The speed of the table tennis ball is 29.9303 m/s.
What is speed?The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is a scalar quantity and does not require any direction to represent it.
Fastest speed of the swimmer recorded = F =2.29 m/s
The fastest Speed of the table tennis ball been hit = b
According to the question: The speed of a table tennis ball has been hit about 13.07 times as fast as the speed for the fastest swimming.
The speed will be calculated as below:-
Speed = 13.07 x f
Speed = 13.07 x 2.29
Speed = 29.93 meter per second
Therefore, speed of the table tennis ball is 29.9303 m/s.
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. The table below shows the cost of making a long distance call based on the length of the call. Long Distance Rates Time (minutes) Cost 5 $0.55 6 $0.62 7 $0.69 8 $0.76 9 $0.83 10 $0.90 Refer to the above table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.
An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.
Given:
Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.
The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.
We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.
We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.
Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.
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Hello could you please help me with these questions? Question 12.
The general form of the equation of a straight line in the slope-intercept form is given to be:
\(y=mx+b\)where m is the slope of the line and b is the intercept on the y-axis, that is the y-value when x = 0.
To calculate the slope, we can use the formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)From the question provided, we have the points:
\(\begin{gathered} 1\Rightarrow(x_1,y_1)=(-1,-2) \\ 2\Rightarrow(x_2,y_2)=(3,4) \end{gathered}\)Using these values, we can calculate the slope to be:
\(m=\frac{4-(-2)}{3-(-1)}=\frac{4+2}{3+1}=\frac{6}{4}=\frac{3}{2}\)Hence, we have the equation of the line to be:
\(y=\frac{3}{2}x+b\)We currently do not have a value for b. We can find b, however, by substituting a point into the equation. Then we can solve for b. Using the second point, we have:
\(\begin{gathered} 2\Rightarrow(x,y)=(3,4) \\ \therefore \\ 4=\frac{3}{2}(3)+b \\ 4=\frac{9}{2}+b \\ b=4-\frac{9}{2} \\ b=-\frac{1}{2} \end{gathered}\)Therefore, the equation of the line is:
\(\begin{gathered} y=\frac{3}{2}x-\frac{1}{2} \\ or \\ y=1.5x-0.5 \end{gathered}\)Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
phillip plays mario kart every 10 days and wii sports every 14 days. when will be the first time he plays both games on the same day?
Answer:70
Step-by-step explanation:
LCM (Least Common Factor)
Just count by 10 and 14
10,20,30,40,50,60,70,80,90,100
14,28,42,56,70
Can someone help me with this
Answer:
1 / 216, or 0.00462...
Step-by-step explanation:
Someone please help! No link answer please :(
Answer:
55 degrees (a)
Step-by-step explanation:
complementary means they equal 90 degrees
so 90-35= 55 degrees
(PLEASE HELP!!!)Which shows the list of numbers in order from least to greatest?
Answer:
B
Step-by-step explanation:
hope this helps
Answer:
A
Step-by-step explanation:
-2 is the least because the two lines means the number inside will be positive.
this means that -4/5 will be 4/5. Then 1. Then 3.5. Finally, 4.2
Hope this helps you
barry has 1/3 of bag a candy left over from his party .of this candy ,1/3 of it is chocolate .how much of the total bag is chocolate?
Answer:
1/6
Step-by-step explanation:
if there is 1/3 bag of candy, 1/3 of 1/3 is 1/9
If y = (x2 + x + 1)(x3 – x – 1), then y’(2) =
35.
55.
90.
102.
Using product rule on the differential equation y = (x² + x + 1)(x³ - x - 1), the value of y'(2) = 118
Differential EquationA differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable) dy/dx = f(x) Here “x” is an independent variable and “y” is a dependent variable.
In the function given
y = (x² + x + 1)(x³ - x - 1)
Using product rule
dy / dx = U dv/dx + V du/dx
where;
U = x² + x + 1V = x³ - x - 1du / dx = 2x + 1
dv / dx = 3x² - 1
dy/dx = 5x⁴ + 4x³ - 4x - 2
y'(2) = dy/dx(2) = 5(2)⁴ + 4(2)³ - 4(2) - 2
y'(2) = 118
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Please help if you can
1) The lower limit of the confidence Interval is: 1489.77.
The upper limit of the confidence Interval is: 1530.23
2) The lower limit of the confidence Interval is: 1478.32
The upper limit of the confidence Interval is: 15411.68
How to find the confidence Interval?The formula to find the confidence interval is:
CI = x' ± z(σ/√n)
where:
CI is confidence interval
x' is sample mean
z is z-score at confidence level
σ is standard deviation
n is sample size
1) The parameters are:
σ = $234
x' = $1510
n = 362
z at 90% CL = 1.645
Thus:
CI = 1510 ± 1.645((234/√362)
CI = 1510 ± 20.23
CI = (1489.77, 1530.23)
2) The parameters are:
σ = $234
x' = $1510
n = 362
z at 99% CL = 2.576
Thus:
CI = 1510 ± 2.576((234/√362)
CI = 1510 ± 31.68
CI = (1478.32, 15411.68)
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Christie has $200 in her bank account. Every month, she deposits $20 into her account.
The equation of the line that models the amount of money, y, in her account x months from now is y = x .
Answer:
y = 20x + 200
Step-by-step explanation:
The 200 is the constant. It is only added once, but the monthly deposits are added at 20 every month.
After 1 month:
y = 20x + 200
y = 20(1) + 200
y = 20 + 200
y =220 money deposited.
After 2 months:
y = 20x + 200
y = 20(2) + 200
y = 40 + 200
y =240 money deposited.
After 3 months:
y = 20x + 200
y = 20(3) + 200
y = 60 + 200
y = 260 money deposited
And so on, and so on, and so on...
100 points + first decent answer gets brainliest
The mean of a distribution of selected theme park admission prices is $59 with a standard deviation of $3.99. The mean cost of a distribution of a specific home stereo system sold at many different stores is $1,499 with a standard deviation of $4.
Which distribution has the lower standard deviation?
Which distribution is more spread out? Explain.
Answer:
See explanation
Step-by-step explanation:
Selected theme park admission prices has the lower standard deviation.
Specific home stereo system's distribution is more spread out since the ratio between the standard deviation and the mean is greater compared to that of selected theme park admission prices.
specific home stereo system: 3.99/59=0.0676.
selected theme park admission prices: 4/1499=0.002668
0.0676>0.002668
Answer:
The theme park ahs the lower standard deviation
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Simplify the variable expression below as much as possible.
(4.5)x+ 3x + 2
Answer:
23x +2
Step-by-step explanation:
20x + 3x + 2 = 23x + 2, also close ur curtains ouch
Based on the information given, the value of the expression is 23x + 2.
From the information given, the expression that was given is (4.5)x+ 3x + 2. This simply means that one has to multiply the values in the bracket first and solve it. This will be:
= (4 × 5)x + 3x + 2
= 20x + 3x + 2
= 23x + 2
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(18x²+24x²+24x+5)÷(6ײ+2x)
Answer:
21x-114
Step-by-step explanation:
is this graph a minimum or a maximum pls help
The vertex of the graph is a maximum at (-2, 4)
Calculating if the vertex of the graph a maximum or a minimum?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a quadratic function
From the graph, we can see that the graph has a maximum value
This maximum value represents the vertex of the graph
And it is located at (-2, 4)
So, we have
Maximum = (-2, 4)
Hence, the maximum value of the function is (-2, 4)
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#4. **Which compound inequality is shown by the graph below? (2 points) (A) + (B) 0 x2 - orxs6 - sxs6 x 6 - 1 < x < 6 (C) (D) < x 1
from the given line, it is clear that the bold line is showing that the value of x
that is
X < -1/2 and x > 6
thus, the correct answer is option C
Find the x-intercept of the line 2x–4y= – 12.
The x-intercept of the given line having equation 2x–4y= -12 is -6
How to find x-intercept of a line?
An x-intercept is a point where the graph of a function or relation intersects with the x-axis of the coordinate system.
To find x-intercept of a line, put y = 0 in the given equation of line
According to the given question:
The equation of line is 2x - 4y = -12
Putting y = 0 in the above equation we get
2x - 4(0) = -12
2x = -12
x = -6
Therefore, x-intercept of the line 2x–4y= -12 is -6
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The table shown gives values of the function y=g(x) for selected values of x.
Answer: C
Explanation:
A is eliminated because of 3 and 24, 3^2 is 9 and 9 times 3 isnt 24
B is eliminated because of 1 and 6, 2 plus 3 is 5 not 6
C works for all the number sets
D is eliminated because of 1 and 6, again 3 plus 2 is 5 not 6
100 points + brainliest!
Answer: D = √2
(please respond if im wrong)
Step-by-step explanation:
The fold is made along BE. A folds onto A′.
A′B = AB =√2 ⇒ A′C = 1
(by Pythagoras)
ΔA′BC
is therefore a right-angled isosceles triangle.
⇒∠BA′C=45∘ ⇒∠EA′D=45∘
⇒ ED = A′D = √2−1
Which of the following equations describes the nth term for the sequence
The nth term of the sequence 4/5, 1/5, 1/20. 1/80..... is an = 4/5(1/4)^(n - 1)
How to determine the value of tthe nth term of the sequence?The definition of the function is given as
4/5, 1/5, 1/20. 1/80.....
The above definitions imply that we simply multiply 1/4 to the previous term to get the current term
Using the above as a guide, we have
First term, a = 4/5
Ratio, r = 1/4
So, we have the following equation
an = 4/5(1/4)^(n - 1)
Hence, the value of the nth term is an = 4/5(1/4)^(n - 1)
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The ESS Ravens bought pizza for $900 to sell at the football game. They kept 10 pizzas to feed the players after the game and sold the rest for $1040. There were 8 slices in each pizza. Their profit was 50 cents a slice.
a) How many pizzas were in the original order?
Answer: 45
Step-by-step explanation:
The total profit in all was \(1040-900=\$ 140\).
The total profit per pizza was \((0.50)(8)=\$4\).
This means they sold \(\frac{140}{4}=35\) pizzas.
Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.
what are two decimals that are equivalent to 2.200
Answer:
2.200 = 2.2 = 2.20 = 2.2000 = 2.20000...I could go on...
Step-by-step explanation:
(10 Points) Tanya is visiting New Orleans, and she wants to bring back T-shirts for all her friends. She’s
found T-shirts she likes for $5, $10, and $15. She has budgeted $40 for the gifts. make a systematic list
to answer the following questions.
(i) List how many ways she can spend exactly $30 if she is determined to buy one or more than one
$15 T-shirts?
(ii) List how many ways she can spend exactly $25.
Help its due in 1 hour plzzz!!!!!!! can you show your work to
Answer:
ok.
1. Tanya spends exactly $30.
She can spend $15.00 each for 2 t shirts and spend $30.00
15 x 2 = 30
She can buy one $15.00 t shirt, one $10.00 t shirt and one $5.00 t shirt for exactly $30.00.
15 + 10 + 5 = 30
She can buy one $15.00 t shirt, and three $5.00 t shirts for exactly $30.00
15 + 5 + 5 +5 = 30
2. To spend exactly $25.00, Tanya can spend it :
5 of the $5.00 t shirts
5 x 5 = 25
2 of the $10 t shirts and one of the $5 t shirts
10 + 10 + 5 = 25
1 of the $15 t shirts and one of the $10 t shirts
15 + 10 = 25
1 of the $15 t shirts and 2 of the $5 t shirts
15 + 5 + 5 = 25
Multiply.
8×35
Enter your answer as a mixed number in simplest form by filling in the boxes
PLS HELP
Answer:
280
Step-by-step explanation:
Answer:
8×35=280.
This is the best I can give to you
Can someone explain to me the Laws of Sine and Cosine. Will mark brainliest.
Answer:
here you are
i hope it helps! :)
Step-by-step explanation:
The perimeter of a rectangle is 48 ft. If the length is thrice its width, find the dimensions of the rectangle.
Answer:
here you go
Step-by-step explanation:
At an educational institution, the cost of room and board includes
Answer:
what are you trying to ask
Step-by-step explanation:
Answer:
A: housing and meal
Step-by-step explanation:
Edg 2021
took the test
How are the two angles related?
The two angles are related in that they are supplementary angles
Supplementary angles would add tuo to 180 degrees according to the angle Theorem.
Adding the two given angles :
52+128 = 180These angles are supplementary
The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.
Hence, the angles are related as they are supplementary angles .
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Marisol buys 3 notebooks that each cost the same amount and 1 calculator that costs $9. The total cost is $21. How much does each notebook cost?
Answer: 4 dollars for each notebook
Step-by-step explanation:
21-9= 12
12/3=4
each notebooks costs 4 dollars
Answer:
$4
Step-by-step explanation: