Answer:
3.2 x 10^5
Step-by-step explanation:
Scientific Notation
3.2 x 10^4 = 32000
3.2 x 10^5 = 320000
Final answer:
The number 3.2 x 10⁵ is larger than 3.2 x 10⁴ because it represents 320,000, compared to 32,000 which is represented by 3.2 x 10⁴. The exponent indicates the number of zeroes to follow the digit.
Explanation:
To determine which number is larger between 3.2 x 10⁴ and 3.2 x 10⁵, we need to understand the notation being used. In scientific notation, the number 10 raised to an exponent indicates how many places to move the decimal point. The larger the exponent, the larger the value.
For 3.2 x 10⁴, it means we have a 3.2 followed by 4 zeros, which is equal to 32,000. In contrast, 3.2 x 10⁵ means we have a 3.2 followed by 5 zeros, which is equal to 320,000. Clearly, 320,000 is larger than 32,000.
Thus, 3.2 x 10⁵ is larger than 3.2 x 10⁴.
Find the total volume of the following composite figure with
h=7.5
and
r=3.6
Use 3.14 for LaTeX: \piπ.
Round to the nearest hundredth.
Given:
The height of the given fig = 7.5 unit
The radius of the given fig = 3.6 unit
To find the volume of the given composite figure.
Formula
The volume of the given fig
[tex]V = V_{1}+V_{2}[/tex]
where,
[tex]V_{1}[/tex] be the volume of the cone
[tex]V_{2}[/tex] be the volume of the semicircle
[tex]V_{1}=\pi r^{2} h[/tex], r be the radius and h be the height
[tex]V_{2} = \frac{2}{3} \pi r^{3}[/tex], r be the radius
Now,
Putting, r= 3.6, h = 7.5 and π = 3.14 we get,
[tex]V_{1} =(3.14)(3.6^{2} )(7.5)[/tex] cube in
or, [tex]V_{1}= 305.208[/tex] cube in
And,
[tex]V_{2} =\frac{2}{3} (3.14)(3.6^{3})[/tex] cube in
or, [tex]V_{2} = 97.67[/tex] cube in
So,
[tex]V = 305.208+97.67[/tex] cube in
or, [tex]V = 402.878[/tex] = 402.88 cube in
Hence,
The volume of the given figure is 402.88 cube in.
In a sample of 150 cars, 18 cars failed a safety inspection. The sampling method had a margin of error of 0.02
What is the interval estimate for the proportion that would fail in the form
(lower limit, upper limit)?
Answer:
(Lower limit, Upper limit) = (0.10, 0.14)
(Lower limit, Upper limit) = (10%, 14%)
Step-by-step explanation:
Total number of cars = 150
Cars that failed the safety inspection = 18
The proportion is given by
p = 18/150
p = 0.12
p = 12%
The confidence interval is given by
p ± margin of error
Where margin of error is 0.02
0.12 ± 0.02
Lower limit = 0.12 - 0.02
Lower limit = 0.10
Lower limit = 10%
Upper limit = 0.12 + 0.02
Upper limit = 0.14
Upper limit = 14%
(Lower limit, Upper limit) = (0.10, 0.14)
(Lower limit, Upper limit) = (10%, 14%)
Answer:
(0.10, 0.14)
Step-by-step explanation:
The number of triangles created is always two fewer than the number of sides (n) in the polygon.
How can you write this as an expression?
The number of triangles is (n-2)
Solve the system of equations.
2x - y = 7
x + y = 2
Answer:
2x - y = 7
x + y = 2
-------------
3x = 9
x = 3, y = -1
can someone please explain this trigonometry question? uses sin/cos/tan
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Right triangle
hypotenuse = 24
Opposite side = 15
Adjacent side = ?
Process
1.- Calculate the adjacent side using the Pythagorean theorem.
hypotenuse² = opposite side² + adjacent side²
-Solve for adjacent side
Adjacent side² = hypotenuse² - opposite side²
-Substitution
Adjacent side² = 24² - 15²
-Simplification
Adjacent side² = 576 - 225
Adjacent side = 351
-Result
Adjacent side = 18.73°
2.- Find the value of x°
a) Using sin x
sinx = Opposite side/Hypotenuse = 15/24 = 0.625
x = 38.68°
b) Using cos x
cos x = Adjacent side/Hypotenuse = 18.73/24 = 0.78
cos x = 38.68°
c) Using tan x
tanx = Opposite side / Hypotenuse = 15/18.73 = 0.80
tan x = 38.68°
can a smart person help me out? I really need help with these three questions
Answer:
1.= 2.4 Hours
2.= 8 miles per hour
3.= 150 miles per hour
Step-by-step explanation:
What is 2/15 of 75?
Explain how you did it
Answer:
10
Step-by-step explanation:
2/15 of 75
2/15 × 75
2 × 75/15
2 × 5
10
Can you please help me out ASAP plzz
Answer:
c
Step-by-step explanation:
Which of the following is the correct representation for a translation 8 units right and 4 units down?
Answer:
A. (x + 8, y - 4)
Step-by-step explanation:
When something is translated to the right, x goes up, and when something is translated down, y goes down.
Alternatively, eft means down for x and up means up for y.
In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π/4 radians.
What is the arc length?
Answer:
The arc length is 52.
A gardener has a circular garden, which he divides into four quadrants. He has four different kinds of flowers, and he wants to assign a flower to each quadrant, so that adjacent quadrants are not planted with the same kind of flower. (Also, the gardener can use the same flower more than once.) How many different gardens are possible?
Answer:
84Explanation:
Call the quadrants I, II, III, and IV, counterclockwise, and the kinds of flowers A, B, C, and D.
Start by assigning a flower of kind A to quadrant I.
Then, quadrant II can have flower B, C, or D.
If it is B, then quadrant III can have either A, C, or D. If it isIf quadrant III has A, then quadrant IV can have either B, C, or D. That is 3 different gardens.
If quadrant III has C, then quadrant IV can have either B or D. That is 2 different gardens.
If quadrant III has D, then quadrant IV can either either B or C. That is 2 different gardens.
Those are all the possible different gardens if A is assigned to quadrant I and B is assigned to quadrant II: 3 + 2 + 2 = 7.
Working yet with A in quadrant I but assigning C to quadrant II, you can make the same reasoning as above to get other 7 gardens.
The same with A in quadrant I but D in quadrant II, other 7 different gardents.
In total, you find 7 × 3 = 21 different gardens when flowers of kind A are assingned to quadrant I.
Starting with a flower of kind B in quadrant I, there will be other 21 different gardens. The same for C and D. Then, in total, there are 4 × 21 = 84 different possible gardens.
Answer:
84
Step-by-step explanation:
Quadrants A and C either have the same kind of flower, or they have different flowers.
If quadrants A and C have the same kind of flower, there are 4 ways to choose this flower. There are then 3 ways to choose the flower for quadrant B, and 3 ways to choose the flower for quadrant D, so there are 4 x 3 x 3 = 36 possible ways in this case.
If quadrants A and C have different kinds of flowers, then there are 4 ways to choose the flower for quadrant A, then 3 ways to choose the flower for quadrant C. Then there are 2 ways to choose the flower for quadrant B, and 2 ways to choose the flower for quadrant D, so there are 4 x 3 x 2 x 2 = 48 possible ways in this case.
Therefore, there are a total of 36 + 48 = 84 ways to plant the flowers.
What is the formula (equation) for momentum?
Answer:
p=mv
Step-by-step explanation:
Answer:
The answer is p = m×v.
Step-by-step explanation:
The formula of momentum is p = m×v where m is the mass of object and v is the velocity of an object.
solve where x is a real number
Answer:
4,-4
Step-by-step explanation:
-4 times -4 equals 16
4 times 4 equals 16
Answer:
x=4
Step-by-step explanation:
square root of 16 and x^2 is 4
Find the exact length of the third side.
Answer:
The third side is sqrt(5)
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
We know the legs are 1 and 2 and we are looking for the hypotenuse.
1^2+2^2 = c^2
1+4 = c^2
5 =c^2
Take the square root of each side
sqrt(5) = sqrt(c^2)
sqrt(5) =c
The third side is sqrt(5)
Answer:
[tex]\sqrt{5}[/tex] or 2.236
Step-by-step explanation:
The pythagorem theorm states that side 1^2 + side^2 = hypotenuse^2
2^2 + 1^2 = h^2
4+1 = h^2
5 = h^2
[tex]\sqrt{5} = \sqrt{h^{2} }[/tex]
[tex]\sqrt{5} =h[/tex]
Fill in the blank with the correct response.
If the diameter of a circle is 12 feet, then the radius of the circle is how many feet?
pls help!
Answer:
Answer is
Radius of a circle is 6 feet
Step-by-step explanation:
[tex]given \: diameter \: = 12 \: feet \\ d = 2r \\ radius = \frac{d}{2} \\ = \frac{12}{2} \\ = 6[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Answer:
6ft
Step-by-step explanation:
Is the slope Positive, Negative, Zero or Undefined?
Find the slope
What does m=
Answer:
Positive
Step-by-step explanation: The slope is 4/3
Answer:
slope is positive m=4/3
Step-by-step explanation:
Explain why P(AD) and P(DIA) from the table below are
not equal.
Answer:
P(A) ≠ P(D)
Step-by-step explanation:
P(A|D) = P(AD)/P(D)
P(D|A) = P(AD)/P(A)
The two denominators are not equal, so the quotients cannot be equal.
P(A|D) and P(D/A) are not equal because the total number of A and D are not equal.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
From the table, we have the following parameters:
n(A) = 8
n(D) = 10
n(A and D) = 2
P(A|D) and P(D|A) are both conditional probabilities, and they are calculated using:
P(A|D)=2/10
=1/5 = 0.2
P(D/A)= 2/8
=1/4
From the above computations, we have:
P(A|D)≠P(D/A)
Hence, P(A|D) and P(D/A) are not equal because the total number of A and D are not equal.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ7
SCENARIO
You and your friend are playing a game with spinners. The two spinners are pictured below. To win each round, you have to land on a number that is bigger than the one your friend lands on. Which spinner would you rather have? Explain your answer.
I need an answer by April 24 ASAP! ;-;
Answer:
1
Step-by-step explanation:
because on how you show for 2 when you want to win have an accurate meaning of an number
Answer: Either spinner
Step-by-step explanation: I hope this makes sense, as I had the same question :)
I would choose either spinner because there is an equally likely probability to land on a greater number using either one. If you join the same numbers together on spinner 1 (all the 1's together, 2's together, and 3's together), the section they would make would be the same size as that same number section on spinner 2.
OR (more detailed one)-
The probability of landing on a number greater than your friend on either spinner is equally likely. 1 and 2 on the first spinner are both 3/8 of the spinner and 3 is 2/8 which is the same ratios as the second spinner. The difference is that on spinner #1, the numbers are split up and spread out from each other (ex. 1,2,3,2,3,1), and in spinner #2 all the 1's, 2's, and 3's are together to make bigger looking chunks. The area of each number is the same on both spinners.
Hope this helps!!!! :):):)
1) Determine the GCF and
2) write the expression in factored form.
(6x2 + 4x) + (4x2 – 8x)
Hey there,
The first step in solving this problem would have to be to add the two binomials together:
10x² - 4xKnowing this now we find the GCF which would have to be 2x which goes into both terms.
The factored form would have to be 2x(5x - 2).
The GCF is 2x and the factored form is 2x(5x - 2).
Hope I helped,
Amna
The GCF for the expression (6x2 + 4x) + (4x2 - 8x) is 2x, and the expression in factored form is 2x(5x - 2).
To determine the greatest common factor (GCF) and write the expression in factored form for (6x2 + 4x) + (4x2 - 8x), we should first combine like terms:
6x2 + 4x + 4x2 - 8x = 10x2 - 4x
We can then identify that both terms have a common factor of 2x. Factoring that out, we get:
2x(5x2/2x - 4/2) = 2x(5x - 2).
Which expression is equivalent to 3(7x – 5)?
Answer:
21x-15
Step-by-step explanation:
Use the distributive property:
3×7x=21x
3×5=15
Don't forget the - sign!!!
So,
3(7x - 5) = 21x - 15
Final answer:
The expression 3(7x - 5) using the distributive property is equivalent to 21x - 15, which is obtained by multiplying 3 by each term inside the parenthesis.
Explanation:
The expression 3(7x
- 5) is equivalent to 21x - 15. This process is known as the distributive property, where you multiply the number outside the parenthesis by each term inside the parenthesis. Let's break it down step by step:
Multiply the first term inside the parenthesis by 3: 3 ×7x = 21x.
Multiply the second term inside the parenthesis by 3: 3 ×(-5) = -15.
Combine these results to get the equivalent expression: 21x - 15.
What is the slope of the line whose equation is 3x+2y=−4 ? Enter your answer in the box.
Answer:
m/slope = -1.5
Step-by-step explanation:
The playground of a school has areas fixed for various activities. One-fifth of the playground is used for students to sit and read. Of the remaining playground, is used for playing soccer. The rest of the playground is used for playing basketball. Which equation represents the part of the playground used for soccer?
Answer:
2/3* 4/5 = 8/15
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached file below.
Given:
One-fifth (1/5) of the playground is used for students to sit and read2/3 is used for playing soccer The rest of the playground is used for playing basketballSo assume that the the playground is divided into 5 equal part
=> 1 part is used for students to sit and read or (1/5)
=> the remaining equal part is 4 or (4/5)
Because 2/3 of the remaining part is used for playing soccer
=> the equation represents the part of the playground used for soccer is:
2/3 of 4/5
= 2/3* 4/5
= 8/15
To find the part of the playground used for soccer, remember one-fifth is for reading, leaving four-fifths. Then, calculate three-quarters of the remaining area for soccer.
To represent the part of the playground used for soccer, we need to consider that one-fifth of the playground is used for students to sit and read. Therefore, the remaining four-fifths of the playground is available for other activities. Since three-quarters of the remaining playground is used for playing soccer, the equation representing the part of the playground used for soccer is:
4/5 * 3/4 = 12/20 = 3/5
There are 2 green,5 yellow, 6 red,and 7 blue marbles in a bag. Erin picks one marble from the bag without looking. What is the probability she will pick a marble out of the bag that is blue?
a) 7% b) 20% c) 35% d) 54%
Answer:
c 35%
Step-by-step explanation:
2 green,5 yellow, 6 red,and 7 blue marbles
2+5+6+7 = 20 marbles
P(blue) = blue marbles / total marbles
= 7/20
= 35/100
=35%
I’ll mark brainly answer pls!!
Answer:
A = 120 units^2
Step-by-step explanation:
The area of a parallelogram is
A = bh
The base is 15 and the height is 8
A = 15*8
A = 120 units^2
Answer:
120
Step-by-step explanation:
multiply the height,8, by the length, 15.
Write the fractional notation in lowest terms.
110 minutes to 4 hours.
Final answer:
To convert 110 minutes to a fraction of 4 hours, we first turn both quantities into minutes and then form a fraction. Reducing this fraction to its lowest terms, 110 minutes to 4 hours can be expressed as the fraction 11/24.
Explanation:
To express 110 minutes in terms of hours, we need to divide the number of minutes by 60, since there are 60 minutes in an hour.
110 minutes ÷ 60 minutes = 1 hour 50 minutes
Now we have to represent 1 hour 50 minutes as a fraction of 4 hours. First, let’s convert 1 hour 50 minutes entirely to minutes to make it easier to compare. There are 60 minutes in an hour, hence:
1 hour = 60 minutes
50 minutes = 50 minutes
Total minutes = 60 + 50 = 110 minutes
Since we know 4 hours is the same as 240 minutes (4 hours x 60 minutes/hour), we can now write the fractional notation:
110 minutes / 240 minutes
Reducing this fraction to lowest terms by dividing both the numerator and the denominator by 10 yields:
11 / 24
Therefore, 110 minutes to 4 hours is expressed as the fraction 11/24 in lowest terms.
determine the zeros & the y-intercept of the function 3(x-3)(x-2)
Answer:
see explanation
Step-by-step explanation:
Given
y = 3(x - 3)(x - 2)
To find the x- intercepts, let y = 0, that is
3(x - 3)(x - 2) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 2 = 0 ⇒ x = 2
Thus the x- intercepts are x = 2 and x = 3
To find the y- intercept let x = 0 and equate for y, that is
y = 3(0 - 3)(0 - 2) = 3(- 3)(- 2) = 3 × 6 = 18
Thus the y- intercept is y = 18
PLEASE HELP THIS IS URGENT I AM BEING TIMED IF YOU CAN ANSWER THIS CORRECT I WILL CALL YOU BRAINLYES
Change each fraction to a decimal and then to a percentage. Include a fraction in the hundredths place if needed. Do not round. Write the decimal, then the percentage. Separate your answer with a comma and a space.
Example: 0.10, 10%
Example: 0.12 3/4, 12 3/4%
23/40
AS A DECIMAL AND A PERCENTAGE
Answer:
23/40 = as a decimal: 0.575 As a percentage 57.5%
Step-by-step explanation:
I know this because I used a online site to check my work.
I hope this helps you! :)
plz mark brainliest :)
5. Celia gets paid biweekly. Her biweekly salary is $1,763.28. What is her annual
salary?
Answer:
Her annual salary is $45,845.28
Step-by-step explanation:
Multiplication is the process of multiplying. Celia' s annual salary is $48,845.28.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Celia's biweekly salary is $1,763.28. Therefore, her weekly salary will be,
Celia's weekly salary = Celia's biweekly salary/ Number of weeks
Biweekly mean once in two weeks, therefore,
Celia's weekly salary = $1,763.28 / 2 weeks
Celia's weekly salary = $881.64 per week
Now, a complete year has 52 weeks, therefore, Celia's annual salary will be,
Celia's annual salary = Celia's weekly salary × Number of weeks in a year
= $881.64 per week × 52 weeks
= $48,845.28
Hence, Celia' s annual salary is $48,845.28.
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ2
DELLO
How many solutions exist for the given equation?
3(x - 2) = 22 - x
zero
O one
two
infinitely many
The number of solutions for the given equation is one.
Here, we have,
To determine the number of solutions for the equation 3(x - 2) = 22 - x, we can solve it and analyze the result.
Let's simplify and solve the equation step by step:
3(x - 2) = 22 - x
3x - 6 = 22 - x
4x = 28
x = 7
After simplifying, we find that x = 7.
Now, we can analyze the number of solutions:
Since we have found a specific value for x that satisfies the equation, namely x = 7, there is exactly one solution.
Therefore, the number of solutions for the given equation is one.
To learn more on equation click:
brainly.com/question/24169758
#SPJ5
Given f(x)=-5x+1 find f(6)
Answer:
f(6)=-29
Step-by-step explanation:
f(6)=-5(6)+1
f(6)=-30+1
f(6)=-29
The value of f(6) is -29.
Given,
f(x)= -5x+1
We need to find f(6).
How do we solve a function at a point?A function is denoted by f(x) and the point can be a value of x.
The x values are called domain and f(x) is called the output.
Example:
f(x) = x + 2
At x = 1
f(1) = 1 + 2 = 3.
Find f(x) = -5x + 1 at x = 6.
f(x) = -5x + 1
f(6) = - 5 x 6 + 1
= -30 + 1
= -29
This means the function f(x) is -29 at x = 6.
Thus the value of f(6) is -29.
Learn more about finding the value of a function at a point here:
https://brainly.com/question/24239740
#SPJ2