By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.
Given that,
(2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴)
By using scientific notation
The scientific notation allows us to express extremely large or extremely small numbers by multiplying them by single-digit integers and by 10 raised to the power of the corresponding exponent. The exponent is either positive or negative depending on how big or little the number is.
Now, we calculate
(2.3[tex]\times[/tex]10⁵)=2.5[tex]\times[/tex]100000=230000
(1.5 [tex]\times[/tex]10⁴)=1.5[tex]\times[/tex]10000=15000
Now,
=230000[tex]\times[/tex]15000
=3450000000
=345 [tex]\times[/tex]10⁷
Therefore, By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.
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T(0,-2), U(2,-1), V(3,-4) reflected over the x-axis
We get the reflection of points T, U and V as T' = (0, 2), U' = (0, 1) and V' = (0, 4) over the x- axis.
We are given some coordinates:
T(0, - 2), U(2, - 1), V(3, - 4)
We have to first plot them on a graph.
Now, we have to reflect them over x - axis.
To reflect over x- axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.
For point T:
Additive inverse of - 2 = 2
T' = (0, 2)
For point U:
Additive inverse of - 1 = 1
U' = (0, 1)
For point V:
Additive inverse of - 4 = 4
V' = (0, 4)
Therefore, we get the reflection of points T, U and V as T' = (0, 2), U' = (0, 1) and V' = (0, 4) over the x- axis.
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What is the GCF of 72, 90, and 162?
Answer:
18
Step-by-step explanation:
Prime factorization of the numbers:
72 = 2 × 2 × 2 × 3 × 3
90 = 2 × 3 × 3 × 5
162 = 2 × 3 × 3 × 3 × 3
GCF(72, 90, 162)
= 2 × 3 × 3
= 18
Answer: 18
Step-by-step explanation:
Factors for 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72
Factors for 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90
Factors for 162: 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162
each year a certain amount of money is deposited in an account which pays an annual interest rate of r at the end of each year the balance in the account is multiplied by a growth factor of x = 1 + r. 1,000 is deposited at the start of the first year, an additional 300 is deposited at the start of the next year and 500 at the start of the following year
1. write an expression for the value of the account at the end of three years in terms of the growth factor x
2. determine to the nearest cent the amount in the account at the end of three years if the interest rate is 4 %
Check the picture below.
now if the interest rate is 4%, that's in percentage form, we need to use the decimal version of it, namely 4/100 = 0.04, and since we know that x = 1 + r, whilst r = 0.04, that means that x = 1 + 0.04, x = 1.04.
[tex]1000x^3~~ + ~~300x^2~~ + ~~500x\implies 1000(1.04)^3~~ + ~~300(1.04)^2~ + ~500(1.04) \\\\\\ 1124.864~~ + ~~324.48~~ + ~~520 {\LARGE \begin{array}{llll} ~~ \approx ~~ 1969.33 \end{array}}[/tex]
help pls! i dont understand!!
Answer:
d -2+5
Step-by-step explanation:
Answer:
I think it would be -2 +5
Step-by-step explanation:
Since one of the lines is going from 0 to -2, one number would be negative 2. Then, since the other line is going from -2 to 3 that would be a total of 5 points. I believe the answer would be -2 + 5.
Sorry if it's wrong
Have a good day
3[9 - (6-3)] – 10
How do I do this problem?
Answer: 8
Step-by-step explanation: Use pemdas
3[9 - (6-3)] – 10 : Complete parentheses (6-3)
3[9 - 3] - 10 : Complete equation in parentheses
3[6] - 10 : Multiply 3 and 6
18 - 10 = 8
Answer:
8
Step-by-step explanation:
3[9 - (6-3)] – 10
3 [9 - (3)] - 10
3 (6) - 10
18 - 10
8
This problem is about "order of operations." These are the rules we all agree upon that dictate which order we do mathematical operations. We use the acronym PEMDAS to help remember them:
P - parentheses first, then:
E - exponents (powers, square roots, etc)
MD - multiplication and division (from left-to-right)
AS - addition and subtraction (from left-to-right)
3. Evaluate the expression when a = -2 and b =5
a²b – 2a − b
I dont understand how to do intercept from a equation can anyone help me
cheap answer, to get the x-intercepts, set x = 0 and solve for "y", to get the y-intercept, set y = 0 and solve for "x".
[tex]y-6=4(x+5) \\\\[-0.35em] ~\dotfill\\\\ y-6=4(\stackrel{x}{0}+5)\implies y-6=20\implies y=26~\hfill \stackrel{y-intercept}{(0~~,~~26)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{y}{0}-6=4(x+5)\implies -6=4x+20\implies -26=4x \\\\\\ \cfrac{-26}{4}=x \implies -\cfrac{13}{2}=x\implies -6\frac{1}{2}=x ~\hfill \stackrel{x-intercept}{\left( -6\frac{1}{2}~~,~~0 \right)}[/tex]
What is median? the sum of values in a set of data multiplied by the number of values in the set the sum of values in a set of data divided by the number of values in the set the middle value in a data set when the values are put in order the value that occurs most often in a data set
The median of a set of numbers is the middle number in the set (after the numbers have been arranged from least to greatest) -- or, if there are an even number of data, the median is the average of the middle two numbers.
For example:
Find the median of the set {2,5,8,11,16,21,30} .
There are 7 numbers in the set, and they are arranged in ascending order. The middle number (the 4 th one in the list) is 11. So, the median is 11.
The center of a data set is also a way of describing the location. The two most widely used measures of the center of the data are the mean (average) and the median. To calculate the mean weight of 50 people, add the 50 weights together and divide by 50. To find the median weight of the 50 people, order the data, and find the number that splits the data into two equal parts. The median is generally a better measure of the center when there are extreme values or outliers because it is not affected by the precise numerical values of the outliers.
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h04Y 8 6 2 V -10 -8 -6 U 52 + 6 e 12 -4 -6 -8 -10-
Answer:
I don't think this is possible to solve,
Step-by-step explanation:
plot (-4,2), (-1,0), and (-4,-6) in the xy-plane. tell in which quadrant or on what coordinate axis each point lies.
(-4, 2)
This point lies on the second quadrant because this point has negative x-axis value and positive y-axis value
(-1, 0)
This point also lies on the x-axis because the y-axis value is zero.
(-4, -6)
This point also lies on the third quadrant because this point has negative x-axis and y-axis values
Define Quadrant?On the cartesian plane, four regions are created at the point where the X and Y axes intersect at 90 degrees. These regions are known as quadrants. Each of the four quadrants in each plane is therefore bound by one-half of the axes. Depending on where they are in relation to the axes, each quadrant is identified by a Roman numeral and given the names Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.
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use distributive property to rewrite the expression
(4+5)6
The expression can be rewrite as [tex](4\times6)+(5\times6)[/tex] using distributive property.
"Distribution" means sharing or giving a share or portion of something. The distribution laws of multiplication for basic arithmetic operations such as addition and subtraction are known as distribution characteristics. According to this property, multiplying the sum of two or more summands by a number gives the same result as multiplying each summand separately by a number and then adding the products.Use this property of multiplication rather than addition when you need to multiply a number by the sum of two numbers.
Let's use properties to calculate given expression. The number 6 is divided by two addends. Simply put , multiply each summand by 6 and add the products together.
By using distributive property , we get
[tex](4+5)6=(4\times6)+(5\times6)[/tex]
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We put 6 lemons in a bag to fill it.
to fill it.
Which of the following numbers of lemons can fill
entire bags?
How do you know?
96, 46, 42, 60, 63, 72, 85
What is answer to this?
Answer:
c is the answer to it
Step-by-step explanation:
did I help you
CAN SOMEONE PLEASE HELP ME 25 points ITs MATH
Answer:
64h^24
Step-by-step explanation:
(4h^4)^4 / 4h^-8
4^4 * h^16 / 4h^-8
64h^24
Step-by-step explanation:
as I said already in my answer to the duplicate post :
(4h⁴)⁴ = 4^1×4 × h^4×4 = 4⁴h¹⁶
for exponent of exponent we multiply.
n^-a = 1/(n^a)
1/(4h^-8) = 1/4 × h⁸
and together we get
4⁴h¹⁶ × 1/4 × h⁸ = 4³h²⁴
How can I solve 2z+–
4z–2z–2
Answer:
Step-by-step explanation:
=-4z-2
write the slope-intercept form of the equation of the line through the given point with the given slope.
through: (-2,-5) and slope= -3
y = -3x - 11
calculator
17
20%
√.5
| -0.5|
Which list shows the values in order from least to greatest?
Answer:
√.5, 20%, |-0.5|, 17
Step-by-step explanation:
√.5 = -0.5,
20% = 0.2,
|-0.5| = 0.5,
17 = 17
A rocket flies 10 km vertically, then 20 km at an angle of 15° to the vertical and finally 60 km at an angle of 26° to the vertical. Calculate the vertical height of the rocket at the end of the third stage.
The vertical height of the rocket at the end of the third stage is 83.2 km.
We are provided that the rocket travels first 10 km vertically up (OA), then the rocket travels for 20 km (AC) at an angle of 15° from point A.
Let rocket travels 'a' distance vertically up(AB) during this,
then, rocket travels for travels for 60 km (CD) at an angle of 26° from point C.
Let rocket travels ' b' distance vertically up (BX) during this.
So,
Total Vertical Height Covered = 10 + a + b
So, According to diagram
In ΔABC
[tex]cos \ 15[/tex]° [tex]= \frac{a}{20}[/tex]
[tex]\\a = 20 * cos 15[/tex]° = 19.32km
In ΔCDE
[tex]cos \ 26[/tex]° [tex]= \frac{b}{60}[/tex]
[tex]\\b = 60 * cos 26[/tex]° = 53.9km
Since,
Total Distance = 10 + a +b
Total Distance = 10 + 19.32 + 53.9
Total Distance = 83.2 km
Therefore, Vertical height of the rocket at the end of third stage = 83.2 km
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Use grids to find all the factor pairs for each number
All the factor pairs are given using the grids:
17 × 1 = 176 × 4 = 426 × 22 = 13237 × 1 = 3729 × 1 = 298 × 6 = 48What are factor pairs?A factor pair is defined in mathematics as a set of two factors that, when multiplied together, yield a specific product.In other words, we multiply a pair of numbers to get a product. In the multiplication statement, for example, 6 7 = 42, 6 and 7 are one of the factor pairs that give us the product 42.So,
17 × 1 = 176 × 4 = 426 × 22 = 13237 × 1 = 3729 × 1 = 298 × 6 = 48(Refer to the grids given below)
Therefore, all the factor pairs are given using the grids:
17 × 1 = 176 × 4 = 426 × 22 = 13237 × 1 = 3729 × 1 = 298 × 6 = 48Know more about factor pairs here:
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I need this answered in the next 5 maybe 10 minutes
Six times a number is 36
x^6= 36
6x = 36
6^x= 36
6 + x = 36
Answer:
6x = 36 is the correct expression.
Answer:
6x=36 so we divide both side by 6, then we will gate the x =6
Step-by-step explanation:
6x= 36 so the x value become 6PLEASE HELP ME WITH MY GEOMETREY WILL GIVE BRAINLIEST.
The function f is defined as follows
f(x)=-2x^2-2
if the graph of f is translated vertically upward by 5 units, it becomes the graph of function h
FIND THE EXPRESSION FOR H(X)
h(x)=?
Answer:
h(x)=-2x²+3
Step-by-step explanation:
Add 5 to -2x²-2.
-2x²-2+5=-2x²+3
h(x)=-2x²+3
Hope this helps!
Please mark as brainliest if correct!
The seaside train runs along a 156 mile route that takes 3 hours to complete. if it always runs at the same speed, write an equation to represent the distance and time.
The equation to represent the relationship between Distance and Time will be 52y = x, where Speed remains constant
In the given question, it is said that the train runs along a distance of 156 miles, which takes 3 hours to complete.
The equation that represents the relationship between Speed, Distance, and Time is as follows :
=> Speed = Distance/Time
It is also stated that the train runs at the same speed so the Speed will be constant while deriving the relationship between Distance and Time.
First, we have to find the speed of the train with the given Distance & Time by the formula => S = D/T, where Speed = S, Distance = 156 miles, and Time = 3 Hours
=> S = 156/3 => S = 52 miles/hour
As we got our constant speed for the train, We can now find out the Distance Time relation of the train. By taking Distance = x, Time = y, Speed = 52 miles/hour
=> 52 = x/y => 52y = x
Hence, we get the relationship between Distance and Time where Speed is constant at 52 miles/hour
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Taylor is buying presents for members of his family. He wants to spend $10 less on his brother then he spends on his sister and six dollars more then twice the amount he spends on his sister on his mother. If taylor has $100 to spend how much does he intend to spend on his brother
Answer:
the answer is:
$90 ))
Step-by-step explanation:
100 - 10= 90
Carmen is making a strawberry drink. The recipe calls for 5 parts strawberry juice to 3 parts water. Carmen would like to make 64 fluid ounces of the strawberry drink. How many fluid ounces of strawberry juice and water does Carmen need?
----Carmen will need
__ fluid ounces of strawberry juice and
__ fluid ounces of water to make 64 fluid ounces of strawberry drink.
Answer:960
Step-by-step explanation:
Clark went to Mariano’s with $14. He bought 6 Milky Ways and left the store with $5. Write and solve an equation to find the price of each Milky Way.
Answer:
6x - 14= 5
Step by Step
Let the cost of one milky way be 'x'
Given -
Initial Amount of money= $14
Final Amount of money= $5
Number of Milky Way= 6
Cost of 6 Milky Ways = 6x
Answer-
6x -14= 5
6x = 5+14
6x = 19
x =$3.1
Write the slope-intercept equation of a line that passes through the points (-2, 5) and (6, -4)
The slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is y = (-9/8)x + 11/4.
According to the question.
A line passes through the two points (-2, 5) and (6, -4).
As we know that, the slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.
So, the slope of the line = -4 -5/(6 + 2) = -9/8
And, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is given by
y = (-9/8)x + b
Since, the line passes through (-2, 5) and (6, -4). So, both the points must statisfy the above equation.
⇒ 5 = (-9/8)(-2) + b
⇒ 5 = 9/4 + b
⇒ b = 5 - 9/4
⇒ b = (20 - 9)/4
⇒ b = 11/4
Therefore, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is y = (-9/8)x + 11/4.
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Please help i will give brainly
The cost of a new robotic toy after an 8% markup can be represented by the expression
r
+
0
.
08
r
. Simplify the expression.
The simplified equation of the given statement = 1.08r.
Addition variable in math's:Even though they also have different operations, adding and subtracting variables follow the same rule: while adding or subtracting terms with the same variables, either add or subtract the coefficients and leave the result with the variable. As an example, consider an addition.
According to the given data:The original cost of the new robotic toy is given as r.
The cost of the new robotic toy after a 8% markup is: c + 0.08r to show that 8% of r was being added to r to increase the price.
Because both numbers in the equation are related to the same variable, they can be added. When r is used alone, it is considered to be 1r.
= r + 0.08r
= 1r + 0.08r
= 1.08r
The simplified equation of the given statement = 1.08r
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I understand that the question you are looking for is:
The cost of a new robotic toy after an 8% markup can be represented by the expression r+0.08r. Simplify the expression.
The points B(7,-9), C(7,-2), and D(0, 0) form a triangle. Plot the points then
click the "Graph Triangle" button. Then find the perimeter of the triangle. Round
your answer to the nearest tenth if necessary.
Click on the graph to plot a point. Click a point to delete it.
-109-8
5 6 7
с
9
10
The perimeter of the triangle formed by the points B(7,-9), C(7,-2) and D(0,0) is 25.68 square units.
Perimeter is defined as the distance or the enclosed path that surrounds the 2-D shapes or polygon. The perimeter of a triangle is the sum of all the three sides of a triangle.
The perimeter of a triangle formed by the points B(7,-9), C(7,-2) and D(0,0) can be determined by finding the distance between two points.
The distance between two points A(x1,y1) and B(x2,y2).
√[(x2-x1)²+(y2-y1)²]
Therefore, BC = √(7-7)²+(-2+9)²
BC = √49
BC = 7 square units.
and CD = √(0-7)²+(0+2)²
CD = √53
CD = 7.28 square units.
and DB = √(7-0)²+(-9-0)²
DB = √130
DB = 11.40 square units.
Therefore, perimeter of triangle formed from given points is BC+CD+DB = 7+7.28+11.40 = 25.68 square units.
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