Solution
The fourth diagonal is
\(1,4,10,20,35,...\)We want to find the 11th number
\(\begin{gathered} T_1=a_1=1 \\ T_2=a_2-a_1=4-1=3 \\ T_3=a_3-a_2=10-4=6 \\ T_4=a_4-a_3=20-10=10 \\ T_5=a_5-a_4=35-20=15 \end{gathered}\)We also compute
\(\begin{gathered} T_1=1 \\ T_2-T_1=3-1=2 \\ T_3-T_2=6-3=3 \\ T_4-T_3=10-6=4 \\ . \\ . \\ . \\ T_n-T_{n-1}=n \\ Adding\text{ up the above we have} \\ T_n=1+2+3+...+n \\ T_n=\frac{n(n+1)}{2} \end{gathered}\)To get the 11th number
\(\begin{gathered} a_{11}=T_1+T_2+T_3+...+T_{11} \\ \\ a_{11}=\sum_{n\mathop{=}1}^{11}[\frac{n(n+1)}{2}] \\ \\ a_{11}=286 \end{gathered}\)The answer is
\(286\)please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
Help plis plis
18. Find the sum of (x + 3) and
(- x - 4).
Help plis
Answer:
-1...................
Step-by-step explanation:
x+3-x-4
o-1
-1
Answer :
-1
Explanation:
please mark me brainliest and follow me my friend.
zack borrowed some money from his parents to buy a cell phone his purchase and plan to repay his parents, is shown on the graph below. determine the intercepts and explain what each intercept means
Answer:
where is the graph?
Step-by-step explanation:
how do you expect people to answer your question if the entire question is based on the graph
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The area of a circle is 25.12 square yards. If the dimensions of the circle are tripled, what will be the area of the new figure?
1. 226.08 yd 2
2. 8.37 yd 2
3. 75.36 yd 2
4. 150.72 yd 2
Answer:
75.36
Step-by-step explanation:
if its 25.12 jus multiply it by 3 since its tripled
Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
Complete question is;
Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
Write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.
Answer:
Deposits are; +21.68, +42.09, and +65.44.
Withdrawals are; -4.64, -23.11, and -9.78
Step-by-step explanation:
We are told that the deposits are;
$21.68, $42.09, and $65.44.
Now, she withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
We are told to write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.
A rational number is a number that can be expressed as the ratio of two integers. In this question, by inspection, all the given values for deposits and withdrawals can be expressed as the ratio of 2 integers.
Thus;
Deposits are; +21.68, +42.09, and +65.44.
Withdrawals are; -4.64, -23.11, and -9.78
Find the vertex of the graph of the quadratic function by completing the square or using the vertex formula.
f(x) = 5x² - 30x + 11
Answer:
f(x)= 20-11+30x
= 9/30
didn't know where else to place this except math cuz it's the most popular but I was wondering if I would have a "boost" bc a family member of mine is on the board of trustees of a top 20 private university? it's not a parent or obv a sibling but we are related so can that be considered a legacy? asking bc someone said I can have a boost if I knew someone on the board but I thought that didn't count. Will give brainliest for best answer
Answer:
uh, I am 12 but I will try my best to answer your question :D
It depends if you trust the person for what they said, not sure exactly all this is, but I think if it's a private university, then it would be called a "boost"
Step-by-step explanation:
Can I have brainiest please? I mean, I did try my best to answer your question for being 12 years of age! I hope this helped you! Have a wonderful day! God bless!
What angle is this?
A school sports team sold candy bars to raise money for new uniforms. The table shows the amount of candy sold each week for three weeks.
Week Amount Sold
Week 1. 32%
Week 2. 8/25
Week 3. 17/51
For which weeks did the team sell the same amount of candy bars?
"A school sports team sold candy bars to raise money for new uniforms.", The team sold the same amount of candy bars at
Week 3. 17/51 or 0.33 Option C.
This is further explained below.
For which weeks did the team sell the same amount of candy bars?Generally, to give up something of worth in exchange for money or another commodity of value My brother bought the bicycle from him so that he could put it up for sale. The shop is a retailer of footwear. to be marketed or given a price The new product is doing quite well in the marketplace. Each one of them retails for one dollar.
In conclusion, The week with the highest percentage of sales is week three as
17/51>>8/25>>32%
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1. Prove ~ (Pvq) <=> (~P^~9).
Algebra of propositional variables
2. P^ q = q^q
P v q = q v p
show that both are commutative
Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
How to explain the commutative property.It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property
From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.
In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.
Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
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WILL GIVE BRAINLIES +100 POINTS
Answer:
C or B
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Safeco growth rate for the future is 8% recent dividends 1.76
What is the value of the stock when the required return is 10%
The value of the stock at 10 percent is given as 88 dollars
How to solve for the value of the stock
The value of a stock can be estimated using the Gordon Growth Model, which takes into account the company's future growth rate, recent dividends, and the required return of the investor. The formula for the Gordon Growth Model is:
Stock Price = Dividend / (Required Return - Growth Rate)
Plugging in the given values, we have:
Stock Price = 1.76 / (0.10 - 0.08)
Stock Price = 1.76 / 0.02
Stock Price = 88
Therefore, the estimated value of the Safeco stock is $88 when the required return is 10%. This estimate assumes that the company's future growth rate and dividends will remain constant at 8% and 1.76, respectively.
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Find the derivative of log e^((1+tan x)) w.r.t x
1.Which expression means “4 less than the product of 6 and 5”?
6 + 5 - 4
4 - 6 × 5
6 × 5 - 4
6 - 5 × 4
2. Which expression means “the sum of 5 and 9 less than 17”?
17 - (5 + 9)
17 - (9 - 5)
(17 - 5) + 9
17 + (9 - 5)
Answer:
1) 6*5-4
2) 17 - (5+9)
Step-by-step explanation:
Answer:
1.Which expression means “4 less than the product of 6 and 5”?
answer:
6 × 5 - 4
2. Which expression means “the sum of 5 and 9 less than 17”?
answer;
17 - (5 + 9)
additive inverse
multiplicative inverse
0.8
Do you mean 0.8 = 8/10 = 80%? Ohhh... then it's 1.25!
Hope this helps!
Answer:
1.25
Step-by-step explanation:
1/0.8 = 1.25
If its not right im sorryyy
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
Shawn has to walk 1 mile to get home. He decides to take a break after walking
5/8 of a mile.
How much farther does he have to walk to get home? You can use the number line below to help you.
He has to walk 3/8 of a mile farther to get home.
To solve the problem, we need to find how much farther Shawn has to walk after taking a break.
If Shawn has already walked 5/8 of a mile, then he still has 3/8 of a mile left to walk to get home.
We can represent this on a number line, where 0 represents the starting point and 1 represents the endpoint (home):
0------------5/8------------1
From this number line, we can see that Shawn has walked 5/8 of the distance and still has 3/8 of the distance left to walk to get home.
Therefore, he has to walk 3/8 of a mile farther to get home.
What is number line?
A number line is a visual representation of the real numbers, where numbers are placed at equal intervals on a straight line. The number line is usually drawn horizontally, with zero in the center and positive numbers to the right of zero and negative numbers to the left of zero.
The distance between two consecutive integers on the number line is usually equal, making it easy to represent and compare numbers. Decimals, fractions, and irrational numbers can also be represented on the number line by placing them at appropriate locations between the integers.
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Point C has a coordinate of (-4, -6) and point D has a coordinate of (1, -6), how far are they apart?
The distance between points C and D is given as follows:
5 units.
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The coordinates for this problem are given as follows:
(-4, -6) and (1, -6).
Hence the distance is given as follows:
\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)
D = 5 units.
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Evaluate the numerical expression 44.
Answer:
44 or 4 double sqaure i don't understand
Find the value of x.
A. 25 degrees
B. 20 degrees
C. 100 degrees
D. 16 degrees
Answer:
i think its a. 25
Step-by-step explanation:
because i used one of those angle measuring thingies, but the pic was too small to be sure.
Jensen has a basket containing oranges apples and pears he picks a piece of fruit from the basket 40 times, replacing the food before each draw from these 40 trials Jensen estimates that the probability of picking an orange is 0.25 the probability of picking an apple is 0.3 and the probability of picking a pair is 0.45 how many times did Jensen pick an apple doing the £.40 trials
Answer:
\( \huge\fbox\purple{12}\ \)
\( \small\mathfrak\pink{s} \small\mathfrak\purple{o} \small\mathfrak\blue{l} \small\mathfrak\red{u}\small\mathfrak\green{t} \small\mathfrak\orange{i}\small\mathfrak\blue{o} \small\mathfrak\red{n(⌐■-■)/━☆゚.*・。゚} \)
In this question, we're trying to find how many apples Jenson picked from the basket.
Lets gather information that can help us.
Important information:
• Picked a fruit from a basket 40 times Probability of picking an apple is 0.3
With the information above, we can solve the question.
We know that he picked up a fruit 40 times, but we need to find how many apples he picked up during the 40 times.
The probability of picking an apple is 0.3, which is equivalent to 30%
This means that 30% of the 40 times he picked an apple.
We would multiply 40 by 0.3 to get our answer.
40* 0.3 =12This means that Jenson picked 12 apples.
________☁️☁️
Hope it helps
~✨ƒöᏝϗʆѻʁᶥąռ¹₃
Find unit rate $602 for 20 hours of work
I need help pleaseee
Answer:
7
Step-by-step explanation:
refer to solution in picture
Please do not convert the fractions to decimals!
1. Add the following fractions using a number line: 1/2+1/6.
2. Add the following fractions using a number line: 2/3+5/1
3. Subtract the following fractions using a number line: 1/2-
4. Subtract the following fractions using a number line: 3/2-5
(1) The addition of 1/2 + 1/6 is 2/3.
(2) The addition of 2/3 + 5/12 is 1 1/12.
(3) The subtraction of 1/6 from 1/2 is 1/3.
(4) The subtraction of 5/6 from 3/2 is 2/3
What is the addition of the fractions using number line?To add 1/2 + 1/6 using a number line, we need to find the point that represents 1/2 and then move 1/6 units to the right.
Here's how to do it:
Draw a number line with 0 in the middle and positive numbers to the right.Mark the point that represents 1/2 on the number line.Divide the space between 0 and 1/2 into 6 equal parts.Mark the point that represents 1/6 to the right of 1/2.The point you end up with represents the sum of 1/2 and 1/6, which is 2/3.To add 2/3 + 5/12 using a number line, we need to find the point that represents 2/3 and then move 5/12 units to the right.
Here's how to do it:
Draw a number line with 0 in the middle and positive numbers to the right.Mark the point that represents 2/3 on the number line.Divide the space between 0 and 2/3 into 12 equal parts.Mark the point that represents 5/12 to the right of 2/3.The point you end up with represents the sum of 2/3 and 5/12, which is 13/12 = 1 1/12.To subtract 1/2 - 1/6 using a number line, we need to find the point that represents 1/2 and then move 1/6 units to the left.
Here's how to do it:
Draw a number line with 0 in the middle and positive numbers to the right.Mark the point that represents 1/2 on the number line.Divide the space between 0 and 1/2 into 6 equal parts.Mark the point that represents 1/6 to the left of 1/2.The point you end up with represents the difference between 1/2 and 1/6, which is 1/3.To subtract 3/2 - 5/6 using a number line, we need to find the point that represents 3/2 and then move 5/6 units to the left. Here's how to do it:
Draw a number line with 0 in the middle and positive numbers to the right.Mark the point that represents 3/2 on the number line.Divide the space between 0 and 3/2 into 6 equal parts.Mark the point that represents 5/6 to the left of 3/2.The point you end up with represents the difference between 3/2 and 5/6, which is 2/3.Learn more about number line here: https://brainly.com/question/25230781
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? Question
Refer to section 1.3.2, Credit scores, beginning on page 22 of the report.
Arrange the five tiers of credit scores in order, starting with the lowest tier of credit scores.
The five credit score tiers are listed in ascending order, starting with the lowest tier:
Deep Subprime < Subprime < near prime < prime < superprime
The ability of a consumer to get credit may be significantly influenced by their credit score. These interactive graphs demonstrate how lending behavior has changed for different credit score profiles of borrowers.
We concentrate on the following five commercially available credit score levels:
Subprime's credit scores is between 580 to 619.
Prime's credit score level is between 660 to 719.
The credit score level of deep subprime is below 580.
The credit score level of near prime is 620 - 659.
The credit score level of superprime is 720 or above.
Therefore, the five tires of credit scores from lowest to highest are:
Deep Subprime < Subprime < near prime < prime < superprime
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(1 point) Find f'(1) if 6x (f(x))^4 +9x^3 f(x) = 78 and f(1) = -2
Answer:
42
Step-by-step explanation:
\(6x (f(x))^{4}+9 x^{3} f(x)=78\\6x (f(1))^{4}+9 x^{3} f(1)=78\\6x(-2)^{4}+9 x^{3} (-2)=78\\f(x) = 6x(16)-18 x^{3}=78\\f'(x)=96-54x\\for x=1: f'(1)=96-54(1)=42\)
30x^2 + 7x - 15
Plese tell the answer
Answer:
Factors are: (5x - 3) and (6x + 5),Roots are: x = 3/5 and x = - 5/6.------------------------------------
It is assumed you need to find the factors or roots of the quadratic trinomial.
30x² + 7x - 15Factorize it as follows:
30x² + 7x - 15 = 30x² + 25x - 18x - 15 = 5x(6x + 5) - 3(6x + 5) = (5x - 3)(6x + 5)The roots are:
5x - 3 = 0 ⇒ 5x = 3 ⇒ x = 3/56x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - 5/6In which
situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf
The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.
What is expression?Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.
The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.
In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.
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Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?
PLEASE HELP MEEE, I'M FALLING IN MY CLASS
The average rate of change of the function graphed is -4.
What is average rate of change?
The average rate at which one item is changing in relation to another is known as the average rate of change.
The function y = f(x) is graphed.
We have to find the average rate of change of the function on the interval
2 ≤ x ≤ 4.
The average rate of change is defined as,
Average rate of change = \(\frac{f(b)-f(a)}{b-a} = \frac{f(4)-f(2)}{4-2}\)
From graph,
f(4) = -4, f(2) = 4
So,
Average rate of change = \(\frac{-4-4}{4-2} = \frac{-8}{2} = -4\).
Therefore, for the given graphed function, the average rate of change is, -4.
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