Answer:
None of both
Step-by-step explanation:
It say y = lxl
so it mean if y = 3 so x = 3 or -3
find the 9th and 15th terms of the following geometric sequence 2, -4, 8, -16
Step-by-step explanation:
given the geometric sequence 2, -4, 8, -16, ...
a1 = 2
r = -4/2 = -2
find : a9 and a15
solutions:
an = a1. r^(n-1)
=> a9 = 2. (-2)^(9-1)
= 2. (-2)^8
= 2. 2^8
= 2^9
= 512.
=> a15 = 2. (-2)^(15-1)
= 2. (-2)^14
= 2. 2^14
= 2^15
= 32,768
Step-by-step explanation:
Hey there!
The given geometric sequence is: 2, -4, 8, -16.
The;
a1 = 2
Common ratio (r) = T2/T1
= -4/2
= -2
Now;
Use general formula of geometric sequence;
[tex]tn = {a1.r}^{n - 1} [/tex]
Where, "a1" is first term, "n" is no.of terms and "r" is common ratio.
Then;
[tex]t9 = 2 \times { (- 2)}^{9 - 1} [/tex]
or, t9 = 2*256
Therefore, t9 = 512.
Again;
[tex]t15 = 2. { (- 2)}^{15 - 1} [/tex]
or, t15= 2*16384
Therefore, t15 = 32768.
Hope it helps!
Helppppp and explain pls and thankyouuu
Answer: B
Step-by-step explanation:
multiply all the the sales by 11% and you will get the answers in option b
ex: 1300*0.11=143
Which of the four graphs has the greatest standard deviation? please help me
Answer:
Standard deviation is how far away the values are from the mean.All of your graphs have normal distribution, meaning the mean is in the center.The more spread out your graph is, the greater the standard deviation.
So the option with the most spread out graph, which I think is A, can't see very clear.
with steps please
A student uses a clinometer to measure the angle of elevation of a sign that marks the point on a tower that is 45 m above the ground. The angle of elevation is 32° and the student holds the clinometer 1.3 m above the ground. He then measures the angle of elevation of the top of the tower as 47º. Sketch and label a diagram to represent the information in the problem. Determine the height of the tower to the nearest tenth of a metre
Answer: [tex]75\ m[/tex]
Step-by-step explanation:
Given
The tower is 45 m high and Clinometer is set at 1.3 m above the ground
From the figure, we can write
[tex]\Rightarrow \tan 32^{\circ}=\dfrac{43.7}{x}\\\\\Rightarrow x=\dfrac{43.7}{\tan 32^{\circ}}\\\\\Rightarrow x=69.93\ m[/tex]
Similarly, for [tex]\triangle ACD[/tex]
[tex]\Rightarrow \tan 47^{\circ}=\dfrac{43.7+y}{x}\\\\\Rightarrow 69.93\times \tan 47^{\circ}=43.7+y\\\\\Rightarrow 74.99=43.7+y\\\Rightarrow y=31.29\ m[/tex]
Height of the tower is [tex]43.7+31.29\approx 75\ m[/tex]
Solve for x. Round to the nearest tenth, if necessary.
❊ Simplify :
[tex] \large{ \bf{ \frac{x - 1}{ {x}^{2} - 3x + 2} + \frac{x - 2}{ {x}^{2} - 5x + 6 } + \frac{x - 5}{ {x}^{2} - 8x + 15 } }}[/tex]
[tex] \large{ \tt{ans : \bf{ \frac{3x - 7}{(x - 2)(x - 3)} }}}[/tex]
- Show your workings *
- Irrelevant / Random answers will be reported!
[tex]\red{\frak{Given}}\Bigg\{ \sf \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } [/tex]
[tex]\rule{200}4[/tex]
[tex]\sf\longrightarrow \small \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \\\\\\\sf\longrightarrow \small \dfrac{ x-1}{x^2-x -2x +2} +\dfrac{ x-2}{x^2-3x-2x+6} +\dfrac{ x -5}{x^2-5x -3x + 15 } \\\\\\\sf\longrightarrow\small \dfrac{ x -1}{ x ( x - 1) -2(x-1) } +\dfrac{ x-2}{x ( x -3) -2( x -3)} +\dfrac{ x -5}{ x(x-5) -3( x -5) } \\\\\\\sf\longrightarrow \small \dfrac{ x -1}{ ( x-2) (x-1) } +\dfrac{ x-2}{( x -2)(x-3) } +\dfrac{ x -5}{ (x-3)(x-5) } \\\\\\\sf\longrightarrow\small \dfrac{ 1}{ x-2} +\dfrac{ 1}{ x -3} +\dfrac{1}{ x -3} \\\\\\\sf\longrightarrow \small \dfrac{1}{x-2} +\dfrac{2}{x-3} \\\\\\\sf\longrightarrow \small \dfrac{ x-3 +2(x-2)}{ ( x -3)(x-2) } \\\\\\\sf\longrightarrow \small \dfrac{ x - 3 +2x -4 }{ (x-3)(x-2) } \\\\\\\sf\longrightarrow \underset{\blue{\sf Required \ Answer }}{\underbrace{\boxed{\pink{\frak{ \dfrac{ 3x -7}{ ( x -2)(x-3) } }}}}}[/tex]
[tex]\rule{200}4[/tex]
Answer:
Your solution ..................
solve the following problems
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
What single decimal multiplier would
you use to increase by 9% followed by
6% decrease?
Answer:
1.0246
Step-by-step explanation:
100*1.09 = 109
109*0.94 = 102.46
102.46% = 1.0246
f equals to 2 f - 20
Answer:
20
Step-by-step explanation:
f = 2f - 20
f - 2f = - 20
- f = - 20
f = 20
question 2 help pls
Answer:
[tex](\sqrt{x+3} )^{2} + 4^{2} = 5^{2}[/tex]
x + 3 + 16 = 25
x + 19 = 25
x = 6
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
What are the side of triangle PQR
A(3,4) and B(-3,2) are pointd on a coordinate plane. find the coordinate of a points C on the x axis such that AC=BC
Answer:
Step-by-step explanation:
Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:
and
Now for the slope of AB:
and
So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):
and filling in:
y - 3 = -3(x - 0) and
y - 3 = -3x + 0 and
y - 3 = -3x so
y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):
0 = -3x + 3 and
-3 = -3x so
x = 1
The coordinate on the x-axis such that AC = BC is (1, 0)
You are a salaried employee paid semi-monthly. If you make 548,750 annually, what is
your estimated take home per pay?
If semi-monthly means every half a month, then my take home pay is 22864.58333
Answer:
548750/12
approximately 45729
The graph of a line goes down and to the right when:
A. there is no coefficient of x.
B. the coefficient of x is 0.
c. the coefficient of xis positive.
D. the coefficient of x is negative.
Answer:
The answer is D.
Step-by-step explanation:
When a graph of a line goes down and to the right, it shows that as the value of x increases, the value of y decreases. This represents a negative coefficient for x.
The graph is a drawn out version of the question.
Te graph of a line goes down and to the right when the coefficient of x is negative, option (D) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
y = mx + c
We have:
The graph of a line goes down and to the right when.
The orientation of the line depends on the slope.
If the slope of the line is positive, the line will go up.
If the slop of the line is negative, the line will go down.
Thus, the graph of a line goes down and to the right when the coefficient of x is negative, option (D) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
I need help with my math!!!
Answer:
The correct answer is y = | x + 6 |
what’s the answer? how do I solve this?
Answer:
39.96 is what I think is the answer :)
The Law of Sines: Mastery Test ? In triangle ABC, how long is side a if A = 24°, C = 55°, and c = 3? O 1.49 O 1.31 O 6.04 O 0.1
Answer:
Step-by-step explanation:
Using the Law of Sines, our proportion would be
[tex]\frac{sin24}{a}= \frac{sin55}{3}[/tex] and cross multiply to get
3sin24 = asin55 and solve for a:
[tex]a=\frac{3sin24}{sin55}[/tex] so
a = 1.49, the first choice.
2+3=95
4+5=259
6+7=4913
8+9=?
Answer:
8117Step-by-step explanation:
by considering 2 + 3 = 95
3² = 9
2 + 3 = 5
by considering 4 + 5 = 259
5² = 25
4 + 5 = 9
by considering 6 + 7 = 4913
7² = 49
6 + 7 = 13
by considering 8 + 9 = ????
9² = 81
8 + 9 = 17
∴ 8 + 9 = 8117
Let a and b be the solutions to x^2 + x − 3 = 0. Find the value of a^3 − 4b^2 + 19.
If you can't solve it don't answer.
This is a challenge.
Good luck!
Answer:
0.037
Step-by-step explanation:
Given that,
Let a and b be the solutions to [tex]x^2 + x -3 = 0[/tex]
It can be solved using quadratic formula where a = 1, b = 1 and c = -3
So,
[tex]x=\dfrac{-1+\sqrt{1^2-4\times 1\times (-3)}}{2(1)},\dfrac{-1-\sqrt{1^2-4\times 1\times (-3)}}{2(1)}\\\\x=1.30,-2.3[/tex]
Let a = 1.3, b = -2.3
The value of [tex]a^3 -4b^2 + 19[/tex] can be given by :
[tex]a^3 -4b^2 + 19=(1.3)^3-4\times (-2.3)^2+19\\\\=0.037[/tex]
So, the value of the given expression is 0.037.
[tex]\text{Solve for x.}\\\\5x + 10 = 35[/tex]
Answer:
x = 5
Step-by-step explanation:
5x + 10 = 35
Subtract 10 from both sides
5x + (10-10) = 35 - 10
Simplify
5x = 25
Divide both sides by 5
5x/5 = x
25/5 = 5
We're left with x = 5
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{x = 5}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'....}}\\\\5x + 10 = 35\\-------------\\\rightarrow 5x + 10 - 10 = 35 - 10\\\\\rightarrow 5x = 25\\\\\rightarrow \frac{5x=25}{5}\\\\\rightarrow \boxed{x = 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
You offer to sell a used car for $1,895. Yesterday you purchased the car for $1,755. What percentage markup on cost are you charging (to the nearest tenth)?
Answer:
8.0%
Step-by-step explanation:
1. [tex]1895-1755=140[/tex]
2.[tex]\frac{140}{1755} =0.07977208[/tex]
3. 8.0%
The pie chart shows how 36 pupils travel to school.
Use the pie chart to complete the table.
Bike
Walk
Travel to
school
Number
of pupils
Walk
9
120°
Car
Bus
Bus
Car
Bike
Total
36
Answer:
[tex]Bike = 7[/tex]
[tex]Car = 8[/tex]
[tex]Walk = 9[/tex]
[tex]Bus = 12[/tex]
Step-by-step explanation:
Given
[tex]Bus = 120^o[/tex]
[tex]Walk = 90^o[/tex]
[tex]Car = 80^o[/tex]
[tex]n = 36[/tex] --- pupils
Required
Determine the number of students in each category
This is calculated by dividing the measure of each category by 360; then multiply the result by the number of pupils:
So, we have:
[tex]Bus = \frac{120}{360} * 36 = \frac{1}{3} * 36 = 12[/tex]
[tex]Walk = \frac{90}{360} * 36= \frac{1}{4} * 36 = 9[/tex]
[tex]Car = \frac{80}{360} * 36 = \frac{80}{10} = 8[/tex]
To calculate the number of students that travel by bike, we have:
[tex]Car + Bike + Walk + Bus= n[/tex]
Substitute values
[tex]8 + Bike + 9+ 12= 36[/tex]
Collect like terms
[tex]Bike = 36 - 8 - 9 - 12[/tex]
[tex]Bike = 7[/tex]
Answer:
Look at picture
Step-by-step explanation:
Type the correct answer in each box.
Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was
2
times the weight of the first fish, another was
2
more than
3
times the weight of the first fish, the next was
1
2
the weight of the first fish, and the last was
3
5
the weight of the first fish.
Bridget’s dad caught four fish. The first fish he caught weighed
2
more than
3
times the weight of the first fish caught that day.
One fish weighed
4
5
the weight of the first fish caught that day, one weighed
4
more than
2
times the weight of the first fish caught that day, and the last weighed
1
2
the weight of the first fish caught that day.
Answer:
PLZZ MARK ME BRAINLIEST..!
Step-by-step explanation:
Bridgets fish: f , 2f, 3f+2 , 1/2f, 3/5f
Add for total weight: 7 1/10 f +2
Dads fish: 3f+2, 4/5f, 2f+4, 1/2f
Add for total weight: 6 3/10f +6
set the 2 total weights equal:
6 3/10f +6 = 7 1/10f +2
Subtract 6 3/10f from each side:
6 = 8/10f + 2
Subtract 2 from each side:
4 = 8/10f
Divide both sides by 8/10:
f = 5
Bridget's first fish weighed 5 ounces.
Dads first fish weighed: 2 more than 3 times :3(5) + 2 = 15 +2 = 17 ounces.
Suppose you own a rowboat and sometimes go rowing in the summer. In June, you are planning to go rowing with two of your friends (three people total in the boat), and in July, you are planning to go rowing with just one friend (two people total in the boat). Will you put in more effort (row harder) on the three-person trip or on the two-person trip?
Answer:
The three-person trip require more effort (row harder) than the two person-trip
Step-by-step explanation:
The number of persons in the boat determines the mass of the boat
The mass of the boat with three people in total is more than the mass of the boat with only two person's
Mass is a measure of inertia, which is the resistance of a body to accelerate, and therefore, to the application of a force
Therefore, on the three-person trip were three people are in the boat, the boat has more mass, and therefore more inertia and will require more effort (force) than on the two-person trip that has a lesser mass
What is the vertex of
y= 3/4x^2+3x+2
Answer:
The vertex is located at (-2,-1)
Step-by-step explanation:
An online store increased the price of a shirt by 17% and charged $3 to ship the shirt to a customer. The customer paid $43 for the shirt. What was the original price of the shirt?
Please explain thoroughly how to get the answer. 15 points
Answer:
Check explanation
Step-by-step explanation:
Let
x = original price
Percentage increase in price = 17%
New price = original price + Percentage increase in price
= x + 17% of x
= x + 0.17 * x
= x + 0.17x
= 1.17x
Shipping cost = $3
Total cost = $43
Total cost = New price + Shipping cost
43 = 1.17x + 3
43 - 3 = 1.17x
40 = 1.17x
x = 40 / 1.17
x = $34.188034188034
Approximately,
x = $34.2
How do I answer number 1
Answer:
#1 Haley is correct and Lacey is incorrect
#2 Kenji is incorrect.
Step-by-step explanation:
#1. x^3 (x^2) = x^5 but this same law doesn't apply to addition of numbers with exponents.
#2 The law of exponents doesn't apply to numbers with different bases that are not multiples of each other such as 3 and 4, so Kenji's simplification is not correct.
how do you solve 2x+320=425
Answer:
how to solve your problem
Step-by-step explanation:
2x320=425
subtract both 320 both from sides of the equation
2x+320-320=425-320
subtract numbers
2x=105
divide both sides of equation by the same terms
2x/2=105/2
simplify
x=105/2
answer is x=105/2
Amy,bob and hadi saved $1012 altogether. Amy saved $85. Hadi saved 3 times as much as the total amount of Amy's and Bob's savings. How much did Bob save?
Answer:
Bob Saves 168$.
Step-by-step explanation:
According to the Question,
Given That, Amy , bob and hadi saved $1012 altogether.Thus, A + B + H = 1012 ⇒ Amy saved $85.
So, B + H = 927 ----- Equation 1
And Hadi saved 3 times as much as the total amount of Amy's and Bob's savings So, H = 3(A + B) ⇒ We Know Amy saved $85.So, H - 3B = 255 ----- Equation 2
Now, Subtract Equation 2 from Equation 1, We get4B = 672 ⇒ B = 168
Bob Saves 168$.