Answer:
[tex]2(1 - log_{3}(2) )[/tex]
Step-by-step explanation:
I have attached the explanation above, hopefully this help
Each of the digits 3, 4, 6, 7, 8, and 9 is used once and only once to form a six-digit integer. What is the largest six-digit multiple of 4 that can be formed
Answer:
987436Step-by-step explanation:
The number is divisible by 4 if the number formed by the last two digits is divisible by 4.
Since we are looking for the largest possible option, lets try 2-digit numbers formed by the given digits.
The smallest 2-digit number that is divisible by 4 is 36
Then the largest number is:
987436A triangle is rotated 90 about the origin.Which rule describes the transformation?
Answer:
Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. ... Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure.
Answer:
Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 90° clockwise? Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure
please help so I can watch Coop and Cami ask the world
Step-by-step explanation:
Simple interest=principal x rate x time÷100
amount borrowed=$500
I=$500x7x6÷100
I=$210
therefore you will pay
amount borrowed+interest
$500+$210
$710
hope this is helpful
determine the period of this function
Explanation:
The function is somewhat sinusoidal but not entirely. Its composed of piecewise line segments when we should have a single continuous smooth curve; however, it's still periodic since it repeats itself.
Let's start at the top at the left most corner. This point has x coordinate of x = 1.
The other endpoint of this top left flat portion is when x = 2. Then the function curve goes downhill until it reaches x = 4. From x = 4 to x = 5, we're at the flat bottom part. From x = 5 to x = 7 is when the function increases.
Once we get to x = 7, the process described earlier starts all over again. So this is when the cycle ends and the length of the period is 7-1 = 6 units. The function repeats itself every 6 units, or you can say the length of each cycle is 6 time units (eg: 6 seconds).
Tariq wants to make some purple paint.
He mixes blue, red and white paint in the ratio 5:3:2
Tariq needs 60 litres of purple paint.
He gets a discounted price of 60% on the red paint.
Calculate how many litres of red paint he buys at the discounted price.
Answer:
18 liters
Step-by-step explanation:
Blue : red : White = 5 : 3 : 2
Quantity of Blue paint = 5x
Quantity of Red paint = 3x
Quantity of White paint = 2x
Total paint = 5x + 3x + 2x = 10x
10x = 60 liters
x = 60/10
x = 6
Quantity of red paint = 3x = 3*6 = 18
3 is subtrated from 9 times 2 and 5 is added
Answer:
20
Step-by-step explanation:
9*2-3+5
18-3+5
15+5
20
Answer:
Its 20
Step-by-step explanation:
9 x 2 = 18
18 - 3 = 15
15 + 5 = 20
Of the four choices given, which two, when written as a system, have a solution of (-4,5)?
х
-1
2
3
5
y
2
-1
-2
-4
2x+y=-3
-2x+y=-3
Х
-1
2.
3
7
0
-3
4
-8
2x+y=-3 and
Х
--1
2
3
5
y
2.
-1
-2
-4
0-2x+y=-3 and
х
-1
2
3
5
у
2.
-1
-2
-4
Answer:
both choices with 2x+y = -3
Step-by-step explanation:
to have the solution (-4, 5), that point must be on both equations/functions, meaning it must be on either one.
in other words, if the point is not on at least one of the functions, it cannot be a solution for that system.
the given function
2x + y = -3
looks like for the point (-4, 5)
2×-4 + 5 = -3
-8 + 5 = -3
-3 = -3
correct.
but
-2x + y = -3
looks like for (-4, 5)
-2×-4 + 5 = -3
8 + 5 = -3
13 = -3
wrong. the point is not on this function.
as we can therefore rule out 2 of the answer options, the other 2 most be correct.
The two equations which when written as a system has a solution of (-4, 5) is; 2x + y = -3 and 2x + y = -3
Inequalities
The correct equations must have same output with the given one when we place -4 and 5 for x and y respectively.
Now, for 2x + y = -3
At x = -4, and y = 5 we have;
2(-4) + 5 = -3
Same with the right hand side.
For -2x + y = -3;
At x = -4, and y = 5 we have;
-2(-4) + 5 = 13
Not the same with the right hand side.
Thus, the two equations with 2x + y = -3 are correct
Read more about Inequalities at; https://brainly.com/question/24372553
CO
Evaluate the function for an input of 0.
x
f(x)
-2
0
IX-2
0
-1
3
3
O
4
4
1
3
2.
0
Explanation:
Refer to row three of the table. The table shows that when x = 0, we have f(x) = 4. This is the same as saying f(0) = 4.
Answer:
the answer
-2 0-2
1. what are the two pair of alternate exterior angles?
2. angle 1 is 60 find the value of angle 8
Answer:
see explanation
Step-by-step explanation:
∠ 1 and ∠ 8 , ∠ 2 and ∠ 7 are alternate exterior angles
They are on opposite sides of the transversal and outside the parallel lines
Given ∠ 1 = 60° , then
∠ 8 = 60° ( alternate exterior angles are congruent )
Answer:
1. <1 and <8
< 2 and <7
2. 60°
Step-by-step explanation:
1. When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles.
2. If two parallel lines are cut by a transversal, then the alternate exterior angles formed are congruent.
Congruent angles are angles with the same measurement.
Given the triangle below, what is mA, rounded to the nearest tenth?
Answer:
A. 24.2°
Step-by-step explanation:
I'm correct if I'm rwong
3 years later a mother will be 4 times as
old as her son. 3 years ago ,the mother age was two times as old as her son age will be 8 years hence. What are their present ages?
Answer:
33 and 6 yearsStep-by-step explanation:
Mother's age = mSon's age = s3 years later:
m + 3 = 4(s + 3) ⇒ m = 4s + 12 - 3 = 4s + 93 years ago:
m - 3 = 2(s + 8) ⇒ m = 2s + 18 + 3 = 2s + 21Solve for s by substitution:
4s + 9 = 2s + 212s = 12s = 6Find the value of m:
m = 4*6 + 9 = 33Mother is 33 and son is 6
How many marbles do you need to be able to arrange them into the shape of an equilateral triangle with 75 rows
Answer:
2850
Step-by-step explanation:
1+2+3+4+5+6+7...74+75
just add up all the numbers from 1 to 75
Which expression is equivalent to −10x−10+2x+9?
Answer:
-8x - 1
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-10x - 10 + 2x + 9
Step 2: Simplify
Combine like terms (x): -8x - 10 + 9Combine like term: -8x - 1[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{-10x - 10 + 2x + 9}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{-10x + 2x - 10 + 9}[/tex]
[tex]\large\textsf{-10x + 2x}\\\\\large\textsf{ = \bf -8x}[/tex]
[tex]\large\textsf{-10 + 9}\\\\\large\textsf{ = \bf -1}[/tex]
[tex]\boxed{= \large\textsf{\bf -8x - 1}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -8x - 1 }}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Porfavor necesito ayuda en esto.
Es para hoy :(
Answer:
17
Step-by-step explanation:
Given 2n-1 x 8^n = 2048, find the value n.
find the circumference of a circular swimming pool with a diameter of 18 feet use 3.4 as an approximation round your answer to the nearest foot
Answer:
57 feet
Step-by-step explanation:
A circular swimming pool has the shape of a circle
Therefore, find the circumference of a circle
Circumference of a circle = 2πr
Where,
Radius, r = diameter / 2
= 18 feet / 2
= 9 feet
π = 3.14
Circumference of a circle = 2πr
= 2 × 3.14 × 9 feet
= 56.52 feet
Approximately,
57 feet
Help please !!! At a local Brownsville play production, 420 tickets were sold. The ticket prices varied on the seating
arrangements and cost $8, $10, or $12. The total income from ticket sales reached $3920. If the
combined number of $8 and $10 priced tickets sold was 5 times the number of $12 tickets sold, how
many tickets of each type were sold?
Answer:
n = 12$ x = 8$ y = 10$ where n, x, and y are number of tickets
12 n + 8 x + 10 y = 3920 and n + x + y = 420
12n + 8 (x + y) + 2 y = 3920
12 n + 8 (5 n) + 2 y = 3920 since 5 (x + y) = n
52 n + 2 y = 3920 or y = 1960 - 26 n
Also, n + x + y = 420 or n + 5 n = 420 since x + y = 5 n
n = 70 so 70 of the $12 were sold
And since y = 1960 - 26 n we have y = 140 tickets
Now 12 * 70 + 8 x + 140 * 10 = 3920
This gives x = 210 tickets
Check: 210 + 140 + 70 = 420 tickets
Also, 12 * 70 + 210 * 8 + 140 * 10 = 3920
4c = 3c + 4
my answer :
4c = 4 - 3c
4c = 1c
c = 4/1
c= 4
just checking, Is this Correct?
Answer:
c = 4
See explanation
Step-by-step explanation:
Given:
4c = 3c - 4
Your calculation:
4c = 3c + 4
4c = 4 - 3c
4c = 1c
c = 4/1
c= 4
Correct calculation:
4c = 3c + 4
Collect like terms by subtracting 3c from both sides
4c - 3c = 3c + 4 - 3c
c = 4
Check:
4c = 3c + 4
4(4) = 3(4) + 4
16 = 12 + 4
16 = 16
Therefore,
Your final answer is correct but your method of calculation is not correct
A football is thrown from the stadium. The height of this football can be represented by the polynomial -16t2 +32t + 20, where t is the time in seconds. Find the factored form of the polynomial.
A) 4(2t+5)(2t-1)
B) 4(2t-5)(2t+1)
C) -4(2t-5)(2t+1)
D) -4(2t+5)(2t-1)
Answer:
C
Step-by-step explanation:
related equation
-16t^2 + 32t + 20 = 0
-4t^2 + 8t + 5 = 0
Δ/4 = 16 + 20 = 36
t1 = (-4 + 6)/-4 = -1/2
t2 = (-4 - 6)/-4 = 5/2
-16(t+1/2)(t-5/2)
-16(2t+1/2)(2t-5/2)
-4(2t+1)(2t-5)
Fiona rolls a fair dice 144 times.
How many times would Fiona expect to roll an even number?
There are 3 even numbers out of 6 total numbers.
Rolling an even number would be 3/6 = 1/2
She would expect half the rolls should be even.
144/2 = 72
The answer is 72 times.
Question 14
The coordinates of triangle ABC are A(2,3), B(2,-1), C(-1,-1). Describe the ordered pairs after the tranformation D3.
The ordered pairs of the transformation are A'(1,2), B'(1,-2), C'(-2,2) of the coordinates of the triangle ABC are A(2,3),B(2,-1),C(-1,-1).
What is meant by coordinates?
They are the points which together when jointed form a triangle.
How to do transformation of a triangle?
The transformation of triangle whose coordinates are as A(2,3), B(2,-1), C(-1,-1) is done as follows:
A'=(2-1,3-1)=(1,2)
B'=(2-1,-1-1)=(1,-2)
C'=(-1-1,-1-1)=(-2,-2)
Hence the ordered pairs are (1,2)(1,-2)(-2,-2).
Learn more about transformation of a triangle at https://brainly.com/question/4289712
#SPJ2
AT first, shop A had 156 kg of rice and shop B had 72 kg of rice. After each shop sold the same quantity of rice, the amount of rice left in Shop A was 4 times that of Shop B. How many kilograms of rice did Shop B sell
(Please give an easy method)
Answer:
44 kg, and since both sold the same amount so did A.
Let me know if this method doesn't make sense though and I should be able to explain it.
Step-by-step explanation:
Both shops sold the same amount, let's call it x.
At the end, let's say shop B had y left, this means A would have 4y left, since the question says "After each shop sold the same quantity of rice, the amount of rice left in Shop A was 4 times that of Shop B"
So this means A started with 156, sold x and was left with 4y, or in math 156 - x = 4y
B you could write 72 - x = y
Now you have a system of equations.
156 - x = 4y
72 - x = y
There are a number o ways to look at this. If you graph them you want the (x, y) coordinates where they intersect, or in other words the x and y values that work for both of these equaions.
The methods all wing up making you solve for one variable and plugging it into the other equation to solve for the other. The easiest method is probably canceling out.
156 - x = 4y
72 - x = y
Now, for these two the goal is to make one of the variables go away by adding or subtracting one equation from the other. You could also multiply one by something. In fact here are all possibilities.
If you subtract one from the other here is what would happen.
156 - x = 4y
-(72 - x = y)
_________
156 - x = 4y
-72 + x = -y because you distribute the minus sign
_________
84 = 3y because 156-72 = 84, -x + x = 0 so they canceled out and 4y - y = 3y
28 = y because you divide both sides by 3.
It's all just algebra after the addition/ subtraction. You could also do it the other way subtracting 156 - x = 4y from 72 - x = y. Either way would cancel the xs. But now that you know y = 28 you can plug that into either of the equations again to find x.
156 - x = 4y
156 - x = 4(28)
156 - x = 112
156 = 112 + x
44 = x
72 - x = y
72 - x = 28
72 = 28 + x
44 = x
Now, if you wanted to cancel the ys initially you would have to multiply.
156 - x = 4y
72 - x = y
Normally subtracting just got rid of the xs. You would need to multiply the bottom one by 4 to get rid of ys.
156 - x = 4y
288 - 4x = 4y
Now if you subtracted one from the other the 4ys would cancel. You could also divide the top one by 4 and get
39 - x/4 = y
72 - x = y
here you have a fraction though and that's gonna make things a little more difficult.
Let me know if this method doesn't make sense though and I should be able to explain it.
What is the value of x?
Enter your answer in the box.
Select the correct product. (x^2+4)(x^2-4)
1. X^4-16
2. X^4+16
3. X^2+8x+16
4. X^2-8x-16
Answer:
[tex] ({x}^{2} + 4 )( {x}^{2} - 4) \\ 1)( {x}^{2} - 16) \\ = (x - 4)(x + 4) \\ 2)( {x}^{2} + 16) \\ = (x - 4)(x + 4) \\ 3) {x}^{2} + 8x + 16 \\ {x}^{2} + (4 + 4)x + 16 \\ {x}^{2} + 4x + 4x + 16 \\ x(x + 4) + 4(x + 4) \\ (x + 4)(x + 4) \\ 4) {x}^{2} - 8x - 16 \\ {x}^{2} - (4 + 4)x - 16 \\ {x}^{2} - 4x + 4x - 16 \\ x(x - 4) + 4(x - 4) \\ (x - 4)(x + 4)[/tex]
a right triangle has a leg of length 13 and a hypotnuse of length 41 yards. find the length of the other leg (nearest tenth)
Someone help me asap
Answer:
A
Step-by-step explanation:
There are 270 minutes in 4.5 hrs.
divide that by 45, you get 6.
50*3^6 is 36,450
find the slope of the line 3x-5y =0
Answer:
slope= ⅗
Step-by-step explanation:
Rewrite the equation into the slope-intercept form, y=mx +c, where m is the gradient and c is the y-intercept.
3x- 5y= 0
+5y on both sides of the equation:
5y= 3x
Divide both sides by 5:
y= ⅗x
From the coefficient of x, the slope of the line is ⅗.
3/4 ploted on a number line
Answer:
3/4 = 0.75
- 1 - 2 - 3 - 4
3/4 so its 321 colored
Step-by-step explanation:
Can someone help me solve this problem please
Answer:
In picture
Step-by-step explanation:
Brianliest please~
Factor the expression below. A. (x − 6)(x − 6) B. 6(x2 − x + 6) C. (x − 6)(x + 6) D. (x + 6)(x + 6)
Step-by-step explanation:
X(x+6) - 6(x+6)
X+6x-6x-36
X-36