Answer:
x + 2
Step-by-step explanation:
[tex]\frac{5x+10}{x^2 -x-6}[/tex] = [tex]\frac{5(x+2)}{(x-3)(x+2)}[/tex]
GCF ( 5x + 10, x² - x - 6) = x + 2
Step-by-step explanation:
5(x+2)/(x+2)(x-3)= 5/(x-3)
GCF: x+2
Find the volume of this object.
Use 3 for it.
Volume of a Cylinder
V= Tr2h
Volume of a Cone
V= Tr?
3
8 in
4 in
13 in
V~ [?]in3
We are required to find the volume of the object which comprises of a cylinder and a cone
The volume of the object is 108 in³
Volume of a cylinder = πr²h
π = 3
r = diameter / 2 = 4 in / 2 = 2 in
h = 8 in
Volume of a cylinder = πr²h
= 3 × (2 in)² × 8 in
= 3 × 4 in² × 8 in
= 96 in³
Volume of a cone = πr²h/3
= (3 × (2 in)² × 3 in) / 3
= (3 × 4 in² × 3 in) / 3
= 36 in³ / 3
= 12 in³
The volume of the object can be found by adding the volume of the cylinder and the volume of the cone
Total volume = Volume of a cylinder + Volume of a cone
= 96 in³ + 12 in³
= 108 in³
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The drama club sells sweatshirts for $9 dollars each to raise money for their club.
Answer the questions below .
Answer:
m=9n
Step-by-step explanation:
Linear equation, straight forward m=3n. Highlighted point is n=3 and m=9*3=27
The equation for the total money raised will be m = 9n.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the drama club sells sweatshirts for $9 dollars each to raise money for their club.
From the table:-
The number of Sweatshirts Money raised
1 9
3 27
4 36
The equation will be written as:-
m = 9n
m = 9 x 1 = 9
m = 9 x 3 = 27
m = 9 x 4 = 36
Therefore, the equation for the total money raised will be m = 9n.
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at 1 pm, you start out on your bike at 12 mph to meet a friend who lives 8 miles away. at the same time, the friend starts walking toward you at 4 mph. at what time will you meet your friend?
Answer: 1:30 PM
It takes 30 minutes
==========================================================
Explanation:
x = number of hours traveled
We'll use the equation
distance = rate*time
You bike at a rate of 12 mph and do so for x hours. That means you travel 12x miles based on the equation above. Your friend travels 4x miles for similar reasoning. Overall, the two of you travel a combined distance of 12x+4x = 16x miles. This combined distance is set equal to the 8 miles (distance between your houses) and you solve for x.
16x = 8
x = 8/16
x = 1/2
x = 0.5
Recall x is the number of hours, so that means it takes 1/2 an hour for the two of you to meet. This is equivalent to 30 minutes since 1/2*60 = 30.
If all of this starts at 1 PM, then you'll meet up at 1:30 PM since we add on 30 minutes to 1 PM to get to this moment in time.
------------------
Extra info:
You travel 12x = 12*0.5 = 6 miles
Your friend travels 4x = 4*0.5 = 2 miles
Total distance = you+friend = 6+2 = 8 miles
This helps confirm the answer.
Please help explanation if possible
Answer:
Step-by-step explanation:
The equation for the direct variation is, for us (using f and m instead of y and x):
f = km, where k is the constant of proportionality. We need to solve for this first using the first set of given values:
-19 = k(14) so
[tex]k=-\frac{19}{14}[/tex] Now plug that in with second set of givens, namely to find f when m is 2:
[tex]f=(-\frac{19}{14})(2)[/tex] and
[tex]f=-\frac{19}{7}[/tex]
Decide which kind of change(s) is/are illustrated in each equation
(meaning changed from "regular" y=sinx or y=cosx)
→ Note: more than once choice may be circled per question.
Phase shift and period change
Rewriting the equation:
y = cos ( 2 ( x - 2 ) )
Phase shift 2 units to the right
Period changed to 2pi/2 = pi
Jayden travels 13/18 feet in 9/26 seconds. Find the speed of Jayden in feet per second.
Answer:
Speed = 2 7/81 feet per second
Step-by-step explanation:
Distance travelled = 13/18 feet
Time taken = 9/26 seconds
Find the speed of Jayden in feet per second.
Speed = Distance travelled / Time taken
= 13/18 ÷ 9/26
= 13/18 × 26/9
= (13 * 26) / (18 * 9)
= 338 / 162
= 2 14/162
= 2 7/81 feet per second
Speed = 2 7/81 feet per second
Jayden speed is 2 7/81 feet per second
ground of the following nearest tens and Place a 7639. b_4325671
Answer:
a)7640
b)4325670
Step-by-step explanation:
when rounding off a number one of the factors to consider is the number before the number you are supposed to round off,if the number is greater than 5 or equal to then you can go ahead and add a 1 to the number you have to round off.but if the number before is less than 5 you just have to leave the number the way it is.in this case for the first question you can see that the tens number is 3 and the number before is greater than 5 so you can add a 1 to the 3 to make it 4, bringing the answer to 7640 the 9 becames a zero..for the second one you can see that the number before the tens number is less than 5 so you can't add a 1 to it leaving the answer as 4325670..
I hope this helps
Kyrin picked 40 apples from the trees behind his house. Later, he gave two to each of his friends. He only has 8 remaining. How many friends does he have?
Answer:
kyrin had 16 friends
Step-by-step explanation:
40 - 2 (x) = 8 make x as friends
- 2x = 8 - 40
- 2x/ - 2 = - 32/ -2
x = 16
An item is regularly priced at $95. It is on sale for 85% off the regular price.
Answer:
14.25
Step-by-step explanation:
95*0.85=80.75
95-80.75=14.25
Answer:
The sale took $14.25 off the original price, so the item is currently $80.75 with the sale.
Find the cross product (7,9, 6)x 44, 1, 5). Is the resulting vector perpendicular to the given vectors?
a. (-57, 43, 33); yes
c. (33. – 59, - 57); no
b. (39, – 59,43), yes
d. (33, - 57, 49); no
Answer:
Option B, (39, -59, 43)
Answered by GAUTHMATH
HELPPPPPPPP!!!!!!!!!!!!!!!!!
find the lenght of the missing side:
Answer:
x=15.73292
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 70 = x / 46
46 cos 70 =x
x=15.73292
Answer:
15.73
Step-by-step explanation:
cos(x) = adjacent leg / hypotenuse
cos(70) = x / 46
0.342 = x / 46
0.342 x 46 = x
x = 15.73
e Reasons Y...
SIVARI Leaming su...
Solve for 2. Round to the nearest tenth, if necessary.
х
K
J
63°
I
PLS HELP
Answer:
x = .5
Step-by-step explanation:
Since we have a right triangle, we can use trig functions
tan theta = opp / adj
tan 63 = 1/x
x tan 63 = 1
x = 1/ tan 63
x=0.50952
Rounding to the nearest tenth
x = .5
name the property that the following statement illustrates 84+8=8+84
Answer:
the commutative property of addition :)
helpppp: write the rule that describes the composition of transformations
PLS HELP ME
Given that the universal set.
U = {X : 30 ≤ X ≤ 40. X is an even number}.
P = {X : X is a multiple of 4}
and Q = {X : X is a number such that the sum of its digits is an odd number}.
find n(P∩Q')
A. 1
B. 2
C. 3
D. None of the above
Given that
U = {X : 30 ≤ X ≤ 40. X is an even number}.
so Mathematically
U = {30,32,34,36,38 40}.
P = {X : X is a multiple of 4}
P = { 4,8,12,16,20,24,28,32,36,40,44,........}
and Q = {X : X is a number such that the sum of its digits is an odd number}.
Q = {12,14,16,18,21,23,25,27,29,30,32,34,36,38,41,43,45,..........}.
(Q')= U-Q ={40}
(P∩Q')= {40}
n(P∩Q')= 1
(Q') is Q complement which means a set containing those elements of the universal set which are not element of the set Q.
(P∩Q') is a set containing those elements of set P and Q complement which are common to both sets.
n(P∩Q') denotes the number of elements in a set containing those elements of set P and Q complement which are common to both sets which has only 1 element which is 40.
So the best answer is part A = 1.
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Which graph represents the function? f(x)=5√x
Step-by-step explanation:
Since the x is inside of the square root, the x value must be positive. This makes x {0,infinity). Yet, when square rooting x, you should have both a negative and a positive value for y. So, this should be your graph.
0.4 x 10 =....
1.25 x 10 =
97.465 x10 =
Answer:
0.4 × 10 = 4
1.25 × 10 = 12.5
97.465 × 10 = 974.65
Which of the following is an irrational number
o 18
o 2.6
o π
o -16/3
Answer:
pi
Step-by-step explanation:
A rational number can be written as a fraction
18/1 is a fraction
2.6666666 can be written as 2 2/3 = 8/3
-16/3 is a fraction
pi is a non repeating non termination decimal which is irrational
Answer:
The answer is π
Step-by-step explanation:
An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio.
You flip a coin and roll a six-sided die. What is the
probability of flipping heads and rolling a number greater
than or equal to 5?
Answer:
The probability of flipping heads is 1/2
The probability of rolling 5 or more is 1/3.
So the total probability is 1/2 x 1/3 , which is 1/6.
Let me know if this helps!
Answer:
1/6
Step-by-step explanation:
The probability of flipping heads is 1/2
The probability of rolling 5 or more is 1/3.
So the total probability is 1/2 x 1/3 , which is 1/6.
The difference of a number and 11
Answer:
x - 11
Step-by-step explanation:
"A number" is the same thing as a variable.
Answer:
x-11
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The data value that occurs most often in the data set is the ____________.
A. mean
B. median
C. mode
D. range
PLEASEE HELP ASAP........
Answer:
(C). 126
Step-by-step explanation:
[tex]\frac{45}{x}[/tex] = [tex]\frac{65}{182}[/tex]
x = 126
Answer:
Hello,
Answer C\\
Step-by-step explanation:
Triangle EUT is similar to triangle EGF
[tex]\dfrac{EU}{EG} =\dfrac{ET}{EF} \\\\\dfrac{140-90}{140} =\dfrac{45}{EF} \\\\\\EF=\dfrac{45*140}{50} \\\\\\RF=126\\\\Answer\ C\\[/tex]
Which expression is equivalent to….
Answer:
the answer is {2^5}
hope it helps :)
(2^1/2×2^3/4)^2
(2^(2/4+3/4))^2
(2^5/4)^2
2^(5/4×2)
2^(5/2)
√2^5
Answered by Gauthmath must click thanks and mark brainliest
Given the function g(x) = x2 + 10x + 18, determine the average rate of change of
the function over the interval -11 < x < -1.
Answer:
-2.
Step-by-step explanation:
Average rate of change of the function = [ f(-1) - f(-11)] / [(-1 - (-11)]
= [(-1)^2 + 10*-1 + 18 - ((-11)^2 + 10*-11 + 18)] / 10
= (1 - 10 + 18 - (121 - 110 + 18) / 10
= (9 - (29) /10
= -20/10
= -2.
Answer:
Step-by-step explanation:
The answer is +2 or 2.
You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level?
Answer:
There is not enough evidence to support the claim that drug is effective at 1%
Step-by-step explanation:
For this we use the pored test as we have dependent test;
Difference :
10,5,-5,3,-3,4,2,-3,0,10,8,-2,3,-2,5,5,4,0
Hypothesis :
H0 : μd = 0
H0 : μd ≠ 0
The mean of d, dbar = Σd / n = 44 / 18 = 2.44
The standard deviation, Sd = 4.45 (using calculator)
The test statistic, T : dbar / (Sd/√n)
T = 2.44 / (4.45/√18)
T = 2.44 / 1.0488750
T = 2.326
Degree of freedom, df = n - 1 ; 18 - 1 = 17
The Pvalue = 0.0326
α = 0.01
Since Pvalue < α ; we fail to reject H0
Jillian bought 3 pounds of apples for $3.09 per pound. she then bought 6 pounds of peanuts for $0.87 per pound. How much did Jillian spend all together?
Answer:
Jillian spent $14.49 altogether.
Step-by-step explanation:
Let a = pounds of apples, p = pounds of peanuts, and t = total cost
t = 3.09a + 0.87p
t = 3.09(3) + 0.87(6)
t = 9.27 + 5.22
t = 14.49
42 deliveries in 3 hours = deliveries per hour
Answer:
14 deliveries per hour
Step-by-step explanation:
42/3
14
The person makes 14 deliveries per hour
Answer:
14
Step-by-step explanation:
42 / 3 = 14
Is 6272 a perfect square? If not find the smallest number by which it must be divided so that the product becomes a perfect square.
Answer:
(2^7)*(7^2)
Step-by-step explanation:
2*2*2*2*2*2*2*7*7=6272where2 is the smallest number by which it becomes a perfect square
Samuel takes 5 hours to make a table and a chair. He takes 9 hours to make 3 chairs
and a table. How much time does he take to make a table?
Answer:
3 hours
Step-by-step explanation:
t = time to make a table
c = time to make a chair
t + c = 5
t+3c = 9
Subtract the second equation from the first
t+3c = 9
-(t + c = 5)
-----------------------
2c = 4
Divide by 2
2c/2 = 4/2
c =2
2 hours for the chair
t+c = 5
t+2 = 5
t = 5-2
t = 3hours
Answer:
It takes 3 hours to make a table.
Step-by-step explanation:
Table and chair : 5 hours
Table and 3 chairs : 9 hours
(Table and 3 chairs) - (Table and chair) = (2 chairs)
9 hours - 5 hours = 4 hours
2 chairs : 4 hours / 1 chair : 2 hours
Table and chair : 5 hours
Chair : 2 hours
Table: x hours
5 - 2 = 3
Table : 3 hours
