Answer:
B. [tex]86\,\frac{m}{s^{2}}[/tex]
Step-by-step explanation:
From Newton's Laws of Motion, the spring is compressed against effects of weight of the person and as sping force is a restitutive force, the net force experimented by person is different from zero. By applying Second Newton's Law, we get this equation of equilibrium on person:
[tex]\Sigma F = k\cdot \Delta x -m\cdot g = m\cdot a[/tex] (Eq. 1)
Where:
[tex]k[/tex] - Spring constant, measured in newtons per meter.
[tex]\Delta x[/tex] - Change in the length of spring, measured in meters.
[tex]m[/tex] - Mass of the person, measured in meters.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]a[/tex] - Net acceleration of the person, measured in meters per square second.
Now we proceed to clear net acceleration:
[tex]a = \frac{k}{m}\cdot \Delta x -g[/tex]
If we know that [tex]k = 1.4\times 10^{4}\,\frac{N}{m}[/tex], [tex]m = 60\,kg[/tex], [tex]\Delta x = 0.41\,m[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], the acceleration of the person when spring reaches its greatest compression at the bottom of their jump is:
[tex]a = \frac{1.4\times 10^{4}\,\frac{N}{m} }{60\,kg} \cdot (0.41\,m)-9.807\,\frac{m}{s^{2}}[/tex]
[tex]a = 85.859\,\frac{m}{s^{2}}[/tex]
Which corresponds to option B.
5. If three times a number is increased by 4, the result is -8.
Step-by-step explanation:
Hey there!
Let the unknown number be x. Then;
According to the question;
3x+4= -8
3x = -12
x = -12/3
Therefore, x = -4
Check:
3*-4 +4 = -8
-12+4 = -8
-8= -8 (True).
Hope it helps...
A sequence of transformations is applied to triangle CDE to create triangle C'D'E'.
Select all the sequences of transformations that could be applied to triangle CDE so that triangle CDE is congruent to triangle C'D'E'.
(Choose 3 Choices)
Question 1 options:
a clockwise rotation of 90 degrees and then a dilation be a scale factor of 2
a dilation by a scale factor of 2 and then a reflection across the y-axis
a clockwise rotation of 90 degrees and then a reflection across the y-axis
a translation 5 units down and then a dilation by a scale factor of 2
a translation 5 units down and then clockwise rotation of 90 degrees
a reflection across y-axis and then translation 5 units down
Answer: a c e are the correct ones i think
0.16
As a repeating fraction
Answer:
What are you asking for?
Step-by-step explanation:
I'll answer again i just need to know more srry lo
if f(x)= 4x+1 find f(3)
Answer:
13
Step-by-step explanation:
f(x)=4x+1
f(3)=?
f(3)= 4(3)+1= 12+1=13
Answer:
13
Step-by-step explanation:
x convert to 3
f(x)= 4(3)+1
f(x)= 12+1
f(x)= 13
I am not sure with the answer though, I just tried. I hope it helped you. ❤
Someone Help Me Please. ?
Answer:
I’m guessing number 3
Step-by-step explanation:
Do you think that T I K T O K will be not allowed to operate in the United States?
Explain.
Answer:
Step-by-step explanation:
I think it will not because there are a lot of tiktokers and a big amount of tik tok users
Answer:
yes
Step-by-step explanation:
Three partners started a business with a joint capital of rs 1200000 if they invested in the ratio of 2:5:3 , how much did each invest
Number of business partners who started a business = 3
The total money they invested = 1200000
The ratio in which they invested = 2 : 5 : 3
Total number of parts = 2 + 5 + 3 = 10
Each part = 1200000 ÷ 10
Each part = 120000
Number of parts invested by one of the partners = 2
Money they invested = 120000 × 2
Money they invested = 240000
Number of parts invested by another partner = 5
Money another partner invested = 120000 × 5
Money they invested = 600000
Number of parts invested by the third partner = 3
Money invested by the last partner = 120000 × 3
Money they invested = 360000
Therefore , each of the partners invested 240000 , 600000 and 360000 rupees respectively .
Chan Hee bought 6.4 pounds of coffee that cost $9.65 per pound. How much did he spend on coffee
?
Answer: $61.76
Step-by-step explanation:
Multiply the price of coffee ($9.65) times the weight (6.4)
=$61.76
Answer:
50.18
Step-by-step explanation:
.
The quarter note is the note with the shortest duration.
True
False
Answer:
false
Step-by-step explanation:
A 256th note is known as a demisemihemidemisemi quaver
Answer:
False
Step-by-step explanation:
because its not the shortest there are another
There are approximately 330,000,000 cubic miles of water on Earth. A cubic mile is approximately 147,200,000,000 cubic feet. How much water is on Earth? Estimate using scientific notation
Answer: 4.8576 × 10^19 cubic feet of water.
Step-by-step explanation:
330m * 147.2b = 48 quintillion feet.
Answer:
5 x 10^19 ft^3
Step-by-step explanation:
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0, 1) The equation ex = 3 − 2x is equivalent to the equation f(x) = ex − 3 + 2x = 0. f(x) is continuous on the interval [0, 1], f(0) = _____, and f(1) = _____. Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)
Answer:
f(x) is continuous on the interval [0, 1], f(0) = -2 , and f(1) = 1.718 . Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)
Step-by-step explanation:
From the question we are told that
The equation is [tex]f(x) = e^x - 3-2x [/tex]
The interval is [0, 1]
Generally f(0) is
[tex]f(0) = e^0 - 3-2(0) [/tex]
=> [tex]f(0) = 1 - 3-2(0) [/tex]
=> [tex]f(0) = -2[/tex]
Generally f(1) is
[tex]f(1) = e^1 - 3-2(1) [/tex]
[tex]f(1) = e^1 - 1 [/tex]
[tex]f(1) = 1.718 [/tex]
From the value we see that at x = 0 , f(0) = -2 which is below the x-axis
and the at x = 1 , f(1) = 1.718 which is above the x-axis
Now the according to Intermediate Value Theorem , given the condition stated above, there will exist a root c in the interval such that
f(c) = 0
so far 72 % of 300 tickets have been sold for the concert. How many tickets have been sold?
Answer:216 tickets
Step-by-step explanation
Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their grade-point averages (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
SAT SCORE :
421
375
585
693
608
392
418
484
725
506
613
706
366
GPA:
2.93
2.87
3.03
3.42
3.66
2.91
2.12
2.50
3.24
1.97
2.73
3.88
1.58
Using the online linear regression calculator ; the regression model obtained is :
ŷ = 0.00345X + 1.00301
0.00345 = slope or gradient
1.00301 = intercept ; where the regression line crosses the y axis
X = independent variable or predictor variable ; y = dependent variable or predicted variable
what does they y represent in the equation y=mx+b
Answer:
The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.
m∠3 = 57. Find m∠1. (I'm just typing here to meet the 20 character min.)
Answer:
The correct answer is 57 degrees.
Step-by-step explanation:
To solve this problem, we must remember that vertical angles (angles that are across from each other) are congruent, which means that they have the same measure.
In the diagram, angle 3 and angle 1 are vertical angles, so we can conclude that they have the same measure.
Therefore, m<1 = m<3 = 57 degrees.
Hope this helps!
Which statement correctly describes the expression ( - 15)3?
Answer: One factor is positive and one is negative, so the product will be negative.
Answer:
One factor is positive and one factor is negative, so the product will be negative
Step-by-step explanation:
If you see there (-15)3 so -15 is a negative number and 3 is a positive and when you multiple a negative number with a positive number it becomes negative.
I need help !!
Don’t understand it..
Answer:
d
Step-by-step explanation:
Answer:
B. h(x)=(x+1) (10x-1)
Step-by-step explanation:
B. h(x) = (x+1) (10x-1)
h(x)=10x^2+10x-x-1
h(x)=10x^2+9x-1
Use the information to find the minimum sample size required to estimate an unknown population mean µ. Margin of error: $110, confidence level: 95%, σ = $500. Group of answer choices
Answer:
The minimum sample size required is 79.
Step-by-step explanation:
The following are given in the question:
e = Margin of error = 110
σ = Standard deviation = 500
Confidence level = 95%
n = Minimum sample size = ?
Therefore, we have:
Zσ = 1.96 at 95% confidence level
s.e. = Standard error = σ / [tex]\sqrt{n}[/tex] = 500 /
Alternatively, margin of error can be calculated as follows:
e = s.e. * Zσ = 110 ................... (1)
Substituting the other values into equation (1) and solve for n, we have:
500 / [tex]\sqrt{n}[/tex] * 1.96 = 110
500 / [tex]\sqrt{n}[/tex] = 110 / 1.96
500 / [tex]\sqrt{n}[/tex] = 56.1224489795918
500 = 56.1224489795918 * [tex]\sqrt{n}[/tex]
[tex]\sqrt{n}[/tex] = 500 / 56.1224489795918
[tex]\sqrt{n}[/tex] = 8.90909090909092
[tex]n^{\frac{1}{2}[/tex] = 8.90909090909092
Squaring both sides, we have:
([tex]n^{\frac{1}{2}[/tex])^2 = (8.90909090909092)^2
n = 79.3719008264465
Approximating to a whole number, we have:
n = 79
Therefore, the minimum sample size required is 79.
Calculate the area of the trapezoid.
12 mm
5 mm
9 mm
________square millimeters
Answer:
52.5 square millimeters.
Step-by-step explanation:
Area of a Trapezoid = (a+b/2)h
= (9+12/2)•5
=(21/2) • 5
= 10.5 • 5
= 52.5 square millimeters
hope this helps!
Answer:
52.5 mm^2 (square millimeters)
Step-by-step explanation:
Just split the figure into two sections to make a rectangle, and a right triangle (This whole figure can be thought of as a composite figure)
Once that is done, you will notice that the length and width of the rectangle is 9mm by 5mm, and the triangle is 3mm by 5mm (because 12mm - 9mm is 3 mm, and the height of the triangle is shared with the width of the rectangle).
The area of a triangle is 1/2(base×height) [just as a triangle is half of a rectangle], so the area of the rectangle is (length × width).
Therefore the 9mm by 5mm rectangle has an area of 9×5 mm = 45 mm^2, and the 3mm by 5mm triangle has an area of 1/2(5×3) = 15/2 = 7.5 mm^2.
Add both areas to find the total area:
45mm^2 + 7.5mm^2 = 52.5 mm^2.
____________________________
Or using the formula for the area of a trapezoid: A = h (b1 + b2) / 2
Where A is the area, b1 is the first base, b2 is the second base, and h is the height of the figure.
Given that our first base is 9, second base is 12, and our height is 5.
A = h ( b1 + b2 ) / 2 → A = 5 ( 9 + 12 ) / 2 → 5 ( 21 ) / 2 → 105 / 2 → 52.5
Then just put this quantity in mm^2 because it is the area of the figure in that unit.
→ 52.5 mm^2
_____________________________
which of the rolling values are solutions to the inequality , ILL MARK BRAINLIST !!!
Answer:
II and III
Step-by-step explanation:
I...
-9 - 5x > -1
-9 - 5(2) > -1
-9 - 10 > -1
-19 > -1
FALSE
II...
-9 - 5x > -1
-9 - 5(-5) > -1
-9 + 25 > -1
16 > -1
TRUE
III...
-9 - 5x > -1
-9 - 5(-10) > -1
-9 + 50 > -1
41 > -1
TRUE
Best of Luck!
Answer:
II. and III.
Step-by-step explanation:
-9 - 5x > -1
I. 2
-9 - 5(2) > -1
-9 - (10) > -1
-19 > -1
- 19 is not more than -1, thus I. is not an option
II. -5
-9 - 5(-5) > -1
-9 + 25 > -1
16 > -1
16 is more than -1, thus II. is an option
III. -10
-9 - 5(-10) > -1
-9 + 50 > -1
41 > -1
41 is more than -1, thus III. is an option
Find the equation of a line that contains the points (7,3) and (−7,2). Write the equation in slope-intercept form, using fractions when required.
What is the slope of the equation of this line? (Put into y=mx+b form first). 6x+y=-1
Answer:
-6
Step-by-step explanation:
6x + y = -1
y = -6x-1
slope which is m is -6
Never Going To Give You Up never going to let you down never gonna run around baby nor desert you Rick roll..
Answer:
we're no strangers to love
Step-by-step explanation:
you know the rules, and so do I
Explain how the sample proportion p-hat can be viewed as the sample mean X-bar.
Answer:
Step-by-step explanation:
we need the picture
Jill had 4 full pans of brownies. Each pan was the same size. She gave 1/2 of the original amount of brownies to her friends. She then gave 1/4 of what was left to her teacher.
Answer:
She gave 2 pans to her friend.
She gave 1/2 pan to her teacher.
She has 1.5 pans left.
Step-by-step explanation:
(1,0) (2,1) put into standard form
Answer:
(1,0) (2,1) = (0) (2,1) = (0) (2) = 0
Step-by-step explanation:
1,0 is multiplication which would be 0 and the same applies for 2,1 which would be 2. 0 x 2 is 0 you know it's multiplication because there's no symbol between the parenthesis.
whats 62.7×2.45......?
Answer:
153.615
Step-by-step explanation:
62.7 × 2.45=153.615
the product of -4 and a number is 36 find the number?
Answer:
32
Step-by-step explanation:
if you add 4- + 36 it's exactly the same as saying 4 - 36 = 32
pls mark brainlest for real :,,(
2(x + 1) = −2
writ this down on a piece of paper
Answer:
X= -2
Step-by-step explanation:
Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend
answer:
Juanita spent 1 1/2 times as much as Jared, how much did she spend?
$63
explanation:
one and a half of 42 is: 63
so,
the answer is Juanita spent $63!
Juanita paid $63 for the phone, which is equal to 3/2 of what Jared paid while buying the phone.
What is the definition of a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.How are mixed fractions written?Follow these procedures to convert an incorrect fraction to a mixed number:
Subtract the denominator from the numerator. The quotient's whole number component should be written down. Write the leftover amount on top of the original denominator.Given: Jared spent $42 on a cell phone.
We need to determine 1 and 1/2 which is 3/2 of total amount spent by Juanita.
So,
42(3/2) = $63
Therefore, Juanita spent $63 which is 3/2 amount spent by Jared in buying the cell phone.
Learn more about mixed fraction here:
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