743₁₆ = 7 • 16² + 4 • 16¹ + 3 • 16⁰
743₁₆ = 1792 + 64 + 3
743₁₆ = 1859
A pizza with one topping costs $11.
Each additional topping costs $2
more. Write a recursive formula
and an explicit formula for the
situation.
explicit formula:
recursive formula:
Given:
A pizza with one topping costs $11. Each additional topping costs $2 more.
To find:
The recursive formula and an explicit formula for the situation.
Solution:
The sequence of costs of pizza is
11, (11+2), (11+2+2), ...
11, 13, 15, ... are in A.P.
Here,
First term: a=11
Common difference: d=2
Explicit formula of an A.P. is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
[tex]a_n=11+(n-1)2[/tex]
[tex]a_n=11+2n-2[/tex]
[tex]a_n=9+2n[/tex]
Therefore, the explicit formula for the situation is [tex]a_n=9+2n[/tex].
Recursive formula of an A.P. is
[tex]a_n=a_{n-1}+d[/tex]
Where, [tex]a_1[/tex] is first term and d is common difference.
[tex]a_n=a_{n-1}+2[/tex]
Where, [tex]a_1=11[/tex].
Therefore, the required recursive formula is [tex]a_n=a_{n-1}+2[/tex] where [tex]a_1=11[/tex].
Help me graph this inequality
Answer:
Step-by-step explanation:
Write a linear function f with the values f(0) = 1 and f(-2)=-3,
Oy=-2x-3
O y = x + 2
O y = 2x + 1
O y=-3x + 1
Consider best strategy to solve the problem.
On a field trip, the ratio of teachers to students is 1:25. If there
are 5 teachers on the field trip, how many students are on the
trip?
5:1,25=4
1/4 teacher plus for echipa studenta.
Solve for a .
5.4 = a - (-1.8)
a =
Answer:
3.6 = a
Step-by-step explanation:
5.4 = a - ( -1.8)
Distribute minus sign.5.4 = a + 1.8
Move constant to the left hand side and change their sign.5.4 - 1.8 = a
3.6 = a
Simplify. 3/4−4x+1/2x−1/2+1/2x Enter your answer in the box. Do not use decimals in your answer
Answer:
-3x+1/4
Step-by-step explanation:
hope this helps!
Answer:
-3x+1/4
Step-by-step explanation:
i got it right on k12
What is the length of AC on a right triangle 84 156-x 7
Answer:
144
Step-by-step explanation:
i just took the test
An Olympic-sized swimming pool holds 2,500,000 liters of water. How many gallons of water does an Olympic-sized swimming pool hold? Round your answer to the nearest tenth.
Answer:
The Olympic sized swimming pool hold 660501.9 gallons of water.
Step-by-step explanation:
Given that:
Water hold by an Olympic sized swimming pool = 2500000 liters
We know that;
1 gallon = 3.785 liters
Therefore,
We will divide the total number of water in liters by 3.785 to find the number of gallons.
Gallons of water in pool = [tex]\frac{2500000}{3.785}[/tex]
Gallons of water in pool = [tex]660501.9[/tex] gallons
Hence,
The Olympic sized swimming pool hold 660501.9 gallons of water.
Please Help me with this question please please. I will mark brainliest.
Answer:
its just 22
Step-by-step explanation:
PLZ HELP ME WITH THIS!!! I WOULD MARK YOU BRAINLIEST!!!
the answer will be 2.5 hope that helps you
Answer:
2.5 or in other terms 2 1/2
Step-by-step explanation:
A soccer team sell three items for a fundraising the table shows the total sales for three item the team get to keep 1 dollars for every $10 day make in total sales .how much money will the team get to keep
Hats 196
Tshirt 504
Sweatshirt 420
Answer:
696589
Step-by-step explanation:
Answer:
Step-by-step explanation:
I Need help too! Please help as quick as you can
whats the slope intercept form of 5x-14y=-10
Answer: y = 5/14x + 5/7
Step-by-step explanation: write in slope intercept form y =mx + b
Please please please hellllllppp meeeeee !!!!!!!!!
What is an equation of the line that passes through the points (-2, 1) and (-6,-5)
Answer:
y=3/2x+4
Step-by-step explanation:
I am pretry sure
Andrew swims 22 laps at the same rate, how long does it take him
Answer:
who knows
Step-by-step explanation:
who knows
Select all expressions that are equivalent to 8.8.8.8.8
Answer:
the first one
the third one
and the forth one
Step-by-step explanation:
they all add up to the same amount
ANGLE KLM and ANGLE RST are supplementary angles. If ANGLE KLM is (7x) and ANGLE RST is (36-x) what is the value of x ? Please hurry, this is my final
19
18
30
24
Answer:
30
Step-by-step explanation:
Angle B measures 60°. What is the measure of the angle that is complementary to angle B?
30°
60°
120180°
If 12 cookies cost $3 how much would it be for 9 cookies
George is standing at the end of a 72 ft shadow cast by a tall building. The angle of elevation to the top of the tall building is . What is the height of the building?
Answer:
Errm please where is the angle of elevation
I think there should be an angle before we can find the height of the building
The height of the building is 44.91 feet
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Given that George is standing at the end of a 72 ft shadow cast by a tall building. The angle of elevation to the top of the tall building is 34.
Therefore we have;
tan ° A = opposite / adjacent
° A = 31;
The adjacent (height) = 72 ft
Now replacing;
tan 34 ° = x / 72
x = tan 34 ° ( 72)
x = 44.91
Therefore, the height of the building is 44.91 feet
Learn more about trigonometric;
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Andrea runs a fruit store. She started Sunday with 20 cherries in stock. During the day, she sold 17 cherries and got a shipment of fresh cherries. The shipment contained 4 times as many cherries as she started the day with. How many cherries does Andrea have in stock at the end off the day?
answer:
example
Answer:
Um.
Step-by-step explanation:
Could you give an example of what? Or no.?
The graph of a logarithmic function is shown below...
On a coordinate plane, a curve starts at y = negative 2 in quadrant 4 and curves up into quadrant 1 and approaches y = 2.
What is the domain of the function?
A. x 0
C. x < 1
D. all real numbers
Answer:
ITS B GOOD SIR!! I JUST FINISHED THE TEST
Step-by-step explanation:
huhjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
The domain of the function is [tex]x\geq 0[/tex]
To understand more, check below explanation.
Domain of function:The input values for which any function is defined, that input values aree known as the domain of function.
For any graph of a function, the x- axis values are the domain of the function.
From the given graph it is observed that, the input values for the function is [tex]x\geq 0[/tex].
Hence, the domain of the function is [tex]x\geq 0[/tex].
Learn more about the domain and range of the function here:
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What are not a benchmark fraction
Answer:
0/4, 0/6 those are examples of non benchmark fractions. 1/2 is a benchmark fraction.
Step-by-step explanation:
The required fraction that is said to be not a benchmark fraction is given as 1/8.5, 1/7, and similar fractions.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
here,
Benchmark fractions, this is the fraction values that are used frequently in any mathematical and analytical operations such values are, 1/2, 1/4, 3/4, and so on.
And none benchmark fraction values are 1/8.5, 1/7, and similar fractions. and their uses are none essential and none frequent.
Thus, the required fraction that is said to be not a benchmark fraction is given as 1/8.5, 1/7, and similar fractions.
Learn more about fractions here:
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Genna purchased a pair of shoes on a web site.The original price of the shoes was $120. She used the coupon code to receive a 20% discount. The web applied a 15% service fee to the discounted price. Genna's shoes were less than the original price by what percent
Answer:
use calculater
Step-by-step explanation:
Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help
Answer:
1. KLP + PLM = 180 degrees (straight line)
2. 3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. x = 27
Step-by-step explanation:
1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)
2. angle KLP = 3x, so
3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. 5 gives 4x = 108, so x = 27
Answer:
1. KLP + PLM = 180 degrees (straight line)
2. 3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. x = 27
Step-by-step explanation:
ngl i didnt really get this i i kinda have a some what idea on what this is
The exterior angles of the triangle added to their corresponding interior angles equal 180 degrees by virtue of the sum of angles on a straight line.
As such the interior angles are
1. 180 - (x+ 3)
2. 180 - (2x+ 1)
3. 180 - (3x - 4)
Given that the sum of angles in a triangle is 180 degrees
180 - (x+ 3) + 180 - (2x+ 1) + 180 - (3x - 4) = 180
540 - 6x = 180
6x = 540 - 180
6x = 360
x = 60
The exterior angles are
x + 3 = 60 + 3 = 63
2x + 1 = 2(60) + 1 = 121
and
3x - 4 = 3(60) - 4 = 180 - 4 = 176
WILL GIVE BRAINLIEST
just need answer:)
what are the coordinates of the point X'if the image is rotated 90° counter clockwise
Step-by-step explanation:
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative
⚠️HELP PLZ TIMED⚠️
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
O 2
O9
12
O 36
Hello I will give BRAINLIEST to whoever answers:)
6. A ball is selected at random from a bag containing
3 red balls, 4 black balls and 5 green balls. The
first ball is replaced and a second is selected. Find
the probability of obtaining:
(a) two red balls,
(b) two green balls.
Answer:
two green balls
Step-by-step explanation:
because of many reasons boy
Answer:
a. 1/16 b. 25/144
Step-by-step explanation:
Since the bag does not change each time, the probability stays the same. To get the desired outcome both times, we must square the probability.
What is the y-value of the solution of the system of equations given below?
3x + 2y = -6
y = 2x + 4