The value of a28 given a11 = 23 and a15 = −5 is -96
Given:
a11 = 23
a15 = −5
Where,
a1 = first term
d = common difference
a11 = a + 10d = 23
a15 = a + 14d = -5
a + 10d = 23 (1)
a + 10d = 23 (1)a + 14d = -5 (2)
subtract (1) from (2) to eliminate a
14d - 10d = -5 - 23
4d = -28
d = -28 / 4
d = -7
Substitute d = -7 into (1)
a + 10d = 23 (1)
a + 10(-7) = 23
a - 70 = 23
a = 23 + 70
a = 93
So,
a28 = a + 27d
= 93 + 27(-7)
= 93 + -189
= 93 - 189
= -96
Therefore, the value of a28 given a11 = 23 and a15 = −5 is -96
Learn more about arithmetic sequence:
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Fifteen cards numbered 1-15 are placed in a hat. What is the probability that the card has a multiple of 3 on it, given that the card picked is an odd
number? Express your answer as a fraction in simplest form.
The probability that the card has a multiple of 3 and an odd number is 20%.
How to find the card has a multiple of 3 on it, given that the card picked is an odd number?Given:
The number of cards: 15
Multiples of 3 and odd no are 3,9, and 15.
The number of cards Multiples of 3 and odd number = 3
Probability of getting a multiple of 3 cards = 3/15× 100
⇒ 20%
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Learn more about Probability here: brainly.com/question/251701
#SPJ2
Which of the following does not describe slope? O A rate of change
O A proportional relationship
O A line
O Rise over run
Answer: Should be a line
Step-by-step explanation:
Pleas dose anyone know all the answers to the South and East Asia for endogeneity unit test? :)
40 kg of tomatoes cost $200 how many kilograms of tomato’s can you get with $45
Answer:
9 kg of tomatoes
Step-by-step explanation:
Cost of 40 kg of tomatoes = $200
Cost of 1 kg of tomatoes = 200/40 = $5
For $45, we get x kg of tomatoes,
kg $
1 5
x 45
=> 45*1/5 = x kg (by cross multiplication)
=> 45/5 = x kg
We get 9 kg of tomatoes for $45.
Hope you understood!
Answer:
(9 Kg) You can get 9 kilograms of tomato's with 45$
Step-by-step explanation:
A money market account dropped to 5/8 its original value of $7.200. What is its current value?
A. 180
B. 450
C. 1,152
D. 4,500
E. 11,520
Answer:
Which claim most accurately describes the energy transformation taking place while he practices his guitar?
Sound energy is converted into elastic energy.
Kinetic energy is converted into thermal energy.
Mechanical energy is converted into sound energy.
Electrical energy is converted into mechanical energy.
Step-by-step explanation:
Answer:
C. 4,500
Step-by-step explanation:
Since we have 5/8 of the original 7200, we can multiply and divide.7200*5=3600036000÷8=4500Therefore, the answer is c, 4,500A teacher wants to give each student 2 pencils. A store is selling pencils in boxes of 24. If the teacher has a total of 125 students, how many boxes of pencils should he buy?
Answer:
10.41
Step-by-step explanation:
hehe
Answer:
11
Step-by-step explanation:
Total number of pencils needed = 125 × 2 = 250
Total number of boxes = [tex]\frac{250}{24}[/tex] = 10.416
the teacher need to buy 11 boxes
the perimeter of a square is 52cm
We know that:
Perimeter: 52cm4(side) = 52cmTo find the side, we will need to divide 52 by 4.
=> 4(side) = 52cm=> Side = 52 ÷ 4=> Side = 13cmTherefore, the side of the square with 52 cm of perimeter is 13 cm.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
10 A seal pup gains 28% of its birth weight each
day for the first 10 days of its life.
A one-day-old pup weighs 17.92 kg.
How much did it weigh at birth?
Answer:
WEIGHT
550 to 880 pounds
LIFESPAN
25 to 35 years
LENGTH
7.5 to 10 feet
THREATS
Entanglement, harassment, chemical contaminants, oil spills and energy exploration, vessel and vehicle interactions
REGION
New England/Mid-Atlantic
Step-by-step explanation:
Step-by-step explanation:
Hmm so a pup gains 28% weight every day for the next 10 days.. But a day old puppy weight 17.92kg sooo
28%+10every day=10.28
17.92-28%=12.9
17.92x10=179.2
Hmmmm
Well a seal pup weights 8-12kg on birth so ye I was right anweser is 12
Which expression is equivalent to 2-5?
○
A 1/5 x 1/5
B (-5)(-5)
C1/2x1/2x 1/2 x 1/2
D (-2)(-2)(-2)(-2)(-2)
Answer:
non of them are there any other answers
Step-by-step explanation:
2-5=-3
1/5*1/5=1/25
(-5)(-5)=25
1/2*1/2*1/2*1/2=1/16
(-2)(-2)(-2)(-2)(-2)=-32
Write 5.4 as a mixed number and as an improper fraction.
Write your answers in simplest form.
Answer:
5.4 as a fraction is 27/5.
Step-by-step explanation:
Learned in 5th grade
The graph shows the number of possible passengers for a given number of roller coaster cars that leave the platform. Complete parts a and b.
m = 24 - [?] / [?] - 2 = [?]/1
y = [?]x
The linear equation is y = 8x and the slope of the graph is 8
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of y.
Using the points (2, 16) and (3, 24):
[tex]slope(m)=\frac{24-16}{3-2}=8[/tex]
Hence the linear equation is y = 8x
Find out more on linear equation at: https://brainly.com/question/14323743
a cook starts baking pies at the clock shown below. The first pie is done 25 min later. The 2nd pie is done 30 min later after the first pie which clock shows when the second pie was done
Answer:
1:45 pm
Step-by-step explanation:
its the hand thats a littke more on the left after 6
The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker’s dozen instead of 13 individual rolls?
Number of rolls
6
8
Baker’s dozen
Price ($)
$3.60
$4.80
$7.20
$0.55
$0.60
$0.70
$0.75
Answer:
0.60 cents
Step-by-step explanation:
Answer: 0.60
Step-by-step explanation:
Evan is going to the 50th state fair this weekend, it cost $10 to enter and each ride is $2. Create a linear function that could be used to determine how many "x" rides Evan can go in. What does the variable "y" represent?
Answer:
y represents the total amount he spent in x amount of rides+ the $10 fee.
Step-by-step explanation:
At x=0, y=10 because he needs to pay $10 to enter, and he haven't rode on anything yet.
x=1, y=12
x=2, y=14
x=3, y=16
... and so on.
Given the function f(x) x^2-2x/x^3 +9x^2-10x Find any holes, vertical asymptotes, and horizontal asymptotes there may be.
Answer:
See below
Step-by-step explanation:
I assume you mean [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex]:
Holes: Since [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex] reduces to [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex], then there is a hole at [tex]x=0[/tex] as [tex]x[/tex] exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).
Vertical Asymptotes: If we further reduce [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex] to [tex]f(x)=\frac{x-2}{(x+10)(x-1)}[/tex], then we see that there are vertical asymptotes at [tex]x=-10[/tex] and [tex]x=1[/tex]
Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator ([tex]2<3[/tex]), then there is a horizontal asymptote at [tex]y=0[/tex]
.pleseee help so important
my answer with solving steps
#CARRYONLEARNING
LOVEUALL
The point F( – 4,6) is translated 6 units right. What are the coordinates of the resulting point, F'?
i.e
[tex]\\ \sf{:}\Rrightarrow -4+6=2[/tex]
New co-ordinates:-
[tex]\\ \sf{:}\Rrightarrow F(2,6)[/tex]
what is the answer to 4 3/4 minus 1/3?? Plzz Respond by Tmrw ill give 45 points and brainliest
Answer:
53/12
Step-by-step explanation:
Conversion a mixed number 4 3/
4
to a improper fraction: 4 3/4 = 4 3/
4
= 4 · 4 + 3/4
= 16 + 3/
= 19/
4
To find a new numerator:
a) Multiply the whole number 4 by the denominator 4. Whole number 4 equally 4 * 4/
4
= 16/4
b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19
c) Write a previous answer (new numerator 19) over the denominator 4.
Four and three quarters is nineteen quarters
Subtract: 19/
4
- 1/
3
= 19 · 3/
4 · 3
- 1 · 4/
3 · 4
= 57/12
- 4/12
= 57 - 4/12
= 53/12
Help me plsss pls psl
Answer: A, B, D
it can’t be “C” because that would be equal to 40%
What is the answer to this?
Answer:
option b.)y=1/4x-7/2.....
Does (2, –2) make the equation y = –2x + –2 true?
Answer: no it doesn’t because -2 doesn’t equal to -6
Step-by-step explanation:
all you have to do is plug 2 for x value and -2 for y
-2= -2(2)+ -2
so -2= -4+ -2 and -4+ -2 is -6
therefor -2 doesn’t equal to -6
SOLVE HYPOTENUSE LEG-HL
-GEOMETRY
[tex]\huge \rm༆ Answer ༄[/tex]
The required information needed to prove the two triangles congruent by HL congruency criteria is ~
[tex] \sf {VW} \cong BA[/tex]If y is directly proportional to x and y is 12 when x = 10, what is y when x is 25?
Y = 25
Y = 30
Y = 20 5/6
Y = 26 1/5
None of the above
Answer:
Y= 30
Step-by-step explanation:
y=kx
when y=12, x=10
12=10k
k= 12/10
k = 6/5
when x= 25
y= 6/5 × 25
y= 30
Fred mixes 3 1/2 cups of flour, 1 1/4 cups of sugar, 2/3 cup of rye flour, and 1/3 cup of wheat flour. Will the ingredients fit into a 6-cup bowl?
What is the area of the parallelogram?
Answer:
24cm
Step-by-step explanation:
because 6 x 4 = 24 centimeters
Help i need the answer by 10am December 23
Show all work please!!
Zoom into image to see
Answer:
Simon: 55 hours
Alvin: 70 hours
Theodore: 159 hours
Total: 284 hours
Step-by-step explanation:
Let A, T, and S stand for the hours worked by Alvin, Simon, and Theodore.
We are told that:
A = S + 15,
T = 3S - 6
and
A + S + T = 284
Note that the first two equations state the value of A and T in terms of S. Let's use them in the third equation, so that we'll have only one unknow:
A + S + T = 284
(S + 15) + S + (3S - 6) = 284
5S + 9 = 284
S = 55
Now use this value of S in the first two equations to find A and T:
A = S + 15
A = 55 + 15
A = 70
T = 3S - 6
T = 3*55 - 6
T = 159
(55 + 70 + 159) = 284
what is 100,100,100,987 times 72
Answer: 7207207271064
Help please! Due today
Answer:
First triangle: 54.46 degrees
Step-by-step explanation:
For the first problem, solve for the third side, then the third angle, and then subtract from 180.
20^2 + 28^2 = c^2
400 + 784 = c^2
1184 = c^2
34.41 = third side
Find the third angle:
sin(90)/34.41 = sin(x)/20
20 * sin(90)/34.41 = sin(x)
35.54 is the third angle.
180 - 35.54 - 90 = 54.46. The angle with the question mark is 54.46. Do the other 2 problems the same way.
What is the property to be used in each equation to solve for x? APE, SPE, MPE or DPE? (Property of Equality)
x+47=28
20=x-11
3.9x=27.3
5/7=-5/7 x
-x=27
32-x=27
Answer:
S, A, D, D, M
Step-by-step explanation:
Always do the opposite of what is happening in the equation.
x + 47 = 28, is adding, so you would use subtraction to solve for x.
Please help me with this question.
Answer:
aww i help u.....
Step-by-step explanation:
my answer is letter ~~B CAUSE STUDEN BIS CONDYCTION LIKR FREE AT THE SCORED