Answer:
−6a^5b+c
Step-by-step explanation:
Determine the number of terms n in each arithmetic series.
12) a1 = 13, d = 3, Sn = 1225
Answer:
The number of terms n in arithmetic series is n=25
Step-by-step explanation:
We are given:
a₁ = 13
d = 3
Sₙ = 1225
We need to find number of terms i.e n
The formula used will be: [tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]
Putting values and finding n
[tex]S_n=\frac{n}{2}(2a+(n-1)d)\\1225=\frac{n}{2}(2(13)+(n-1)3)\\1225=\frac{n}{2}(26+3n-3)\\1225=\frac{n}{2}(23+3n)\\2(1225)=n(23+3n)\\2450=23n+3n^2\\3n^2+23n-2450=0[/tex]
Now, solving using quadratic formula to find value of n:
[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Putting values: a=3, b=23 and c=-2450
[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\n=\frac{-23\pm\sqrt{(23)^2-4(3)(-2450)}}{2(3)}\\n=\frac{-23\pm 173}{6}\\n=\frac{-23+ 173}{6}, n=\frac{-23- 173}{6}\\n=25, n=-\frac{98}{3}[/tex]
So, we get: [tex]n=25, n=-\frac{98}{3}[/tex]
Since number of terms can't be negative so, n= 25
So, the number of terms n in arithmetic series is n=25
five more than twice a number is less than ten as an inequality?
plz help!!!!!!!
Answer:
2x+5<10
Step-by-step explanation:
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A bank says you can double your money in 8 years if you put $2,000 in a simple
interest account. What annual interest rate does the bank pay?
1%
25%
2.5%
12.5%
Answer:
1%
Assuming that interest is paid yearly,
4000 = 2000*(1+x)^8
2 = (1+x)^8
1 + x = root of 2 in 8th degree (2^1/8)
x = 2^1/8 - 1
x = 0.0905
or 0.01
I.e. 1%
Answer:
12.5
Step-by-step explanation:
2000 / 12.5 = 225
225 x 8 = 200
12-1/5r = 2r +1 solve for r
Answer:
r=5
Step-by-step explanation:
1.simplify both sides of the equation.
2.substract 2r from both sides.
3.substract 12 from both sides.
4.multiply both sides by 5/(11)
5. your answer will be 5.
r=5
Given g(x)=f(x)+k, what value of k transforms function f into g?
Answer:
fg (gx)= xf (kg)
gf (fx) = f
5. A team of mountain climbers makes camp 1.48 kilometers above sea level. They climb another 2.91
kilometers to the mountain's peak. How tall is the mountain?
Answer:
4.3068
Step-by-step explanation:
so what you do is 1.48 x 2.91
Answer:
= 4.39km
Step-by-step explanation:
Camp distance = 1.48Km
Distance travelled afterwards = 2.91km
Mountain Height = total distance travelled
So total distance = 1.48 + 2.91
= 4.39km -----------> final answer
You use a line of best fit set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.793. How confident can you be that your predicted value will be reasonable close to the actual value?
Answer:
Moderately confident
Step-by-step explanation:
Given that :
Correlation Coefficient = 0.793
The correlation Coefficient gives the strength of relationship between linear variables ranging from - 1 to 1.with values close to either - 1 or 1 depicting strong negative or positive correlation respectively, while values close to 0 signifies a weak correlation. Since the correlation Coefficient Given by the model is close to 1(0.793) one can be moderately confident that the value obtained from the model will be reasonably close to the actual value.
Evaluate 5x-6 when x=3
Answer: 9.
5(3) = 15 - 6 = 9. But if you have to switch to addition, 5(3) = 15 + 6 = 21. Hope this helps!
Answer:
9
Step-by-step explanation:
5*3=15
15-6=9
Jane is thirteen years younger than twice Ruby’s age. Nora is 5 years older than Ruby. If their ages sum to 52, find each girl’s age.
Answer:
J=17 N=20 R=15
Step-by-step explanation:
J=Jane
R=Ruby
N=Nora
J=2R-13
N=5+R
J+N+R=52
(2R-13)+(5+R)+R=52
Slove for R and plug into each equation
Answer:
Ruby is 15, Jane is 17 and Nora is 20.
Step-by-step explanation:
Let x represent the age of Ruby.
Jane: 2x - 13
Ruby: x
Nora: x + 5
52 = (x) + (2x - 13) + (x + 5)
52 = x + 2x - 13 + x + 5
52 + 13 - 5 = x + 2x + x
60 = 4x
x = 15
Jane:
2(15) -13
= 17
Nora:
(15) + 5
= 20
Marvin drew a scale drawing of a house. He used the scale 7 centimeters = 1 meter. What is the drawing's scale factor?
Samantha and Felicity are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs. Samantha sold 6 packages of tulip bulbs and
12 bags of daffodil bulbs for a total of $198. Felicity sold 7 packages of tulip bulbs and 6 bags of daffodil bulbs for a total of $127. Find the cost each of one package of tulips bulbs and one bag of daffodil bulbs.
The histogram represents the number of hours band students practice their instruments. Use the drop-down menus to complete the statements. The bars represent . According to the histogram, students spend 3 or more hours practicing. According to the histogram, students spend fewer than 2 hours practicing.
Answer:
Number of students
5
8
Step-by-step explanation:
Edg 2020
Answer:
number of students,5,8
Step-by-step explanation:
Find the solution for the equation.
3(n-4)=-12
round to the nearest hundredth if necessary.
Ayden is Buyingbagel for a family Gathering. Each bagel cost $2.00 Answer the question Regarding the relationship between the total cost and the number of bagels purchased. The independent variable represents the Total cost Number of bagels purchased $2 F(x)=2x
Answer:
$4
Step-by-step explanation:
Step one:
given data
Each bagel cost $2.00
Also, the cost function is given as
[tex]F(x)=2x[/tex]
Step two:
Required
The total cost of bagels purchased
From the cost function, we can see already that Ayden Bought 2 Bagel, hence if one bagel cost $2 then
[tex]F(x)=2(2)\\\\F(x)=4[/tex]
The two bagels will cost $4
The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing? (–∞, 6) (–∞, 10) (6, ∞)
Answer:
the answer is D. (10, ∞)
Step-by-step explanation:
can anyone show me the problem in 35874 divided by 200?
Answer:
179.37
Step-by-step explanation:
35874 ÷ 200 = 179.37
PO =
13.
If Q is the midpoint of PR, find the coordinates of R
If P(6,2) and Q(-4,5).
(Show using algebra or show the pattern used)
P
R
RI
Using mid point formula.
In which we have
Q(-4,5)=(6+x/2) , (2+y/2)
-4=6+x/2 and 5 =2+y/2
-8=6+x and 10=2+y
x=-14 and y=8
Therefore the required value of R{-14,8}
Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. What fraction of a box does each student receive?
Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. So, the fraction of each student receives 13/48 of a box of supplies.
To find out what fraction of a box each student receives, we need to divide the total number of boxes (3 1/4 boxes) by the number of students (12 classmates).
Step 1: Convert 3 1/4 to an improper fraction.
3 1/4 = (4 × 3 + 1) / 4 = 13/4
Step 2: Divide the total number of boxes by the number of students.
Fraction of a box per student = (Total boxes) / (Number of students)
Fraction of a box per student = 13/4 ÷ 12
Step 3: To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number (flipping the fraction).
Fraction of a box per student = 13/4 × 1/12
Step 4: Simplify the fraction if possible.
Fraction of a box per student = 13/4 × 1/12 = 13/48
So, each student receives 13/48 of a box of supplies.
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HELP ME PLEASE AND QUICK TOO
(02.01)
Which is the ratio of the number of months that begin with the letter M to the total number of months in a year? (2 points)
a
2 to 12
b
2 to 10
c
10 to 12
d
12 to 2
Answer:
A is the right answer for your question.
I need help with math! I hope you are having a great day!
Which is more, 79 pints or 10 gallons?
Answer:
79 Pints =
9.875 Gallons
so 10 gallons is more
Step-by-step explanation:
can anyone turn 3.25x+6.50y=520 into slope intercept form? pls!
Answer:
y=-1/2x+80
Step-by-step explanation:
Answer:
y = 1/2 + 80
I just divided the whole sequence by 6.50, so that y could end as 1y = etc.
solve y= 2x^2 + 4x + 1 by quadratic factoring
Solve the rational equation by combining expressions and isolating the variable y (solve for y). So, nothing further can be done with this topic:
Answer: y=2x^2+4x+1
Answer:
five and thirty eight thousandths
−5=5(d+4) whats the answer
Answer:
-5
Step-by-step explanation:
what are common factor of 18x+24x+46
Answer:
2
Step-by-step explanation:
18, 24, and 46 can be divided by 2
Nataly collects stickers. Her grandma gave her 64 cat stickers for her birthday. If she set
aside 4 pages for her cat stickers and wants the same amount of stickers on each, how
many stickers will Nataly put on each page?
16
20
18
14
PLS HELP
Answer:
16
Step-by-step explanation:
16 x 4 = 64
Nataly will have to put 16 cat stickers on each page.
solve for the equation 3r = -24
Answer:
yes
Step-by-step explanation:
bc Quick maths
Answer:
r=-8
Step-by-step explanation:
ect the statement that best describes a rational number when expressed as a decimal.
A rational number in decimal form has both a positive and negative solution.
A rational number in decimal form will never terminate or repeat.
A rational number in decimal form will always be positive.
A rational number in decimal form either terminates or repeats.
The statement that best describes a rational number when expressed as a decimal is a rational number in decimal form either terminates or repeats.
What is a rational number?
A rational number is a number that can be expressed as a fraction of two integers. Examples of rational numbers are 1, 1/2 and 0.1.
A decimal is a non-integer that is made up of a whole number and non-integers. The whole number and the integers are separated by a decimal point. Examples of decimals are 0.3, 1.5.
A terminating decimal a decimal which can be expressed as a finite number of figures. A repeating decimal is a decimal that has a digit that repeat without ending.
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How would I translate 8+7t=22 into a verbal sentence.
Use the figure for Items 2 and 3. Lines PS and TR intersect at point Q.
P
T
What is mZSQR?
R
(2m + 4)º
S
(3m + 1)º
The measure of angle SQR is 74
How to determine the value of SQP?The angles are given as
2m + 4 and 3m + 1
These angles are same side interior angles
So, we have
2m + 4 + 3m + 1 = 180
Collect the like terms
So, we have
2m + 3m + 4 + 1 = 180
Evaluate the like terms
So, we have
5m = 175
Divide both sides by 5
m = 35
Substitute m = 35 in SQR = 2m + 4
SQR = 2 x 35 + 4
Evaluate
SQR = 74
Hence, the measure of angle SQR is 74
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