The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-1, 1) and (2, 13). Substitute:
[tex]m=\dfrac{13-1}{2-(-1)}=\dfrac{12}{3}=4[/tex]
Therefore the equation of a line is
[tex]y=4x+b[/tex]
Put the coordinates of the point (2, 13) to the equation of a line:
[tex]13=4(2)+b[/tex]
[tex]13=8+b[/tex] subtract 8 from both sides
[tex]5=b\to b=5[/tex]
Answer: y = 4x + 5The scale says a patient weighs 70kg.this is the same as weight how many pounds
Answer:
154 LBS
Step-by-step explanation:
1 KG = 2.2 LBS
70 KG X 2.2 = 154
To convert kilograms to pounds, you divide the weight in kilograms by 0.4536. So, a person weighing 70 kg would weigh approximately 154.32 lbs.
Explanation:The subject you're asking about is conversion from kilograms to pounds. A weight of 1 lb is equivalent on Earth to a mass of 0.4536 kg. So, to convert kilograms to pounds, you would divide the weight in kilograms by the equivalent mass of 1 pound in kilograms.
For example, a person weighing 70 kg would weigh approximately 154.32 pounds. This was calculated by dividing 70 kg by 0.4536 kg per pound (70/0.4536 = 154.32 pounds). It's important to note that while weight can vary slightly depending on location due to differences in gravitational pull, this conversion factor still provides a good estimation for most common situations.
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Write w-24 in verbal expression
"w - 24" said verbally is:
w minus twenty-four
hope this helps
~Rise Above the Ordinary
I believe that the correct answer is The difference of w and 24
Hope this helps!!!
erica takes a cab to meet her grandmother at a musuem. her grandmother wiill giive her a ride hime. she only has$25.05 to spend and a cab cost.$3 plus $0.35 per mile. what are rhe maximum number if miles that Erica may travel before she has to walk the rest of the way to the museum?
The maximum miles that she can travel 63 miles before she can walk.
Final answer:
By setting up an equation that accounts for the cab's base fare and the additional per mile charge, we can determine that Erica can afford to travel a maximum of 63 miles in the cab before exceeding her budget of $25.05.
Explanation:
To determine the maximum number of miles Erica can travel in a cab without exceeding her budget of $25.05, we can create an equation where the cost of the cab is equal to the base fare plus the per mile charge times the number of miles (mileage). We know the base fare is $3 and the per mile charge is $0.35. Let's denote the number of miles Erica can travel as 'm'.
The cost equation would be: Cost = Base Fare + (Per Mile Charge × Mileage)
This gives us: $25.05 = $3 + ($0.35 × m)
Subtracting the base fare from both sides gives us: $22.05 = $0.35 × m
Dividing by the per mile charge yields: m = $22.05 / $0.35
Calculating this, we get: m = 63 miles
Therefore, Erica can travel a maximum of 63 miles in the cab before she would need to walk the rest of the way to the museum to stay within her budget.
What’s is 38 divided by 100
38 divided by 100
what you could do is that 38 in decimal form will be 38.00
So,...
38.00 divided by 100
when you divided by 10 or 100 or 1,000 or etc.
all you have to do is move the decimal from 38.00 to the left 2 times
(because there are only 2 zeros in 100)
and your answer will be 0.38
38 divided by 100 = 0.38
hope that helps
The midpoint of AB is (3,7). The coordinate of one endpoint is A(5,1). Find the coordinate of endpoint B. Show or explain work.
The formula of a midpoint:
[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have
[tex]M(3,\ 7)\to x_M=3,\ y_M=7\\\\A(5,\ 1)\to x_A=3,\ y_A=7[/tex]
Substitute:
[tex]\dfrac{5+x_B}{2}=3\qquad|\cdot2\\\\5+x_B=6\qquad|-5\\\\x_B=1\\\\\dfrac{1+y_B}{2}=7\qquad|\cdot2\\\\1+y_B=14\qquad|-1\\\\y_B=13[/tex]
Answer: B(1, 13)A model car travels 20 meters in 15 seconds. How many meters will it travel in 45 seconds?
The model car will travel 60 meters in 45 seconds
f(x)=2^x evaluate f(5)
Hey there!
To solve this, we will first replace x with 5 anytime we see it in the equation.
f(5) = 2^5
Now, we simplify 2^5.
The base is 2 and the exponent is 5 in this case.
The exponent is the number of times you multiply the base by itself. In oour case:
2 x 2 x 2 x 2 x 2 = 32
f(5) = 32
Hope this helps!
0.86 divide 5 -0.3 multiply 0.5
Answer:
The solution is 0.022.
Step-by-step explanation:
Given that,
[tex]\dfrac{0.86}{5}-0.3\times0.5[/tex]
We need to solve the equation
Using PEMDAS rule
On dividing 0.86 by 5
[tex]0.172-0.3\times0.5[/tex]
On multiply 0.3 from 0.5
[tex]0.172-0.15[/tex]
On subtract 0.15 from 0.172
[tex]0.022[/tex]
Hence, The solution is 0.022.
Which of the following functions is the inverse of f (x) = 3x? A. F (x) = -3x. B. F (x) = X3. C. F (x)=x/3 D. This function does not have an inverse.
[tex]f(x)=3x\to y=3x\\\\\text{Interchange the y and the x}\\\\x=3y\\\\\text{Solve for y}\\\\3y=x\qquad|:3\\\\y=\dfrac{x}{3}\\\\Answer:\ C.\ f^{-1}(x)=\dfrac{x}{3}[/tex]
The required inverse function would be f⁻¹(x) = x / 3, which is the correct answer would be option (C).
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
We have to find the inverse of the function below :
f(x) = 3x
So after switching x and y,
Now, we solve for y regularly.
f(x) = x = 3y
Solve for y :
⇒ x = 3y
⇒ x / 3 = y
⇒ y = x / 3 = f⁻¹(x)
Therefore, the required inverse function would be f⁻¹(x) = x / 3.
Hence, the correct answer would be an option (C).
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if prices increase at a monthly rate of 1.4% by what percentage do they increase in a year?
Prices increase by approximately 18.17% in a year if they rise at a monthly rate of 1.4%.
The given monthly rate of 1.4% can be represented as 1.014 in decimal form (1 + 0.014).
To calculate the total increase over a year, we need to compound this monthly rate for 12 months since there are 12 months in a year. We can use the formula for compound interest to find the overall increase:[tex]\[A = P(1 + r)^n\][/tex]
Where:
[tex]\(A\)[/tex] = the final amount after [tex]\(n\)[/tex] periods (in this case, a year),
[tex]\(P\)[/tex] = the initial price (100% or 1 in decimal form, as it's the starting point),
[tex]\(r\)[/tex] = the monthly rate in decimal form (1.4% or 0.014), and
[tex]\(n\)[/tex] = the number of periods (12 months).
Plugging in the values:
[tex]\[A = 1 \times (1 + 0.014)^{12}\][/tex]
[tex]\[A = 1 \times 1.1771\][/tex]
[tex]\[A \approx 1.1771\][/tex]
The final amount [tex](\(A\))[/tex] represents the price increase over the year. To express this as a percentage, we subtract 1 from [tex]\(A\)[/tex] and then multiply by 100:
[tex]\[Price \, Increase \, Percentage = (A - 1) \times 100\][/tex]
[tex]\[Price \, Increase \, Percentage = (1.1771 - 1) \times 100\][/tex]
[tex]\[Price \, Increase \, Percentage \approx 18.17\%\][/tex]
Therefore, prices increase by approximately 18.17% in a year if they rise at a monthly rate of 1.4%.
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please help me find h(6)
To find H(6) for the function H(x) = 5(x - 6), substitute 6 for x, resulting in H(6) = 5(6 - 6) = 5(0) = 0.
The question asks for the evaluation of H(6) when H(x) = 5(x - 6). To find H(6), we simply substitute 6 in place of x in the function and calculate the result.
H(6) = 5(6 - 6)
Calculating the expression within the parentheses:
6 - 6 = 0
Now multiply by 5:
5 times 0 = 0
Therefore, H(6) = 0.
You play a game where you score -6 points on the first turn and on each of the next 3 turns what is your score after those 4 turns
-24 if you score -6 each round
The low temperature for 5 days was -5 degrees, -7 degrees, -2 degrees, 2 degrees, and - 3 degrees. What was the average temperature for those days
What is the volume of a 14 in diameter pipe that’s 2156 long?
Answer:
Step-by-step explanation:
given that diameter of the pipe = 14 inches
radius = 7 inches
Length =2156 inches
Pipe is in the form of a cylinder
Volume of cylinder = pi r^2 h
where r = radius and h = l = 2156
We have to substitute the values of r and h.
Let us take pi as 22/7
= 22/7 (7)(7)(2156)
Cancel out 7 and multiply the remaining 22 ,7 and 2156
=332024 cubic inches
Rafael has been given a list of 4 bands and asked to place a vote . His vote must have the names of his favorite, second favorite and third favorite bands from the list. How many different votes are possible
There will be twelve votes possible because 3*4=12
what is 9(m+4)=7m ?? 50 points and brainliest for anyone who can answer im short on time and need this done oof
The answer you are looking for is M = -18.
To find this answer, you first distribute 9 into the parenthesis (m + 4). Once you've distributed, you should be left with 9m + 36 = 7m. Next, you subtract 9m from both sides. This will give you 36 = -2m. Finally, divide both sides by 2. Thus giving you a final answer of M = -18.
I hope this helps!
Answer:
The answer you are looking for is M = -18.
Step-by-step explanation:
When 1480 is divided into 12equal parts, the remainder is 4. What is a correct way to write the quotient
A girl skateboards with a kinetic energy of 2543.2 J. If the girl and skateboard have a total mass of 110kg , what is her speed ?
Answer:
6.8 Miles
Write at least 20 characters to explain it well.
is -5^2 equal to (-5)^2?
A. Yes, because they both equal -25
B. Yes, because they both equal -10
C. Yes, because they both equal 25
D. No, because -5^2 equals -25 and (-5)^2 equals 25
The correct answer is:
D. No, because [tex]\(-5^2\)[/tex] equals -25 and [tex]\((-5)^2\)[/tex] equals 25.
To evaluate the expression [tex]\( -5^2 \)[/tex] and [tex]\( (-5)^2 \)[/tex], we need to understand the order of operations.
According to the order of operations (PEMDAS/BODMAS), exponentiation takes precedence over negation.
So, [tex]\( -5^2 \)[/tex] means [tex]\( -(5^2) \)[/tex], which equals -25.
On the other hand, [tex]\( (-5)^2 \)[/tex] means [tex]\( (-5) \times (-5) \)[/tex], which equals 25.
Therefore, [tex]\( -5^2 \)[/tex] is not equal to [tex]\( (-5)^2 \)[/tex].
The correct answer is option D.
Hello can you help me please?)
The "vertical line test" tells you the relation is not a function if any vertical line intersects the graph in 2 or more places.
15. not a function
The vertical line x=0 crosses the graph at y=-6 and at y=6.
16. a function
I do t get number 4
4.2 feet = 50.4 inches
divide the total height by the height of each sheet: 50.4/0.6 = 84
it's 84 sheets of plywood.
A package weighs 2.6 pounds how much do 8 of the same sized packages weigh
you would multiply 2.6 x 8 and that equals 20.8
8 packages weigh 20.8 pounds.
Explanation: It's simple. 2.6 x 8 = 20.8
antonio graphs these questions and finds that the lines intersect at a single point (-5,0.25)
Which statement is tru about the values x=-5 and y=0.25?
Serious answers please!
Given equations : Equation A: 4y -3x =16 and
Equation B: -x-8y =3.
We are given a point (-5,0.25) plugging it in first equation
4(0.25) -3(-5) =16
1+15 =16.
16 =16 : Satisfies first equation.
We are given a point (-5,0.25) plugging it in second equation.
-(-5)-8(0.25) =3.
5 - 2 = 3.
3=3.
Therefore, they are the only values that make both eqautions true.What is equal to 6 - -5
what are the prime numbers in between 30 and 40
They are 31 37 I think
There are only two, which is 31 and 37. Hope this helped!
HELP PLEASE!!!!!!!! I GIVE 21 POINTS!!!!!!!!! AND BRAINLEAST <3
6. domain=age
range= number of pets
it is not a function because an x value repeats
7. domain=1,2,3,4,5
range= 50, 100, 150, 150, 200
it is a function because the lines don't connect
Point A has coordinate A(3, 2). The point is rotated 180° clockwise around the origin. Find the coordinates of point A’. A’(2, 3) A’(–3, –2) A’(–2, –3) A’(–2, 3)
Answer:
A' (-3,-2)
Step-by-step explanation:
When rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. To rotate a figure 180 degrees, you apply the rule (x, y) → (-x, -y). Start by using a coordinate grid with coordinates for each vertex of the figure. The center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. Write down the original coordinates of the shape you are going to rotate. Then, apply the rule. For example, coordinate (3, 2) becomes (-3, -2). Another example would be, coordinate (-4, -2) becoming (4, 2).
(-3,-2) this is your answer
How can you find the area of diameter
you are charged $16.05 after tax for a meal. Assume sales tax is 7%, what was the menu price for the meal?
[tex]1.07x=16.05[/tex]
[tex]16.05/1.07=15[/tex]
[tex]15=x[/tex]
The menu price for the meal is $15.
evaluate f(x) when x = -10
So, when x = -10.
If you notice, -10 is NOT in the domain (the domain is (-3,13))
so, there is no solution.
Answer: -24
Step-by-step explanation:
Step one :
For the first equation
Given that x=-10
F(x) =2x-4 if 3<x<10
x exists in this domain
Substituting x in the equation we have
F(-10)=2(-10)-4
F(-10)= -20-4
F(-10)=-24
Step two :
For the second equation
Given that x=-10
F(x) =x²-+3 if 10<=x<13
x does not exist in this domain