Answer:
C
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 0 - 3 = - 3 , thus
a₄₃ = 3 + (42 × - 3) = 3 - 126 = - 123 → C
Answer:
C. -123.
Step-by-step explanation:
nth term = a1 + d(n - 1)
43rd term = 3 + -3(43-1)
= 3 - 126
= -123.
if p=q^r q=r^p and r=p^q prove that pqr=1
Step-by-step explanation:
Let:-
[tex]p = {q}^{r}[/tex]be eqn.1
[tex]q = {r}^{p} [/tex]be eqn.2
[tex]r = {p}^{q} [/tex]be eqn.3
Susbstituting the value of p from eqn.1 to eqn.3 ,
[tex]r = {( {q}^{r} )}^{q} \: = {q}^{qr} [/tex]
Substituting the value of q from eqn.2 to eqn.3 ,
[tex]r = ( { {r}^{p} )}^{qr} = ( {r})^{pqr} [/tex]
[tex] = > {r}^{1} = {r}^{pqr} [/tex]
As bases are same in both the sides of this eqn.
[tex] = > pqr = 1[/tex]
We can easily prove the statement that if [tex]p=q^{r}[/tex], [tex]q = r^{p}[/tex] and [tex]r=p^{q}[/tex] , then pqr=1.
What is exponent?We know that a number's exponent indicates how many times it should be multiplied.
How to solve it?Given that
[tex]p=q^{r}[/tex]
[tex]q = r^{p}[/tex]
Now, [tex]r=p^{q}[/tex]
i.e. [tex]r=(q^{r})^{q}[/tex]
i.e. [tex]r=(q^{qr})[/tex]
i.e. [tex]r=(r^{p})^{rq}[/tex]
i.e. [tex]r=(r^{pqr})[/tex]
i.e. [tex]\frac{r}{r^{pqr}} =1[/tex]
i.e. [tex]r^{1-pqr} =r^{0}[/tex] [Since [tex]a^{0} = 1[/tex], a is any number]
i.e. 1 - pqr = 0
i.e. pqr = 1
We proved our statement that if [tex]p=q^{r}[/tex], [tex]q = r^{p}[/tex] and [tex]r=p^{q}[/tex], then pqr=1.
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One of every four doctors recommended Tylenol. If there are 2250 doctors, approximately how many recommended the medicine ?
A.225
B.560
C.850
D.10,000
Can you do fractions on this calculator??
Answer:
Yes, Yes you can, but it is extremely difficult.
Step-by-step explanation
Instead of saying (for example ) [tex]\frac{1}{2}[/tex]
You say 1 divided by 2
Then you get 0.5.
Hope this helps! Tell me if you need more explaination :)
~PumpkinSpice1
Answer:
yes
Step-by-step explanation:
yes
Select three RATIOS that are equivalent to 5:2
The options are...
2:5
10:4
20:50
35:14
55:22 THANKS!
Answer:
10:4, 35:14, 55:22
Step-by-step explanation:
please help w part b! right picture this time
Answer:
View the image below
Step-by-step explanation:
Evaluate: LWH if L = 0.5, W = 0.2, and H= 0.1
Answer:
0.01
Step-by-step explanation:
Replace the numbers with the variables
0.5*0.2*0.1
0.01
The evaluation of the given LWH is 0.01.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given the Parameters as;
L = 0.5, W = 0.2, and H= 0.1
Now to find the volume we are asked to calculate the LWH
Now Replace the numbers with the variables
LWH = 0.5 x 0.2 x 0.1
LWH = 0.01
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By 2 2 1 S ut at , where S is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time. Which equation represents a in terms of the other variables?
Answer:
Step-by-step explanation:
Given the equation of motion;
S = ut + 1/2 at² where;
u is the initial velocity,
a is the acceleration, and;
t is the time.
We are to express a in terms of u, t and S
Making a the subject of the formula;
S = ut + 1/2 at²
S-ut = 1/2at²
2(S-ut) = at²
a = 2(S-ut)/t²
Hence the acceleration a in terms of other variables is expressed as a = 2(S-ut)/t²
NEED HELP ASAP WILL GIVE 5 STAR
Answer:
I would say the 3rd one, i think
Step-by-step explanation:
Emma has 4 1/2 pounds of birdseed. She wants to divide it evenly among 3 bird feeders. How much birdseed should she put in each?
Answer:
100 each bird in store and more than 100 depends price
Ramon plays a game which his older sister he first gains 5 points then loses 8 points and finally gains 10 points what is his final score
Please help I will give you Brainlyest
Answer:
7 points
Step-by-step explanation:
started out w/ 5 points, then loses 8
5 - 8 = -3
gains 10 points
-3 + 10 = 7
It takes Ronnie 4.5 minutes to bake 12 brownies. How long will it take to bake 20 brownies?
Answer:
7.5
Step-by-step explanation:
Answer:
7.2 minutes
Step-by-step explanation: you divide 20/12 and then you should get 1.6. After that you should multiply 1.6 times the 4.5 minutes and you get 7.2 minutes.
Guys plssssssss! I want to spend time today and tomorrow with my fam before they go back to Washington
Please help me solve this. This stuff is brand new to me and I don’t understand it.
Please go step-by-step to explain it
What is the exact value of sin(345°)? 30 PTS, WILL DO BRAINLIEST
A) (sqrt3 + sqrt2)/2
B) (sqrt6 + sqrt2)/4
C) (-sqrt3 + sqrt2)/2
D) (-sqrt6 + sqrt2)/4
-Edge 2020
The value of sin (345)= (-sqrt6 + sqrt2)/4= -0.2588
What is Trigonometry?Trigonometry, the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin (345)
Now, using Trigonometric identity
sin(a+ b)=sin a x cos b+ sin b x cos a
Now, expand 345= 300+ 45
sin(300 + 45)=sin 300 x cos 45+ sin 45 x cos 300
sin(300 + 45)= -√3/2 x √2/2 + √2/2 x 1/2
= -√6/4 + √2/4
= -0.2588
Hence, sin (345)= -0.2588
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Driving down Bald Mountain in Wyoming, Bobba Dean finds that he descends 1600 feet in elevation by the time he is 2.5 miles (horizontally) away from the high point on the mountain road. Find the slope of his descent rounded to two decimal places. (1 mile =5280 feet). Remember, he is descending so your answer should be a negative number. Express your answer as a decimal rounded to the nearest hundreth.
Answer:
The slope of the descent is 0.12 rounded to the nearest hundredth
Step-by-step explanation:
The given parameters are;
The vertical distance of descent of Bobba Dean = 1600 feet
The horizontal distance Bobba Dean has moved from the mountain high point = 2.5 miles
1 mile = 5,280 feet
∴ 2.5 miles = 2.5 × 5,280 feet = 13,200 feet
The slope of the descent = (The change in vertical elevation of Bobba Dean)/(The change in horizontal position from the high point of the mountain, by Bobba dean)
∴ The slope of the descent = (1600 feet descent)/(13,200 feet) = 4/33
The slope of the descent = 4/33 = 0.12 rounded to the nearest hundredth
An Ice cream shoppe makes $15 for every 4 milkshakes they sell. If they made $71.25 in one hour on milkshakes, how many did they sell?
Answer:
19
Step-by-step explanation:
42 ft - 36 ft- 54 ft
Answer:
-48
Step-by-step explanation:
Which inequality matches the graph? 3000K x ++++++++++++ --9-8-7-6-5--4-3-2-1 +
answers:
-2x + 3y > 7
2x + 3y < 7
-3 + 2y > 7
3x - 2y < 7
Answer: b I think
Step-by-step explanation:
which one is greater 2.2,0.1,4.5,or 4
Answer:
4.5
Step-by-step explanation:
Solve for t.
h=-1/2at^2+ 1
What is t equal to
Answer:
t = − √ 2 a ( − h + 1 )/ a
Step-by-step explanation:
The solution to the given equation is t = √-2(h + 1)/a for "t" as a subject.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question following as:
h = - 1/2at² + 1
We have to determine the solution to the given equation for t as a subject.
As per the given question, we have
⇒ h = - 1/2at² + 1
Rearrange the terms in the above equation,
⇒ 1/2at² = - h + 1
Multiply by 2 both sides of the equation,
⇒ at² = -2(h + 1)
Divided by "a" both sides of the equation,
⇒ t² = -2(h + 1)/a
⇒ t = √-2(h + 1)/a
Thus, the solution to the given equation is t = √-2(h + 1)/a for "t" as a subject.
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What is the equation of the line shown in the graph?
Answer:
y=-3
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Guys pleeease help! I need help asap!
Answer:
10
Step-by-step explanation:
first time they spent 11
2nd time was 1 dollar less
since 1 burrito is 2 dollars 3 is 6
and the 4 tacost were 4 dollars
I might be wrong
How many solutions does the following equation have?
4 (x - 5) = 4x + 10
Group of answer choices
No solution
One solution
Infinitely many solutions
Two solutions
Hellppppp 20 points and brainliest!!!
Answer:
A, B, E
Step-by-step explanation:
(ames are out of order)
Each bell pepper is $1.25 (5÷4)
Carl: 5×1.25=$6.25 = $6.25
Evan: 6×1.25=$7.50 ≠ $9.00
Greg: 10×1.25=$12.50 = $12.50
Dean: 3×1.25=$3.75 = $3.75
Frances: 1×1.25=$1.25 ≠ 1.50
Plot-1.4 on the number line below
Xavier determined that 9% of the sixth grade students in his school play the flute. There are 200 students in the sixth grade. How many students in sixth grade do NOT play the flute?
Answer:
182 people do not play the flute.
Step-by-step explanation:
The answer is 182 because 9% of 200 is 18 and 200 minus 18 equals 182.
what is 1+1x5-4x3=?
PLZ HELP ME
Answer:
[tex]x^5-4x^3+1[/tex]
Step-by-step explanation:
18+2(4-1) equation please help!
Answer:
18+2(4−1)
=18+(2)(3)
=18+6
=24
Any tricks on trigonometry
Answer:
Step-by-step explanation: Tip 1) Always Start from the More Complex Side.
Example Q1) Prove the identity tan⁴x = sec²x (tan²x-1)+1.
Tip 2) Express everything into Sine and Cosine.
Tip 3) Combine Terms into a Single Fraction.
Tip 4) Use Pythagorean Identities to transform between sin²x and cos²x.
Tip 5) Know when to Apply Double Angle Formula (DAF)
Ms.Yost has 20 boxes of markers. She buys 420% more boxes. How many boxes will she have in all?
Answer:
84
Step-by-step explanation:
20 x 4.2=84 also Ms.Yost is a savage