The expression as a number in scientific notation is 4.2 * 10^5
How to write the expression as a number in scientific notation?The expression is given as:
quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared
Rewrite properly as:
[7 * 10^3 * 5.4 * 10^4]/[9 * 10^2]
Evaluate the product of 7 and 5.4
So, we have:
[37.8* 10^3 * 10^4]/[9 * 10^2]
Evaluate the product of 10^3 and 10^4
So, we have:
[37.8* 10^7]/[9 * 10^2]
Evaluate the quotient of 37.8 and 9
So, we have:
[4.2 * 10^7]/[10^2]
Evaluate the quotient of 10^7 and 10^2
So, we have:
4.2 * 10^5
Hence, the expression as a number in scientific notation is 4.2 * 10^5
Read more about scientific notation at
https://brainly.com/question/5756316
#SPJ1
Five more than the quotient of eight and two
Answer:
9
Step-by-step explanation:
a quotient is the result of dividing one number by the other, so we know 8 is being divided by 2
8÷2 is 4
five more just means adding 5
so we are left with 4+5 which =9
Add. −5/6 + (−2 5/8) Enter your answer as a simplified fraction by filling in the boxes.
WILL GIVE BRAINLIEST!!
Answer: [tex]-1 \frac{19}{24}[/tex]
Step-by-step explanation:
5/6 + (−2 5/8)=
5/6 + (−2 - 5/8)=
5/6 −2 - 5/8=
(5/6 −2 - 5/8)*24/24= ==> 24 is the LCM of 6 and 8
[tex]\frac{(5*24/6 -2*24-5*24/8)}{24}[/tex]=
[tex]\frac{(120/6 -48-120/8)}{24}[/tex]=
[tex]\frac{(20-48-15)}{24}[/tex]=
(-28-15)/24=
-43/24 =
(-24-19)/24=
-24/24 -19/24=
-(24/24 +19/24)=[tex]-1 \frac{19}{24}[/tex]
Which equation is correctly rewritten to solve for x? -fx -g = h
To solve for x, the equation -fx -g = h is correctly rewritten as x = -h/f - g/f.
Which equation is correctly rewritten to solve for x?An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given the equation in the question;
-fx - g = h
Solve for x.
To solve for x simply means to make x the subject of the formula or equation.
-fx - g = h
Add g to both side
-fx - g + g = h + g
Negative g and positive g cancels out.
-fx = h + g
Now, divide each term in the equation by the coefficient of x
-fx/-f = h/-f + g/-f
x = -h/f + (-g/f)
x = -h/f - g/f
Therefore, to solve for x, the equation -fx -g = h is correctly rewritten as x = -h/f - g/f.
Learn more about equations here: https://brainly.com/question/9236233
#SPJ1
Solve the inequality.
x+1>3
0 −4 < x < 2
Ox<-4 orx > 2
O-2
O x < -2 or x > 4
Answer:
answer of the first one
x+1>3 equal to x>2 by subtracting 1 from each side
so x>2 equal ]2,infinity[
answer of the second
-4<x<2 so the quantity of x is all the numbers from -4 to 2 but when it be greater than or smaller than without saying or equal we put the brackets opened so the result is ]-4,2[
but i can,t understand 3 and 4
Part A
A video streaming company offers two monthly plans.
Plan A: $3 per video viewed, plus a flat rate of $8 per month
Plan B: $5 per video viewed and no additional flat rate
A. Write an inequality to determine when the cost of viewing n videos using Plan A is less than the cost of viewing n videos using Plan B.
Choose...
Choose...
Choose...
Part B
Plan A is less expensive when
Choose...
.
Greetings from Brasil...
Let Ca be the function for Plan A and Cb the function for Plan B.
According to the problem statement, we can conclude that:
Ca(n) = 3n + 8Cb(n) = 5nwhere C is the cost and n is the number of videos
Cost that the user will pay for having watched n videos
Ca = cost of Plan A
Cb = cost of Plan B
Is there any point (n) that Ca will be equal to Cb??? Let's equate the functions to check if there is a common point and if there is, what would it be.
Ca = Cb
3n + 8 = 5n
2n = 8
n = 4
In n = 4 we have a condition for the cost that does not matter Ca or Cb.
I will present 2 ways to solve:
1 - building the graph of the functions and observing the points where the Y axis (cost axis) its smaller
2 - assigning 2 points - below n = 4 and above n = 4 - to observe the cost behavior
1 - see attachment
2 - let's choose the points n = 1 and n = 10 (as already said, n=4 does not matter Ca or Cb - meeting point / intersection point)
n = 1
Ca(1) = 3.1 + 8 = 11
Cb(1) = 5.1 = 5
Ca > Cb, then Cb better to the user
n = 10
Ca(10) = 3.10 + 8 = 38
Cb(10) = 5.10 = 50
Ca < Cb, then Ca better to the user
We can come to the following conclusion:
0 < n < 4 → better use Plan B (in this interval the cost to the user will be lower with Plan B)
n = 4 → It doesn't matter to use Plan A or Plan B.
n > 4 → better use Plan A (for n above 4 the cost to the user will be lower with Plan A)
The cost to rent a boat is $25 per hour plus a non-refundable $30 deposit
A. write an expression to rent a boat for h hours
B. Evaluate the expression for h=2
Answer:
A. 25h+30=80
B.25(2)+30=80
-11 to the power of 0
What sets of elements does the square root of square root of -10 apply to?
Integer
Real number
Rational
Irrational
Natural
Whole
The square root of - 10 is not a real number but a complex number, an irrational number.
What number set does an element belong to?
Numbers can be classified in real numbers and complex numbers. Real numbers are classified in natural numbers (i.e. 1, 4, 5), whole numbers (i.e. 0, 1, 4, 5), integers (i.e. - 4, -1, 0, 5, 6) and rational numbers (i.e. 5 / 7, 0, - 13 / 3) and part of the irrational numbers (i.e. √3, π) and the rest of irrational numbers are complex numbers (i.e. i 4, - 4 + i 5).
In consequence, the square root of - 10 is not a real number but a complex number, an irrational number.
To learn more on complex numbers: https://brainly.com/question/13504206
#SPJ1
solve the inequality 8 + 3x < 2 + x and 2x + 23 ≤ 11
Answer:
8 + 3x < 2 + x the answer would be x<-3
2x + 23 ≤ 11 the answer would be [tex]x\leq -6[/tex]
1) 8 + 3x < 2
To solve this, you first want to subtract 8 from both sides to isolate 3x on one side.
This gives you 3x < 2 - 8, which can be simplified to 3x < -6.
After you have this, you want to get x on its own. To do this, divide both sides of the inequality by 3 to get x < -6
2) 2x + 23 [tex]\leq[/tex] 11
For this one, we use the same steps. First, subtract 23 from both sides to isolate 2x, giving us 2x [tex]\leq[/tex] 11 - 23, which we simplify down to 2x [tex]\leq[/tex] -12.
From here, we divide both sides of the inequality by 2 to get x on its own. This gives us x [tex]\leq[/tex] -6
One month, a homeowner used 150 units of gas and 520 units of electric for a total of 54.20. The next month he used 210 units of gas and 405 units of electric for a total of 82.35.
I understand the 2 equations are
150g + 520e = 84.20
210g + 405g = 82.35
I dont understand how to get the value of g and e though, like someone said to use 7 to multiply against the first equation and -5 the second, but like where are we getting 7 and -5 from.
The solution to the system of equations is:
e = 0.109
g = 0.183
How to solve the system of equations?Defining the variables:
g = cost of the unit of gas.
e = cost of the unit of electricity.
Then the system of equations is:
150*g + 520*e = 84.20
210*g + 405*e = 82.35
Now we want to solve this.
To do so, we need to isolate one of the variables in one of the equations. Let's isolate g in the first one:
g = (84.20 - 520*e)/150
Now we replace that in the other equation so we get:
210*(84.20 - 520*e)/150 + 405*e = 82.35
Now we can solve this for e:
210*(84.20 - 520*e)/150 + 405*e = 82.35
(210/150)*(84.20 - 520*e) + 405*e = 82.35
117.6 - 728*e + 405*e = 82.35
117.6 - 323*e = 82.35
e = (117.6 - 82.35)/323 = 0.109
Then:
g = (84.20 - 520*0.109)/150 = 0.183
Then we can conclude that:
e = 0.109
g = 0.183
If you want to learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
Mo is sorting number cards with ratios. All of these ratios are equivalent to 3:5. Circle the ratios that are not equivalent.
13:15
30:50
7:9
3x:5x
5:3
Ratios which are not equivalent to 3: 5 are 13: 15, 7:9, 5:3.
As given in the question,
Mo is sorting number cards with ratios
Ratio = 3 : 5
Equivalent ratio to 3 : 5
13 : 15 cannot be reduced.
13 : 15 not equivalent to 3:5
30:50 = (3 ×10) : (5×10)
= 3:5
7:9 cannot be reduced . It is not equivalent to 3:5
3x:5x = 3:5
5:3 reciprocal of 3:5 .It is not equivalent to 3:5.
Therefore, ratios which are not equivalent to 3: 5 are 13: 15, 7:9, 5:3.
Learn more about ratios here
brainly.com/question/13419413
#SPJ1
After a 7.5% pay rise Mr Jones salary was £29455. What was his salary before the pay rise?
Answer:
£27400
Step-by-step explanation:
The original salary of x.
The raise was 7.5% = 7.5/100 = 0.075 of the salary.
The original salary plus the raise is x + 0.075x = 1.075x.
The new salary is £29455.
Therefore,
1.075x = £29455
Divide both sides by 1.075.
x = £27400
Answer: £27400
Help me please I will mark the person as a brainliest.
Answer:
200 km/hr
Step-by-step explanation:
We can find the speed by dividing the distance by the time taken for the trip.
[tex]\sf \boxed{Speed = \dfrac{distance }{time}}[/tex]
[tex]\sf r = \dfrac{300}{t}[/tex]
In the above equation, substitute t = 1.5 hours and find the train's rate.
[tex]\sf r = \dfrac{300}{1.5}\\\\= \dfrac{300*10}{1.5*10}\\\\= \dfrac{3000}{15}\\\\r = 200 \ kilometers \ per \ hour[/tex]
the following is a list of steps for solving a quadratic equation by completing the square. write the correct step number in the blanks. if the leading coefficient is not 1, divide both sides by the coefficient so that the resulting equation has a leading coefficient of 1 . write the equation in the form a x 2 b x
1- if the main coefficient isn't always 1, divide each facets by way of the coefficient so that the resulting equation has a leading coefficient of 1.
2- write the equation within the form ax²+ bx = c
3- write the left aspect of the equation because the rectangular of a binomial and simplify the proper side if possible.
4- add the rectangular of half of the coefficient of the linear time period to both aspects of the equation.
5- practice the rectangular root property for equation and solve as usual.
What do you mean by quadratic?
Quadratics can be defined as a polynomial equation of a second degree, which means that it incorporates a minimum of one time period that is squared. it's also referred to as quadratic equations. the general shape of the quadratic equation is: ax² + bx + c = 0.
To learn more about Quadratics this, visit: https://brainly.com/question/22364785
#SPJ4
Please help due in 20mins
Using the common factors, the expression can be rewritten as follows:
1 / 4 xy (x² + 3y)How to rewrite an expression using common factors?The expression can be represented as follow using common factor.
1 / 4 x³y + 3 / 4 xy²
Using the common factors,
The common factors of 1 / 4 x³y and 3 / 4 xy² is 1 / 4 xy.
Therefore,
1 / 4 x³y + 3 / 4 xy² = 1 / 4 xy (x² + 3y)
Therefore, rewriting 1 / 4 x³y + 3 / 4 xy² using the common factors is 1 / 4 xy (x² + 3y).
learn more on common factors here: https://brainly.com/question/22179235
#SPJ1
I need to find the values of X
Answer:
[tex](f + g)( \times ) = { \times }^{4} [/tex]
If AD=5x+8 and BD=3x-10, what is the length of AB?
A)28
B)148
C)74
D)222
Four times a number, subtracted from 8, is twice the number. Find the number.
Answer:
3/4 or 0.75
Step-by-step explanation:
8-4x=2x
-4x-2x=-8
-6x=-8
x=-6/-8
=3/4 or 0.75
A cylinder has a surface area of about 221.1 square meters and a height of
7.8 meters. What is the approximate radius of the cylinder?
OA. 3.2 meters
OB. 4.5 meters
OC. 2.1 meters
OD. 6.4 meters
The approximate radius of the cylinder is 4.5m
Surface area of cylinderThe formula for calculating the surface area of cylinder is expressed as:
SA = 2πr(r+h)
where
r is the radius
h is the height
Given the following parameters
SA = 221.1 square meters
height = 7.8m
Substitute
221.1= 2(3.14)r(r+7.8)
221.1 = 6.28r^2 + 15.6r
Factorize to have
6.28r^2 + 15.6r - 221.6 = 0
On factoring, the value of the radius is 4.5 meters
Learn more on surface area of cylinder here: https://brainly.com/question/76387
#SPJ1
Answer:
the answer is A
Step-by-step explanation:
I hope it helps you
HELPP PLEASE IVE STAYED UP ALL NIGHT TRYING TO FIGURE THIS OUT!!!!
In the diagram, points A, B, C, and D are collinear, points C, X, Y, and Z
are collinear, AB = BC = CX = YZ, AD = 54, XY = 22, and XZ = 33. Find
the indicated length.
Based on the segment addition postulate, we have:
19. AB = 11
20. BD = 43
21. CY = 33
22. CD = 32
23. XC = 11
24. CZ = 44
25. ST = 24
26. AC = 20
How to Apply the Segment Addition Postulate?Given the following:
AB = BC = CX = YZ
AD = 54
XY = 22
XZ = 33
Applying the segment addition postulate, we would have the following:
19. AB = YZ
YZ = XZ - XY
Substitute
YZ = 33 - 22
YZ = 11
AB = YZ = 11
AB = 11
20. BD = AD - AB
Substitute
BD = 54 - 11
BD = 43
21. CY = XY + CX
CX = AB = 11
Substitute
CY = 22 + 11
CY = 33
22. CD = AD - 2(AB)
CD = 54 - 2(11)
CD = 32
23. XC = AB = 11
XC = 11
24. CZ = CX + XY + YZ
CZ = 11 + 22 + 11
CZ = 44
25. 4x + 12x = 32 [segment addition postulate]
16x = 32
x = 2
ST = 12x = 12(2)
ST = 24
26. 14 + 3x - 4 = 4x + 4 [segment addition postulate]
10 + 3x = 4x + 4
10 - 4 = 4x - 3x
6 = x
x = 6
AC = 4x + 4 = 4(6) - 4
AC = 20
Learn more about the segment addition postulate on:
https://brainly.com/question/2134445
#SPJ1
find the exact trigonometric ratios for the angle x whose radian measure is given. (if an answer is undefined, enter undefined.) 27???? 4
The exact trigonometric ratios for the angle x is second quadrant.
Given Radian equals to θ = 27π / 4, we need to find all the Trigonometric ratios for the same -
Lets calculate the value of θ first.
We know π equals 180 degree angle and 2π equals 360 degree, hence with each 2π the radian moves back to zero degree. Which means
θ = 27π / 4 can be reduced to θ = 3π / 4
Hence θ = 135 degree which can be represented as below -
As This lies in second quadrant, hence on x-axis (Value of base , needs to be taken as -1)
sin θ = 1/√2 cosec θ = √2
cos θ = -1/√2 sec θ = - √2
tan θ = -1 cot θ = - 1
What is trigonometric ratios?Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
To learn more about trigonometric ratios, visit:
https://brainly.com/question/1201366
#SPJ4
What is the value of the expression below when x=7
The value of the expression when x = 7 is 70
What are algebraic expressions?Algebraic expressions are expressions made up of variables, terms, coefficients, factors and constants.
They are also made up of mathematical operations such as addition, multiplication, division, subtraction, etc.
Given the expression;
2x^2- 5x - 3
To determine the the value, we substitute the value of x a 7 into the expression, we have;
2(7)² - 5(7) - 3
expand the bracket
2(49) - 25 - 3
98 - 25 - 3
Find the difference
70
Thus, the value of the expression when x = 7 is 70
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
nth term of the sequence 9 6 3 0 -3 -6
Answer:
-3n+12
Step-by-step explanation:
Term to term rule:
9-6=3
6-3=3
3-0=3
term to term rule is -3
-3 x n + 9 - (-3)
-3n + 12
HELP MEEEEEEEE I WILL GIVE BRAINLIST 2 AND EXTRA POINTS
why do 3 wholes 1/2- 4 wholes 7/8 = 3/8
PLEASE HELPPPPPPPPPP
3 1/2 subtracted from 4 7/8 is equal to 3/8.
What is the value of the subtraction?A fraction is a quantity that is not a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below. An example of a fraction is 1/2.
A mixed number is a number that has a whole number and a proper fraction. A proper fraction is a fraction is which the numerator is less than the denominator. An example of a mixed number is 3 1/2.
Subtraction is the mathematical operation that is used to determine the difference of two or more numbers. The sign used to represent subtraction is -.
[tex]3\frac{1}{2} - 4\frac{7}{8}[/tex]
[tex]-1\frac{4 - 7}{8}[/tex]
[tex]-1\frac{-3}{8}[/tex] = 3/8.
To learn more about subtraction of fractions, please check: https://brainly.com/question/915789
#SPJ1
HELP ASAP
True or false:
per gallon, the cost of all the ingredients in your stew is $2.76. you consistently sell 57 gallons of stew per week for $435.98 in total sales. what is your food cost percentage?
The cost percentage is 3.61 %.
A cost is the worth of money that has been expended in the production or delivery of a good or service and is therefore no longer accessible for use in accounting, retail, research, or accounting.
A percentage is calculated by dividing a value or a number by its sum, then multiplying the result by 100. The percentage calculation formula is ( value / total value) × 100%.
The cost of all ingredients mixed in the stew is $2.76.
The total sales is $435.98.
57 gallons of stew are sold per week.
Therefore, the total sales per week is
= $2.76 × 57 = $157.32
Hence, the cost percentage of food is:
= ( 2.76 × 57 ) / 435.98
= 157.32 / 435.98
= 0.361
= 3.61 %
The cost percentage of the food is 3.61 %.
Learn more about cost percentage here:
https://brainly.com/question/809966
#SPJ4
The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone. The formula for the surface area S of a right cone is S=πr2+πrl, where r is the radius of the base and l is the slant height. Find the height of the cone.
The height of this cone is 3( 1 + [tex]\frac{l}{r}[/tex] ). Which have the same volume and surface area.
Given that
The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone.
The formula for the surface area S of a right cone is S=πr2+πrl, where r is the radius of the base and l is the slant height.
To find
The height of the cone.?
So, according to the question
We have,
The surface area of the cone = The volume of the cone.
We know that
The surface area of the cone,
S = πr²+πrl
And,
The volume of the cone,
V = [tex]\frac{1}{3} \pi r^2h[/tex]
So, from question
The surface area of the cone = The volume of the cone
S = V
Now, put the all values,
πr²+πrl = [tex]\frac{1}{3} \pi r^2h[/tex]
πr(r+ l) = [tex]\frac{1}{3} \pi r^2h[/tex]
(r+l) = [tex]\frac{1}{3}[/tex] × [tex]\frac{\pi r^2h}{\pi r}[/tex]
(r+l) = [tex]\frac{1}{3}[/tex] × rh
[tex]\frac{3(r+l)}{r}[/tex] = h
h = 3( [tex]\frac{r}{r} + \frac{l}{r}[/tex] )
h = 3( 1 + [tex]\frac{l}{r}[/tex] )
So the height of this cone is 3( 1 + [tex]\frac{l}{r}[/tex] ).
To learn more about surface area of the cone and volume of the cone, please click on the link:
https://brainly.com/question/27807548
#SPJ9
It’s probs easy but help pls
Answer:
frequency =12 and mass x (kg)=20<=x<30If BE−→ bisects ∠ABD and m∠ABD = 62°, find m∠ABE.
Answer:
31°
Step-by-step explanation:
A bisector splits an angle into two congruent parts.
W ALL STEPS!
2(x-8) + 4x = 6(x-2)-4
All numbers to the equation 2(x-8) + 4x = 6(x-2)-4 are solutions.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
2(x-8) + 4x = 6(x-2)-4
On further solving
2x- 16 + 4x = 6x - 12 -4
2x + 4x -6x = -12 -4 +16
6x -6x = 0
6x = 6x
As, both sides are equivalent, all numbers are solutions.
Hence, All numbers are solutions.
Learn more about equation here:
https://brainly.com/question/24414201
#SPJ1