Answer:
[tex]\bold{t = f(s) = \dfrac{6.2}{s}}[/tex]
Step-by-step explanation:
Given that distance is 10,000 meter or 6.2 miles.
Time taken is [tex]t[/tex] minutes.
Average speed is [tex]s[/tex] miles/minutes
To find:
Equation to determine time 't' as a function of average speed 's' = ?
t is in minutes and
s is in miles/minute
Solution:
First of all, let us have a look at the formula for Average Speed:
[tex]\text{Average Speed} = \dfrac{\text{Total Distance Traveled}}{\text{Total Time Taken}}\\\Rightarrow \text{Total Time Taken} = \dfrac{\text{Total Distance Traveled}}{\text{Average Speed}}\\[/tex]
Now, we are given that Time, [tex]t[/tex] should be in minutes and
Average speed, [tex]s[/tex] must be in miles per minute
That means, we must have distance in miles.
Putting all the values in above formula.
So, the formula or equation becomes:
[tex]t = \dfrac{6.2}{s}[/tex]
Therefore the equation to find time, [tex]t[/tex] in minutes as a function of Average Speed, [tex]s[/tex] is given as:
[tex]\bold{t = f(s) = \dfrac{6.2}{s}}[/tex]
In a triangle ABC, AB=AC and ˂A=70°, find the angles,˂B and ˂C
please help !!!!!! i will mark brainliest for the best answer
A preferred stock pays an annual dividend of $6.75 and sells for $58.60 a share. What is the rate of return on this security?
Answer:
11.52%
Step-by-step explanation:
Price (p0) = 58.6
Dividend (D1) = 6.75
P0= D1/ke
58.6 = 6.75/ke
ke = 6.75/58.6
ke = 0.1152 or 11.52%
Rate of return (ke) = 11.52%
Please help fast!, i'd really like the correct answers- :'O
Answer: 2/5
Step-by-step explanation:
[tex]-\frac{2}{5} + \frac{4}{5}[/tex]= 2/5
Answer:
−2/5 + 4/5= 2/5
2/5
I'd love brainliest btw (❁´◡`❁)
Solve √108÷√125+√75 step by step
Answer:
Step-by-step explanation:
√108 ÷ √125 + √75
= 6√3 ÷ 5√5 + 5√3
= 11√3 / 5√5
hope this helps
plz mark as brainliest!!!!!!!
Li-Hua wants to create a triangular fame. She has two pieces of wood, which are 6 inches long and 9 inches long, to use for two sides of the triangle. Which of the following CANNOT be the lenth of the third frame and why?
a) 4 inches
b) 6 inches
c) 13 inches
d) 16 inches
Answer:
16 inches
Step-by-step explanation:
in a triangle, the sum of any two sides must be greater than the third side
Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probability distribution between 21 and 38 minutes. What is the probability that a randomly selected car will require less than 25 minutes to service?
Answer:
The probability is [tex]P(X < 25) = 0.308[/tex]
Step-by-step explanation:
From the question we are told that
The amount of time is uniform probability distribution between 21 and 38 minutes.
Given that the amount of time is uniformly distributed then the probability that a randomly selected car will require less than 25 minutes to service is mathematically evaluated as
[tex]P(X < 25) = \frac{ 25 - 21}{38 - 21}[/tex]
=> [tex]P(X < 25) = 0.308[/tex]
Given the following expression, identify the coefficient of the 2nd term
-6n^2+5n+3
A. -6
B. 2
C. 5
D. 3
Answer:
C. 5
Step-by-step explanation:
The "second term" is basically just the second coefficient/variable pair. The first one is -6n and the second one is 5n. The coefficient is the number attached to the variable, and in 5n, 5 is the coefficient.
Need help with factoring the trinomial and simplifying
Answer:
Hello
Step-by-step explanation:
From the answer to the second Question...
x²-6x+9 = -13 + 9
Factorize L.H.S
x² - 3x - 3x + 9 = -4
x(x - 3) - 3(x - 3) = -4
(x - 3)(x - 3) = -4
(x - 3)² = -4
Hence the answer is
[tex] \color{purple}{ \boxed{ {(x - 3)}^{2} = - 4}}[/tex]
Answer:
-3 and -4 are the correct answers!!
Y=? Please help ASAPPP will mark brainliest
Answer:
y=4
Step-by-step explanation:
5x4=20
20x4=80
80x4=320
and so on
Answer:
y = 5 * 4^x
Step-by-step explanation:
For each iteration of x, the output of y is increased by a multiple of 4.
So we can write the equation y = 5*4^x
Cheers.
Could you answer this
If 20% of a number is 20
find that number
Answer: 100
1. Set a proportion.
[tex]\frac{20}{x} = \frac{20}{100}[/tex]
x = 100
How do I make sure if it is correct?
100 x .2 = 20
A recipe for chocolate chip cookies calls for 1 1/4 cups of flour. If you are making 2 2/3 recipes, how many cups of flour are needed?
(Simplify your answer. Type a whole number, reaction, or mixed number.)
Answer:
2 2/3 cups of flour
Step-by-step explanation:
To answer this question you need to multiply 1 1/4 by 2 2/3
To multiply first make each mixed number an improper fraction
This means multiplying the whole number by the denominator, then adding the numerator
For example 1 1/4 would become 5/4 because 4 x 1 = 4 and 4 + 1 = 5, & 2 2/3 would be 8/3
Now multiply the numerator and denominator (5/4 x 8/3)
30/12 simplified to 8/3 (2 2/3)
25 PTS BRAINLIEST HELP
Find (f +9) () for the following functions.
f(3) =+2 and g() = 3x - 1
f() = 2x and g (2)
-40 +5
IITT
f() = and g(x) = 2x - 7
f(0) = -3+6 and g(x) = 2x2 + 3x - 5
+ 42 +1
- 63 - 5
= 22 + 3.0 + 1
:: -20 + 3
:: -62? + 10.
:: I? + 2x - 7
:: -322 - 30 +11
:: 32 +51 - 2
:: -2.1 +5
:: 22 - 2x + 7
:: -2x4 - 3x3 + 1722 + 182 - 30
#: 23-71
Answer:
= 22 + 3,0 + 1 = 36
= -20 + 3 = -17
= -62 + 10 = -52
= 2 x (-7) = -14
= (-322) - 30 + 11 = 281
Follow me // i'm Followback you
3.6399; thousandths round it
Answer:
3.6399 = 3.640
Step-by-step explanation:
[tex]3.6399\\1\:2\:3[/tex]
Rounding to nearest thousandth means rounding to 3 decimal place
(0 to 4) =round down
(5 to 9)= round up
(2x-) + (1/2xy-10) x=4 and y=7
Answer:
0
Step-by-step explanation:
[2(4)-12]+[1/2(4)(7)-10]
(8-12)+(2(7)-10)
-4+14-10
0
Which of the following statments is true regarding the solutions to the quadratic equation 5x^2 +6x+2=0? See picture
Answer:
The quadratic equation has two complex solutions.
Step-by-step explanation:
5x² + 6x + 2 = 0
To know the the correct answer to the question, we shall determine the discriminant of the equation. This can be obtained as follow:
5x² + 6x + 2 = 0
ax² + bx + c = 0
Comparing the above equation, we can obtain:
a = 5
b = 6
c = 2
Discriminant (D) =?
D = b² – 4ac
D = 6² – (4 × 5 × 2)
D = 36 – 40
D = – 4
Since the discriminant of the equation is less than 0, it means that the equation has no real root ( i.e the equation has two complex solution).
BRAINLIEST AND HELLA POINTS Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
Hey there!
4a^2-20a+25 can be factored to (2a-5)(2a-5). Thus, the side length of the square is 2a-5. Basically, we want to find two of the same binomials that can multiply to get 4a^2-20a+25. For example, 2a times 2a = 4a^2, and you can use the foil method to solve for the rest.
4a^2 - 20a +25
(2a)^2 - 20a + (-5)^2
(2a - 5)^2
(9a2 − 16b2) is just a difference of squares, and can be factored to (3a+4b) and (3a-4b). The difference of squares formula can give us this.
Let me know if this helps :)
Answer:
Step-by-step explanation:
Part A
[tex]4a^{2} -20a+25\\\\=(2a)^2-2(5)(2a)+5^2[/tex]
does that seems familiar?
it's because it's a perfect square that can be factorized as
[tex](2a-5)^2[/tex]
so the length of each side is
2a-5 both of them
Part B
[tex]9a^2-16b^2[/tex]
[tex](3a)^2-(4b)^2[/tex]
that's a difference of squares you know [tex]x^2-y^2=(x-y)(x+y)[/tex]
so
[tex](3a-4b)(3a+4b)[/tex]
so the lengths are
3a-4b and 3a+4b
What is the domain of the function
{(−5,6),(2,−8),(7,12),(−2,−8)}
A.{−5,6,2,−8,7,12,−2}
B.{6,−8,12}
B.{−5,2,7,−2}
B.{6,2,7,12}
Answer:
Domain { -5,2,7,-2}
Step-by-step explanation:
The domain is the input values, in this case the x values
Domain { -5,2,7,-2}
Answer:
{ - 5 , 2 , 7 , - 2 }Option C is the correct option.
Step-by-step explanation:
Domain is the set of all values of x
{( -5 , 6 ) , ( 2 , -8 ) , ( 7 , 12 ) , ( -2 , -8 )
⇒ { - 5 , 2 , 7 , - 2 }
Hope I helped!
Best regards!
-10r-20=-20 i need help with this question
Answer:
r = 0
Step-by-step explanation:
To solve this for r, add 20 to both sides. The result will be -10r = 0, and so
the solution is r = 0.
Answer:
0
Step-by-step explanation:
-10r - 20 = -20
-10r = -20 + 20
-10r = 0
r = 0
an empty suitcase has a mass of 2 kilograms. Draw a bar model to find its mass in grams.
Answer:
Since I can't draw it I'll give you the answer. 2,000 g.
Step-by-step explanation:
A kilogram is 1000 grams. Multiply 1000x2 to get 2000. But add the g for grams or the answer is considered wrong by teachers.
Use the drop-down menus to complete each
statement
On the time line, each hash mark represents
years.
The Council of Trent lasted
v years.
>
Answer:
Each hashmark represents 10 years, concil of trent was for 25 years,
pls give thanks and mark brainliest
Answer:
It's TEN and EIGHTEEN.
Step-by-step explanation:
One-way Analysis of Variance uses a F test to compare the variance between the treatment level means to the error variance (the pooled variance within levels). For this test, one assumption is that the observations are random samples drawn from normally distributed populations with unequal variances.TrueFalse
Answer:
False
Step-by-step explanation:
The assumption of ANOVA are:
1) the k- samples are selected randomly and independently from the respective populations
2) All the k population from which samples are drawn are normally distributed with means u1,u2, u3,........
3) the observations are random samples drawn from normally distributed populations with equal variances. The technical term for this assumption is Homoscedasticity.
Failure of any assumption will impair the technique. However, minor deviations can be tolerated. Sometimes square roots and logs are used to make assumptions true.
A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find the area of the rectangle.
Answer:
Arectangle=27.68cm (approximately)
Step-by-step explanation:
in order to find the area of the rectangle first you need to find the measure of the length and width.
since both of them aren't given ,use trigonometry to find the value of the length and width.
sin30°=opposite/hypotenuse
sin30°=opposite/8cm
opposite=sin30°*8cm. >sin30°=0.5
opposite=4cm
cos30°=adjacent/hypotenuse
cos30°=adjacent/8cm
adjacent=cos30°*8cm. cos30°=0.866
adjacent=6.92cm (approximate value)
Arectangle= bh
Arectangle=4cm*6.92cn
Arectangle=27.68cm
express1470 and 7056 as a product of prime factors hence eveluate leaving the answer in prime factors form
Answer:
Step-by-step explanation:
the prime factors of 1470= 2 x 3 x 5 x 7 x 7
also of 7056=2 x 2 x 2 x 2 x 3 x 3 x 7 x 7
hence of
1470 x 7056=2 x 3 x 5 x 7 x 7 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7
required answer pls hit the stars and brain-list it
Abel and Cedric will share a total of $180. Abel will receive half as much as Cedric. What amount. in dollars, will Cedric receive (Disregard the $ sign when gridding your answer.)
Answer:
Cedric's share=$120
Abel's share=$60
Step-by-step explanation:
Abel will receive half as much as Cedric
Let
Cedric's share=x
Abel's share = 1/2 of x
Total money=$180
x + 1/2x = 180
2x+x/2 =180
3/2x=180
Divide both sides by 3/2
x= 180÷3/2
=180 × 2/3
=360/3
=120
Therefore,
Cedric's share = x = 120
Abel's share=1/2x
=1/2 × 120
=120/2
=60
Cedric's share=$120
Abel's share=$60
2x + 5 = 25 solve for x
will give brainliest
Answer:
x = 10
Step-by-step explanation:
Subtract 5 from both sides:
2x + 5 = 25
2x = 20
Divide each side by 2
x = 10
Answer:
x=10
Step-by-step explanation:
25-5 = 20, so then you divide 20 by 2 to get 10
Write an equation of the line below.
Answer: y=(-1/4)x
Step-by-step explanation:
slope-intercept form: y=ax+b
--------------------------------------------
#1 Find the slope
- Use rise/run: -(2/8)=-1/4
-Use slope formula: (2-0)/(-8-0)=2/-8=-1/4
#2 Find the y-intercept
- Given the point (0,0), the y-intercept is already shown which is 0
------------------------------------------
a=-1/4
b=0
y=(-1/4)x
Solve x≤0 or x≥−4 and write the solution in interval notation.
Answer:
-4 ≤ x ≤ 0
Step-by-step explanation:
Given
x ≤ 0 or x ≥ -4
Required
Write using Interval notation
x ≤ 0 or x ≥ -4
This can be rewritten as
x ≤ 0 or -4 ≤ x
Reorder the above inequality to give:
-4 ≤ x or x ≤ 0
The above inequality can then be combined to give
-4 ≤ x ≤ 0
Hence, the interval notation of x ≤ 0 or x ≥ -4 is -4 ≤ x ≤ 0
(–6x2 – 3x – 1) - (x + 8)
Answer:
-6x^2-4x-9
Step-by-step explanation:
(–6x^2 – 3x – 1) - (x + 8)
Distribute the minus sign
–6x^2 – 3x – 1 - x - 8
Combine like terms
-6x^2-4x-9
- On an arcade game, Connor got the 100-point bonus 5 times and the 150-point penalty 3 times. If he started with 200 points, how many points does he have now? Explain how you found your answer.
Answer: 1,150
Step-by-step explanation:
100 x 5 = 500
150 x 3 = 450
500 + 450 + 200
Connor has 1,150 points