Answer:
9
Step-by-step explanation:
the given expression can be re-written:
[tex]\frac{\sqrt{2} -1}{(\sqrt{2}-1)(\sqrt{2}+1)} +\frac{\sqrt{3} -\sqrt{2}}{(\sqrt{3} +\sqrt{2})(\sqrt{3} -\sqrt{2})} + ...+\frac{\sqrt{100} -\sqrt{99}}{(\sqrt{100} -\sqrt{99})(\sqrt{100} +\sqrt{99})};[/tex]
then
[tex]\sqrt{2} -1+\sqrt{3} -\sqrt{2} +\sqrt{4} -\sqrt{3}+\sqrt{5} -\sqrt{4}+...+\sqrt{100}-\sqrt{99}= -1+\sqrt{100}=9.[/tex]
Freddy bought 3 bags of pebbles to put in his fish tank. Each bag contains 295 pebbles. After he put the right amount of pebbles in his fish tank, he had 104 pebbles left over. How many pebbles did he put in his fish tank?
295 x 3 = 885
885-104 = 781
781 pebbles
Help me!
A 180
B 115
C 65
Answer:
ik this
Step-by-step explanation:
i believe its 180
Answer: B) 115
Step-by-step explanation: i hop this help if not sorry :(
A contractor bought 12.6 ft? of sheet metal. He has used 2.1 ft? so far and has $210 worth of sheet metal remaining. The equation 12.6x-2.1x = 210 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:
$20
Step-by-step explanation:
12.6x-2.1x=210
10.5x=210
x=210/10.5
x=20
What is the common difference in the sequence?
The common difference is the amount between each number in an arithmetic sequence.
For example, the sequence 4,7,10,13,... has a common difference of 3.
5(+25)=875
lets see who will get it right
Answer:
X = 150
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Answer:
X=150
Step-by-step explanation:
helpppppppp plzzzzzzzzzzzzzzzzz (ANSWER ONLY IF YOU KNOW)
Answer:
1/7 ( a+1 )
Step-by-step explanation:
1/7a + 1/7
1/7 ( a+1 )
Factorize; x cubed - x squared y ?
ASAP, please
Answer:
x²(x - y)
Step-by-step explanation:
x³ - x²y ( x² is common to both terms so factor it out )
= x²(x - y)
Kent has already saved $150 and he plans to save $20 every week. Proportional or Non-proportional
Answer:
this problem is Non-proportional
Step-by-step explanation:
hope this helps
You are buying bottles of a sports drink mix for a softball team. Each bottle costs $1.19. What function rule models the total cost of a purchase? Evaluate the function for 15 bottles
Answer: f(x) = 1.19x, where f(x) is the total cost, and x is the cost per bottle
Cost of 15 bottles: $17.85
Step-by-step explanation:
This question describes a straightforward relation between cost per bottle, and cost for all the bottles. As such, simply equate one variable to the value of one bottle, and f(x) as the value of every bottle.
Hope it helps :) and let me know if you want me to elaborate.
P.S. f(x) can simply be substituted for "y"
Let
no of bottles be x
.The function is given by
[tex]\\ \sf\longmapsto f(x)=1.19x[/tex]
Now
Bottles=15Cost:-
[tex]\\ \sf\longmapsto f(15)[/tex]
[tex]\\ \sf\longmapsto 1.19(15)[/tex]
[tex]\\ \sf\longmapsto 17.89[/tex]
neeeeeeed heeeeeelp pleaseeeeeeeee
Answer:
D
Step-by-step explanation:
Hope this is correct and helps
Answer:
D
Step-by-step explanation:
I'm not completely sure but A is constant cuz it don't move B is increasing C is same as A and D Is decreased
A flock of birds perched on a tree. In the morning, each bird perched 1 tree and 1 bird left. In the afternoon, 2 chicks perched, 1 tree left over. Ask how many birds, how many trees?
Answer:
2 birds 1 tree
Step-by-step explanation:
I think only not sure
Rick bought 3 apples and 2 oranges for a cost of $1.55. Kim bought 4 apples and 3
3
oranges for a cost of $2.15. Find the cost of one apple.
pls help!!! i will give brainliest!!!!! :D
Answer:
31 cm
Step-by-step explanation:
the scatterplot is rising, so based on an assumption of where a line going through the scatterplot is going to go, you get 41
After a 25% discount the price of a T shirt was $12 what was the price before the discount?
Answer:The price before the discount is $ 16The population last year is 5280Solution:B) After a 25% discount, the price of a T-shirt was $12.
Step-by-step explanation:G
Answer:
$16
Step-by-step explanation:
25% is equal to 1/4.
1/4 of 16 is 4.
so if you subtract 4 from 16, it equals 12.
have a lovely day <3
Find the slope of the line that passes through (1, 2) and (10, 10).
You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you
want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents
the pre-tax price of a pair of pants that you can afford if you buy the drink? *
X + 0.04x + 1.50 > 60
X + 0.04x + 1.50 2 60
X + 0.04x + 1.50 60
X + 0.04x + 1.50 60
Answer:
X + 0.04x + 1.50 > 60
Step-by-step explanation:
A sunflower is 15 inches tall and grows 2 inches a week. How many weeks will it take for the
Sunflower to be 23 inches tall?
Need help making an equation!!
Answer:
4 weeks
Step-by-step explanation:
15 + 2x = 23
2x = 8
x = 4
can someone pls help me
Answer:10 & 12
Step-by-step explanation:
Answer:
The 5th step will need 32 blocks, and the 6th step will need 64 blocks.
Step-by-step explanation:
Each step requires the blocks to be doubled. The first step has two, 2x2 is 4. There are 4 blocks in the next step. 4x2 is 8. There are 8 blocks in the next step, and so on and so forth. Just multiply by 2. Hope this helped!
Two sides of an equilateral triangle are labeled 12 inches and 3x - 6 inches. Find x.
Answer:
6
Step-by-step explanation:
In equilateral triangle, all the sides are congruent.
3x - 6 = 12
Add 6 to both sides
3x = 12 + 6
3x = 18
Divide both sides by 3
x = 18/3
x = 6
Someone help me and answer these ASAP PLS
1. What are the three major responsibilities of the county commissioners?
2. What are the three major responsibilities of the county sheriff?
3. What is the fundamental purpose for county government?
Answer:
1. The powers include: budgeting and appropriation of funds for all county activities; building and maintaining county roads; making and enforcing civil and criminal resolutions and ordinances not in conflict with state law, including those for land use and building construction; supporting and implementing.
2. Serves as a licensed peace officer and is responsible for enforcing the criminal laws of the state. Manages and operates the county jail. Provides security for the courts.
3. County governments perform essential administrative functions such as registering voters, supervising elections, keeping records, providing police protection, and administrating health and welfare services.
Step-by-step explanation:
Help pls and show your work!
Find the area of this triangle.
Answer:
84 cm²
Step-by-step explanation:
Area triangle = 1/2(b x h)
Area = 1/2(21 x 8)
Area = 1/2(168)
Area = 84
84 cm²
-Chetan K
If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?
[tex]\large\underline{\sf{Solution-}}[/tex]
Given:
[tex] \rm \longmapsto x = a \sin \alpha \cos \beta [/tex]
[tex] \rm \longmapsto y = b \sin \alpha \sin \beta [/tex]
[tex] \rm \longmapsto z = c\cos \alpha[/tex]
Therefore:
[tex] \rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta [/tex]
[tex] \rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta [/tex]
[tex] \rm \longmapsto \dfrac{z}{c} = \cos \alpha[/tex]
Now:
[tex] \rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } [/tex]
[tex] \rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha [/tex]
[tex] \rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha [/tex]
[tex] \rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha [/tex]
[tex] \rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha [/tex]
[tex] \rm = 1[/tex]
Therefore:
[tex] \rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1[/tex]
find the sum of the first seven terms -3,3,-3,3.
Show your work.
If a line has a slope of 4 and a y-intercept of 3, what is the equation of that line in slope-intercept from???
Answer:
y=3x-4
Step-by-step explanation:
Determine the effective annual yield for $1 invested for 1 year at 3.7% compounded semiannually.
10%
Answer:
$0.035
Step-by-step explanation:
Describe the translation of the point to its image. (-2,-3) to (-2,4)
Up 8 Units, Hope this helps :)
I NEED HELP PLEASE!!!!
Answer:
the answer is x=15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
since angles 84 and 5x + 9 are alternate interior angles they both are equal
i.e
5x +9 = 84
5x = 84 -9
5x = 75
x = 75/5
therefore x = 15
keep smiling
(6d+5)−(2−3d) find the difference
Answer:
10d
Step-by-step explanation:
6d+5 =11d
2-3d = -1d
11d-1d= 10d
Use the remainder theorem to determine whether x=-4 is a solution of x^6+5x^5+5^4+5^3+2x^2-10x-8.
Hello haohaoxNienie!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
Refer to the attached picture.
Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
__________________
Hope it'll help you!
ℓu¢αzz ッ
