Answer:
Left side simplifies to (-2/3)^1 and the right side simplifies to (-2/3)^(-n) which means 1 = -n so n = -1.
Use the fishbowl to answer the following question.
a. How many fish are there in the bowl? fish.
b. Which color fish has the highest probability of being fished?
c. What is the probability of choosing this color?
Fraction
Decimal (provide the first 5 decimal numbers & yes round the number)
Percent % (round to the nearest tenth)
Answer:
a) 14
b) green
c) fraction 6/14
percentage: 42.8% rounded: 40%
not sure about the decimal tho
Answer:
a) 14
b) green
c) 6/14
d)percent 42.8 %
round up 40 %
The nth term of an arithmetic progression is 2n+1 , the sum of 1st n terms of the Arithmetic progression is..
Answer:
First tale nth term and find relation of a , d, n
Try yourself
Stephanie just redecorated her bedroom. She wants to paint her door green but needs to know the surface area
of the door to see if she has enough paint.
80 cm
1
200 cm
3 cm
What is the surface area of the door?
Answer:
please give more clarification
Answer:
33680
Step-by-step explanation:
X2=
a. 48
b. 16
c. 12
Answer:
16
Step-by-step explanation:
x^2 = whole * part
x^2 = (6+2) * 2
x^2 = 8*2
x^2 = 16
Answer:
16
Step-by-step explanation:
Hope this helps.
If you find answers that say 48 for this same problem, they are incorrect. Please disregard them.
Divide (10x^3 + 19x^2 + x - 7) by (5x + 2)
Answer:
2x² + 3x - 1 - 5/(5x +2)
Step-by-step explanation:
2x² + 3x - 1
__________________
5x + 2 | 10x³ + 19x² + x - 7
| -10x³ - 4x²
| 15x² + x
| - 15x² - 6x
| - 5x - 7
| 5x +2
| - 5
2x² + 3x - 1 - 5/(5x +2)
What is the greatest decimal place value?
Answer:
the digit farthest to the left
Answer:
The digit farthest to the left.
Step-by-step explanation:
I hope this helps
Use factoring to solve
2x^2-17x-35=0
Answer:
This does not factor
Step-by-step explanation:
2x^2-17x-35=0
Since the x^2 has a coefficient of 2
(2x ) ( x )
Looking at the factors of -35
-1 35 1, -35
-5 7 5, -7
We need to get to -17
You cannot factor this
-
Part 3. Identify the X intercepts for
y = (x+4)^2-9
Answer:
x = -1 or x = -7
Step-by-step explanation:
y = (x + 4)^2 - 9
To find x-intercept, set y = 0
=> (x + 4)^2 - 9 = 0
=> ( x + 1)( x + 7) = 0
=> x = -1 or x = -7
To find the x intercepts, plug in y = 0 and solve for x
y = (x+4)^2 - 9
0 = (x+4)^2 - 9 ... replace y with 0
9 = (x+4)^2
(x+4)^2 = 9
x+4 = plus/minus sqrt(9)
x+4 = sqrt(9) or x+4 = -sqrt(9)
x+4 = 3 or x+4 = -3
x = 3-4 or x = -3-4
x = -1 or x = -7 You have the correct answers. Nice work.-----------------------------------------------------------------
Checking each answer:
Plug x = -1 into the original equation. You should get y = 0 as a result
y = (x+4)^2 - 9
y = (-1+4)^2 - 9
y = (3)^2 - 9
y = 9-9
y = 0 .... so this confirms x = -1 as a solution
The same should apply for the other potential solution x = -7
y = (x+4)^2 - 9
y = (-7+4)^2 - 9
y = (-3)^2 - 9
y = 9-9
y = 0 .... this confirms x = -7 as well
How much would $100 invested at 6% interest compounded monthly be worth after 20 years? Round to the nearest cent.
Answer:$331.02
Step-by-step explanation:
you got it right on a p e x
At the end of the first round of a game, Luis has a score of -5 points. At the end of the second round, he has a score of 3 points. How many points did he score in the second round? Complete this model to represent the problem: score at the end + = ? of the first round
Which of the following represents a function?
Answer: C, a set of coords is only a function if it passes the vertical line test
Step-by-step explanation:
This is essentially the vertical line test. No two sets can have the same x value because it will fail the vertical line test. In answer a, -4 correlates to two y values. It fails the line test
B easily fails the test just by visually looking at it. It fails the line test
C has different x values so this looks promising. It passes the line test
D has the number 5 correlating with multiple y values. It fails the line test
Please help someone help me! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
John’s garden has an area of 28 square feet. The rectangular garden is 7 feet long. What is the width of the garden
Answer:
the width is 4
Step-by-step explanation:
7 times 4= 28
or
28 divided by 7
HELP! ITS ABOUT SURVEYSSS EXPLANATION NEEDED
Answer:
B is the correct answer (Check the explanation below)
Step-by-step explanation:
Probability of boys who do play = 1593/2451 = 0.6499 or 64.99% (if you times by 100 to change to percentage)
Probability of boys who do not play =858/2451 = 0.35 or 35%
Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%
Probability of girls who do not play = 1635/2996 = 0.5457 or 54.57%
Probability of boys and girls who play = 2954/5447 = 0.5423 or 54.23%
Probability of boys and girls who do not play = 2493/5447 =0.4577 or 45.77%
you can see the correct statement is
Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%
total number of girls is 2996 and we found out almost 54% do not play and almost 45% play
Help me
-ayyyyy
Idk I’m just having fun
Answer:
Step-by-step explanation:
A
Answer:
i think its A happy to help ya :)
Step-by-step explanation:
What is the value of b in the equation b + 8 = 13? a 5 b 8 c 13 d 21
Answer:
a
Step-by-step explanation:
b+8=13.
first,you have to make b the subject of the formula (stand alone) and for that to happen +8 will have to cross the equality sign.when a positive sign crosses over the equality sign it changes to a negative sign.
so that would be b=13-8
Therefore,b=5(a)
4n − m + 3p + 2m − n − p
Answer:
3n+m+2p
Step-by-step explanation:
group all like terms and solve.
so,
4n-n = 3n
-m + 2m = m
3p - p = 2p
Then, group them together: 3n+m+2p
If f(x)= x2 + 7; Find x if f(x)= 23
Answer:
x = 4, -4
Step-by-step explanation:
f(x)= x^2 + 7
f(x) =23
23 = x^2+7
Subtract 7 from each side
23-7 = x^2 +7-7
16 = x^2
Take the square root of each side
±sqrt(16) = sqrt(x^2)
±4 = x
A student was given 32 problems he did 1/4 of them on monday and 1/2 of them on tuesday. find the unsolved problem.. PLEASE HELP
Answer:
8 problems
Step-by-step explanation:
32 - 32*1/4 - 32*1/2= 32 - 8 - 16= 8 problems
Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent.
Answer:
62.5 %
Step-by-step explanation:
Take the original amount and subtract the new amount
32-12 = 20
Divide by the original amount
20/32 =.625
Multiply by 100 to get to percent form
62.5 %
The point (2,9) lies on a circle and the center of the circle is at the point (2,1). What is the equation of this circle? A. (x - 2)2 - (y - 1)2 = 64 B. (x - 2)2 + (y - 1)2 = 64 C. (x + 2)2 + (y + 1)2 = 64 D. (x - 1)2 - (y - 2)2 = 8
Answer:
B:(x-2)^2+(y-1)^2=64
Step-by-step explanation:
center is (2,1), point is (2,9)
so the radius=9-1=8
(x-2)^2+(y-1)^2=64
The distance between Joshua's home and school is 800 m. Joshua takes 5 min to walk
the first 100 m to a Convenient Store nearby. He would spend 10 min in the store to
complete his purchase. Finally, he takes another 20 min to reach school. What is his
average speed in m/s?
Answer:
= 0.38 m/s
Step-by-step explanation:
▪Total distance = 800 m
5 min = 100 m
▪Remaining distance = 800 - 100 = 700 m
20 min = 700 m
▪Total time taken = 20 + 10 + 5 = 35 min
If 1 min = 60 sec
What about 35 min = ?
= 35 x 60
= 2100 sec
▪Average speed = TD ÷ TT
= 800 ÷ 2100
= 0.38 m/s
Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; t que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche, 1kg de jamon serrano y 3 litros de aceite de oliva
Answer:
1 litro de leche cuesta 2.5
1 kg de jamón serrano cuesta 35
1 litro de aceite de oliva cuesta 7,5
Step-by-step explanation:
Pregunta correcta completa
Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva. Calcule el precio de cada artículo.
Solución
Deje que el precio de un litro de leche, un kilogramo de jamón serrano y un litro de aceite de oliva sea x, y y z respectivamente.
16 litros de leche, 4 kg de hamon serrano y 8 litros de aceite de oliva cuestan 240
16x + 4y + 8z = 240 (ecuación 1)
1 litro de aceite cuesta el triple de 1 litro de leche
z = 3x (ecuación 2)
Y ese 1 kg de jamón cuesta lo mismo que el cliente tendría que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva.
y = 5x + 3z (ecuación 3)
Sustituyendo las ecuaciones 2 y 3 en la ecuación 1
16x + 4(5x + 3z) + 8(3x) = 240
16x + 20x + 12z + 24x = 240
Recordemos que z = 3x
36x + 12(3x) + 24x = 240
36x + 36x + 24x = 240
96x = 240
x = (240/96) = 2.5
z = 3x = 3 × 2.5 = 7.5
y = 5x + 3z = (5×2.5) + (3×7.5) = 35
English Translation
A supermarket customer has paid a total of 240 for 16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil. Knowing that 1 liter of oil costs the tripe of 1 liter of milk; t that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil. Calculate the price of each item.
Solution
Let the price of a liter of milk, a kilogram of Serrano ham and a liter of olive oil be x, y and z respectively.
16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil cost 240
16x + 4y + 8z = 240 (eqn 1)
1 liter of oil costs the triple of 1 liter of milk
z = 3x (eqn 2)
And that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil
y = 5x + 3z (eqn 3)
Substituting eqn 2 and 3 into eqn 1
16x + 4(5x + 3z) + 8(3x) = 240
16x + 20x + 12z + 24x = 240
Recall that z = 3x
36x + 12(3x) + 24x = 240
36x + 36x + 24x = 240
96x = 240
x = (240/96) = 2.5
z = 3x = 3 × 2.5 = 7.5
y = 5x + 3z = (5×2.5) + (3×7.5) = 35
1 liter of milk costs 2.5
1 kg of Serrano ham costs 35
1 liter of olive oil costs 7.5
Hope this Helps!!!
Which of the following r one dimensional figures?
check all that apply.
a. ray
b. angle
c. square
d. point
e. segment
f. line
Answer:
a. ray
e. segment
f. line
Step-by-step explanation:
Info on dimensions:
A Point has no dimensions A Line is one-dimensional A Plane is two dimensionalA Solid is three-dimensionalLet's see number of dimensions of figures:
a. ray
One dimensionb. angle
Two dimensionsc. square
Two dimensionsd. point
Zero dimensione. segment
One dimensionf. line
One dimensionFind the gradient of the line segment between the points (0,2) and (2,-8).
Answer:
slope = - 5
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 ) = (0, 2) and (x₂, y₂ ) = (2, - 8)
m = [tex]\frac{-8-2}{2-0}[/tex] = [tex]\frac{-10}{2}[/tex] = - 5
The value of the gradient is -1/5.
How to find the gradient of a line?In order to find the gradient of a line either of the two ways can be used. First, the equation of line should be written in terms of y, then the coefficient of x is the gradient.
The other method is to find the two points on the graph and then take the ratio of the difference of corresponding coordinates.
The given points are (0,2) and (2,-8).
Since the gradient of the line segment between points (x₁, y₁) and (x₂, y₂) is given as,
Gradient = (y₂-y₁)/(x₂-x₁)
Substitute the corresponding values to obtain,
Gradient = (2-0)/(-8-2)
= -2/10
= -1/5
Hence, the gradient of the line segment joining the points (0,2) and (2,-8) is -1/5.
To know more about gradient click on,
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Share £90 in the ratio 1:5
HELP ME PLEASE
Answer:
the answer is 15:75
Step-by-step explanation:
(1+5)=6
£90/6=15
So, (1×15):(5×15)
=15:75
some teachers travelled to school by car the table shows the number of teachers in the cars a)what was the modal number of teachers in the cars b) what was the median number of teachers in the cars c) what was the mean number of teachers in the cars
Answer:
WE need the numbers
Step-by-step explanation:
a
Answer:
a)3
b)3
c)?
Step-by-step explanation:
A jet flies from New York to Los Angeles , a distance of 2,450 miles, and then flies back. The speed from NY to LA was 140 mph faster than the speed from LA to NYIf the total time in the air was 12 hours, what was the jet's speed from NY to LA?
Answer:
Speed from NY to LA is 172 mph
Step-by-step explanation:
Let the jet’s speed from NY to LA be x mph.The speed form NY to LA would be (x-140) mph
Mathematically, we know that distance = speed * time
The total speed will x + x -140 = 2x-140
Now;
12(2x-140) = 2450
24x - 1680 = 2450
24x = 2450 + 1680
24x = 4130
x = 4130/24
x = 172.1 which is approximately 172 mph
Given the equation below what is the value of y-x?
3x+4=-5y+8
9x+11y=-8
Answer:
[tex]-5[/tex]
Step-by-step explanation:
[tex]3x+4=-5y+8\\9x+11y=-8[/tex]
Rearrange the first equation and substitute it into the second equation.
[tex]3x=-5y+8-4\\3x=-5y-4[/tex]
(as we want 9x instead of 3x we are going to multiply this equation by 3)
[tex]9x=-15y-12\\-15y-12+11y=-8\\-4y=4\\y=-1[/tex]
Rearrange the first equation and substitute in our y value to solve for x.
[tex]3x+4=-5(-1)+8\\3x=5+8-4\\3x=9\\x=3[/tex]
Hence
[tex]y-x=-1-4=-5[/tex]
3.
Which of the following points lie on the x-axis?
(A) (3,4)
(B) (7,0)
(C) (0,8)
(D) (-9,0)
(F) (-3,-5)
Answer:
D and B is the answer
Step-by-step explanation:
Here is a graph with the points
