Answer:
f(5) = 21
Step-by-step explanation:
Given:
[tex]f(0)=1[/tex]
[tex]f(n)=f(n-1)+n+1[/tex]
[tex]\implies f(1)=f(0)+1+1=1 + 1 + 1=3[/tex]
[tex]\implies f(2)=f(1)+2+1=3 + 2 + 1=6[/tex]
[tex]\implies f(3)=f(2)+3+1=6+3+1=10[/tex]
[tex]\implies f(4)=f(3)+4+1=10+4+1=15[/tex]
[tex]\implies f(5)=f(4)+5+1=15+5+1=21[/tex]
find the area of the circumference of a circle with diameter 7yd use the value 3.14 as pie
Given,
Diameter of the circle = 7 ydHave to take the value of π as 3.14[tex] \: [/tex]
To Find,
The area and the circumference of a circle.[tex] \: [/tex]
Solution :
As, the diameter is 7 yd, therefore the radius will be 3.5 ydFirst of all, we'll find the circumference of the circle :
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\[/tex]
Now, we'll substitute the required values in the formula :
[tex]\\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 3.14 \times 3.5}}} \: \: \\ \\[/tex]
[tex] { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 3.14 \times 7}}} \: \: \\ \\[/tex]
[tex] { \longrightarrow \qquad{ \sf{ \pmb{ \: Circumference_{(circle)} = 21.98}}}} \: \: \\ \\[/tex]
Therefore,
The circumference of the circle is 21.98 yd[tex] \: [/tex]
Now, we'll find the area of the circle :
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Area_{(circle)} = \pi r^2}}}}}} \: \: \bigstar \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times (3.5)}^{2} }}}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times 3.5 \times 3.5 }}}}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times 12 .25 }}}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{\pmb { \sf{ \: \: Area_{(circle)} = 38.465 }}}}}} \: \: \\ \\[/tex]
Therefore,
The area of the circle is 38.46 yd² approximatelyPLSS HELP!! FIRST ANSWER GETS BRAINLIEST!!!!
At a baseball game, the Rebelos orrdered 2 hot dogs and 3 cheese burgers and paid $20.00. The Caines ordered 2 hot dogs and 5 cheeseburgers and paid $29.00. What is the cost of one cheeseburger?
Answer:
$4.5
Step-by-step explanation:
Hot dogs=h
Cheese burgers=c
2h+3c=20
2h+5c=29
There are two ways to solve-
1. Elimination- multiply the bottom by -1.
2h+3c=20
-2h-5c=-29
-2c=-9
c=4.5
2. Just move 2h, and you get 2c=9, 4.5
דיי יוטורסם
$9000 is invested at 8% compounded quarterly. In how many years will the account have grown to $14,500?
Round your answer to the nearest tenth of a year
HELP!!! On 4 6 and 7
9 ft
5 ft
5
5 ft
12 ft
7 ft
14 ft please help with this Question please I need it for homework
Answer:
I assume this is area.
5×7=35
12×9= 108
add 35 and 108 = 143
if this isn't area send a comment and I'll give the answer if it's something different
x² + 5x + 6
Factor each polynomial.
Pls help
In the previous three lessons, you have learned a lot about factoring. In this lesson, we will put it all together. Reply to the discussion by summarizing one thing that you have learned about the connections between finding the GCF of numbers, the distributive property, multiplying polynomials, and factoring.
The GCF and distributive property is used in factoring two or more numbers.
What is GCF?The GCF (greatest common factor) is the greatest common divisor of two or more integers i.e. the largest positive integer that divides each of the integers.
The GCF and distributive property is used in factoring two or more numbers.
Find out more on GCF at: https://brainly.com/question/219464
What is the constant of proportionality when y=55 and x=1/4
Answer:
HEY BABE SO, THE ANSWER IS $19.99
Step-by-step explanation:
if you devide 67 and 78 you get 19.99!!!!11
In the figure shown below, cos 0 =
[tex]\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\ \\\\~~~~~~~=\dfrac{3}{\sqrt{3^2 +2^2}}~~~~~~~;[\text{Pythagorean theorem.}]\\\\\\~~~~~~~=\dfrac{3}{\sqrt{9+4}}\\\\\\~~~~~~~=\dfrac{3}{\sqrt{13}}[/tex]
help PLEASEE! Might post a lot of these sorry
(For some reason it keeps posting the same question multiples times)
Answer:
A = 189 sq units
Step-by-step explanation:
You can cut the shape up into pieces. See image. There are two rectangles and a triangle. Some sides are given:
rectangle: 16 × 8
sm rectangle: 3 × 4
Some sides you have to add to find (the height of the whole entire thing: 16+4+4)
Some lengths you have to subtract to find (height of the triangle: 24 - 10).
Area of a rectangle:
length × width OR
base × height
Area of a triangle:
1/2 • b • h
Add up all three areas. See image.
please help me with A, B, and C
Answer:
A. 120 ft
B. 119
C. 2100 ft
Step-by-step explanation:
A. (Slipt the shape into 2 parts so it will be simpler)
For the triangle : 1/2 (4x12)
And for the rectangle : 12x8
1/2 (4x12) = 24
12 x 8 = 96
24 + 96 = 120 ft
_________________________________
B. (this time we can split it into 3 parts)
Longer rectangle : 12x6
Short rectangle : 5x5
Triangle : 1/2 (4x11)
LR : 12x6 = 72
SR : 25
T : 1/2 44 = 22
72+25+22 = 119
______________________________________
C. (Like the first one, we can split it into 2 parts)
Rectangle : 50x30
Triangle : 1/2 40x30
R : 1500
T : 1/2 1200 = 600
1500 + 600 = 2100
Hope this helps :)
In the jeweler's workshop, the ruby would be clasped tightly into a settin
flanked by diamonds.
Based on word parts, what is the meaning of flanked in the sentence?
the side of the body on a person or animal
to be situated on each side of a possession
to guard or strengthen an item from the side
SHORT EXPLANATION
the right or left side of a large body of people
Answer:
To be situated on the sides of the Ruby (Surrounding the Ruby)
Step-by-step explanation:
Please help I will give brainliest!
Explain how you would find the perimeter of this triangle.
Answer:
Step-by-step explanation:
51+90=141.3
180-141.3=38.7
90+38.7+51.3
So 4 and a number equal 90 degrees.
51.3 degrees are the number of 4 and c^2
We can use the Pythagorean theorem to find out that a^2 is 16
16 and b^2 will equal c^2 or the missing angle for 51.3 degrees.
a=51.3
b=90 meaning it has a 38.7 more of an angle than the 4 on the bottom.
Meaning it will be 7.02
7.02+4=11.02
List one of the "modes" of the
test scores. (Mode means the
numbers that appear the most
often in a set.)
Test Scores: 100, 75, 40, 90,
80, 100, 92, 88, 80, 84, 81
Answer:
100 & 80
Step-by-step explanation:
100 appears twice...same with 80
Select all true statements about the following parallelogram
Answer:
it is B.
Step-by-step explanation:
dfghfgrhbfdhgbhgbf
What is the surface area? 34 in 30 in 34 in 32 in 36 in
Answer:
If I am correct to work out the surface area you need to do base times height so the calculation would be...
32(base) × 30(height)
which equals 960 square inches
Please do check with someone else the answer, as I am not that confident and new
PLEASE HELP I NEED TO GET DONE IN 10 MINUTES!!!
Marianna is painting a ramp for the school play in the shape of a right triangular prism. The ramp has dimensions as shown below. She will not paint the back or bottom surfaces of the ramp. What is the surface area of the ramp?
Answer:
3672 sq in
Step-by-step explanation:
The area painted would be 3672 sq in.
If you roll two dice, one red and one blue, what is the probability that the red die shows 5 and the product of the two dice is less than 20?
Type your answer into the box as a decimal. Round to the nearest thousandth.
qyestion/ graph above
Answer:
2010
Step-by-step explanation:
I do not think so
I really need help . It’s the second part of the eqaution that confuses me .
Answer:
The answer is 5^4
Step-by-step explanation:
You are given the expression 5^18 times 5^6 while all over (5^10)^2
First, let's simplify the numerator
Whenever you multiply exponents with the same base, which is 5 in this case, you have to add the exponents or powers
Keep the base the same and 18 and 6 together
So, 5¹⁸ ° 5⁶ = 5¹⁸⁺⁶ = 5²⁴
you have 5²⁴ in the numerator
now let's work on simplifying the denominator
Whenever you have number that has a power and is taken to another power, you multiply the powers
We call this the power of the power rule
So, (5¹⁰)² = 5¹⁰ˣ² = 5²⁰
Now the denominator is 5^20
We have 5^24/5^20
Now you just subtract the powers 24-20=4
And you get 5^4
Hope this helps
What is the value of x in this triangle?
38
53
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
Answer:
x = 45.79°
Step-by-step explanation:
You can use sin Θ to find the value of x.
Let us find it now.
Sin x = Opposite / Hypotenuse
Sin x = 38 / 53
Sin x = 0.7169
x = Sin ⁻¹ 0.7169
x = 45.79°
James buys 7 baseballs and 1 bat.
• Each baseball costs the same amount.
• The bat costs $42.00.
• The total cost is $66.50, before tax.
What is the cost of each baseball?
$3.50
$6.00
$9.50
$15.50
The cost of each baseball is $3.50, option A is correct.
Given that the Number of baseballs are 7.
Cost of the bat = $42.00
Total cost before tax = $66.50
The total cost of the baseballs can be calculated by multiplying the cost of each baseball by the number of baseballs:
Total cost of baseballs = 7 × x
The total cost of all items, including the baseballs and the bat, is the sum of the individual costs:
Total cost = Total cost of baseballs + Cost of the bat
$66.50 = 7x + $42.00
We need to solve this equation for x.
Subtracting $42.00 from both sides:
$66.50 - $42.00 = 7x
$24.50 = 7x
Dividing both sides by 7:
$24.50 / 7 = x
x = $3.50
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
The diameter of a circle is 18 ft. Find its area in terms of pi
Answer:
81π
Step-by-step explanation:
To find the area of a circle, the formula is πr^2
r=radius, and radius is half the diameter, so it is 9.
Plug the radius into the formula to get 81π
(9^2*π)
If this answer helped you, I would greatly appreciate the brainliest :D
Determine the type of quadrilateral given the following coordinates. Show and explain all steps to prove your answer.
A(2, 3) B(0,2) C(4,0) D(2,-1)
Answer: Trapezoid
Step-by-step explanation:
in the figure triangle XYZ is similar to triangle XTU if XT measures 12cm what is the length of TY
Answer:
20
Step-by-step explanation:
It is stated that the triangles in the figure are similar:
We can use the side lengths' proportions to find the length of TY
UT/ZY = XT/TY
(9.6)/16 = 12/TY cross multiply expressions:
192 = (9.6)TY divide both sides by 9.6
20 = TY
-
- What is the value of the expression 1\3x (5 + 7 x 4) - 10?
Answer:
-10x + 11/x
Step-by-step explanation:
I think you mean to simplify
1/3x(5+(7)(4))-10
= -30x + 33/3x
= -10x + 11/x
For the point p and q, find the distance d(p,q) and the coordinates of the midpoint m of the segment pq.
The midpoint of the coordinate pq is (-7.5, -5.5) while the distance between the two coordinate points is 5√2
How to calculate the distance between two points and midpoint?The midpoint of a line is the coordinate point that divides the coordinates into two equal parts.
The formula for calculating the midpoint is expressed as:
[tex]m(x,y)=(\frac{x_1+x_1}{2} ,\frac{y_1+y_2}{2} )[/tex]
Given the coordinate points p(-10, -8) and (-5, -3).
Calculate the midpoint of pq
[tex]m(x,y)=(\frac{-10-5}{2} ,\frac{-8-3}{2} )\\m(x,y)=(\frac{-15}{2} ,\frac{-11}{2} )\\m(x,y)=(-7.5,-5.5)[/tex]
Hence the midpoint of the coordinate pq is (-7.5, -5.5)
Determine the distance pq
pq = √(-3+8)²+(-5+10)²
pq = √(5)²+(5)²
pq = √50
pq = 5√2
Hence the distance between the point pq is 5√2
Learn more on midpoint and distance here: https://brainly.com/question/17498679
5. Look at the figure in the graph below. If a figure congruent to this one were drawn, which statement must be TRUE?
Answer:
C. by a facotor of 3
Step-by-step explanation:
The approximate value of the figure in the graph is [tex]\sqrt{3[/tex]
So if you were to draw a figure that is congruent to the one drawn it would be C. by a factor of 3.
3.
Laura multiplied 27,890 by a fraction with a numerator of 12. The product
was less than 27,890. Which of the following statements is true about the
denominator of Laura's fraction?
Answer:
I don't see any optional answers, but the denominator must be greater than 12.
Step-by-step explanation:
27,890*(12/X) < 27,890
Therefore (12/X) < 1
and X > 12
Calculate the sum of the interior angles of the following hint.
Answer:
A- 900 degrees
B- 1800 degrees
C- 540 degrees
The sum of the interior angles of a heptagon is 900 degrees. The interior angles of a dodecagon add up to 1800. The interior angles of a pentagon add up to 540.