Write an recursive formula for an, the nth term of the sequence 7, 10, 13,
Answer:
What's the nth term for 7,10,13,16? The nth term = 3n + 4. The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d. Therefore in your sequence, the difference d = 3, and the first term a(1) = 7.
Step-by-step explanation:
What is X=? // which choice is correct ? (Ignore my guessing choice mark)
Given:
A figure of a right angle triangle.
To find:
The length of the shorter leg.
Solution:
In a right angle triangle,
[tex]\tan\theta =\dfrac{Opposite}{Adjacent}[/tex]
In the given triangle,
[tex]\tan (60^\circ) =\dfrac{18}{x}[/tex]
[tex]\sqrt{3}=\dfrac{18}{x}[/tex]
[tex]x=\dfrac{18}{\sqrt{3}}[/tex]
[tex]x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
On further simplification, we get
[tex]x=\dfrac{18\sqrt{3}}{3}[/tex]
[tex]x=6\sqrt{3}[/tex]
[tex]x=10.3923[/tex]
[tex]x\approx 10.4[/tex]
Therefore, the length of the shortest leg is 10.4 and the correct option is B.
Factor the following expression completely.
2x^2y-18y
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a2-b2=(a+b)(a−b) where a=x and b=3.2y(x+3)(x−3)
Step-by-step explanation:
hope this helps!!!
The heights of tomato plants are Normally distributed with Calculate the Z-score for a tomato plant that has a a mean of 3.56 feet and a standard deviation of 0.25 feet height of 4.07 feet. Use the z-lable to answer the question. The Z-score, rounded to 2 decimal places, for a tomato plant that has a height of 4.07 feet is About what percent of tomato plants have a height less than 4.07 feet? Round the percent to 2 decimal places, if necessary About % of tomato plants have a height less thah 4.07 feet
the answers are for the first 2.04% and the second tis 97.93% trust bb :>
Answer:
97.03
Step-by-step explanation:
it is the answer
if it is not then I am sorry
In Normal distribution(z) tomato plants have height less than 4.07 feet is 97.93 %.
What is normal distribution?Normal distribution is a "continuous probability distribution that its symmetrical around its mean with most values near the central peak".
According to the question,
The heights of tomato plants are Normally distributed.
Mean(μ) = 3.56
Standard deviation (σ) = 0.25
For a tomato plants that has a height of 4.07 feet
In order to find Percentage of tomato plants have a height less than 4.07 feet
Standard Normal Distribution Formula,
z = (x-μ)/σ where X~(μ,σ).
= [tex]\frac{4.07-3.56}{0.25}[/tex]
= [tex]\frac{0.51}{0.25}[/tex] = 2.04.
P ( x < 4.05) = P( z < 2.04 )
= 0.9793 ( Using standard Normal distribution table)
To find the percentage of tomato plants have height less than 4.07 feet is
multiply 0.9793 by 100
= 97.93%
Hence, Using Standard Normal distribution we find tomato plants have height less than 4.07 feet is 97.93 %
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y/-9=1/18 solve for y
Answer:
y=-1/2
Step-by-step explanation:
Three friends want to take a bus trip to the Grand Canyon. The entire trip costs $1,025 per person, plus $383 per person for the meal plan.
Answer:
4224 dollars
Step-by-step explanation:
1025 times 3 is 3075. 383 times 3 is 1149. 3075+1149 is 4224.
The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.
Step-by-step explanation:
let the ratio be x
now,
3x+5x+9x+13x=360°(sum of angle of quadrilateral is 360°)
30x=360°
x=360/30
x=12°
then,
3x=3×12=36°
5x=5×12=60°
9x=9×12=108°
13x=13×12=156°
so,the angles of quadrilateral are 36°,60°,108°& 156°
hope it helps.
What is this number in standard form?
(5×1,000)+(9×1)+(2×1/10)+(6×1/1,000)
Enter your answer in the box. please ! 10 points help me !
it has to be a decimal please thanx so much
Answer: y=5(x+15)2−26 5
What is the domain of all of these points?
(8, 2), (12,9), (16, 16), (20, 23)
Answer:
8, 12, 16, 20
Step-by-step explanation:
those are the domains
in a week 13 hens laid 78 eggs what is the unit rate for eggs per hen?
Answer:
6 eggs per hen
Step-by-step explanation:
78/13=6 eggs per hen
Find the slope and initial value of the graph below. Then write the equation of the line. Write the equation of the line.
Answer:
y= x + 2
Hope this helps.
4(5.8 - 9x) + 8.2 + 22x
Answer:
157 - 70x
—————————
5
Step-by-step explanation:
Answer:
31.4 - 14x
Step-by-step explanation:
4(5.8 - 9x) = 23.2 - 36x
23.2 - 36x + 8.2 + 22x
23.2 + 8.2 - 36x + 22x
only add/subtract LIKE terms
31.4 - 14x
Please help, and show steps :)
PLEASE HELP! ANSWER FOR 20 POINTS PLS PLS
Answer:
5³ = 125
Step-by-step explanation:
5³ = 5 × 5 × 5 = 25 × 5 = 125
Answer:
5³ = 15 because the ³ mean 3 left over 5's like if i had 2² the ² = 2 so 2²=4
5+5+5=15
Answer : 15
can you guys help me again lol-
Answer:
$93 per hour ?
125-405 = 280
280÷3= 93 per hour
A store pays $11 for a set of spoons and marks the price up by 30%. What is the amount of the markup?
Answer:
[tex]\$3.3[/tex]
Step-by-step explanation:
Given:
Amount paid by a store for a set of spoons = $11
Percentage increase in price = 30%
To find: amount of the mark up
Solution:
To find amount of the mark up, find 30% of (amount paid by a store for a set of spoons)
Amount of the mark up = [tex]\frac{30}{100} (11)=\$3.3[/tex]
PLEASE HELP I WILL GIVE BRAINALIST!!!!
AB contains points (4, 2) and (−1, −8). What is the equation of the line parallel to AB that contains point (0, 5)?
9514 1404 393
Answer:
y = 2x +5
Step-by-step explanation:
We can use the slope formula to find the slope of AB, which is the same as the slope of the parallel line. Then, we can use the point-slope equation for a line to find the desired equation.
m = (y2 -y1)/(x2 -x1)
m = (-8 -2)/(-1 -4) = -10/-5 = 2
__
y -y1 = m(x -x1) . . point-slope form of equation for a line
y -5 = 2(x -0) . . . . fill in m=2, (x1, y1) = (0, 5)
y = 2x +5 . . . . . . . rearrange to slope-intercept form
Me pueden ayudar porfis no entiendo
¿Cuantos triangulos tiene un eneagono?
Answer:
un eneagono tiene 9 triángulos
The length of a rectangle is three times its width.
If the width is represented by x, what is the
perimeter of the rectangle, in terms of x?
Answer:
perimeter:- 8x
Step-by-step explanation:
since,
length= 3(width)
length= 3x
and, perimeter= 2(l + b)
= 2(3x + x)
= 2(4x)
perimeter = 8x
The measures of the angles of a triangle are shown in the figure below.Solve for X.
Answer:
x=20
Step-by-step explanation:
76+44+3x=180
120+3x=180
-120 -120
3x=60
60/3=20
20(3)+120=180
Triangles add up to 180.
Hope this helps! :)
In 1995, there were 85 rabbits in Central Park. The population increased by 8.5% each year. How much rabbits were in Central Park in 2005
==============================================
Work Shown:
A = P*(1+r)^t
A = 85*(1+0.085)^10
A = 192.183592562981
A = 192
-----------
Notes:
P = 85 is the starting population.r = 0.085 is the decimal form of 8.5%, so we can say 8.5% = (8.5)/100 = 0.085t = 10 years have elapsed from 1995 to 2005.The formula shown above helps with exponential growth and decay problems.The rabbit population in Central Park in 2005 is 192 rabbits.
To find the rabbit population in Central Park in 2005, we need to calculate the growth from 1995 to 2005.
From 1995 to 2005, there is a total of 10 years.
Using the growth rate of 8.5% per year, we can calculate the population in 2005:
Population in 2005 = 85 rabbits(1 + 0.085)¹⁰
Calculating this expression:
Population in 2005 = 85 rabbits(1.085)¹⁰
= 85 rabbits × 2.2609
= 192 rabbits
Therefore, the estimated rabbit population in Central Park in 2005 is 192 rabbits.
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Type the correct answer in the box.
V12 V5
The value of V10 V6 is closest to the whole number
Answer:
the nearest whole number is one i took the test
Step-by-step explanation:
Jack made 9 identical bags using 5 yards of fabric. How much fabric did Jack use for each bag? Solve on paper and check your work on Zearn.
Answer: 5/9 yards
Step-by-step explanation:
From the question, we are informed that Jack made 9 identical bags using 5 yards of fabric.
To calculate the amount of fabric that Jack use for each bag, we have to divide 5 by 9. Thus will be:
= 5 / 9
Therefore, it means that Jack used 5/9 yards for each bag
The wrestling team wants to sell pies for a fundraiser. The cafeteria helped out by donating 2 pies. Each pie will be cut into 4 pieces. If the team wants to sell at least 32 pieces, how many pies must the wrestling team bake?
50 pts if they can pout how they solved it and the answer in an inequality form
Answer:
answer is
Step-by-step explanation:
2+4=6
and 6-32=26 answer
Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Multiply and simplify if possible.
√7x(√x−7√7)
Thank you lovely
Step-by-step explanation:
[tex] \sqrt{7x {}^{2} } - 7 \sqrt{49x} \\ \sqrt{7} x - 7 \times 7 \sqrt{x} \\ \sqrt{7} x - 49 \sqrt{x} [/tex]
Evaluate the expression.
Answer:
Step-by-step explanation:
Combine like terms
8+7y+2x+4y+4
11y+2x+12
How do I find x In these two problems?
Answer:
#1: 146 degrees #2: 111 degrees
Step-by-step explanation:
The angles of a heptagon (a shape with 7 sides) are supposed to add up to 900 degrees, so just add up all the sides that you know and subtract it from 900 and you will have x! Do the same thing with the second one, except is is a hexagon and all the angles should add up to 720 degrees. (Don't forget to add the right angle, which is 90 degrees) So add up all the sides you know and subtract from 720 to get x.
P.S. If correct, please give Brainliest?
Answer:
N = number of sides
The sum of the interior angles of a polygon is equal to (N x 180)-360.
The first problem has 7 sides so the interior angle total = 900 degrees.
Add up all the known interior angles:
96+105+161+123+155+114+x = 900
x = 900-754 = 146 degrees
The second problem has 6 sides so the interior angle total = 720 degrees.
Add up all the known interior angles:
127+40+202+90+150+x = 720
x = 720-609 = 111 degrees
-75x + 200 represents a bank account balance after x months. What is the initial amount in the
account? What is the rate of change?
Greg invested $6000 in a bond with a yearly interest of 4%. His total interest on his investment was $1200. What was the length of the investment
Answer:
5 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = 1200 / ( 6000 × 0.04 ) = 5
t = 5 years
The time required to
accumulate simple interest of $ 1,200.00
from a principal of $ 6,000.00
at an interest rate of 4% per year
is 5 years.
Can someone help me with this problem? 3[x(-6)]
Answer:
-18x
Step-by-step explanation:
First step: remove the parentheses.
So, you'll have -3x*6.
multiply the numbers (3 x 6 = 18)
and you'll get -18x.
hope this helps!
