Ms. Patterson will take t>2.5 hours to burn 590 calories riding her bike at the same rate which is 236 calories every hour.
What amount of time Ms. Patterson will take to burn more then 590 ?Given that -
she burns 236 calories in 1 hour get = [tex]\dfrac{1}{236}[/tex] hours
so time taken to burn 590 calories at same rate = [tex]590 \times\dfrac{1}{236}[/tex] hours
so time taken to burn 590 calories at same rate = 2.5 hours
hence Ms. Patterson will take t>2.5 hours to burn 590 calories riding her bike at the same rate which is 236 calories every hour.
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The table shows values for functions f(x) and g(x). X f(x)=3x g(x)=2x 1 −2 19 −3 −1 13 −1 0 1 1 1 3 3 2 9 5 What is the solution to f(x)=g(x) ? Select each correct answer. X = −2 x = −1 x = 0 x = 1 x = 2.
By hit and trial of each option and also by graph, solutions to f(x) = 3ˣ and g(x)=2x-1 will be 0 and 1.
given functions are,
[tex]f(x) = 3^x\\\\g(x) = 2x+1[/tex]
let us put x=0
f(0) = 1
g(0) = 1
f(0)=g(0)=1
so 0 will be a solution.
let us put x=1
f(1)= 3
g(1) = 3
f(1)=g(1)=3
so 1 will be also a solution
let us put x=2
f(2) = 9
g(2) = 5
f(2)≠g(2)
so 2 will not be solution.
x=-2 and x=-1 clearly will not be solution because,
g(-2) = negative value but f(x) cannot be negative, being an exponential function.
what is an exponential function?
Any function in form f(x)= pˣ, where p≥1, is called an exponential function.
therefore, solutions to f(x) = g(x) will be 0 and 1.
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A car travel 45km/s on 10 lit of petrol . what is the car's mileage
Answer:
450 milage
Step-by-step explanation:
45 multiple 10
450 milage
How to find the unknown constant between two expressions.
Answer:
Step-by-step explanation:
This is called a 'System of equations'.
Say that you have these two expressions, and the unknown is "b".
5b = y
4b+2 = y
Now we can solve two ways; graph it or solve it.
Solving it, we can see that they both equal y, so:
5b=4b+2
move 4b to the left side by subtraction:
(5b-4b) =2
b = 2
let's see what y equals when b = 2
5 * 2 = y
10 = y
Graphing it we see they intersect, or solve at
(2,10) or b=2, y=10
Hope this helps!
Please help me this math problem!! No Links Please!! Will mark Brainliest if correct!!
Answer:
The vertex form would be y = (x+2)^2
The factored form would be y = (x-2)(x-2)
The standard form would be y = x^2-4x+4
Step-by-step explanation:
To find this, you know that the vertex is 2 left from the center, so you have h = -2, and k = 0 since it isnt shifted up. The graph isn't shifted up either, so a=1.
The vertex form would be: y = a(x-h)^2+k
= (x+2)^2
The factored form would be y = (x-2)(x-2)
The standard form would be y = x^2-4x+4
Your welcome, and comment if you have any questions! :D
find the derivative of f(x)=3x^2+7x-2 for general x
Answer:
[tex]3(x - \frac{ - 7 + \sqrt{73} }{6} )(x - \frac{ - 7 - \sqrt{73} }{6} )[/tex]
Step-by-step explanation:
Here is your answer ☝
6sin pi/18 - 8 sin³ pi/18= 1
[tex]sin3( \alpha ) = 3 \sin( \alpha ) - 4 { \sin^{3} ( \alpha ) }[/tex]
[tex]2( 3 \sin( \ \frac{\pi}{18} ) - 4 { \sin^{3} ( \ \frac{\pi}{18} ) })[/tex]
[tex]2(sin3( \ \frac{\pi}{18} ))[/tex]
[tex]2( \sin( \frac{\pi}{6} ) )[/tex]
[tex]2 \times \frac{1}{2 } = 1[/tex]
Select the correct statements that correspond to the question. Thank you!
PLS HELP DUE TODAY 11:59
Use the two images of the houses to answer the following questions. Number your answers.
1. Are the lengths of one house proportional to the lengths of the other house? Why or why not?
2. How can you use scale factors to show that the homes are or are not proportional?
3.what role does surface area take in the building of a house
4.what advantages exist for a house with a large amount of surface area exposed to the elements? EXPLAIN
Find the area of the parallelogram.
42mm
20 mm
Area =
mm2
Answer:
840
Step-by-step explanation:
b x h = 42 x 20
PLEASE HELP ASAP!!!!
Find the measure of angle x. Round your answer to the nearest hundreth. ( please type the numerical answer only)
Answer:
x=Sin-1(0.470584)
x=28.1°
Step-by-step explanation:
Sin90°/17 =Sin x°/8
0.058823 = Sin x°/8
8(0.058823)=Sin x°
x°=Sin-1(0.470584)
x=28.1°
Out of all the people surveyed, 710 of them (or 82%) said they wanted more drinking fountains put in. How many people were surveyed?
The percentage shows that number of people that were surveyed is 866.
How to calculate percentageLet the number of people surveyed be x.
Therefore, from the question given and the percentage, the calculation goes thus:
82% × x = 710
0.82x = 710
x = 710/0.82
x = 866
The number of people surveyed is 866.
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find the length of the missing side in the triangle below
give answer to one decimal place :))
Help it’s due by Thursday
Answer:
10 is B. 9 is 28.8
Step-by-step explanation:
Write an equation to solve each problem:
a. What number is 35% of 80?
b. Three fourths of 24 is what number?
Answer:
a. 28
b. 18
Step-by-step explanation:
a. 35% = .35 so .35 * 80 = 28
b. 3/4 = .75 because 3 divided by 4 = .75 so .75 * 24 = 18
What is the simplified expression for 3^-4 X 2^3 X 3^2
—————————-
2^4 X 3^-3
45 POINTS FOR AWNSER PLS EXPLAIN NUMBER 42
Answer:
Formula for area is length times width
So 2x × x = 2x^2
E. G.
2×2×2=8
And can also be written as 2^3
Meaning 2×2×2
So in this instance x × x=x^2
In front of the length x imagine a 1
So 2×1=2
Therefore 2x^2
Answer:
Area = 2x²
Step-by-step explanation:
Area = L x W
L = 2x
W=x
x*2 =2x
x*x =x²
Area = 2x²
The cost of 20⅕ oranges is rs 300,what is the cost of a kg oranges?
Answer:
weight not defined
Step-by-step explanation:
The cost of 20⅕ oranges is rs 300 ,what is the cost of a kg oranges?
HOW ARE WE SUPPOSE TO KNOW THE WEIGHT IF ONLY THE PRICE IS GIVEN
Jackson is playing a game of chance where he must randomly draw a marble out of a jar. He calculates the probability of drawing a red marble to be 3/15 . What is the probability of not drawing a red marble?
Answer:
12/15
Step-by-step explanation:
If the probability of drawing a read marble is 3/15
Then that would just make the probability of NOT drawing a red marble 12/5
how do we divide non divisible numbers??
like 4÷3 or 9÷4
we divide them and keep the quotient as decimals.
=) 4÷3 = 1.33
=) 9÷4 = 2.25
13. Claire estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's height is 4 feet, 2 inches. Should Claire's or the doctor's measurement be considered the actual height?
Answer:
the doctors should be taken as the actual height because it was measured not estimated.
Given: m<1=140degrees, find m<5
A)40
B)90
C)130
D)140
Answer:
D) 140
Step-by-step explanation:
That should be your answer
An arithmetic progression has the first term as x and the common difference as d.
a)Write down in terms of x and d, the 3rd, 9th and 25th terms of the progression (1mark)
b)The progression is increasing and the 3rd 9th and 25th terms forms the first three consecutive terms of a geometric series.If the sum of the 7th and twice the 6th term of the arithmetic progression is 78.Calculate the first term and the common difference of the AP
KINDLY DO NOT ATTEMPT IF YOU DO NOT KNOW⛔
Answer:
First term: 6
Common difference: 15/4
Step-by-step explanation:
General form of arithmetic progression:
[tex]a_n=a+(n-1)d[/tex]
(where [tex]a[/tex] is the initial term and [tex]d[/tex] is the common difference between terms)
Question (a)
[tex]\implies a_3=a+(3-1)d=a+2d[/tex]
[tex]\implies a_9=a+(9-1)d=a+8d[/tex]
[tex]\implies a_{25}=a+(25-1)d=a+24d[/tex]
Question (b)
General form of a geometric progression: [tex]a_n=ar^{n-1}[/tex]
(where [tex]a[/tex] is the initial term and [tex]r[/tex] is the common ratio)
Therefore, the first three terms of a geometric series are:
[tex]a_1=ar^0=a[/tex]
[tex]a_2=ar^1=ar[/tex]
[tex]a_3=ar^2[/tex]
To find the common ratio:
[tex]r=\dfrac{ar^2}{ar}=\dfrac{ar}{a} \implies \dfrac{a_3}{a_2}=\dfrac{a_2}{a_1}[/tex]
If the 3rd 9th and 25th terms of an arithmetic progression form the first three consecutive terms of a geometric series, then inputting these into the above formula for r:
[tex]\implies \dfrac{a+24d}{a+8d}=\dfrac{a+8d}{a+2d}[/tex]
[tex]\implies (a+24d)(a+2d)=(a+8d)(a+8d)[/tex]
[tex]\implies a^2+26ad+48d^2=a^2+16ad+64d^2[/tex]
[tex]\implies 10ad=16d^2[/tex]
[tex]\implies 10a=16d[/tex]
The 6th and 7th terms of the arithmetic progression are:
[tex]a_6=a+5d[/tex]
[tex]a_7=a+6d[/tex]
If the sum of the 7th and twice the 6th term of the arithmetic progression is 78, then:
[tex]\implies a_7+2(a_6)=78[/tex]
[tex]\implies (a+6d)+2(a+5d)=78[/tex]
[tex]\implies 3a+16d=78[/tex]
Substituting [tex]10a=16d[/tex] into [tex]3a+16d=78[/tex] and solving for a:
[tex]\implies 3a+10a=78[/tex]
[tex]\implies 13a=78[/tex]
[tex]\implies a=6[/tex]
Substituting [tex]a=6[/tex] into [tex]3a+16d=78[/tex] and solving for d:
[tex]\implies 3(6)+16d=78[/tex]
[tex]\implies 16d=60[/tex]
[tex]\implies d=\dfrac{15}{4}[/tex]
Suppose y varies directly with x, and y = 12 when x = 2. What direct variation
equation relates x and y?
What is the value of y when x = 4?
Answer:
[tex]y=24[/tex]
Step-by-step explanation:
Given:
[tex]y=kx[/tex]
Substitute:
[tex]\left \{ {{y=12} \atop {x=2}} \right.[/tex] into [tex]y=kx[/tex]
[tex]12=k\times2[/tex]
Swap the sides:
[tex]k\times2=12[/tex]
Divide both sides of the equation by the coefficient of variable:
[tex]k=\frac{12}{2}[/tex]
Cross out the common factor:
[tex]k=6[/tex]
Find the equation of the function:
[tex]y=6x[/tex]
Substitute:
[tex]y=6\times4[/tex]
Calculate the product or quotient:
[tex]y=24[/tex]
The value of a car has decreased by 40% to £24000. How much was it worth before the decrease?
Answer:
£40000
Step-by-step explanation:
→ Set up an equation
x × 0.6 = 24000
→ Divide both sides by 0.6
x = 24000 ÷ 0.6 = 40000
What is the correct justification for the first step in solving this
equation? 3(x - 4) + 1 = 12x *
-
O Addition Property
O Division Property
O Commutative Property
O Distributitive Property
Answer:
Distributitive Property
Step-by-step explanation:
The correct justification for the first step in solving the provided equation is that the first step should be distributive Property
What is the property of equality?Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.
The equation given in the problem is,
[tex]3(x - 4) + 1 = 12x[/tex]
To solve the above equation, we need to open the brackets of the equation. To do this, we need to use the distributive property of the equality.
This can be done by multiplying the number 3 inside the bracket (x-4). This operation simplify the equation, to solve it further. Therefore,
[tex]3x - 3\times4 + 1 = 12x\\3x - 12 + 1 = 12x[/tex]
Hence, the correct justification for the first step in solving the provided equation is that the first step should be distributive Property.
Learn more about the property of equality here;
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Mechanic charges $55 for the first hour and $50 for each additional hour how much does he charge if it takes him in four hours to make a repair
Answer:
440$
Step-by-step explanation:
55 x 4=220
50 x 4=200
440$
I hope this is correct if not im sorry
Answer:
$ 205
Step-by-step explanation:
55+50x
x= number of hours minus the first hour (3)
so 55+50(3) = $205
Write an equation in slope-intercept form for the line with y-intercept -1 and slope -4
Answer:
f(x)=-4x-1
Step-by-step explanation:
f(x)=ax+b
a=-4/slope
b=-1/y-intercept
f(x)=-4x-1
What is 1/6+1/5 as a fraction
Answer:
The answer is 11/35, Hope this helps!
Stay safe, and have a very nice rest of the day!
Answer:
1 1 5
6÷5=6
Step-by-step explanation:
21 plus 4x equal 61 what equal 61
Answer:
x = 10
Step-by-step explanation:
61 - 21 = 40
40 / 4 = 10
x = 10
i need help with this question
Answer:
no haha
Step-by-step explanation:
