Answer:
X¹= -2 + 2√33
X²= -2 - 2√33
Step-by-step explanation:
X × (X+2) = 32
X² + 2X = 32
X² + 2X - 32= 0
Δ=132
X= -2 ± 2√33
X¹= -2 + 2√33
X²= -2 - 2√33
(You can change the 2√33 to 11,5 if you want to)
How many 5/16 are in. 1. 9/16
Answer:
The answer is 1.8.
Step-by-step explanation:
Solve this equation, and show work. worth 40 points.
Answer:
[tex]b=-3[/tex]
Step-by-step explanation:
We have:
[tex]25^b\cdot 125^{b+2}=125^b[/tex]
Notice that 125 is the same as 5³. So:
[tex]25^b\cdot ((5)^3)^{b+2}=((5)^3)^b[/tex]
Also, 25 is the same as 5². So:
[tex]((5)^2)^b\cdot ((5)^3)^{b+2}=((5)^3)^b[/tex]
Power of a power property:
[tex]5^{2b}\cdot 5^{3(b+2)}=5^{3b}[/tex]
Power of a product property:
[tex]5^{2b+3(b+2)}=5^{3b}[/tex]
Since they have the same base, the exponents are equal. So:
[tex]2b+3(b+2)=3b[/tex]
Solve for b. Distribute on the left:
[tex]2b+3b+6=3b[/tex]
Combine like terms on the left:
[tex]5b+6=3b[/tex]
Subtract 5b from both sides:
[tex]6=-2b[/tex]
Divide both sides by -2. So, the value of b is:
[tex]b=-3[/tex]
And we're done!
15. Pat and Camilla are working with expressions with rational exponents. Listed below are what each
believes to be correct. Use the properties of exponents to determine the correct answer. Write
the correct answer in the space provided.
Answer:
Step-by-step explanation:
Pat believes that [tex]\sqrt{2}+\sqrt{8}=(2)(2)^{\frac{1}{2}}[/tex]
[tex]\sqrt{2}+\sqrt{8}=\sqrt{2}+\sqrt{4\times 2}[/tex]
[tex]=\sqrt{2}+2\sqrt{2}[/tex]
[tex]=3\sqrt{2}[/tex]
[tex]=3(2)^{\frac{1}{2} }[/tex]
But [tex]2(2)^{\frac{1}{2}}\neq 3(2)^{\frac{1}{2}}[/tex]
Therefore, Pat's belief is not correct.
Camilla believes that [tex]\sqrt{2}+\sqrt{8}=3\sqrt{2}[/tex]
Which is correct as we have calculated above.
Therefore, [tex]\sqrt{2}+\sqrt{8}=3\sqrt{2}[/tex] will be the correct answer.
In Mrs. Bishop’s closet, there are 10 shirts and 15 skirts.
(a) Find the simplified ratio of shirts to skirts.
(b) If the ratio of shirts to skirts doesn’t change, but now the closet has 75 items in it. How many skirts will there be?
Answer:
(a) 2/3
(b) 45
Step-by-step explanation:
(a)
The "ratio of shirts to skirts" means "the number of shirts divided by number of skirts."
10 shirts
15 skirts
shirts : skirts = 10/15 = 2/3
Answer: 2/3
(b)
In the simplified ratio, there are 2 shirts for every 3 skirts.
Add 2 + 3 = 5.
The ratio of skirts to total number of items of clothing is 3:5.
There are 3 skirts to each 5 items of clothing.
Set up a proportion.
3/5 = x/75
5x = 3 * 75
x = 3 * 15
x = 45
Answer: 45
2 less than five times a number is equal to -17
Answer:
negative 3
Step-by-step explanation:
The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?
Answer:
35
Step-by-step explanation:
1. Set up a equation.
2. X is the first, so the ones after x are x+2, x+4, x+6, x+8, and x+10.
3. That means that x+x+2+x+4+x+6+x+8+x+10=204.
4. Simplify. You would get that 6x+30=204.
5. Solve for x. 6x=174, so x=29.
6. Get the fourth number in the sequence. 29+6=35.
Answer: The fourth number in this sequence is 35.
Use the GCF and distributive property to find the expression that is equivalent of 48+56
Write the function in standard form.
f(x) = - 3(x - 7)2 + 15
Answer:
The answer is f ( x ) = − 6 x + 57
Step-by-step explanation:
The line segment XY is shown in the picture. Which transformation of line segment XY will produce a line segment X'Y' that is parallel to line segment XY?
A
Reflection over the y-axis.
B
Rotation of 90 degrees about point X.
C
Translation up 7 units.
D
Rotation of 180 degrees about point X.
Answer: C
Step-by-step explanation:
Jerome biked 1.2 miles. Then he ran 0.75 mile. How far did Jerome go you brainlyest if answerd by you
Answer:
The answer would be 1.95
Step-by-step explanation:
According to General Social Survey of 2016, the population distribution of number of years of education for self-employed individuals in the United States has a mean of 12.9 and a standard deviation of 4.0. The distribution is skewed slightly to the right. For each sample size below: Describe the mean, standard error, and shape of the sampling distribution of the means for a random sample of: (7 pts) a) 16 residents b) 49 residents c) 121 residents Describe the pattern as n increases
Answer:
a) Mean is 12.9
b) Standard Error
i) n = 16, Standard Error = 1
The shape of the sampling distribution means is not normal
ii) n = 49 , Standard Error = 0.5714285714
The shape of the sampling distribution means is normal
iii) n = 121, Standard Error = 0.3636363636
The shape of the sampling distribution means is normal
c)Describe the pattern as n increases
As the number of random samples(n) increases the value for the standard error decreases
Step-by-step explanation:
Central Limit Theorem states that
if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.
a) 16 residents
Mean = 12.9
Standard Error = Standard Deviation /√n
= 4/√16
= 4/4
= 1
n < 30, hence, The shape of the sampling distribution means is not normal
b) 49 residents
= Mean = 12.9
Standard Error = Standard Deviation /√n
= 4/√49
= 4/7
= 0.5714285714
n > 30, hence, The shape of the sampling distribution means is normal
c) 121 residents
Mean = 12.9
Standard Error = Standard Deviation /√n
= 4/√121
= 4/11
= 0.3636363636
n > 30, hence, The shape of the sampling distribution means is normal
Describe the pattern as n increases
As the number of random samples(n) increases the value for the standard error decreases
solve for b
12=b/3-8
Answer:
b=60
Step-by-step explanation:
Add 8 to both sides to receive the equation of 20=b/3
Multiply all sides by 3 to get 60 as b
Simplify:
1) (3x2y3)2
Answer:
6x²y³ I think n hope it's right
An investment of $6,530 earns interest at the rate of 4% and is compounded quarterly. What is the accumulated value of the investment at the end of 8 years?
Answer:
$8,978.36
Step-by-step explanation:
Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co-workers. Sam buys a case of water than contains 36 bottles and sells three times as they bottles as Sylvia sold to his co-workers. How many bottles of water did Sylvia sell if they ended up with the same number of bottles of water left over?
Answer: a
Step-by-step explanation:
2 (-4x + 2)
What does this equal
Answer:
-8x+4
Step-by-step explanation:
Answer:
-8x+4
Step-by-step explanation:
Do you like a newspaper has letters to the editor for 60 people. If it’s number represents 5% of all the newspaper readers how many readers of the newspaper have
Answer:
5÷100
=0.05
0.05×60
=3
Answer:
1200 readers
Step-by-step explanation:
Let x = number of readers
x* 5% = 60
Change to decimal form
x* .05 = 60
Divide each side by .05
x * .05/.05 = 60/.05
x =1200
Doreen Schmidt is a chemist. She needs to prepare 24 of a 8% hydrochloric acid solution. Find the amount of 12% solution and the amount of 6% solution she should mix to get this solution.
Step-by-step explanation:
12x+6(24-x)=7*24
12x+144-6x=168
12x-6x =168-144
6x=24
/6
x=4 ounces 12.00%
20 ounces 6.00%
If the variance of the data values in a population is 225, what is the standard
deviation of the data values?
a.15
b.17
c.11
d.13
(apex)
Answer:15
Step-by-step explanation:
Apex
I think of a number, multiply it by three, and add fout I get twenty two.
a) Using the statement above, form an equation.
Use the letter 'X' for the unknown number.
b)
Solve the equation.
Answer:
X times 3 + 4 =22
X=6
Step-by-step explanation:
22-4=18
18/3=6
Andrew brings juice for lunch every 5 days and Hannah brings juice every 7 days they both brought juice today . How many day will it be before they both bring juice ?
Answer:
35 days
Step-by-step explanation:
Andrew brings juice for lunch every 5 days and Hannah brings juice every 7 days
Find the lowest common multiple of 5 and 7
Andrew (every 5 days) = 10, 15, 20, 25, 30, 35, 40, 45, 50
Hannah (every 7 days) = 14, 21, 28, 35, 42, 49, 56
The lowest common multiple of 5 and 7 is 35
Therefore, if Andrew and Hannah both brought juice today, it will take 35 days before they will both bring food again on the same day.
What is the quotient for 6 and 1/2 divided by 3/4
Answer:
I believe it is 4
Step-by-step explanation:
While jumping rope, Juan jumped 24 times in 30 seconds. At this rate, how many times will he jump in 50 seconds?
Answer:
40
Step-by-step explanation:
In 50 times Juan will jump 40 times.
What is unitary method ?Unitary method is first finding the value of a single unit and then deriving the required units from the given data.
For example - : A can eat 2 bananas in 2 seconds.So he can eat one banana in 1 second.From this we can calculate how many bananas he can eat in any given time.
According to the given question Juan jumped 24 times in 30 seconds.
∴ In 1 sec Juan will jump 24/30 times which is
= 4/5 times.
So, in 50 secs Juan will jump ( 4/5 × 50 ) = 40 times.
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find the least number which must be added to 6412 to make it a perfect square
Answer:
The smallest number you can add to 6412 to make it a perfect square is 149. Which would make 6561, and be the square 81
Step-by-step explanation:
Could someone help me with number 17.
Answer:
y=-7
Step-by-step explanation:
if g(x) is g(-2) that means that x=-2 so we plug that in so 5*-2+3
5*-2+ -10
-10+3+ -7
so y=-7
Consider the statement “Worldwide, there are more than $2.5 trillion in credit card transactions annually.”
What is the daily average dollar amount of transactions? Round to the nearest hundred million dollars.
Answer:
3 trillion
Step-by-step explanation:
because just do the math bu bl I really dk
An elevator is 2/3 full. The people in the elevator weigh 1/3 ton altogether. How many tons can the elevator carry when it is completely full?
1/2 ton
2 ton
1 tons
1/6 ton
Answer:
Half of a ton
Step-by-step explanation:
2/3 of the elevator are already full and the elevator already weighs 1/3 of ton.The elevator needs 1/3 more of people to make the elevator full so that would be half of 1/3 of a ton which is a sixth.So add 1/6 and 1/3 together ams you get 1/2.
Expand 2(n+7).
2(n+7) = ?
Answer:
2n+14
Step-by-step explanation:
A full 17 oz bottle of spring water is leaking half of an ounce a minute into an empty bottle. How long will it take for the two bottles to have the same amount of water
Answer:
8.5 minutes
Step-by-step explanation:
the bottle will have leaked half into the 2nd bottle, meaning the 2nd bottle has half too
It will take 17 minutes for the two bottles to have the same amount of water.
What is unit rate?Something calculated for one is called unit rate.
Given that, A full 17 oz bottle of spring water is leaking half of an ounce a minute into an empty bottle.
To have same amount of water both the bottles will have 17/2 = 8.5 ounces of water in them,
Since, it takes a minute to leak or fill half of an ounce,
Therefore, one ounce will take 2 minutes.
Therefore, 8.5 ounces will take = 8.5×2 = 17
Hence, it will take 17 minutes for the two bottles to have the same amount of water.
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Coach Brown made 50 pints of Gatorade for his team. How many gallons did he make?
Answer:
6.25 gallons
Step-by-step explanation:
Answer:
6.25
Step-by-step explanation: