Answer:
4
Step-by-step explanation:
it works on edgenutiy 2021
what is the 8th term of this sequence 1, -1/2, 1/4, -1/8
Answer:
-1/128
Step-by-step explanation:
1,-1/2,1/4,-1/8,1/16,-1/32,1/64,-1/128
A pack of 6 batteries of the same type costs £2.79. By caculating the price, per battery, determine if this is better value. You must show your working.
Answer:
£0.465. It is a better value.
Step-by-step explanation:
If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;
6batteries = £2.79
1 battery = x
x = cost of a battery
6x = £2.79
x = £2.79/6
x = £0.465
Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.
Jessica rode 38 miles on a bus. The ride took 48 minutes. What was the average speed of the bus?
Answer: 47.5 miles per hour
Step-by-step explanation:
Speed = distance / time
48 minutes = 0.8 hours
Speed = 38 / 0.8
= 47.5 miles per hour
ANSWER: 21.235 m/s
Step-by-step explanation:
Distance travelled: 38 miles, 61155.1 m(SI unit of speed or average speed is m/s so distance has to be in meters and time has to be in seconds)
Time taken:48 minutes, 48×60 seconds= 2880 seconds
Average speed= total distance by total time taken: 61155.1/ 2880= 21. 235 m/s
What is the slope of the line through (-9, 6) and (-6, -9)? A/ ⅕ B/ 5 C/ -5 D/ -⅕
Answer:
-5
Step-by-step explanation:
We can find the slope between two points by using
m = (y2-y1)/(x2-x1)
= ( -9-6)/(-6 - -9)
=(-9-6)/( -6+9)
-15/3
-5
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 9, 6) and (x₂, y₂ ) = (- 6, - 9)
m = [tex]\frac{-9-6}{-6+9}[/tex] = [tex]\frac{-15}{3}[/tex] = - 5 → C
How do I find the formula?
Step-by-step explanation:
Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches.
So, given your question,
each side of the cube will be 3
because 3 × 3 × 3 = 27
Hope this helps.
The cross sectional area of a square shaped tunnel is 25m², the volume of the tunnel is 575m³. How long is the tunnel?
Answer:
23 mSolution,
Let the length of tunnel be 'l'
Area=25 m^2
Volume of tunnel= cross sectional area* length
[tex] or \: 575 = 25 \times l \\ or \: l = \frac{575}{25} \\ l = 23 \: m[/tex]
Hope this helps..
Good luck on your assignment..
Find the domains of the following functions: y= 1/x-2
Answer:
x is all real numbers, where x ≠ 2
Step-by-step explanation:
Domain is the input of x-values that can work in a function. Since we can't have 0 in the denominator (undef error), we have to exclude x = 2, as it will make the denominator 0. However, every other x-value works.
Houses in an estate are all identical. However, a person can purchase a new house with some, all, or none of a set of options, as indicated by the set below. How many options are there for purchasing a house in this community? flake view, screened-in balcony, upgraded landscaping, pool} options for purchasing a house in the community. There are
Answer:
120
Step-by-step explanation:
The options are:
flake view, screened-in balcony, upgraded landscaping, pool - 5 in total
Using the fundamental counting principle formula - n! where n is the number of elements = 5, we have
n! =5! = 5x 4 x 3 x 2 x 1 = 120.
There are 120 120 options for purchasing a house in the community.
Divide the sum of 3/8 and -5/12 by the reciprocal of 16/27 x(-15)/8
Answer:
First find the sum of 3/8 and -5/12
That is
3/8 - 5/12
First find the common denominator
The common denominator is 24
We get
3/8 - 5/12 = 3(3) - 5(2) / 24
= 9 - 10 / 24
= - 1 / 24
Next find the product of 16/27 x(-15)/8
That's
16/27 × -15/8
= -10/9
Next reverse -10/9
Which is -9/10
Next we divide it by = -1 /24
so we get
-1/24 ÷ -9/10
Change the sign to (×) and reverse the second fraction
We get
-1/24 × -10/9
= 5 / 108
Hope this helps
I Need the answer ASAP PLEASE HELPPPP What is 7/ 16 · 1 /2 ? A) 7/ 8 B) 7/ 32 C) 14/ 32 D) 7 /64
Answer:
B
Step-by-step explanation:
7/16 times 1/2 would be 7/32 because when you multiply fractions you multiply the top and the bottom like this
7 x 1
and 16 x 2
using this logic you can multiply both fractions to make
7/32
Answer:B) 7/ 32
alll you gotta do is multiply across and its already simplified
what can you conclude about any tangent line to a circle and the radius of the circle
Answer:
A tangent is always perpendicular to the radius of the circle
so we can conclude that they are perpendicular and do form right angles between them
Briana is excited because she has just been hired by a family to babysit on Saturdays. She’s looking forward to earning some extra spending money! The family will pay her $12 per hour for a maximum of 8 hours. Brianna makes a table to show her earnings for different numbers of hours. Help her complete the table.
List the hours from 1 to 8
Multiply the hours by how much she is paid per hour ( $12)
X: 1, 2, 3, 4, 5, 6, 7, 8
y: 12, 24, 36, 48, 60, 72, 84, 96
Please help with the right answer.
Some one explain this
Answer:
13
Step-by-step explanation:
The triangles ABC and DEC are the exact same.
That also means that angle b in the same as angle E
You can then do: 3x=6x-39 (because they are the same)
then simplify:
39=3x
x=13
hope this helped! ask questions in the comments if you still don't know.
Answer:
Make x alone
Subtract 3x on both sides
3x - 3x = 0
6x - 3x = 3x
0 = 3x - 39
Divide 39 by 3
39 / 3 = 13
13 is the answer because it makes the equation equal
Hope this helps
Step-by-step explanation:
Heres the file, Im unsure how to start solving for the answer. Please help as best you can
Answer:
A: 58
Step-by-step explanation:
LINE MN is half of line AC so you divide AC by 2 to get your answer
Hope this helps!
Answer:
116 cm
Step-by-step explanation:
because smaller triangle and larger triangle are scalene triangle
Sean los ángulos a y B, donde la suma de la mitad de a mas la tercera parte de B es igual a 15. calcula el doble del cociente del seno de 3a y el coseno de 2B. Urgente pls a es alpha y B es beta por si acaso
Answer:
Supongo que tenemos dos ángulos A y B
"la mitad de A mas la tercera parte de B es igual a 15°" (también supongo que son grados)
A/2 + B/3 = 15°
A/2 = 15° - (B/3)
A = 30° - 2*(B/3)
Ahora queremos calcular:
2*sin(3*A)/cos(2*B)
pero podemos reemplazar A por lo que tenemos arriba:
2*sin(3*(30° - 2*(B/3)))/cos(2*B)
2*sin(90° - 2*B)/cos(2*B)
y como sabemos,
Sin( 90° - x) = Sin(90°)*cos(-x) + cos(90°)*sin(-x) = cos(-x) = cos(x)
entonces:
2*sin(90° - 2*B)/cos(2*B) = 2*cos(2*B)/cos(2*B) = 2*1 = 2.
The LCM and GCF of 40 and m is 120 and 10 respectively. Find m
Answer: 30
Step-by-step explanation:
Simple formula is
LCM*GCF=PRODUCT OF 2 NUMBERS
120 * 10 = 40 * x
1200 = 40x
x = 1200/40
x = 30
Solve the right triangle, ΔABC, for the missing side and angles to the nearest tenth given sides a = 13.2 and b = 17.7.
Answer:
Side c = 22.1
Angle A = 36.7°
Angle B = 53.2°
Angle C = 90.1°
Step-by-step explanation:
Triangle ABC is a right angle
Where given sides
a = 13.2
b = 17.7
We can find c using Pythagoras Theorem
Pythagoras Theorem for a right angle triangle=
c² = a² + b²
c = √(a² + b²)
c = √(13.2² + 17.7²)
c = 22.08008
≈To the nearest tenth = 22.1
We can solve for Angles A, B, C using Cosine rule
Angle A
a² = b² + c² - 2bc × Cos A
Cos A = b² + c² - a²/2bc
A = Arc cos ( b² + c² - a²/2bc)
A = Arc cos ( 17.7² + 22.1² - 13.2²/2 × 17.7 × 22.1)
A = 36.67563°
≈ To the nearest tenth = 36.7°
Angle B
b² = a² + c² - 2ac × Cos B
Cos B = a² + c² - b²/2ac
B = Arc cos (a² + c² - b²/2ac)
B = Arc cos(13.2² + 22.1² - 17.7²/ 2 × 13.2 ×22.1)
B = 53.21647°
≈Approximately to the nearest tenth = 53.2°
Angle C
c² = a² + b² - 2ab × Cos C
Cos C = a² + b² - c²/2ab
C = Arc cos ( a² + b² - c²/2ab)
C = Arc cos ( 13.2² + 17.7² - 22.1²/2 × 13.2 × 17.7)
C = 90.1079°
≈ to the nearest tenth = 90.1°
What's the numerator for the following rational
expression?
Answer:
x + 3
Step-by-step explanation:
Since the fractions have the same denominator we can add them. Adding them gives us (x + 3) / y so the numerator is x + 3.
Answer:
x + 3
Step-by-step explanation:
Trig work i don’t understand. pls help
Answer: A
Step-by-step explanation:
So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.
To find H we need to apply trigonometry solve for h the height.
As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is going to be using the sin formula opposite over hypotenuse.
[tex]sin(26)=\frac{h}{25}[/tex] solve for h by multiplying both sides by 25.
h= 25 sin(26)
h= 10.96 is being rounded to the nearest hundredth because that is essential
Now we know H is equal to 10.96 which is the Height so now we have all the information we need the height and the base.
Multiply 10.96 by 32 and divide it by 2.
10.96 * 32 = 350.72
350.72 /2 = 176.36
The best answer is A because that is the only best approximation to 175.35.
Pls help ASAP! Given a polynomial f(x), if (x − 1) is a factor, what else must be true? f(0)= 1 f(1)=0 f(-1)=0 f(0)=-1
Answer:
f(1) = 0
Step-by-step explanation:
If you set x - 1 equal to 0 and solve, you get x = 1 when y is 0
Answer: x+1 plus the fator
Step-by-step explanation:
use the substitution method to solve the system of equations choose the correct ordered pair. 2x+2y=16 y=x-4
Answer:
(6, 2)
Step-by-step explanation:
Step 1: Substitute y in the 1st equation
2x + 2(x - 4) = 16
Step 2: Solve for x
2x + 2x - 8 = 16
4x - 8 = 16
4x = 24
x = 6
Step 3: Plug in x to find y
y = 6 - 4
y = 2
(show all your working out)
Madeeha’s father won £149
He shared the money between his three children in the ratio 6:3:1
Madeeha was given the biggest share.
a) Work out how much money Madeeha was given.
b) She saved of her share.
How much did she save?
Answer:
She received £89.4
and she saved £67.05
Step-by-step explanation:
The complete question is as follows;
Madeeha’s father won £149.
He shared the £149 between his three children in the ratio 6:3:1. Madeeha was given the biggest share.
(a) Work out how much money Madeeha received.
(b) Madeeha saved 3/4 of her share.
Work out how much Madeeha saved.
Answer;
The total ratio is 6 + 3 + 1 = 10
Since madeeha was given the biggest share, that means she is given 6 out of 10 portions
So the amount she was given would be ;
6/10 * 149 = £89.4
Now we were told she saved 3/4
Amount saved would be 3/4 * 89.4 = £67.05
What type of triangle has these side lengths
Answer:
Option (C)
Step-by-step explanation:
Given sides of a triangle are 2, [tex]\sqrt{12}[/tex] and [tex]\sqrt{19}[/tex].
Option (A).
If the triangle is a right triangle.
By Pythagoras theorem,
(Longest side)² = (Leg 1)² + (Leg 2)²
[tex](\sqrt{19})^2=2^2+(\sqrt{12})^2[/tex]
19 = 4 + 12
19 = 16
Not true.
Therefore, its not a right triangle.
Option (B).
If it is a triangle following conditions will be followed.
1). a + b > c
2). b + c > a
3). a + c > b
For the given sides of the triangle,
1). 2 + √12 > √19 [True]
2). 2 + √19 > √12 [True]
3). √12 + √19 > 2 [True]
Therefore, the given measures of the sides will form a triangle.
Option (C)
By Pythagorean inequality theorem,
If c² = a² + b² → Right triangle
If c² > a² + b² → Obtuse triangle
If c² < a² + b² → Acute triangle
Since, (√19)² > 2² + (√12)² → 19 > 4 + 12
Therefore, the given triangle is an Obtuse triangle.
Option (D).
Not true. It's an obtuse triangle.
Un número es tres veces otro número. La suma de sus recíprocos es 2/3. Determina los dos números.
Answer:
6 y 2
Step-by-step explanation:
x es el primer número, y es el segundo número.
Un número es tres veces otro número, entonces la ecuación 1 es:
x = 3y
La suma de sus recíprocos es 2/3, entonces la ecuación 2 es:
[tex]\frac{1}{x}+\frac{1}{y}=\frac{2}{3}[/tex]
Reemplazando la ecuación 1 en la 2 y resolviendo para y, nos queda:
[tex]\frac{1}{3y}+\frac{1}{y}=\frac{2}{3}\\\frac{4}{3y} =\frac{2}{3} \\4(3)=2(3y)\\12=6y\\y=2[/tex]
Reemplazando y en la ecuación 1, no queda:
x = 3(2) = 6
Por lo tanto, los dos números son 6 y 2
pls help meh.. Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 9)? The graph of y = f(x) will shift up 9 units. The graph of y = f(x) will shift down 9 units. The graph of y = f(x) will shift left 9 units. The graph of y = f(x) will shift right 9 units.
Answer:
B
Step-by-step explanation:
Answer:The answer is B
Step-by-step explanation:
Can someone help me with this question please.
Answer: The length of PQ is 37 KM
Step-by-step explanation:
(x+15) + 3(x+15)+ x=245
distribute
(x+15) + 3x+45+x
remove parenthesis
x + 15 + 3x + 45 + x
Add like terms
5x + 60 = 245
Subtract 60 from both sides
5x + 60 - 60 = 245 - 60
5x = 185
divide by 5
x = 37
<!> Brainliest is appreciated! <!>
What is the y-value in the solution to this system of linear equations?
4x + 5y = -12
-2x + 3y = -16. -4
-2
2
5
Answer:
I tried this and I found that the y-value here is -4
Answer:
-4/A
Step-by-step explanation:
Edge2020 Unit test prep
which one of the following is a type of face found on a platonic solid. A,regular hexagon, B. regular octagon, C.regular nonagon, D. regular pentagon
PLEASE NEED OF AN ANSWER
Answer:
B. regular octagon
I hope this will help you
which fraction has a repeating decimal expansion
Answer:
Fractions whose reduced form have denominators with factors other than 2, 5 will have repeating decimal expansions.
Step-by-step explanation:
The decimal expansion will terminate only if the fraction can be written an some numerator over a denominator that is a power of 10. hope this helps you :)