Answer:
1Step-by-step explanation:
The nth term of an exponential sequence is expressed as ar^n-1
The nth term of a linear sequence is expressed as Tn = a + (n-1)d
a is the first term
r is the common ratio
d is the common difference
n is the number of terms
Let the three consecutive terms of an exponential sequence be a/r, a and ar
second term of a linear sequence = a +d
third term of a linear sequence = a + 2d
sixth term of a linear sequence = a + 5d
Now if the three consecutive terms of an exponential sequence are the second third and sixth terms of a linear sequence, this is expressed as;
a/r = a + d ..... 1
a = a + 2d ..... 2
ar = a+ 5d .... 3
From 2: a = a + 2d
a-a= 2d
0 = 2d
d = 0/2
d = 0
Substitute d = 0 into equation 1:
From 1: a/r = a + d
a/r = a+0
a/r = a
Cross multiply
a = ar
a/a = r
1 = r
Rearrange
r = 1
Hence the common ratio of the exponential sequence is 1
Ravi got 80 candies for her daughter's birthday. Each candy weighed 50 grams. If was price of candies was Rs. 10 per kilogram, how much did he pay?
Answer:
Rs. 40
Step-by-step explanation:
50g = 1 candy1000g = 20 candies20 candies = Rs. 1080 candies = Rs. 40Ravi paid the amount of Rs. 40 for the candies for her daughter's birthday.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
If the candies weighed 50 grams each, the total weight of the candies is 80 x 50 = 4000 grams.
To convert the weight from grams to kilograms, we divide by 1000. So, the total weight in kilograms is 4000 / 1000 = 4 kilograms.
If the price of candies was Rs. 10 per kilogram, the total cost for 4 kilograms is 4 x 10 = Rs. 40.
Therefore, he paid Rs. 40 for the candies.
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You are given parallelogram ABCD and side AB is congruent to side DC.
Prove segment AM is congruent to segment CM.
*Upload a picture of your markings along with your proof
Given triangle RPQ is isosceles and C is the midpoint of line RQ.
Prove that angle RPC is congruent to angle QPC.
*Upload a picture of your markings along with your proof
ABM=CDM-DMC=BAM alternate interior angles
AMB=CMD verticle angles
triangle AMB=CMD by ASA
A=c CPTC
ABD=BDC, BAC=ACD, ADB=DBC by CPCTC
AM=CM def of a Parallelogram
2.
△
RPQ is an isosceles triangle. C is the midpoint of line RQ- Given
RPC=QPC- construction
PC=PC reflective property
∠
RPC= QPC- SAS
I just want the answer. Plis help me
Find the equation of the line that is parallel to the given line and passes through the given point.
y=-6x + 9; (8,9)
The equation is y =
Answer:
y = -6x - 39
Step-by-step explanation:
A parallel line will have the same slope so m= -6, but it will have different points.
So we have y= -6x + b and the points are (8,9)
Substitute that in
9 = -6*-8 + b
9 = 48 + b
subtract 48 on both sides
9-48 = 48 - 48 + b
-39 = b
so equation is
y = -6x -39
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Answer:
y=-6x+9
0=-6x+9
6x=9
x=9/3
x=3/2
In the following experiment, determine whether or not the probabilities are binomial probabilities. If they are, identify the values for n, p, and q. A die is rolled 30 times. What is the probability of getting x even numbers
This is a binomial probability experiment. Each trial is independent of one another, ie each roll is independent. The probability of getting an even number is 3/6 = 1/2 = 0.5 and that probability does not change from roll to roll. Furthermore, the value of n is fixed and not infinitely large. Lastly, each trial outcome comes down to two choices: either you get an even number, or you don't. So we've met the requirements of a binomial probability distribution.
The values of n, p and q are:
n = 30 = sample sizep = 0.5 = probability of getting an even numberq = 0.5 = probability of not getting an even number.Answer:
c
Step-by-step explanation:
plz look at chart then answer 1 question
Answer:
0.84
Step-by-step explanation:
not for sure but i think im right
Answer:
0.84
Step-by-step explanation:
12 x 0.07 is 0.84
While in Canada, Renita bought a souvenir that is 15 centimeters long. She knows that 1 inch equals 3 centimeters. What is the length of the souvenir in inches?
Answer: 5 inches
Step-by-step explanation:
Length of souvenir = 15 cm
If 1 inch = 3 centimeters
Length of souvenir in inches :
To obtain the length of souvenir in inches :
Divide the number of inches by 3
Length of souvenir / 3
15 / 3 = 5
Hence, the length of souvenir in inches = 5 inches
Lucy did 8 laps of an 800m derek did 12 laps of a 1.5km track on his bike who went further and by how munch
Answer:
Derek; by 11600 m.
Step-by-step explanation:
Convert 1.5km into m.
1.5 is 1500m.
1500 * 12 = 18000 m
8 * 800 <= Lucy
6400 m <= Lucy's distance
18000-6400=11600m
Based on the information, Derek went further by 11600m.
Lucy did 8 laps of an 800m. The total distance will be:
= 8 × 800m
= 6400m
Derek did 12 laps of a 1.5km track. The total distance will be:
= 12 × 1500m
= 18000m
Therefore, the difference will be:
= 18000m - 6400m
= 11600m
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write the equation of the line in slope- intercept and point-slope form.
Answer:
Step-by-step explanation:
As we move from the x-intercept (-2, 0) to the y-intercept (0, 4), x increases by 2 (this is the run) and y by 4 (this is the rise). Thus, the slope of this line is
m = rise/run = 4/2 = 2.
Given the y-intercept (0, 4) and the slope (2), the slope-intercept form of the equation of this line is y = 2x + 4.
From this we get the point-slope form:
y = 2x + 4 becomes y - 4 = 2(x - 0), or just y - 4 = 2x.
A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12 more feet to get a better look at a coral reef.
Complete question :
A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12
more feet to get a better look at a coral reef.
What is the scuba diver's final position relative to sea level?
Answer:
- 22 feets
Step-by-step explanation:
Given that:
Starting position of scuba diver = 10 feets below sea level = - 10 feets
Then a further descent of 12 feets in other to get a better look of the coral Reef
Further descent = - 12 feets (below sealevel)
Hence, Final position of the scuba diver will be:
Starting position + depth of further descent
(-10 + - 12) feets
-22 feets
A rectangular block of metal is 25cm long, 13cm wide and 10cm high.
The metal block is melted down and all of the metal is used to make a cube.
Work out the length of each side of the new cube formed.
Give your answer rounded to 1DP.
Answer:
14.8 cm
Step-by-step explanation:
Volume of the block: 25 × 13 × 10 = 3250
Side length of the cube: [tex]\sqrt[3]{3250}[/tex] ≈ 14.8
Answer:
14.8
Step-by-step explanation:
Volume of box = volume of cube
Which of the following is the multiplicative inverse of 4?
16
-4
1/4
-1/4
The exterior angle of a regular polygon is 36º.
How many sides does the polygon have?
Answer:
10
Step-by-step explanation:
The sum of the measures of the exterior angles in a convex polygon is 360°. And each exterior angle measure 36 degrees so Number of side will be 10.
Plz help will mark brainliest :)
If you don’t know please don’t answer it’s for a final
(For both drop down menus)
A. An even
B. An odd
C. Neither an even nor an odd
Answer:
an odd an even
Step-by-step explanation:
plz mark as brainliest. my first answer
Mimi and her friend went to the Burger Barn for lunch. Their bill
totaled $24.68. They left a 15% tip for their waitress. How much
tin did they leave
Answer:
they tipped = 15% of 24.68 = 15/100*24.68 = 3.702
Step-by-step explanation:
Answer:
Tip: $3.70
Total: $28.38
Step-by-step explanation:
bill: $24.68
tip: 0.15 * 24.68 = $3.70
Total: 24.68 + 3.70 = $28.38
PLEASE HELP ME WITH THIS I NEED HELP ASAP
Answer:
25:10
Step-by-step explanation:
Convert 7 gallons to cups
Answer:
112 cups
Step-by-step explanation:
multiply the gallons by 16 to get 112 cups
Answer:
112 U.S Cups
Step-by-step explanation:
Hiii I neeeeedddddd helpppppppppppppp
Answer: 9.4
a² + b² = c²
5² + 8² = c²
25+64=c²
89 = c²
√89 = √c²
9.4 = c
Step-by-step explanation:
Answer: 9.4
a² + b² = c²
5² + 8² = c²
25+64=c²
89 = c²
√89 = √c²
9.4 = c
93% marked up 35? i need it like nowwwww
Answer:
How do you calculate a 35% markup?
Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage.
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Decrease 40 by ratio of 4:5
A decrease in the ratio 4:5 implies that :
New quantity:Old quantity = 4:5
Let the new quantity be [tex] \bf \: x[/tex]
[tex] \bf∴ x : 40 = 4:5[/tex]
[tex] = > \bf \frac{x}{40} = \frac{4}{5} [/tex]
[tex] \bf = > 40 \times \frac{x}{40} = 40 \times \frac{4}{5} [/tex]
[tex] \bf = > x = 8 \times 4[/tex]
[tex] \bf = > x = 32[/tex]
So, the new quantity is 32
Arrange the decimal fractions in descending order.
1.3 0.13 3.1 0.31
Answer:
0.13 0.13 3.1.3
Step-by-step explanation:
Hope it's answer you plz mark as Brainlist
4.
What is the slope of the line with the equation y = 4x + 12
a) 4
b) 1/4
C) -4
d) -1/4
Find the Triangle’s angles
A new cars salesperson, sold an average of $28,000 per day for the first 5 days she worked.
The next 3 days she worked, she sold an average of $42,000. How much did she sell on average
per day over the entire 8 days?
Answer: 15
Step-by-step explanation:
The average number of cars sold for entire 8 days is $33250.
What is the average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, a new cars salesperson, sold an average of $28,000 per day for the first 5 days she worked.
So, number of cars sold for 5 days =28,000×5
= 140000
The next 3 days she worked, she sold an average of $42,000.
Number of cars sold for 3 days
= 42,000×3
= 126000
So, average of 8 days =(140000+126000)/8
= 266000/8
= 33250
Therefore, the average number of cars sold for entire 8 days is $33250.
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Which would be used to solve this equation? Check all that apply.
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
PLSSSS HELPPPP
Answer:
whats the equation??
Step-by-step explanation:
i need to know what the equation looks like to answer
a middle school has 520 students, 75% of the students ride the bus to school. How many students do not ride the bus to school?
Answer:
130 students do not ride the bus to school.
Step-by-step explanation:
520 * .75 = 390
390 students ride the bus to school.
520-390=130
130 students do NOT ride the bus to school.
Hope this helps! :)
Give the property that justifies each step.
Answer:
Please check the explanation below.
Step-by-step explanation:
Some of the properties are defined as:
Distributive property[tex]a(b+c) = ab+ac[/tex]
For example,
suppose a=3, b=4, c=5
3(4+5) = 3(4) + 3(5)
3(9) = 12+15
27 = 27
Subtraction property of Equalityif (a=b), then a-c = b-c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a-c = b-c ⇒ 2-5 = 2- 5 ⇒ -3 = -3
Addition property of Equalityif (a=b), then a+c = b+c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a+c = b+c ⇒ 2+3 = 2+3 ⇒ 5 = 5
Multiplicative property of Equalityif (a=b), then a×c = b×c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a×c = b×c ⇒ 2×5 = 2 × 5 ⇒ 10 = 10
Division property of Equalityif (a=b), then a÷c = b÷c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a÷c = b÷c ⇒ 2÷5 = 2 ÷ 3 ⇒ 2/5 = 2/5
Let us solve the given equation using the above properties.
7n-16=47 Given
7n-16+16=47+16 1) Addtion property of Equality ∵ if (a=b), then a+c = b+c
7n=63 2) simplify
n = 9 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c
Anyone know the answer?
Answer:
-62
Step-by-step explanation:
Answer
46
Step-by-step explanation:
6(32)−8
=(6)(9)−8
=54−8
=46
Find the slope and type the correct code.
Answer:
50 meter ka 10 km
Step-by-step explanation:
50 meter ka 10 km
PLEASE HELPP! The diameter of a decorated plate is 20 centimeters. There is a flower painted every 15.7 centimeters around the edge of the plate. How many flowers are painted on the plate? Use 3.14 for
Answer:
4 flowers
Step-by-step explanation:
First we need to calculate the circumference of the plate.
C = πd
Given
diameter d = 20cm
C = 3.14(20)
C = 62.8 cm
If there is a flower painted every 15.7 centimeters around the edge of the plate, the amount of flower on the plate will be;
Number of flower = Circumference of the plate/length of flower
Amount of flower = 62.8/15.7
Amount of flower = 4
Hence there are 4 flowers painted on the plate
Answer:
4
Step-by-step explanation: