Answer:
The scientific notation is [tex]1.7\times 10^{10}[/tex].
Step-by-step explanation:
Consider the provided information.
We need to express 17 billion in scientific notation.
17 billion is: 17,000,000,000
We split the given number into a coefficient and a power of 10.
Move the decimal point of the given number till the coefficient of the given number is greater than 1 and less than 10 and write the power of 10 equal to the number of steps the decimal point was moved.
17 billion in scientific notation = [tex]1.7\times 10^{10}[/tex].
Hence, the required answer is [tex]1.7\times 10^{10}[/tex].
Javon has 1/2 a cup of flour, Sam has 1 1/6 cups of flour, and Antoine has 1 3/4 cups of flour. How many cups of flour do they have all together A. 41/12 B. 17/12 C 2.17 D 2.1712
Charlie bikes 9 miles every day.
Days (d)
1
2
3
4
5
Miles (m)
9
18
27
36
45
Which equation models the situation?
9 = dm
d = 9m
9d = m
d = 9 + m
Answer:
C. 9d=m
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find three solutions to the linear equation 4x+y=20
Answer:
[tex](0,20),(1,16),(2,12)[/tex]
Step-by-step explanation:
[tex]We\ are\ provided\ with\ the\ equation:\\4x+y=20\\In\ order,\ to\ find\ solutions\ to\ a\ linear\ equation\ in\ two\ variables,\ we\\ usually\ substitute\ a\ value\ to\ either\ the\ abscissa or\ the\ ordinate\ to\ get\\ the\ corresponding\ ordinate\ or\ the\ abscissa.\\Hence,\\Here,[/tex]
[tex]Let's\ plug\ in\ simpler\ value's\ of\ 0,1,2\ as\ the\ x-co-ordinate\ to\ obtain\ it's\\ y-coordinate.\\Hence,\\Coming\ back\ to\ our\ equation:4x+y=20\\Substituting\ x=0,\\4*(0)+y=20\\y=20\\Hence,\\x=0,y=20\ or\ (0,20)\ is\ a\ solution\ of\ the\ equation.[/tex]
[tex]Substituting\ x=1,\\4*(1)+y=20\\4+y=20\\y=20-4=16\\Hence,\\x=1,y=16\ or\ (1,16)\ is\ also\ a\ solution\ of\ the\ equation.[/tex]
[tex]Substituting\ x=2,\\4*(2)+y=20\\8+y=20\\y=20-8=12\\ Hence,\\x=2,y=12\ or\ (2,12)\ is\ a\ solution\ of\ the\ equation\ too.[/tex]
[tex]Hence,\ collecting\ all\ the\ solutions\ of\ the\ equations:\\(0,20),(1,16),(2,12)\ are\ all\ solutions\ of\ the\ given\ equation.\\[/tex]
A restaurant borrowed
$15,000 to remodel.
The loan is for 7 years and
the yearly interest rate is
4.25%. How much interest
will the restaurant pay?
Answer:
$4462.50
Step-by-step explanation:
simple interest =principal × rate × time\100
Find the product. Your answer must be in simplest form.
7/8 of 56
Answer:
You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:
56
1
So now that we've converted 56 into a fraction, to work out the answer, we put the fraction 7/8 side by side with our new fraction, 56/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
7 x 56
8 x 1
=
392
8
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 392 and 8 is 8.
We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.
392/8 = 49
8/8 = 1
When we put that together, we can see that our complete answer is:
49
1
The complete and simplified answer to the question what is 7/8 of 56 is:
49
Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.
Step-by-step explanation:
Answer:
forty nine
Step-by-step explanation:
convert 56 into a fraction (56/1) then multiply 7/8 × 56/1. it equals out to 392/8. then find the GCF of 392 and 8, which is 8. now divide boht the new numerator and denominator by 9 to simplify it to lowest terms. 49 is the answer
3/ If f(x) = 2x -5 Find f(x-1)=
Explanation: Here we have function f(x) = 2x - 5
and we're asked to find f(x - 1).
Don't be thrown off if you're asked to plus a variable into a function.
If f(x) = 2x - 5, then f(x - 1) = 2(x - 1) - 5.
Remember to use parenthses when substituting into a function.
So simplifying on the right side, we would distribute the 2
through the parenthses and we have 2x -2 - 5.
Now combining like terms, we have 2x - 7
A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. y = 4x+2, y = 2r+8 What is the value of the smaller number in the mathematical problem?
Answer:
3
Step-by-step explanation:
I got it wrong so then it told me what the correct answer was:)
1.) Multiply 2ab(−a+2b+3).(1 point)
8a2b2
−2a +2ab+3b
8ab
−2a2b+4ab2+6ab
2.) Simplify the polynomial using multiplication.
xy(3x2+2x−3y)
(1 point)
3x3y+2x2y−3xy2
3x3+2xy−3y
2x3y2
3x3+2x2−3y2
The area of a rectangle is given by the expression (x+3)(4x−2). Which of the following is an equivalent expression for the area?(1 point)
13x−2
4x2+14x+6
4x2+10x−6
14x−6
Multiply (x+2)(x2−3x +4)(1 point)
x3+5x2+10x+8
x3−x2−2x+8
x2−2x+6
2x2−6x+8
Simplify the polynomial using multiplication.
−5b(2a−3a2)
(1 point)
−10ba+15ba2
10ba−15ba2
−10a+3ba2
−5b+2a−3a2
Answer:
(x+3)(4x−2) = 4x2+10x−6
(x+2)(x2−3x +4) = x3−x2−2x+8
Step-by-step explanation:
Look/read the picture please!
1) Sarah bought 12 meters of fabric to make a patchwork quilt. If the fabric was on sale for $6.29 per meter, how much did Sarah spend? HELP PLS
Answer:
She spent $75.48
Step-by-step explanation:
multiply the price per meter by the amount of meters she purchased.
Garrett arrived at the train station at 12:35 P.M. His train finally came at 1:30 P.M. How long
did Garrett have to wait for the train?
Answer:
55 minutes
Step-by-step explanation
He started waiting at 12:35 P.M. If we're assuming this is the same day, you're able to add the minutes until you get to 1:00 P.M., which is around 25 minutes. Afterwards, you need to add another 30 minutes to get to the train's time of arrival, which means you should get 55 minutes!
ABCD is a parallelogram, find the value of y
Answer:
33
Step-by-step explanation:
angles A and B should add up to 180, so A must be 40, and because it is a parallelogram the anlge across from it should also equal 40. 33+7=40.
can I get some B plz
Answer:
What do you mean?
Step-by-step explanation:
This is an absolute value problem with LETTERS?! Absolute madness (no pun intended)
Answer:
a
Step-by-step explanation:
sjejeneissbebdejjesj
K/-3 + 3 =-2
Find the estimate of k
Answer:
K= 15
Step-by-step explanation:
K/-3 +3 = -2
Simplify by subtracting 3 on each side:
K/-3 = -2-3
K/-3 = -5
Simplify further by multiplying each side by -3:
K= -5*-3
K = 15
Write a number with 2 decimal places that is bigger than 4 1/5 but smaller than 4.25
will give brainiest
Answer :
11.45
step-by-step explantion :
4.25=17/4
when we add 41/5 and 17/4, we get
41×4+17×5/4×5
164+65/20
229/20
11.45
HELPPPPP PLZZZZ
Which of the following are solutions for 2x ≥ 10? Choose ALL that apply.
Group of answer choices
4
5
6
Answer:
5 and 6
Step-by-step explanation:
5×2=10 equal to
6×2=12 greater than
Write a linear function f with the given values. f(6)=-2, f(0)=-5
Answer:
y = 0.5m - 5
Step-by-step explanation:
the equation of a line can be written as
y = mx + b, with x being the input and y the output
let's plug in our two values.
-2 = m(6) + b
-2 = 6m + b
-5 = 0m + b
-2 = 6m+b
-5 = b
plug -5=b into the first equation
-2 = 6m - 5
add 5 to both sides
3 = 6m
divide both sides by 6
0.5 = m
our function is now
y = 0.5m - 5
Suppose both factors in a multiplication problem are the multiples of 10. Explain why the number of zeros in the product may be different than the total number of zeros in the factors. Include an example.
Answer:
Step-by-step explanation:
Take 20 and 50.
20 * 50 = 1000.
We have the 2 zeros in 20 and 50 , also 2 * 5 = 10, making 3 zeroes.
If z = 1 - square root 3i, what is z^3
Answers
-8
8
-8i
8i
Answer:
[tex]z = 1 - \sqrt{3} i \\ {z}^{3} = (1 - \sqrt{3} i) ^{3} \\ =(1 - \sqrt{3} i)(1 - \sqrt{3} i)(1 - \sqrt{3} i) \\ open \: brackets \\ = (1 - 2 \sqrt{3} i + ( { \sqrt{3} i})^{2} )(1 - \sqrt{3} i) \\ but \: {( \sqrt{3}i) }^{2} = - 3 \: since \: {i}^{2} \: is \: - 1 \: in \: complex \: numbers \\ = (1 - 2 \sqrt{3} i - 3)(1 - \sqrt{3} i) \\ = ( - 2 - 2 \sqrt{3} i)(1 - \sqrt{3} i) \\ = ( - 2 + 2 \sqrt{3} i - 2 \sqrt{3} i + 2( { \sqrt{3} i)}^{2} ) \\ = - 2 - 6 \\ = - 8[/tex]
Answer:
A
Step-by-step explanation:
Edge 2023
which statement is not true of the given diagram?
Explain how to solve 5d = 35
Answer:
D=7
Step-by-step explanation:
SO isolate the variable y dividing 5 on both sides
d=7
Answer: d = 7
Step-by-step explanation:
5d = 35
You have to divide both sides by 5 since we need to isolate the variable 'd' to figure out what d is.
5d ÷ 5 = d
35 ÷ 5 = 7
So d = 7
i'll mark brainliest just tell me how to.
Answer:
a = 12
b = 2
c = 11
Step-by-step explanation:
[tex] \frac{( {x}^{5}y {z}^{4} )^{3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{5 \times 3}y^{3} {z}^{4 \times 3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{15}y^{3} {z}^{12} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{15 - 3} {y}^{3 - 1} {z}^{12 - 1} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{12} {y}^{2} {z}^{11} = {x}^{a} {y}^{b} {z}^{c} \\ \\ equating \: like \: terms \: from \: both \: sides \\ \\ {x}^{12} = {x}^{a} \: \implies \: a = \boxed{ 12}\\ \\ {y}^{2} = {y}^{b} \: \implies \: b = \boxed{ 2} \\ \\ {z}^{11} = {z}^{c} \: \implies \: c = \boxed{ 11}[/tex]
PLZ HELP Will give you brainly if it works
Answer:
The prime number is only 11
11 is the only one i seee
What is the sum of the exterior angles in a regular 15 gon
9514 1404 393
Answer:
360°
Step-by-step explanation:
The sum of exterior angles of any convex polygon is 360°.
Calvin is comparing the growth of two plants. Plant A started at a height of four inches and grows two inches each month. Plant B grew according to this equation, h = 4m + 2, where h, is the height after m, months. At what month will the two plants be the same height?
Answer:
After 1 month, they will have same heights.
Step-by-step explanation:
Calvin is comparing the growth of two plants.
Plant A started at a height of four inches and grows two inches each month.
h'=4+2m
where
h' is height of plant after m months.
Plant B grew according to this equation, h = 4m + 2, where h, is the height after m, months.
We need to find at what month the plants have the same height. ATQ.
h = h'
4+2m = 4m + 2
Taking like terms together,
4-2 = 4m-2m
2=2m
m = 1
Hence, after 1 month, the plants will have same height.
-16x^2 +64x + 60
What is the max height
Answer:
x=5/2,3/2
so 5/2 is the maximum height. (2.5)
Step-by-step explanation:
help me plz
Follow right steps
Here is the answer:
75 - 40 = t
Brainliest pls
Answer:
75=T+40
35
Step-by-step explanation:
75=T+40 subtract 40 from both sides and we get 35
whats the equation of the straight line on this graph
a) y=3x+4
b) y=2x+4
c) y=4x+4
Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourist class. If a flight had 52 passengers who paid $1360, how many first class and tourist class passengers were there?
There were 40 tourist class passengers and 12 first class passengers.
Explanation:
Let the number of passengers who booked for tourist class be
=
x
Then, number of passengers who booked for first class
=
52
−
x
According to question,
Total money paid = $25(tourist class)+$30(first class)
$
1360
=
$
25
(
x
)
+
$
30
(
52
−
x
)
1360
=
25
x
+
1560
−
30
x
1360
−
1560
=
25
x
−
30
x
−
200
=
−
5
x
x
=
−
200
−
5
x
=
40
So, there were 40 tourist class passengers.
Now first class passengers
=
52
−
x
=
52
−
40
=
12
∴
There were 40 tourist class passengers and 12 first class passengers.
As a check
Total money paid = $25(tourist class)+$30(first class)
R
H
S
=
$
25
(
40
)
+
$
30
(
12
)
$
1000
+
$
360
=
$
1360
L
H
S
=
$
1360
Hence verified.