7.5 × 10¹⁸
In order to transform in standard form / scientific notation.Count the zeros in a number.
the first number should be an absolute value like: a * b^10thus in scientific notation: 7.5 × 10¹⁸
another example:
number: 650,000,000 scientific notation: 6.5 × 10⁸For his art project, Alan needs to paint the outer surface of a six-sided rectangular box. If the box has a length of 4 ft, a width of 3 ft, and a height of 2 ft, how much total surface area will Alan need to paint?
Answer:
52 ft squared
Step-by-step explanation:
1. Draw the picture with measurements
2. Decompose each shape
3. Find the area of each (l*w)
4. Add each measurement up
Which of the following is the solution to |x|+5<1
Answer: No solutions
Step-by-step explanation:
|x|+5<1
Subtract 5 from both sides.
|x| < -4
No solutions is possible
The equation of the like below is y=1/2x-2
Which is the equation of the line that is perpendicular to ab and passes through the point a?
Answer:
y = -2x + 3
Step-by-step explanation:
Lines that are parallel have equal slopes but lines that are perpendicular have slopes that are opposite reciprocals. The slope of the given line is [tex]\frac{1}{2}[/tex] so the slope of all perpendicular lines will be - 2. The new line must pass through the point A(2, -1). Using the formula y = mx + b and replacing y with -1 and m with -2 and x with 2 gives -1 = -2(2) + b. This will simplify to -1 = -4 + b. Adding 4 to both sides gives 3 = b so the equation is y = -2x+3.
Simplify the following expression (3x^2-11x-4)-(x-2)(2x+3)
Answer:
[tex]x^2-10x+2[/tex]
Step-by-step explanation:
Given the following question:
[tex](3x^2-11x-4)-(x-2)(2x+3)[/tex]
To find the answer we need to simplify by using inverse operations and of course grouping like terms.
[tex](3x^2-11x-4)-(x-2)(2x+3)[/tex]
[tex]3x^2-11x-4-\left(x-2\right)\left(2x+3\right)[/tex]
[tex]\left(x-2\right)\left(2x+3\right)=-2x^2+x+6[/tex]
[tex]3x^2-11x-4-2x^2+x+6[/tex]
[tex]3x^2-2x^2-11x+x-4+6[/tex]
[tex]-4+6=2[/tex]
[tex]3x^2-2x^2-11x+x+2[/tex]
[tex]3x^2-2x^2=x^2[/tex]
[tex]x^2-11x+x+2[/tex]
[tex]11x-x=10x[/tex]
[tex]x^2-10x+2[/tex]
Your answer is "x^2 - 10x + 2."
Hope this helps.
8x - 3 =33 as a decimal
Answer:
x=4.5
Step-by-step explanation:
8x-3=33
8x=36
x=4.5
Answer:
4.5
Step-by-step explanation:
8x-3=33
8x-3+3=33+3
8x=36
8x/8=36/8
x=4.5
Hope this helps! Pls give brainliest!
What is the relationship between peace and Development
What is the name of the property given below ? If ab = 0 then a = 0 , b = 0 or both a = 0 and b = 0 . A. Zero property B. Distributive property O C. Zero product rule D. Commutative property
Answer:
c. zero product rule
Step-by-step explanation:
apex
PLEASE HELP!!!!! All my points Picture below
Answer:
19. 13
20. 6
21. 12
Step-by-step explanation:
Each of the equal sides of an Isosceles Triangle is 4 times the third side. The perimeter of the triangle is 144 inches. Find the sides of the Triangle.
Answer:
16 + 64 + 64 are the 3 sides.
Step-by-step explanation:
There are two sides that are 4 times the third side.
Let the 3rd side = x
4x + 4x + x = 144 inchines
9x = 144 inches
x = 144/9
x = 16 inches.
So the base (which is the smallest side) = 16 inches.
One of the two sides remaining is 4x = 4*16 = 64
The other side = 64
Check
64 + 64 + 16 = 144 as it should.
Answer:
Step-by-step explanation:e
1 2 3 4 5 6 7 8 9 10 TIME REMAINING 52:29 There are two routes Lucas can take to walk to school. Route A is 2 and StartFraction 1 over 8 EndFraction miles and is StartFraction 3 over 8 EndFraction mile longer than route B. The equation b + StartFraction 3 over 8 EndFraction = 2 and StartFraction 1 over 8 EndFraction can be used to represent this situation, where b is the length of route B. How many miles will Lucas walk if he takes route B?
Answer:
Lucas will walk [tex]1\frac{3}{4}[/tex] miles if he takes route B
Step-by-step explanation:
Length of route A = [tex]2 \frac{1}{8} miles[/tex]
Length of route A [tex]=\frac{17}{8} miles[/tex]
We are given that route A is 3/8 mile longer than route B
Let b be the length of route B
So, [tex]b+\frac{3}{8} =2 \frac{1}{8} \\b+\frac{3}{8} =\frac{17}{8}\\b=\frac{17}{8}-\frac{3}{8}\\b=\frac{14}{8}\\b=\frac{7}{4}\\b=1\frac{3}{4}[/tex]
Hence Lucas will walk [tex]1\frac{3}{4}[/tex] miles if he takes route B
Juan has scores of 85, 83, and 93 on three math
tests. What is Juan’s average test score on these
math tests?
Answer:
80.5
Step-by-step explanation:
to find average you need to first added all your number then divide by how much numbers you added
I rlly need help on this
Answer:
what the question
Step-by-step explanation:
7-40 = -5-8
Answer plz!
Answer:
Well if you are trying to say if they are the same then no
Step-by-step explanation:
-33≠-13
Hope this helps!
B is the midpoint of AC, AB = 5x and BC = 3x + 4. Find the length of AC
O 2
010
0 20
Answer: 20 (Option C)
Step-by-step explanation: Since B is the midpoint, Just set 5x and 3x+4 congruent to eachother. After you find out x ( which is 2) just plug it in and add them to get AC.
Do you guys know what the answer is ? Please I need help
Answer:
I believe it would be steepness only.
Please let me know if I'm incorrect :)
What is the smaller angle of (x+20) (5x+10)
Answer:
Step-by-step explanation:
WILL MARK BRAINLIEST IF CORRECT PLEASE ANSWER!!!!
Square GHIJ circumscribes circle K. Find the area of the shaded region. Round your answer to the nearest tenth if necessary.
Answer:
13.7
Step-by-step explanation:
I just did the problem
Solve the equation -6 + 6n = 42 for n. A. -6
B. 2
C. 6
D. 8
Answer:
D. [tex]\displaystyle 8[/tex]
Step-by-step explanation:
[tex]\displaystyle -6 + 6n = 42 \hookrightarrow \frac{48}{6} = \frac{6n}{6} \\ \\ \boxed{8 = n}[/tex]
*We add six to both sides, then divide the remaining result by six, to get eight.
I am joyous to assist you at any time.
Hey there!
-6 + 6n = 42
6n - 6 = 42
ADD 6 to BOTH SIDES
6n - 6 + 6 = 42 + 6
CANCEL out: -6 + 6 because it gives you 0
KEEP: 42 + 6 because it help solve for the n-value
NEW EQUATION: 6n = 42 + 6
SIMPLIFY IT!
6n = 48
DIVIDE 6 to BOTH SIDES
6n/6 = 48/6
CANCEL out: 6/6 because it give you 1
KEEP: 48/6 because it help solve for the n-value (it actually give you the n-value)
NEW EQUATION: n = 48/6
SIMPLIFY IT!
n = 8
Therefore, your answer is: Option D. 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other. each cracker measures 2 inches in length by one and one-half inches in width. the volume of the column is 15 inches cubed. if there are 40 crackers in the column, what is the height of each individual cracker? startfraction 3 over 40 endfraction inch one-eighth inch one-fifth inch three-eighths inch
The height of each individual cracker is one-eighth inch. Then the correct option is B.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other.
Each cracker measures 2 inches in length by one and one-half inches in width.
The volume of the column is 15 inches cubed.
If there are 40 crackers in the column
The height of the cracker will be
[tex]\rm h = \dfrac{15}{1.5*2}\\\\h = 5[/tex]
The height of each individual cracker will be
[tex]\rm h_c = \dfrac{5}{40}\\\\\\h_c = \dfrac{1}{8}[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
Answer:
BStep-by-step explanation:
is the answer
The mean mass of a dairy cow is 634.5 kg with a standard deviation of 64.2 kg. A sample of 50 cows is obtained. Find the probability that the mean mass of the sample is at least 640 kg
Answer:
oh hun is 640kg stupid cow
Step-by-step explanation:
What is the volume of the rectangular prism?
3 inches
11 inches
6 inches
Answer:
198
Step-by-step explanation:
3x11x6=
G
What is the value of -
IT
Emil is inviting 7 friends to a party. Each friend wants 5 cookies and each box has 12 cookies. How many boxes should Emil get?
Answer:
3 boxes.
Step-by-step explanation:
Solution,
Given,
The number of cookies : 7 × 5 = 35
Now,
The total number of cookies to cookies per box 35 ÷ 12 = 2.9 box
= 3 boxes.
is 5/16 rational or
irrational
Answer:
Rational.
Step-by-step explanation:
It can be represented as a fraction
Mileage Abilene Dallas El Paso Lubbock San Antonio Abilene 185 447 165 261 Dallas 185 633 351 277 El Paso 447 633 344 558 Lubbock 165 351 344 394 San Antonio 261 277 558 394 Find the distance from San Antonio to El Paso. 344 mi 633 mi 261 mi 558 mi
Why are first time home buyers, on average, only able to pay around 5% for a down payment on a house?
Answer:
They don't have enough money to pay the full price so they have no option but to pay what they have in their saving account. Also as a first down payment its allowed to start from 3% and up. The much down payment the lower they will pay every month.
Step-by-step explanation:
PLEASE HELP ASAP!!!
1) what is the measure of <4? Explain
2) what is the sum of the measures of angles in a triangle?
3) <1 is in a triangle <4 and 53 angle. What is the sum of those two angles?
4) what is the measure of <1 explain
5) find the measure of <2 explain how you found it
6) what is the measure of <3 explaining
I will give Brainlist!!!
Answer:
1. 90 degrees because of supplementary angles
2. 180 degrees
3. 90 degrees
4. 37 degrees, since the sum of the interior angles add to 180, 180-90-53 = 37.
5. 127 degrees, supplementary angles 180-53
6 . 23 degrees, use the triangle sum theorem 180-30-127
If m∠16=57°, and m∠20=39°, calculate m∠11
Check the picture below.
The ordered pairs in the table below represent a linear function.
х
6
9
y
2
8
What is the slope of the function?
1
1
O
O 2
O 4
E the anwser is c
Step-by-step explanation:Finding Slope from a Table Worksheet Step-by-Step Example. 1 Find the change in the y-values by subtracting from one row to the next. 2 Find the change in the x-values by subtracting from one row to the next. 3 Divide the difference in the y-values by the difference in the x-values.
The half-life of a radioactive kind of antimony is 4 days. How much will be left after 12 days,
if you start with 7,600 grams of it?
22
grams
Time
elapsed
Submit
01
16
The mass of the substance left after 12 days is 501.51g.
Data;
Half life = 4 daystime = 12 daysNo = 7600Half - LifeThis is defined as the time taken for the radioactive sample to decay to half it's initial size.
This is given as
[tex]T_\frac{1}{2} = \frac{\ln 2}{\lambda}[/tex]
where
λ = disintegration constantLet's substitute the values and find the disintegration constant
[tex]T_\frac{1}{2} = \frac{\ln 2}{\lambda} \\4 = \frac{0.693}{\lambda} \\\\\lambda = \frac{0.693}{4}\\ \lambda = 0.17325[/tex]
But the value of a radioactive substance present at a given time is
[tex]N_t = N_o e^-^\lambda ^t[/tex]
Let's substitute the values and solve.
[tex]N_t = 7600 e^-^0^.^1^7^3^2^*^1^2\\N_t = 7600 * 0.065988\\N_t = 501.509g[/tex]
The mass of the substance left after 12 days is 501.51g.
Learn more on radioactivity here;
https://brainly.com/question/2320811