Answer:
\(A). \: \$31,411.80\)
Step-by-step explanation:
\(s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8\)
Answer:A
Step-by-step explanation:
MARS On Mars, the gravity acting on an object is less than that on Earth. On Earth, a golf ball hit with an initial upward velocity of 26 meters per second will hit the ground in about 5.4 seconds. The height h of an object on Mars that leaves the ground with an initial velocity of 26 meters per second is given by the equation h=−1.9t2+26t
. How much longer will it take for the golf ball hit on Mars to reach the ground? What is the maximum height of the golf ball on Mars? Round your answer to the nearest tenth.
It takes about
seconds longer for the golf ball hit on Mars to reach the ground.
The maximum height of the golf ball on Mars is about
meters.
The maximum height of the golf ball on Mars is about 48.8 meters.
To find how much longer it would take for the golf ball hit on Mars to reach the ground, we can use the given equation h = -1.9t² + 26t, where h is the height of the object and t is the time in seconds. First, we need to find the time it takes for the golf ball to reach the ground on Mars. Setting h = 0, we get:
0 = -1.9t² + 26t
Solving for t using the quadratic formula, we get t = 13.684 or t = 0.856. Since the golf ball is launched upward, we need the positive value of t, so it takes about 13.7 seconds for the golf ball to reach the ground on Mars. Therefore, it takes 13.7 − 5.4 = 8.3 seconds longer for the golf ball hit on Mars to reach the ground than the golf ball hit on Earth.
To find the maximum height of the golf ball on Mars, we can use the formula h = -1.9t² + 26t, where t is the time when the height is maximum. Since the formula is a quadratic equation, the maximum height occurs at the vertex of the parabola, which is at t = -b/2a.
In this case, a = -1.9 and b = 26, so the time at maximum height is t = -26 / 2(-1.9) = 6.842. Plugging this value into the equation for h, we get:
= -1.9(6.842)² + 26(6.842) ≈ 48.8 meters
For such more questions on height
https://brainly.com/question/597381
#SPJ8
Which of these equations, when solved, gives a different value of x than the other three?
9.1 = -0.2x + 10
10 = 9.1 + 0.2x
10 – 0.2x = 9.1
9.1 – 10 = 0.2x
Answer:
D. 9.1 – 10 = 0.2x
Step-by-step explanation:
I got it right
The odd equation with a different value is equation d
Data;
9.1 = -0.2x + 1010 = 9.1 + 0.2x10 - 0.2x = 9.19.1 - 10 = 0.2xLinear EquationTo solve this problem, we have to solve each of the linear equations and get the value of x.
a)
\(9.1 = -0.2x + 10\\10 - 9.1 = 0.2x\\0.9 = 0.2x\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5\)
b)
\(10 = 9.1 + 0.2x\\0.2x = 10 - 9.1\\0.2x = 0.9\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5\\\)
c)
\(10 - 0.2x = 9.1\\-0.2x = 9.1 - 10\\-0.2x = -0.9\\x = 4.5\)
d)
\(9.1 - 10 = 0.2x\\0.2x = -0.9\\x = -4.5\)
The odd equation with a different value is equation d
Learn more on linear equation here;
https://brainly.com/question/1884491
|||
The Normal Distribution)
Question 9 of 16 (1 point) | Question Attempt 1 of 3
Electricity bills: According to a goverment energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.77. Assume
the amounts are normally distributed with standard deviation $22.00. Use the TI-84 Plus calculator to answer the following.
(a) Find the 8th percentile of the bill amounts.
(b) Find the 69th percentile of the bill amounts.
(c) Find the median of the bill amounts.
Round the answers to at least two decimal places.
Part 1 of 3
The 8th percentile of the bill amounts is S
Part 2 of 3
The 69th percentile of the bill amounts is
Part 3 of 3
The median of the bill amounts is
(a) The 8th percentile of the bill amounts is $77.77.
(b) The 69th percentile of the bill amounts is $120.67.
(c) The median of the bill amounts is $109.77.
What is z-score?A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values.
Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.
(a) To find the 8th percentile of the bill amounts, we need to find the value of x such that 8% of the data lies below that value.
The z-score corresponding to the 8th percentile is approximately -1.41.
Now we can use the formula for z to find the corresponding value of x in the original distribution:
z = (x - μ) / σ
-1.41 = (x - 109.77) / 22
Solving for x, we get:
x = -1.41 (22) + 109.77 = 77.77
Therefore, the 8th percentile of the bill amounts is $77.77.
(b) The z-score corresponding to the 69th percentile is approximately 0.49.
Using the same formula for z, we get:
0.49 = (x - 109.77) / 22
Solving for x, we get:
x = 0.49 (22) + 109.77 = 120.67
Therefore, the 69th percentile of the bill amounts is $120.67.
(c) The median of a normal distribution is simply the mean of the distribution.
Therefore, the median of the bill amounts is $109.77.
To learn more about the z score;
https://brainly.com/question/15016913
#SPJ9
what digit 7 sits in this number 714,583
Answer:
Hundred thousands place.
Answer:
In this case the number 7 would be located in the hundreds of thousands.
---
Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Evaluate
4x4+ (2x3)x 9+11+1
Answer:
82
Step-by-step explanation:
calculator
15 31/40 to the nearest whole number
Answer:
16
Step-by-step explanation:
Because the number is closer to 16, it can be rounded off to that. 15 31/40 is the same as 15.78. When the decimal is over .50 it is rounded up to the next whole number, but when it is under .50 it si rounded down to the nearest whole number. ex. since this one is over the .50, it's rounded up, but if it were 15.36 then it would be rounded down to 15. hope this helps :D
Use a calculator to graph f(x) = 2x ^ 3 - 6x ^ 2 - 4x + 1 Which are the approximate x-values of the local maximum and local minimum rounded to the nearest tenth?
A) max ≈ -15.6 , min ≈ 1.6
B) max ≈ 1.6 , min ≈ -15.6
C) max ≈ 2.3 , min ≈ -0.3
D) max ≈ -0.3 , min ≈ 2.3
The approximate x-values for the local maximum and the local minimum are given as follows:
D) max ≈ -0.3 , min ≈ 2.3.
What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.Hence the critical points of the graphed function are given as follows:
Maximum: x = -0.3.Minimum: x = 2.3.More can be learned about relative minimums of a function at https://brainly.com/question/9839310
#SPJ1
CAN SOMEONE PLS HELP ME WITH BOTH OF THESE QUESTIONS
EXPLANATION IS NOT NEEDED
WILL MARK BRAINLIEST
The amount in the new checking account is 600 dollars
The operation (5 α 3) + (7 α 5) is 46.
How to find the amount in the checking account?She had 1000 dollars in her checking account. she had a loan of 800 dollars to pay.
After paying her loan form her checking account the balance of the loan reduce to half.
Therefore, she paid 800 / 2 = 400 dollars for her loan
Hence,
Her new checking account = 1000 - 400 = 600 dollars
How to find value of an operation?
a α b = ab - a + b
Therefore,
(5 α 3) + (7 α 5)
(5 α 3) = 5(3) - 5 + 3 = 13
(7 α 5) = 7(5) - 7 + 5 = 33
Therefore,
(5 α 3) + (7 α 5) = 13 + 33 = 46
Note: I can't use the at symbol because it is a swear word.
learn more on operation and checking account here: https://brainly.com/question/583664
#SPJ1
Kylie worked as an official for 45 soccer games last year. She made a graph of the number of games she worked during the first 6 months during the first 6 months of the year. How many more games did Kylie work during the first six months as shown on the graph than she did during the rest of the year?
Answer:
11 More Games.
(I did the quiz too)
Answer:
11
Step-by-step explanation:
I did this on my map test, it's right
Terrel has 8 nickels. Heather has twice as many nickels as Terrel. Heather spends 4 nickels to buy a pencil. Each nickel is worth 5 cents. Which expression shows how many cents Heather has left?
Answer:
12*5=x
Step-by-step explanation:
Which of the following is an equivalent form of the function f above in which the mininum value of f
appears as a constant or coefficient?
A) f(x) = x2-24
B) f(x) = x2+2x-24
C) f(x) = (x-1)2 -24
D) f(x) = (x-1)2 -25
Based on the function, an equivalent form of the function f above in which the minimum value of f appears as a constant or coefficient is f(x) = (x+1)^2 -25. (Option D)
The function is f(x) = (x + 6)(x – 4). Solving the function
f(x) = (x + 6)(x – 4)
= x (x – 4) + 6(x – 4)
= x^2 – 4x + 6x – 24
= x^2 + 2x – 24
= x^2 + 2x + 1– 25
= (x + 1)^2 – 25
When x = -1, the value of f(x) = (-1 + 1)^2 – 25 = -25
Hence, the equation for which the minimum value of f appears as a constant or coefficient is (x + 1)^2 – 25.
Note: The question is incomplete. The complete question probably is f(x) = (x + 6)(x – 4). Which of the following is an equivalent form of the function f above in which the minimum value of f appears as a constant or coefficient? A) f(x) = x^2-24 B) f(x) = x^2+2x-24 C) f(x) = (x-1)^2 -21 D) f(x) = (x+1)^2 -25
Learn more about Function:
https://brainly.com/question/4025726
#SPJ4
Which sequence shows the numbers in order from least to greatest?
A. -2.14<3.16227766017<2.8
B. 2.8<3.16227766017<2.14
C. 2.14<3.16227766017 <2.8
D. 2.14<2.8<3.16227766017
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.
They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:
< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?
A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.
The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.
To learn more about : sequence
https://brainly.com/question/7882626
#SPJ8
If
to DEF?
A 23
B. 16°
C. 32°
D. 58°
The calculated measure of the angle D is (c) 32 degrees
How to determine the measure of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangles ABC and DEF
The triangles are similar triangles
This means that the corresponding angles are equal
Given that
A = 32 degrees
And the corresponding angle is D
We have
D = 32 degrees
Hence, the measure of the angle is (c) 32 degrees
Read more about angles at
https://brainly.com/question/31898235
#SPJ1
Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
The equations to solve the length of the room is
a) y² - 5y = 750
b) 750 - y ( y - 5 ) = 0
c) ( y + 25 ) ( y - 30 ) = 0
Given data ,
Let the area of a rectangular room is 750 square feet.
Let the width of the room is 5 feet less than the length of the room
So , on simplifying , we get
w = l - 5
Area of rectangle = length x width
And , A = l x w
A = l ( l - 5 )
750 = y ( y - 5 )
Therefore , the equation is
a) y² - 5y = 750
b) 750 - y ( y - 5 ) = 0
On simplifying the quadratic equation , we get
c) ( y + 25 ) ( y - 30 ) = 0
Hence , the length of the rectangular room is solved
To learn more about area of rectangle click :
https://brainly.com/question/15225905
#SPJ1
The complete question is attached below :
Which equations can be used to solve for y, the length of the room? Select three options.
a) y(y + 5) = 750
b) y² – 5y = 750
c) 750 – y(y – 5) = 0
d) y(y – 5) + 750 = 0
e) (y + 25)(y – 30) = 0
Jeff is buying books at a used booksttore.He wants to approximate the total cost of his purchase before checking out
What is the surface area of a triangular prism
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
plane
Step-by-step explanation:
Answer:
D. Plane
Step-by-step explanation:
A plane extends in two dimensions. This figure is a plane. It is not a point, a segment or a ray.
Can someone help please
let's bear in mind that complex roots never come alone, their conjugate sister is always with her, so if we have the complex root of "i" or namely "0 + i", her conjugate is also coming along, or "0 - i", so we really have four roots, so
\(\begin{cases} x = 0+i &\implies x -i=0\\ x = 0-i &\implies x +i=0\\ x = \sqrt{2} &\implies x -\sqrt{2}=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = \stackrel{0}{y}}\hspace{5em}\stackrel{\textit{we are assuming that}}{a=1} \\\\\\ 1( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = y\implies ( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = y \\\\[-0.35em] ~\dotfill\)
\(\stackrel{ \textit{difference of squares} }{( x -i )( x +i )}\implies x^2 - i^2\implies x^2-(-1)\implies x^2+1 \\\\[-0.35em] ~\dotfill\\\\ (x^2+1)( x -\sqrt{2} )( x -3 )\implies (x^2+1)(x^2-3x-x\sqrt{2}+3\sqrt{2}) \\\\\\ (x^2+1)[x^2-x(3+\sqrt{2})+3\sqrt{2}] \\\\\\ x^4-x^3(3+\sqrt{2})+3x^2\sqrt{2}+x^2-x(3+\sqrt{2})+3\sqrt{2} \\\\\\ \boxed{x^4-x^3(3+\sqrt{2})+x^2(3\sqrt{2}+1)-x(3+\sqrt{2})+3\sqrt{2}~~ = ~~y}\)
749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 39 beats per minute, the mean of the listed pulse rates is x=76.0 beats per minute, and their standard deviation is s=13.8 beats per minute. a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 39 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 39 beats per minute significant
Answer:
a) The difference is of -37, that is, this pulse rate is 37 beats per minute below the mean.
b) 2.68 standard deviations below the mean.
c) Z = -2.68.
d) Z-score below -2, so a pulse rate of 39 beats per minute is significantly low.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females?
Difference between 39 and 76, so 39 - 76 = -37.
The difference is of -37, that is, this pulse rate is 37 beats per minute below the mean.
b. How many standard deviations is that [the difference found in part (a)]
Standard deviation of 13.8, so:
-37/13.8 = -2.68
So 2.68 standard deviations below the mean.
c. Convert the pulse rate of 39 beats per minutes to a z score.
2.68 standard deviations below the mean, so Z = -2.68.
d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 39 beats per minute significant?
Z-score below -2, so a pulse rate of 39 beats per minute is significantly low.
You and three friends order pizza for large drinks in a loaf of Chi's bread you split the cost evenly with your friends what order of operations would you use to find out how much each person would pay
Answer:
I believe it would be division.
Step-by-step explanation:
Sorry if its wrong, i havent done a question like this in a long time, please forgive me!
Graph g(x)=4cosx .
Use 3.14 for π .
The graph of the trigonometry function g(x) = 4 cos πx is plotted and attached,
How to make the graph of the functionThe graph is made by picking some x values say 0, 0.5, 1, 1.5, 2 .... and solve for the output y.
For x = 0, y = 4 cos π * 0 = 4
For x = 0.5, y = 4 cos π * 0.5 = 0
For x = 1, y = 4 cos π * 1 = -4
For x = 1.5, y = 4 cos π * 1.5 = 0
For x = 2, y = 4 cos π * 2 = 4
Table of value
x y
0 4
0.5 0
1 -4
1.5 0
2 4
The graph is plotted by tracing each x and y value and joining the intercepts to form a curve
It can be deduced that the amplitude of the graph is 4 and it completes a revolution in 2 units
Learn more about cosine graphs at:
https://brainly.com/question/28144659
#SPJ1
Find the VOLUME of the triangular prism.
The volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have a triangular prism shown in the picture with dimensions.
As we know, the volume of the triangular prism is given by:
V = bhl/2
h = √[2²- (2/2)²]
h = √(4-1)
h = √3 units
V = (2×√3×5)/2
V = 5√3 cubic units
Thus, the volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.
Learn more about the volume here:
https://brainly.com/question/16788902
#SPJ1
answer the question below, please
Answer:
AB = 42.30 m
Step-by-step explanation:
What we are asked to do is to simply find the length of AB.
Since both triangles are similar, therefore their corresponding sides would be proportional to each other.
Thus:
92/82.8 = 47/AB
Cross multiply
92*AB = 82.8*47
92*AB = 3,891.6
AB = 3,891.6/92
AB = 42.30 m(nearest hundredth)
I need the answer please. Hello
Answer:
~ 15 %
Step-by-step explanation:
116.4 - 98.3 = 18.1
18.1 / 17.5 = 1.034 SD ABOVE the mean
this is a z-score of .8485 meaning 84.85 % have a score LESS than 116.4 so 15.15 % have a score higher
5/ HELP ASAP PLEASE, PLLEAAASEE
Answer:
Top right
Step-by-step explanation:
Please please please help me
I really need to pass this I will give brainliest and a lot of points please just help me solve this correctly
The length of side AB is about 5.87 units.
How to find the side of a right triangle?The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.
Therefore, let's find the length AB in the right triangle.
Using trigonometric ratios,
cos 33 = adjacent / hypotenuse
Therefore,
Adjacent side = AB
hypotenuse side = 7 units
cos 33° = AB / 7
cross multiply
AB = 7 cos 33
AB = 7 × 0.83867056794
AB = 5.87069397562
AB = 5.87 units
learn more on right triangle here: https://brainly.com/question/30966657
#SPJ1
The perimeter of parallelogram ABCD is 46 inches. What
is DA?
Answer:
B. 4 inches
Step-by-step explanation:
I got 100% on the quiz on Edg 2020
Answer:
4 inch
Step-by-step explanation:
The table below gives the probability density of trees in a particular park. If a tree is selected at random, what is the probability that it is an elm or oak?
The probability of selecting an elm or oak tree is 0.38.
The probability of selecting an elm or oak tree is the sum of the probabilities of selecting an elm and selecting an oak:
P(elm or oak) = P(elm) + P(oak)
P(elm) = 0.04
P(Oak) =0.34
Plug in these values
= 0.04 + 0.34
= 0.38
Therefore, the probability of selecting an elm or oak tree is 0.38.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ1