Answer:
[tex]Speed = 159.4\ km/hr[/tex]
[tex]Speed = 2.6\ km/m[/tex]
Step-by-step explanation:
The question has missing details; However, the given parameters are
[tex]Speed = 99\ miles/hour[/tex]
Required
Determine the speed in
- kilometre per hour
- kilometre per minute
From the question; we have that
[tex]1\ mile = 1.61\ kilometers[/tex]
[tex]1\ hour = 60\ minutes[/tex]
[tex]Speed = 99\ miles/hour[/tex] can be rewritten as
[tex]Speed = \frac{99\ miles}{hour}[/tex]
It can be further expressed as
[tex]Speed = \frac{99\ *\ 1\ mile}{hour}[/tex]
Recall that [tex]1\ mile = 1.61\ kilometers[/tex]'
So;
[tex]Speed = \frac{99\ *\ 1.61\ kilometre}{hour}[/tex]
[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]
[tex]Speed = 159.39\ kilometres/hour[/tex]
[tex]Speed = 159.4\ km/hr[/tex] -- Approximated
Solving further to get kilometre per minute equivalent
[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]
This can be rewritten as
[tex]Speed = \frac{159.39\ kilometres}{1\ hour}[/tex]
Recall that [tex]1\ hour = 60\ minutes[/tex]; So,
[tex]Speed = \frac{159.39\ kilometres}{60\ minutes}[/tex]
[tex]Speed = \frac{2.5565\ kilometres}{minute}[/tex]
[tex]Speed = 2.5565\ kilometres/minute[/tex]
[tex]Speed = 2.6\ km/m[/tex] --- Approximated
Answer:
Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.
-Step by Step-:
-The speed of the car is given as 99 mi/hour.
Now, WE know that 1 Mile = 1.61 KM
Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.
⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour
Also, 1 hour = 60 minutes
⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min
Write the equation of the line that passes through the points (9,5)(9,5) and (8,-3)(8,−3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Answer:
[tex]y = 8x -67[/tex]
Step-by-step explanation:
Given
(9,5) and (8,-3)
Required
Determine the line equation
First, we need to determine the slope of the line: using
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Where
[tex](x_1,y_1) = (9,5)[/tex]
[tex](x_2,y_2) = (8,-3)[/tex]
So;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes
[tex]m = \frac{5 - (-3)}{9 - 8}[/tex]
[tex]m = \frac{5 +3}{9 - 8}[/tex]
[tex]m = \frac{8}{1}[/tex]
[tex]m = 8[/tex]
The line equation using point slope form is calculated as thus:
[tex](y- y_1) = m(x - x_1)[/tex]
Using [tex](x_1,y_1) = (9,5)[/tex] and [tex]m = 8[/tex], we have
[tex]y - 5 = 8(x - 9)[/tex]
Open the bracket
[tex]y - 5 = 8x - 72[/tex]
Make y the subject of formula
[tex]y = 8x - 72 + 5[/tex]
[tex]y = 8x -67[/tex]
How much did it cost Mark to drive 775 miles? If his car makes 31 mpg and fuel cost $2.00 per gallon.
Answer:
$50.00
Step-by-step explanation:
775/31=25
25x2=50
Evaluate the following expression.
28 – 10 – 15 = 3 =
and this is the order of operations
Answer:
28 - 10 - 15 - 3
=> 18 - 15 - 3
=> 3 - 3
=> 0
Another way:
=> 28 - 10 - 15 - 3
=> 28 - 25 - 3
=> 28 - 28
=> 0
Anyone know the answer to this... Thanks
Answer:
coefficients are the number attached to the variables :75d+8w+25
75 , 8 and the constant is 25. the variables are d and w
if he works for 5 days(d) and installed 48 windows(w)
75 d + 8 w+25
75(5)+8(48)+25= 784 dollars
if Javier get increase of 40 dollars for snack, only the constant change, because the coefficient depends on work days and the number of windows installed, and since only the increase in his stipend, therefor the increase will be the constant value only.
The length of country & western songs has mean 151 seconds and standard deviation 30 seconds. Determine the probability (as percent) that a random selection of 20 songs will have mean length of less than 149.75 seconds.
Answer:
48.514%
Step-by-step explanation:
The formula for calculating a z-score is is z = (x -μ)/σ,
where x is the raw score = 149.75
μ is the sample mean = population mean = 151 seconds
σ is the sample standard deviation
= Population standard deviation/√n
Where n = 20 songs
Population standard deviation = 30
Hence, sample standard deviation
30/√20
= 6.7082039325
z = (x -μ)/σ
z = 149.75 - 150/6.7082039325
z = -0.03727
Using the z score table to find the probability, we have :
P(x<149.75) = 0.48514
In percent = 0.48514 × 100
= 48.514%
Therefore, the probability (as percent) that a random selection of 20 songs will have mean length of less than 149.75 seconds is 48.514%
Sketch the graphs y=1/3x+2
Answer:
mark a dot 2 on the y axis and from there go up one right 3 until you can anymore then go back to the two and go down one left 2
Step-by-step explanation:
88 feet/second = 60 miles/hour. How many feet per second is 1 mile/hour?
Answer:
1.46666666667 feet per second
Step-by-step explanation:
60 miles per hour = 88 feet per second
=> 60/60 miles per hour = 88/60 feet per second
=> 1 mile per hour = 1.46666666667 feet per second
Factor - 3x - 28
ax² + bxtc
Identify the values that should be written to
complete the X diagram.
On the top:
On the bottom:
On the sides
ас
Rewrite the expression using the numbers on the
sides of the X diagram.
Use double grouping to factor the four terms.
x2 – 3x – 28
x2 – 3x – 28 = (x-7)(x+4)
Answer:
On the top:-28
On the bottom: -3
On the sides: -7 and 4
X2-3x-28=(x-7)(x+4)
Step-by-step explanation: I got it correct on Edge
n/6=9/3? i dont what this is can someone please help me!!!!
Answer:
[tex]\boxed{n=18}[/tex]
Step-by-step explanation:
[tex]\frac{n}{6} =\frac{9}{3}[/tex]
[tex]\sf Divide \ 9 \ by \ 3.[/tex]
[tex]\frac{n}{6} =3[/tex]
[tex]\sf Multiply \ both \ sides \ by \ 6.[/tex]
[tex]\frac{n}{6} \times 6 =3 \times 6[/tex]
[tex]n=18[/tex]
Answer:
n = 18
Step-by-step explanation:
n/6 = 9/3
Simplify the right side
n/6 = 3
Multiply each side by 6
n/6 *6 = 3*6
n = 18
What is the inverse of the function g(x)=-3(x+6)? g^-1(x)=
Answer:
[tex]g^{-1}(x)=-6-\frac{x}{3} =-\frac{x}{3} -6[/tex]
Step-by-step explanation:
First assign a letter "y" to g(x) and get rid of parenthesis on the right:
[tex]g(x)=-3\,(x+6)\\y=-3x-18[/tex]
Now, solve for "x":
[tex]3x=-18-y\\x=\frac{-18-y}{3}\\x=-6-\frac{y}{3}[/tex]
now replace y with x, and call x : [tex]g^{-1}(x)[/tex]
[tex]x=-6-\frac{y}{3} \\g^{-1}(x)=-6-\frac{x}{3}[/tex]
Answer:
-6 - [tex]\frac{x}{3}[/tex]
Step-by-step explanation:
Pls answer this question as soon as possible
Answer:
The answer is -½.
✌ yeah it is ✌
what is 32 – 21 + 10x – 12x
Answer:
11 - 2x
Step-by-step explanation:
Given
32 - 21 + 10x - 12x ← collect like terms
= 11 - 2x
HELP NOW LOOK AT SCREENSHOT
Answer:
They are similar because corresponding sides are not proportional
Help me please sssssssssssssssssssssssssssss
Answer:
0[tex]-\frac{1}{2}+\frac{\sqrt{3}}{3}[/tex]Step-by-step explanation:
[tex]\sin \left(30^{\circ \:}\right)+\cos \left(60^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \sin \left(30^{\circ \:}\right)=\frac{1}{2}\\\\\mathrm{Use\:the\:following\:trivial\:\\identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\\=\frac{1}{2}+\frac{1}{2}-1\\\\=0[/tex]
[tex]\\\cos \left(60^{\circ \:}\right)+\tan \left(30^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}\\\\=\frac{1}{2}+\frac{\sqrt{3}}{3}-1\\\\=-\frac{1}{2}+\frac{\sqrt{3}}{3}[/tex]
HELP ASAP
Points $A(-1, -2)$ and $B(3, 2)$ are the endpoints of a diameter of a circle graphed in a coordinate plane. How many square units are in the area of the circle? Express your answer in terms of $\pi$.
Answer:
8π units²
Step-by-step explanation:
center=((-1+3)/2,(-2+2)/2)=(1,0)
[tex]radius~r=\sqrt{(3-1)^2+(2-0)^2} =\sqrt{4+4} =\sqrt{8} \\area~of~circle=\pi r^2=\pi \times (\sqrt{8} )^2=8\pi ~square~units.[/tex]
PROVE THAT:
cos 20° - sin 20° = \sqrt{2}sin25°
Answer:
See below.
Step-by-step explanation:
[tex]\cos(20)-\sin(20)=\sqrt{2}\sin(25)[/tex]
First, use the co-function identity:
[tex]\sin(90-x)=\cos(x)[/tex]
We can turn the second term into cosine:
[tex]\sin(20)=\sin(90-70)=\cos(70)[/tex]
Substitute:
[tex]\cos(20)-\cos(70)=\sqrt{2}\sin(25)[/tex]
Now, use the sum to product formulas. We will use the following:
[tex]\cos(x)-\cos(y)=-2\sin(\frac{x+y}{2})\sin(\frac{x-y}{2})[/tex]
Substitute:
[tex]\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70) =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)[/tex]
Use the even-odd identity:
[tex]\sin(-x)=-\sin(x)[/tex]
Therefore:
[tex]\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)[/tex]
Replace the second term with the original term:
[tex]\cos(20)-\sin(20)=\sqrt{2}\sin(25)[/tex]
Proof complete.
Who’s salary represents the median of the data in the table?
Answer:
Rajesh salary is the median
Step-by-step explanation:
Am not good in explanation
Answer:
1: Ram
Step-by-step explanation:
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values
if we put these salaries in order we can find out what the median salary is.
32,701 , 45,600 , 52,000 , 67,250 , 71860.
The number in the centre or the middle is 52,000. That is Ram's salary.
The answer is 1. Ram
I hope you find this useful, rate me the brainliest if you did ;)
Given f(x) = 2x - 7, complete parts (a) through (c).
A. Solve f(x)=0.
B. What do the answers to parts (a) and (b) tell you about the graph of y=f(x)
Answer:
a) x=7/2
Step-by-step explanation:
a) since f(x) is=0, plug in 0 to → f(x)=2x-7 [this f(x)]. you would get 0=2x-7. solve for x by adding 7 and dividing by 2 which you get x=7/2.
Then value of [tex]x[/tex] is 7/2
What is function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input . Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.
given function:
[tex]f(x)[/tex]= 2[tex]x[/tex] -7
So,[tex]f(x)[/tex]= 0
2[tex]x[/tex] -7=0
2[tex]x[/tex]= 7
[tex]x[/tex]= 7/2
The graph is attached below.
Learn more about function here:
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According to data from the U.S. Department of Education, the average cost y of tuition and fees at public four-year institutions in year x is approximated by the equation where x = 0 corresponds to 1990. If this model continues to be accurate, during what year will tuition and fees reach $4000?
Answer:
Graphing Calculator
Step-by-step explanation:
m-m-1/2=1-m-2/3 ( will mark brainiest)
Answer:
Step-by-step explanation:
m= 1/2
this is answer ..........
hope it helps
pls mark my answer as the brainliest
Answer:
M = 5/6
Step-by-step explanation:
m-m-1/2=1-m-2/3
You combine like terms, in this case, the m-m and 1-2/3.
-1/2 = -m + 1/3
Now you need to isolate the m so you subtract 1/3 from both sides.
-1/3 - 1/2 = -m
Combine like terms again.
-5/6 = -m
But m needs to be positive so you divide both sides by -1.
m = 5/6
This should be the answer!
PLEASE HELP, WILL GIVE BRAINLIEST The number of views on an interesting video after it's uploaded is represented by the following table: Time (days) Views 000 101010 444 452452452 888 889889889 121212 133013301330 161616 177017701770 202020 221122112211 Which model for V(t)V(t)V, left parenthesis, t, right parenthesis, the number of views ttt days after it's uploaded, best fits the data?
Answer:
Option C
Step-by-step explanation:
Options A, B, C, and D all satisfy the base case of V(0) = 10; however, they also all fail the next step case of V(4) = 452.
A at t = 4, results in 163047.361
B at t = 4, results in 1770
C at t = 4, results in 450 (close but not 452)
D at t = 4, results in 41740124.42
Note that at option C, we had the closet value 450 which is only 2 from 452 whereas the next closet was 1218 away.
Choose option C as the curve of best fit.
Cheers.
Answer:
c
Step-by-step explanation:
E
What is the value of x in the equation 3x.. by y 18, when y27
Answer:
x = 15
Step-by-step explanation:
We need to find the value of x in the equation 3x – y = 18 when y = 27.
To find the value of x, put y = 27 in the above equation.
So,
3x - 27 = 18
3x = 45
x = 15
So, the value of x is 15.
Change y = – 2/3 x + 7 into standard form
Answer:
2x + 3y = 42
Step-by-step explanation:
Standard form should be like:
=> ax + by = c
To make an equation like the above one, we need to do the point-slope form first.
=> y - y1 = slope (x - x1)
Slope = -2/3
Y-intercept -> to find the y-intercept, we need to make the 'x' as 0.
=> y = -2/3 * 0 + 7
=> y = 7
X-intercept -> to find the x-intercept, we need to make 'y' as 0.
=> 0 = -2/3x + 7
=> -7 = -2/3x
=> -21/2 = -x
=> -10.5 = -x
=> 10.5 = x
So, x and y intercepts are 10.5 and 7.
We can now write the point-slope form:
=> y - 7 = -2/3 (x - 10.5)
=> y - 7 = -2/3x + 21/3
=> y = -2/3x + 7 + 7
=> y = -2/3x + 14
=> 2/3x + y = 14
=> Multiply all numbers by 3
=> 2x + 3y = 42
Help plz ASAP!!!!!!!!
Answer:
D
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = lbh ( l is length, b breadth and h is height )
Here l = 7, b = 2 and h = 4 , thus
V = 7 × 2 × 4 = 56 in² → D
How many of the positive integer factors of 15552 are perfect squares?
There are 12 factors which are perfect squares is 1, 4, 9, 16, 36, 64, 81, 144, 324, 576, 1296, 5184.
What is factors?Factors can be define splitting the value in multipliable values.
Factorization of 15552
= 1 * 4 * 4 * 4* 9 * 9 * 3
Perfect squares can be formed by above factors are
= 1, 4, 9, 16, 36, 64, 81, 144, 324, 576, 1296, 5184.
Thus, there are 12 factors which are perfect squares is 1, 4, 9, 16, 36, 64, 81, 144, 324, 576, 1296, 5184.
Learn more about factors here:
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Please help quickly!!
A truck is driving up a hill with a 24% grade, so it climbs 24 feet vertically for every 100 feet horizontally.
What is the slope of the hill?
Answer:
6/25
Step-by-step explanation:
rise / run
24/100 = 6/25
Answer:
[tex]\frac{6}{25}[/tex]
Step-by-step explanation:
The slope of any relationship is always rise over run. This means the vertical distance traveled over the horizontal distance traveled will get us our slope.
We travels 24 feet vertically for every 100 feet horizontally, so:
[tex]\frac{24}{100}[/tex].
We can simplify this fraction to find the slope in fraction form.
[tex]\frac{24\div4}{100\div4} = \frac{6}{25}[/tex]
So the slope of this equation is [tex]\frac{6}{25}[/tex].
Hope this helped!
the area of a square is given by s2 and the perimeter is given by 4s, where s is the side length of the square if the side length of a square is 4 inches its area is ... square inches and its perimeter is ... inches
Answer:
Area = s² = 4² = 16 sq. In.
Perimeter = 4s = 4(4) = 16 in.
Which statement about the relationship shown in the graph is true?
Answer:
third option
Step-by-step explanation:
In a linear relationship, the y variable is the dependent variable (meaning that it depends on the independent variable) and the x variable is the independent variable. Basically, y depends on x, and since in this case, by looking at the graph, we know that y is the total price and x is the number of pounds of tomatoes, the answer is the total price depends on the number of pounds.
como resuelvo esto y=1+2(4/5)
Answer:
Es 2.6
Step-by-step explanation:
Answer: translate
Step-by-step explanation:
Find the product (4x-3y)(2x+5)
Answer:
8x²−6xy+20x−15y
Step-by-step explanation:
(4x−3y)(2x+5)
=(4x+−3y)(2x+5)
=(4x)(2x)+(4x)(5)+(−3y)(2x)+(−3y)(5)
=8x²+20x−6xy−15y
=8x²−6xy+20x−15y
