Given:
The explicit formula of a sequence is
[tex]f(n)=-9.2-2.5(n-1)[/tex]
To find:
The third, fifth, and seventeenth terms of the sequence.
Solution:
We have,
[tex]f(n)=-9.2-2.5(n-1)[/tex]
For n=3,
[tex]f(3)=-9.2-2.5(3-1)[/tex]
[tex]f(3)=-9.2-2.5(2)[/tex]
[tex]f(3)=-9.2-5[/tex]
[tex]f(3)=-14.2[/tex]
For n=5,
[tex]f(5)=-9.2-2.5(5-1)[/tex]
[tex]f(5)=-9.2-2.5(4)[/tex]
[tex]f(5)=-9.2-10[/tex]
[tex]f(5)=-19.2[/tex]
For n=7,
[tex]f(7)=-9.2-2.5(7-1)[/tex]
[tex]f(7)=-9.2-2.5(6)[/tex]
[tex]f(7)=-9.2-15[/tex]
[tex]f(7)=-24.2[/tex]
Therefore, the third, fifth, and seventeenth terms of the sequence are -14.2, -19.2 and -24.2 respectively.
Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
X+123°=180°(BEING DUM OF CO INTEROIOR ANGLES IS EQUAL TO 180°)
X=180°-123°
X=57°
Hi!
x = 57 degrees.
Explanation:
There is a straight line, so that must mean there is a linear pair. We know the first part of that pair is 123 degrees. The linear pair adds up to 180 degrees. Subtract 123 from 180 to get 57.
That angle and x are alternate interior angles, so they are equivalent.
What is the value of the expression below?
(9.5 minus 3 times 1 and one-half) divided by 0.5
0.5
5
10
19.5
Answer:
19.5
Step-by-step explanation:
9.5 minus 3 is 6.5
6.5 times 1.5 is 9.75
9.75 divided by .5 is 19.5
Answer:
d
Step-by-step
because i said so
After the party, 4/6 of a pepperoni pizza was left, and 5/7 of a veggie pizza was left. If the leftovers are put together, is there more or less than one whole pizza?
Please answer for me!
x = 1 while(x < 26) print(x) x = x + 1 There is an error in the while loop. What should be fixed? Add a colon to the end of the statement Begin the statement with the keyword count Change the parentheses around the test condition to quotation marks Use quotation marks around the relational operator
Answer:
Add a colon to the end of the statement
Step-by-step explanation:
Given
x = 1
while(x < 26)
print(x)
x = x + 1
Required
Spot and fix the error
Every lines of the given code segment is correct except the second line.
The syntax of a while loop is:
while(condition):
Comparing while(condition): to while(x < 26),
we'll see that while(x < 26) has a missing colon.
So, the error in the program is a missing colon and the solution is (option a) adding a colon to the end of the while statement
So, the correct code segment is:
x = 1
while(x < 26):
print(x)
x = x + 1
Megan bought 2 1/4 pounds of bananas for 0.80 per pound and 1 1/2 pounds of strawberries for 1.10 per pound how much more did Megan spend on bananas than on strawberries
Answer:Megan spent 0.15 pounds more on bananas than strawberries
Step-by-step explanation:
Step 1
Cost of bananas = 2 1/4 pounds of bananas for 0.80 per pound
2 1/4 x 0.80 = 1.8 pounds
Cost of strawberry= 1 1/2 pounds of strawberries for 1.10 per pounds
1 1/2 x 1.10 = 1.65.
Step 2 how much more means the difference between the cost of bananas and strawberry .
Therefore, we have Cost of bananas - cost of strawberries
1.80 pounds - 1.65 pounds=0.15
Megan spent 0.15 pounds more on bananas than strawberries
La altura de una pelota que es lanzada directamente hacia arriba con una velocidad de 40 pies/s esta dada por y=40t -16t2 ¿Cuál es la altura máxima alcanzada por la pelota?
Explicación paso a paso:
Dada la altura de una pelota que se lanza directamente hacia arriba con una velocidad de 40 pies / modelada por la ecuación y = 40t -16t ^ 2
La pelota alcanzó su altura máxima cuando la velocidad es cero.
La velocidad se expresa como dy / dt
dy / dt = 40 - 2 (16) t
dy / dt = 40 - 32t
A altura máxima, dy / dt = 0
0 = 40-32t
-40 = -32t
t = 40/32
t = 1,25 s
Para obtener la altura máxima alcanzada, sustituirá t = 1.25 en la función modelada de la altura como se muestra;
y = 40t - 16t ^ 2
y = 40 (1,25) - 16 (1,25) ^ 2
y = 50 - 25
y = 25
Por tanto, la altura máxima que alcanza la pelota es de 25 m
Queremos encontrar la altura máxima alcanzada por una pelota que es lanzada hacia arriba. Veremos que la altura máxima es 25 pies.
Encontrando el máximo.
Sabemos que la ecuación de la altura es:
y = 40*t - 16*t^2
Podemos ver que es una parabola con un coeficiente lider (el que multiplica la variable al cuadrado) negativo. Esto sinifica que el maximo esta en el vertice.
Para una parabola general:
a*x^2 + b*x + c
El vertice está en:
x = -b/(2a)
Así que en nuestro caso, el vertice de y = -16*t^2 + 40*t está en:
t = -40/(2*(-16)) = 1.25
Para encontrar la altura maxima evaluamos la ecuación en este valor de t:
y = 40*1.25 - 16*(1.25)^2 = 25
Es decir, la altura máxima es 25 pies.
Sí quieres aprender más sobre parabolas, puedes leer:
https://brainly.com/question/12272972
What is the solution to the equation above
Answer:
A = 3/4
Step-by-step explanation:
alternately could equal 0.75
4. A math tutor makes $12 an hour for the first 40 hours she works during a week and $24 an hour for each hour over 40 hours. As an exercise for her students, she had them graph her total weekly pay in dollars as it relates to her number of hours worked. Now you will do the same. (6 points: Part I - 1 point; Part II - 2 points; Part III - 1 point; Part IV - 2 points)
Part I: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked 40 hours or fewer?
Part II: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked more than 40 hours?
Part III: Combine the slope-intercept equations found in parts I and II into one piecewise equation.
Part IV: Graph the tutor's total weekly pay in dollars as it relates to her number of hours worked by using the piecewise equation from part III and the coordinate grid below.
Answer:
See below
Step-by-step explanation:
Part IWhen x ≤ 40, the equation is
y = 12xPart IIWhen x > 40
y = 12*40 + 24(x - 40) ⇒ y = 24x - 960 + 480 ⇒y = 24x - 480Part III[tex]y = \left \{ {12x, if x < or = 40 \atop {24x - 480, if x>40}} \right. \\[/tex]
Part IVThe graph is attached
If you go out to eat with 3 friends and you mea was $72.50 there is a 6.75% slaes tax and you should tip the waiter 15% how much should each person pay.
Answer:
$29.42Step-by-step explanation:
Total cost of meal for the 3 friends = $72.50
sales tax = 6.75%
percent tip = 15%
Total %paid on meal = 6.75%+15% = 21.75%
Increment paid = 21.75% of $72.50
Increment paid = 21.75/100 * 72.50
Increment paid = 21.75 * 0.7250
Increment paid = $15.7685
Total amount paid = original cost + increment
Total amount paid = $72.50+$15.7685
Total amount paid = $88.26875
If the 3 friends paid $88.26875
Each person will pay $88.26875/3 = $29.42
Hence each person will pay $29.42
6 2/5 x 3 ÷ 2 2/4 =
4 4/5 x 5 7/5 ÷ 6 8/9=
Answer:
Answers are below
Step-by-step explanation:
Q1. 64x^3/25
Q2. 3456x/775
Triangle TUV, with coordinates T (3, 3), U(3, -2), and V(-7,3), undergoes a dilation about the origin to produce triangle
WXY. If triangle W XY has coordinates W(6,6), X(6,-4), and Y(-14,6), what is the scale factor?
Answer:The scale factor is 2
Step-by-step explanation:
I took the test and I got it right
Answer:
Step-by-step explanation:
It’s 2
A water chips system in a garden uses 2/3 cup of water every 1/6 of an hour how much water is used one hour
Answer:
4
Step-by-step explanation:
1/6 of an hour is 10 minutes. there are 60 minutes. 2/3 times 6 is 4. I hope that helped :)
Answer:
6*2/3= 4 cups of water are used in one hour
Step-by-step explanation:
There is 6, 1/6 of an hour in an hour so we would multiply 2/3 (which is used every 1/6 of an hour) by 6 to get the answer.
a plane ticket to Barcelona costs £175
Answer:
Given:
A plane ticket to Barcelona costs £175 the price decreases by 6%
To find:
The new price of the plane ticket
Solution:
The ticket to Barcelona costs £ 175
The price decreases by 6%
⇒ 6% = 6/100 = 3/50
The new price of the plane ticket is decreased by the amount,
= £ 175 × 3/50
= £ 10.5
Therefore, the new price of the plane ticket is given by,
= £ 175 - £ 10.5
= £ 164.5
ik this question i got at school
Answer: £175
Step-by-step explanation:
You said it costs £175
2 x 6 - 21 divided by 7
(8.4C) Ken has a weekly goal for the number of
calories he will burn by taking brisk walks. The
equation y = -300x + 2400 represents the
number of calories, y, Ken has left to burn after
x hours of walking. What is the slope in this
situation?
Answer:
the slope is -300
Step-by-step explanation:
y=mx+b
m is slope
Classify the following triangle based on its shape.
Answer: a right triangle
Step-by-step explanation:
u+(−5)=−15 What do do to the negative 5 if its ib parentheses
Answer:
u = -10
Step-by-step explanation:
u + (−5) = −15
u − 5 = −15 distributive multiplication, think of it like 1 * -5 = -5
u = -10 add 5 to both sides of equality
24,29,32 a acute, right, abtuse
Answer:
All are acute
Step-by-step explanation:
Acute angles are any angles that are less than 90°.
Right angles are angles that measure 90°.
Obtuse angles are angles that are more than 90°.
As we can see, 24, 29, and 32 are all less than 90°, making them all acute.
Best of Luck!
Eduardo and Krystal each improved their yards by planting daylilies and shrubs. They bought their supplies from the same store. Eduardo spent $65 on 5 daylilies and 5 shrubs. Krystal spent $76 on 4 daylilies and 10 shrubs. What is the cost of one daylily and the cost of one shrub? SHOW YOUR WORK *
Answer:
Step-by-step explanation:$9 daylilies, $4shrubs. 9x5=45+4x5=20 $65. 9x4=36+10x4=$76
Solve the equation. - 13 = 5+X
Ramon earns $1,665 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what
percent of Ramon's earnings are spent on electricity each month?
6 is a Natural, Whole, and Integer number,
True or false
Answer:
This is true!
Step-by-step explanation:
It is natural because it is a positive integer greater than 0, it's whole because its not negative and it is an integer.
Find the total surface area of the
following square pyramid:
10 cm
12 cm
SA = [?] cm2
Step-by-step explanation:
Hope this helps, happy learning!!!!
The surface area of the square pyramid will be 240 square centimeters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The dimension of the square pyramid will be 12 cm and 10 cm.
Then the surface area of the square pyramid will be
The surface area is four times the area of the triangle.
Surface area = 4 x 1/2 x 12 x 10
Surface area = 2 x 120
Surface area = 240 sqaure cm
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
Which expression is the same as 2 (4-7m)?
A) 6-9m
B)6+9m
C)8-14m
D)8+14m
Answer:
The answer would be c) 8-14m
Answer:
C: 8-14m
Step-by-step explanation:
2(4-7m) = 8 - 14m
find this by distributing the 2 into the parenthesis: 2 * 4 and 2* -7m to get 8 and -7m
All Common multiples between 2 and 9
Answer:
18, 36, 54, 72, 90...
Step-by-step explanation:
can you plz help me with this?
Answer:
asdfghjkvbn]
Step-by-step explanation:
Answer:
y=35
you put 4y-100-4y =180
4+4= 8 so it's 8y-100=180
180+100=280 then 280/8 is 35
so y=35
I need help quick please
Answer:
search it up its there
Step-by-step explanation:
Hi , I will mark brainliest for who get it right.
Also pls hurry this is on my Unit Test and I'm timed.❤❤
Answer:
28x+8y+2
Step-by-step explanation:
-2×3x=-6x
-2×12y=-24y (+×-)=(-)
-2×-5=10(-×-)=(+)
-2×-17x=34x
-2×-16y=32y
-2×4=-8
collect like terms
-6x-24y+10+34x+32y-8
28x+8y+2
If they instead chose front and back covers of thickness 1/3 of an inch, how would this change the equations in the previous two parts
Answer:
where is the rest of the question
Step-by-step explanation:
Answer:
y = 1/2 + 1/4*x
Explanation:
Given that the front cover has a thickness of 1/4 an inch and back cover also has a thickness of 1/4 an inch, then, the addition of both gives to the book thickness of 1/4 + 1/4 = 1/2 inch, despite how many pages it has.
Given that for every hundred pages a thickness of 1/4 inch is added to the book, then the equation is:
y = 1/2 + 1/4*x
where y refers to the width of the book, and x refers to every hundred pages printed on bond paper. Y is measured in inches.
For which system of equations would you need to estimate the solution?
Answer:the second graph or b
Step-by-step explanation:
i got it right on edunity2020
Answer:
its b.
Step-by-step explanation:
just did it