The smallest whole number greater than 4 is 364
What is a whole number ?
Any number that is not zero, a positive natural number, or a negative integer denoted by a minus sign is an integer. The opposites of their equivalent positive numbers, the negative numbers are additive. The blackboard bold mathbb Z or boldface Z are frequently used in mathematical notation to represent a collection of numbers.
Whole numbers include the numbers 0 through 9, including 1, 2, 3, 4, 5, and so on. It is possible to define the whole number as the collection of numbers devoid of fractions, decimals, and negative numbers. Only positive numbers, including 0 and 1, make up this collection.
We need to find the least common multiple of 5 , 8 , 9, 12 and add 4 to the result.
The least common multiple of the four numbers is 360 ,
By adding 4 , we get 364.
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Draw the image of the following triangle after a dilation centered at the origin with a scale factor of 3/5
The image of the triangle after dilation centered at the origin with a scale factor of 5/3 is shown in following graph.
We know that the scale factor is nothing but the ratio of the size of the transformed image to the size of the original image.
From the attached figure the coordinates of the original triangle are:
(6, 9), (9, 9) and (9, 6)
And the scale factor is k = 3/5
Using above definition of scale factor, the coordiantes of the dilated triangle would be,
5/3 × (6, 9) = (10, 15)
5/3 × (9, 9) = (15, 15)
5/3 × (9, 6) = (15, 10)
Thus, the image of the triangle after dilation is shown in following graph.
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Find the complete question below.
Mr. Zin has contributed $116.00 at the end of each month into an RRSP paying 3% per annum compounded - General Annuity - Finding FV and PV. a) How much will Mr. Zin have in the RRSP after 10years? b)How much of the above amount is interest.
a) After 10 years, Mr. Zin will have approximately $16,718.73 in the RRSP.
b) The interest earned over the 10-year period will be approximately $6,718.73.
To calculate the future value (FV) of Mr. Zin's RRSP after 10 years, we can use the formula for the future value of a general annuity:
FV = P * [(1 + r)^n - 1] / r
Monthly contribution = $116.00
Annual interest rate = 3% = 0.03 (converted to decimal)
Number of periods = 10 years * 12 months/year = 120 months
Plugging in the values, we get:
FV = $116.00 * [(1 + 0.03)^120 - 1] / 0.03
≈ $16,718.73
So, after 10 years, Mr. Zin will have approximately $16,718.73 in his RRSP.
To calculate the interest earned, we subtract the principal amount (the total contributions made) from the future value:
Interest = FV - PV
Since the principal amount (PV) is the total contributions made, which is $116.00 * 120 months = $13,920.00, we have:
Interest = $16,718.73 - $13,920.00
≈ $2,798.73
Therefore, the interest earned over the 10-year period will be approximately $2,798.73.
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If m<13=73, find m<20
Answer:
m<20 = 107 degrees
Step-by-step explanation:
m<20 = 180-73 parts whole
m<20 = 107 degrees
You have $50 in your bank account. Each week you plan to deposit $6 from your allowance and $20 from your paycheck. The equation b = 60 + (20+6)w gives the amount b in your account after w weeks. How many weeks from now will you have $215 in your bank account?
6 weeks from now, you will have $215 in your bank account
How many weeks from now will you have $215 in your bank account?The given parameters are:
b = 60 + (20+6)w
When the account balance is $215, we have
60 + (20+6)w = 215
Subtract 60 from both sides
(20+6)w = 155
This gives
26w = 155
Divide both sides by 26
w = 5.96
Approximate
w = 6
Hence, 6 weeks from now, you will have $215 in your bank account
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A jar has sweets which are either yellow or pink. For every five yellow sweets, there are six pink ones. There are 20 yellow sweets in the jar
Answer:
24
Step-by-step explanation:
Here is how you do this
If there is 20 yellow sweets, and for every 5 yellow you have 6 pink you need to divide 20/5 (4)
then you would do 6*4 which would be 24
Answer:
24
Step-by-step explanation:
There are 5 yellow candies for every 6 candies.
5x4 is 20, and we know there are 20 yellow candys (The 5 in the multiplication problem being the 5 yellow candies for every 6 candies.).
So, then I multiplied 6x4 to get 24. This may not always work but it is a (I believe) a proportional relationship.
Compare your average K, at room temperature to the K, you measured at ele- vated temperature. If there is a difference, do you think it is significant, and if so, in which direction has the reaction shifted at the higher temperature?
The difference between the K values at room temperature and elevated temperature is significant, with the K increasing at higher temperatures. This indicates that the reaction has shifted to the right at higher temperatures, making it more likely to occur due to increased kinetic energy.
At room temperature, the average K for a reaction is around 10-25. At elevated temperatures, the average K may be higher or lower depending on the reaction. For example, if the reaction is endothermic, the K will decrease at elevated temperatures, while if the reaction is exothermic, the K will increase at elevated temperatures.Using the K value for a reaction at room temperature and the K value for the same reaction at elevated temperature, we can calculate the difference. For example, let's say the K at room temperature is 10, and the K at elevated temperature is 30. The difference between the two values is 20 (30-10). This difference is significant because it is greater than 10, the average value for K at room temperature.This difference of 20 indicates that the reaction has shifted to the right at higher temperatures. This means that the reaction is more likely to occur at higher temperatures as the K has increased. This is due to the increased kinetic energy of the molecules at higher temperatures, which allows them to react more efficiently.
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What is the formula for sin and cos?
The formula for sin and cos are opposite side/hypotenuse and adjacent side/hypotenuse respectively.
Sin and Cos formulae are based on the sides of the right-angled triangle. Along with the tan function, the fundamental trigonometric functions in trigonometry are sin and cos. In contrast to the cosine of an angle, which corresponds to the ratio of the adjacent side to the hypotenuse, the sine of an angle is the ratio of the opposing side to the hypotenuse.
Sine of an angle θ = opposite side/hypotenuse
Cosine of an angle θ = adjacent side/hypotenuse
The figure given in the attachment is a right angled triangle which shows opposite side, adjacent side and hypotenuse side with an angle θ which is specified.
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Children should be encouraged to use the standard algorithms only, as these are widely used by adults.
TrueFalse
The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24 meters. A small rectangle has a length of 8 meters. A larger rectangle has a width of x. Not drawn to scale What is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary. 5 meters 8 meters 10 meters 12 meters
The Width of the original rectangle on the left is 5 meters. Answer: 5 meters
The perimeter of the original rectangle on the left is 30 meters.
The perimeter of the reduced rectangle on the right is 24 meters.
A small rectangle has a length of 8 meters.A larger rectangle has a width of x. The formula for the perimeter of a rectangle is:P = 2 (l + w) where l is the length and w is the width.
So, the original rectangle with the perimeter of 30 meters can be written as 2 (l + w) = 30,
which simplifies to l + w = 15.
Similarly, the reduced rectangle with a perimeter of 24 meters can be written as 2 (l + w) = 24, which simplifies to l + w = 12.
Now, we know the length of the small rectangle is 8 meters.
We can use this to find the width of the small rectangle:l + w = 12 (the reduced rectangle)l + 8 = 12l = 4 meters can also use the width of the small rectangle to find the width of the larger rectangle.
We can use the fact that the perimeter of a rectangle is the sum of all its sides. If we let the width of the larger rectangle be x,
we get:P_large = 2 (8 + x)P_small = 2 (4 + x)We are given P_large = 30 and P_small = 24.
Substituting these values, we get:2 (8 + x) = 302 (4 + x) = 24Solving for x, we get x = 5.
Therefore, the width of the original rectangle on the left is 5 meters. Answer: 5 meters
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ZA and ZB are supplementary angles. If mZA = (3x + 9)° and m
ZB = (6x + 27)°, then find the measure of ZA.
-
Answer:
MZA= 57
Step-by-step explanation:
(3x +9) +(6x +27) =180
3x + 9 6x+27=180
9x + 36= 180
9x-180-36
9x= 144
Divide both sides by 9
X=16
MZA= (3x+9)
MZA= (3 x 16) +9)
MZA- (48+9)
MZA= 57
are these quadrilaterals
Answer:
yes
Step-by-step explanation:
as you can see if you count them they are
Answer:
The shape on the very left of the picture is not a quadrilateral. However, the three other shapes are quadrilaterals.
Step-by-step explanation:
A shape is a quadrilateral if it has four sides and four angles. The shape on the left has five sides and five angles, therefore, not a quadrilateral.
What is x? Show your work.
Answer: x=2
Step-by-step explanation: 28/4-5= 2
Given f(x)= -x - 2, find f(3)
Answer:
- 5
Step-by-step explanation:
Step 1:
f ( x ) = - x - 2
Step 2:
f ( 3 ) = - 3 - 2
Answer:
- 5
Hope This Helps :)
increase £196 by 9%
old old working out need asap
Answer:
£213.64
Step-by-step explanation:
You do 196(0.09)
That's 17.64
The you add the two
196+17.64
The way I got 9 was from 9%.
To make it in decimal form you have to move the decimal over two places.
Hope this helps
In 2013 the median monthly rent for a one-bedroom apartment in San Francisco was $2,750. The equation below models the median monthly cost, C. in dollars, for a one-bedroom apartment over the next t years (assuming 2013 to be t = 0). C = 250t + 2.750 James moved to San Francisco in 2015 and paid the median price to rent a one-bedroom apartment. How much less would James have paid each month in rent if he had moved to San Francisco in 2014 and rented a one-bedroom apartment for the median price?
The equation models the median monthly cost for the rent of a one bedroom apartment in San Fransisco.
\(C=250t+2750\)If the year 2013 can be counted as t=0
Then the next year 2014 will be t=1
And the next year, 2015, will be t=2
To determine how much less would James pay if he moved in 2014 instead of 2015, you have to calculate the median cost for both yeanrs and calculate their difference.
Median cost for 2015 (t=2)
\(C=250\cdot2+2750=3250\)Median cost for 2014 (t=1)
\(C=250\cdot1+2750=3000\)Subtract the median cost of 2014 to the median cost of 2015:
\(C_{2015}-C_{2014}=3250-3000=250\)He woul have paid $250 less if he rented the place in 2014.
Xavier bought a bicycle that was on sale for 15% off.If Xavier paid $68 for the bicycle,how much money did he save,compared to the original price
Answer:
12 dollars
Step-by-step explanation:
100%-15%=85%
68÷85%=80
The original price was 80 dollars.
I WILL GIVE BRANLISET
Answer:
y axis: (0, 12)
x axis: (18, 0)
Quadrant I: (4.5, 10.6)
Quadrant II: (-15, 21)
Quadrant III: (-3/4, -4 1/9)
Quadrant IV: (3, -7)
Step-by-step explanation:
Integers used for each Quadrant.
Quadrant one: x axis = positive, y axis = positive
Quadrant two: x axis = negative, y axis = positive
Quadrant three: x axis = negative, y axis = negative
Quadrant four: x axis = positive, y axis = negative
(0,12) = goes to the y axis
(3,-7) = goes to quadrant 4
(-15,21) = goes to quadrant 2
(18,0) = goes to the x axis
(4.5,10.6) = goes to quadrant 1
(-3/4, -4 1/9) = goes to quadrant 3
Please help! will give brainliest!!
Answer:
c
Step-by-step explanation:
tHE ANSWER IS C
Errol collected some figures that he calls sukies. Which figure is a sukie?
Its non of the above. Though I did have a question like that, if there is a choice below the square, that has the following properties, that must be the answer:
7 sides
1 right angel
______________________________________________________
But if you are talking about it being 1 of the 2, its non of the 2 that is in the picture. The option below square must be the answer if I am right according to what I had.
Hope it helps ! The things that I told you about the figure is the only way I can tell you. Sorry, but have a great day and good luck.
........help me........
Using the formula of volume of rectangular prism;
1. The volume of the rectangular prism is 3672cm³
2. The volume of the rectangular prism is 630in³
3. The volume of the rectangular prism is 3744ft³
What is the volume of the rectangular prism?The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:
Volume = length × width × height
V = l × w × h
By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.
1. To find the volume of the rectangular prism, we have to substitute the value into the formula;
v = 9 * 24 * 17
v = 3672cm³
2. The volume of the rectangular prism is given as;
v = 4.5 * 14 * 10
v = 630in³
3. The volume of the rectangular prism is given as;
v = 8 * 12 * 39
v = 3744ft³
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if we build a na¨ıve bayes classifier, how many independent parameters are there in total?
In summary, we are asked to determine the number of independent parameters in a Naive Bayes classifier. The Naive Bayes classifier is a probabilistic machine learning model that assumes independence between features given the class label.
To calculate the number of independent parameters, we need to consider the number of features and the number of classes in the dataset. For each feature, the classifier estimates the conditional probability of that feature given each class. . Therefore, the total number of independent parameters in the Naive Bayes classifier can be calculated by multiplying the number of features by the number of classes, and then multiplying the result by the number of possible values for each feature. For example, if we have m features, k classes, and n possible values for each feature, the total number of independent parameters would be m k n. Each independent parameter represents a specific conditional probability value in the Naive Bayes model. It's important to note that the Naive Bayes assumption of feature independence simplifies the model and reduces the number of parameters required for training. However, it also introduces a limitation in cases where the features are not truly independent.
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A cubed aquarium tank holds 1,000 m^3 of water. How tall is the aquarium?
Answer:
10m
Step-by-step explanation:
formula to find volume of a cube is v=a ³
if the volume of the cube is 1000, then 1000=a³ (a being the length of an edge of the cube)(the edges of a cube are all the same length)
cube root of 1000 is 10
The required height of the cubed aquarium tank is 10 meters.
As given that, A cubed aquarium tank holds 1,000 m³ of water, the height of the aquarium is to be determined.
Volume is defined as the ratio of the mass of an object to its density.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
A cubed aquarium tank holds 1,000 m³ of water,
The volume of the cube = 1000
side ³ = 1000
side = ∛1000
side = 10
Thus, The required height of the cubed aquarium tank is 10 meters.
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This dot plot shows the number of runs scored by the Yellow Jackets in their last 12 baseball games.
What is the median number of runs scored?
The median number of runs scored for the data set displayed on the dot plot is: 6.
What is the Median of a Data Distribution on a Dot Plot?Median = the data point that lies at the middle of the data set that are represented on a dot plot.
From the dot plot given, if we count equal number of data points from our right and from our left, the middle value lies at 6.
Therefore, the median number of runs scored for the data set displayed on the dot plot is: 6.
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Louise completed the work shown below.
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.
Answer:
SAMPLE RESPONSE
Step-by-step explanation:
Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.
A line is represented by the equation y = 3x - 6. Which is a coordinate of a
point that lies on the line?
0 (0,3)
0 (-6,3)
O (2,0)
0 (-3,1)
Answer:
(2,0)
Step-by-step explanation:
Simply plug in the coordinates. y= 3x - 6, so in this case 0= 3(2) - 6 or 0=0, making the point on the line. If the equation is not true like when using (0,3) and getting 3= -6, then the point is not on the line.
Write and solve an equation to find the value of x below.
Answer:
20
Step-by-step-explanation
There appears to be 2 lines intersecting eachother, and 150 degrees is on the opposite side to that of the expression. The expression 7x+10 equals a degree, since it is directly opposite to that of the 150 degrees we can use the vertical angles theorem. Although there are no congruent markings for the angles, it is safe to assume that they are congruent to each other with the information given. Vertical angles are angles opposite to each other by 2 intersecting lines. We can write the equation 7x+10=150 for finding x. Now, we solve for x. Inverse operations can be used to subtract 10 by both sides. 150-10=140, 7x=140, to move the x to the other side so that x is alone, we divide by 7 with the inverse operations. Leaving the x alone gives us to what x is, 140/7=20! x=20 Good luck and have a great time
i’ll give brainliest.
Answer:
-0.89, 4/10, 1/2, 9/8, 2
Step-by-step explanation:
4.
A straight line passes through points (3, 12) and (7,4). What is the equation of the line?
Answer:
slope is -2 (-8/4)
point slope formula y=y1=m(x-x1) m slope (x1, y1) point
y-4=-2(x-7)
y=-2x+18
Answer:
y=-2x+18
Step-by-step explanation:
Since the y-value is going down, we can assume that the line is going negative. As the midpoint is (5, 8), you should subtract 2 units from 3 and 4 units from 12 to get (1, 16) and therefore to get to (-1, 20), since the y-intercept is 18, the slope is 2, and it is going negative, your final answer is y=-2x+18.
please help me
A circular running track is 1/4 mile long. Elena runs on this track, completing each lap in 1/20 of an hour.
How many minutes does it take Elena to run one mile?
How many miles does Elena run in one hour?
Answer:
ahm,nandito nato sa brainly but I think dimo nakita kaya heto nag copy nalang ako....
Step-by-step explanation:
Elena's running speed is 5 miles/hour
Explanation:
The speed is defined as the covered distance per unit time
In the problem, we have:
The distance covered is the length (circumference) of the circular track which is given as \frac{1}{4}
4
1
I'm
of a mile.
We are also given that she completes each lap (she completes \frac{1}{4}
4
1
of a mile) in \frac{1}{20}
20
1
of an hour
To get her speed, we will divide the distance covered by the time taken to cover this distance
This is done as follows:
speed = \frac{\frac{1}{4} }{\frac{1}{20} } = 5
20
1
4
1
=5 miles/hour
This means that:
Elena can run 5 miles each hour
Simplify 3y(y^2-3y+2)
Answer:
3y^3-9y^2+6y
Step-by-step explanation:
= 3y^3-9y^2+6y