Answer:
600mStep-by-step explanation:
Distance traveled = speed*time taken
The total distance traveled around the tires is the circumference.
If the tire of a go-kart with circumference of 1m revolves 15 times per second, the speed of the go-kart will be 1*15 = 15m/s
Given the time taken by the go-kart to travel round to be 40 seconds;
Distance traveled by the go-kart = 15*40 = 600m
Graphic T's has an annual payroll of $525,000. What is the FICA for Graphic
T's?
Answer:
40162.50
Step-by-step explanation:
Which of the following proves ALMN= AOPQ?
Answer:
Step-by-step explanation:
From the figure attached,
Given : LM ≅ OP
PQ ≅ MN
NL ≅ QO
To Prove : ΔLMN ≅ ΔOPQ
In the triangles LMN and OPQ,
Statements Reasons
1). LM ≅ OP 1). Given
2). PQ ≅ MN 2). Given
3). NL ≅ QO 3). Given
4). ΔLMN ≅ ΔOPQ 4). By SSS property of congruence
PLEASE HELP ASAP WILL GIVE BRAINLIEST The weight of a box of cereal can vary by one fourth of an ounce and still be sold as a full box. Each box is supposed to contain 18 ounces of cereal. Which graph represents the possible weights of boxes that are overfilled or underfilled and cannot be sold as full boxes?
Answer:
The third option
Step-by-step explanation:
Answer:
It is number 1 because they are asking for over or under 18
Step-by-step explanation:
Hope this helps!
PLEASE HELP IMAGE ATTACHED!!
Answer:
Step-by-step explanation:
Parallel lines have same slope
19) y = x - 4
m = 1 ; (2, 3 )
Equation: y - y₁ = m(x- x₁)
y - 3 = 1(x - 2)
y - 3 = x -2
y = x - 2 + 3
y = x + 1
20) 2x + 3y = 3
We have to write in y = mx + b form
3y = - 2x - 3
[tex]y=\frac{-2}{3}x-\frac{3}{3}\\\\y=\frac{-2}{3}x-1\\\\m=\frac{-2}{3}[/tex]; (-6, -1)
[tex]y-[-1]=\frac{-2}{3}(x-[-6])\\\\y+1=\frac{-2}{3}(x+6)\\\\y+1=\frac{-2}{3}x+\frac{-2}{3}*6\\\\y+1=\frac{-2}{3}x-4\\\\y=\frac{-2}{3}x-4-1\\\\y=\frac{-2}{3}x-5[/tex]
for perpendicular lines, m2 = -1/m1
21) y = 2x+ 5
m1 = 2
[tex]m_{2}=\frac{-1}{2}[/tex]; (-2,8)
[tex]y-8=\frac{-1}{2}(x-[-2])\\\\y-8=\frac{-1}{2}(x+2)\\\\y-8=\frac{-1}{2}x+2*\frac{-1}{2}\\\\y-8=\frac{-1}{2}x-1\\\\y=\frac{-1}{2}x-1+8\\\\y=\frac{-1}{2}x+7[/tex]
22) x+ 4y = 8
4y = -x + 8
[tex]y=\frac{-1}{4}x+\frac{8}{4}\\\\y=\frac{-1}{4}x+2\\\\m_1=\frac{-1}{4}\\\\m_{2}=4\\\\[/tex]
m2 = 4; (-2,-11)
y - [-11] = 4(x -[-2])
y + 11 = 4 (x + 2)
y + 11 = 4x + 8
y = 4x + 8 - 11
y = 4x - 3
If f(x) = x and g(x) = 2x + 7, what is g(x)
when x = -6?
Answer:
g(-6) = -5
Step-by-step explanation:
g(x) = 2x + 7
Let x = -6
g(-6) = 2(-6) +7
= -12 +7
= -5
Answer:
-5
Step-by-step explanation:
g(x) = 2x + 7
Put x as -6.
g(-6) = 2(-6) + 7
g(-6) = -12 + 7
g(-6) = -5
Can somebody help me with this question ?? :)
Answer:
x = 44°
Step-by-step explanation:
Since this is an isosceles triangle, the other angle that isn't defined is also 68°. So, since all the angles add up to 180°,
x + 68(2) = 180
x + 136 = 180
x = 44°
Answer:
44 is the answer
Step-by-step explanation:
Jose has a family of 4. Is it more reasonable for Jose to purchase 3 pounds of potatoes for his family’s meal tonight or 13 pounds of potatoes?
Answer:
3
Step-by-step explanation:
20 points help babes!!!!!
Answer:
Brainliest if correct!
Step-by-step explanation:
6561
9^4
the first one!!!
The square root of the difference between a number and 10 Can someone please help me I’m stuck!
Answer:
i think its n-5
Step-by-step explanation:
hope this helps any
Answer:
√[n - 10]
Step-by-step explanation:
Write this: √[n - 10]
PLEASE HELP I DONT KNOW WHAT TO DO !! I APPRECIATE IT IF YOU HELP ME !
Answer:
x = ±20
Step-by-step explanation:
x^2 -1=399
Add 1 to each side
x^2 = 399+1
x^2 = 400
Take the square root of each side
sqrt(x^2) = ±sqrt(400)
x = ±20
What is the equation of the graph line with in standard form X=-3Y =-3X +Y=-3X-Y= -3
Answer:6
Step-by-step explanation:
Simple question
In the circle above
P is the center
.
What is the value, in degrees, of 0?
____degrees
Answer:
[tex]\theta=45^\circ[/tex]
Step-by-step explanation:
P is the centre of the circle and:
[tex]\angle P=90^\circ[/tex]
Angle [tex]\theta[/tex] is the angle subtended by the same arc as P at the circumference.
By the Inscribed Angle Theorem, we know that angle subtended by an arc at the centre is twice the angle subtended by the same arc at the circumference.
Therefore:
[tex]\angle P =2\theta\\2\theta=90^\circ\\\theta=90^\circ \div 2\\\theta=45^\circ[/tex]
Manuel need to say more than $75 for a class trip. he already has $24 and will save an equal amount each week for the next 6 weeks. Which any quality can be used to determine how much money Manuel should save each week?
Answer:
the answer is D!
Step-by-step explanation:
I took that quiz :)
Set up the problem, but use a calculator to find the number of outcomes for the permutation. Eight horses run a race. In how many ways can the first three finishers turn out?
Explanation:
Label the slots A,B,C for first through third place.
There are 8 choices for slot A, 7 for slot B, and 6 for slot C. We start with 8 and count our way down until we get to the final slot. Then we multiply out those values
8*7*6 = 336
There are 336 ways to select three people from a pool of eight overall.
-----------------
If you want to use the permutation formula, then your steps might look like this
[tex]_n P _r = \frac{n!}{(n-r)!}\\\\_8 P _3 = \frac{8!}{(8-3)!}\\\\_8 P _3 = \frac{8!}{5!}\\\\_8 P _3 = \frac{8*7*6*5!}{5!}\\\\_8 P _3 = 8*7*6\\\\_8 P _3 = 336\\\\[/tex]
Note how the 5! terms cancel out on the second to last step, leaving behind the expression 8*7*6 which was found earlier.
0.0995 rounded to 3 decimal places
Answer:
0.100
Step-by-step explanation:
0.0995 has 4 decimal places
5>4 so round up
9 turns to 10, the 1 is "added on" to the number ahead
9 turns to 10 again, the 1 is "added on" to the number ahead
0 turns to 1
you are left with 0.100
Answer:
0.100
Step-by-step explanation:
Three decimal places: 0. 0 / 9 / 9 / 5
Rounding number: 0. 0 / 9 / 9 / 5
Since it is 5, add 1 to the second 9. This will result to 0 while adding 1 to the first 9. Again, this would result to 10 which will add 1 to the next number, 0.
0.1000
Since the question wants you to round three places, you were not told to remove the zeros in those decimal places. So only remove the last 0.
0.100 is the answer
Find the constant of variation k for the direct variation.
A . K = -2
B . K = 2
C . K = -0.5
D . K= -1.5
Answer:
K = -2
Step-by-step explanation:
If y varies directly as x, k (constant) can be found by dividing the y-coordinate by the x-coordinate.
[tex]k = \frac{2}{-1} = -2[/tex]
Answer:
B
Step by step explanation
URGENT !!! I have homework due in 2 hours and I need help
Answer: it's in the photo below
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. Draw the possibility diagram of the product of the two numbers appearing on the die in each throw Use the possibility diagram to calculate the probability that the product of the two numbers is A prime number Not a perfect square A multiple of 5 Less than or equal to 21 Divisible by 4 or 6
Answer:
(a)See below
(b)I) 0.125 (ii)0.828125 (iii)0.234375 (iv) 0.625 (v)0.65625
Step-by-step explanation:
When an 8-sided die is rolled twice, the sample space is the set of all possible pairs (a,b) where a is the 1st outcome and b is the 2nd outcome.
The sample space is:
[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]
PART A
The sample space of the product a*b of each pair forms the required possibility diagram.
This is given as:
[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]
PART B
I) A prime number
The number of products that gives prime numbers = 8
The probability that the product is a prime number
[tex]=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125[/tex]
ii) Not a perfect square
Number of products that results in perfect squares =11
The probability that the product is not a perfect square
[tex]=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125[/tex]
iii) A multiple of 5
Number of products that are multiples of 5=15
The probability that the product is a multiple of 5
[tex]=\dfrac{15}{64}\\=0.234375[/tex]
iv) Less than or equal to 21
Number of products which are less than or equal to 21=40
The probability that the product less than or equal to 21
[tex]=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625[/tex]
v) Divisible by 4 or 6
Number of products divisible by 4 or 6= 42
The probability that the product is divisible by 4 or 6
[tex]=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625[/tex]
1) 2a × 2b 2) 3a × 2b × 2a 3) 2a × 4b × b 4) 3b × 2a × b 5) 3a × 2b × 2c 6) 2a × 3b × b × c 7) a × 4b × 2a × 2c 8) 3a × 3b × 3c
Step-by-step explanation:
1) = 4ab
2) 12a2b
3) 8ab2
4) 6ab2
5) 12abc
6) 6ab2c
7) 16a2bc
8) 27abc
Question 9 - (3 marks available)
By rounding to 1 significant figure, estimate the answers to these questions:
a) 17 * 82
b) 54 x 671
c) 207 x 643
Answer: a) 1,600
b) 35,000
c) 120,000
Step-by-step explanation:
First, round each number to one significant digit (the first digit).
Then multiply them.
a) 17 --> rounds to 20
82 --> rounds to 80
20 x 80 = 2 x 8 with two zeros
= 1 6 0 0
b) 54 --> rounds to 50
671 --> rounds to 700
50 x 700 = 5 x 7 with three zeros
= 3 5 0 0 0
c) 207 --> rounds to 200
643 --> rounds to 600
200 x 600 = 2 x 6 with four zeros
= 1 2 0 0 0 0
Solve for x
12:15 = x 5
36
060
Answer:
x = 12:15=×5
36
060
Step-by-step explanation:
12:15=0
x=0
Answer:
4
Step-by-step explanation:
Divide the left side by 3
12:15
12/3 : 15/3
4:5
x would be 4
Which of the binomials below is a factor of this trinomial X^2+2x-35
Answer:
A.x+1
Step-by-step explanation:
what is the measure of
Answer:
the measure of this is
Step-by-step explanation:
cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese
Yvette graphs the equivalent ratios shown in the table. Pineapples 1 2 3 4 Oranges 5 10 15 20 Yvette graphs is (10, 2), which other ordered pair will she graph? (2, 1) (3, 15) (15, 20) (20, 4) helpppppppppppppppp meeeeeee
Answer:
Yvette plotted (10, 2) because for 10 oranges you have 2 pineapples. Similarly, she would plot (20, 4) for the same reason.
Answer:
20,4
Step-by-step explanation:
edge
An experimental population of fruit flies increases according to the law of exponential growth. There were 60 flies after the 2nd day of the experiment and 360 flies after the fourth day. How many flies were there in the original population?
Answer:
There were 10 flies originally
Step-by-step explanation:
Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;
V = I(1+r)^d
where V is the number of flies on a particular day
I is the initial number of flies
r is the constant increase in percentage
and d is the number of days.
So we have for the second day;
60 = I(1+r)^2 ••••••(i)
For the fourth day, we have;
360 = I(1+r)^4 ••••••••(ii)
divide equation ii by i; we have;
360/60 = (1+r)^4/(1+r)^2
6 = (1+r)^2
(√6)^2 = (1+r)^2
1 + r = √6
r = √6 - 1
So we can substitute the value of r in any of the equations to get I which is the initial number of flies
Let’s use equation 1
60 = I(1 + r)^2
60 = I(1 + √6 -1)^2
60 = I(√6)^2
60 = 6I
I = 60/6
I = 10 flies
5776 students are sitting in an auditorium in such a manner that there are as many as
students in a row as there are rows in the auditorium.. How many rows are there in the
auditorium?(76)
Answer:
Hope it will helpful.Follow for more answers.
20 point question in attached filePLEASE HELP! I have less than 20 minutes left to answer
Answer:
Part A: (C) 16 square inches
Part B: (C) 36 square inches
Solve for d.
4d – 4 = 5d - 8
Answer:
d = 4
Step-by-step explanation:
4d - 4 = 5d - 8
Add -5d and 4 on both sides.
4d - 5d = - 8 + 4
- 1d = - 4
Divide -1 into both sides.
d = -4/-1
d = 4
Find the range of value of x for which: x-3/x+3>0
answer x>1/2 (sqrt(21) - 3)
x>0.791288
A pizzeria makes pizzas in different sizes and with different toppings. The pizzeria wants its customers to have 12 options when they create a pizza. Which combination of size and toppings will give customers 12 options? Select three options.
Answer:
4 sizes and 3 toppings = 12 combinations
2 sizes and 6 toppings = 12 combinations
3 sizes and 4 toppings = 12 combinations
Step-by-step explanation:
In this case so that customers have 12 options, what we must do is decompose the number, that is, look for two numbers that when multiplied give 12 as the result, for example:
4 sizes and 3 toppings = 12 combinations
2 sizes and 6 toppings = 12 combinations
3 sizes and 4 toppings = 12 combinations
Answer:
A, D, E!!!
Step-by-step explanation: