The result of the multiplication is 24,000.
How to multiply any number with 10?Multiplication is simply repeated addition, and it is a crucial skill to master.
What occurred if we multiply by ten? 4 * 10 equals 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + What does this add up to? It adds up to 40. Take a look at that. We have a 4 and a 0 just at end.While multiplying whole digits by ten, surely add a 0 to a end of the number to get the answer. 5 * 10 equals a 5 with a 0 just at end: 50. 3 * 10 equals 30 (a 3 with such a 0 at the end).For the given multiplication;
= 10 x 20 x 30 x 40
This could be written in the terms of 10.
= 10 x 2 x 10 x 3 x 10 x 4 x 10
Simply count the 10 and put the same number of zero after 1 and multiply remaining.
= 2 x 3 x 4 x 10000
= 24 x 10,000
Now, put the same number of zero after the number 24.
= 240,000
Therefore, the given multiplication is solved using simple mental maths.
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The correct question is -
Explain how using basic facts can help you find 10 x 20 x 30 x 40 mentally.
Which of the following expressions are equivalent to (z+0)+y+0?
Choose all answers that apply:
A
z+y
® 1+0+ (y+0)
B
None of the above
The algebraic expression (z+0)+y+0 is equivalent to (z+y) by the identity property of addition.
An algebraic expression is a simple and random combination of constants and variables .
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).
The identity property of addition states that when a constant number is added to zero the value of the expression remains the same.
Since the absolute value of 0 is nothing so adding or subtracting zero from a constant does not change the value of the constant.
I.e, g+0=0 here the value of g does not change.
Given (z+0)+y+0
We know from the identity property of addition:
z+0=z and y+0=y
Therefore the value of the expression is (z+y) .
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What are the coordinates of the y-intercept? (-8, 3) and (-3, -4.5)
Based on the calculations, the coordinates of the y-intercept are (0, -9).
What is the y-intercept?In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0). Similarly, the x-intercept refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Substituting the given parameters into the formula, we have;
Slope, m = (-4.5 - 3)/(-3 + 8)
Slope, m = -7.5/5
Slope, m = -1.5.
Mathematically, the standard form of the equation of a straight line is given by;
y - y₁ = m(x - x₁)
At point (-8, 3), we have:
y - 3 = -1.5(x + 8)
y - 3 = -1.5x - 12
y = -1.5x - 12 + 3
y = -1.5x - 9
Therefore, the coordinates of the y-intercept are (0, -9).
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Determine if the conjectures below are true or false. If false, give a counterexample. Two right angles are always supplemetary.
The conjecture is always true, two right angles are always supplementary.
A pair of angles are supplementary only when the sum of those angles equals to 180°. In such a case each angle is said to be the supplement of another.
In case of parallel lines and a transversal two co-interior angles are supplementary. The opposite angles of a cyclic quadrilateral are supplementary angles .
For two angles to be supplementary only the sum of the angles matter and they should always be 180°.
The numerical value of right angle is 90° .
Therefore the sum of two right angles will be 90°+ 90° = 180°
So the conjecture which states that two right angles are supplementary will always stand as the sum of two 90°s is always 180°.
Hence the conjecture is true.
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Choose all the true statements.
A. √√-2= √2
B. √-2=√√2i
C. √-8=2i√/2
D. √√-8=-2√2
E. √-16=4i
F. √-16=-4
Answer:
B,E,A
Step-by-step explanation:
help me please please
Answer:
It would be at the coordinates 4,5
Step-by-step explanation:
5.
Solve 0 = 4+ q.
9=0
Which statement shows the correct justification for the step used to solve the
equation?
O Add 0 to each side.
O Add 4 to each side.
O Subtract 0 from each side.
Subtract 4 from each side.
Answer:
subtract 4from each side
F(x)=|x|+5; horizontal shrink of factor 3
the horizontally shrunk function by a scale factor K = 3 is modeled by:
g(x) = |3*x| + 5
How to apply a horizontal shrink to a function?
For any function f(x), we define a horizontal shrink or compression by a scale factor K as:
g(x) = f(K*x)
In this case the function is:
f(x) = |x| + 5
And the scale factor is K = 3.
Then we can write the compression as:
g(x) = f(3*x)
Replacing the actual function we will get:
g(x) = f(3*x) = |3*x| + 5
Then the horizontally shrunk function by a scale factor K = 3 is modeled by:
g(x) = |3*x| + 5
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Can ya'll help me please? 50 points!!
-3/4
The | \ symbol mean how far it is from 0. - means its negative.
a₁ is the first term of a sequence, r is a common ratio, and d is a common difference. Write the first five terms. a₁=2, r=-2
The first five terms of a geometric sequence with first term 2 and common ratio (-2) are 2, -4, 8, -16, 32
The given parameters:
a₁ = 2, r = -2
r is the common ratio, hence, the given sequence is a geometric sequence.
In a geometric sequence, the formula for the nth term is given by:
a(n) = a(1) . rⁿ⁻¹
We can also find the terms using recursive formula. The nth term of a geometric sequence is equal to the (n-1)th term times the common ratio, r. Mathematically,
a(n) = a(n -1) . r
Let us start from n = 1
a(1) = 2 (given)
a(2) = a(1) . r = 2 . (-2) = -4
a(3) = a(2) . r = -4 . (-2) = 8
a(4) = a(3) . r = 8 . (-2) = -16
a(5) = a(4) . r = -16 . (-2) = 32
Thus, the first five terms are 2, -4, 8, -16, 32
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d. What is the sum of the first ten terms of any Fibonacci-like sequence?
The sum of the first ten terms of any Fibonacci-like sequence is 88.
How to find the sum of the first ten terms of any Fibonacci-like sequence?The Fibonacci numbers, sometimes known as Fn in mathematics, are a series. Each number in the Fibonacci sequence is composed of the sum of the two numbers before it. Typically, the sequence begins with 0 and 1.
means
0+1 = 1
1+1 = 2
1+2 = 3
2+3 = 5,like this.
The Fibonacci sequence includes the numbers 0, 1, 1, 2, 3, 5, 8, 13, 21 and so on.
Sum = 0 + 1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 = 88 is what we get when we add up the numbers in the series.
The first ten Fibonacci numbers sum is 88.
Hence, The sum of the first ten terms of any Fibonacci-like sequence is 88.
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Determine the slope of the line that contains the given points.
E(5,-1), F(2,-4)
The slope of the line containing (4,2) and (4,-3) is 1.
The slope of a straight line can be written as follows,
m = ( [tex]y_{2} - y_{1}[/tex])/([tex]x_{2} - x_{1}[/tex]) equation1
The line is containing the points (5,-1) and (2,-4). So, we can write
[tex]y_{2}[/tex] = -4 , [tex]y_{1}[/tex] = -1 , [tex]x_{1}[/tex] = 5 , and [tex]x_{2}[/tex] = 2 .
On substituting the values of variables in equation1, we will get
m = (-4-(-1))/(2-5) = (-3/-3) = 1.
As the slope of a line is 1 , so we can conclude that the given line is a straight line.
Here,
m = the slope of the line
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) are the first coordinates.
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )are the second coordinates.
The slope of the line containing (5 , -1) and ( 2 , -4 ) is 1.
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what's the slope-intercept form of the equation of (-5, -2) and (5, 4
The equation of the line in slope-intercept form is y + 2 = (5 / 3) · (x + 5).
What is the equation of the a in slop-intercept form?
Linear equations are first order polynomials whose slope-intercept form is introduced below:
y - y₁ = m · (x - x₁) (1)
Where:
(x₁, y₁) - Coordinates of a point lying on the line.m - Slopex - Independent variabley - Dependent variableAnd the slope of the line is determined by the secant line formula:
m = Δy / Δx (2)
Now we proceed to determine the equation of the line in slope-intercept form:
m = [5 - (-5)] / [4 - (- 2)]
m = 10 / 6
m = 5 / 3
y + 2 = (5 / 3) · (x + 5)
The equation of the line in slope-intercept form is y + 2 = (5 / 3) · (x + 5).
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Work out the equation of the line which has a gradient of -2 and
passes through the point (1, 7)
Answer:
y = -2x + 9
Step-by-step explanation:
1) Use the equation y = mx + c (m being gradient and c being y-intercept)
2) Substitute all the values to get 7 = -2(1) + c
3) Solve to get c:
7 = -2 + c9 = c4) Final answer: y = -2x + 9
WILL MARK BRAINLEST
Write a function g whose graph is a translation 4 units up of of the graph of f(x)=|x|-5
g(x)=
Answer:
Step-by-step explanation:
A strawberry milk recipe uses 3 teaspoons of strawberry syrup for every 8 ounces of milk. Part A: How many teaspoons of strawberry syrup per ounce of milk does this recipe use? Show Part B: your work. How many ounces of milk are needed per teaspoon of strawberry syrup? Show your work.
The number of teaspoons of strawberry syrup per ounce of milk this recipe use is 0.375 and the number of ounces of milk needed per teaspoon of strawberry syrup is 2.67
Part A: How many teaspoons of strawberry syrup per ounce of milk does this recipe use?The given parameters are
Teaspoons = 3
Ounces of milk = 8
The number of teaspoons of strawberry syrup per ounce of milk this recipe use is calculated as
Rate = Teaspoons/Ounces of milk
So, we have
Rate = 3/8
Evaluate
Rate = 0.375
Part B: How many ounces of milk are needed per teaspoon of strawberry syrupThe number of ounces of milk needed per teaspoon of strawberry syrup is
Rate = Ounces of milk/Teaspoons
So, we have
Rate = 8/3
Evaluate
Rate = 2.67
Hence, the number of teaspoons of strawberry syrup per ounce of milk this recipe use is 0.375 and the number of ounces of milk needed per teaspoon of strawberry syrup is 2.67
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Determine the distance between each pair of points. Then determine the coordinates of the midpoint M of the segment joining the pair of points.
G(-3,-4,6) and H(5,-3,-5)
The midpoint is at (1 , -7/2 ,1/2)
In the given statement is
To find the midpoint of the line segment joining the pair of points
G(-3,-4,6) and H(5,-3,-5)
Midpoint:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
m = (A +B)/2
If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =( [tex]\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} , \frac{z_{1}+z_{2} }{2}[/tex] )
where:
(x1 , y1 ,z1) are the coordinates of the first point:
(x2 , y2 , z2) are the coordinates of the second point:
Now, We are given the three points G(-3,-4,6) and H(5,-3,-5)
Solving for the midpoint , we have,
m = ([tex]\frac{-3+5}{2},\frac{-4+(-3)}{2} ,\frac{6+(-5)}{2}[/tex])
m = (1 , -7/2 ,1/2)
Therefore, the midpoint is at (1 , -7/2 ,1/2)
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what doe mean (x,y)→(x+2,y-4)
Answer: shift 2 units right, and 4 units down
==================================================
Explanation:
The x+2 means to shift the point 2 units to the right.
For instance, the point (5,13) moves to (7,13) after adding 2 to the x coordinate.
The y-4 means to shift the point 4 units down. Example: (10,8) moves to (10,4) after subtracting 4 from the y coordinate.
Overall, (x,y)→(x+2,y-4) means "shift 2 units right, and 4 units down"
------------
Example:
Let's apply the rule to the point (1, 7)
(x,y)→(x+2,y-4)
(1,7)→(1+2,7-4)
(1,7)→(3,3)
What is the probability of drawing a blue marble?
A company's stock began the day at $27.26 per share. That price drops by $1.02 each hour.
a. What is the price per share after 4 hours?
Find the Missing Angle *
Answer:
53degree
82+45=127
We know
There is 180 degree in the angle
For the missing value
180-127= 53
Answer:
Answer is in the attached screenshot! :)
Step-by-step explanation:
Please let me know if you have any questions! :)
6−3+4x+1= no solution one
solution
Answer:
The answer is 4x+(any number other than 4)
Step-by-step explanation:
If there are no solutions, then the equation will be equal to 4x + (any number other than 4).
Examples: 4x + 1, 4x + 2, 4x + 3
Find the square of 4+i
Answer:
1i = 1
4 + i = 4 + 1 = 5
Step-by-step explanation:
hope it's helpful
can anyone work this out?
80.94cm² is the area of the parallelogram.
What is a parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are of equal length, and its opposite angles are of equal measure.The formula of the area of a parallelogram: bh (base × height)
Now, substitute the values in the formula as follows:
A = bhA = 11.4 × 7.1A = 80.94Therefore, the area of a parallelogram is 80.94cm².
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Temperature Conversion
Show how you got your answer please!!
The formula for the temperature in ºC is:
[tex]C = \frac{5}{9}(F - 32)[/tex]
What is the temperature in Fahrenheit, given the temperature in Celsius?As shown in the problem, the rule is as follows:
F(C) = 9C/5 + 32.
We want to find the temperature in Celsius given the Fahrenheit temperature, hence we have to solve for C the above formula, hence:
9C/5 = F - 32
9C = 5(F - 32)
C = 5/9(F - 32).
For better notation I will use Latex, as follows:
[tex]C = \frac{5}{9}(F - 32)[/tex]
The above formula is the formula for the temperature in ºC.
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Each triangle shown below is a right triangle.
Answer:
Yes, Triangle A
Step-by-step explanation:
Perpendicular legs of the triangle A are equal in measure (each 4 units)-> Triangle A is an isosceles right triangle.
Use the spinner to find following probability. The spinner is spun again if it stops on a line.
P (pointer landing on blue)
The probability that the point of the spinner land on blue is 8.34%.
What is a pie chart?A pie chart is a type of chart that shows data in a circular graph.
We recognise that the pie's total value is always 100%. It is additionally recognized that a circle has a circumference of 360°. As a result, the sum of all the data equals 360°. Depending on these, there seem to be two main pie chart formulas:
We use the following formula to calculate a percentage of the data set: (Frequency ÷ Total Frequency) × 100We use the following formula to convert the data to degrees: (Given Data ÷ Total value of Data) × 360°On complete rotation of circle forms 360 degrees at the centre.
The total percentage of the all the colours is 100%.
Divide the value of blue by 3.6 because 360 degrees /100 percent = 3.6.
The total percentage of blue shown by the pointer of spinner is 30%.
Probability P (pointer landing on blue) = 30/3.6
Probability P (pointer landing on blue) = 8.333... = 8.4 (approx.)
Therefore, the probability that the pointer lands on the blue is 8.4.
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Read the problem. Identify what you need to know. Then use the information in the problem to solve. Show your work.
Write an equation of the line containing the points (2,4) and (0,-2) .
The equation of line which contains points (2,4) and (0,-2) will be y = 3x - 2.
It is given that a line contains points (2,4) and (0,-2).
We have to find out the equation of the line.
What is the equation of line in slope intercept form ?
The equation of line in slope intercept form is y = mx + c , where m is the slope and c is the y-intercept.
As per the question ;
Line contains points (2,4) and (0,-2)
We know that slope intercept form of line is ;
y = mx + c
∴ (2,4) and (0,-2) must satisfy the equation because the line contains them.
So ,
For x = 2 and y = 4 ;
the equation y = mx + c becomes ;
4 = 2m + c ------ ------ ------ ---- (1)
Also ;
For x = 0 and y = -2 ;
the equation y = mx + c becomes ;
-2 = 0 + c
or
c = -2
Put the value of c in equation 1 ;
i.e.,
4 = 2m - 2
2m = 6
or
m = 3
So ,
the equation of line which contains points (2,4) and (0,-2) will be ;
y = (3 × x) - 2
y = 3x -2
Thus , the equation of line which contains points (2,4) and (0,-2) will be y = 3x - 2.
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Identify each sequence as arithmetic, geometric, or neither. Then find the next two terms. 1,4,9,16, . . . . . .
The sequence 1,4,9,16, . . . is neither an arithmetic nor a geometric sequence. In fact, it is a quadratic sequence. The next two terms are: 25 and 36
Given a sequence:
1,4,9,16, . . . .
To determine whether the sequence is an arithmetic, geometric, or neither, we need to check the relation between two consecutive terms.
Arithmetic sequence:
a(n) = a(n-1) + d
or a(n) - a(n-1) = d for all n
where d is a constant and is usually called common difference.
Geometric sequence:
a(n) = a(n -1) . r
or a(n)/a(n-1) = r, for all n
In the given sequence:
a(1) = 1
a(2) = 4
a(3) = 9
a(4) = 16
Check the difference:
a(2) - a(1) = 4 - 1 = 3
a(3) - a(2) = 9 - 4 = 5
Since the difference between 2 consecutive sequence is not a constant, then the sequence is not an arithmetic one.
Check the ratio:
a(2)/a(1) = 4
a(3)/a(2) = 9/4
Since the ratio of 2 consecutive sequence is not a constant, then the sequence is not a geometric one.
Thus the given sequence is neither an arithmetic, nor a geometric sequence. In fact, it is a quadratic sequence. Notice that:
a(n) = n²
Hence, the next two terms are: 25 and 36
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Write each number as a percent.
1/3
Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100.
The number 1/3 as a percentage is 33.33 %.
What is a percentage?
A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The percent sign, %, is frequently used to indicate it. There is no unit of measurement for a percentage. It is a dimensionless number (pure number).
Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.
Let the number be 1/3 then
1/3 = 0.3333
To find percentage multiply it by 100, we get
So, 0.3333 × 100 = 33.33 %
Therefore, the number 1/3 as a percentage is 33.33 %.
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a. The table below shows pork production in China from 2000 to 2007 . Use a calculator to find the line of best fit.
The line of best fit for pork production in China in x years after 2000 is given by:
y = 2053.17x + 39758.67.
What is the missing information?The values of the table are missing, and are given as follows:
Year: 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008.Production: 40475, 42010, 43413, 45331, 47177, 50254, 52407, 54491.How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, we insert the points (Year - 2000, Production) given in the table, and the line of best fit, using a calculator, is given by:
y = 2053.17x + 39758.67.
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