Final answer:
The multiplication of (3.4x10²) and (2x10³) results in 6.8x10⁵ after multiplying the coefficients and adding the exponents. Therefore, the correct answer is option (B).
Explanation:
Considering, the question it has asked to solve the following arithmetic operation in scientific notation: (3.4x10²)x(2x10³).
To solve this the following steps can be used :
we multiply the coefficients (3.4 and 2) and then add the exponents (2 and 3).
Multiplication of coefficients: 3.4 * 2 = 6.8
Addition of exponents: 2 + 3 = 5
Combining both parts: 6.8 x 10^5
The correct answer in scientific notation is therefore 6.8x10⁵, which corresponds with option B.
5Y+2-3(4Y)=0
WHAT DOES THIS EQUAL
Answer: The Y in the problem = 2/7, Good Luck!
Step-by-step explanation:
Simplify both sides of the equation!
Answer:
the answer would be one
Step-by-step explanation:
you simply have to put the question in parts that makes it easy use PEMDAS
it is really helpful on math that looks like this
Use inverse operations to solve the equation. -5x=65
Answer: x=-13
Step-by-step explanation:
X= 65/5
X=-13
Checked work .
-5x=65
-5x-13=65
65=65
the graph of a proportional relationship contains the point 8 and 4 what is the corresponding equation enter your answer as a fraction in simplest form in the box
Answer:
[tex]y=\frac{1}{2}x[/tex].
Step-by-step explanation:
We have been given that the graph of a proportional relationship contains the point 8 and 4.
Since we know that a proportional equation is in form: [tex]y=kx[/tex], where k is constant of proportionality.
Let us substitute x=8 and y=4 in proportional equation to find constant of proportionality for our equation.
[tex]4=k*8[/tex]
Upon dividing both sides of equation by 8 we will get,
[tex]\frac{4}{8}=\frac{k*8}{8}[/tex]
[tex]\frac{4}{8}=k[/tex]
[tex]\frac{1}{2}=k[/tex]
Let us substitute k=1/2 in proportional equation.
[tex]y=\frac{1}{2}x[/tex]
Therefore, our desired equation will be [tex]y=\frac{1}{2}x[/tex].
Which measurement is the most precise? A) 29 cm B) 28.8 cm C) 28.76 cm D) 28.762 cm
Answer:
A
Step-by-step explanation:
It costs 6 tokens to ride a ride at the carnival. If you spent 18 tokens on the ride, which equation could you use to solve for the number of rides, r?
Answer:
yes
6r=18
Step-by-step explanation:
what is the shortest driving distance from the hospital to the gas station?
Answer:
I'm sorry i couldn't understand your question. If you wanna take it litterally, around the world there is gas station that could be 5 minutes, 15 or 30 minute from a hospital. could you clarify me on your question
factor the expression using GCF 6y+3
Answer:
3(2y+1)
Step-by-step explanation:
First we need to find the factors of each term
6y = 2*3*y
3 = 3*1
The greatest common factor is 3. Take that out and what remains goes inside the parentheses
3(2y+1)
I posted this in the math because everyone is here! Please help!
A low level of cardiovascular endurance would likely lead to this health-related problem in a very important muscle:
Anemia
Astigmatism
Heart attack
Osteoporosis
Answer: I believe the answer is C
Step-by-step explanation:
twelve athletes are running a race. a gold medal is to be given to the winner, a silver is to be given to the second place finisher, and a bronze medal is to be given to the third place finisher. assume that there are no ties. in how many possible ways can 3 medals be distributed?
Final answer:
There are 1,320 possible ways to distribute the gold, silver, and bronze medals among twelve athletes with no ties.
Explanation:
The student has asked how many possible ways three medals can be distributed among twelve athletes, assuming there are no ties. This can be calculated using permutations since the order of medals (gold, silver, bronze) matters and each medal can only be given once.
For the gold medal, there are 12 potential athletes, for the silver there are 11 remaining athletes (since one has already received gold), and for the bronze, there are 10 athletes left. Therefore, the number of possible ways to distribute the three medals is:
12 (options for gold) × 11 (options for silver) × 10 (options for bronze) = 1,320 possible ways.
Please help explain
Scott works as a delivery person for a shipping company. The graph shows a linear model for his delivery times on different days.
(a)What is the equation of the line, first written in point-slope form and then written in slope-intercept form? Show how you determined the equation.
(b)Based on the linear model, predict how long it initially took Scott to deliver his packages. Approximately how much did his delivery time decrease per day?
Answer:
y-12= -3(x-6) (point slope form)
y = -3x + 30 ( slope intercept form)
Initial delivery time = 30 minutes
delivery time decreases 3 minutes per day
Step-by-step explanation:
To find equation of line we pick two points from the graph
(3,21) and (6,12)
Point slope form of a line is y-y1= m(x-x1)
m is the slope and (x1,y1) is the point on graph
Lets find out slope m
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{12-21}{6-3} =-3[/tex]
(x1,y1) is (6,12)
Point slope form of a line is y-y1= m(x-x1)
y-12= -3(x-6) (point slope form)
Now we solve for y to get slope intercept form
y-12 = -3x +18
Add 12 on both sides
y = -3x + 30 ( slope intercept form)
(b) To find initial time we plug in 0 for x
y = -3x + 30
y= -3(0) + 30
y=30
Initial delivery time = 30 minutes
Slope is the delivery time decreases per day
We got slope m = -3
So delivery time decreases 3 minutes per day
Answer:
well basically y-12= -3(x-6) (point slope form)
y = -3x + 30 ( slope intercept form)
Initial delivery time = 30 minutes
delivery time decreases 3 minutes per day
Step-by-step explanation:
To find equation of line we pick two points from the graph
(3,21) and (6,12)
Point slope form of a line is y-y1= m(x-x1)
m is the slope and (x1,y1) is the point on graph
Lets find out slope m
(x1,y1) is (6,12)
Point slope form of a line is y-y1= m(x-x1)
y-12= -3(x-6) (point slope form)
Now we solve for y to get slope intercept form
y-12 = -3x +18
Add 12 on both sides
y = -3x + 30 ( slope intercept form)
(b) To find initial time we plug in 0 for x
y = -3x + 30
y= -3(0) + 30
y=30
Initial delivery time = 30 minutes
Slope is the delivery time decreases per day
We got slope m = -3
So now we can say that the delivery time decreases 3 minutes per day! Hope this helps :)
Step-by-step explanation:
the graph of y=x2+11x+24
The graph of [tex]y=x^2+11x+24[/tex] is equivalent to the graph of this equation: A. y= (x + 8)(x + 3)
In Geometry, a factored form is a type of quadratic equation that is typically written as the product of two (2) linear factors and a constant;
f(x) = a(x - r)(x - r)
a is the leading coefficient.
r is the roots or x-intercets.
Based on the information provided, we can logically deduce the following quadratic function;
[tex]y=x^2+11x+24[/tex]
By factorizing the quadratic function above completely, we have the following;
[tex]y=x^2+11x+24\\\\y=x^2+8x+3x+24\\\\y=x(x+8)+3(x+8)\\\\y=(x+8)(x+3)[/tex]
Complete Question:
The graph of [tex]y=x^2+11x+24[/tex] is equivalent to the graph of which equation?
y= (x + 8)(x + 3)
y = (x + 4)(x + 6)
y= (x + 9)(x+2)
y = (x + 7)(x + 4)
As an estimation we are told 5 miles is 8 km.
Convert 34.5 km to miles.
34.5 kilometers is equal to 21.41 miles.
Explanation:To convert kilometers to miles, you can use the conversion factor 1 mile = 1.609 kilometers. So, to convert 34.5 kilometers to miles, you would multiply 34.5 by the conversion factor:
34.5 kilometers × 1 mile/1.609 kilometers = 21.41 miles
Therefore, 34.5 kilometers is equal to 21.41 miles.
Learn more about Converting kilometers to miles here:https://brainly.com/question/34149906
#SPJ12
What is the y-intercept if the line graphed? *please enter your answer as an ordered pair in the form (x,y)*
Which property yields step 2 in the following problem? Step 1: 12(x+4) Step 2: 12x + 48
Answer:
Distributive property
Step-by-step explanation:
12(x+4)
We would use the Distributive property to get to
12x+48
Distributive Property
x(a+b) = ax + bx
What is the slope of the line 3x- 9y=4
Answer:
1/3 is your answer
Step-by-step explanation:
Note that in the slope intercept form, the equation looks like: y = mx + b
Isolate the y. First, subtract 3x from both sides
3x (-3x) - 9y = (-3x) + 4
-9y = -3x + 4
Next, to fully isolate the y, divide - 9 from both siedes
(-9y)/(-9) = (-3x + 4)/(-9)
y = (-3x + 4)/-9
Simplify
y = (1/3)x - 4/9
You're slope of the line (m in y = mx + b) is 1/3
~
Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 \text{ cm}35 cm. What is the distance the hula hoop rolls in 44 full rotations? Round your answer to the nearest \text{cm}cm.
To find the distance the hula hoop rolls in 4 full rotations, we calculate the circumference as 2πr and then multiply by 4. The total distance is then rounded to the nearest centimeter, resulting in 880 cm.
The question asks us to calculate the distance a hula hoop travels in 4 full rotations given its radius. The distance traveled in one rotation is equal to the circumference of the hoop.
To find the circumference, we use the formula C = 2πr, where r is the radius. Since the radius is given as 35 cm, the circumference is 2π×35 cm. To find the total distance for 4 rotations, we multiply the circumference by 4. This gives us 4×2π×35 cm. Using the approximate value of π (3.1416), we can calculate the distance, and then round it to the nearest centimeter.
Circumference C = 2π×35 cm = 219.91 cm
Total distance for 4 rotations = 4×C = 4×219.91 cm = 879.64 cm
Rounded to the nearest centimeter: 880 cm
someone please help me on my math 2 of them are on my page. thanks:)
Answer:
I will but there are no problems/questions shown
Step-by-step explanation:
Emily baked 3 batches of sugar cookies each. She ate 2 of the cookies and gave 10 of them to her neighbor. In return, her neighbor gave her half of a batch of a dozen chocolate chip cookies. How many cookies does Emily have.
Answer:
The answer is 198.
Step-by-step explanation:
First you need to know how much is a batch of cookies which is 60. Since she made 3 batches that means you will need to multiply 3 by 60, which will give you 180 cookies. Next you will need to add 2 to 10 because thats how much were took. That equals 12. Subtract 12 from 180 and that will give you 168. Last but not least you will need to add 30 because that is half the batch of cookies her neighbor gave to her. So 168 plus 30 equals 198.
Answer:
198
Step-by-step explanation:
source = trust me bro
What is 1/3 of 24???????
Answer: 8?
Step-by-step explanation:
A classmate is 22 years younger than your instructor. Write an equation that will determine your classmate’s age (y) if given your instructor’s age (x). Use this equation to determine your classmate’s age.
Hey there, we are given quite a lot of information in this problem. First of all, let's make an equation.
y = x - 22
where y = student's age
where x = instructor's age
this equation is correct because x(instructor) - 22 will yield the student's age (y).
If the instructor were 44 years old, the student would be 22 years old.
y = 44 - 22
y = 22
If the instructor were 66 years old, the student would be 44 years old.
y = 66 - 22
y = 44
Simplify 7/9 • 3/4 • 2/7
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]\frac{7}{9}[/tex] × [tex]\frac{3}{4}[/tex] × [tex]\frac{2}{7}[/tex]
the 7 on the numerator/ denominator cancel to 1
the 3 and 9 cancel ( 3 → 1 and 9 → 3 )
the 2 and 4 cancel ( 2 → 1 and 4 → 2 )
= [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{1}[/tex]
multiply the remaining values on the numerators/ denominators
= [tex]\frac{1(1)(1)}{3(2)(1)}[/tex] = [tex]\frac{1}{6}[/tex]
Can someone please help me with this question?
Answer:
A Jones has the best plus minus record
Step-by-step explanation:
The player wants the most "negative" score, which means he was one the ice when his team scored the most points and off the ice when his team was scored upon.
Answer:
11. a. See below. b. E. Simpson
Step-by-step explanation:
11. a. Graphing on the number line
You did a great job on this.
I just used red dots to make them more visible.
===============
11. b. Best plus-minus record
The player with the best plus-minus record is E. Simpson.
His plus-minus record of +9 means that his team has scored more often when he is on the ice than any other player.
write the sentences below as a mathematical expression.
1. the sum of a number and 9
2. 12 decreased by some number
3. some number decreased by 7
4. twice a number
5. 2 times a number
6. a number dived by 8
7. the quotient of a number and 3
8. double the sum of 8 and a number
1. a+9
2. 12-x
3. x-7
4. 2a
5. 2a
6. a:8
7. a/3
8. 2(8+a)
Which value is equivalent to 40%
Answer:
Step-by-step explanation:
The answer to your question is 2/5,0.4,4/10,
I need help with part c). Given that tan(pi/8)= sqrt(2)-1. Please provide a detailed answer.
[tex]b)\\\tan x=\dfrac{\sin x}{c\os x}\\\\\tan^2x=\dfrac{\sin^2x}{\cos^2x}=\dfrac{2\sin^2x}{2\cos^2x}=\dfrac{\sin^2x+\sin^2x}{\cos^2x+\cos^2x}\\\\=\dfrac{\sin^2x+\sin^2x+\cos^2x-\cos^2x}{\cos^2x+\cos^2x+\sin^2x-\sin^2x}=\dfrac{(\sin^2x+\cos^2x)-(\cos^2x-\sin^2x)}{(\cos^2x+\sin^2x)+(\cos^2x-\sin^2x)}\\\\=\dfrac{1-\cos2x}{1+\cos2x}\\\\\text{Used}:\\\\\sin^2x+\cos^2x=1\\\\\cos^2x-\sin^2x=\cos2x[/tex]
[tex]\tan^2\left(\dfrac{7\pi}{8}\right)=\dfrac{1-\cos\left(2\cdot\dfrac{7\pi}{8}\right)}{1+\cos\left(2\cdot\dfrac{7\pi}{8}\right)}=\dfrac{1-\cos\left(\dfrac{7\pi}{4}\right)}{1+\cos\left(\dfrac{7\pi}{4}\right)}=(*)\\\\\cos\left(\dfrac{7\pi}{4}\right)=\cos\left(2\pi-\dfrac{\pi}{4}\right)=\cos\left(-\dfrac{\pi}{4}\right)=\cos\left(\dfrac{\pi}{4}\right)=\dfrac{\sqrt2}{2}\\\\(*)=\dfrac{1-\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}=\left(\dfrac{2}{2}-\dfrac{\sqrt2}{2}\right):\left(\dfrac{2}{2}+\dfrac{\sqrt2}{2}\right)[/tex]
[tex]=\dfrac{2-\sqrt2}{2}\div\dfrac{2+\sqrt2}{2}=\dfrac{2-\sqrt2}{2}\cdot\dfrac{2}{2+\sqrt2}=\dfrac{2-\sqrt2}{2+\sqrt2}\\\\\text{Use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{2-\sqrt2}{2+\sqrt2}\cdot\dfrac{2-\sqrt2}{2-\sqrt2}=\dfrac{(2-\sqrt2)^2}{2^2-(\sqrt2)^2}\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\\\\=\dfrac{2^2-2(2)(\sqrt2)+(\sqrt2)^2}{4-2}=\dfrac{4-4\sqrt2+2}{2}=2-2\sqrt2+1\\\\=(\sqrt2)^2-2(\sqrt2)(1)+1^2=1^2-2(1)(\sqrt2)+(\sqrt2)^2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\\\\=(1-\sqrt2)^2\\\\\text{Therefore}:[/tex]
[tex]\tan^2\left(\dfrac{7\pi}{8}\right)=(1-\sqrt2)^2\to\boxed{\tan\left(\dfrac{7\pi}{8}\right)=1-\sqrt2}[/tex]
[tex]c)\\\tan\left(\dfrac{\pi}{8}\right)=\tan\left(\pi-\dfrac{7\pi}{8}\right)=\tan\left(-\dfrac{7\pi}{8}\right)=-\tan\left(\dfrac{7\pi}{8}\right)\\\\=-(1-\sqrt2)=\sqrt2-1\\\\y=\sin(2x-1)+a\tan\dfrac{\pi}{8}\\\\\text{We know}\ -1\leq\sin(2x-1)\leq1.\\\\y\geq0\ \text{therefore}\ a\tan\dfrac{\pi}{8}\geq1\\\\\text{We have to move the graph at least one unit up}\\\\a(\sqrt2-1)\geq1\qquad\text{divide both sides by}\ (\sqrt2-1)>0\\\\a\geq\dfrac{1}{\sqrt2-1}\cdot\dfrac{\sqrt2+1}{\sqrt2+1}\\\\a\geq\dfrac{\sqrt2+1}{(\sqrt2)^2-1^2}[/tex]
[tex]a\geq\dfrac{\sqrt2+1}{2-1}\\\\a\geq\dfrac{\sqrt2+1}{1}\\\\a\geq\sqrt2+1\\\\Answer:\ \boxed{a=\sqrt2+1}[/tex]
Sally skates 2/5 in 1/2 hour. How far does she skate in 2 hours
Question
Sally skates 2/5 in 1/2 hour. How far does she skate in 2 hours
Answer:
8/5Step-by-step explanation:
2/5 in 1/2 hour = 4/5 in 1 hour
4/5 * 2 = 8/5 (your answer)
or
2/5 * 2 * 2 =
8/5
which of the following is equal to 9 • 4?
[tex]\sqrt{9*4}= \sqrt{36} =6[/tex]
A.) [tex]\sqrt{9}*\sqrt{4}=3*2=6[/tex]
B.) 18
C.) [tex]\sqrt{\frac{9}{4}}=\frac{3}{2}[/tex]
D.) 36
Your answer is A
The multiplication of 9 • 4 equals 36, which is the result of adding 9 to itself 4 times.
Explanation:The question 'which of the following is equal to 9 • 4?' is asking us to perform a multiplication operation. In Mathematics, when we multiply two numbers, we are essentially adding one of the numbers to itself the number of times indicated by the other number. Therefore, 9 multiplied by 4, which is written as 9 • 4, is equal to adding 9 to itself 4 times: 9 + 9 + 9 + 9.
Let's do the math:
9 + 9 = 1818 + 9 = 2727 + 9 = 36So, 9 • 4 equals 36. This is a basic multiplication concept that is foundational in math.
Blaire needs more than 708 total points on assignments in her math class to pass. She only has 236 points and needs to do some extra credit assignments that are worth 59 points each.
59x + 236 > 708
How many extra credit assignments does Blaire need to complete in order to pass?
A.
x > 236
B.
x > 59
C.
x > 472
D.
x > 8
Answer: D) x = 8
Step-by-step explanation: In order to get this answer, you need to keep the 236 and add 59 evry time until you get 708.
Another thing is to multiply 59 by 8, which will give you 472. Now we add 472 and 236 and we get 708.
59 x 8 = 472 + 236 = 708.
56 + 56 + 56 + 56 + 56 + 56 + 56 + 56 = 472 + 236 = 708.
Hope this helped!
Plz mark brainliest!
Answer:
x>8
Step-by-step explanation:
I only answered so the other guy could get brainliest.
Find the lowest common denominator of p+3/p2+7p+10 and p+5/ p2+5p+6 A. (p + 5)(p + 2)(p + 3)
B. (p + 5)(p + 3)
C. (p + 2)2
D. (p + 2)
[tex]\dfrac{p+3}{p^2+7p+10}=\dfrac{p+3}{p^2+5p+2p+10}=\dfrac{p+3}{p(p+5)+2(p+5)}=\dfrac{p+3}{(p+2)(p+5)}\\\\\dfrac{p+5}{p^2+5p+6}=\dfrac{p+5}{p^2+3p+2p+6}=\dfrac{p+5}{p(p+3)+2(p+3)}=\dfrac{p+5}{(p+3)(p+2)}\\\\\text{Lowest Common Denominator of}\ \dfrac{p+3}{p^2+7p+10}\ \text{and}\ \dfrac{p+5}{p^2+5p+6}\\\\\text{is}\ (p+5)(p+2)(p+3)\to\boxed{A.}[/tex]
The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy or New York, New York: Maximum Minimum Q1 Q3 IQR Median Mean σ Rome 16 0 3 13 10 8.5 8 5.4 New York 20 1 4.5 6 1.5 5.5 7.25 5.4 Which of the choices below best describes how to measure the center of this data? Both centers are best described with the mean. Both centers are best described with the median. The Rome data center is best described by the mean. The New York data center is best described by the median. The Rome data center is best described by the median. The New York data center is best described by the mean.
Final answer:
The center of a data set can be measured using the mean or the median. In this case, the Rome data center is best described by the mean, while the New York data center is best described by the median.
Explanation:
The center of a data set can be measured using two common ways: the mean and the median. The mean is found by adding up all the values and dividing by the total number of observations. The median is the middle value, or the number that separates the data into two equal halves. It is generally a better measure when there are extreme values or outliers.
In this case, based on the information provided, the Rome data center is best described by the mean, while the New York data center is best described by the median.