Answer:
D
Step-by-step explanation:
A State lottery Sells one and half
million tickets of which 300 are Prize winners. What is the Propability of getting a prize by buying Just One ticket?
Answer:
0.0002
Step-by-step explanation:
1.5 million = 1 500 000
P(winning) = 300 / (1 500 000)
= 3/(15 000)
= 1/5000
0.0002
1. In the following scenario, identify which stretching technique is being emphasized. Choose from ballistic, static, PNF, or dynamic stretching techniques. A tennis player runs up to the net and shuffles back to the baseline five times. What type of stretch is this? 1. In the following scenario, identify which stretching technique is being emphasized. Choose from ballistic, static, PNF, or dynamic stretching techniques. A runner does a quadriceps stretch, gastrocnemius stretch, and a runner's stretch for 30 seconds on each side of the body after a run. What type of stretch is this?
1. The stretching technique emphasized in the scenario of a tennis player running up to the net and shuffling back to the baseline is dynamic stretching.
2. The stretching technique emphasized in the scenario of a runner performing various stretches for 30 seconds on each side after a run is static stretching.
1. The stretching technique emphasized in the scenario of a tennis player running up to the net and shuffling back to the baseline five times is dynamic stretching. Dynamic stretching involves performing controlled movements that mimic the motions of the activity or sport being performed. In this case, the tennis player is incorporating dynamic movements to warm up and prepare their muscles for the specific demands of playing tennis.
2. The stretching technique emphasized in the scenario of a runner performing a quadriceps stretch, gastrocnemius stretch, and a runner's stretch for 30 seconds on each side of the body after a run is static stretching. Static stretching involves holding a stretch in a stationary position for a certain period of time. In this case, the runner is holding each stretch for 30 seconds, which is a characteristic of static stretching. Static stretching is commonly used to improve flexibility and promote muscle relaxation after exercise.
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In the given scenario, the type of stretching technique being emphasized is Dynamic Stretching.
Dynamic stretching is a type of stretching technique that involves active movements to improve flexibility and range of motion. It is typically performed as part of a warm-up routine before engaging in physical activity. Unlike static stretching, which involves holding a stretch for an extended period, dynamic stretching incorporates dynamic movements that mimic the actions performed during the activity. This helps to warm up the muscles, increase blood flow, and prepare the body for the upcoming exercise or sports activity.
In the given scenario, the type of stretching technique being emphasized is Static Stretching.
Static stretching, on the other hand, is a stretching method where a stretch is held in a fixed position for a prolonged period of time, typically ranging from 15 to 60 seconds. This technique is often used to improve flexibility and increase the length of muscles and tendons. Static stretching is commonly performed during the cooldown phase after exercise or physical activity. It helps to relax the muscles, reduce muscle soreness, and improve overall flexibility and joint mobility.
Both dynamic stretching and static stretching have their benefits and serve different purposes in a fitness or sports routine. Dynamic stretching is effective for warming up the body and preparing it for physical activity, while static stretching is useful for improving flexibility and promoting relaxation in the muscles. It's important to choose the appropriate stretching technique based on your specific goals and the context of your exercise or sports regimen.
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f(-3) if f(x) = 4x^2 + 7x
Answer:
86x
Step-by-step explanation:
I hope this helps you
let's write -3 for x
f(-3)=4.(-3)^2+7.(-3)
f(-3)=4.9-21
f(-3)=36-21
f(-3)=15
Write the equation of the line that has the indicated slope and y-intercep
Slope = 2; y-intercept is (0,5)
Hurry I need this nowwww
Answer:
y = 2x + 5
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = 2x + b Insert Slope
Step 3:
5 = 2 ( 0 ) + b Input x and y values
Step 4:
5 = b Multiply
Answer:
y = 2x + 5
Hope This Helps :)
Given f (x) = 1/x+11, find the average rate of change of f (x) on the interval [3, 3+h]. Your answer will be an expression involving h.
The average rate of change of the function in the interval is of:
\(A = -\frac{1}{14(14 + h)}\)
What is the average rate of change?The average rate of change of a function f(x) over an interval [a,b] is given by:
\(A = \frac{f(b) - f(a)}{b - a}\)
In this problem:
The interval is [3, 3 + h], hence \(a = 3, b = 3 + h\).\(f(3) = \frac{1}{3 + 11} = \frac{1}{14}\)\(f(3 + h) = \frac{1}{3 + h + 11} = \frac{1}{14 + h}\)Then:
\(f(b) - f(a) = \frac{1}{14 + h} - \frac{1}{14} = \frac{14 - 14 - h}{14(14 + h)} = -\frac{h}{14(14 + h)}\)
\(A = \frac{-\frac{h}{14(14 + h)}}{3 + h - 3} = -\frac{-\frac{h}{14(14 + h)}}{h} = -\frac{1}{14(14 + h)}\)
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ZA and ZB are sup plementary. If
55°, find
O 180°
O 55
O 35
O 125
Supplementary angles has sum 180°
\(\\ \sf\longmapsto <A+<B=180\)
\(\\ \sf\longmapsto 55+<B=180\)
\(\\ \sf\longmapsto <B=180-55\)
\(\\ \sf\longmapsto <B=125\)
Answer:
125°
Step-by-step explanation:
We know that the sum of supplementary angles is 180°
=> 55 + ang. B = 180°
=> ang. B = 180-55 = 125°
what is the measure of H?
Check the picture below.
Find the inverse of y=5^x-9
(the -9 is not in the power)
Step-by-step explanation:
y = 5^x -9
5^x = y + 9
x = ^5 log (y+9)
f~'(x) = ^5 log (x+9)
please help me i need it
Answer:
It is 9
Step-by-step explanation:
Answer:
ur answer is 4
Step-by-step explanation:
the null hypothesis is stated in terms of the population, even though the data come from a sample. (True or False)
True. The null hypothesis (denoted as H0) is a statement about a population parameter, typically a population mean or proportion, and it is formulated based on the assumption that there is no effect, relationship, or difference in the population.
However, in statistical hypothesis testing, data is often collected from a sample, not the entire population, due to practical limitations.
The sample data is then used to assess the evidence against the null hypothesis.
The null hypothesis is always stated in terms of the population, even though the data being analyzed comes from a sample.
what is 5280 divided by 60
Answer:
88
Step-by-step explanation:
i used a calculator :)
Use the two-way frequency table. Do more students prefer apples or grapes?
A.More students prefer apples because 32 students preferred apples, compared to 26 students who preferred grapes.
B.More students prefer apples because 3 students preferred apples, compared to 2 students who preferred grapes.
C.More students prefer apples because 75 students preferred apples, compared to 7 students who preferred grapes.
D.More students prefer apples because 29 students preferred apples, compared to 24 students who preferred grapes.
Need help
Answer:
The Answer Is D
Step-by-step explanation:
use the graph to estimate the solution to the system of equations shown.
A. x=5 1/2, y= 3 1/4
B. x= -3 1/2, y= -5 1/4
C. ×= 3 1/2, y= 5 1/4
D. x= -5 1/2, y= -3 1/4
==============================================================
Explanation:
The solution occurs where the two lines intersect. From this intersection point, draw a vertical line upward until you reach the x axis. We arrive somewhere between -5 and -6. A good estimate is to say that we're at the midpoint, so x = -5 & 1/2 is one possible estimate
Since only choice D has this x value, this must mean choice D is the answer. The y coordinate of y = -3 & 1/4 seems to fit as well since we can draw a horizontal line from the point of intersection to the y axis, and arrive somewhere just a little below -3.
A farmer has 100 m of fencing to enclose a rectangular pen. Which quadratic equation gives the area (A) of the pen, given its width (w)?A(w) = w2 – 50wA(w) = w2 – 100wA(w) = 50w – w2A(w) = 100w – w2
The area of the rectangular pen is represented by the quadratic equation \(A(w) = 50w - w^{2}\).
Let w be the width of rectangular pen.
We have been given that a farmer has 100 m of fencing to enclose a rectangular pen. This means that perimeter of pen is 100 meter.
Since the perimeter is 2 times the length and width of rectangle.
Perimeter of a rectangle = 2 (Width + Length)
Upon substituting our given values in above formula we will get,
\(100 = 2(w + length)\\50 = w + length\\50-w = Length\)
Area of a rectangle = Width x Length
\(Area of a rectangle = w (50-w)\\= 50w - w^{2}\)
Let us represent area in terms of width of rectangle as:
\(A(w) = 50w - w^{2}\)
Therefore, the area of the rectangular pen is represented by the quadratic equation \(A(w) = 50w - w^{2}\).
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A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t2 + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s. Which solution can be eliminated and why?
A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.
the solution to be eliminated is -0.2s this is because time do not have negative values
What is a quadratic equation?ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.
It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.
Considering the given function, the answer is both real one is negative the other is positive.
The solution in this case represents time, and time of negative value do not apply in real life
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PLZ HELP It’s due soon
Answer:
30
Step-by-step explanation:
Answer:
Oh thats easy its $30
Step-by-step explanation:
so for 2 icecreams it costs $6
so if u divide them it would become 1 icecream for $3 so
10 times 3 will be $30
Find the volume of each cone. Round your answer to two decimal places.
Answer:
ABBBB
Step-by-step explanation:
Can someone help me pleasee!! question 10 help a girl out :)
Answer:
52
Step-by-step explanation:
just finished taking it
Answer:
no
Step-by-step explanation:
The volume of a right rectangular prism is 573.3 cm³. The length of the right rectangular prism is 7.35 cm and the height is 16.25 cm.
What is the width of the right rectangular prism?
Answer:
4.8 cm
Step-by-step explanation:
573.3 = w(7.35 x 16.25)
(7.35 x 16.25) = 118.625
573.3/118.625 = 4.832
4.832 rounded to the nearest tenth = 4.8
So, your answer will be 4.8 cm.
Matrix A is 3x5, matrix b is 5x3, and matrix c is 3x1. If I am
to multiply all of them together, what would be the dimensions of
this matrix. Can you explain why as well.
When multiplying matrices A, B, and C together, the resulting matrix will have dimensions 3x1.
To multiply matrices, the number of columns in the first matrix must be equal to the number of rows in the second matrix. In this case, matrix A is 3x5, matrix B is 5x3, and matrix C is 3x1.
When we multiply matrix A (3x5) with matrix B (5x3), the resulting matrix will have dimensions equal to the number of rows in matrix A and the number of columns in matrix B. Therefore, the resulting matrix will be 3x3.
Next, if we want to multiply the resulting 3x3 matrix with matrix C (3x1), the number of columns in the matrix obtained from the previous step should be equal to the number of rows in matrix C.
Since the matrix obtained from the previous step is 3x3 and matrix C is 3x1, the resulting matrix will have dimensions equal to the number of rows in the 3x3 matrix (which is 3) and the number of columns in matrix C (which is 1). Therefore, the final matrix will be 3x1.
In summary, when multiplying matrices A, B, and C together, the resulting matrix will have dimensions 3x1. This is because the dimensions of the intermediate matrix obtained from multiplying A and B are 3x3, and when multiplied with C, the resulting matrix has dimensions 3x1.
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Which graph represents the linear equation y = −5x − 3?
a graph of a line that passes through the points negative 4 comma 0 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 0 and 0 comma negative 5
a graph of a line that passes through the points negative 1 comma 4 and 0 comma negative 2
Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.
Answer:
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation:
The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is of the way from A to B?
A (1,-0.5)
B. (6, 1)
C. (10,7)
D. (3,2.5)
Answer:
To find the point that is halfway between A(4, -2) and B(12, 10), we can find the average of the x-coordinates and the average of the y-coordinates.
average x-coordinate = (4 + 12)/2 = 8 average y-coordinate = (-2 + 10)/2 = 4
Therefore, the point that is halfway between A and B has the coordinates (8, 4), which is answer choice B.
Step-by-step explanation:
Katherine bought 12 bananas for $2. What was the cost of the bananas in bananas
per dollar?
Solve the following recurrence relations using the initial condition an = 1.
an = an/2 ^+ d and an = 2an/2 ^+ d
The solution to the recurrence relation an = 2(an/2) + d with an = 1 is simply an = 1.
To solve the given recurrence relations, we can use a technique called substitution. Let's solve each relation separately.
Recurrence relation: an = (an/2) + d
To solve this relation, we need to express the term an in terms of smaller terms until we reach the base case. Let's substitute an/2 in place of an:
an = (an/2) + d
= [(an/4) + d] + d
= (an/4) + 2d
Continuing this process, we can express an in terms of smaller terms:
an = (an/8) + 3d
= (an/16) + 4d
In general, we can write:
an = (an/2^k) + kd
Now, let's find the value of k when an = 1 (initial condition):
1 = \((1/2^{k})\)+ kd
Rearranging the equation:
1 - kd = \(1/2^{k}\)
Multiplying both sides by \(2^{k}\):
\(2^{k} - k2^{k} d = 1\)
This equation cannot be solved analytically in general. However, we can approximate the value of k using numerical methods or by using software tools such as Wolfram Alpha or numerical solvers in programming languages.
Once we have the value of k, we can substitute it back into the general formula to find the nth term, an, for any given n.
Recurrence relation: an = 2(an/2) + d
Using the same substitution technique as above, we can express an in terms of smaller terms:
an = 2(an/2) + d
= 2[2(an/4) + d] + d
= 4(an/4) + 3d
Continuing this process, we have:
an = 2^k (an/2^k) + kd
Again, to find the value of k when an = 1:
\(1 = 2^{k} (1/2^{k}) + kd\)
1 = 1 + kd
Since kd = 0 for k = 0 (initial condition), we have k = 0.
Therefore, the solution to the recurrence relation an = 2(an/2) + d with an = 1 is simply an = 1.
Please note that if the value of d is non-zero, the recurrence relation may have different solutions or properties.
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Solve 8x + 20 < -12.
A. x < -1
B. x < -4
C. x> 1
D. x>-4
Answer:
Answer B. x < -4
Step-by-step explanation:
\(8x+20 < -12\\\)
Subtract 20 on both sides
\(8x < -32\)
Divide by 8
\(x < -4\)
OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-
AND CAN ANYONE PLS DRAW ME THE ANSWERS I CANT UNDERSTAND ANYTHING PLS I BEG U ILL GIVE U BRAINLEST
Answer:
The 2/5th’s bucket is the answer to question one.
for the second one, draw a square or rectangle and divide one of them by 5 (draw 4 lines in it) and fill in two of those lines.
the second fraction, draw another rectangle and draw 3 lines on the inside of it, filling in 3. (you’re creating a visual representation of the fractions. you can also look up ‘3/4 picture’ and ‘2/5 picture’ and copy off the internet.
Step-by-step explanation:
Which expression has the greatest value?
A.
5·10^4 + 8·10^20
B.
5·10^4 – 8·10^20
C.
5·10^4 · 8·10^20
D.
5·10^4 ÷ 8·10^20
Part 2
Which expression has the least value?
A.
5·10^4 + 8·10^20
B.
5·10^4 – 8·10^20
C.
5·10^4 · 8·10^20
D.
5·10^4 ÷ 8·10^20
Patrick is excited to attend his son’s soccer game tomorrow
evening, but he also needs to ensure his daughter arrives at her
coding class on time. Patrick is debating whether taking the train
or his
Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.
On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.
If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.
Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.
Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.
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Then Jorge does inventory on the drinks on average customers consume 22.75 L of lemonade per hour the restaurant is open on Sunday Jorge checks the giant lemonade machine at the start of the weekend there were 346.65 L of lemonade in the machine now there are only 5.4 L left based on this for how many hours was the restaurant open this weekend?
Select the correct answer.
The members of the Malone family have been reading fiction and nonfiction books over the summer. So far in June and July, they have read books both in paper copies and electronically, as shown in the given tables.
June
Paper Digital
Fiction 7 1
Nonfiction 2 6
July
Paper Digital
Fiction 4 3
Nonfiction 6 1
Which matrix equation could the Malones use to show the total books they’ve read of each different type so far this summer?
The matrix equation that could show the total books is \(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)
How to determine the matrix equation?The given parameters are the two-way tables attached to the question.
From the tables, we have the following matrices
\(June = \left[\begin{array}{cc}7&1\\2&6\end{array}\right]\)
\(July = \left[\begin{array}{cc}4&3\\6&1\end{array}\right]\)
The sum of these matrices is represented as:
June + July = Total
So, we have:
\(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right]\)
Add the elements at corresponding positions
\(\left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)
Hence, the matrix equation is \(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)
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