Step-by-step explanation:
in this problem, we are expected to convert from miles per hour to feet per second
a). What is her speed in miles per hour?
we know that speed= distance/ time
given that
distance= 26.2 mile
time= 5 hours
substitute and solve for speed we have
speed= 26.2/5
speed= 5.24 miles per hour
b) What is her speed in feet per second?
1 mile per hour is 1.46667 feet per second
5.24 miles per hours will give x
cross multiply to solve for x we have
x= 5.24*1.46667
x= 7.68 feet per seconds
1. Analyze Identify the relevant concepts. Divide numbers written in scientific notation by dividing the coefficients and then subtracting the exponents. Solve Apply the concepts to this problem. Set up the problem. (__X 10^30) ÷ (__X 10^-2), Divide the coefficients. (__÷1.5) = ___,Then subtract the exponents. 10^30÷10^-2)=10^30-(-2), Combine the results of the two operations. (2.0 X 10^30) + (1.5 X 10^-2) = __X___, The star's mass is _________.
2. What is the mass of a star that is equal to the sun's mass divided by 1.5×10^-2? The sun's mass is 2.0×10^30 kg. Express the answer in Scientific notation. ASAP PLEASE!!
Answer:
1. The star's mass is 1.3 x 10^32 kg.
2. The star's mass is 1.3 x 10^32 kg.
Step-by-step explanation:
1.
Divide numbers written in scientific notation by dividing the coefficients and then subtracting the exponents.
let The sun's mass is 2.0×10^30 kg.
and the coefficient = 1.5x10^-2
divide the coefficients
2.0 ÷ 1.5 = 1.3
Then subtract the exponents.
= 10^30 - 10^-2
= 30 - (-2)
= 32
Combine the results of the two operations
= 1.3 and x 10^32
= 1.3 x 10^32
therefore,
The star's mass is 1.3 x 10^32 kg
===============================
2.
given:
The sun's mass is 2.0×10^30 kg.
mass of a star = sun's mass divided by 1.5×10^-2 kg
find:
Express the answer in Scientific notation.
mass of a star = 2.0×10^30 kg
1.5×10^-2 kg
mass of a star = 1.3 X 10^32 kg
therefore,
The star's mass is 1.3 x 10^32 kg
===============================
Answer:
1. The star's mass is 1.3 x 10^32 kg.
2. The star's mass is 1.3 x 10^32 kg.
Step-by-step explanation:
i got them right on my quiz
what is the correct solution steps and solution to 3x+2=17?
Answer:
x=5
Step-by-step explanation:
3x+2=17
17-2=3x
15=3x
3*5=14
15=15
x=15
solve for b 2b+1/2=3
Answer:
b = 5/4 ( or = 1.25)
Step-by-step explanation:
2b + (1/2) =3 (subtract 1/2 from each side
2b = 3 - (1/2)
2b = 2 1/2 (express 2 1/2 as an improper fraction = 5/2)
2b = 5/2 (divide both sdes by 2)
b = (5/2) / 2
b = 5/4
This question is confusing. Please help me!
Answer:
(A) y - x
Step-by-step explanation:
Finding a:
ax + x² = y² - ayax + ay = y² - x²a(x+y)= (y+x)(y-x)a = y - xCorrect choice is (A)
A football team lost 9 yards during a play. The team had a combined gain or loss of 0 yards after the next play. What integer represents the yards gained or lost on the next play? Show this on the number line.
Answer:
_____________
The integer is 0
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
midpoint (-5,18), endpoint (3,13)
Answer:
Hey there!
If the midpoint is (-5, 18) and the endpoint is (3, 13) the other endpoint is (-13, 23)
Let me know if this helps :)
Evaluate 9 – b when b = 8.
Answer:
9 - b = ? 9 - 8 = 1 So, your answer is 1.
Step-by-step explanation:
Which of these is equal to sin 32?
sin 148
sin 58
ооооо
cos 58
cos 148
cos 32
Answer:
sin148 and cos58
Step-by-step explanation:
sin32=0.530
sin148=0.530
cos58=0.530
Hope it is helpful for you
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Graph the line with the equation y=1/6x-7
Answer:
Step-by-step explanation:
A graph that represents the linear equation y = 1/6(x) - 7 is shown in the image below.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Since the given linear equation y = 1/6(x) - 7 is in slope-intercept form, we would start by plotting its y-intercept on a graph;
y = 1/6(x) - 7
y = 1/6(0) - 7
y = -7.
Lastly, we would use an online graphing calculator to plot the given linear equation for the values in its domain as shown in the graph attached below.
In conclusion, the slope of this linear equation y = 1/6(x) - 7 is equal to 1/6 and it does not represent a proportional relationship.
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Point R is on line segment \overline{QS} QS . Given QR=4,QR=4, QS=4x,QS=4x, and RS=5x-9,RS=5x−9, determine the numerical length of \overline{RS}. RS .
Answer:
RS = 16
Step-by-step explanation:
The segment addition theorem tells you ...
QR +RS = QS
4 + (5x-9) = 4x
x = 5 . . . . . . . . . . . add 5-4x
Then the length of RS is ...
RS = 5(5) -9
RS = 16
Simplify this expression
Thank you :)
7.
Which point on the number line best represents the location of V92?
Q
MN
.
P
ta
8
9
10
A.
Point M
B. Point N
C.
Point P
D. Point Q
Answer:
C. Point P
Step-by-step explanation:
sqrt(92) = 9.59
The point closest to 9.59 is point P.
karen wants to attend a summer camp that charges $225.00 Mrs.Whittle pays karen $6.25 an hour to babysit last saturday karen made $18.75 how many more hours will karen have to baby sit in order to earn enough money for camp?
Answer:
33
Step-by-step explanation:
Start off by subtracting how much she needs, with how much she has. 225 - 18.75 = 206.25. Then you divide by how much she makes an hour, 6.25. Dividing 206.25 by 6.25 will give you 33.
Answer:
33
Step-by-step explanation:
Which expression is equivalent to 8 + n? 8n n - 8 n + 8 n = 8
Answer:
n+8
Step-by-step explanation:
8n=8(n)
n-8=n-8 (Since there is no commutative property in subtraction)
n=8 means 8=n
n+8=8+n
Because of commutative property in addition.
Hope this helps ;) ❤❤❤
Find the slope and y-intercept of the following equation: Y = ¾ x - ½
Answers:
Slope = 3/4
y intercept = -1/2
================================================
Explanation:
The form y = mx+b is known as slope intercept form
m is the slope and b is the y intercept
Comparing y = (3/4)x - 1/2 to y = mx+b, we see that
m = 3/4
b = -1/2
look at image. reflection across x=1
Answer:
A' would be at (0,-4)
B' would be at (-2,1)
C' would be at (-2,-3)
Step-by-step explanation:
A' would be at (0,-4)
B' would be at (-2,1)
C' would be at (-2,-3)
Answer:
C 4,3 A 2,-5 B 1,4
Step-by-step explanation:
This goes with number 4
Answer:
B
Step-by-step explanation:
You are correct
I NEED HELP I DONT UNDERSTAND
solve for g E=8gh Please help!!!
Answer:
Step-by-step explanation:
8gh = E
g = E/8h
39. If you run at an average speed of 10 mi/h, how long will it take you to run 2.5 miles?
Answer:
25 mph
Step-by-step explanation:
Because you know mi/h means the miles PER hours, and we know that when we see the word "per" we're dealing with a rate. What we have to do here, is multiply 10(mph) is like the average, or limit. So if I'm running 2.5 miles I multiply 10 x 2.5 to get 25.
Or just move the decimal point one space because of the zero in 10.
Hope this helps, and have a great day!
If i run at an average speed of 10 mi/h, the time needed for me to run 2.5 miles is, 0.25 hour
What is the relation between time, distance & speed ?The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.
Distance = Time × Speed
Given that,
An average speed = 10 mi/h,
If distance travelled = 2.5 miles
Time needed = ?
Time needed = Distance/Speed
= 2.5 / 10
= 0.25
Hence, The time needed is 0.25 hour
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Convert 1.5 × 108 from scientific notation to standard form. 15,000,000 150,000,000 1,500,000,000 15,000,000,000
Step-by-step explanation:
We need to convert 1.5 × 10⁸ from scientific notation to standard form.
The scientific notation is 1.5 × 10⁸
Out of the given options, we need to choose the correct one.
10⁸ means 100000000
⇒ [tex]1.5\times 10^8=1.5\times 100000000[/tex]
or
[tex]1.5\times 100000000=\dfrac{15}{10}\times 100000000[/tex]
One of the zero from denominator and numerator will cancel down.
[tex]\dfrac{15}{10}\times 100000000=15\times 10000000\\\\=150000000[/tex]
So, the correct option is b.
Which expression is represented by the diagram?
Answer:
Its A.
Step-by-step explanation:
hope this helps.
The expression which is represented by the graph will be -6 -(-1) so the correct option will be (A).
What is the expression?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In given figure the, one box represents -1
Now there are total 6 box = -1 times 6 = -6
Now the last box is removed it means it should be subtracted from all the box
-6 - ( One box) = -6 -(-1) hence option A will be correct.
For more about the equation
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How can you tell if a representation is
NOT a function?
It is not a function if there is no pattern to the numbers
.Write a division equation so that it has a solution of -2
Boris downloads a 140MB file from the internet. He downloads 60% of the file in 2 minutes, how many megabytes (MB) of the file has he downloaded?
Answer:
84 MB
Step-by-step explanation:
60% of 140 MB is:
140*60/100 = 84 MBBoris has downloaded 84 MB in 2 minutes
When y is inversely proportional to X where X and Y is equal to 2 then find when the value of x =0.5 is equal to 0.5
Answer:
XY=2
dividing both sides with y
X=2/y
(to find value of X, y should be transpose to the right or remove)
when X=o.5
y=2/0.5
y=4
so value of X is 0.5 when y=4
find tangent and explain the process
Answer:
A
Step-by-step explanation:
So we want to find the tangent of Angle QSR.
First, note that Angle QSR and Angle TSQ forms a supplementary angle. Thus:
[tex]QSR+TSQ=180[/tex]
We already know that TSQ is 150, thus:
[tex]QSR+150=180[/tex]
Subtract:
[tex]QSR=30[/tex]
So, QSR is 30 degrees.
Find tangent of 30 degrees.
[tex]\tan(30)[/tex]
1) If you know the unit circle:
At 30 degrees, our coordinate is:
[tex](\frac{\sqrt3}{2},\frac{1}{2}})[/tex]
So, our answer would be:
[tex]\tan(30)=\frac{\frac{1}{2}}{\frac{\sqrt3}{2}}[/tex]
Simplify:
[tex]\tan(30)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
2) If you don't know the unit circle.
Recall that 30-60-90 is a special right triangle.
The side opposite to 30 is x, the side adjacent to 30 is x√3, and the hypotenuse is 2x.
Therefore, tangent of 30 is opposite over adjacent. Thus:
[tex]\tan(30)=opp/adj[/tex]
Substitute x for opposite and x√3 for adjacent. Thus:
[tex]\tan(30)=\frac{x}{x\sqrt3}[/tex]
Remove the x:
[tex]\tan(30)=\frac{1}{\sqrt3}[/tex]
Multiply both layers by √3. So:
[tex]\tan(30)=\frac{1}{\sqrt3}=\frac{\sqrt3}{3}[/tex]
Our answer is A :)
What is the smallest power of 10 that would exceed 999,999,999,991
Answer:
Answer is 10^11 is the smallest power that would exceed 999,999,999,991
Answer:
10 to the power of 13 or 10^13
if EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH
Given:
Consider the below figure attached with this question.
∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°
To find:
The measure of ∠EFH.
Solution:
From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,
[tex]\angle EFG=\angle EFH+\angle HFG[/tex]
[tex]18x+11=(5x+1)+(62)[/tex]
[tex]18x+11=5x+63[/tex]
Isolate variable terms.
[tex]18x-5x=63-11[/tex]
[tex]13x=52[/tex]
Divide both sides by 13.
[tex]x=\dfrac{52}{13}[/tex]
[tex]x=4[/tex]
The value of x is 4.
[tex]\angle EFH=(5x+1)^\circ[/tex]
[tex]\angle EFH=(5(4)+1)^\circ[/tex]
[tex]\angle EFH=(20+1)^\circ[/tex]
[tex]\angle EFH=21^\circ[/tex]
Therefore, the measure of ∠EFH is 21°.
The composition of any function, f(x), and its inverse, f'(x),
Answer:
x
Step-by-step explanation:
If both the function and its inverse exist, then the composition of the function with its inverse is just 'x.'
The composition of any function, f(x), and its inverse f'(x) is x.
What is a composition of inverse function?The composition of a function and its inverse are two mathematical concepts with practical applicability.
The objective of these two concepts is to increase the understanding of functions and all the terms related to them.
Inverse functions, as the name suggests, is to describe an inverse relationship between two functions.
The composition of function is defined when the result of a function is obtained by applying another function.
The independent variable is another function.
Hence, The composition of any function, f(x), and its inverse f'(x) is x.
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