Answer:
2^x = 2*2*2*2*2
2^X = 2^5
x=5
Step-by-step explanation:
3y + 8 = ½ y + 28 Find y
[tex]\text{Hi there! :]}[/tex]
[tex]\large\boxed{y = 8}[/tex]
[tex]3y + 8 = 1/2y + 28\\\\\text{Subtract 8 from both sides:}\\\\3y + 8 - 8 = 1/2y + 28 - 8\\\\3y = 1/2y + 20\\\\\text{Subtract 1/2y from both sides:}\\\\3y - 1/2y = 1/2y - 1/2y+ 20\\ \\\text{Convert 3y to 6/2y to make subtracting easier:}\\5/2y = 20\\\\\text{Divide both sides by 5/2 (Multiply by reciprocal, or 2/5):}\\\\\\5/2y * 2/5 = 20 * 2/ 5\\\\y = 8[/tex]
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.
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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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
The table shows the distance that two trains are from Center Station at various times of the day.
Miles From Center Station
Time of day
Train 1
Train 2
11:30
13
7
12:00
31
27
12:45
58
57
How do the speeds of the trains compare?
Train 1 is traveling 1 mile per hour faster than train 2.
Train 1 is traveling 6 miles per hour faster than train 2.
Train 2 is traveling 4 miles per hour faster than train 1.
Train 2 is traveling 5 miles per hour faster than train 1.
Answer: Train 2 is traveling 4 miles per hour faster than train 1.
Step-by-step explanation:
Answer:
Train 2 is traveling 4 miles per hour faster than train 1.
Step-by-step explanation
:)))))
Create a table and graph the equation y+3x=x^2. Identify the intercepts (if any)
Answer:
.
Step-by-step explanation:
(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.
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!
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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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:
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.
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 .
the circumference of a circle is 264 cm find its area
Answer:
5544 cm²
Step-by-step explanation:
Radius of circle = r
Circumference = 2πr
2πr = 264
22/7*r = 132
r = 132*7/22
= 42 cm
Area = πr²
= 22/7*42*42
= 5544 cm²
negative sixteen plus the quotient of a number and -4 is -3
Answer:
The number is 76
Step-by-step explanation:
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
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pls follow me!!
Answer:
Step-by-step explanation:
like u told me social studis
<3
What is standard form?
Y = mx + b
O Ax+By = C
a^2 + b^2 = 2^2
m is the slope
Answer:
I'm pretty sure y=mx+b is standard form, unless I'm reading the question wrong.
Step-by-step explanation:
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
Irrational numbers definition
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
Solve equation for y. 6=4x+9y
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.
Given h(x) = -3x – 5, solve for x when h(x) = –2.
The value of x will be equal to -1 when the value of h(x) is -2.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that h(x) = -3x – 5, and the value h(x) = -2. The value of x will be calculated as below:-
h(x) = -3x – 5,
-2=-3x -5
3=-3x
x=-1
Therefore, the value of x will be equal to -1 when the value of h(x) is -2.
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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
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.
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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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
please solve this step by step I'll mark you as brainliest b(a-6)=
9z − 6z − –7z + –4 = 16 z=
Answer:
z=-[tex]\frac{2}{3}[/tex]
Step-by-step explanation: