The largest possible number of people attending the match is 31,249, and the smallest possible number is 31,100.
To determine the largest and smallest possible number of people attending the football match, given that the figure is stated as 31,200 with 3 significant figures, we need to consider the range of values that can be represented within that significant figures constraint.
For a number to be stated with 3 significant figures, the last significant figure is uncertain and can be either rounded up or down.
To find the largest and smallest possible numbers, we'll consider the cases where the last significant figure is rounded up and rounded down.
Rounding up:
If we round up the last significant figure, the possible range of values is from 31,150 to 31,249.
So the largest possible number of people attending the match would be 31,249.
Rounding down:
If we round down the last significant figure, the possible range of values is from 31,100 to 31,199.
So the smallest possible number of people attending the match would be 31,100.
Therefore, the largest possible number of people attending the match is 31,249, and the smallest possible number is 31,100.
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The basic rate pay is K8.20. If the overtime is paid at time-and-a-quarter, what is the overtime rate of pay?
The overtime rate of pay is K10.25.
The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.
To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.
By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.
Therefore, the overtime rate of pay is K10.25.
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If you have a quadratic equation in standard form and it has values of a=4, b = -8 and c = -60, what would the equation look like if you factored it out completely
The quadratic equation so formed will be \(x^{2}\) - 2x - 15 = 0.
What is a quadratic equation?
Any algebraic equation that can be expressed in standard form as where x represents an unknown value and where a, b, and c represent known values, where a 0 is a quadratic equation.
We know that the standard form of a quadratic equation is represented as: a\(x^{2}\) + bx + c = 0.
Here, we are given a = 4, b = -8 and c = -60.
On substituting these values, we get
⇒ a\(x^{2}\) + bx + c = 0
⇒ 4\(x^{2}\) - 8x - 60 = 0
On dividing both sides by 4, we get
⇒ \(x^{2}\) - 2x - 15 = 0
Hence, the quadratic equation so formed will be \(x^{2}\) - 2x - 15 = 0.
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NO LINKS!! URGENT HELP PLEASE!!
Using the information given in each diagram below, decide if any triangles are congruent, similar but not congruent, or similar. If you claim the triangles are congruent or similar, create a flowchart justifying your answer. Part 1
Please help me with #22 and 24
Answer:
22. Congruent traingle
24. Similar traingle
We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.
Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:
Properties of the similar triangle:
Corresponding angles are congruent: The corresponding angles of similar triangles are congruent. This means that if we label the corresponding angles of two similar triangles as A, B, and C and A', B', and C', respectively, then angle A is congruent to angle A', angle B is congruent to angle B', and angle C is congruent to angle C'.Corresponding sides are proportional: The corresponding sides of similar triangles are proportional. This means that if we label the corresponding sides of two similar triangles as a, b, and c and a', b', and c', respectively, then a:b::a':b' and b:c::b':c'.Ratios of corresponding sides are equal: The ratios of the corresponding sides of similar triangles are equal. This means that a/b = a'/b' and b/c = b'/c'.Perimeters and areas are proportional: The perimeters of similar triangles are proportional to the ratios of their corresponding sides, and the areas are proportional to the ratios of their corresponding sides squared. For example, if the ratio of the corresponding sides of two similar triangles is 2:3, then the ratio of their perimeters is also 2:3, and the ratio of their areas is 4:9.Height and base are proportional: The height of similar triangles is proportional to the ratios of their corresponding sides. This means that if two similar triangles have heights h and h', respectively, and corresponding sides a and a', then h/h' = a/a'. Similarly, if the triangles have bases b and b', then the ratio of their heights is also b/b'.Properties of the Congruent Triangle:
Corresponding sides and angles are congruent: In congruent triangles, corresponding sides and angles are congruent. This means that if we label the corresponding angles of two congruent triangles as A, B, and C and A', B', and C', respectively, then angle A is congruent to angle A', angle B is congruent to angle B', angle C is congruent to angle C', and side AB is congruent to side A'B', side AC is congruent to side A'C', and side BC is congruent to side B'C'.Congruent triangles have equal perimeters: Congruent triangles have the same size, so their perimeters are equal.Congruent triangles have equal areas: Congruent triangles have the same size, so their areas are equal.The sum of interior angles is always 180 degrees: The sum of the three interior angles of a triangle is always 180 degrees, regardless of whether the triangle is congruent or similar.The altitude, median, and angle bisector of a triangle are also congruent: In congruent triangles, the altitude, median, and angle bisector of one triangle are congruent to the corresponding altitude, median, and angle bisector of the other triangle.Given f (x) = {(5 – x)? what is the value of f(11)?
Answer:
it would be 9
Step-by-step explanation
What is the perimeter of the woods, in miles? Round
you
answer to the nearest tenth.
The perimeter of the woods is 26 miles if each grid represents one mile in the figure.
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We know the perimeter of the rectangle = 2(length + width)
As we can see closely in the figure the perimeter of the wood is actually a perimeter of a rectangle if we shift vertical and horizontal lines to make it a complete rectangle.
Let's suppose each grid is expressing one mile.
So the length of the rectangle = 9 miles
The width of the rectangle = 4 miles
The perimeter of the woods = 2(9+4) = 26 miles
Thus, the perimeter of the woods is 26 miles if each grid represents one mile in the figure.
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1) Calculate ocean depth for the following sounding times:
6 seconds:______m
2.5 seconds:_____m
2) Consider a wave the following properties: wavelength = 10 meters and period = 2 seconds: (answer the following)
At what depth will the wave begin to break?
What is the celerity of the wave?
What is the wave's frequency?
Answer:
Step-by-step explanation:
To calculate ocean depth based on sounding times, you can use the equation:
depth = (sound velocity x time) / 2, where sound velocity in seawater is approximately 1500 meters per second.
For a sounding time of 6 seconds, the depth would be:
depth = (1500 m/s x 6 s) / 2 = 4500 / 2 = 2250 m
For a sounding time of 2.5 seconds, the depth would be:
depth = (1500 m/s x 2.5 s) / 2 = 3750 / 2 = 1875 m
So, the depths would be:
6 seconds: 2250 m
2.5 seconds: 1875 m
For the given wave properties,
At what depth will the wave begin to break?
The depth at which a wave begins to break depends on a number of factors, including the wave height, wave period, water depth, and water temperature. As a rough estimate, waves typically begin to break when their height is 1/7th of the water depth. For deep water waves with a height of 0.5 meters, this depth would be approximately 3.5 meters. However, for the exact depth at which a wave will begin to break, more detailed information would be required.
What is the celerity of the wave?
The celerity (also known as phase velocity) of a wave is given by the formula:
celerity = wavelength / period.
For the given wave, the celerity would be:
celerity = 10 m / 2 s = 5 m/s
What is the wave's frequency?
The frequency of a wave is given by the formula:
frequency = 1 / period.
For the given wave, the frequency would be:
frequency = 1 / 2 s = 0.5 Hz
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
QUESTION 1
1.1
1.1.1 Wiite 2 368 000 in words
1.1.2
Round the following number 864 345,537
1.1.2.1 to the nearest thousand
1.1.2.2 to two decimal places
plz help me im struggling hard
Answer:
0.20 × 65 is what you would do for the second
Step-by-step explanation:
btw listen to yungblud
Note that the cost for the rent is a function of the amount of the miles you drove. Let's call that \(C(m)\).
Also note that the amount you pay will linearly increase, in other words, the increase in cost will always be the same for each mile. This tells us that our function is indeed a line, a first order polynomial of the form \(C(m) = am+b\)
What would happen if you were to rent a truck and not drive it at all? You would pay only the one-time fee.
Therefore, \(C(0)=55\)
So, \(C(m) = am + 50\)
The cost will increase by $0.20 for each mile, wich tells us that \(a=0.20\)
Finally, our expression is \(\boxed{C(m) = 0.2m+55}\)
If we want to know how much would you pay if you drove 65 miles, we want to know what \(C(65)\) is.
By plugging \(m=65\) in the expression, we get
\(C(65) =68\)
So you would pay $68
can someone please help me I posted this multiple times but no one answers pls help me quick I really need help I will give brainliest
Step-by-step explanation:
Given:
Our initial temperature is 88.6
It lowers every minute 2 degree . We want it to stay greater 60.5.
So our inequality is
\(88.6 - 2m > 60.5\)
Why?
The left side is in a linear equation form because we have a initial temperature and then it decreases constantly every period of time. Using that info, that is the same as a decreasing linear function.
We put greater than because it says stay above.
So know we solve for m.
\(88.6 - 2m > 60.5\)
\( - 2m > - 28.1\)
\(m <14.05\)
Remeber when dividng by a negative the sign flips. So
m<14.05
Which property justifies the statement below? X(y+5)=xy+5x
Erika's toy is valued at €450. Its value increased by 10% then decreases by 10% the year after. What is the value of Erika's toy after these two changes?
Answer:
€445.50-------------------------
Initial value of the toy is €450.
After 10% increase the value is:
€450 + 10% = €450*1.1 = €495After further 10% decrease the value becomes:
€495 - 10% = €495*0.9 = €445.50The final value of the toy is €445.50.
Customary American Units of Weight
1 pound = 16 ounces
1 ton = 2,000 pounds or 32,000 ounces
Convert:
3 tons 600 ounces =
ounces
Answer:
3+78=81
Step-by-step explanation:
2+2
The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y ≤ −2x + 10 y > 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 A B J H
The points which represents a the solution are: A, C, D and K
What are coordinates?
Coordinates can be defined as the ordered pairs in which it is used to locate any points in 2D.
The given inequalities: y ≤ −2x + 10 & y > 1/(2x − 2)
The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),
F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).
The attached figure represents the graph of the given inequalities.
The shaded area represents the solution of the inequalities.
So, the points lies in the shaded area represents the solution of the inequalities.
So, points A, C, D and K are a solution to the system of inequalities.
Note only if
If the given inequalities: y ≤ −2x + 10 & y > (1/2x) - 2
It will be the same solution.
Hence, The points A, C, D and K are a solution to the system of inequalities.
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Which values of a b and c correctly represent the answer in simplest form 3 1/4 divided by 2 3/8 equals a b/c. ( PLEASE HURYYYYY)
Answer:
Step-by-step explanation:
1. Put the words into math
3 3 1/4 divided by 2 3/8 equals a b/c.= 3 1/4/2 3/8
3 1/4/2 3/8=
1 7/19
2. Answer: 1 7/19
Plz help me thanks so muchhhhh
Hi there.
The answer is (-2,7). The second choice.
Explanation:
We can use the graph method or the solving method.
For the graph method, find where both graphs intercept and that is x = - 2 y = 7.
But if you don't use the graph method. We can solve the equation.
\(y = 0.5x+ 8 \\ y = \frac{5}{10} x + 8 \\ y = \frac{1}{2} x + 8\)
Convert the expressions in simplified form.
Then combine both equations.
\( \frac{1}{2}x + 8 = 5 - x\)
Because there is the denominator. We get rid of it.
Multiply the whole equation by 2.
\( \frac{1}{2} x(2) + 8(2) = 5(2) - x(2) \\ x + 16 = 10 - 2x \\ 3x = 10 - 16 \\ 3x = - 6 \\ x = - 2\)
Since it is the two variables linear equations, we need to find y-value too.
Substitute x = -2 in any given equations.
I will substitute x = -2 in y = 5-x
\(y = 5 - x \\ \)
Substitute x = -2 in the equation.
\(y = 5 - ( - 2) \\ y = 5 + 2 \\ y = 7\)
Thus, the answer is x = -2, y = 7
Or
(-2,7)
Given that f(x)= x^2+4, evaluate f(-2)
Answer:
f=-x^2/2-2
Step-by-step explanation:
true/false.
____1.When the non-Standard unit used is small few unit's are
needed to fill a container when the non-standard the non-standard units used is bigger more units are needed to fill the container.
____2.Objects with shape can have the same volume.
____3. To find the volume of rectangular prism multiply the length,width and height.
_____4. Volume is measured in square unit's.
_____5. the amount of space inside an object is called the volume of the object.
____6. The volume of a rectangular prism is equal to the product of its length, width, and height V = 1xwxh cubic units.
____7. Standard units give a consistant and accurate measure of a container.
____8. Non-Standard units cannot be used to measure volume.
____9. Volume is measured in cubic units, such as cubic centimeters.
1. It is false that when non-Standard unit used is small few unit's are
needed .
2. Objects with different shapes can have the same volume. True
3. Length, width and height and multiplied to find volume of a rectangular prism. True
4. It is false that volume is measured in square unit.
5. It is true that Volume is a measure of the amount of space inside an object.
6. The formula for volume of a rectangular prism is V = l × w × h. True
7. It is true that Standard units give a consistent and accurate measure of a container.
8. It is false that Non-Standard units cannot be used to measure volume.
9. Volume is measured in cubic units. True
What is volume of an object?Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.
Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).
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plssss i need help rn
Answer:
3
Step-by-step explanation:
(x₁ , y₁) = (-1 , -2) & (x₂ , y₂) = (3 , 10)
\(Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
\(= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4\)
m = 4
y - y₁ = m (x - x₁)
y - [-2] = 4(x - [-1])
y + 2 = 4(x + 1)
y + 2 = 4x + 4
y = 4x + 4 - 2
y = 4x + 2
An elevator descends into mine shaft at the rate of 6m/min. If the descend starts from 10m above the ground level , how long will it take to reach the shaft which is 350m below the ground level?
Answer: Hi!
So first, I'm going to convert "350 below ground level" to -350, as this is what "below ground level" represents.
Now, we should find the total distance traveled. Take the absolute value of -350 (350) and add it to 10, the metres above ground level. This is 360.
We already know the rate of travel; 6m/min. All we have to do now is divide the total distance (360) by the rate of travel (6)!
360 ÷ 6 = 60
So, it took 60 minutes, or one hour, for the elevator to travel down the shaft!
Hope this helps!
6. Solve for y. 12y - 10 = 14y
02
0 5
O-5
O-2
Answer:
can you pls clear your questions?
SOMEONE PLEASE GIVE ME THE CORRECT ANSWER AND ILL MARK BRAINLY
Answer:
The answer is 60 minutes.
Step-by-step explanation:
12 * 5 = 60
15 * 4 = 60
10 * 6 = 60
Does anyone know the answer?
Answer:
a = √5
b ∈ (−∞,∞)
Step-by-step explanation:
(7 + 3√5)/(3 + √5) - (7 - 3√5)/(3 - √5) = a + b√5
⇔ (7 + 3√5)(3 - √5)/(3 + √5)(3 -√5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5
⇔ (7 + 3√5)(3 - √5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5
⇔ 4√5/4 = a + b√5
⇔ √5 = a + b√5
⇔ b = (5 - a√5)/5
Replace b with (5 - a√5)/5
⇒ a + (5 - a√5)/5 = √5
⇔ a × 5 + (5 - a√5)(5)/5 = √5 × 5
⇔ a × 5 + 5 - a√5 = 5√5
⇔ a × 5 - √5 × a = 5√5 - 5
⇔ a(5 - √5) = 5√5 - 5
⇔ a = √5
After reading the directions to paint, on the paint drum, the information
indicated two coats of paint is required when using the 5 litre paint
and one coat with the 20 litre drum. With both paints 1 litre of paint
covers 9 m2
1.3.1 There are 28 rooms to be painted. Show with calculations which
will be the cheaper paint to buy.
(1
Step-by-step explanation:
jnx-avkj-uup p.l.z join
Evaluating Linear Piecewise Functions
Consider the function:
f(x) =
7/2+ 2x, x≤-1
-5+3x/2, -1
1/4x, x≥3
< -5_-4_-3_-2_-1_0_1_2_3_4_5 >
What are these values?
f(-3) =[-19/2]ᵒʳ[-5/2]ᵒʳ[-3/4]ᵒʳ[5/2]
f(-1) =[-13/2]ᵒʳ[-3/2]ᵒʳ[-1/4]ᵒʳ[-3/2]
f(3) =[-7/4]ᵒʳ[-1/2]ᵒʳ[3/4]ᵒʳ[19/2]
PLEASE HELP ME ON A SERIOUS TIME CRUNCH!!
On Tuesday, Karen finished all her chores in 3/4 of an hour. On Wednesday, she finished her chores in 5/12 of an hour. How much faster was Karen on Wednesday than Tuesday?
suppose that there are 5 children in a gymnastics class. one day, they count the number of steps each persontakes while walking on their hands until they lose balance and come down. the results are: ashley (20),brittany (8), carol (22), darla (26), and erica (24).the mean number of steps these children took whilewalking on their hands is 20 steps.
The population is the number of children in gymnastic class = 5.
A parameter is the mean number of steps taken by the 5 children.
What is a parameter?
Four parameters, referred to as hybrid or h Parameters, can be used to assess any linear circuit with input and output terminals. These parameters are one measured in ohm, one in mho, and two dimensionless. Hybrid is short for "mixed." These parameters are referred to as hybrid parameters since they have dual dimensions
Here, we have
Given that,
Suppose that there are 5 children in a gymnastics class.
One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down.
The mean number of steps these children took while walking on their hands is 20 steps.
We have to find the population and parameters.
The area of interest is a particular gymnastic class, therefore all individuals or children belonging to this particular gymnastic class make up the population.
Population = number of children in gymnastic class = 5.
Parameter = mean number of steps taken by the 5 children.
Hence, Population is the number of children in gymnastic class = 5.
A parameter is the mean number of steps taken by the 5 children.
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Pritam bought a laptop at Rs 16583. He has already deposited 13% of the total amount. How much is the amount that he has to pay?
Answer:
He has to pay 14427.21 rupees.
Step-by-step explanation:
1. 13% of 16583 = 2155.79
2. 16583 - 2155.79= 14427.21
3. Has to pay 14,427.21 rupees
HELP ASAP!! 15 POINTS!!
Based on the information, we can infer that the correct graph/table is option D.
How to identify the correct table/chart?To identify the correct chart or table, we must identify the information about the data that Emily uses each year. She uses 360GB each year, in this case, to identify the relationship we must divide the amount of data she uses by the number of months she has in a year:
360GB / 12 months = 30 GB/month
In accordance with the above, we must identify the table or graph that represents this relationship. In this case it would be table D because it shows an increasing relationship of 1 month with 30gb, 2 months with 60gb, 3 months with 90gb, 4 months with 120gb, and so on.
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write the sum using summation notation -1+2+5+8+...+44
Answer:
\(\sum_{i=0}^{15} (3i-1)\)
Step-by-step explanation:
for i=0 you have the first term, 3*0-1 = -1
for i=1 you have the second term, 3*1-1 = 2
...
for i=15 you have the last term, 3*15-1 = 44