The true statements about the scenario are;
The function represents a geometric sequence. The first term in the sequence is 300.The standard form of a geometric sequence is expressed as:
[tex]Tn = ar^{n-1}[/tex]
a is the first term
r is the common ratio
n is the number of terms
Given the expression [tex]h(n)=300(\frac{3}{4} )^{n-1}[/tex]
Compare and contrast
a = 300
This shows that the first term of the sequence is 300.
Also, a function represents a geometric sequence
Hence the true statements about the scenario are;
The function represents a geometric sequence. The first term in the sequence is 300.Learn more here: https://brainly.com/question/9300199
Please help lol for brainly
The formula C = f1 relates the speed (C), frequency (f), and the wave (d) of light.
Choose from the drop down lists to complete the sentence:
Answer:
Step-by-step explanation:
Reflect the image over the y-axis and then translate 8 units down. What are the coordinates for C’?
Answer:
(-7, -7)
Step-by-step explanation:
1. Let's ONLY focus on point C.
2. The algebraic rule for reflecting across the y-axis is (x, y) -> (-x, y).
Since point C is on the coordinate (7,1), when reflecting it across the y-axis, it's going to turn into (-7,1).3. The algebraic rule for translating 8 units down is (x, y) -> (x, y - 8).
Since C is on (-7,1), when we translate it 8 units down, we'll get C' as (-7, -7)Therefore, the coordinates for C' are (-7, -7).
Alyssa makes $14 baby sitting on Monday, $15.50 baby sitting on Tuesday, spends $24.35 at the
mall on Wednesday, and earns another $10.25 on Thursday.
25. Will Alyssa be able to go to the movies with her friends if tickets are $9.75?
26. Does Alyssa have enough to buy snacks if she wants popcorn for $3 and soda for $2.50?
27. What is Alyssa's mean daily profit or loss, not including the trip to the movies?
Answer:
25.)Yesss
26.)Yesss she have enough money to buy a popcorn and soda
27.)?
Step-by-step explanation:
#Hopeee it Helpssss
follow me pls.
If cosec ∅ = √2, find the value of 1+sin²∅+cos²∅/1+sec²∅-tan²∅.
Given: [tex]cosec[/tex] [tex]A[/tex] [tex]=\sqrt{2}[/tex]
∴ [tex]A=\frac{\pi }{4} =45^{0}[/tex]
[tex]sin[/tex] [tex]A[/tex] [tex]=sin[/tex] [tex]45^{0}[/tex] = [tex]\frac{1}\sqrt{2}[/tex]
[tex]cot[/tex] [tex]A[/tex] [tex]=cot[/tex] [tex]45^{0}[/tex] [tex]=1,[/tex]
[tex]tan[/tex] [tex]A[/tex] [tex]=[/tex] [tex]tan[/tex] [tex]45^{0}[/tex] [tex]=1[/tex]
[tex]cos[/tex] [tex]A[/tex] [tex]=[/tex] [tex]cot[/tex] [tex]45^{0}[/tex] [tex]=\frac{1}{\sqrt{2} }[/tex]
∴ [tex]=2[/tex]
[tex]\large\underline{\sf{Solution-}}[/tex]
METHOD 1: Using Trigonometric values.
We have given that,
[tex]\sf\cosec\theta=\sqrt2[/tex]
So,
[tex]\sf\theta=45^{\circ}[/tex]
We need to find:
[tex]\sf\dfrac{1+\sin^2\theta+\cos^2\theta}{1+\sec^2\theta-\tan^2\theta}[/tex]
So,
[tex]\sf\longmapsto\dfrac{1+\sin^2(45^{\circ})+\cos^2(45^{\circ})}{1+\sec^2(45^{\circ})-\tan^2(45^{\circ})}[/tex]
[tex]\sf\longmapsto\dfrac{1+\left(\frac{1}{\sqrt2}\right)^2+\left(\frac{1}{\sqrt2}\right)^2}{1+(\sqrt2)^2-(1)^2}[/tex]
[tex]\sf\longmapsto\dfrac{1+\frac{1}{2}+\frac{1}{2}}{1+2-1}[/tex]
[tex]\sf\longmapsto\dfrac{1+1}{2}[/tex]
[tex]\sf\longmapsto\dfrac{2}{2}[/tex]
[tex]\sf\longmapsto\bf1[/tex]
METHOD 2: Using Trigonometric Identities
We need to find:
[tex]\implies\dfrac{1+\sin^2\theta+\cos^2\theta}{1+\sec^2\theta-\tan^2\theta}[/tex]
But, we know that,
[tex]\sf\red⇛ \sin^2\phi+\cos^2\phi=1[/tex]
And,
[tex]\sf\red⇛ \sec^2\phi-\tan^2\phi=1[/tex]
So,
[tex]\sf\longmapsto\dfrac{1+(\sin^2\theta+\cos^2\theta)}{1+(\sec^2\theta-\tan^2\theta)}[/tex]
[tex]\sf\longmapsto\dfrac{1+1}{1+1}[/tex]
[tex]\sf\longmapsto\dfrac{2}{2}[/tex]
[tex]\sf\longmapsto\bf1[/tex]
Therefore, by both methods the answer is 1.
Learn more:
Similar questions
Prove that:
\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1...
https://brainly.com/question/25207676
What is 300251 take away 21596 what round it to the highest place value then subtract
we need to subtract
[tex]\\ \sf\longmapsto 300251-21596[/tex]
[tex]\\ \sf\longmapsto 278655[/tex]
Now let's round up
[tex]\\ \sf\longmapsto 278700[/tex]
[tex]\\ \sf\longmapsto 279000[/tex]
[tex]\\ \sf\longmapsto 280000[/tex]
[tex]\\ \bf\longmapsto 300000[/tex]
Consider U = { 5,10, 15, 20, 25, 30, 35, 40} , A = { 20, 30, 40 } . Find A’
Answer:
A {5, 10, 15, 20}
Step-by-step explanation:
10. If a + b = 10, what is the value of 2(a + b) + + + (a + b)2 – 4
11. The cost of a hamburger and a soft drink together is $2.23. The cost of 2 hamburgers and
3 soft drink together is $5.26 What is the cost of a soft drink? What is the cost of a burger?
Answer:
answer for 10th question is 121
Step-by-step explanation:
2(a+b)+a+b/2+(a+b)^2-4
=2(10)+10/2+(10)^2-4
=20+5+100-4
=125-4
=121
Answer:
10. 121 11. Hamburger = $1.43
Step-by-step explanation:
2(a + b) + (a + b)/2 + (a + b)² - 4
2(10) + (10)/2 + (10)² - 4
20 + 5 + 100 - 4
25 + 100 - 4
125 - 4 = 121
11. Let H = Hamburger and Soft Drink = D
H + D = $2.23
2 H + 3D = $5.26
H + D = $2.23 Solve for D
D = $2.23 - H
2H + 3D = $5.26 Now substitute the value of H into the second equation.
2H + 3($ 2.23 - H) = $5.26
2H + $6.69 - 3H = $5.26
-H + $6.69 = $5.26
-H = - $1.43
H = $1.43
Which of the following statement is false
A. │-8│= 8
B. │-20│ < │25│
C. │-7│< 7
D. negative of │9│ = -9
Answer:
A is right answer
Step-by-step explanation:
because - - = +
please help me with this
Answer:
The circumference is the distance around a circle. In other words, it's the perimeter of the circle. And we find the circumference by using the formula C = 2πr.
Step-by-step explanation:
PLEASE HELP
what is the inverse of tge function
Answer:
its the lastone
Step-by-step explanation:
.Triangle ABC is right angled at B, AB= 8 cm, BC = 15 cm, find AC
Answer:
17
Step-by-step explanation:
If the chick grows at a rate of 4.8 grams/day and weighs 53.8 grams on day 4, how much did the chick weigh (in grams) the day it hatched?
Answer:
Step-by-step explanation:
y = 4.8x + C
53.8 = 4.8(4) + C
53.8 = 19.2 + C
C = 34.6
70 minutes for 24 songs
=
[blank] minutes for 12 songs
Answer:
35
Step-by-step explanation:
70 minutes for 24 songs
70/2 minutes for 24/2 songs
35 minutes for 12 songs.
Answer:
35 minutes for 12 songs
Step-by-step explanation:
hope this helps
4(3 × 2) + (8 - 3)^2 - 6^2 + 3 × 9 - 2^3 + 1
Show your work
[Thank you]
Answer:
33
Step-by-step explanation:
if its in () its the 1th step and then the rest u can continue
Write 3/6/7 in an improper fraction in the lowest term
Answer:
27/7
the mixed number 3 6/7 can be written as 27/7.
The value of an improper fraction in the lowest term is,
⇒ 27/7
We have to give that,
A mixed fraction is,
⇒ 3 6/7
Now, We can change the fraction into an improper fraction as,
⇒ 3 6/7
⇒ (3×7 + 6)/7
⇒ (21 + 6)/7
⇒ 27/7
Therefore, an improper fraction in the lowest term is,
⇒ 27/7
To learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
Hugo wants to make a sandwich using wrap or baguette cheese or turkey mayonnaise or ketchup , list all the possible types of sandwiches he Hugo could make
Answer:
What subject is this
Step-by-step explanation:
Suzy is 2997972000 seconds old. How many years old is she?
Answer:
95.06506849315
Step-by-step explanation:
Basically 95 years old which is very old Pls brainliest Thx! :D
Answer:
lets see according to my cackulations.... suzie would be, 6.....she would be six feet under the ground. dead. deceaced.gone.
Step-by-step explanation:
Mr. Evans prepared 5 rows for 6 tomato plants in each
row and 5 rows for 2 pepper plants in each row. How
nany plants did he prepare for altogether?
Answer:
he prepared for 18 plants altogether
Can someone help solve?
Please help me thank you
Answer:
C. The product of 12 and √17
Step-by-step explanation:
Because it gives a number that isn't a repeating or terminating decimal.
please help will give brainliest
and please do not scam
Answer:
Answer: 8PM and 8AM
Step-by-step explanation:
2 |x-2| -12 = 0
2 |x-2| = 12
|x-2| = 6
x-2 = 6
x= 8
12 noon + 8 Hrs
= 8PM
x-2 = -6
x = -4
12 noon - 4 hrs
= 8AM
Simplify the expression:
5h + 5h - 3 + 7
Answer: 10h+ 4
Step-by-
Use technology to find the line of best fit for the following data.
Answer:
what following data
Step-by-step explanation:
Write the missing exponent that makes the equation true: 4^t times 2^t = 2^what
4^t × 2^t = 2^what [convert all terms to the same base (2)]
∴ 2^t × 2^t × 2^t = 2^what [use the multiplicat law of exponents]
2^(t+t+t) = 2^what [simplify]
2^3t = 2^what
what = 3t
I need help plisss giving brainliest
Answer:
1) [tex]y=\frac{3}{2}x+8[/tex]
2)[tex]y=\frac{13}{11}x +\frac{12}{11}[/tex]
3)[tex]y=\frac{9}{7}x+1[/tex]
4)[tex]y=\frac{1}{3}x-2[/tex]
5)[tex]y=-\frac{6}{5}x-3[/tex]
6)[tex]y=4x-1[/tex]
7)[tex]y=\frac{11}{4}x-8[/tex]
8)[tex]y=\frac{11}{8}x+6[/tex]
Answer:
[tex]\sf 1) 3x-2y=-16[/tex]
subtract both sides by 3x:
[tex]\sf -2y=-16-3x[/tex]
[tex]\sf \cfrac{-2y}{-2} =\cfrac{3x-16}{-2}[/tex]
[tex]\boxed {\sf y=\frac{3}{2}x +8}[/tex]
________________
[tex]\sf 2) 13x-11y=-12[/tex]
Subtract 13x from both sides:
[tex]\sf 13x+11y-13x=-12-13x[/tex]
[tex]\sf \cfrac{-11y}{-11} =\cfrac{-12-13x}{-11-11}[/tex]
[tex]\boxed {\sf y=\cfrac{13}{11} \:x+\cfrac{12}{11} }[/tex]
___________________
[tex]\sf 3) 9x-7y=-7[/tex]
Subtract 9x from both sides:
[tex]\sf \cfrac{-7y}{-7} =\cfrac{9x-7}{-7}[/tex]
[tex]\boxed {\sf y=\cfrac{9}{7} \:x+1}[/tex]
___________________
[tex]\sf 4)x-3y=6[/tex]
Add 3y from both sides:
[tex]\sf x-3y+3y=6+3y[/tex]
[tex]\sf x=6+3y[/tex]
Subtract 6 from both sides:
[tex]\sf x-6=3y[/tex]
Divide both sides by 3:
[tex]\sf \cfrac{x}{3}-\cfrac{6}{3} =\cfrac{3y}{3}[/tex]
[tex]\sf \cfrac{1}{3} \:x-2=y[/tex]
[tex]\boxed {\sf y=\cfrac{1}{3} \:x-2}[/tex]
____________________
[tex]\sf 5) 6x+5y=-15[/tex]
Subtract 6x from both sides:
[tex]\sf \cfrac{5y}{5}=\cfrac{-6x-15}{5}[/tex]
[tex]\boxed {\sf y=-\cfrac{6}{5} \:x-3 }[/tex]
_____________________
[tex]\sf 6) 4x-y=1[/tex]
Subtract 4x from both sides:
[tex]\sf \cfrac{-y}{-1} =\cfrac{-4x+1}{-1}[/tex]
[tex]\boxed {\sf y=4x-1}[/tex]
_______________________
[tex]\sf 7)11x-4y=32[/tex]
Subtract 11x from both sides:
[tex]\sf \cfrac{-4y}{4} =\cfrac{-11x+32}{-4}[/tex]
[tex]\boxed {\sf y=\frac{11}{4} \:x-8}[/tex]
_______________________
[tex]\sf 8) 11x-8y=-48[/tex]
Subtract 11x from both sides:
[tex]\sf \cfrac{-8y}{-8} =\cfrac{11-48}{-8}[/tex]
[tex]\boxed {\sf y=\frac{11}{8} \:x+6}[/tex]
________________________________
Can someone pls help it’s due in two hours
Darren is training for a triathlon. Each week, he goes to the gym for a maximum of 20 hours. He spends at least 8 of those hours weightlifting (x). He wants to spend no more than 15 hours doing cardio exercises (y). Write a system of linear inequalities that represents the restrictions of this scenario.
Answer:
y ≤ 20-8x
Step-by-step explanation:
Darren needs to spend no more than 15 hours on cardio exercise (y). To figure out how much time he has we need to do 20-8x. Any leftover hours are the hours left for him to spend doing his exercises. Since y has to be less than or equal to 20-8x, the system of linear inequalities should be:
y ≤ 20-8x
Find −11+(−13) . pleasssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
-24
Step-by-step explanation:
Answer:-24
Step-by-step explanation:if its the same sign u just add and keep the sign.
PLEASE HELP ME AND FAST! ANSWER WITH EXPLANATION PLS, ANSWER RIGHT PLS PLS PLS!
Last year, Deandre had $10,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 10% simple interest per year. After one year, he received a total of $790 in interest. How much did he invest in each account?
First Account: $?
Second Account: $?
1/3x7 ...............
Answer:
7
Step-by-step explanation: