Answers
Answer:
[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]
[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]
[tex]\sf 3.78\times 10^{4}[/tex]
Step-by-step explanation:
Scientific notation: [tex]\sf a \times 10^b[/tex]
(where [tex]\sf 1 \leq |a| < 10[/tex] and b is the power of 10 required so that the notation is equivalent to the original number)
Move the decimal point back 13 places then multiply by [tex]\sf 10^{13}[/tex]:
[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]
Move the decimal point back 8 places then multiply by [tex]\sf 10^{8}[/tex]:
[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]
Divide the total debt by the population to calculate how much each person would owe if the debt was divided equally among everyone in the US:
[tex]\sf \dfrac{11,600,000,000,000}{307,000,000}=\dfrac{1.16 \times 10^{13}}{3.07 \times 10^{8}}=\dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}[/tex]
Apply exponent rule [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]\sf \dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}=0.3778501629... \times 10^{13-8}[/tex]
[tex]\sf =0.378\times 10^{5}[/tex]
[tex]\sf =3.78\times 10^{4}[/tex]
(remembering that the first part "0.378" needs to be equal to or greater than 1, but smaller than 10)
Related Questions
Ted needs 2500 metres of lighting cable for a job. What is this length in kilometres?
Answers
Answer:
2.5km
Step-by-step explanation:
1000m=1km
We have 2500m
2500m=2.5km
You are mixing two kinds of candy to make 10 pounds of a mixture worth $5.50 per pound. One kind is $6 per pound and the other is $4 per pound. How many pounds of each should you use? Show all your work.
Answers
Answer:
5.60 pounds each
Step-by-step explanation:
This is the dry mixture problem.
Let x = the number of pounds of the first type of candy
Therefore, number of pounds of second type of candy = 10-x
Value of first candy + value of second candy = value of mixture
Value of any candy = cost per pound of candy * weight of candy
Thus:
4x + 6(10 - x) = 5.60(10)
4x + 60 - 6x = 56
-2x + 60 = 56
-2x = -4
x = -4/-2
x = 2
Therefore, the number of pounds of first type of candy = 2 pounds
The number of pounds of second type of candy = 10 - 2 = 8 pounds
Check
$4(2) + $6(8) =
8 + 48 = $5.60(10)
$56 = $56
how many boxes of enelopes can you buy with $12 if one box cost $3?
Answers
Answer:
Total cost = $12 (Cost of the box) x (Number of boxes) = (Total Cost) ($3)x(n) = ($12) 3n = 12 3n 3 = 12 3 to isolate the n divide by 3 on both sides n = 4 You can buy 4 boxes with $12 if the boxes cost $3 each.
Step-by-step explanation:
Answer:
you can buy 4 boxes hope it helps
Step-by-step explanation:
Write these numbers in order of size. Start with the smallest number. 3007 4435 399 4011 3333
Answers
Hey there!
Let's write all these numbers in order.
First, all numbers here are 4-digit numbers, except 1 (it's a 3-digit number)
So the smallest number is the 3-digit number.
399
Now, what's next?
let's check the thousands place (the first digit in the 4-digit numbers)
We see 3, 3, 4 and 4.
3 is smaller than 4.
Now we have 2 numbers: 3007 and 3333.
Well, which one's smaller? that's right, 3007.
So we have
399, 3007.
The third number is 3333 (the thousands place is 3)
so we have
399, 3007, 3333
Now, we have 2 numbers left, and they have a 4 in their thousands place.
The numbers are: 4011 and 4435.
Well, which one's smaller? that's right, 4011, and the greatest number is 4435.
Hence, we have
[tex]\boxed{\boxed{\bold{399,~3007,~3333,~4011,~4435}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
An object is thrown upward from the top of 96-foot building with an initial velocity of 80 feet per second. The height h of the object after t seconds is given by the quadratic equation h=16t^2+80t+96. When will the object hit the ground?
Answers
The function of the object height is an illustration of a projectile motion
The object will never hit the ground
How to determine when the object hits the ground?
The function is given as:
h=16t^2+80t+96.
When the object hits the ground, h = 0
So, we have:
16t^2+80t+96 = 0
Divide through by 16
t^2+5t+6 = 0
Expand
t^2 + 3t + 2t + 6 = 0
Factorize
t(t + 3) + 2(t + 3) = 0
Factor out t + 3
(t + 2)(t + 3) = 0
Solve for t
t = -2 or t = -3
The time (t) cannot be negative.
Hence, the object will never hit the ground
Read more about projectile motion at:
https://brainly.com/question/1130127
Answer:
6
Step-by-step explanation:
did this question in savvas
Need help picture below
Answers
Write an algebraic expression for the following: 17 more than a number.
Answers
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
Let the number be x
Then,the algebraic expression formed is
[tex] \large \purple{ \boxed { \rm{x + 17}}}[/tex]
It states that you need to write it as 17 more than x This means 17 added on to x .[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Answer:
x+17
Explanation:
Adding more characters. 'A number is x variable, add 17.. x+17
In a basketball game, Shawna made 8 baskets, each worth 3 points.
Daryl made the same number of points in the game but made only baskets worth 2 points.
How many baskets did Daryl make?
A.
6 baskets
B.
9 baskets
C.
12 baskets
D.
24 baskets
Answers
Answer: Shawna made 8 baskets worth 3 which mean it's 24. if Daryl made the same shots but worth 2 it would equal 16 . 8 x 2=16
Step-by-step explanation: I can see that 16 is not an answer choice so but if they mean that 2 was taken off of 8 then 6x2=12 so 12 would be your answer. hope this helped :)
please answer my question I will mark BRAINLIEST
With explanation please of all
Answers
Answer:
See below ↓
Step-by-step explanation:
11)
AB = AC [as angles opposing them are equal]AB = 4 cmB is the answer12)
x/2 = 9/3 [they are in proportion across the transversal]x = 2 x 3x = 6C is the answer13)
Let the missing side lengths (which are equal) be xx² + x² = (2√2)²2x² = 8x² = 4x = 2 [length is always positive]A is the answerThere is a rule on Brainly which states you can only answer 3 questions maximum per post.
So I can only help with you this much.
Hope this helped~
Answer:
Its me Viktor Kozhanov may I have brainliest please
I also answered all you questions so give brainliest to those
as well
Step-by-step explanation:
How many solutions does this system have?
y=-3x
-9x-4y = 21
one
two
an infinite number
no solution
Answers
Probability and statistics
Answers
Probability and statistics are two branches of mathematics that are used to calculate the possibility of occurrence of an event or trend of data.
What is probability?Probability is a term to refer to the science that studies the measurement of the certainty of occurrence of an event. Generally, the probability of occurrence is associated with a value between 0 and 1, where an impossible event corresponds to zero and a certain event corresponds to one.
What is statistics?Statistics is a term to refer to a branch of mathematics that studies different phenomena related to data such as:
VariabilityCollectionOrganizationAnalysisInterpretationPresentationAnother outstanding aspect of statistics is that it is a formal deductive science framed in the formal scientific method.
Learn more about statistics in: https://brainly.com/question/8058700
a rectangular garden is 1.25 meters wide and 3.4 meters long. what is the area of the garden?
Answers
Area = length x width
Area = 1.25 x 3.4 = 4.25 square meters
HELP PLEASE ITS DUE TODAY
Answers
The Sun appears so large compared to the other stars because it is so much closer to us than any other star. The Sun is just an average sized star.
Look at the image below. What is the area of the triangle? units
Answers
Answer:
7 Units^2
Step-by-step explanation:
If we add an exact copy of the triangle, we can make a parallelogram.
Then we can use the parallelogram's area to figure out the triangle's area.
Hint #22 / 4
The original triangle has \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction the area of the parallelogram we just made.
Hint #33 / 4
\begin{aligned} \text{Area of parallelogram} &= \text{base} \times \text{height}\\\\ \text{Area of triangle} &= \dfrac{1}{2} \times \text{base} \times \text{height}\\\\ &= \dfrac{1}{2} \times 7 \times 2\\\\ &= \dfrac{1}{2} \times 2 \times 7\\\\ &= 1 \times 7\\\\ &= 7 \end{aligned}
Area of parallelogram
Area of triangle
=base×height
=
2
1
×base×height
=
2
1
×7×2
=
2
1
×2×7
=1×7
=7
Hint #44 / 4
The triangle has an area of 777 units^2
2 squared.
The area of the triangle is 7 square units if the height of the triangle is 2 units, and base length is 7 units.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle shown in the figure:
The base length = 7 units
The height of the triangle = 2 units
Area of the triangle = (7x2)/2
= 7 square units
Thus, the area of the triangle is 7 square units if the height of the triangle is 2 units, and base length is 7 units.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ2
Complete the table by filling in the elapsed tine.
Help pls
Answers
Answer:
RADIUS
==================================
PROBLEM
Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?
SOLUTION
We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.
\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr
\tt{226.08 = 2(3.14) r}226.08=2(3.14)r
'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.
\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}
C=2πr
226.08=2(3.14)r
6.28
226.08
=
6.28
6.28r
C=36
To check:
\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}
circumference
C=2πr
C=2(3.14)(36cm)
C=2(113.04cm)
C=226.08cm
FINAL ANSWER
If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.
\boxed{ \tt \red{r = 36}}
r=36
==================================
#CarryOnLearning
Answer:
1 = 0.56
2 = 0.43
3 = 0.55
4 = 0.49
5 = 0.70
Step-by-step explanation:
I not sure
The number 9 is a common factor of _________.
A) 6 and 9
B) 9 and 36
C) 16 and 27
Answers
Answer:
Step-by-step explanation:
B) 9 and 36
================================================
9 is a common factor of
9 and 36.
Here's why:
6 is not evenly divisible by 9
16 is not divisible evenly by 9 (it is divisible by 8)
All the other numbers are divisible by 9.
=============================================
note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer. :)
design an instructional activity that could help learner's recognise the decimal fractions can be applied across environmental situation relating to activities in real-life
Answers
An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block.
What is an instructional activity?Instructional activities are routine segments of instruction that show how the teacher and students will participate and interact with materials and content.
An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block. For example, if one wants to teach students about fractional parts that are divided equally into twelfths, the analog clock can be ideal.
Learn more about fractions on;
https://brainly.com/question/78672
Determine whether AB¯¯¯¯¯¯¯¯
A
B
¯
is a diameter of the circle. Explain your reasoning.
Answers
Answer: D
Step-by-step explanation:
The shared side and sides AC and AD are congruent, as well as the included angles, so the triangles are congruent. This means that by CPCTC, segments BC and BD are congruent, and thus AB bisects CD. Therefore, AB is a diameter.
The side of a goal in soccer is the shape of a right trapezoid. The dimensions are shown below. What is the area of the net needed for both sides of the goal? Чft 8 ft 10 ft
Answers
Answer:
[tex]61^{2}[/tex]
Step-by-step explanation:
So area equals {(B+b) x h} / 2 the two bases are 4 and 10 which is 14 the height is 8 so 14 times 8 is 112. 112 divided by 2 is 61. I hope this helps.
Find the value of x. Enter only the number.
Answers
Answer: 5
Step-by-step explanation: These two triangles are similar triangles. Since they are similar, they must be scaled equivalently. The scale factor is 5. To know this, 3 times 5 is 15, and being equivalent, we can figure 5 times 5 is 25. Therefore x is 5. That also means that the scale factor of the smallest triangle to the biggest triangle is 5. Thus, x is 5.
Help help help help ASAP apa
Answers
Answer:
A=49.12
Step-by-step explanation:
The area of the figure=
Area of the triangle + area of the semicircle.
Area of the triangle=
½×the base × the height=
½×6×8=
24ft.
Area of the semicircle=
½πr²=½×3.14×4²=
25.12ft.
Area of the figure=
24+25.12=
49.12ft
A cat weighs8 1/4pounds.
How many ounces does the cat weigh?
Answers
The answer is C 132oz
Answer:
132 ounces
Step-by-step explanation:
1 pound = 16 ounces
8 1/4 x 16 = 132
Find the greatest common factor (GCF) of 12x and 18x3.
Answers
Answer:
the answer to that question is 6x squared.
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
12x and 18x3
first, simplify 18x3
12x and 54x
Now, cancel the x, we'll add it on in the end
12 and 54
Factor it!
(2 * 3 * 2) and (2 * 3 * 3 * 3)
2 and 3 remain common, so multiply = 6
Add on x from before.
6x is the answer.
please help please help please
Answers
light and heat
Step-by-step explanation:
all stars in general produce light and heat
Brian buys a lawn ornament priced at $78. Shipping and handing are an additional 5% of the price. How much shipping and handing will Brain pay?
Answers
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 78}}{\left( \cfrac{5}{100} \right)78}\implies 3.9[/tex]
Evaluate the function when x= -3, 0, and 1.
f(x) = 5 + 5x - 7
Answers
Answer:
f(-3) = -17
f(0) = -2
f(1) = 3
Step-by-step explanation:
f(-3) = 5 + 5(-3) - 7
5 -15 - 7
-10 - 7
=-17
f(0) = 5 + 5(0) -7
5 + 0 - 7
5 - 7
=-2
f(1) = 5 + 5(1) - 7
5 + 5 - 7
10 - 7
=3
If $2,000 is invested at 4% annual interest compounded quarterly, how long would it take for the account balance to reach $10,000? Round your answer to the nearest tenth.
Answers
Answer:
40.2 years
Step-by-step explanation:
Use the compound amount formula A = P(1 + r/n)^(nt), in which n represents the number of compounding periods per year. In this case n = 4. Solve the following equation for t (years):
$10,000 = $2,000(1 + 0.04/4)^(4t):
This is equivalent to
5 = 1.01^(4t). Taking the natural logarithm of both sides, we get:
ln 5 = 4t·㏑ 1.01, or
ln 5 1.609
-------------- = t = -------------- = 40.2 years
4·ln 1.01 4(0.010)
HELLLPP ME PLEASSEEE!!!!!
Consider the two circles shown.
To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about its center by a scale factor of s.
What are the values of t and s?
Show me:
(t) What is the horizontal distance between the center of circle P to the center of circle Q?
(s) What is the scale factor dilating from circle P to circle Q?
Answers
The similar circles P and Q can be made equal by dilation and translation
The horizontal distance between the center of circles P and Q is 11.70 unitsThe scale factor of dilation from circle P to Q is 2.5The horizontal distance between their centers?From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
The scale factor of dilation from circle P to QWe have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
https://brainly.com/question/3457976
Graph the following function:
f(x) = x2 + 5x – 6
Answers
Answer:
The graph is in the image below
Step-by-step explanation:
you can use an online graphing calculator like Desmos to graph questions like this
I'm not sure if the x2 is x^2 but I will assume
percent of students with brown eys
Answers
Answer:
between 55 to 79 percent