Answer:
10/100*$x
Step-by-step explanation:
You will multiply the $x by 10%
Find the range of the function F(x) = the integral from 0 to x of the square root of 4-t^2 dt
Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)
If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.
On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.
For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.
Then the range of F(x) is the interval [-π, π].
Pierson's Pet Palace has an 85 gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 4 gallons per minute. Write an equation. help pls
Answer:
Step-by-step explanation:
The time it takes to empty the tank = 85/4 + 0.25 = 21.25 minutes.
- because it takes 21 minutes to empty 84 gallons and the last gallon takes
1/4 of a minute.
Palawbhehrht awnser yes or mo
Answer:
yes
Step-by-step explanation:
what does x equal?
3/4(x+21)=10 1/2
please help me!
ty ty :)
Answer:
y-2 = -11 (x-5)
Step-by-step explanation:
2 is the y value of the point, 5 is the x value and -11 is the m value.
Slope point form: y-y1 = m(x-x1)
Hope that helps
X^2-18x complete the square
[tex]x^2 -18x \\\\=x^2 - 2 \cdot 9x +9^2 -9^2\\\\=(x-9)^2-81[/tex]
solve using the quadratic formula:
3x=2x^2-2
Answer:
[tex]x=2\\x=-\frac{1}{2}[/tex]
Step-by-step explanation:
1) Move terms to the left side.
[tex]3x=2x^{2} -2\\3x-(2x^{2}-2)=0[/tex]
2) Distribute.
[tex]3x-(2x^{2} -2)=0\\3x-2x^{2} +2=0[/tex]
3) Rearrange terms.
[tex]3x-2x^{2} +2=0\\-2x^{2} +3x+2=0[/tex]
4) Common factor.
[tex]-2x^{2} +3x+2=0\\-(2x^{2} -3x-2)=0[/tex]
5) Divide both sides of the equation by the same term.
[tex]-(2x^{2} -3x-2)=0\\2x^{2} -3x-2=0[/tex]
6) Use the quadratic formula.
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
[tex]2x^{2} -3x-2=0\\a=2\\b=-3\\c=-2[/tex]
[tex]x=\frac{-(-3)+\sqrt{(-3)^{2} -4*2(-2)} }{2*2}[/tex]
7) Simplify.
Evaluate the exponent
[tex]x=\frac{3+\sqrt{(-3)^{2}-4*2(-2) } }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]
Add the numbers
[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{25} }{2*2}[/tex]
Evaluate the square root
[tex]x=\frac{3+\sqrt{25} }{2*2} \\x=\frac{3+5}{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{3+5}{2*2}[/tex]
[tex]x=\frac{3+5}{4}[/tex]
8) Seperate the equations.
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
[tex]x=\frac{3+5}{4}[/tex]
[tex]x=\frac{3-5}{4}[/tex]
9) Solve.
Rearrange and isolate the variable to find each solution.
[tex]x=2\\x=-\frac{1}{2}[/tex]
Please answer this ASAP
Solve for y.
30y=20y+60
A: y= -6
B: y= 6
C: y= 1.2
D: y= -1.2
how would i plot this on a graph?
Answer:
(1, 4)
Step-by-step explanation:
im assuming that the point is h(1) = 4
this point is basically just h(x) = y
1 is your x
4 is your y
you plot it at the point (1, 4)
A lizard is 4 1/2 inches long.
How long is the lizard in centimeters?
Answer:
The lizard is 11.43 centimeters long.
Find the slope of the line that passes through (-2, -44) and (-1, -70).
Let m = slope of the line.
m = delta y/delta x
m = (-70 -(-44)/(-1 -(-2)
m = (-70 + 44)/(-1 + 2)
m = -26/1
m = -26
Understand?
The corner store sells pairs at a rate of $2.50 for per pair if Fiona has $15 how many pairs can if you fiona buy?
Answer: Fiona can buy six pairs.
15/2.5 = 6
Answer:
Fiona can buy 6 pairs
Step-by-step explanation:
2.50x 6
Solve the equations below. Give exact solutions only. Show your work.
a) 5x^2 - 7 = 72
b) x(x + 2) = 5
c) 3x^2 + 2x - 4 = 0
Answer:
A. 5x² - 7 - 72 = 0
5x² - 79 = 0
x = ± √-4ac / 2a
x = ± √- 4 (5) (-79) / 2 (5)
x = ± √ 1580 / 10
x = ± 39.749/10
x = + 39.749/10 x = -39.749/10
= 3.9749 = - 3.9749
B. x² + 2x - 5 = 0
x = - b ± √b² - 4ac / 2a
= - 2 ± √2² - 4 (1) (-5) / 2 (1)
= - 2 ± √4 + 20 / 2
= - 2 ± √ 24 / 2
x = - 2 + 4.898 /2 x = - 2 - 4.898 / 2
= 2.898/2 = -6.898/2
= 1.449 = - 3.449
C. 3x² + 2x - 4 = 0
x = - b ± √b² - 4ac / 2a
= - 2 ± √2² - 4 (3) (-4) / 2 (3)
= - 2 ± √4 + 48 / 6
= - 2 ± √ 52 / 6
x = - 2 + 7.211 /6 x = - 2 - 7.211 / 6
= 5.211/6 = - 9.211 /6
= 0.869 = - 1.535
Hope that helps
Please to re-check answers
A system of equations is shown below y=3x-7 y=2x+1 what is the solution to the system of equations 8 ,17 -8,17 -8,-17 8,-17
Answer:
(8, 17)
Step-by-step explanation:
y = 3x - 7, y = 2x + 1
Substitute the second equation into the first for y.
2x + 1 = 3x - 7
8 = x
Now use 8 for x in one of the equations and solve for y.
2(8) + 1 = y
y = 17
(8, 17)
If Uber charges $12 for a ride plus $2 per mile, write an equation for the cost (where x is the miles)
Answer:
12 + 2x = y
Step-by-step explanation:
y would be the total cost
Answer:
$12 + $2 × x
Step-by-step explanation:
Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning
Answer:
Step-by-step explanation:
fff
Pls solve I need this today
Answer:
25
Step-by-step explanation:
Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, X, which can be represented by g(x) = 185 +0.03x. Jim is paid $275 per week plus 2.5% of his total sales in dollars, x, which can be represented by f(x) = 275 +0.025%. Determine the value of x, in dollars, that will make their weekly pay the same.
Answer:
$18,000.
Step-by-step explanation:
When their weekly pay is the same:
185 + 0.03x = 275 + 0.025x
0.03x - 0.025x = 275 - 185
0.005x = 90
x =90/0.005
x = 18,000
Help pls + brainliest
Answer:
Letter C.
Step-by-step explanation:
Lap 1 be x
Lap 2 be y
Line graph: plot the values, and will get C.
The triangle shown below has an ar
Answer:
a^2+b^2=c^2
C=7
b=?
a=4
LET B=x =
[tex] \sqrt{65 } [/tex]
can someone explain this to me ?
Answer:
well y= mx + b
Step-by-step explanation:
it is going up by 2/5 then your answer is y =2/5+5
How fast must a jet travel to reach its destination
2,064 miles away in 4 hours?
Simplify the expression
x - (-2x + 4)
pleaseeee help??????
/ why we use this symbol
The slash is an oblique slanting line punctuation mark /. Once used to mark periods and commas, the slash is now most often used to represent exclusive or inclusive or, division and fractions, and as a date separator.
14÷966 I need help doing this pls help
Answer:
0.01
Step-by-step explanation:
i hope this help only that u need to do next time is to divide 966 with a number that is close to the sum
lines y = -x+2 and y=x+1. The point of intersection of the linear equations is *
(0,2)
(0.5, 1.5)
(-1,0)
(2,0)
We can solve it by seeing the graph but let's solve the equations.
[tex]\\ \sf\Rrightarrow y=-x+2[/tex]
[tex]\\ \sf\Rrightarrow y=x+1[/tex]
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
Done
there are 6 cups of sugar in 5 batches of cookies. how many cups are in 1 batch
Answer:
1.2 cups
Step-by-step explanation:
6 cups / 5 batches = 1.2 cups/batch
X-Y=9 and 2X+5Y=4 solve by substitution
Answer:
(7,-2)
Step-by-step explanation:
Answer:
(7, - 2 )
Step-by-step explanation:
x - y = 9 ( add y to both sides )
x = y + 9 → (1)
2x + 5y = 4 → (2)
Substitute x = y + 9 into (2)
2(y + 9) + 5y = 4 ← distribute parenthesis and simplify left side
2y + 18 + 5y = 4
7y + 18 = 4 ( subtract 18 from both sides )
7y = - 14 ( divide both sides by 7 )
y = - 2
Substitute y = - 2 into (1)
x = - 2 + 9 = 7
solution is (7, - 2 )
The temperature of a pot of hot water is 200.5. The temperature of the water decreases 3.5 per minute. What is the temperature of the water after 15 minutes?
Answer:
The temperature of the liquid 15 minutes later is [tex]151.5[/tex]
Step-by-step explanation:
This is an example of arithmetic progression
We need to find 15 th term
Here
[tex]a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5[/tex]
