Answer:
Verify x+y+z)=(x+y)+z for the following values of x,y,z
(i)x=3/4,y=5/6,z=-7/8(
ii)x=2/; 3,y=-5/6,z=-7/9(
iii)x=3/5,y=-6/9,z=2/10(
iv)x=; - 3/5, y = - 7/10, z = - 8/15 To Verify x+(y+z)=(x+y)+z (i)x=3/4,y=5/6,z=-7/8 LHS = 3/4 + (5/6 + (-7/8)) = (3/4) + (5/6 -7/8)= (3/4) + ((20-21)/24) = 3/4 - 1/24 =(18-1)/24 = 17/24
RHS = (3/4 + 5/6) + (-7/8)= (9 + 10)/12 - 7/8 = 19/12-7/8 = (38-21)/24 = 17/24
LHS = RHS = 17/24 (ii) * x = 2/3, y = - 5/6, z = - 7/9 LHS = 2/3 + (-5/6+ (-7/9) = 2/3 + (-5/6 - 7/9) = 2/3 + (-29/18) = 2/3 - 29/18
= 12/18 - 29/18 = -17/18
RHS = (2/3 + (-5/6))+(-7/9) = (2/3 - 5/6) - 7/9 = (-1/6) - 7/9 = -1/6 - 7/9 = -3/18 - 14/18 =
-17/18
LHS = RHS....
Hence verified..
Step-by-step explanation:
hope it helps u no notebook
.???
You deposit $100 into a savings account that gives you 5.5% annual interest rate, compounded quarterly. What will be your balance after 4 years?
Answer:
$124.42.
Step-by-step explanation:
Given data
Principqp= $100
Rate= 5.5%
time=4 years
First, convert R as a percent to r as a decimal
r = R/100
r = 5.5/100
r = 0.055 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt // Since we are compounding quarterly
A = 100.00(1 + 0.055/4)(^4)(4)
A = 100.00(1 + 0.01375)^(16)
A = $124.42
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $100.00 at a rate of 5.5% per year compounded 4 times per year over 4 years is $124.42.
SOMEONE PLEASE HELP ME I'M STUCK
Answer:
57%
Step-by-step explanation:
200+245+125 = 570
570/1000 = .57
Answer:
57%
Step-by-step explanation:
First find the total number of families in the sample.
Total = 350 + 200 + 245 + 125 + 66 + 10 + 4
Total = 1000
Next find the number of families that have 3, 4 or 5 people.
Total(3,4 or 5) = 200 + 245 + 125
Total(3,4 or 5) = 570
Now the % = (Total 3,4 or 5) / Total ) * 100
% = 570 / 1000 * 100
% = 57%
Read the following excerpt from a personal narrative essay. Based on the excerpt, what did the writer learn from her personal experience?
Have you ever been canoeing? I went on a canoeing trip with my mom, dad, and two brothers when I turned 13. It was one of the best days of my life. It was exciting, scary, and challenging all at once. At first I couldn’t believe those long, narrow pieces of wood could hold all five of us. But our instructor told us that canoes have been around for many years. He also told us some interesting facts about the history of canoe, like how American Indians used canoes as a way to travel quickly.
He patted the wood of the canoe we would be using. “It’s made of an old tree trunk,” he said.
I asked the question that had been bothering me ever since I saw our canoe. “Can it really hold all of us?” I pointed to my brothers and me. “It looks like the bottom could fall right off.”
The instructor laughed. “Oh, you’ll be surprised how strong this wood is. If our customers were always drowning, we’d have a 'sinking' business on our hands.”
He laughed some more at his own joke. Then he became serious and showed us how to keep our balance while getting into and out of the boat. He also showed me how to grip the paddle so that my left hand would guide the boat and my right hand would give the paddle power.
A.
Canoeing is dangerous, and only people who are experts can do it.
B.
Even events that seem a little scary can turn out to be great.
C.
The best age to go on a canoeing trip is 13.
D.
Canoeing can cause injury if you’re new to the sport.
Suppose a triangle has sides a, b, and c, and that a2 + b2 > c2. Let 0/ be the
measure of the angle opposite the side of length c. Which of the following
must be true? Check all that apply.
A. 0/ is an acute angle.
B. cos 0/ > 0
C. The triangle is a right triangle.
D. The triangle is not a right triangle.
Hello,
Answer A
Indeed:
[tex]c^2=c^2+b^2-2ab*cos(\theta) < a^2+b^2\\\\-cos(\theta)<0\\\\cos(\theta)>0\ \Longrightarrow \theta < 90^o[/tex]
True statements are:
A. [tex]\theta[/tex] is an acute angle.
C. The triangle is a right triangle.
D. The triangle is not a right triangle.
What is angle?An angle is a combination of two rays (half-lines) with a common endpoint.
Given:
a² + b² > c²
as, the triangle with sides a, b and c.
If this is a right triangle, then the condition a² + b² > c² apply.
Using cosine law.
angle> 90 degrees which is an obtuse angle.
Also, cos [tex]\theta[/tex] is negative.
Hence, the conditions that are true are A, C and D.
Learn more about this concept here:
https://brainly.com/question/1619127
#SPJ2
The sides of a triangle have lengths 2, 3, and 3. What kind of triangle is it?
This is because the triangle has exactly two sides that are the same length.
If all three sides were the same length, then it would be equilateral.
If neither of those cases, then we consider the triangle scalene.
Can someone help and explain this to me,if you do it means a lot :)
Answer:
0 zero
Step-by-step explanation:
you must find gf(x) first
g[ f(x) ] = g [ 2 + 1 ]
= 3-2+x which is you sub fx tu g
g [ f (-1) ] = 3-2-1
=0
AB is tangent to circle C. Find the value of r. Please answer Asap
Answer:
3
Step-by-step explanation:
a tangent to a circle makes right angle with the radius at that point ( here the point is B)
thus,
ABC is a right angled triangle
AC being the hypotenuse AB being the adjacentBC being the oppositeBy Pythagoras theorem :-
By Pythagoras theorem :-AC² = AB² + BC²
(r + 2)² = 4² + r²
r² + 4 + 4r = 16 + r²
subtracting r² from both sides and taking 4 common
4(1 + r) = 16
diving both sides by 4
1 + r = 4
r = 3 units
The value of r is,
⇒ r = 3 units
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
AB is tangent to circle C.
Now,
By Pythagoras theorem, we get:-
AC² = AB² + BC²
(r + 2)² = 4² + r²
r² + 4 + 4r = 16 + r²
subtracting r² from both sides and taking 4 common
4(1 + r) = 16
diving both sides by 4
1 + r = 4
r = 3 units
Thus, The value of r is,
⇒ r = 3 units
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
#SPJ2
Help please !!! At a local Brownsville play production, 420 tickets were sold. The ticket prices varied on the seating
arrangements and cost $8, $10, or $12. The total income from ticket sales reached $3920. If the
combined number of $8 and $10 priced tickets sold was 5 times the number of $12 tickets sold, how
many tickets of each type were sold?
Answer:
n = 12$ x = 8$ y = 10$ where n, x, and y are number of tickets
12 n + 8 x + 10 y = 3920 and n + x + y = 420
12n + 8 (x + y) + 2 y = 3920
12 n + 8 (5 n) + 2 y = 3920 since 5 (x + y) = n
52 n + 2 y = 3920 or y = 1960 - 26 n
Also, n + x + y = 420 or n + 5 n = 420 since x + y = 5 n
n = 70 so 70 of the $12 were sold
And since y = 1960 - 26 n we have y = 140 tickets
Now 12 * 70 + 8 x + 140 * 10 = 3920
This gives x = 210 tickets
Check: 210 + 140 + 70 = 420 tickets
Also, 12 * 70 + 210 * 8 + 140 * 10 = 3920
CAN SOMEONE HELP ME ASAP!!!
Answer:
5÷35 = 1/7× 100
Step-by-step explanation:
P(E)= n(E)÷ n(s)
Answer:
17%
Step-by-step explanation:
Add all of the students up and then form a ratio:
30 students in total; 5 seniors/30 students
5/30 = 1/6 = 16.67%
(I think that's the answer, hope it helps)
which is represented by the table
Answer:
I think its is C
Domain and rang of these
Answer:
Domain: {-3, -1, 1}
Range: {-1, 2, 4, 5}
Step-by-step explanation:
The domain is all the x-values, and the range is all the y-values. When listing values, repeated values are only written down once.
Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .
Answer:
8.42
Step-by-step explanation:
* means multiply
31.65/5.45 = x/1.45
5.45x = 31.65 * 1.45
5.45x = 45.8925
x = 45.8925/5.45
x = 8.42064220183
Can someone help me with this math homework please!
Answer:i dont know
Step-by-step explanation:
Rewrite this function in equivalent forms to identify the key features of the quadratic function it models.
f(x) = 2x2 - 40 - 6
Type the correct answer in each box.
Key features:
y-intercept: 0,
axis of symmetry: z =
vertex: OD
x-intercepts: (-1,0) and ((,)
Answer:
y int = -6
x = 1 axis symmetry
vertex : (1,-8)
x int: (3,0),(-1,0)
Step-by-step explanation:
I have like no clue what this means, please help! :)
Answer:
1/9
You are being asked to "complete the square"
you need to find a value to make the quadratic a "perfect square:
the focus is -2/3 you need to "add" one half of -2/3 squared to the
equation (1/2 * -2/3)^2 .... (-2/6)^2 .... 4/36 .... 1/9
Step-by-step explanation:
what's the middle number between 20 and 30?
Answer:
25
Step-by-step explanation:
you can find the middle number by solving for the mean/average
20+30=50
50/2=25
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{What's the middle number between 20 \& 30?}[/tex]
[tex]\mathsf{\dfrac{20+30}{2}}[/tex]
[tex]\large\textsf{20 + 30 = \bf 50}[/tex]
[tex]\mathsf{=\dfrac{ 50}{2}}[/tex]
[tex]\large\textsf{= \bf 25}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: middle number between 20 \& 30 is: \bf 25}}}\\\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
How do you get 24 with the numbers 6, 5, 4 and 8
Step-by-step explanation:
hoped this will help you
if that's help you plz vote me or mask as brinalist
Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2.
Answer:
Step-by-step explanation:
1,
-10,20,-40,80,...
common ratio=20/-10=-2
it is a geometric sequence.
2.
15,-5,-25,-45
common difference=-5-15=-20
it is an arithmetic sequence.
At maximum speed, an airplane travels
1680 miles against the wind in 5 hours.
Flying with the wind. the plane can
travel the same distance in 4 hours.
What is the speed of the plane with no wind?
Answer:
The speed of the plane with no wind is 378 miles per hour.
Step-by-step explanation:
Since at maximum speed, an airplane travels 1680 miles against the wind in 5 hours, and flying with the wind. the plane can travel the same distance in 4 hours, to determine what is the speed of the plane with no wind, the following calculation must be performed:
Against the wind = 1680/5 = 336
With the wind = 1680/4 = 420
420 - ((420 - 336) / 2) = X
420 - 42 = X
378 = X
Therefore, the speed of the plane with no wind is 378 miles per hour.
What are the solutions to X2 + 8X + 7 = 0?
Answer:
x = - 7, x = - 1
Step-by-step explanation:
Given
x² + 8x + 7 = 0
Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)
The factors are + 7 and + 1 , since
7 × 1 = 7 and 7 + 1 = 8 , then
(x + 7)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x + 1 = 0 ⇒ x = - 1
Answer:
[tex]x=-1,-7[/tex]
Step-by-step explanation:
[tex]x^2+8x+7=0[/tex] where a [tex]\neq[/tex] 0 so a = 1 b = 8 c = 7
Quadratic Formula: [tex]x=-b\frac{\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}[/tex]
[tex]x=-8\frac{\sqrt{64-28} }{2}[/tex] Evaluate the exponent and multiply 4ac
[tex]x=-8\frac{\sqrt{36} }{2}[/tex] Subtract b^2 - 4ac and multiply 2a
[tex]x=-8\frac{\sqrt{6} }{2}[/tex] Solve for the sqrt root of 35
x = - 8 ± 6/2 =
x = - 8 + 6/2 = -1
x = - 8 - 6/2 = -7
The concession stand at the local high school sells pretzels and lemonade. The total cost of two pretzels and a lemonade is $5.75. The total cost of two lemonades is $0.25 more than the cost of a pretzel. What is the cost of a pretzel?
Answer:
$2.25
Step-by-step explanation:
>givens:
2 pretzels + 1 lemonade = $5.75
2 lemonades = 1 pretzel + $0.25
>find from the first equation how much is 1 lemonade
2 pretzels + 1 lemonade = $5.75, subtract 2 pretzels from both sides
1 lemonade = 5.75 -2 pretzels
>substitute in the second equation 2 lemonades with 2(5.75-2 pretzels)
2 lemonades = 1 pretzel + $0.25
2(5.75-2 pretzels) = 1 pretzel + $0.25, distribute 2 in parentheses
11.5 -4 pretzels = 1 pretzel +0.25, isolate like terms
11.5-0.25 = 1+4 pretzels, combine like terms
11.25 = 5 pretzels, divide both sides by 5
1 pretzel = $2.25
*you can use the letter "p" for pretzel and "l" for lemonade to make the equations more concise
CAN YALL HELP ME WITH THIS ONEEE!!!!! PLZ
Answer:
b
Step-by-step explanation:
12x12
11x11
10x10
9x9
8x8
7x7
6x6
5x5
4x4
3x3
2x2
1x1
add em together equal 650
The question is in the photo
Answer:
Step-by-step explanation:
This is a right triangle because angle V is 90. Draw out a right triangle and put V at the 90 degree angle. It doesn't matter where you put U or T; you get the same cos value for T regardless of how you place your other 2 angles. The things you need to know are that UT is the hypotenuse of the triangle, side VU is across from angle T, and side TV is across from angle U.
The cos ratio is side adjacent to the reference angle over the hypotenuse.
Our reference angle is T, so we are looking for the side next to T that is NOT the hypotenuse. This side measures 33; the hypotenuse measures 65, so the tangent ratio of T is
[tex]tanT=\frac{33}{65}[/tex]
Subtract
[tex] - 3[/tex]
[tex] - {2y}^{3} [/tex]
[tex] - y[/tex]
[tex] - {5y}^{2} [/tex]
from
[tex] - {2y}^{3} [/tex]
[tex] + 4[/tex]
Answer:
Step-by-step explanation:
-2y³ + 4 - (-3 - 2y³ - y - 5y²) = -2y³ + 4 + 3 + 2y³ + y + 5y²
= -2y³ + 2y³ +5y² + y + 4 + 3 {combine like terms}
= 5y² +y + 7
i need help with this!!!!
Answer:
Tomas
Step-by-step explanation:
Divide Distance by Time
[tex]\frac{distance}{time}[/tex] = speed
Answer:
Tomas is the fastest
Step-by-step explanation:
To find out who is the fastest, divide the distance by the time to get the unit rate. (The amount they drove each hour.)
Maren: 60 / 1 = 60
Safiya: 120 / 3 = 40
Tomas: 84 / 1.2 = 70
Cam: 75 / 1.5 = 50
Tomas has the largest unit rate therefore he is the fastest.
I need help with this question. Can you please help me.
Answer:
ummmm maybe u just forgot to add the picture
(x2/5)n
For what value of n, written as a decimal, will the expression equal x?
Given:
The expression is:
[tex]\left(x^{\frac{2}{5}\right)^n[/tex]
To find:
The decimal value of n so that the value of the given expression is equal to x.
Solution:
We have,
[tex]\left(x^{\frac{2}{5}\right)^n[/tex]
This expression is equal to x.
[tex]\left(x^{\frac{2}{5}\right)^n=x[/tex]
[tex]x^{\frac{2}{5}n}=x^1[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
On comparing the exponents, we get
[tex]\dfrac{2}{5}n=1[/tex]
[tex]2n=5[/tex]
[tex]n=\dfrac{5}{2}[/tex]
[tex]n=2.5[/tex]
Therefore, the required value of n is 2.5.
Help me find answer please very much lost and its a test:(((will give brainiest or w.e it is
Answer:
x = 8
Step-by-step explanation:
Recall: according to the exterior angle theorem of a triangle, the sum of two interior angles equals the measure of the exterior angle it is opposite to.
m<MNO = (5x + 2)° => exterior angle of ∆LMN
m<NLM = (x + 10)° => interior angle of ∆LMN
m<LMN = (x + 16)° => interior angle of ∆LMN
Therefore:
m<MNO = m<NLM + m<LMN (exterior angle theorem of triangle)
Substitute
5x + 2 = x + 10 + x + 16
Add like terms
5x + 2 = 2x + 26
Collect like terms
5x - 2x = -2 + 26
3x = 24
Divide not sides by 3
x = 24/3
x = 8
Here's a graph of a linear function. Write the equation that describes that function. Express it in slope intercept form
Answer:
y = (1/2)x + 3
Step-by-step explanation:
Slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
The line rises 1 in y for every run of 2 in x
m = slope = rise/run = 1/2
b, The y-intercept is 3
The equation is
y = (1/2)x + 3
4x2 -28x-32 fully factored
GCF=4
4(4x^2/4+-28x/4+-32f/4)
=4(x^2-7x-8f)
Hello,
[tex]4x^2-28x-32\\\\=4(x^2-7x-8)\\\\=4(x^2-8x+x-8)\\\\=4[x(x-8)+1(x-8)]\\\\=4(x-8)(x+1)\\[/tex]
