Answer:
area = 8 × 18 = 144 cm^2
volume 8×18×5 = 720cm^3
Afreen says, "I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers?
Answer:
The 3 ses that we found are:
{4, 5, 6}
{64, 65, 66}
{124, 125, 126}
Step-by-step explanation:
3 consecutive numbers are written as:
n, (n + 1), (n + 2)
We know that the first one is a multiple of 4.
Then n is a multiple of 4:
n = k*4
where k is an integer.
The second one is a multiple of 5, then:
(n + 1) = j*5
where j is an integer.
The last one is a multiple of 6.
(n + 2) = p*6
where p is an integer.
We want to find 3 sets.
The first one is trivial:
n = 4
n + 1 = 5
n + 2 = 6
4 is a multiple of 4
5 is a multiple of 5
6 is a multiple of 6.
Now let's find a set that is not trivial.
First, remember that all the multiples of 5 end with a 0 or a 5,
Then we can look for a value n, that is multiple of 4, and that has a last units digit equal to 4 (then the next one will have a units digit and will be multiple of 5)
For example, 4*6 = 24
24 is a multiple of 4.
The next number is 24 + 1 = 25, which is multiple of 5.
The next number is 25 + 1 = 26, which is not multiple of 6.
So let's try again.
4*11 = 44, is a multiple of 4.
The next number is 44 + 1 = 45
45 is a multiple of 5.
The next number is 45 + 1 = 46, which is not multiple of 6
So we need to try with another set.
4*16 = 64, is a multiple of 4.
The next number is 64 + 1 = 65, which is multiple of 5.
The next number is 66, which is multiple of 6:
6*11 = 66
Then the set:
n = 64
n + 1 = 65
n + 2 = 66
Is a possible set.
Now we can keep trying this, we can see that the next set has the numbers:
n = 4*31 = 124 is a multiple of 4.
The next number, is 124 + 1 = 125, which is a multiple of 5.
The next number is 125 + 1 = 126, which is multiple of 6
6*21 = 126
Then the set:
n = 124
n + 1 = 125
n + 2 = 126
Is another possible set.
The 3 ses that we found are:
{4, 5, 6}
{64, 65, 66}
{124, 125, 126}
Which rule is a recursive rule for the sequence 1,-6,36, -216
Answer:
3rd option
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
r = - 6 ÷ 1 = 36 ÷ - 6 = - 216 ÷ 36 = - 6
To obtain a term in the sequence multiply the previous term by - 6
Then the recursive rule is
[tex]a_{n}[/tex] = - 6 . [tex]a_{n-1}[/tex]
Answer: 1*6°=6
1*(-6)^1=-6
1*(-6)^2=36
1*(-6)^3=-216
Sage is 7 years older than Jonathan. If Jonathan is x years old, how old was Sage 10 years ago?
Answer:
(x-3) years
Step-by-step explanation:
We are given that
Age of Jonathan= x years
Sage is 7 years older than Jonathan
It means
Age of Sage=(x+7) years
We have to find the age of Sage 10 years ago.
10 Years ago,
Age of Jonathan=(x-10) years
Age of Sage=(x+7-10) years
Age of Sage=(x-3) years
Hence, 10 years ago, age of Sage =(x-3) years
write y=4x+3 in mapping notation
Answer:
y=7x
Step-by-step explanation:
because y= 4x+3=7x
A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$, and $\clubsuit$), such that there is exactly one card for any given rank and suit. Two of the suits ($\spadesuit$ and $\clubsuit$) are black and the other two suits ($\heartsuit$ and $\diamondsuit$) are red. The deck is randomly arranged. What is the probability that the top card is a 3 and the second card is an eight
Answer:
4 / 663
Step-by-step explanation:
Given that :
Number of cards in a standard deck = 52
Number of 3's in s standard deck = 4 (each suit has one card each)
Number of 8's in a standard deck = 4 (each suit has one card each)
Probability, P = required outcome / Total possible outcomes
Choosing without replacement :
P(top card is a 3) = 4 / 52
P(second draw is 8) = 4 / 51
P(top card is a 3 and second is 8) :.
4/52 * 4/51 = 16 / 2652 = 4 / 663
how many halves are in 2 whole objects
Question 2.
If 0 is an angle in the first quadrant, and cos(θ) = 0.669, determine the value of
cos(π - θ), cos(π + θ), and cos(4π - θ) using Symmetry.
Answer:
1) -0.669
2) -0.669
3) 0.669
Step-by-step explanation:
Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.
Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.
Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.
If theta=70:
1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.
2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.
3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.
Can someone help me with this math homework please!
Answer:
1.33 & n - 6 = 0.75(t - 8)
Explanation:
Speed can be calculated as miles ÷ minutes
4 ÷ 3 = 1.33 and 8 ÷ 6 = 1.33 as well
Since we know the n and t, we can substitute one into the equation to find the other (substitute t = 8 into all four equations and see do we get n = 6)
You can do this with t = 4 and n = 3 as well
Answer:
you are a great woman removing the sum o saare and pa and pa to the lord and your life to you for drawing the sum o the streets
Find the surface area and volume for each of the following:
Answer:
mark brainlist..............
Estimate the product of 32 and 19 ?
Answer:
608
Step-by-step explanation:
32 x 19
= 32 x ( 10 + 9 )
= 320 + 288
= 608
How does the formula for the sample mean differ from the formula for population mean? Multiple choice question. To calculate the sample mean, you divide by the sample number plus one. The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size). For sample mean, the sum of values is divided by the number of values minus one.
Answer:
The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size).
Step-by-step explanation:
The sample mean is the average value for a set of observations which is derived from a population. While the population mean is the average value for the entire set of observation belonging to a particular study of interest.
The set of observation belonging to a population is denoted by 'N' ; while the sample size is denoted as 'n' :
The mean formula is written thus :
Population mean = Σx / N
Sample mean = Σx / n
Where, x = set of values.
Amanda has six more than four times the number of crayons that Clyde has. (write the equation)
Answer:
y = 4x + 6Step-by-step explanation:
Clyde has x crayons.
Amanda has y crayons.
The equation:
y = 4x + 6The graph shows a line and two similar triangles.
On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.
Which expression finds the equation of the line?
StartFraction y Over x EndFraction = three-halves
StartFraction y Over x EndFraction = two-thirds
StartFraction y Over 2 EndFraction = StartFraction 3 Over x EndFraction
StartFraction y Over 3 EndFraction = StartFraction x Over 2 EndFraction
Answer: Choice B) [tex]\frac{y}{x} = \frac{2}{3}[/tex]
This is the same as saying y/x = 2/3
Or I suppose you could say "y over x = two-thirds".
===============================================
Explanation:
Recall that slope is rise over run
slope = rise/run
The rise being the change in y, while the run is the change in x.
So we could informally think of it as slope = y/x
-----------
Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.
The slope is both y/x and also 2/3.
Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.
-----------
Side notes:
This trick only works when the line goes through the origin (0,0)To rephrase the last bullet point, the line must have y intercept 0.If you multiplied both sides by x, then you get y = (2/3)xAnswer:
B
Step-by-step explanation:
(-_-)
WILL GIVE BRANLIEST AND BE SOOO HAPPY PLEASE HELP!!! 30 POINTS SHARE YOUR SMARTNESS!!
Step-by-step explanation:
For the 1st picture,
The 2nd option is the answer.
Let say we have
[tex] a_{3}[/tex]
Replace it into the recursive formula.
[tex] a_{3} = a_{3 - 2} + (a) _{3 - 1}[/tex]
We are given a,1 and a,2 so the 3rd terms has to be
[tex]2[/tex]
So the second option is the answer.
For the second picture, a geometric sequence is a group of terms that has the same ratio between each consecutively.
Infinite means going on forever
The fourth option is the answer.
Answer:
1,1,2,3,5
part #2 none are exactly correct... the terms go on forever, so 1 &2 are out...
the "difference" is definitely not the same, so three is out..
4 is the closest, but the ratio is not the same, there is a trend in the ratio..
this is the Fibonacci sequence, and the ratio trends toward the "golden ratio" ( φ -phi) but never is exactly φ because φ is irrational
Step-by-step explanation:
6. Show how to simplify the expression 8x + 3 + 4x - 2 without using algebra tiles. Describe each step of the process.
Answer:
12x+1
Step-by-step explanation:
8x+3+4x-2
8x+4x+3-2
Arranging Like terms
12x+1
Adding Like terms (8x+4x) and Substracting numbers ! ++- = - So we substrate it and in addition we don't change symbols so 3 is greatest number so we write + there !
The equation of line a is y=-x+ 3. If line b runs perpendicular to line a and
passes through (2, 6), what would be the equation of line b?
Answer:
y = 4x -2
Step-by-step explanation:
y = 4x + b
6 = 4(2) + b
6 = 8 + b
-2 = b
HELP ASAP Simplify the following polynomial expression. The polynomial simplifies to an expression that is a ____ _______ with a degree of ___.
Answer:
The polynomial simplifies to an expression that is a
quadratic trinomial with a degree of 2 .
Step-by-step explanation:
trial and error
Answer:
Have a great rest of your day :)
Step-by-step explanation:
Assume that abc = pqr. Which of the following congruence statements are correct? Check all that apply
Answer:
A and E are correct congruence statements.
Answer:
A E
Step-by-step explanation:
need help, please need help
Answer:
Step-by-step explanation:
thats your problem learn how to pay attention lol
Which of the following is the solution to 9|x +4|>54 ?
O A. x2-10 or x 2 2
O B. xs-10 and x 2
C. x2
O D. X<-10 or x >2
Answer:
x>2 or x<-10
Step-by-step explanation:
9|x +4|>54
Divide each side by 9
9/9|x +4|>54/9
|x +4|>6
There are two solutions, one positive and one negative
x+4 >6 or x+4 < -6
Subtract 4 from each side
x+4-4 >6-4 or x+4-4 < -6-4
x>2 or x<-10
50 Points:
What are the coordinates of the point that is
2/3 of the way from A to B?
Point A: -4,-1
Point B: 5,5
A. 1,2
B. 0,5/3
C. 2,3
D. -1,1
Answer:
(-2,3)
Step-by-step explanation:
For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1
Now, we can use the internal section formula to get the coordinates of this point
(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
where (m,n) = (2,1)
(x1,y1) = (-4,-1)
(x2,y2) = (5,5)
(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)
(x,y) = (-4-2)/3, (-1 + 10)/3
(x,y) = (-2,3)
Simplify 3x+2x
BRAINLIEST
Answer:
5x
Step-by-step explanation:
3x+2x
Combine like terms
x(3+2)
x(5)
5x
Answer:
5x
Step-by-step explanation:
3x + 2x
Step 1 :- Calculate like terms by adding their coefficient.
( 2 + 3 ) xStep 2 :- Combine like terms.
( 5 ) xStep 3 :- Multiply ; 5 times x.
5xGraph: f(x) = 3/2 (2)x
Step 1: Calculate the initial value of the function.
f(0)=
Answer:
Step 1: 1.5
Step 2: Plot the points (0, 1.5)
Step 3: 3, then 0.75
Step 4: Plot the points (1, 3) and (-1, 0.75)
Step 5: y=0
Step-by-step explanation:
Ur welcome and have a nice day :>
The initial value of the function f(x) = 3/2 (2)^x is 3/2
How to calculate the initial value of the function?The function expression is given s:
f(x) = 3/2 (2)^x
Substitute 0 for x
f(0) = 3/2 (2)^0
Evaluate the exponent
f(0) = 3/2 * 1
Evaluate the product
f(0) = 3/2
Hence, the initial value of the function is 3/2
Read more about exponential functions at:
https://brainly.com/question/11464095
keep the body and soul together .....what figure of speech is contained in the sentence
Answer:
The expression "Keep body and soul together" is an idiom, a well-known phrase or collection of words that together mean something distinctly.
Tiana uses the equation c = 21h to figure out the total amount, c, she should
charge a customer for babysitting for h hours.
a. What is the constant of proportionality? What does it mean?
b. Tiana charges $94.50 for a job. How long did she babysit for?
Show your work.
Answer:
a. The constant of proportionality is, 21
b. Tiana charges $94.50 for a job, so, c=94.50
from the given equation,
c = 21h
or, 94.50 = 21h
or, h = 94.50/21
or, h = 4.5
She babysit for 4.5 hours.
Answered by GAUTHMATH
c = 21h
94.50 = 21h
h = 94.50 ÷ 21
h = 4.5hours.
Therefore, Tiana spent 4½ hours babysitting.
Learn more: https://brainly.com/question/20986361?referrer=searchResults
Carlos compro cierta cantidad de panes puso 1/4 de esa cantidad sorbre su bandeja y dejo el resto de panes en la bolsa ¿Cuantos panes dejo Carlos en la bolsa?
Answer:
The quantity of loaves left in the bag is 3/4.
Step-by-step explanation:
Carlos bought a certain amount of loaves, put 1/4 of that amount on his tray and left the rest of the loaves in the bag. How many loaves did Carlos leave in the bag?
Quantity of loaves in tray is 1/4
So, the quantity of loaves in the bag is
[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]
Help!!
I think I got these wrong, so please help!! Thank you!
Answer:
(x+3)(x+4)(x-4)
x+2 and x-3 are not factors but x-4 is
Step-by-step explanation:
let's factor it :)
x^3 + 3x^2 - 16x -48
first we will factor this:
x^3 + 3x^2
x^2(x + 3)
then factor the second part :
- 16x - 48
-16(x + 3)
so now,
x^2(x + 3) - 16(x + 3)
factor out x+3
(x+3)(x^2 - 16)
factor x^2 - 16
(x+3)(x+4)(x-4)
Find the value of each variable.
Step-by-step explanation:
180 - 37 = x angles on a straight line
x = 40
180 - 40 = y angles on a straight line
y = 140
180 - 140 = z angles om a straight line
z = 40
I don't think that there is enough info for this problem, but could someone try to help?
Answer:
12
Step-by-step explanation:
Rectangle : Let length = b & width = a
PQ = QR = 6
LR = QR - PL = 6 - a
ΔPQR ~ ΔMLR
In similar triangles, corresponding sides are in same ratio.
[tex]\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}[/tex]
[tex]1 =\frac{a}{6-b}[/tex]
6 - b = a
6 = a + b
a +b = 6
Perimeter of rectangle = 2*(length +width}
= 2*(a+ b)
= 2 * 6
= 12
what is the value of 5 in the number 68.513?
Answer:
00000000.1
Step-by-step explanation:
1+1=2-1%000.1
