[tex]\begin{array}{cll} term&\stackrel{u_n+u_{n-1}+1}{value}\\ \cline{1-2} u_1&1\\ u_2&3\\ u_3&\stackrel{u_n}{3}+\stackrel{u_{n-1}}{1}+1\\ &5\\ u_4&\stackrel{u_n}{5}+\stackrel{u_{n-1}}{3}+1\\ &9\\ u_5&\stackrel{u_n}{9}+\stackrel{u_{n-1}}{5}+1\\ &15 \end{array}[/tex]
in recursive sequence notation, is another way of saying
"the next term will be the current one plus the one before it, plus one"
what number is in the hundred thousand place in 243,561
Answer:
2, because 100,000 is said one hundred thousand which means 1 is in the hundred thousand place, and the same applies to this number meaning 2 is in that place.
Step-by-step explanation:
Answer:
2 is in the hundred-thousands place.
Ann started walking to her grandparents' house at 9:38 A.M. It took her 41 minutes to get there. Then, she played in the backyard for 1 hour and 56 minutes.
When did Ann finish playing in the backyard?
The time Ann finished playing in the backyard is 12 : 15 pm
How to find the time Ann finish playing in the backyardTime Ann started walking to her grandparents' house = 9:38 A.MTime taken to get there = 41 minutesTime taken to play in the backyard = 1 hour and 56 minutesTotal time = 9:38 + 41 minutes + 1 hour 56 minutes
= 10:19 + 1 hour 56 minutes
= 12 : 15 pm
Therefore, the time Ann finished playing in the backyard is 12 : 15 pm
Learn more about time:
https://brainly.com/question/4931057
There can be 72 students in
each grade at Miller School. The
fifth grade has 3 teachers. Mrs.
Shaw's class has 21 students.
Mr. Brown's class has 23
students. Mrs. Ralley's class has
23 students. How many more
students can enroll in fifth grade?
Answer:
5 more students caw n enroll in 5th grade
Step-by-step explanation:
21 +23 + 23 = 67
72- 67 = 5
please use an equation step by step and please show the numbers do not use words
Answer:
Sorry but u need another photo i can't see
Solve all 4 Questions . 50 Points + Brainelist
i)
length of rectangle : x + 5ii)
breadth of rectangle : x - 3iii)
area of rectangle = length * breadth105 = (x + 5)(x - 3)105 = x² + 2x - 15 x² + 2x - 15 - 105 = 0 x² + 2x - 15 - 105 = 0 x² + 2x - 120 = 0iv)
x² + 2x - 120 = 0x² + 12x -10x - 120 = 0x( x + 12) -10 (x +12) = 0(x-10)(x+12)x = 10, -12With x = -12, Not applicable so x will be 10
Length → x + 5 → 10 + 5 → 15
Breath → x -3 → 10 - 3 → 7
Therefore,
Length : 15 cm
Breadth : 7 cm
Answer:
Given:
The length of the rectangular shaped lamina is 5 cm more than the length of the square shaped lamina.The breadth of the rectangular shaped lamina is 3 cm less than the length of the square shaped lamina.x = side length of squarei) Length of rectangular shaped lamina = (x + 5) cm
ii) Breadth of rectangular shaped lamina = (x - 3) cm
ii) Area of a rectangle = length × breadth
⇒ area of rectangular shaped lamina = (x + 5)(x - 3) cm²
Given:
area of rectangular shaped lamina = 105 cm²⇒ (x + 5)(x - 3) = 105
Expand:
⇒ x² - 3x + 5x - 15 = 105
Combine like terms:
⇒ x² + 2x - 15 = 105
Subtract 105 from both sides:
⇒ x² + 2x - 120 = 0
iv) Solve x² + 2x - 120 = 0
Rewrite:
⇒ x² + 12x - 10x - 120 = 0
Break into groups:
⇒ (x² + 12x) - (10x + 120) = 0
Factorize the parentheses:
⇒ x(x + 12) - 10(x + 12) = 0
Factor out common term:
⇒ (x - 10)(x + 12) = 0
Therefore,
x - 10 = 0 ⇒ x = 10
x + 12 = 0 ⇒ x = -12
As length is positive, x = 10 only
Therefore,
Length of rectangular shaped lamina = 15 cm
Breadth of rectangular shaped lamina = 7 cm
Solve the equation 4y² = 7y
Write the inequality this number line represents.
Answer:
x > 10
Step-by-step explanation:
the dot isn't filled, meaning x can't equal 10. it goes up, meaning x is greater than 10 :) hope this helps
For numbers 11-13, refer to the figure below.
Answer:
c, a, a, c, a
Step-by-step explanation:
let me know if you want me to explain everyone, but I think you're more looking for the answer, so here they are(with short explanations)
11.c, 100. Vertical angles are congruent.
12.a, 70. Supplementary=180*. We know that B=110(from drawing). 110+70=180
13.a, 70. We know that a is 70 from question 12. vertical angles are congruent, so c=70
14.c, 90. from the attached image, we see that 12 and 3 makes 90* angle.
15.a, AY. Both have the letters AY in their names.
let me know if im correct!
The Diamond Rule says two factors, m and n, must multiply to get to the top number and add to get to the bottom number.
What are the possible values for m and n?
By solving a system of equations, we will see that the values of n and m are 3 and -4.
How to get the values of n and m?
We need to get two values n and m such that:
n*m = -12
n + m = -1
So this is a system of equations, to solve it, we first need to isolate one of the variables in one of the equations. I will isolate n on the second equation:
n = -1 - m
Then, replacing that on the other equation we get:
(-1 - m)*m = -12
-m - m^2 = -12
-m^2 - m + 12 = 0
This is a quadratic equation, the solutions are given by Bhaskara's formula:
[tex]m = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-1)*12} }{2*-1} \\\\m = \frac{1 \pm 7}{-2}[/tex]
Now, let's take the first solution for m:
m = (1 + 7)/-2 = -4
Then the value of n is the other solution, (or we can use the equation for n that we found above):
n = -1 - m = --1 - (-4) = 3
Then the two numbers are 3 and -4, meaning that the correct option is the first one.
If you want to learn more about systems of equations, you can read:
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Solve the equation by using the quadratic formula.
3x² - 1 =5x
Answer:
There!!
Step-by-step explanation:
mark me brainliest!!
On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.
A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles X, Y, and Z on the map?
In your answer, give the measures of angles X, Y, and Z, and explain how you calculated each one.
Answer:
x=105, y=75 and z=105.....this is a map of parallellines and a transversal. ....angles x and 75 are supplementary angles x=180-75 ×=105...angles y and 75 are corresponding angles so, y=75..angles x and z are alternate exterior angles z=x
AD ??????? so confused what the
Answer:
3.6 cm
Step-by-step explanation:
Triangle Proportionality Theorem
BD : DE = BA : AC
⇒ 6 : 10 = BA : 16
⇒ [tex]\mathsf{\dfrac{6}{10} = \dfrac{BA}{16}}[/tex]
⇒ [tex]\mathsf{BA=\dfrac{6}{10} \times16}[/tex]
⇒ BA = 9.6
AD = BA - BD
⇒ AD = 9.6 - 6 = 3.6 cm
what is 15% of 900? please help
also see comments
Answer:
135
Step-by-step explanation:
Multiply .15 by 900
0.15 x 900 = 135
Hope this helps :)
Answer:
135
Step-by-step explanation:
To find 15% of a number, we can find 10% first then 5%
10% of 900 is 90 (900 ÷ 10 = 90)5% of 900 is 45 (half of 10% of 90)Therefore, 15% of 900 is 135We can also turn 15% into a decimal by dividing 15 by 100: 15 ÷ 100 = 0.15 Now, we can treat 'of' as × and do 0.15 × 900 which is 135.
Hope this helps!
£245 increased by 25%?
Answer:
306.25
Step-by-step explanation:
What you need to do is multiply 245 by .25 (the decimal form of 25%). Then you should get 61.25, which is what the increase would be. Then, using the product, add 245 with 61.25 and you'll get the answer.
(Hope this helps)
Answer:
61.25 Euro
Step-by-step explanation:
Hopefully this is right. I'm American so I had to do a little converting with the currency. How you solve it is you multiply 245 by 25 and then divide by 100. Whenever percentage is involved think of the butterfly method.
[tex]x/250=25/100[/tex]
In this problem X is what you're trying to solve for; what the number will be AFTER the increase. The denominator will always be the original amount/price. Then on the other side you put the percentage over 100, since percentages go from 0% to 100%, kinda like quarters.
Three pounds of apples costs $1.09. How much will 11 pounds of apples cost? Round to the nearest cent.
Answer:
Step-by-step explanation:
Comment
This is a proportion question. That means that the ratios given are equal. There are 4 facts all together. 3 are given, you have to solve for the 4th. The procedure is the same every time.
Equation (proportion)
cost of apples 1.09/ Number of apples (3) = cost of nearly a dozen (x)/Number = 11.
1.09/3 = x / 11 Cross Multiply
3x = 1.09 * 11 Combine the right
3x = 11.99 Divide by 3
3x/3 = 11.99/3
x = 3.99
Answer
4.00 per pound
Simplify (-7x+5)-(2x^2-8x+6) in standard form
Answer: -2x² - 15x + 11
Step-by-step explanation:
Determine if true:
3x9=12+13
Answer:
False
Step-by-step explanation:
3x9=27
3x9=2712+13=25
3x9=2712+13=2527=25
3x9=2712+13=2527=25These 2 numbers don't match.
Hence, the equation is false.
Place the numbers 0 to 8, inclusive, in the magic square so that the sum of the numbers in each row, column, and diagonal is the same number, 12.
Answer: See attached table
Step-by-step explanation:
[tex]\begin{table}[]\begin{tabular}{lllll} & & & & \\ & & & & \\ & & & & \\ & & & & \end{tabular}\end{table}[/tex]+---+---+---+
| 1 | 8 | 2 |
+---+---+---+
| 6 | 4 | 2 |
+---+---+---+
| 5 | 0 | 7 |
+---+---+---+
Proofs:
First row: 1+6+5 = 12
Second row: 8+4+0 = 12
Third row: 2+2+7 = 12
First column: 1+8+2 = 12
Second column: 6+4+2 = 12
Third column: 5+0+7 = 12
Diagonal starting from top left to bottom right: 1+4+7 = 12
Diagonal staring from top right to bottom left: 2+4+5 = 12
HELPvppvy o o p pyvph
Answer:
the answer is
[tex]24 \sqrt{2} [/tex]
Michelle's salad uses 1ż tomatoes and
serves 3 people. Caley's salad uses
2 tomatoes and serves 5 people. Whose
salad has more tomato per person?
Answer:
if Michelle's salad use 1tomato and servers 3 people which mean if she use 2 tomatoes she will server 6 people
Step-by-step explanation:
and caley's salad uses 2 tomatoes and servers 5 people
michelle's tomatoes serves more
A student orders food from the menu shown below he orders 1 hotdog 1 popcorn 3 bags of chips and one soda how much money did he spend
(1 hotdog : 1.75)
( 1 popcorn : 1.25)
(3 bags of chips : 0.75)
(One soda : 1.50)
Answer:
1.75 + 1.25 + 1.50 + .75(3) = $6.75 total
Step-by-step explanation:
Make sure to multiply .75 x 3 because there are 3 bags of chips. That gives you $2.25 in chips to add to the hotdog, popcorn, and soda total.
Solve 20% of blank = 40
Answer: 200
Step-by-step explanation:
Let the unknown number be x.
Therefore, 20%*x = 40
20% as a fraction is 1/5.
Therefore x*(1/5) = 40
Multiply both sides by 5:
x = 200
HELPP 10points PLEASE
Answer:
x = 7
y = 2
--
x = 7
y = −x + 9
- Consider the second equation. Insert the known values of variables into the equation.
y = −7 + 9
Add −7 and 9 to get 2.
y = 2
The system is now solved.
x = 7
y = 2 ( 7,2 )
HELP ASAP
Two angles are supplementary. The measure of the larger angle is 28 more than 3 times the measure of the smaller angle.
Find the measures of both angles.
ATQ
[tex]\\ \rm\longmapsto 3x+28+x=180[/tex]
[tex]\\ \rm\longmapsto 4x+28=180[/tex]
[tex]\\ \rm\longmapsto 4x=152[/tex]
[tex]\\ \rm\longmapsto x\approx 38[/tex]
3x+28=180-38=142Let's assume that ,
x is the smaller angle
3x+28 is the larger angle
then,
ATQ,
x + 3x+28 = 180°
4x +28 = 180°
4x = 180°-28°
4x = 152°
x = 38°
putting the value of x in the larger angle
⇢3x +28 = 3 x 38° +28° = 142°
hence , the measure of the smaller angle is 38° & the larger one = 142°
What’s the answer to this
write the equation of th eline that is parallel to x=8 and that passes through the point (-3,-2)
I Really need Help IF you know how to do this please help!
11. Write a formula for the area of the shaded region in terms of x.
2
2
x + 5
okay so basically we see two rectangles right, so we can subtract the small from the big to leave the shaded region behind: so we take the area of the big rectangle first, (x+5)*4 and then we subtract the small area which is 2*2 so that we get an equation like this: (x+5)*4 - 4 --> 4x+20-4 --> 4x+16
When measuring distance 43 peas are approximately equal to 19 beans. How many peas are equal to 133 beans?
Answer:
301
Step-by-step explanation:
Assuming the proportion holds over longer distances, the ratios can be written ...
peas/beans = p/133 = 43/19
p = 133(43/19) = 301
301 peas are equal to 133 beans.
500 apples are taken at random from a large basket and 50 are found to be bad. Estimate the proportion of bad apples and assign limits within which the percentage most probabilities lies
Answer:
Step-by-step explanation:
probability = 50/500= 1/10
which means that there is probability of 1 Apple will be bad from 10 apples.
The n-4, n, n+3 are consecutive terms of geometry progression. find two possible values of the common ratio.