The number of blocks in a two-dimensional pyramid is a sequence that follows a recursive formula. What is a recursive definition for the sequence?
Answer:
A recursive sequence is a sequence in which terms are defined using one or more previous terms which are given. If you know the nth term of an arithmetic sequence and you know the common difference , d , you can find the (n+1)th term using the recursive formula an+1=an+d .
Please help me out I've been struggling for 3 days now.
A contractor estimates he will need 18 sheets of drywall and 65 square feet of tile to remodel a bathroom. He actually uses 14 sheets of drywall and 42 square feet of tile. To the nearest percent, what is the difference in the percent errors of the estimates? Show your work.
The rectangular floor of a classroom is 38 feet in length and 30 feet in width. A scale drawing of the floor has a length of 19 inches. What is the perimeter, in inches, of the floor in the scale drawing?
68
The scale drawing is dividing everything by 2. So, the length is 19, and the width is 15. Then, you add 19 and 15 twice. So, the answer is 68.
Make a number line and mark the points that represent the following values of x. X ≤ 1 2/3 and x <- 3/4
Answer:
can't you do Russian math homework on your own
Step-by-step explanation:
What is the area of a rectangle with width =7 inches and diagonal =25 inches
Answer:
The area of any rectangular place is or surface is its length multiplied by its width. For example, a garden shaped as a rectangle with a length of 10 yards and width of 3 yards has an area of 10 x 3 = 30 square yards. A rectangular bedroom with one wall being 15 feet long and the other being 12 feet long is simply 12 x 15 = 180 square feet.
Step-by-step explanation:
PLS HELP!! NO LINKS!! WILL MARK YOU BRAINLIEST!!
Answer:
(d) -11
Step-by-step explanation:
The sum of the acute angles of a right triangle is 90°. (That makes the sum of all angles be 180°, as it is for any triangle.)
65° +(36 +x)° = 90°
x = 90 -101 . . . . . . . . divide by °, subtract 101
x = -11
A rectangular swimming pool with length b and width h is surrounded by a walkway that is 3 feet wide. Which equation below could be used to find the area of the walkway?
The equation that can be used to find the area of the walkway is A = 3h+3b+9.
What is a rectangle?A rectangle is a plane shape that has pair of opposite sides equal and parallel.
To find the equation that could be used to find the area of the walkway, we use the formula below.
Formula
Area of the walkway(A) = Area of the swimming pool and the walk- area of the swimming poolA = [(h+3)(b+3)]-(hb)A = hb+3h+3b+9-hbA = 3h+3b+9.Hence, The equation that can be used to find the area of the walkway is A = 3h+3b+9
Learn more about rectangles here: https://brainly.com/question/17297081
What is 2. 4% written as a decimal?0. 240. 240. 242. 4
Answer: 0.024
Step-by-step explanation:
percents are out of 100 so 2.4% divided by 100 = the decimal. 2.4/100 = 0.024
Alexa is ordering a taxi from an online taxi service. The taxi charges $4 just for the pickup and then an additional $1.25 per mile driven. How much would a taxi ride cost if Alexa is riding for 9 miles? How much would a taxi ride cost that is mm miles long? what is the eaquation for m miles
Answer:
Alex's ride is $15.25
The equation to find this is
1.25m + 4 = cost
m = miles traveled
HURRY!! WILL GIVE BRAINLIEST
Answer: C
Step-by-step explanation:
Please this is URGENT!!!!!! need it in the next 5 mins!!!!!!!
Please be my life saver and help me out!
Angelica uses a coordinate plane to make a map of her neighborhood. The point at (4, 3) represents the location of her house, and the point at (10, 8) to represent the location of the gas station. She wants to drive to the gas station using the straight line shown below. Use what you know about right triangles to find out how far she will drive. Each unit on the graph represents 1 mile.
In this answer, give the length of the straight line shown on the graph, and explain how you calculated it.
Answer:
distance: 7.81 miles
Explanation:
simply use distance formula: [tex]\sf \sqrt{(y_2 -y_1)^2 + (x_2-x_1)^2}[/tex]
coordinates: (4, 3), (10, 8)using the equation:
[tex]\hookrightarrow \sf \sqrt{(8-3)^2+(10-4)^2}[/tex]
[tex]\hookrightarrow \sf \sqrt{(5)^2+(6)^2}[/tex]
[tex]\hookrightarrow \sf \sqrt{25+36}[/tex]
[tex]\hookrightarrow \sf \sqrt{61}[/tex]
[tex]\hookrightarrow \sf 7.81 \ miles[/tex]
what is -11/40-0.278 in decimal form
Answer:
-0.553
Step-by-step explanation:
-11/40 = -0.275
-0.275-0.278 = -0.553
what is the answer to this question I could really do with some help
-------------------------------
A 15 ft long cable is connected from a hook to the top of a pole that has an unknown height. The distance from the hook to the base of the pole is 3 ft shorter than the height of the pole.
a. What can you use to find the height of the pole?
b. Write and solve a quadratic equation to find the height of the pole.
c. How far is the hook from the base of the pole?
Answer:
a) Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
b) Given:
a = (x - 3)b = xc = 15Substituting these values into the equation and rearranging:
⇒ (x - 3)² + x² = 15²
⇒ x² - 6x + 9 + x² = 225
⇒ 2x² - 6x - 216 = 0
c) Solve 2x² - 6x - 216 = 0 by factorizing:
2x² - 6x - 216 = 0
⇒ x² - 3x - 108 = 0
⇒ x² - 12x + 9x - 108 = 0
⇒ x(x - 12) + 9(x - 12) = 0
⇒ (x - 12)(x + 9) = 0
⇒ x - 12 = 0 ⇒ x = 12
⇒ x + 9 = 0 ⇒ x = -9
As distance is positive, x = 12 only.
Therefore, the height of the pole is 12 ft.
So the distance from the hook to the base = 12 - 3 = 9 ft
We need x
Apply Pythagorean theorem
[tex]\\ \rm\Rrightarrow 15^2-x^2=(x-3)^2[/tex]
[tex]\\ \rm\Rrightarrow 225-x^2=x^2-6x+9[/tex]
[tex]\\ \rm\Rrightarrow 2x^2-6x-216=0[/tex]
[tex]\\ \rm\Rrightarrow x^2-3x-108=0[/tex]
[tex]\\ \rm\Rrightarrow (x+9)(x-12)=0[/tex]
[tex]\\ \rm\Rrightarrow x=-9,12[/tex]
Distance must be positive so x=12The sides of a triangular plot are in the ratio 3 : 5 : 7 and its perimeter is 300 m. find its area
Given :
The sides of a triangular plot are in the ratio 3 : 5 : 7 .Its perimeter is 300 m.⠀
To Find :
Its area.⠀
Solution :
Let us assume the sides in metres be 3x, 5x and 7x .⠀
Then, We know,
[tex] \qquad \sf \dashrightarrow \: 3x + 5x + 7x = 300 \: \: \: \: \: \: \: Perimeter_{(Triangle)}[/tex]
[tex]\qquad \sf \dashrightarrow \: 15x = 300 [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \dfrac{300}{15} [/tex]
[tex]\qquad \bf\dashrightarrow \: x = 20 [/tex]
⠀
So, The sides of the triangle are :
[tex]\qquad \sf \dashrightarrow \: 3 \times 20 \: m = \bf60 \: m [/tex]
[tex]\qquad \sf \dashrightarrow \: 5 \times 20 \: m = \bf 100 \: m [/tex]
[tex]\qquad \sf \dashrightarrow \: 7 \times 20 \: m = \bf140 \: m [/tex]
⠀
Now, Using Heron's formula :
We have,
[tex]\qquad \sf \dashrightarrow \: s = ( {60 + 100 + 140}) \: m = 300 \: m [/tex]
[tex]\qquad \sf \dashrightarrow \: s = \dfrac {60 + 100 + 140}2 \: m = 150 \: m [/tex]
⠀
And the Area will be :
[tex]\qquad \sf \dashrightarrow \: \sqrt{150(150 - 60)(150 - 100)(150 - 140)} \: {m}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{150 \times 90 \times 50 \times 10} \: \: {m}^{2} [/tex]
[tex] \qquad \sf \dashrightarrow \: 1500 \sqrt{3} \: {m}^{2} [/tex]
Answer:
2598m²
Step-by-step explanation:
Figure :
[tex]\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){$\bf A$}\put(0.5,-0.3){$\bf C$}\put(5.2,-0.3){$\bf B$}\put(5,1){$\bf 3x $}\put(2.5, - .5){$\bf 7x $}\put(.5,1){$\bf 5x $}\put(4.5,4){$\bf not \: to \: scale \: $}\end{picture} [/tex]
Here we are given that the ratio of sides of a triangular plot is 3:5:7 and its perimeter is 300m . We are interested in finding the area of the rectangle . Firstly , let us take the given ratio's HCF be x , then we may write the ratio as ,
[tex]\longrightarrow 3x : 5x : 7x [/tex]
According to the question ,
[tex]\longrightarrow 3x + 5x + 7x = 300m \\ [/tex]
[tex]\longrightarrow 15x = 300m\\ [/tex]
[tex]\longrightarrow x =\dfrac{300m}{15}\\ [/tex]
[tex]\longrightarrow x = 20m [/tex]
Therefore , the sides will be ,
[tex]\longrightarrow 3x = 3(20m) = \red{60m}\\ [/tex]
[tex]\longrightarrow 5x =5(20m)= \red{100m}\\ [/tex]
[tex]\longrightarrow 7x =7(20m)=\red{140m}[/tex]
Now we may use Heron's Formula to find out the area of triangle as ,
Heron's Formula :-
If three sides of a ∆ is a , b , c then the area is given by [tex]\sqrt{ s(s-a)(s-b)(s-c)}[/tex] , where s is the semi perimeter .Here ,
[tex]\longrightarrow s =\dfrac{300m}{2}=150m [/tex]
Therefore ,
[tex]\longrightarrow Area =\sqrt{ 150(150-60)(150-100)(150-140)}m^2\\ [/tex]
[tex]\longrightarrow Area =\sqrt{ 150 \times 90 \times 50 \times 10}m^2\\ [/tex]
[tex]\longrightarrow Area = \sqrt{ 50^2 \times 30^2\times 3}m^2\\[/tex]
[tex]\longrightarrow Area = 50\times 30 \times 1.732 m^2\\[/tex]
[tex]\longrightarrow\underline{\underline{ Area = 2598m^2}} [/tex]
And we are done !
Samantha gathered the following information on a given day at the dog park.
• There are 3232 dogs playing at the dog park.
• 1515 of the dogs are puppies.
• 1111 of the dogs are not puppies and have long hair.
• There are 66 more dogs that have long hair than dogs that do not have long hair.
Fill in the table completely to represent Samantha's data.
The number of dogs that are not puppies is 17, the number of adult dogs without long hair is 6, the number of puppy dogs with long hair is 8 and the number of puppy dogs without long hair is 7.
What is the information missing?To complete the chart it is necessary to determine:
Number of dogs that are not puppies.Number of puppies with and without long hairNumber of adult dogs without long hairNumber of dogs that are not puppies:
32 (total dogs) - 15 (puppies) = 17 dogsAdult dogs without long hair:
17 (total adult dogs) - 11 (adult dogs with long hair) = 6 dogsPuppy dogs with and without long hair
Total of puppy dogs = 15, this number can be obtained by adding 9+6 or 7+8. From these combinations, the only one that meets the rule "There are 6 more dogs that have long hair than dogs that do not have long hair" is 8 puppies with long hair and 7 puppies without long hair.
Note: This question is not written correctly; here is the correct and complete question.
Samantha gathered the following information on a given day at the dog park.
There are 32 dogs playing at the dog park.
15 of the dogs are puppies.
11 of the dogs are not puppies and have long hair.
There are 6 more dogs that have long hair than dogs that do not have long hair.
Fill in the table completely to represent Samantha’s data.
Learn more about dogs in: https://brainly.com/question/8565422
Chioe stops for lunch in a town that
has no meal tax. She has $20 and tips
15%. Select all the prices of meals she
could buy.
(A) $18.50
(B) $16.25
(C) $15.75
(D) $17.45
(E) $15.95
Answer:
B, C, E
Step-by-step explanation:
Tips = $20 × 15%
$20 × [tex]\frac{15}{100}[/tex]
$3
Total = $20
Without tips = $17
Things that can buy for $17 are B, C, E
1, 6, 13, 22, 33, 46, 61 what comes next???????
Answer:
76
its going by 15's so you add 15
>> Question
1, 6, 13, 22, 33, 46, 61 what comes next??
>> Answer :
1, 6, 13, 22, 33, 46, 61, 78, 97, 118, 141, 166
= +5 , +7, +9 , +11, +13, +15, +17, +19, +21, +23, +25
Step-by-step explanation:
I Hope This Helps
Use a protractor to measure the following angles and classify each angle as obtuse, right, acute, straight, or reflex.
Answer:
PMQ=Acute, QMB=Acute, BMR=Acute, BMR=Acute, AMR=obtuse, PMA=acute.
AMB=straight???????
What type of solid is shown?
Answer:
x^2-x^2=BC4
oh yeaa u know im right
y = 0.89x + 1.14, predict the size of a 4-week old plant.
Answer:
4.5 inches at 4 weeks
Step-by-step explanation:
See attached image for explanation.
Which value for x will result in the greatest relative frequency given discrete random variable X, when X∼B(4,110)? x=5 x=1 x=0 x=3
The greatest relative frequency is the relative frequency that gives the highest probability
The greatest relative frequency given discrete random variable X, when X∼B(4,110) is x=3
How to determine the greatest relative frequencyFor a discrete random variable, the smaller the value of the variable, the higher its relative frequency.
This means that:
A variable x = 0 would have a greater relative frequency than a variable x = n, where n > 0
This means that, the greatest relative frequency given discrete random variable X, when X∼B(4,110) is x=3
Read more about relative frequency at:
https://brainly.com/question/3857836
Can someone please give me the (Answers) to this? ... please ...
I need help….
Problem 5
Answer: 300 square inches------------------
Work Shown:
a = 15
b = unknown
c = 25
a^2 + b^2 = c^2
15^2 + b^2 = 25^2
225 + b^2 = 625
b^2 = 625 - 225
b^2 = 400
b = sqrt(400)
b = 20
The rectangle is a = 15 by b = 20 to get an area of ab = 15*20 = 300 square inches.
=======================================================
Problem 6
Answer:
Part A) The area = 48 square inchesPart B) The area = 16*sqrt(2) square inches------------------
Work Shown:
Part A)
area = base*height/2
area = 8*12/2
area = 96/2
area = 48
Part B)
a^2 + b^2 = c^2
8^2 + b^2 = 12^2
64 + b^2 = 144
b^2 = 144 - 64
b^2 = 80
b = sqrt(80)
b = sqrt(16*5)
b = sqrt(16)*sqrt(5)
b = 4*sqrt(5)
Therefore,
area = base*height/2
area = a*b/2
area = 8*4*sqrt(5)/2
area = 16*sqrt(2)
=======================================================
Problem 7
Answer: 36 cm------------------
Work Shown:
area = 81
area = x^2
x^2 = 81
x = sqrt(81)
x = 9
The side lengths of the square are 9 cm each.
P = perimeter
P = 4x
P = 4*9
P = 36
=======================================================
Problem 8
Answer: 12.5*sqrt(15)------------------
Work Shown:
The horizontal base of 10 is cut in half to get 5.
a = 5 = horizontal side
b = unknown height
c = 20 = hypotenuse
a^2 + b^2 = c^2
5^2 + b^2 = 20^2
25 + b^2 = 400
b^2 = 400 - 25
b^2 = 375
b = sqrt(375)
b = sqrt(25*15)
b = sqrt(25)*sqrt(15)
b = 5*sqrt(15)
area = base*height/2
area = a*b/2
area = 5*5*sqrt(15)/2
area = 12.5*sqrt(15)
Helena has taken out a $9,300 unsubsidized stafford loan to pay for her college education. she plans to graduate in four years. the loan has a duration of ten years and an interest rate of 6.4%, compounded monthly. by the time helena graduates, how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization? round all dollar values to the nearest cent. a. $238.46 b. $496.00 c. $595.20 d. $324.33
Answer:
$324.33
Step-by-step explanation:
the answer is $324.33
The amount of interest capitalized is greater than the minimum amount that she could pay to prevent interest capitalization by; D: $324.33
What is the minimum Principal?We will use the formula: A = P(1 + r/n)^(nt)
Where:
A = final amount
P = initial principal ($9300)
r = interest rate (6.4% or 0.064)
n = number of times interest applied per time period
t = number of time period elapsed.
Thus;
9300(1 + 0.064/12)^(12*4) - 9300 = $2705.13
Also;
9300(0.064/12) * 4 * 12 = $2380.8
Answer = $2705.13 - $2380.8
Answer = $324.33
Read more about Principal amount at; https://brainly.com/question/25545513
Express the area of the following figure as a monomial.
It's a rectangle
Length=x^5Breadth=x^2Area:-
Length×Breadthx^5(x^2)x^5+2x^7125 people work at a hotel, 12% work in the kitchen. How many
people work in the kitchen?
Step-by-step explanation:
12% of 125
or is ×
12% × 125
12% as a decimal
do you know what 12% is as a decimal comment below
Answer:
15
Step-by-step explanation:
12% of 125 is 15
Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. check all that apply. f(x) = x2 6x 8 g(x) = x2 4x 8 h(x) = x2 – 12x 32 k(x) = x2 4x – 1 p(x) = 5x2 5x 4 t(x) = x2 – 2x – 15
Function f(x), h(x), k(x) and t(x) will have real roots while function g(x) and p(x) will have imaginary roots.
Given quadratic functions are:
[tex]1) f(x)= x^{2} +6x+8\\2)g(x) = x^{2} +4x+8\\3)h(x) = x^{2} -12x+32\\4)k(x)=x^{2} +4x-1\\5)p(x)=5x^{2} +5x+4\\6)t(x) = x^{2} -2x-15[/tex]
What is the general form of a quadratic equation?The general form of a quadratic equation is:
[tex]ax^{2} +bx+c=0[/tex]
On comparing [tex]x^{2} +6x+8 =0[/tex] with the general form,
a=1, b=6, c=8
If discriminant D=b²-4ac is greater than zero, the quadratic equation will have two distinct real roots, if D is less than zero, roots will be imaginary.
So, discriminant D for f(x)=0 will be:
[tex]b^{2} -4ac[/tex] = [tex]6^{2} -4*1*8 = 4[/tex] i.e. greater than zero.
So, the quadratic function [tex]f(x) = x^{2} +6x+8[/tex] will have two real distinct
roots.
Similarly, h(x), k(x), and t(x) will have real roots since their discriminants are greater than zero.
Thus, Function f(x), h(x), k(x) and t(x) will have real roots while function g(x) and p(x) will have imaginary roots.
To get more about quadratic equation visit:
https://brainly.com/question/25841119
Please help and give an explanation. I have a test on this soon.
Answer:
(a) = 26.4 or (132/5); 0
(b) = 26.4 or (132/5); -220
(c) = 0; -220
(d) = 0
Step-by-step explanation:
-5k²- 22k + 15
(a)
-5( -3/5 )² - 22( -3/5 ) + 15
-1.8 + 13.2 + 15 = 26.4 or
(-9/5) + (66/5) + 15 = (132/5)
I don't know if you do decimal points or fractions so I did both.
-5( -5 )² - 22( -5 ) + 15
-125 + 110 + 15 = 0
(b) -5 ( -3/5 )²- 22( -3/5 ) + 15
-1.8 + 13.2 + 15 = 26.4 or
(-9/5) + (66/5) + 15 = (132/5)
-5 ( 5 )²- 22( 5 ) + 15
-125 - 110 + 15 = -220
(c)
-5 ( 3/5 )²- 22( 3/5 ) + 15
-1.8 - 13.2 + 15 = 0 or
(-9/5) - (66/5) + 15 = 0
-5 ( 5 )²- 22( 5 ) + 15
-125 - 110 + 15 = -220
(d)
-5 ( 3/5 )²- 22( 3/5 ) + 15
-1.8 - 13.2 + 15 = 0 or
(-9/5) - (66/5) + 15 = 0
-5( -5 )² - 22( -5 ) + 15
-125 + 110 + 15 = 0
I hope this helps!
In the data set (0,-1);(-2,4);(-4,-8);(-1,5);(2,1);(-1,2)},which point is a possible outlier?
que dijiste buenas noches
Please solve this equation
Answer:
∠2 = 41°
Step-by-step explanation:
This is because, all three interior angles in a triangle will have a sum of 180 degrees.
So given that we have two angles, 90 degrees(right angle) and 49 degrees, we can replace angle 2 as our unknown value(a variable) and make it equal to 180 degrees then solve for x;
49 + 90 + x = 180
139 + x = 180
-139 -139
x = 41°, ∠2 = 41°