Answer:
an = a1 + 6(n-1)
Step-by-step explanation:
a1 = -9, a5= 15, a10 = 45
Since is an arithmetic sequence we only add or subtract something to get to the next term. Since we got from -9 to 15 we know that we must add something and that we add it 4 times the same amount to get from -9 to 15.
a1= -9
a2= -9+6 = -3
a3= -3+6 = 3
a4= 3+6 = 9
a5= 9+6 = 15
We add 6 each time.
The explicit formula is an = a1 + 6(n-1) because
for example a5 = a1 the first term + 6* (5-1) times
a5 = -9 + 6* 4 = -9 + 24 = 15✅
a10 = a1 + 6* (10-1)
a10 = -9 + 6*9 = 45✅
PLZ!!! HELP!!!!!
What is the slope
Answer:
zero slope
Step-by-step explanation:
horizontal lines are zero slope because they are not slanted (slope)
this is a horizontal line.
I need help with this
In Freeport, Illinois, Empire Street runs east to west and route 26 runs north to south.
Zippy’s Pizza parlor is located on route 26, 3 miles south of Empire street.
Zippy’s advertises that it delivers within a 4 mile radius.
Write an equation that represents the radius of delivery for Zippy’s Pizza. Assume that Zippy’s is located at the origin.
- How far east and west from route 26 can you live on Empire street and still receive Zippy’s Pizza delivery?
- Little Cubs Field is located 2 miles west and 4 miles north of Zippy’s. How far is Little Cubs Field from Zippy’s?
- How far is Little Cubs Field from the radius of delivery?
The area to which Zippy's Pizza makes delivery is 16·π square miles
The responses are;
First Part: x² + y² = 4²Second Part: √5 miles east and √5 miles west from route 26Third Part: 2·√5 milesFourth Part: 2·(√5 - 2) milesReasons:
The radius of the area that Zippy delivers pizza = 4 miles
Direction in which Empire Street runs = East to west
Direction of the route 26 route = North to south
Location of Zippy's Pizza parlor = 3 miles south of Empire street
-First Part:
The equation that represents the radius of delivery for Zippy's Pizza is given by the equation of a circle as follows;
(x - h)²+ (y - k) = r²
Where:
(h, k) = The center of the circle which is the location of Zippy's Pizza
r = The radius of the circle
Zippy's Pizza is at the center of the circular area with coordinates (h, k) = (0, 0)
r = 4 miles
-Which gives;
(x - 0)² + (y - 0)² = 4²
The equation that represent the radius is; x² + y² = 4²
-Second part:
The locations of addresses on Empire street, relative to Zippy's Pizza are given by the equation;
y = 3
Therefore, we have;
The furthest distances east and west on Empire street that can receive Zippy's Pizza delivery are given by the equation;
x² + 3² = 4²
x = √(4² - 3²) = ±√5
The furthest distances that can receive Zippy's Pizza delivery are ±√5 miles (east and west) from route 26
-Third Part:
Location of Little Cubs = 2 miles west and 4 miles north of Zippy's
The distance from Little Cubs Field to Zippy's = √((2² + 4²) = 2·√5
The distance from Little Cubs Field to Zippy's = 2·√5 miles
-Fourth Part:
The distance between Little Cubs Field from Zippy's radius of delivery, d, is found as follows;
d = 2·√5 - 4 = 2·(√5 - 2)
Therefore, d = 2·(√5 - 2) miles
Learn more here:
https://brainly.com/question/23005973
does the right riemann sum underestimate or overestimate
That depends on the function in question.
If f(x) is integrable and non-decreasing, then the right Riemann sum overestimates the integral of f.
If f is non-increasing, the right Riemann sum underestimates the integral.
Four times a number, increased by 10, is -2
what is the number?
Answer:
-3
Step-by-step explanation:
-3 × 4 = -12
-12 + 10 = -2
What is the measure of
Answer:
∠ ABC = 108°
Step-by-step explanation:
The 2 given angles are vertically opposite and are congruent , that is
4x + 8 = 3x + 33 ( subtract 3x from both sides )
x + 8 = 33 ( subtract 8 from both sides )
x = 25
Then
∠ ABC = 3x + 33 = 3(25) + 33 = 75 + 33 = 108°
Write an explicit rule and recursive rule for a geometric sequence with a 2nd term of 6 and a 3rd term of 12.
this is my attachment answer hope it's helpful to you
what is 12 times the exponent of 7 squared
Answer:
13841287201
Step-by-step explanation
7×7×7×7×7×7×7×7×7×7×7×7=13841287201
Answer:
7
×
7
×
7
×
7
×
7
=
7
5
Step-by-step explanation:
.
1/2 of David's money is
2/3 of Henry's money.
(a) Express David's money as a fraction of Henry's money
Answer:
80
Step-by-step explanation:
math
every summand of an expression is called a???
Answer:
I think it's called a term.
Hope this helps :)
BRAINLIEST
please help me do these problems I’ve almost finished the whole assignment
Answer:
13. PS ≈ 28.30
14. ∠CDB ≈ 68.74°
Step-by-step explanation:
13 =========================
We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)
[tex]tan(28)=\frac{x}{39} \\x=39tan(28)[/tex]
or x ≈ 20.74
Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.
[tex]sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\[/tex]
or y ≈ 28.30
PS ≈ 28.30
14 ======================
Start from ∠A and use tan.
[tex]tan(47)=\frac{x}{18} \\x=18tan(47)[/tex]
x ≈ 19.30
Then from ∠CDB, we'll use inverse cos.
[tex]cos^{-1}(\frac{7}{18tan(47)} )= y[/tex]
y ≈ 68.74°
∠CDB ≈ 68.74°
=======================
I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.
A ball is thrown in the air from ground level. The height of the ball in meters at time t seconds is given by the function [tex]\sf h(t)=-4.9t^2+30t.[/tex]. At what times does the ball hit the ground? ( be sure to use proper units!)
please, show your work!
Thank you!
Answer:
t = 6.15 seconds
Step-by-step explanation:
A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.
-----------------
h(t) =-4.9t^2+35t+30
----
When the ball hits the ground its height is zero.
So, solve -4.9t^2+35t+30 = 0
Use the quadratic formula:
t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))
----
t = [-35 +- sqrt(637)]/(-9.8)
---
To get a positive solution:
t = [-35-25.24]/(-9.8)
t = 6.15 seconds
========================
Answer:
The ball hits the ground when h(t) (the height) is equal to 0.
0=-4.9t^2+30t
0=t(-4.9t+30)
t=0 and t=6.1224…
So, the ball hits the ground when it is thrown (0 seconds) and after about 6.1224 seconds.
:)
help meeeee pleaseeeeeeeeeeeee
Answer:
a) 92 m
b) 74 cm
Step-by-step explanation:
a)
2(length) + 2(width) = perimeter
2(x) + 2(73) = 330 m
2x + 146 = 330
2x = 184
x = 92 m
b)
length * width = area
85 * x = 6290 cm²
85x = 6290
x = 74 cm
Find y. Simplify completely.
y
16
25
y = [?]VO
=
Enter the number that belongs in the green box,
Enter
Answer:
19?
Step-by-step explanation:
Q.10). ABC is a triangle right angled at C. A line through mid point M of hypotenuse AB and parallel to BC intersects AC at D.
Show that:
(I) D is the mid point of AC.
(ii) MD ⏊ AC.
(iii) CM = MA = 1/2 AB
Answer:
In attachment I have answered this problem.↑↑
Hope this helps.
If you have any doubt, then you can ask me in the comments.
Evaluate the expression for a = -13.
Answer: -4
Step-by-step explanation: (9)+(-13) 9+−13 9−13 −4
2.67 is best classified as a ______________ number.
Fill the blank
Y
Answer:
rational
Hope this helps!
lmk if it does
What is the perimeter of PQR? Show your work.
if pepsi Bottles 8-pack or cans 12-pack 3 for $12.88 how much for 1 pack?
explain
Answer: $4.29?
Step-by-step explanation:
3 pack /3 = $12.88 /3
1 pack = 4 22/75 or approx $4.29
What is the value of s?
Answer:
17
Step-by-step explanation:
It's a right triangle so you use the Pythagorean Theorem
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
a and b are the sides and c is always the hypoteneuse, which is the longest side and opposite from the right angle
so [tex]8^{2}[/tex]+[tex]15^{2}[/tex]=[tex]c^{2}[/tex]
64+225=[tex]c{2}[/tex]
289=[tex]c^{2}[/tex] take the square root of both sides to get rid of the squared
[tex]\sqrt{289}[/tex]=c
c=17
Javad had a mix of yellow and red jelly beans are shown on the graph if there are 42 jelly beans in his bag how many are red?
Answer:
there is no graph though
Suppose you want a guitar. It costs $756. About how much would you have to save every month for 6 months to be able to buy the guitar? i assume $126?
Answer:
$126 is correct
Step-by-step explanation:
Answer:
$126/month
Step-by-step explanation:
Divide the total cost ($756) by 6 (months). We get $126/month. Six months' payment (6 times $126) will produce a total savings of $756.
when graphed the first equation in a system of equations is shown here. The equations below are options for the second equation. which of these options would create a system of equations that has NO SOLUTION select all that apply
If f is an always positive, differentiable function and y = ln(f(sin x)), what is y’ when x=4 ?
Answer:
cos(4) f'(sin 4)/f(sin 4) is y' at x=4
Step-by-step explanation:
We can't actually find the numerical value for this without more information.
We are given:
y=ln(f(sin x))
This is equivalent to
e^y=f(sin x)
Differentiate both sides:
y' e^y=cos(x) f'(sin x)
Divide both sides by e^y:
y' =cos(x) f'(sin x)/e^y
Rewrite in terms of x using that e^y=f(sin x):
y' =cos(x) f'(sin x)/f(sin x)
Now replace x with 4:
cos(4) f'(sin 4)/f(sin 4) is y' at x=4
Which of the following is equivalent to 16 3/2
Answer:
b is the answer because I don't know what to do with it and
What is f(-1)?
PLEASE HELP ASAP
Answer:
3
Step-by-step explanation:
y=3, you can see it when you start from ×=-1 and then follow the line in the graph
Answer:
f(-1) = 3
Step-by-step explanation:
You can see the function f(x) on the graph. To find f(-1), you need to find the value of the function at x = -1.
Starting from the center at (0, 0), just go 1 to the left and then up to the line. You can see the point at x = -1 on the line is y = 3, so f(-1) is equal to 3.
Amir invests £2000 into an savings account.
Amir gets 4.75% per year compound interest.
Work out how much Amir will have in the account after 9 years.
Answer:
£30000
Step-by-step explanation:
I used a couculator
I need this answer!!
[tex] \rm \frac{2}{36} = \frac{3}{x} [/tex]
[tex] \rm\frac{1}{18} = \frac{3}{x} [/tex]
[tex] \rm x = 3 \times 18[/tex]
[tex] \rm x = \bold{54(d.)}[/tex]
For a triangle. Find m<1 when the other angles are 52.2 and 44.7
Answer: 83.1
Step-by-step explanation:
52.2 + 44.7 = 96. 9
180 - 96.9 = 83.1
Select the correct answer. The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0. 5, what is the perimeter of the resulting triangle? A. 30 units B. 20 units C. 15 units D. 7. 5 units.
Answer:
.
Step-by-step explanation: