Answer:
98 is the answer
Step-by-step explanation:
you add 8 each time
Answer:
a₁₃ = 98
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = a₂ - a₁ = 10 - 2 = 8 , then
a₁₃ = 2 + (12 × 8) = 2 + 96 = 98
Cooper Toy Company has designed a new toy that uses a spring that follows a
sinusoidal curve after you wind it up and start it. At t = 5 seconds, the end of
the spring is at its highest point, 18 cm above the ground. Four seconds later,
the spring is at its lowest point, which is 6 cm above the ground. Find an
equation that will determine the height of the spring at any time t.
a) Find the height of the spring after 26 seconds.
b) Find the first time the height of the spring reaches 16 cm above the ground.
Answer:
Step-by-step explanation:
b] find the first time the height of the spring reaches 16 cm above the ground.
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)
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.
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
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
please help with this math question
Answer:
z=2.61
Step-by-step explanation:
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
/ 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.
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)
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].
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
Simplify the expression
x - (-2x + 4)
X^2-18x complete the square
[tex]x^2 -18x \\\\=x^2 - 2 \cdot 9x +9^2 -9^2\\\\=(x-9)^2-81[/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
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 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]
pleaseeee help??????
Rewrite the expression as only multiplication and evaluate.
2
1 -
Answer:
72
Step-by-step explanation:
1 * 3/2 * (-8) * 3 * (-2)
3/2 * (-8) * 3 * (-2)
(-24/2) * 3 * (-2)
(-12) * 3 * (-2)
24 * 3
72
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
Palawbhehrht awnser yes or mo
Answer:
yes
Step-by-step explanation:
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
what does x equal?
3/4(x+21)=10 1/2
Pls solve I need this today
Answer:
25
Step-by-step explanation:
5 : 1/3 in its simplest form
Answer:
15 : 1
Step-by-step explanation:
5 : 1/3
Multiply both numbers in the ratio by 3.
5 × 3 : 1/3 × 3
15 : 1
[tex]5:\frac{1}{3} =5.\frac{3}{1} =\frac{15}{1} <=>15:1 (=15)[/tex]
ok done. Thank to me :>
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
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]
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:
A lizard is 4 1/2 inches long.
How long is the lizard in centimeters?
Answer:
The lizard is 11.43 centimeters long.
Please answer this ASAP
Solve for y.
30y=20y+60
A: y= -6
B: y= 6
C: y= 1.2
D: y= -1.2
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 )