Answer:
slope of line is 0.
Step-by-step explanation:
Slope of a line passing through (x1,y1) and (x2,y2) is given by
m = (y2-y1)/(x2-x1)
Given points are (10,5) and (9,5)
thus
slope = (5-5)/(9-10) = 0/-1 = 0
Thus, slope of line is 0.
When slope of line is zero it means that the line the which passes through given point is parallel to x-axis.
The slope of the line that passes through the points (10,5) and (9,5) is 0.
Using slope formula,
m = y₂ - y₁ / x₂ - x₁
Therefore,
(10,5) (9,5)
m = 5 - 5 / 9 - 10
m = 0 / -1
m = 0
Therefore, the slope of the line that passes through the points (10,5) and (9,5) is 0.
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Order 5/8 , 0.5 , 58.3% greatest to least
Answer:
0.5,5/8, 58.3
Step-by-step explanation:
0.5 is 1/2, and 5/8 is 1/8th larger than 1 half, and 58.3 is the only one with a whole number, so its the largest. Hope this helped, can i maybe get brainliest :D
The required ascending order is given as 0.5, 58.3%, and 5/8.
Given that,
To arrange the given number in ascending order,
5/8 , 0.5 , 58.3%
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
5 / 8 = 0.625
58.3% = 0.583
So,
0.5 < 58.3% < 5/8
Thus,the required ascending order is given as 0.5, 58.3%, and 5/8.
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An electrician charges a set fee of $150 for every house call and then charges an additional $70 per hour. Write an equation for C,C, in terms of t,t, representing the total cost of the electrician's services if the electrician spends tt hours at the house working.
Answer:
Step-by-step explanation:
c=70t+150
A queen ant lays 1.83 x 10^6 eggs over a period of 30 days. Assuming she lays the same number of eggs each day, about how many eggs does she lay in one day? Express your answer in scientific notation.
9000 divided by thirty six long division***
Answer:
250
Step-by-step explanation:
Simplify 3r + 2(t + 5r).
Answer:
13r + 2t
Step-by-step explanation:
Step 1: Write out expression
3r + 2(t + 5r)
Step 2: Distribute
3r + 2t + 10r
Step 3: Combine like terms (r)
13r + 2t
On highway 77, the Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4), how far is it from the Elkin exit to the Mt. Airy exit.
Given :
The Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4).
To Find :
How far is it from the Elkin exit to the Mt. Airy exit.
Solution :
E(-5,-2) , D(-1 ,4 ) .
It is also given that Dobson exit is halfway between the Mt. Airy exit and the Elkin exit.
Let , location of Elkin exit is A(h,k) .
So , point D in terms of A and E is given by :
[tex](\dfrac{h-5}{2},\dfrac{k-2}{2})[/tex] .
Comparing it with given D :
[tex]\dfrac{h-5}{2}=-1\\\\h=3[/tex] [tex]\dfrac{k-2}{2}=4\\\\k=10[/tex]
Therefore , the location of Mt. Airy exit is ( 3, 10 ) .
Distance between Elkin exit to the Mt. Airy exit.
[tex]D=\sqrt{(5-3)^2+(-2-10)^2}\\\\D=12.17\ units[/tex]
Therefore , distance between Elkin exit to the Mt. Airy exit is 12.17 units .
Hence ,this is the required solution .
A point lies on AB and is 1/4 the distance from A to B. Point A is located at (2, 8) and point B is located at (8, 5).
What are the coordinates of this point?
Answer:
[tex](\frac{7}{2} ,\frac{29}{4} )[/tex]
Step-by-step explanation:
the Johnsons are taking a cross country road trip. they plan to drive 1300 miles over two days, stopping for the night at the halfway point. How many hours will they drive for the first day if they average 65 mph over the course of the trip?
Answer:4
Step-by-step explanation:
Answer:
10 Hours
Step-by-step explanation:
1300mi divided by 2
= 650 Miles/65mph
= 10 Hours
Which number is closest to the square root of 71 ?
Answer:8.4 or 8 depends on the rounding
Step-by-step explanation:
Answer: Its 8 and 9!
Step-by-step explanation:
negative sixteen plus the quotient of a number and -4 is -3
Answer:
The number is 76
Step-by-step explanation:
9z − 6z − –7z + –4 = 16 z=
Answer:
z=-[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
5x +14+13x-2 i need help on these type of problems please
Answer:
18x+12
Step-by-step explanation:
5x+14+13x-2
combine Like terms:
5x+13x
14-2
18x+12
Answer:
The answer is 18x+12.
I think after 14 there should equal sign if you want to know what x equals to.
HELP ME PLEASE!
Delbert needs to mix a 20% acid solution with a 50% acid solution to create
100 milliliters of a 26 % solution. How many millileters of each solution must Delbert use?
Answer: Delbert must mix
_____ milliliters of the
20% solution and
_____ milliliters of the 50% solution.
Answer:
Step-by-step explanation:
26% is (26-20)/(50-20) = 6/30 = 1/5 of the way between 20% and 50%. That means 1/5 of the solution is 50% acid.
50% acid: 1/5 · 100 mL = 20 mL
20% acid: 100 mL -20 mL = 80 mL
Delbert must mix 80 mL of 20% acid and 20 mL of 50% acid.
_____
Maybe you'd like to see an equation. Let x represent the amount of 50% acid required. Then 100-x is the amount of 20% acid needed. The amount of acid in the mix is ...
0.50(x) +0.20(100 -x) = 0.26(100)
(0.50 -0.20)x = (0.26 -0.20)100 . . . . subtract 0.20(100)
x = (0.26 -0.20)/(0.50 -0.20)×100 = 20
This last expression should look a lot like the one we started with in this answer. It shows you how you can almost write down the answer to mixture problems without a lot of work.
The table above gives selected values of twice-differentiable functions f and g, as well as the first two derivatives of g. If f′ (x)=3 for all values of x, what is the value of [tex]\begin{equation}\int_{2}^{4} f(x) g^{\prime \prime}(x) d x\end{equation}[/tex]
Answer:
63
Step-by-step explanation:
∫₂⁴ f(x) g"(x) dx
Integrate by parts.
If u = f(x), then du = f'(x) dx.
If dv = g"(x) dx, then v = g'(x).
∫ u dv = uv − ∫ v du
= f(x) g'(x) − ∫ g'(x) f'(x) dx
f'(x) is constant at 3, so:
= f(x) g'(x) − ∫ 3 g'(x) dx
= f(x) g'(x) − 3 g(x)
Evaluate from x=2 to x=4.
[f(4) g'(4) − 3 g(4)] − [f(2) g'(2) − 3 g(2)]
[(13) (7) − 3 (9)] − [(7) (1) − 3 (2)]
64 − 1
63
The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.
Given that,
The table above gives selected values of twice-differentiable functions f and g,
The first two derivatives of g. If f′ (x) = 3 for all values of x.
We have to determine,
What is the value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex].
According to the question,
To obtain the value of given function, integrating the function,
[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex]
Integrating by using by-parts.
[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)\\\\if\ u = f(x), \ then \ du = f'(x)dx\\\\if \ dv = g"(x)dx, \ then \ v = g'(x)\\\\[/tex]
Then,
[tex]\int u\ dv = uv\ - \ \int v \ du\\\\= f(x) \ g'(x) - \int g'(x) f'(x) \ dx\\[/tex]
if f'(x) is constant at 3,
Then,
[tex]= f(x) g'(x) - \int g'(x)\dx\\\\= f(x) g'(x) -3g(x)[/tex]
Substitute from x = 2 to x = 4 then evaluate,
[tex]= [f(4)\ g'(4) - 3 \ g (4)]- [f(2)\ g'(2) - 3 \ g (2)]\\\\= [(13).(7) - 3.(9)] - [7.(1)- 3.(2)]\\\\= [91-27} - {7-6}\\\\= 64-1\\\\= 63[/tex]
Hence, The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.
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7 ∙ 1 – 4 ∙ 1/4. Please answer!!!
Answer: 3/4
Step-by-step explanation: Doing order of operations we first do 7x1=7, then 7-4=3, then finally do 4x1/4=3/4.
Hope this helps! :)
Answer:
= 6
Step-by-step explanation:
7 x 1 - 4 x 1/4
7 - 4 x 1/4
7 - 1
= 6
hope this helps
If f(x) = 2x2 + 1, what is f(x) when x = 3?
Answer:
When x is equal to 3, f(x)= 13
Step-by-step explanation:
f(x) is basically y so it is asking us to find y when x=3
2x2+1
2*3*2+1
12+1= 13
When x is equal to 3, f(x)= 13
Hope this helps!
Simplify the expression
4r-7r +8+ r
Answer:
-2r+8
Step-by-step explanation:
4r-7r+8+r
5r-7r+8
-2r+8
-2r+8
The first step is to combine like terms. These would be 4r, -7r, and r since they have the same variable. This gives you -2r. Since there are no other like terms to combine, you end up with -2r+8
Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below. 4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 11 3x – 4 = 3x + 4 How can her partial solution be interpreted?
Answer: C
Step-by-step explanation: I just did it in e2020
Answer:
C
Step-by-step explanation:
I took the quiz edge2021
Irrational numbers definition
can someone please help me i don’t understand it
Answer:
d= bv + r
Treat it like you would a normal equation. Multiply by b and add r to isolate d.
arun had 50 rupees if he had spent 3 by 5 of his money on an alarm clock how much money is he left with him
Answer:
total money=rupees 50
3/5 of 50= rupees 30
money he spent = rupees 30
money he's left with =50-30=20
mark this as brainliest!!!!
pls follow me!!
Answer:
Step-by-step explanation:
like u told me social studis
<3
2/3 of the difference of a number t and 8
Answer:
Step-by-step explanation:
Begin at the end. By this I mean to start at the end of that expression and work your way backwards to the beginning. "The difference of t and 8" looks like this: t - 8. "2/3 of" means we are multiplying (the word "of" means to multiply): 2/3(t - 8) is your algebraic translation of that expression.
The required mathematical expression of a statement is 2 / 3 (t - 8 ).
Given that,
To transform the statement into the mathematical form,
2/3 of the difference between a number t and 8
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
given statement,
2/3 of the difference between a number t and 8
implies,
The difference between t and 8 is,
= t - 8
Now the difference is 2/3, now the statement become,
= 2 / 3 (t - 8 )
above equation is the required mathematical expression.
Thus, the required mathematical expression of a statement is 2 / 3 (t - 8 ).
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Solve equation for y. 6=4x+9y
Is 5 a rational number or an irrational number?
Answer:
It is a rational number
Step-by-step explanation:
Answer:5 is a rational number
Step-by-step explanation:
The following table gives the number of people picking strawberries in a field and the corresponding number of hours that those people worked picking strawberries. Graph the ordered pairs from the table
Answer:
Step-by-step explanation:
Ordered pair (x, y) on a graph shows the two values,
x - values → Horizontal distance of the point form the origin.
y - values → Vertical distance of the point from the origin.
Example:
If we have to ploy (1, 3) on the graph.
We will plot a point which has a horizontal distance of 1 unit (grid) and 3 units vertical distance from the origin.
Now we will plot the points given in the table.
please solve this step by step I'll mark you as brainliest b(a-6)=
g(a) = a + 2. Find f(-7).
Answer:
Step-by-step explanation:
g(-7) = -7 + 2 = -5
y - 1 > -7 A.y ≥ -6 B.y > -6 C.y -8
can yall pls help me im kinda dumb
The answer is D.
Turning fractions into decimals will help you eliminate answers!!
How I got D:
-2 3/4 can be turned into -2.75 by dividing 3/4.
-2 3/4 is the smallest number out of all of them so it has to be first.
-2.67 is the second smallest value.
3/5 is .60 making it the third smallest value.
4 is the second largest value.
17/4 is 4.25, which is the largest.
A is not correct because -3/5 is not the smallest number.
B Is not correct because the largest number is 17/4.
C is not correct because -2.67 is not the smallest number.
(4 x 10^4) x (2 x 10^-5)
A) 8 x 10^1
B) 8 x 10^-1
C) 2 x 10^9
D) 6x 101-1.