Answer:
t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))
Step-by-step explanation:
Solve for t:
z = (h t^2)/2 + t q_1
z = (h t^2)/2 + t q_1 is equivalent to (h t^2)/2 + t q_1 = z:
(h t^2)/2 + t q_1 = z
Divide both sides by h/2:
t^2 + (2 t q_1)/h = (2 z)/h
Add q_1^2/h^2 to both sides:
t^2 + (2 t q_1)/h + q_1^2/h^2 = (2 z)/h + q_1^2/h^2
Write the left hand side as a square:
(t + q_1/h)^2 = (2 z)/h + q_1^2/h^2
Take the square root of both sides:
t + q_1/h = sqrt((2 z)/h + q_1^2/h^2) or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)
Subtract q_1/h from both sides:
t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)
Subtract q_1/h from both sides:
Answer: t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))
ana sold $234,654 in Sales. She
earns a 14.5% commission on all
Sales. Find her commission
Answer:
34024.83
Step-by-step explanation:
if ad and pm are medians of two similar triangles abc and pqr such that ad:pm=4:9, then calculate ar. triangle abc/ar. triangle pqr
Answer:
4/9
Step-by-step explanation:
ad(base)/2 = abc
4x(4y)/2 = 4xy/2 = 2xy
pm(base)/2 = pqr
9x*9y/2 = 9xy/2 = 4.5xy
2xy/4.5 xy = 2/4.5 = 4/9
I'm not really sure, hopefully it works. I suck at geometry.
Write an integer for this situation: a profit of $12
Answer:
+12
Step-by-step explanation:
How do you find the slope of (-2,-2) and (4,1) the line passing through the points
someone please help me with this
3x - y = 6 [x]
Answer: x=6+y/3
Step-by-step explanation:
3x=6+y
x=6+y/3
In the expression (x^2 + 3), the base is ?
Help plssssss
1. (x +3) 2
2. 6÷2(1+2)
3. 15-1(12÷4+1)
PLEASE HELP.I WILL MARK YOU BRAINLIEST
A baseball team won 16 games and lost 11. At this rate, how many games will it win in a 162-game schedule?
==========================================================
Explanation:
The team won 16 games and lost 11 so far. At this point in the season, they played 16+11 = 27 games total. Their win rate is 16/27.
Set this equal to x/162 which is the win rate for winning x games out of 162 played over the entire season.
Solve for x.
x/162 = 16/27
27x = 162*16 ... cross multiplication
27x = 2592
x = 2592/27
x = 96
The team would win 96 games if it kept the same winning rate going.
Notice that 16/27 = 0.5926 = 59.26% and how 96/162 = 0.5926 = 59.26% as well (both are approximate). This helps confirm we have the correct answer.
-------------------------
Here's another slightly longer way to solve. If you prefer the first method above, then ignore this section.
w = number of games won over the entire 162 game season
162-w = number of games lost over the entire season
w/(162-w) = win to loss ratio
16/11 = win to loss ratio after winning 16 games and losing 11
Setting those last two expressions equal to each other and solving for w gets us...
w/(162-w) = 16/11
11w = 16(162-w)
11w = 2592-16w
11w+16w = 2592
27w = 2592 ... this hopefully looks a bit familiar from before
w = 2592/27
w = 96 games won
help me please i appreciate it
Answer:
17.5
plsss mark brainliestt
Step-by-step explanation:
10÷4=2.5
7×2.5=17.5
Answer:
4/7=10/x
or, 4×x=10×7
or, 4x=70
or, x = 70/4
or, x = 17.5
Thus, x is 17.5
Help plz i will mark brilliant
Answer:
a=100 b=50 c=30
Step-by-step explanation:
30+50+a= 180, A= 100.
90+40+b=180, B=50
A+B+C= 180
100+50+c=180, C=30
I really need help with this problem please help!!!
Answer:
Option C
Step-by-step explanation:
[tex]( { - 2m}^{3} {p}^{2} ) {}^{4} [/tex]
[tex] {( { - 2m}^{3}) }^{4} \times ( { {p}^{2} )}^{4} [/tex]
[tex] {16m}^{12} \times {p}^{8} [/tex]
Answer:
[tex] {( - 2 {m}^{3} {p}^{2}) }^{4} \\ = { (- 2)}^{4} { {m}^{3} }^{4} { {p}^{2} }^{4} \\ = 16 \times {m}^{12} {p}^{8} \\ c \: is \: ur \: answer \: \\ thank \: you[/tex]
A triangular traffic sign has a height of 45 cm. It is 75 cm long at its base. What is the area of the sign?
Answer:
Step-by-step explanation:
Hello!
(75* 45)/2 => 1687, 5 cm²
[tex]\text{A}=\frac{1}{2}\cdot\text{a}\cdot\text{h}\\\\\text{a}\longrightarrow\text{base}\\\\\text{h}\longrightarrow\text{height}\\\\-----------\\\\\text{a}=75 \ \text{cm}\\\\\text{h}=45 \ \text{cm}\\\\\text{A}=\frac{1}{2}\cdot75 \ \text{cm}\cdot45 \ \text{cm}=37,5 \ \text{cm}\cdot45 \ \text{cm}=\boxed{1687,5 \ \text{cm}^2}[/tex]
Find the missing angle and x
the correct answer of this question is 32 I mean the value of X is 32
Perform the indicated operations. Write the answer in standard form, a+bi.
(9 + 2i)(9 - 2i)
Answer:
It can't be expressed in that form
Step-by-step explanation:
From difference of two squares:
[tex]{ \boxed{(a + b)(a - b) = ( {a}^{2} - {b}^{2} )}}[/tex]
a » 9
b » 2i
[tex](9 + 2i)(9 - 2i) = \{ {(9)}^{2} - {(2i)}^{2} \} \\ \\ = (81 - 4 {i}^{2} )[/tex]
but i² is -1 [ complex numbers ]
[tex] = \{81 - 4( - 1) \} \\ = 81 + 4 \\ = 85[/tex]
Answer:
[tex](9 + 2i)(9 - 2i) \: \\ this \: can \: be \: wrtten \: as \: \\ {9}^{2} - {2i}^{2} = 81 - 4 \times - 1 \\ = 81 + 4 = 85 \\ then \: 85 + 0i \\ thank \: you[/tex]
i need help please!!!!!!!!!!!!!!!!!!!!!!
Answer:
Ayden you should have just asked mrs martinez
Step-by-step explanation:
5 * 5^2
5*5=25*5= 125
how to convert quinary into binary numbers
Answer:
Step-by-step explanation:
how to convert quinary into binary numbers?
If this means x in base 5 is equal to y in base 2
You just have to divide in base 5 by 2
Let's take an example.
[tex](14)_5= (? )_2\\\\\begin{array}{c|c}14&1\\4&0\\2&0\\1&1\\0\\\end {array}\\\\\\\\[/tex]
[tex]Read\ from\ down\ to\ up ==> 1001\\\\[/tex]
[tex]Explanation:\\(14)_5=1*5+4=9\ in\ base\ 10\\\\[/tex]
[tex]in\ base\ 5\\4*2=13 \\14=4*2+1\\4=2*2+0\\2=1*2+0\\1=0*2+1\\[/tex]
[tex]So\ (14)_5=(1001)_2\\[/tex]
Jillian simplified the expression 7 + 3 . (10 -6) ^2 in the following way:
7 + 3 . (10 - 6) ^2
7+ 3 . (4)^2
7+3 . 16
10 . 16
160
Part: A Explain, using the complete sentences, what Jillian’s error was
Part B: show how the expression should have bee simplified using a similar format.
Please help me how should I explain it
Answer:
Part A: Jillian added 7+3 first rather than multiplying 3*16 b/c multiplication comes before addition
Part B:
7 + 3 * (10 - 6) ^2
7+ 3 * (4)^2
7+3 * 16
7 + 48
55
Step-by-step explanation:
Answer:
Part A:
Jillian's error was that they added the 7 and the 3 to get 10 and then multiplied by 16. Jillian should have multiplied the 3 and the 16 first and then added 7. This is because multiplication comes before addition in PEMDAS.
Part B:
7+3×(10-6)^2
7+3×(4)^2
7+3×16
7+48
55
Step-by-step explanation:
PEMDAS
Bill weights 120 pounds and is gaining 10 pounds each month. Phil weights 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Bill and Phil to have the same weight? (Please provide the equation and the answer.)
The answer should be 3 months
Answer:
it will take 5 months
Step-by-step explanation:
What is the rate of change of y=-50+31
Hey there!
Guide:
• Negatives are on the LEFT side of the number line
• Positives are on the RIGHT side of the number line.
• Negatives are BELOW 0 (less than 0)
• Positives are ABOVE 0 (more than 0)
• You have to take the value of the LARGER number.
• If your LARGER number is a negative number then your result will be a negative.
• If your LARGER is a positive number then your result will be a positive
• Negative & Negative = Positive
• Negative & Positive = Negative
• Positive & Positive = Positive
• Positive & Negative = Negative
y = -50 + 31
• So, you start from -50 and go UP 31 spaces to the right because “31” is a positive number.. once when you have moved UP your 31 spaces you have reached your answer for this given equation
y = -50 + 31
y = -19
Therefore, your answer is: y = -19
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which graph represents the solution set to the system of inequalities?
{ y<−1/2x+2
y≥−3/2x+2
Answer:
The answer must be B because the rest are not possible.
Step-by-step explanation:
if 9m + 18= -27, then 4m - 5= ? Please help!
Please help me with this, I need this by tomorrow!
Answer:
i don't know because i am not from yours school
For what values of x is the equation X^2-x=20 true?
Answer: x = 5 or x = -4
Step-by-step explanation:
Given equation
x² - x = 20
Subtract 20 on both sides
x² - x - 20 = 0
Cross factorize the equation
x -5
x 4
Factorize the equation
(x - 5) (x + 4) = 0
[tex]\boxed{x=5}[/tex] or [tex]\boxed{x=-4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Solve y = x + 4 for x
(9th-grade Algebra 1)
Answer:
[tex]x=y-4[/tex]
Step-by-step explanation:
Solve for x by simplifying two sides of the equation then isolating the variable.
Hope this helps!
The sum of the first two numbers is 3. The difference of the
third number and the second number is 3. The sum of the first number and twice the third
number is 10. Find the three numbers
Answer:
Step-by-step explanation:
Canada has a population that is about 1/10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.
Lets US population be x
ATQ
[tex]\\ \sf\longmapsto \dfrac{x}{10}=32[/tex]
[tex]\\ \sf\longmapsto x=32(10)[/tex]
[tex]\\ \sf\longmapsto x=320million [/tex]
1 million has 6zeros 320million has 7zerosCanada has a population that is about 1/10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.
Solution:-Given,
Population of Canada = 32 million (1/10 of that of the USA)
=> Let the population of the USA be 'x'.
Now,
→ x/10 + 32 (million)
→ x = 32 × 10
→ x = 320 million.
(The number of zeros in 1 million is 6, so the number of zeros in 320 million will be 7)
Answer:-320000000 or 320 million.
The quotient of 105 and the sum
of one and four.
Answer:
21
Step-by-step explanation:
105/(1+4)
= 105/5
= 21.
two billion,twenty million,five hundred thousand,nine hundred
In number form
Answer:
the answer = 2,020,500,900
Write the slope-intercept form of the
equation that passes through: (4,2),
parallel to y = x-3
I tried to answer myself but somehow got it wrong, would like to know what I did wrong
An 8-pack of board games costs $34.00. What is the unit price?
Step-by-step explanation:
Each unit would be $4.25
Answer:
8/$34.00 divided by 8 = 1/$4.25. 1 board game costs $4.25. hope this helps
Step-by-step explanation:
- Zombie
