Given :
The sequence is -5 , -2 , 3 , 10 , 19 .
To Find :
The nth term of the given sequence .
Solution :
Difference between first 2 terms :
-2 - ( -5 ) = 3 1 term
3 - ( -2 ) = 5 2 term
10 - 3 = 7 3 term
19 - 10 = 9 4 term
From the above observation we can say that difference is increasing in odd number .
So, the nth term will be :
[tex]a_{n+1}= -5 + (2n+1)[/tex] for n greater than equal to 0.
Hence, this is the required solution.
The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?
O slope: 15, y-intercept: 10
O slope: 10, y-intercept: 15
Oslope: 5, y-intercept: 25
O slope: 25, y-intercept: 5
solve for slope y intercept and the equation please
Answer:
y=x-5 slope=1 y-intercept=-5
Step-by-step explanation:
18% as a fraction in its simplest form
Answer:
9/50
Step-by-step explanation:
18% = 18/100
GCF of 18 and 100 = 2
(18 ÷ 2)/(100 ÷ 2)
9/(100 ÷ 2)
9/50
identify the zeros of each function
(-5,0)
Step-by-step explanation:
Numbers that lie on the x and y axis
If in a stick of chalk, 3 gram is carbon, what is the weight of the chalk piece?
Answer: . Hence the weight of chalk stick is 25 g
Step-by-step explanation: Quantity of Carbon in chalk stick = 3 g Let the weight of chalk be x g. Hence the weight of chalk stick is 25 g
Carmen needed 23 of a yard of fabric to make a shirt and a 12 yard of fabric to make a matching skirt. How much total fabric did Carmen need to buy? 1 yard of fabric 1 yard of fabric 34 yard of fabric , 3 fourths, yard of fabric 116 yards of fabric , 1 and 1 sixth, yards of fabric 56 yard of fabric
Answer:
38/3 yards
Step-by-step explanation:
Given that,
Fabric required to make a shirt = 2/3 of a yard
Fabric required to make a skirt = 12 yards
Total fabric needed,
[tex]x=\dfrac{2}{3}+12\\\\=\dfrac{38}{3}\ yards[/tex]
Hence, 38/3 yards of fabric is needed.
TRANSLATIONS on the coordinate plane plz help me
here use this bud figure it it out
Choose the country which helped India to set up Bhilai Iron and Steel plant in 1959.
a) United States of America
b) Soviet Union
c) Japan
d) France
Soviet union, union of Soviet socialist republic
Find the radius x of OC.
a) 4
b) 6
c) 12
d) 12.8
Answer:
the correct answer is 6..... option b
need to pass this class!
Kevin and Christy both saved money for their class trip. Kevin saved the same amount each week. The total amount that Kevin saved at the end of every two weeks is shown in the table below.
Answer:
Step-by-step explanation:
Probability of drawing one yellow ball from a box containing 20 blue balls, 15 white balls and 10 yellow
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be [tex]\frac{successful}{total}[/tex].
In this case, there are a total of [tex]20+15+10=45[/tex] ways to choose any ball, since there are [tex]45[/tex] balls in the box. However, only [tex]10[/tex] are yellow, so there are [tex]10[/tex] ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is [tex]\frac{10}{45}=\frac{2}{9}[/tex]. Hope this helps!
A roller coaster is at the top of a 72 m hill and weighs 134 kg. The coaster (at this moment) has____________ energy. Calculate it.
A. Kinetic Energy and 347,328J
B. Kinetic Energy and 9,648J
C. Potential Energy and 9,648J
D. Potential Energy and 94,550.4J
Answer:C
Step-by-step explenation: m=134kg,h=72m,g=10m/s
PE=mgh
PE=(134kg)(10m/s^2)(72m)
PE=964800J
Find the excluded value of the function Y= - 10/6x-5. The excluded value is x =??
Answer:
The excluded value is x = 5/6
Step-by-step explanation:
Here, we want to calculate the excluded value
The excluded value is simply the value of x that will make the denominator of the fraction equals zero
We have this as;
6x -5 = 0
6x = 5
x = 5/6
A tip for great service is 20% of the bill. If the bill for dinner is $32, what is the total cost of dinner?
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38 is 90 percent of what
Answer:
42.22 (2 repeating)
Step-by-step explanation:
When you are given percentage problems, you deal with the percent (%), base (amount you are starting with), and the amount.
Starting with the most basic equation,
Percent * Base = Amount
In this problem, you are given the amount (38) and the percent (90)
So to find the base, you can do
Base = Amount / Percent
As always, convert the percent to a decimal by dividing by 100.
38/ 0.9 = 42.222 repeating
Answer:
38 is 90 Percent of What Number?
42.22
Step-by-step explanation:
HELP MATCHING EACH PROPORTION WITH ITS SOLUTION
no puedo ver el problema
4--9w^2
Can Someone help PLS
Answer:
Step-by-step explanation:
Use the identity: a² - b² = (a + b)(a- b)
4 - 9w² = 2² - (3w²)
= (2 + 3w)(2 - 3w)
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which is larger, 9 kilograms or 8,500 grams?
Answer: 9 kilograms
Step-by-step explanation:
9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.
What is the slope of the line?
What is the y-intercept?
Write the equation of the line
Answer:
slope is 2
y-intercept is 3
equation y=2x+3
Step-by-step explanation:
Answer:
slope=4/2 or 2
y-intercept=3
equation=y=2x+3
the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3
what is the common ratio? {250, 50, 10, 2...}
Answer:
5
Step-by-step explanation:
The common ration can be found by dividing the 2nd number from the 1st number:
250 / 50
which equals 5
250 / 50 = 5
you can do this by any number, for example:
50 / 10 =5
10 / 2 = 5
What is b PLSSSS ANSWER
WILL GIVE BRAINLIEST
Answer: -15 divided by 0.3 is the same as -15/3/10 but to solve we can do -15 times 10/3 witch is -150/3=-50
Step-by-step explanation:
Find all numbers whose absolute value is -7. If there is more than one, separate them with commas.
Find the amount and compound interest on 5000 at 6% per annum for 3 years annual
Answer:
The amount is 5,955.08
Step-by-step explanation:
Here, we want to calculate compound interest
We can find this by using the compound interest formula
A = P( 1 + r/n)^nt
A is amount
P
is the principal = 5,000
r is the interest rate = 6% = 6/100 = 0.06
n is the number of times per year in which the interest is compounded = 1
t is the number of years = 3
Substituting these values;
A = 5,000(1 + 0.06/1)^3(1)
A = 5000(1.06)^3
A = 5,955.08
Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?
A. $3.96
B.$3.80
C.$0.40
D.$5.40
Answer:
A. $3.96
Step-by-step explanation:
$2.20 × 1.8 pounds = $3.96
find the HCF and LCM of 150 and 225
Answer:
The LCM of 150 and 225 is 450.Steps to find LCM
Find the prime factorization of 150
150 = 2 × 3 × 5 × 5
Find the prime factorization of 225
225 = 3 × 3 × 5 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 3 × 3 × 5 × 5
LCM = 450
Look at the methods to find the HCF (150, 225)HCF of 150 and 225 by Prime Factorization
HCF of 150 and 225 by Listing the Common Factors
Method 1: Find HCF of 150 and 225 by Prime Factorization
Represent 8 and 14 as a product of its prime factors.
Prime factorization of 150 is 2 × 3 × 5 × 5
Prime factorization of 225 is 3 × 3 × 5 × 5
The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.
HCF is the product of the factors that are common to each of the given numbers.
So, HCF of 150 and 225 is 3 × 5 × 5 = 75
Method 2: Find HCF of 150 and 225 by Listing the Common Factors
The factors of 150 and 225 are shown below.
Step-by-step explanation:
Hope it is helpful.....
please help!! i’ll mark best answer brainliest!!
Answer:
Z = 13
Step-by-step explanation:
Both of the angles should equal 90.
2z + 5 + 5z - 6 = 7z - 1
7z - 1 = 90
7z - 1 + 1 = 90 + 1
7z = 91
7z ÷ 7 = 91 ÷ 7
Z = 13
Hope that helped you and have a wonderful day!
If your driving 60miles an hour and you drive for 1hour how far do you travel?
Answer:
60 miles
Step-by-step explanation:
1 hour=60 miles
1 hour=60 miles
Please Help!! Brainliest Answer! Thank you!
Answer:
D. 157.5
Step-by-step explanation:
Formual for sum of interior angles
(n-2)*180
so 14*180=2520
but that is the sum
divide that by 16 (2520/16) = 157.5