Answer:
14.6m
Step-by-step explanation:
volume of a hemisphere = (2/3)πr3
Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)
r = cube root ( 6466 * 3/2 * 1/ π)
r = 14.56
in the nearest tenth of a meter = 14.6 m
solve the following two equation X+Y=5
X-2Y=2
Step-by-step explanation:
x=4 and y= 1 because of 4+1=5 and add 2y to both sides
x-2y+2y=2+ 2y
x=2y+2
4-2=2
[tex]\left \{ {{x+y=5} \atop {x-2y=2}} \right.[/tex]
Here we have 2 equations in one system.
System of Equations/Simultaneous Equations are for finding the intercepts of both graphs.
We can solve these Simultaneous Equations in many ways. However, I'll be solving by substitution.
To solve by using substitution, we need to move either x or y to the another side. I'll move x term to another side for the first equation. (We'll substitute the first equation in the second.)
[tex]\left \{ {{y=-x+5} \atop {x-2y=2}} \right.[/tex]
Now we substitute y = -x+5 in x-2y = 2
[tex]x-2(-x+5)=2\\[/tex]
Then distribute -2 in (-x+5) | Note that multiplying the negative will get positive. |
[tex]x-2(-x+5)=2\\x+2x-10=2\\3x=2+10\\3x=12[/tex]
We should get this. When we get this, we move 3 to divide 12 (Opposite when moving to another side so from plus to minus and from multiply to divide.)
[tex]x=4[/tex]
But we are not done yet. We have to find the y-value. After all they are two variables equations.
If we want to find the y-value then we have to substitute x = 4 in any given equations. I'd suggest to substitute in the equation that doesn't have a coefficient with high value.
So I'll be substituting in x + y = 5 instead.
Substitute x = 4 in x + y = 5
[tex]4+y=5\\y=5-4\\y=1[/tex]
Thus, we get both x and y value. Answer in either coordinate point or writing form.
Therefore, the answer is
x = 4 when y = 1 or (4,1)
Both works. Hope this helps.
Find each angle measure in the triangle.
3x°
2xº
4xº
The total measure of angles in a triangle is 180°.
3x° + 2x° + 4x° = 180°
9x° = 180°
x° = 180° ÷ 9
x° = 20
Our 3 angles are:
3(20) = 60°
2(20) = 40°
4(20) = 80°
Done.
Answer:
Step-by-step explanation:
3x+2x+4x=180
9x=180
x=180/9=20
3x=3×20=60°
2x=2×20=40°
4x=4×20=80°
With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What percentage was the discount? Hint: First subtract to find the amount of discount$, then divide it by the original price.
Answer:
14[tex]\frac{2}{7}[/tex]%
Step-by-step explanation:
We can just follow the hint.
Amount of discount = $84 - $72
= $12
Percentage of discount = [tex]\frac{12}{84}[/tex] × 100%
= 14[tex]\frac{2}{7}[/tex]%
Answer:
14.3% discount.
Step-by-step explanation:
Heya! So by the hint that they gave us, I subtracted 72 from 84, and then divided the 12 by 84. The true answer is 0.143 (rounded to the hundredth), getting you close to the initial 12. I hope this helped at least a little bit!
PLEASE HELP MEEEEEEEEEEEEEE ILL GIVE U 50 coins for the right answer
Simplify the expression. Explain each step (0+c)+12
Answer:
x+12
Step-by-step explanation:
(0+c)+12
0+c+12
c+12+0
c+12
Hope this helps plz hit the crown :D
The problem to solve is:
(0+c)+12
0+c evaluates to +c
0 + 12 = 12
The answer is 12+c
(0+c)+12 evaluates to 12+c
The final answer is
12+c
I was just wondering what the explanation and answer to this problem would be?
Answer: Acute ask goigle
I NEED HELP PLS ON THIS QUESTION ON MY STUDY GUIDE
Answer:
4(n + 3) = 60
Step-by-step explanation:
In the question it says '3 more than the usual' and that is a big hint that it is 4(n + 3) = 60
ANSWER THIS AND ILL LOVE YOU
find angles FAB and BAC
Answer:
m<FAB = 75°
m<BAC = 105°
Step-by-step explanation:
First, find the value of x.
(13x - 3)° = (3x + 2)° + 55° (exterior angle theorem of a ∆)
Solve for x
13x - 3 = 3x + 2 + 55
13x - 3 = 3x + 57
Collect like terms
13x - 3x = 57 + 3
10x = 60
Divide both sides by 10
x = 6
✔️m<FAB = 13x - 3
Plug in the value of x
m<FAB = 13(6) - 3 = 78 - 3
m<FAB = 75°
✔️m<BAC = 180 - m<FAB (angles on a straight line/supplementary angles)
m<BAC = 180 - 75 (substitution)
m<BAC = 105°
Find the domain and range of the following functions:
1. f(x) = 4x-3
2. G(x) = | 1-2x |
3. f(x) = x²-2x+1 / x-1
The domain and range of the functions, Domain includes all possible inputs and range includes all possible outputs , are-
1. f(x) = 4x-3
Domain - all real numbers or
Range - all real numbers
2. G(x) = | 1-2x |
Domain- all real numbers
Range - All real numbers≥ 0
3. f(x) = x²-2x+1 / x-1
this can be simplified as ( x-1)²/(x-1) = x-1
Domain - all real numbers
Range- all real numbers
4. f(x) = {x-1 if x<3,
2x+1 if x ≥3 }
Domain - all real numbers
Range - All real numbers
5. y = [tex]\sqrt{4-x}[/tex]
Domain - All real numbers <4
Range - all real numbers ≥0
Mathematical functions are analogous to vending (soda) machine operations. When you put in a certain amount of money, you can choose from a variety of sodas. Similarly, when we use functions, we enter different numbers and get new numbers as a result. The primary characteristics of functions are domain and range. A soda can be purchased with quarters or one-dollar bills. If you put in pennies, the machine will not give you any soda flavor. As a result, the domain represents the inputs available here, which are quarters and one-dollar bills. A cheeseburger will not be served from a soda machine, no matter how much you pay. Thus, the range represents the possible outputs we can have here, i.e., the
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f(x)=-2x-1 g(x)=-1/2x+1/2 Which statements, if any, are true about these functions? I. The function f(g(x)) = x for all real x. II. The function g(f(x)) = x for all real x. III. Functions f and g are inverse functions.
Answer:
III. Functions f and g are inverse functions.
Step-by-step explanation:
Answer:
None of statements are true
Step-by-step explanation:
The GCF of 18 and 27 is _______. Numerical Answers Expected! Answer for Blank 1:
Answer:
9
Step-by-step explanation:
GCF = Greatest Common Factor
The factors of 18 are 1, 2, 3, 6, 9, 18. The factors of 27 are 1, 3, 9, 27. The common factors of 18 and 27 are 1, 3 and 9. The greatest common factor of 18 and 27 is 9.Answer:
9
Step-by-step explanation:
PLEASEEE HELP
is (14,7) proportional
Answer:
I would say that answer is proportional
Step-by-step explanation:
PLS HELP WILL GIVE BRAILIEST
The slides are different from each other so the chance of getting one of them is 1/18.
The chance of getting it again is 1/18 × 1/18 = 1/324
So, P(a number both times) = 1/324
Answer:
9/18 or 1/2
Step-by-step explanation:
you have 9 numbers and 9 letters. you know that you have 18 on the bottom because or 9+9=18. this just means that the probability that you will get a number twice is 1/2 because the two are independant.
Scientists are preparing two satellites to be launched. The equation y=8200xy=8200x represents the number of miles, yy, that the satellite, Space Explorer B, flies in xx hours. The satellite, Space Explorer A, flies 28800 miles in 24 hours.
How many fewer miles does Space Explorer A travel in one hour than Space Explorer B?
Answer:
Space Explorer B travels 6800 miles more than Space Explorer A in one hour.
Step-by-step explanation:
Space Explorer A travels 7000 miles less than Space Explorer B in one hour.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, Space Explorer A flies 28800 miles in 24 hours.
24 hours = 28800 miles
1 hour = 28800/24 miles
1 hour = 1200 miles
Hence, Space Explorer A travels 1200 miles in 1 hour.
Now, the equation representing the distance, y, traveled by Space Exploral B in x hours is:
y = 8200x
Substitute x = 1:
y = 8200
Therefore, Space Exploral B travels 8200 miles in 1 hour.
The difference between the distance traveled by Space Exploral B and Space Exploral A is:
8200 - 1200
= 7000
Hence, Space Explorer A travels 7000 miles less than Space Explorer B in one hour.
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A florist arranges 4 flower arrangements in 92 minutes.
At this rate, how many many flower arrangements are made in 207 mintues?
Enter your answer in the box.
Answer:
[tex]\boxed {\boxed {\sf 9 \ arrangements }}[/tex]
Step-by-step explanation:
Let's set up a proportion using the following setup:
[tex]\frac{arrangements}{minutes} =\frac{arrangements}{minutes}[/tex]
We know that the florist can arrange 4 in 92 minutes.
[tex]\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}[/tex]
We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.
[tex]\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}[/tex]
[tex]\frac{4}{92} =\frac{x}{207}[/tex]
Solve for x by isolating it on one side of the proportion.
x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.
[tex]207*\frac{4}{92}=\frac{x}{207}*207[/tex]
[tex]207*\frac{4}{92}=x[/tex]
[tex]207*0.0434782609=x[/tex]
[tex]9=x[/tex]
The florist can arrange 9 arrangements in 207 minutes.
The value of y varies directly with x. When the value y is ⅗, the value of x is 0.125. What is the value of x when the value of y is 12?
Answer:
x = 2.5
Step-by-step explanation:
y varies directly with x means the times that y increases, the times x increases and vice versa.
If y increases from 3/5 to 12 is being increased:
12 / 3/5 = 20 times
Thus, the value of x is being increased by definition, also 20 times. The value of x is:
x = 0.125 * 20 = 2.5
x = 2.5please help me asap
Part A: If (7^2)^x = 1, what is the value of x? Explain your answer. ( How did you get your answer?)
Part B: If (7^0)^x = 1, what are the possible values of x? Explain your answer. ( How did you get your answer?)
Answer:
a = 0 and b = literally any number
Step-by-step explanation:
because anything to the power of 0 = 1,
so e.g. 2^0 = 1 or 8^0 = 1
this is just a rule in powers that you just have to know
and for part b anything × 0 = 0, so it can be anything
hope this helps :)
Josiah and Kiri are each saving money.
Josiah starts with `\$100` in his savings account and adds `\$5` per week. Kiri starts with `\$40` in her savings account and adds `\$10` each week.
After `4` weeks, who has more money in their savings account?
Answer:
A.Josiah
5×4= 20+100=120
10×4=40+40=80
120 is more than 80
After 4 weeks , Josiah has 40 dollars more in his savings account.
Given :
Josiah starts with $100 in his savings account and adds 5 per week.
Let x be the number of weeks they started saving
Total money in savings account = 5 (number of weeks) + initial amount
Total money = [tex]5x+100[/tex]
Kiri starts with 40 in her savings account and adds 10 each week.
Total money = 10x+40
Now we need to find out how much money each have after 4 weeks
lets replace x by 4
Josiah have [tex]5(4)+100=120[/tex]
Kiri have [tex]10(4)+40= 80[/tex]
120-80=40
So , Josiah have 40 dollars more in his savings account.
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questions on the photo
Answer:
the answer in the photo, look at it
Vhat is the annual interest rate on a loan of
25,500 if the interest payments are $956.25
emiannually on the full loan amount?
The annual interest rate on a loan of $ 25,500 if the interest payments are $ 956.25 will be equal to 3.75 %.
We are given that the principal loan amount is equal to $ 25,500
That is
Principal = p = $ 25,500.
The interest payments is $ 956.25
That is the amount of interest = SI = $ 956.25.
Let the rate of interest on the loan amount be r.
Time period = t = 1
Simple Interest = p r t / 100
956.25 = 25,500 × r × 1 / 100
956.25 = 255 r
r = 956.25 / 255
r = 3.75 %
Therefore, the annual interest rate on a loan of $ 25,500 if the interest payments are $ 956.25 will be equal to 3.75 %.
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What function is Boolean operators used for
Answer: Boolean Operators are simple words used as conjunctions to combine or exclude keywords in a search, resulting in more focused and productive results. Examples are (AND, OR, NOT or AND NOT) .
Step-by-step explanation:
Plot and label 3 different points with x-coordinate 3.
GIVING BRAINIEST IF CORRECT!!!!
Express the product in simplest form.
Answer:
i bite my tongue its a baddd habit
28 + 10√3
Step-by-step explanation:
first, multiply the two together. √3 * √3 = 3. √3 * 5 = 5√3. 5 * √3 = 5√3. 5 * 5 = 25.
We have 3 + 5√3 + 5√3 + 25. Combine like terms and you should get 28 + 10√3.
Examine the worked problem and solve the equation.
Four-thirds (x) minus one-third = 9. Four-thirds (x) minus one-third + one-third = 9 + one-third. Four-thirds (x) = StartFraction 28 over 3 EndFraction
The solution is x =
.
Answer:
The answer is 7
Step-by-step explanation:
I don't know how to explain it really but just divide 4/3 by 28/3 and you should get the answer of x
Answer:
7
Step-by-step explanation:
someone please help me with this!
Answer:
remove the bracket on the other side by multiplying 180 by (2-n)
subtract 360 from 1260 to remain with -180n on the other side
divide both sides by -180n
then n become -5
A total of 160 children play in the city soccer league and 64 of the players are girls what percent of the players are girls
Answer:
40 percent of the children that play soccer are girls in the league
Step-by-step explanation:
just divide 64/160 and get 40
Answer:
40%
Step-by-step explanation:
64/160 = 0.4
0.4 = 40%
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -3 2 -9 3 -15 4 -21
Answer:
The numbers:
1, -3, 2, -9, 3, -15, 4, -21,
are not linear.
Step-by-step explanation:
If it was linear:
4, 3, 2, 1, -3, -9, -15, -21
Based on the graph below, what is f(2)?
0
1
2
-2
Answer:
the answer is 2 or c good luck
Answer:
C. 2
Step-by-step explanation:
Combine like terms 9+18s - 7s
Answer: The answer is 9+11s :)
Step-by-step explanation:
Combine like terms
9+18s-7s
9=11s so I don't what you mean but in case you want to find s it will be
11 11
S=9/11
Maria, Josh, and trey have a total of 160 in their wallets. Josh has 10 less than Maria. Trey has 4 times what Josh has. How much do they have in their wallets?
Step-by-step explanation:
Marie had 160
Josh has 150
Trey has 600