Answer:
[tex]d=1.61\times 10^{10}\ miles[/tex]
Step-by-step explanation:
Given that,
The speed of light, v = 300,000,000
eWe need to find the distance light travel in 1 day. We know that,
1 day = 86400 seconds
Distance = speed × time
So,
[tex]d=3\times 10^8\times 86400[/tex]
[tex]d=2.592\times 10^{13}\ m[/tex]
or
[tex]d=0.001610\times 10^{13}\\\\d=1.61\times 10^{-3}\times 10^{13}\\\\d=1.61\times 10^{10}\ miles[/tex]
So, the required distance is equal to [tex]1.61\times 10^{10}\ miles[/tex].
Practice with linear pairs and vertical angles,
Wuch angles are lineat pots? Check all that any
ZSRT and ZTEV
VW and ZWS
ZV90 and ZUS
R
ZUW and Z WS
w
Answer:
<SRT + <TRV
<VRW + m<WRS
<VRW + m<URS
Step-by-step explanation:
When two straight lines intersect, the adjacent angles formed on a straight line are referred to as linear pairs and they equal 180°.
The linear pairs from the diagram given are:
<SRT + <TRV
<VRW + m<WRS
<VRW + m<URS
All pairs sum up to 180° each.
By midweek, Wendy had spent $46.65. At the end of the week, she had spent $23.35 more. How much did Wendy spend that week?
70 dollars because addition
Round to the nearest tenth if necessary.
Find the f^-1(x) and it’s domain
Answer:
[tex]f^{-1}(x) = (x + 8)^2[/tex]
[tex]x \ge -8[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt x - 8[/tex]
Solving (a): [tex]f^{-1}(x)[/tex]
We have:
[tex]f(x) = \sqrt x - 8[/tex]
Express f(x) as y
[tex]y = \sqrt x - 8[/tex]
Swap x and y
[tex]x = \sqrt y - 8[/tex]
Add 8 to [tex]both\ sides[/tex]
[tex]x + 8 = \sqrt y - 8 + 8[/tex]
[tex]x + 8 = \sqrt y[/tex]
Square both sides
[tex](x + 8)^2 = y[/tex]
Rewrite as:
[tex]y = (x + 8)^2[/tex]
Express y as: [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x) = (x + 8)^2[/tex]
To determine the domain, we have:
The original function is [tex]f(x) = \sqrt x - 8[/tex]
The range of this is: [tex]f(x) \ge -8[/tex]
The [tex]domain[/tex] of the [tex]inverse[/tex] function is the [tex]range[/tex] of the [tex]original[/tex] function.
Hence, the domain is:
[tex]x \ge -8[/tex]
You sold 500 shares of Intel for $26.75 per share. Your broker charges you a
commission of $2.75 per thousand dollars of stock bought or sold. How much
money will be credited to your account when you sell? (Remember, commissions
are subtracted out of your transaction.)
Answer: $13339.25
Step-by-step explanation:
Since 500 shares of Intel were sold for $26.75 per share, the total amount will be:
= 500 × $26.75
= $13375
Since the broker charges a
commission of $2.75 per thousand dollars of stock bought or sold, the amount charged by the broker on $13375 will be:
= $2.75 × 13
= $35.75
The amount that'll then be credited into ones account will be:
= $13375 - $35.75
= $13339.25
Alex has 512 cubes, with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes.
A) First, find the volume of each cube:
V = s³
= (1/2)³
= 1/8 ft³
We have a total of 64 cubes, therefore the maximum volume will be:
Vmax = 64 · (1/8) = 8 ft³
B) The volume of a rectangular prism is given by:
V = w × l × h
Therefore any combination of w × l × h = Vmax = 8 will be fine.
Examples:
2 × 2 × 2
4 × 2 × 1
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? (5 points)
Group of answer choices
Counterclockwise rotation about the origin by 180 degrees followed by reflection over the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection over the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection over the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection over the y-axis
Answer:
Step-by-step explanation:
Counterclockwise rotation about the origin by 180 degrees followed by reflection over the y-axis
The winning height for the men's Olympic high jump has been increasing each year. A regression line of the data is y = 0.23x + 70.8, where
y is the height of the men's winning jump in inches and x is the number of years since the first Olympics in 1896.
Which statement best describes the meaning of the y-intercept of the regression line?
A. The winning men's high Jump helght of the first Olympics was about 0.23 inches.
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
C. Each year the winning men's high jump helght is predicted to increase by 0.23 inches.
D. Each year the winning men's high jump helght is predicted to increase by 70.8 inches.
The y intercept of the equation is the 70.8.
The answer would be
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
Answer:
the answer is c
Step-by-step explanation:
because x is the number of years since the first olympics in 1896 you would multiply x=225 for 2021 by 0.23in and get 51.75in which is how much the winning jump went up over the years. so it is predicted to rise by 0.23in every competition.
Pls solve the 2nd q fast. Best answer will be marked brainliest
Step-by-step explanation:
[tex] \frac{ - 16}{11} + \frac{ - 3}{9} = \frac{ - 48 - 11}{33} = \frac{ - 59}{33} [/tex]
Geometry pls help :(
Answer:
900 pi for first question and 14137 for 2nd
Step-by-step explanation:
SA=4pi r^2
r=15 (30/2)
SA=4pi(15^2)
SA=900pi
V=4/3pi r^3
V=4/3(3.14)(15^3)=14137
Answer:
Surface area: 900π in²
Volume: 4500π in³
Step-by-step explanation:
A = 4πr² = 4π(15²) = 900π
V = 4/3 πr³ = 4/3 π(15³) = 4500π
A spinner has 6 equal sections marked 1 through 6. You spin and land on a number less than 6?
For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. If 80 tickets are sold for a total of $525, how many of the tickets were adult tickets and how many were sold to kids under 12?
They sold ___ adult tickets and _____ kids tickets.
Answer:
They sold 30 adult tickets and 50 kids tickets.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
x is the number of adult tickets sold
y is the number of kids tickets sold.
80 tickets are sold
This means that [tex]x + y = 80[/tex], or also, [tex]x = 80 - y[/tex]
For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. Tickets were sold for a total of $525.
This means that:
[tex]7.5x + 6y = 525[/tex]
Since [tex]x = 80 - y[/tex]
[tex]7.5(80 - y) + 6y = 525[/tex]
[tex]600 - 7.5y + 6y = 525[/tex]
[tex]1.5y = 75[/tex]
[tex]y = \frac{75}{1.5} = 50[/tex]
[tex]x = 80 - y = 80 - 50 = 30[/tex]
They sold 30 adult tickets and 50 kids tickets.
What’s the answer to this ?
Answer:
Step-by-step explanation:
[tex]0.25=\frac{x}{140} \\140*0.25=\frac{x}{140}*140\\35=x[/tex]
1st box: 140
2nd box: 140
3rd box: 35
which equation is equivalent to xy (3x + 2y) = 4
Answer:
the value x is 0 and the value of y is 2
Help! Note: Figure is not drawn to scale.
If m1 = 35° and m2 = 20°, what is m3?
A.
110°
B.
160°
C.
145°
D.
125°
Answer:
Step-by-step explanation:
Do you not know that a triangle has 180 degrees in total. Pay attention in class geez.
Which is an equivalent way to express 3y
Answer:
3 f(x)
Step-by-step explanation:
this is very open-ended, (6y)/2 is equal to 3y
What shape are the faces, other than the base,
of a pyramid?
Answer:
The base of the pyramid is a triangle, and the lateral faces are also triangles.
The pupils in my class work very quickly. Jasleen answers four questions every
30
seconds and Ella answers five questions every
40
seconds.
Last week, Jasleen took exactly
1
hour to answer a large set of questions.
How many minutes more than Jasleen did Ella take to answer the same set of questions?
Answer:
4 mins more would be taken by Ellina
Step-by-step explanation:
Given that
Jasleen answers 4 questions every 30 seconds
And, Ella answers 5 questions every 40 seconds
And, last week Jasleen took exactly 1 hour for answering a large set of questions
We need to find out the number of more minutes taken by Ella
As Jasleen answers four questions every 30 seconds
So, Jasleen answers 8 questions for every 1 minutes
Now
Jasleen answers time taken
= 60 × 8
= 480 questions for every 60 minutes or 1hr
On the other hand
Ella answers five questions every 40 seconds.
So, 1 questions in 8 sec
Now for 480 Questions , it would take
= 480 × 8 secs
= 480 × 8 ÷ 60 min
= 8 × 8
= 64 mins
Hence 4 mins more would be taken by Ellina
A sociologist wants to construct an 80 confidence interval for the proportion of children aged - living in New York who own a cell phone. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) A survey by the National Consumers League taken in estimated the nationwide proportion to be . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of
This question is incomplete, the complete question is;
A sociologist wants to construct an 80 confidence interval for the proportion of children aged 8-10 living in New York who own a cell phone.
(a) A survey by the National Consumers League taken in 2012 estimated the nationwide proportion to be 036. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02?
Answer:
the required or needed sample size is 946
Step-by-step explanation:
Given the data in the question;
confidence level = 80%
⇒ 100( 1 - ∝ )% = 80%
100 - 100∝ = 80
100∝ = 100 - 80
∝ = 20/100
level of significance ∝ = 0.2
[tex]Z_{\alpha /2[/tex] = [tex]Z_{0.10[/tex] = 1.2816 { from z-table }
p = 0.36
Allowable margin of error E = 0.02
let n be the required sample size.
we know that
E = √( p( 1 - p) / n )
given that margin of error E = 0.02
⇒ √( p( 1 - p) / n ) × [tex]Z_{\alpha /2[/tex] = 0.02
⇒ √( 0.36( 1 - 0.36) / n ) × 1.2816 = 0.02
⇒ √( 0.2304 / n ) × 1.2816 = 0.02
√( 0.2304 / n ) = 0.02 / 1.2816
√( 0.2304 / n ) = 0.01560549
( 0.2304 / n ) = ( 0.01560549)²
0.2304 / n = 0.000243531318
n = 0.2304 / 0.000243531318
n = 946
Therefore, the required or needed sample size is 946
Question
The area of a rectangle is 1,367 square feet. The length is 60 feet. What is the width?
Step-by-step explanation:
[tex] \frac{1367}{60 } = 22.783[/tex]
Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate "Not a Real Number"
Answer:
undefined
Step-by-step explanation:
the expression is undefined in the set of real numbers
( HOPE THIS HELPED)
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
Answer:
[tex] \huge \purple{ \boxed{ y = \frac{2}{3} }}[/tex]
Step-by-step explanation:
Since, the variables x and y are inversely proportional.
[tex] \therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}[/tex]
What’s the slope?? Please help!
Answer:
I believe the slope of the line is 5
Step-by-step explanation:
5 + 5 = 10
10 + 5 + 15
15 + 5 = 20
Hope this helps :)
Write integer to describe each situation. A. Charge of 24$ is debited from a bank account
Answer:
-24
Step-by-step explanation:
To represent a charge of $24 debited from a bank account, this type of transaction being described as a debit means that a sum of $24 was deducted from the account, meaning the total amount in the account will reduce after this transaction takes place. Hence a charge of $24 being debited will take a negative sign as could be represented by the integer - 24
Pls help me if u cannnnnnnnnnnnnnnnnnnnnnnn
Answer:
1436.03 m³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {(14 \div 2)}^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14 \times {7}^{3} [/tex]
[tex] = \frac{4308.08}{3} [/tex]
[tex] = 1436.0266667...[/tex]
= 1436.03 m³ (rounded to the nearest hundredth)
simplify the first expression 5 (m + 1) -1
Answer:
5m+4
Step-by-step explanation:
(5m)+5(1)-1
5m+5-1
Answer:
5m+4
Step-by-step explanation:
You basically do the distribution property with the 5(m+1)= 5(m)+5(1)-1
5m+5 - 1
5m+4
Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number.
(Hint: You can use variables to represent the digits of a number. If a two-digit number has the digit x in tens place and y in one’s place, the number will be 10x + y. Reversing the order of the digits will change their place value and the reversed number will 10y + x.)
The difference of the original two-digit number and the number with reversed digits is........
.
Answer:
The difference of the original two-digit number and the number with reversed digits is 18.
Step-by-step explanation:
Since it's a two digit number, let x represent the tens digit and let y represent the units digit.
Thus, the original two digit number is;
10x + y.
The reverse two digit number is;
10y + x.
We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.
Thus;
5(x + y) = (10x + y) - 13
Multiplying out the bracket gives;
5x + 5y = 10x + y - 13
Rearranging gives;
10x - 5x + y - 5y = 13
5x - 4y = 13 - - - - (3)
Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;
4(x + y) = (10y + x) - 21 - - - (4)
Simplifying gives;
4x + 4y = 10y + x - 21
>> 10y - 4y - 4x + x = 21
>> 6y - 3x = 21 - - - (4)
Solving eq(3) and (4) simultaneously gives;
x = 5 and y = 3
Thus,
Original number = 53
Reversed number = 35
Difference between original and reversed number = 53 - 35 = 18
Help 9-11 thank you !
Answer:
9 - 11 = -2
Step-by-step explanation:
Because 9 is being subtracted by a number greater than itself, the answer has to be a negative and because:
9 + 2 = 11
9 - 11 = (-2)
Your Welcome :)
If X and Y are supplementary angles, then X and Y are: always, sometimes, or never vertical?
Pick one
Answer:
sometimes
Step-by-step explanation:
What is the value of x?
30
v
O 45
T
(3x) °
O 55
-40
R
O 60
w
Intro
Answer:45
Step-by-step explanation:
The value of x by the given data is 190/3 or 63.33
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The angles between the lines
Now,
To find the value of x, you need to use the fact that the sum of angles in a triangle is equal to 180°1. This means that:
30° + (3x)° + (-40)° = 180°
Simplifying, we get:
(3x)° - 10° = 180°
Adding 10° to both sides, we get:
(3x)° = 190°
Dividing both sides by 3, we get:
x = 190/3
Therefore, by algebra the answer will be 190/3 or 63.33.
More about the Algebra link is given below.
brainly.com/question/953809
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