Step-by-step explanation:
k = a constant of proportionality
Putting m = 1kg, a = 1 ms-2
F becomes 1 N.
So, 1 N = 4 × 1kg × 1 ms-2
∴ k = 1
From equation (1), we have
F = ma
Which expressions are equivalent to 8(2s + 6)? Select all that apply. A) 16s + 6 16s + 48 © 10s + 48 D 4(45 + 12) E 2(45 + 1) + 4(2s + 1)
Answer:
16s + 48
Step-by-step explanation:
8(2s) = 16
8(6) = 48
Identify the correct graph of the system of equations.
3x + y = 12
x + 4y = 4
Conduct the following test at the level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether . Sample data are , , , and . (a) Determine the null and alternative hypotheses. Choose the correct answer below. A. versus B. versus C. versus Your answer is correct.D. versus (b) The test statistic is nothing. (Round to two decimal places as needed.)
Answer:
Hello your question is poorly written the complete question is attached below
answer :
a) H0 : p1 = p2
Ha : p1 ≠ p2
b) Z = -0.58
c) P-value = 0.561915
d) we will reject the Alternative hypothesis
Step-by-step explanation:
For sample 1 ; n1 = 254 , x1 = 28
For sample 2 ; n2 = 301 , x2 = 38
level of significance ∝ = 0.01
P1 = X1 / n1 = 28 / 254 = 0.1102
P2 = X2 / n2 = 38 / 301 = 0.126
a) Determine the null and alternate hypothesis
H0 : p1 = p2
Ha : p1 ≠ p2
b) Determine Test statistic
we perform a Z-statistic to test the hypothesis
Z = \(\frac{p1-p1 }{\sqrt{( p(1-p)*(\frac{1}{n1}+\frac{1}{n2}) ) } }\) -------- ( 1 )
p = ( x1 + x2 ) / ( n1 + n2 )
= ( 28 + 38 ) / ( 254 + 301 ) = 0.1189
Where: p = 0.1189 , p1 = 0.1102 , p2 = 0.126 ( input values into equation 1 )
∴ Z = -0.58
c) Determine P-value
P-value = 0.561915 ( using excel function )
d) conclusion : since p-value > 0.01 ( level of significance ) we do not reject the null hypothesis. therefore it proves that p1 = p2
incorrect
Question
Peter wishes to create a retirement fund from which he can draw $40,000 when he retires and the same amount at each anniversary
of his retirement for 20 years. He plans to retire 15 years from now What investment need he make today if he can get a return of
5% per year, compounded annually!
Peter needs to invest how much money
Using compound interest, it is found that Peter needs to invest $404,054.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
He plans to make 21 with drawings of $40,000, hence A(t) = 21 x 40,000 = 840,000.He will start doing this 15 years from now, hence t = 15.The interest is compounded annually, hence n = 1.The interest rate is of r = 0.05.The investment made is P, hence:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
\(840000 = P\left(1 + \frac{0.05}{1}\right)^{15}\)
\(P = \frac{840000}{(1.05)^{15}}\)
\(P = 404054\)
Peter needs to invest $404,054.
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Which choice is equivalent to the expression below?
28.24
O A. 28 + 22/10 + 24/100
O B. 28+ 2/10 + 4/10
O C. 28. 22/10. 24/100
O D. 28. 224/10
Answer:
C
Step-by-step explanation:
Drag and drop the relationships below to classify them as being a function or not a function?
A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.
Determine the domain of a piece wise function?Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.
Determine the range of a piece wise function?Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.
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The point P is on the unit circle. If the y-coordinate of P is −3/5 and PP is in quadrant IV , then X= ?
The value of X is 4/5 if point P is on the unit circle and if the coordinate of P is -3/5 and P is in iV quadrant.
We know that unit circle is the circle of radius 1 unit. We are given the y-coordinate of P, that is y = -3/5. Now if we draw a perpendicular line at x-axis, and we know the length of line joining the P and the origin is 1 unit (h = 1). We can construct a right triangle. Then by pythagorean theorem.
x² + y² = h²
x² = √(h² - y²)
x² = √(1² - (-3/5)²)
x² = √(1 - (9/25))
x² = √(16/25)
x = 4/5
Since X is in the IV quadrant, where x is positive and y is negative.
So x = +4/5
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PLEASE HELP!!!!!!
The box plot displays the number of flowers planted in a town last summer.
10
Flowers Planted In Town
13 14 15 16 17 18 19 20 21 22 23 24
Number of Flowers
Which of the following is the best measure of center for the data shown, and what is that value?
O The mean is the best measure of center and equals 12.
O The mean is the best measure of center and equals 10.
The median is the best measure of center and equals 12.
30 31
The median is the best measure of center and equals 10.
The best measure of center for the data shown is the median, and its value is 17.
The median is the best measure of center for the given data set. To find the median, we arrange the numbers in ascending order:
10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24
Since the data set has an odd number of values, the median is the middle value, which in this case is 17.
Therefore, the best measure of center for the data shown is the median, and its value is 17.
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-
3. Which mathematical symbol would best fill in the blank to compare the two real numbers? (4 points)
14
5
Order the set of numbers from least to createst (noints
=
Step-by-step explanation:
the numbers are equal n if u work out all of them ull get the same answer
Answer:
the value of √7=2.645751311065 and value of 14/5=2.8
so.......
√7<14/5
In 2000, the number of people infected by a virus was P. Due to a new vaccine, the number of infected people has decreased by 11% each year since 2000? Find the formula for P = f(n), the number of infected people n years after 2000.
Answer:
fn+e= 1978
Step-by-step explanation:
I can write an equation
Answer:
Step-by-step explanation:
y = mx + b
slope m is found as the change in y over the change in x
as y decreases 3 units for a 3 unit increase in x, the slope is -3/3 = -1
The y intercept b is where the plot crosses the y axis, 4 units above the x axis
y = -1x + 4
or
y = 4 - x
9. On the coordinate grid below, the dashed figure is the image of a dilation applied to the larger solid figure. 0Which of the following represents this dilation?A. (X, y) (x-3/8, y- 3/8) B. (x,y) → (x-3/8, (y-3) C. (x, y) (-5/8x, 5/8y)
9. The dilation of the larger solid figure on the coordinate grid to obtain the dashed figure can be represented by the expression in option C
C. (x, y), (-5/8·x, 5/8·y)
What is a dilation transformation?A dilation transformation is one in which the dimensions of the sides of the pre-image are increased (enlarged) or decreased to get the image.
9. The dilation of a function, f(x), by a factor k are; f(k·x), and k·f(x), where;
f(k·x) is an horizontal dilation, and k·f(x) is a vertical dilation
The ordered pair (x, y) which can be expressed as (x, f(x)), where, y = f(x), following a dilation by a factor of k is therefore;
\((x, \, y) \overset{D_k}\rightarrow (k\cdot x, \ k\cdot f(x)) = (k\cdot x, \ k\cdot y)\)
The representation of a dilation of a point (x, y), by a factor of k is therefore, obtained by multiplying both the x and y-values by the factor k, as follows;
(x, y) \(\overset{D_x} \rightarrow\) (k·x, k·y)
Similarly, the representation of the reflection of the point (x, y) across the y-axis is the point (-x, y)
The point (-5.8·x, 5/8·y),m is therefore obtained from the dilation of the point (x, y), by a factor of 5/8, followed by a reflection across the y-axis.
The option that represents the dilation is therefore, option C
C. (x, y), (-5/8·x, 5/8·y)
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You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 73%. You would like to be 95% confident that your estimate is within 4% of the true population proportion. How large of a sample size is required
Answer:
A sample size of 474 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
The margin of error is of:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
Based on previous evidence, you believe the population proportion is approximately 73%.
This means that \(\pi = 0.73\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.04. So
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.04 = 1.96\sqrt{\frac{0.73*0.27}{n}}\)
\(0.04\sqrt{n} = 1.96\sqrt{0.73*0.27}\)
\(\sqrt{n} = \frac{1.96\sqrt{0.73*0.27}}{0.04}\)
\((\sqrt{n})^2 = (\frac{1.96\sqrt{0.73*0.27}}{0.04})^2\)
\(n = 473.24\)
Rounding up:
A sample size of 474 is required.
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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2. Brownies at the school bake sale are 3 for $5.50. What is the price of one brownie?
Answer:
$1.83
Step-by-step explanation:
5.50÷3 = 1.8333333 = 1.83
Help me please!!!!!!!!
Answer:
The ratios are not equal, so this is not a dilation.
Step-by-step explanation:
4/3 is the first ratio
3/4 is the second ratio
Since these ratios are not equal there is not a dilation.
perpendicular to y=2/3x+2 and passes through the point (3,4). NEED HELP! TEST COMING SOON!
Answer:
The perpendicular line to y=2/3x+2 and passes through the point (3,4) is y = -3/2x - 1/2
Step-by-step explanation:
A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line.
so for the y=2/3x+2,
the slope is 2/3, the negative reciprocal is,
- 3/2 (new slope)
y = mx + b
y = (-3/2)x + b
plug in the point (3,4):
(4) = (-3/2)(3) + b
(4) = (-9/2) + b
(4) + (-9/2) = (-9/2) + (-9/2) + b
- 1 / 2 = b
y = (-3/2)x - 1/2
Let me know if you have any questions!
need help ASAP Refer to the article “The Future of Money” in your Money, Money, Money magazine for a complete version of this text.
How does the author best support the point that fraud and counterfeiting are nearly impossible when using cryptocurrency?
Drag the correct answer into the box. by provin g that peole are easier to fool than machines when completing or conducting or is it by encouraging readers to compare the pro and cons of using cryptocurrency or is it by explaining how nodes interact with the blockchain to prevent cheating during financial transactions
Answer:
by explaining in nodes interact with the blockchain to prevent cheating during financial transactions
Step-by-step explanation:
Answer:
By explaining how nodes interact
Step-by-step explanation:
find the set of solutions for the linear system use x3, x2, etc. for the free variables if necessary. indicate if a variable is free by writing the same variable in the space (so if is free, write x1).
The set of solutions for the linear system is x1 = 6, x2 = 3, and x3 = -4.
The linear system is given as follows:
x1 + x2 - x3 = 6
2x1 + x2 + 2x3 = 8
3x1 + 2x2 + 3x3 = 14
To solve this system, we will use the Gauss-Jordan elimination method. First, we will subtract twice the first equation from the second equation and three times the first equation from the third equation.
2x1 + x2 + 2x3 = 8
- 2(x1 + x2 - x3 = 6)
2x1 + x2 + 2x3 = 8
3x1 + 2x2 + 3x3 = 14
- 3(x1 + x2 - x3 = 6)
0x1 + 3x2 + 5x3 = 6
Next, we will subtract three times the second equation from the third equation.
3x1 + 2x2 + 3x3 = 14
- 3(0x1 + 3x2 + 5x3 = 6)
3x1 + 2x2 - 2x3 = 8
Finally, we will divide the first equation by 1, the second equation by 3, and the third equation by -2.
x1 + x2 - x3 = 6
/ 1
x1 + (1/3)x2 + (5/2)x3 = 3
(-1/2)x1 + x2 + x3 = -4
The set of solutions for the linear system is x1 = 6, x2 = 3, and x3 = -4.
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Can someone help me
The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.
How to find the scale factor ?To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.
The side length we will pick is AB which is:
= 6 - 2
= 4 units
The side length of the other triangle is A' B' :
= 3 - 1
= 2 units
The scale factor is:
= 2 / 4
= 1 / 2
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NEED HELP PLEASE!!!!!!
Answer:
i wish i knew im in the same situwantion
Step-by-step explanation:
After training for and running a marathon, an athlete wants to reduce her daily run
by half each day. The marathon is about 26 mi. How many days will it take after the
marathon before she runs less than a mile a day? Show your work.
Answer:
6 days
Step-by-step explanation:
This question becomes much easier when written out per day (shown below). The question tells us that she is reducing her run by half every day, so all we need to is divide the previous day by 2 to get the current day. She starts out with 26 miles so this is our day 1 value.
Day 1 = 26 miles
Day 2 = 13 miles (26÷2=13)
Day 3 = 6.5 miles (13÷2=6.5)
Day 4 = 3.25 miles (6.5÷2=3.25)
Day 5 = 1.625 miles (3.25÷2=1.625)
Day 6 = 0.8125 miles (1.625÷2=0.8125)
We can see that by day 6, her total running amount is less that 1 mile, so the final answer is 6 days.
once again i need help with my 8th grade hw \(-9\leq 7-8x\) ... thnx
Step-by-step explanation:
-9 ≤ 7 − 8x
8x ≤ 16
x ≤ 2
PLEASE PLEASE PLEASE HURRY IM BEGGING YOU! I WILL GIVE BRAINLIEST! 20 PTSSSSS
Need help asap! Please and thank you
Answer:
D
Step-by-step explanation:
What is 4,500,000,000 in scientific notation?
A. 45 x 10^-7
B. 4.5 x 10^9
C. 4.5 x 10^-9
D. 4.5 x 10^8
Answer:
option B
4.5×10^9
Step-by-step explanation:
I HOPE THIS WILL HELP YOU :)
Answer:
B. 4.5 x 10^9.
Step-by-step explanation:
Scientific notation is of the form:
N x 10^n where 1 ≤ N < 10 and n is an integer ( ≠ 0)
We count the number of digits after the first one ( 4) - this comes to 9.
So the correct answer is 4.5 * 10^9.
Solve for x round to the nearest tenth of a degree if necessary
PLEASE I NEED HELP
On solving the provided question, we can say that - sine of x = arcsin 39/74 = 31.8 degrees
What is opposite side?The hypotenuse of a right triangle is its longest side, while its "opposite" and "adjacent" sides are those that are across from and next to the same angle, respectively. For the sides of right triangles, we have unique terminology. A right triangle's hypotenuse is always the side that faces away from the right angle.
What is hypotenuse?
The hypotenuse of a right triangle is its longest side, while its "opposite" and "adjacent" sides are those that are across from and next to the same angle, respectively. For the sides of right triangles, we have unique terminology. A right triangle's hypotenuse is always the side that faces away from the right angle.
Here the sine of x = ( / (hypotenuse) = 39/74. Using a calculator with the inverse trig functions built in, we find
arcsine 39/74 = 31.8 degrees
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HELP PLEASEEEEE!!!!!!
Answer:
Step-by-step explanation:
(0.1)²=0.01
(0.2)²=0.04
(0.3)²=0.09
(0.4)²=0.16
(0.5)²=0.25
(0.6)²=0.36
(0.7)²=0.49
(0.8)²=0.64
√0.5 or √0.50 is between √0.49 and √0.64
or
0.7 and 0.8
(0.01)²=0.0001
(0.02)²=0.0004
(0.03)²=0.0009
(0.04)²=0.0016
(0.05)²=0.0025
so √0.002 or √0.0020 is between √0.0016 and √0.0025
or between 0.04 and 0.05
Ally wants to attend a Broadway show but needs to figure out a way to get into Manhattan. She wants to take a yellow taxi to Manhattan. The yellow taxi charges $1.75 flat rate in addition to $0.65 per mile. Ally has no more than $10 to spend on a ride. How many miles can Ally ride the yellow taxi without going over her budget? Label a variable, write an inequality that represents the number of miles, solve the inequality and leave your answer as an exact decimal. PLS!
Answer:12.6923076923
Step-by-step explanation:for starters u have to subtract 1.75 out of 10 dollars after that u have to divide 8.25 which is the left over of 1.75 minus 10 after u divide u should get 12 if u round but since u want the full decimal thinggy it is 12.6923076923
4. Sketch the graph of F(x) = 1 +x/x²-1
The graph of the function is attached below.
What is the graph of a function?The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.
Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.
We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.
In the given problem;
The graph of the function f(x) = 1 + x / x² - 1 is attached below;
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