, any multiplier of the m-value will also multiply the f-value.
old value × 1/7 = new value
m: 14 × 1/7 = 2
f: -19 × 1/7 = -19/7
The new value of f is -19/7.
Seventeen million four thousand
Answer:
17,004,000
Step-by-step explanation:
Seventeen million four thousand
17,004,000
Answer:
17,004,000
in number form
Step-by-step explanation:
i'd appreciate it if youd give me brainly
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when f(x) is greater than 0
Answer:
Step-by-step explanation:
Find the distance between A(-4,4) and B(-2,2). Round your answer to the nearest tenth.
Answer:
6.3
Step-by-step explanation:
Which angles are alternate interior angles?
Answer:
<SRU and <TUW
Step-by-step explanation:
They are on opposite ends which makes them alternate interior angles
What is the maximum, minimum, Midline, amplitude and period of the graph
Answer:
maximum -1 minimum -7 amplitude 6 midline -4
Step-by-step explanation:
Can you help me with this? I’m stuck
Answer:
The answer is x^2 + 3^2
Step-by-step explanation:
Answer:
answer ::::: x^2 + 6x + 9
25² x 4² square root
Answer:
25.317977802344
Step-by-step explanation:
25x25= 625
4x4= 16
625+16= 641
The square root of 641 is 25.317977802344
n this case we are going to use the 'Babylonian Method' to get the square root of any positive number.
We must set an error for the final result. Say, smaller than 0.01. In other words, we will try to find the square root value with at least 1 correct decimal place.
Step 1:
Divide the number (641) by 2 to get the first guess for the square root.
First guess = 641/2 = 320.5.
Step 2:
Divide 641 by the previous result. d = 641/320.5 = 2.
Average this value (d) with that of step 1: (2 + 320.5)/2 = 161.25 (new guess).
Error = new guess - previous value = 320.5 - 161.25 = 159.25.
159.25 > 0.01. As error > accuracy, we repeat this step again.
Step 3:
Divide 641 by the previous result. d = 641/161.25 = 3.9751937984.
Average this value (d) with that of step 2: (3.9751937984 + 161.25)/2 = 82.6125968992 (new guess).
Error = new guess - previous value = 161.25 - 82.6125968992 = 78.6374031008.
78.6374031008 > 0.01. As error > accuracy, we repeat this step again.
Step 4:
Divide 641 by the previous result. d = 641/82.6125968992 = 7.7591072555.
Average this value (d) with that of step 3: (7.7591072555 + 82.6125968992)/2 = 45.1858520774 (new guess).
Error = new guess - previous value = 82.6125968992 - 45.1858520774 = 37.4267448218.
37.4267448218 > 0.01. As error > accuracy, we repeat this step again.
Step 5:
Divide 641 by the previous result. d = 641/45.1858520774 = 14.1858562034.
Average this value (d) with that of step 4: (14.1858562034 + 45.1858520774)/2 = 29.6858541404 (new guess).
Error = new guess - previous value = 45.1858520774 - 29.6858541404 = 15.499997937.
15.499997937 > 0.01. As error > accuracy, we repeat this step again.
Step 6:
Divide 641 by the previous result. d = 641/29.6858541404 = 21.5927760397.
Average this value (d) with that of step 5: (21.5927760397 + 29.6858541404)/2 = 25.63931509 (new guess).
Error = new guess - previous value = 29.6858541404 - 25.63931509 = 4.0465390504.
4.0465390504 > 0.01. As error > accuracy, we repeat this step again.
Step 7:
Divide 641 by the previous result. d = 641/25.63931509 = 25.0006678318.
Average this value (d) with that of step 6: (25.0006678318 + 25.63931509)/2 = 25.3199914609 (new guess).
Error = new guess - previous value = 25.63931509 - 25.3199914609 = 0.3193236291.
0.3193236291 > 0.01. As error > accuracy, we repeat this step again.
Step 8:
Divide 641 by the previous result. d = 641/25.3199914609 = 25.3159643039.
Average this value (d) with that of step 7: (25.3159643039 + 25.3199914609)/2 = 25.3179778824 (new guess).
Error = new guess - previous value = 25.3199914609 - 25.3179778824 = 0.0020135785.
0.0020135785 <= 0.01. As error <= accuracy, we stop the iterations and use 25.3179778824 as the square root.
So, we can say that the square root of 641 is 25.31 with an error smaller than 0.01 (in fact the error is 0.0020135785). this means that the first 2 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math. sqrt(641)' is 25.317977802344327.
Please Help
Geometry
can somebody help me with my social studies cause if you do i will give you brainlist
Answer:
sure if it is about something i know
******Please help me please help me help please help*****
9514 1404 393
Answer:
(c) y = 36·5
Step-by-step explanation:
If x represents the number of chocolates, the given formula ...
y = kx
with the values k = 36 and x = 5 inputted will look like ...
y = 36·5
9. The sum of three consecutive EVEN integers is 50 more than the third
integer. Find the integers.
Answer:
Step-by-step explanation:
The smallest integer is 2x - 2
The middle integer = 2x
The largest integer = 2x + 2
2x - 2 + 2x + 2x + 2 = 2x + 2 + 50 Combine
6x = 52 + 2x Subtract 2x from both sides
6x-2x = 52 Combine
4x = 52 Divide both sides by 4
4x/4 = 52/4
x = 13
The three integers are
2x - 2 = 24
2x = 26
2x + 2 = 28
what is 4.23x10-7 in standard form
Answer:
i think it is all ready in standard form
is the original number 0.000000423 if yes then it is in standard form
please help will give brainliest
options are
w=v/lh
w=lh/v
w=vl/h
w=vm/l
Answer:
B
Step-by-step explanation:
Answer
BBBBBBBBBBBBBBB
Step-by-step explanation:
If y = 14 when x = 8, find y when x = 12.
Let r = .05 be the reserve rate. Which of the following is the money multiplier?
Answer:
1/0.05
Step-by-step explanation:
The formula for the money multiplier is :
1/ Reserve rate
If is wrong i'm sorry
Answer:
1/0.05
Step-by-step explanation:
Just did test
Hey, What’s up I think I know the answer but I’m not 100% so I’m asking you.
Answer:
120ft squared
Step-by-step explanation:
We'll first separate this into 3 rectangles where the height changes.
We then have 3*8*2, 3*7*2, and 3*5*2.
This solves to 48, 42, and 30.
Those added are 120.
Cassie has a box that is a cube with a side length of
4 inches. She needs a second box that has 3 times the
volume of the first box.
Answer:
second box must be 192in^3
Step-by-step explanation:
its a cube so length width height is all the same therefore,
4×4×4= 64
now u need a 2nd box 3 times volume of 1st all u need to do is multiply
64×3= 192
Answer 192
Step-by-step explanation:
can anyone heelp me pls pls
Answer: liquid= lotion capsule= solid suspension=semisolid
Step-by-step explanation:
What are the terms in the expression 4 + 9v + 6w? A. v and w b. 9 and 6 c. 4, 9v, and 6w d. 4, 9, and 6
Answer:
How do you want me to solve?
Answer:
A po answer jan (20 daw characteristics bago masend sagot)
Find the rate of change demonstrated in the graph below.
The rate of change of a graph, is the slope of the graph.
The rate of change of the graph is 4.5
The points on the graph are:
[tex]\mathbf{(x,y) = (2,9) (4,18)}[/tex]
So, the slope (m) is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
This gives
[tex]\mathbf{m = \frac{18 - 9}{4-2}}[/tex]
[tex]\mathbf{m = \frac{9}{2}}[/tex]
[tex]\mathbf{m = 4.5}[/tex]
Hence, the rate of change of the graph is 4.5
Read more about rates at:
https://brainly.com/question/12786410
Hurry please What is the equation of this line
A. Y=1/4x-6
B. Y=6x-4
C. Y=6x-1/4
D. Y=4x-6
What is the equation of this line?
Answer:
D. Y = 4x-6
1. Given (11,7) and (x,−5), find all x such that the distance between these two points is 13. Separate multiple answers with a comma.
2. Find the standard form of the equation for the circle with the following properties.
Center (8,−7/3) and tangent to the y-axis
9514 1404 393
Answer:
1. x = {6, 16}
2. (x -8)² +(y +7/3)² = 64
Step-by-step explanation:
1. The distance formula is useful for this.
d² = (x2 -x1)² +(y2 -y1)²
13² = (x -11)² +(-5 -7)² . . . . . . . . fill in the given point coordinates
169 -144 = (x -11)² = 25 . . . . . . subtract 144
x -11 = ±5 . . . . . . . . . . . . . . . . . take the square root
x = 11 ±5 = {6, 16} . . . . . . . . . . add 11
The values of x that make the points 13 units apart are 6, 16.
__
2. The standard form equation of a circle is ...
(x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r
In order for the circle to be tangent to the y-axis, the radius must be equal to the distance the center is from the y-axis: the x-coordinate of the center point. That is, r = 8.
(x -8)² +(y +7/3)² = 64
4.8/(1 7/9)=(1.2b):6 2/3 I will mark as brainliest, i swear
Answer:
b = 15
Step-by-step explanation:
Answer:
b = 15
Step-by-step explanation:
Solve for b:
4.8/ 1 7/9 = 1.2b/6 2/3
Cross multiply:
6 2/3 * 4.8 = 1.2b * 1 7/9
6 * 3 + 2/3 * 4.8 = 1.2b * 9 + 7/9
20/3 * 48/10 = 12b/10 * 16/9
20 * 4 = b * 16/3
5 = b * 1/3
b = 5 * 3
b = 15
Help me with this please
Answer:
178 maybe tell its right or wronv