Answer:
-4
Step-by-step explanation:
1. Subtract the 5 from both sides
2. Now you have -2x=8. From here you are going to divide -2 from both sides to isolate the x value
3. Once you've done that you will have x=-4
which expressions are equivalent too the square root of 252
Answer:
[tex]6\sqrt{7}[/tex]
Step-by-step explanation:
If you bring 252 to its prime numbers, its 2, 2, 3, 3, and 7. Just multiply 2 and 3 and you get 6 root 7.
The expression equivalent to the square root of 252 is 6[tex]\sqrt{7}[/tex].
What are prime numbers?That number which can be divided by itself or 1 only. eg. 2, 3, 5, 7, 11, 13 etc.
Given value,
252
Expressed in prime numbers as:
252 = 2x2x3x3x7 or [tex]2^{2}[/tex] x [tex]3^{2}[/tex] x 7
∴ [tex]\sqrt{252}[/tex] = 2x3 [tex]\sqrt{7}[/tex] = 6 [tex]\sqrt{7}[/tex]
Hence [tex]\sqrt{252}[/tex] can be expressed as 6 [tex]\sqrt{7}[/tex]. Similarly any real number can be represented as the product of prime numbers.
To learn more about prime numbers, refer to the link:
https://brainly.com/question/9315685
#SPJ2
Samuel currently has an account balance of $3,439.96. He opened the account five years ago with a deposit of $3,104.31. If the interest compounds quarterly, what is the interest rate on the account?
Answer:
The interest rate on the account is 2.1%
Step-by-step explanation:
Compound interest is one that is added to the initial capital and on which new interests are generated. Money, in this case, has a multiplier effect because interest produces new interest. In other words, the initial capital increases in each period because the interests add up.
To calculate the final capital, the initial capital is multiplied by one plus the interest, raised to the number of periods:
[tex]A=P*(1+\frac{r}{n}) ^{n*t}[/tex]
where
A = Accumulated amount (principal + interest) P = Principal amount r = the interest rate n = the number of times the interest is compounded per year t = Time Involved in yearsIn this case:
A = $3,439.96P = $3,104.31r = ?n = 4t = 5Replacing, you get:
[tex]3,439.96=3,104.31*(1+\frac{r}{4}) ^{4*5}[/tex]
Now, solving:
[tex]\frac{3,439.96}{3,104.31} =(1+\frac{r}{4}) ^{20}[/tex]
[tex]\sqrt[20]{1.1081} =(1+\frac{r}{4})[/tex]
[tex]1.00514 =1+\frac{r}{4}[/tex]
[tex]1.00514 -1=\frac{r}{4}[/tex]
[tex]0.00514=\frac{r}{4}[/tex]
r=0.0051*4
r= 0.02056
In percentage it is expressed as: r= 2.056 %≅ 2.1 %
The interest rate on the account is 2.1%
Someone please help me
if a turtle moves at 1 1/3 kilometers per hour how long would it take for the turtle to travel 9 kilometers.
Answer:
33 hours
Step-by-step explanation:
[tex]\frac{11}{3} *9 =33[/tex]
Answer:
6 3/4 hours
Step-by-step explanation:
divide 9 by 1 1/3. You get 6.75 which is converted to 6 and 3/4 hours.
A basketball player scored 8 points in the 1st quarter 5 points during 2nd quarter 2 points in the 3rd quarter and 20 in the 4th quarter
Answer: 25
Step-by-step explanation: He scored 25 in the game
The sum of three consecutive even integers is 108 what is the largest number
Answer:
38
Step-by-step explanation:
if x is an even integer then the two other even integers are x+2 and x+4.
x+x+2+x+4=108
3x+6=108
3x=108-6
3x=102
x=102/3
x=34.
⇒the largest number from x, x+2 and x+4 is x+4.
x+4=34+4=38
Answer:
38
Step-by-step explanation:
good luck on your assignment
Is 10 closer to 3 or 4?
Answer:
4
Step-by-step explanation:
Answer:
If there's a zero in the tenths place and your round down, keep the zero in your answer. For example, 4.03 rounded to the nearest tenth in 4.0.
What is thr answer of (a-b) (a+2b)
Answer:
Step-by-step explanation:
Use FOIL method
F -> First
O Outside
I inside
L Last
(a - b)(a + 2b)= a*a + a *2b + (-b)*a + (-b)*2b
= a² + 2ab - ab - 2b²
Combine like terms
= a² + ab - 2b²
-30=5k+5 solve for k
Answer:
The answer is -7
5k=-30-5.
5k=-35.
k= -7.
Hi there! Hopefully this helps!
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Answer: [tex]\boxed{k = -7}[/tex] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]-30=5k+5[/tex]
Swap sides so that all variable terms are on the left hand side.
[tex]5k+5=-30[/tex]
Subtract 5 from both sides.
[tex]5k=-30-5[/tex]
Subtract 5 from −30 to get −35.
[tex]5k=-35[/tex]
Divide both sides by 5.
[tex]k=\frac{-35}{5}[/tex]
Divide −35 by 5 to get, you guessed it, -7!You can also do "5(-7) + 5 = ??" For proof.
If their is 300 unicorns and 200 dragons and 50 dragons fly away then 30 unicorns walk away how many are of each left?
Pls help.
Answer:
If 30 unicorns out of 300 walk away then it will be 300-30=270 unicorns left.
If 50 dragons fly away out of 200 then it will be 200-50=150.
Therefore there are 270 unicorns and 150 dragons left.
I hope this helps you...Thank you...
please solve and explain!!!
Answer:
I think thats false
Step-by-step explanation:
Tell them false there isn't much evidence and if you tried to search it up thats not correct or the correct way to solve it theyre trying to trick you.
is -6/11 a rational or irrational number?
Answer: I am pretty sure it is a rational number!
Step-by-step explanation:
An airport offers two shuttles that run different schedules. If both leave the airport at 4:00 pm, at what time will they next leave the airport together
Answer:
4:18 pm
Step-by-step explanation:
An airport offers two shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will they next leave the airport together.
Shuttle A leaves every 6 minutes
Shuttle B leaves every 9 minutes
Shuttle A: 4:00 pm
Leaves every 6 minutes
Next 4:06 pm
Next: 4:12 pm
Nex: 4:18 pm
Next: 4:24 pm
Shuttle B: 4:00 pm
Leaves every 9 minutes
Next: 4:09 pm
Next: 4:18 pm
Next: 4:27 pm
Next: 4:36 pm
The next time both shuttles will leave the airport together is 4:18 pm
5a+6b-10d=15c SOLVE FOR B
Fill in the blank with a constant, so that the resulting quadratic is the square of a binomial. \[x^2 + \dfrac{4}{5}x + \underline{~~~~}\]
Answer:
4/25Step-by-step explanation:
Given the incomplete quadratic equation [tex]\[x^2 + \dfrac{4}{5}x + \underline{~~~~}\][/tex], we are to complete it so that the result will be the square of a binomial. To do that, we will use the completing the square method.
Completing the square method is a way of completing a quadratic equation by solving for a constant to add that will make the quadratic equation a perfect square of a binomial.
To get the constant term using the method, we will take the square of the alf of the coefficient of x in the equation given.
Coefficient of x = 4/5
half of the coefficient of x = 1/2(4/5)
half of the coefficient of x = 4/10 = 2/5
Square of the half of the coefficient of x = (2/5)²
Square of the half of the coefficient of x = 4/25
Hence the constant that we will use to complete the equation to make if a square of a binomial is 4/25
The equation will become:
[tex]= \[x^2 + \dfrac{4}{5}x +\dfrac{4}{25} \\\\= \[x^2 + \dfrac{4}{5}x +(\dfrac{2}{5})^2\\\\= (x +\dfrac{2}{5})^2[/tex]
Hence the constant value that will make the resulting quadratic the square of a binomial is 4/25
Answer:
4/25
Step-by-step explanation:
Suppose the quadratic is the square of the binomial $x+c.$ We have $(x+c)^2 = x^2+2cx + c^2.$ Comparing the linear term of $x^2 + 2cx+c^2$ to the linear term of $x^2 + \frac{4}{5}x + \underline{~~~~},$ we have $2c = \dfrac{4}{5},$ so $c = \dfrac{2}{5}.$ Therefore, the constant term is
\[c^2 = \left(\dfrac{2}{5}\right)^2 = \boxed{\frac{4}{25}}.\]
A line passes through the points (−4, −18) and (0, 2). Which is an equation of the line?
Answer:
y=5x+2
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-4,-18), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-4 and y1=-18.
Also, let's call the second point you gave, (0,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=0 and y2=2.
Now, just plug the numbers into the formula for m above, like this:
m= (2 - -18)
------------
(0 - -4)
or...
m= 20
-------
4
or...
m=5
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=5x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(-4,-18). When x of the line is -4, y of the line must be -18.
(0,2). When x of the line is 0, y of the line must be 2.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=5x+b. b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-4,-18) and (0,2).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(-4,-18). y=mx+b or -18=5 × -4+b, or solving for b: b=-18-(5)(-4). b=2.
(0,2). y=mx+b or 2=5 × 0+b, or solving for b: b=2-(5)(0). b=2.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(-4,-18) and (0,2)
is
y=5x+2
When a negative and positive number is added, is the sum going to be negative or positive?
Answer:negative
Step-by-step explanation:
Answer:
It depends on the values of the numbers.Step-by-step explanation:
If the positive number has a greater value than the negative number,adding them together will give you a positive answer.But,if the negative number has a greater value than the positive number, adding them together will give you a negative answerJosh takes a load of dress shirts to the dry cleansers the amount he pays for dry cleaning (f) is given by the equation f=3-2s where is the number of shirts what is the constant of proportionally in terms of the cost per shirt
Answer:
s= number of shirts
3/2= constant of proportionality
Step-by-step explanation:
Josh takes a load of dress shirts to the dry cleaners. The amount he pays for dry cleaning (
f. is given by the equation f=3/2s, where s is the number of shirts. What is the constant of proportionality in terms of the cost per shirt?
Given:
f= 3 / 2s
Where,
f= amount Josh paid for dry cleaning
s= number of shirts
3= constant of proportionality
2= amount paid per shirt
For example, if Josh took 3 shirts to the dry cleaner, the amount Josh will pay is
f= 3 / 2s
= 3 / 2(3)
= 3 / 6
= 1 / 2
f= 1 /2
what is the opposite of -1,679?
Answer:
1679 ?
Step-by-step explanation:
Do you have more information?
Which property was used to write the equation in step 2? Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18. distributive property addition property of equality subtraction property of equality division property of equality
Answer:
Distributive property
Step-by-step explanation:
Answer:
Distributive property
Step-by-step explanation:
I got it rigth on edge
hope this helps!
what is 5+10/5 i cant find the answer
we'll divide 10 by 5..the answer is 2 then we'll add it to the other 5 making it to be 7
Answer: 7
How to: To add fractions, find the LCD and then combine.
Simplify (2 raised to- 1 x 3 raised to 2 )/ (2 raised to 2 x 3 raised to -4 )the who raised to 7/2 x (2 raised to -2 multiplied by 3 raised to 3 )/ (2 raised to 3 multiplied by 3 raised to -5) whole raised to -5/2
Answer:
12
Step-by-step explanation:
Given the expression:
[tex](\dfrac{(2^{-1}\times 3^2)}{(2^{2}\times 3^{-4})})^\frac{7}{2} \times (\dfrac{(2^{-2}\times 3^3)}{(2^{3}\times 3^{-5})})^\frac{-5}{2}[/tex]
We have to simplify the above expression.
Let us have a look at a few formulas:
[tex]1.\ a^b = \dfrac{1}{a^{-b}}[/tex]
[tex]2.\ a^b\times a^c = a^{b+c}[/tex]
[tex]3.\ (a^b ) ^c = a^{bc}[/tex]
Now, let us try to solve the given above expression using the formulas:
[tex]\Rightarrow (\dfrac{(3^{4}\times 3^2)}{(2^{2}\times 2^{1})})^\frac{7}{2} \times (\dfrac{(3^{5}\times 3^3)}{(2^{3}\times 2^{2})})^\frac{-5}{2}[/tex]
[tex]\Rightarrow (\dfrac{(3^{4+2})}{(2^{2+1})})^\frac{7}{2} \times (\dfrac{(3^{5+3})}{(2^{3+2})})^\frac{-5}{2}\\\Rightarrow (\dfrac{3^{6}}{2^{3}})^\frac{7}{2} \times (\dfrac{3^{8}}{2^{5}})^\frac{-5}{2}\\\Rightarrow (\dfrac{3^{\frac{42}{2}}}{2^{\frac{3\times 7}{2}}})\times (\dfrac{2^{5}}{3^{8}})^\frac{5}{2}\\\Rightarrow (\dfrac{3^{21}}{2^{\frac{21}{2}}})\times (\dfrac{2^{\frac{5\times 5}{2}}}{3^{\frac{8\times 5}{2}}})[/tex]
[tex]\Rightarrow (\dfrac{3^{21}}{2^{\frac{21}{2}}})\times (\dfrac{2^{\frac{25}{2}}}{3^{20}})\\\Rightarrow {3^{1}}\times {2^{\frac{25-21}{2}}}\\\Rightarrow 3\times 4 \\\Rightarrow \bold{12}[/tex]
algebraic expression for x more than 5.
Answer:
5 + x
Step-by-step explanation:
x more than 5 is 5 + x
Answer:
5+x
Step-by-step explanation:
x more than 5.
More than means it comes after
5+x
If B is the midpoint of AC, AC=CD, AB=3x+4, AC=11x-17, and CE=49, find DE.
Answer:
11
Step-by-step explanation:
AB = 3x + 4 and AC which is twice of AB is equal to 11x - 17
2 (3x + 4) = 11x - 17
6x + 8 = 11x - 17
8 + 17 = 11x - 6x
25 = 5x
5 = x
AC = CD = 11x - 17 ➡ 11×5 - 17 = 38
CD = 38 and DE = 49 - 38 = 11
Question 8 The measurements of the length and width of a rectangular kitchen are 5.34 m and 3.48 m respectively. a Calculate in m² the exact area of the kitchen. b Write down both the length and the width correct to 1 dp. just answer b
Answer:
a) 18.5832 m^2
b) length 5.34 ≈ to one decimal point 5.3m
width 3.48 ≈ to one decimal point 3.5m
Step-by-step explanation:
A boat whose speed is 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream is ___ km/hr.
Answer:
The speed of the stream is 5 km/hr.
Step-by-step explanation:
- Let's assume that the speed of stream is = x km/h
- Speed of boat in still water v = 15 km/h
- Total time taken = 4 hour and 30 mins or 9/5 hrs
- Distance covered (one way) = 30 km/s
Then,
Speed of boat downstream =( 15 + x ) km/h
Time taken downstream = (30/15 + x ) hrs
As time = distance / speed
Speed of boat upstream = ( 15 - x ) km/h
Time taken upstream =( 30/15 - x ) hrs
Now,
Total time taken = Time taken downstream + Time taken upstream
or, 9/2 = (30/15 + x ) + (30/15 - x )
or, x = 5 km/h
The speed of the stream is 5 km/h
I hope my answer helps
What is the difference between -4 and 6?
-10
-2
2
10
Answer:
the answer is 10
Step-by-step explanation:
*please give me brainliest, i only need four more*
Answer:
-10
I did the math
(-4)-6
if 5 a solution of 3x + 30 = 9x?
Answer:
5 is a solution
What would be a good lower bound for the number of jelly beans in the jar?
Answer:
I think you need to link the question or a picture of the jar
Step-by-step explanation:
Use the graph below to evaluate, f(1): A f(1)=4 B f(1)=3.5 C f(1)=2 D f(1)=3
F(1) would be the y value of where the line is at x =1
At x = 1, the line is at y =3
The answer is D. F(1) = 3