Answer:
for 1 is -3
Step-by-step explanation:
If it is known that a and b are positive integers and that a-b=2 evaluate the following.
9 1/2^b/3^a
The value of the expression such that a and b are integers is 1/9
Indices and exponentsAn exponential function is a mathematical function in the form y = ab^x
Given the indices expression
[tex]\frac{(9\frac{1}{2} )^b}{3^a}[/tex]
This can be simplified as:
[tex]=\frac{(3^{2*\frac{1}{2}} )^b}{3^a}\\=\frac{3^b}{3^a}[/tex]
According to the law of indices, the expression will becomes;
[tex]\frac{3^b}{3^a} =3^{b-a}[/tex]
Recall that a - b = 2, such that b - a = -2. Substitute into the result to have:
[tex]\frac{3^b}{3^a} =3^{b-a}\\3^{b-a}=3^{-2}\\3^{b-a}=1/9[/tex]
Hence the value of the expression such that a and b are integers is 1/9
Learn more on indices here: https://brainly.com/question/10339517
please help me i dont know the answer to this one
Answer:
centroid (2, 2.666666666...)
circumcenter (2, 1.75)
orthocenter (2, 2.5)
Step-by-step explanation:
the coordinates of the centroid of a triangle are
((x1 + x2 + x3)/3, (y1 + y2 + y3)/3)
so, we have
(-4 + 2 + 8)/3 = 6/3 = 2 = x
(0 + 8 + 0)/3 = 8/3 = y = 2.666666666...
the circumcenter is the crossing point of the lines going perpendicular through the midpoint of each side.
the orthocenter is the crossing point of the lines going perpendicular on each side through the opposing vertices (the heights of the triangle).
so, we need to calculate additionally the slopes of 2 sides and their midpoints before we can get these 2 centers. the third side would only confirm the result but not provide additional information.
A = (-4, 0), B = (2, 8), C = (8, 0)
midpoint D of AC = ((-4 + 8)/2, (0+0)/2) = (2, 0)
the slope of AC is
(y2 - y1)/(x2 - x1) = (0 - 0)/(8 - -4) = 0/12 = 0 (a flat line)
the slope of the perpendicular line is -1/slope of original line. which is -1/0 = -infinity.
but don't worry, that means it is a constant line x = ...
and since it has to go through the midpoint D, the perpendicular line is x = 2
midpoint E of BC = ((2+8)/2, (8+0)/2) = (5, 4)
the slope of BC is
(0-8)/(8-2) = -8/6 = -4/3
so, the slope of the perpendicular line is 3/4.
that line is then y = 3/4 x + b
it has to go through the midpoint E
4 = 3/4 × 5 + b = 15/4 + b
16 = 15 + 4b
4b = 1
b = 1/4
so, the full perpendicular line is
y = 3/4 x + 1/4
crossing both perpendicular lines is simply using the first in the second equation :
y = 3/4 × 2 + 1/4 = 6/4 + 1/4 = 7/4 = 1.75
for the orthocenter we can use the same slopes, but the lines go now through the opposing vertices instead through the side midpoints.
so, line 1 is going through B, which makes it also x = 2.
line 2 is going through A, so
0 = 3/4 × -4 + b
0 = -1 + b
b = 1
line 2 is then
y = 3/4 x + 1
crossing these 2 lines gives us
y = 3/4 × 2 + 1 = 6/4 + 4/4 = 10/4 = 5/2 = 2.5
Find the area
A. 100
B. 112
C. 224
D. 46
Answer:
a). 100
Step-by-step explanation:
Finding d₁ and d₂
d₁ = r₁ x 2 = 5 x 2 = 10d₂ = r₂ x 2 = 10 x 2 = 20Finding Area
A = 1/2 x d₁d₂A = 1/2 x 10 x 20A = 1/2 x 200A = 100HELP MEEEEE
Write the equation for each translation of the graph y=|1/2x-2|+3
one unit to the right
Which relation represents the pattern in the table of values?
y = 3x - 2
y = 3x + 2
y = 2x + 3
y = 2x - 3
Answer:
y = 3x + 2
Step-by-step explanation:
The easiest way to do this, would be to substitute a point (e.g., (2,8)) into your equations to find the one that is true.
(2, 8)
y = 3x - 2
8 = 3(2) - 2
8 = 6 - 2
8 = 4
This statement is false
(2, 8)
y = 3x + 2
8 = 3(2) + 2
8 = 6 + 2
8 = 8
This statement is true
(2, 8)
y = 2x - 3
8 = 2(2) - 3
8 = 4 - 3
8 = 1
This statement is false
(2, 8)
y = 2x + 3
8 = 2(2) + 3
8 = 4 + 3
8 = 7
Therefore, b is the correct answer.
Hope this helps!
The relation that represents the pattern in the table of values is given as; y = 3x + 2
How to find derive linear equation from a table?Let us first find the slope of the values from;
m = (y₂ - y₁)/(x₂ - x₁)
m = (8 - 5)/(2 - 1)
m = 3
Thus, the y-intercept is;
5 = 3(1) + c
c = 2
Thus, equation is;
y = 3x + 2
Read more about Linear Equation at; https://brainly.com/question/16834757
#SPJ5
fill in the missing values of the following number patterns
a) 24;12;0;__ ; __
b) -36; -25; -16; __; __
Answer:
A) 24;12;0;-12;-24 because the numbers are gradually going down and they go into the negatives which means they repeat the numbers in the beginning.
B)-36;-25;-16;-9;-4 i am uncertian on this one but i think im doing it right.
Without graphing, determine the number of solutions to the system of equations.
{6x−4y=9, 12x−8y=18
Select the correct answer below:
no solution
one solution
infinitely many solutions
Answer:
Infinitely many solutions
Step-by-step explanation:
(1) ---- 6x - 4y = 9
(2)---- 12x - 8y = 18
If you multiply (1) by 2 → 12x - 8y = 18 --- (3)
and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions
Answer:
Infinitely Many Solutions!!
Step-by-step explanation:
You need to do elimination method!!
This is because we need to top the equation to cancel out and become negative.
6x−4y=9
12x−8y=18
You could do 6x and everything multiplied by -2. But 4y can do the same too!!
I rather do 4y x -2!
-12x+8y=-18
12x−8y=18
Everything cancels out!!
0=0
But 0 equals to 0 goes on forever so the answer is infinite solutions!!
**The reasoning behind the two other choices**
No solution would be like -3=0 which is not our case!!
One solution has something that goes into everything evenly!
complete the squares
i wanted to ask what exactly the question is
??
A.
B.
5x
x
=20
=4
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide both sides by the same variable expression
(Choice C)
C
Add/subtract the same quantity to/from both sides
(Choice D)
D
Add/subtract a quantity to/from only one side
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answer:
Divide both sides by 5.
Step-by-step explanation:
Divide both sides by same non-zero constant.
Help picture below problem 4
Answer:
The answer is A
Step-by-step explanation:
A pentagon is a polygon that has 5 sides and 5 vertices.
How many times larger is 450.000,000 than 4,500?
100
1,000
10,000
100,000
Answer:
100,00
Step-by-step explanation:
In order to find this, you would divide 450,000,000 by 4500. You would then get the final answer of 100,000. Hope this helps!
solve by using properties of whole number
a,16×25×10×4 b,49×99
Answer:
Step-by-step explanation:
a.16×25×10×4
= 100 * 160
= 16,000
b,49×99
= 49 * 100 - 49
= 4900 - 49
= 4,851.
0.6 × 0.8 = ___ I need help with this question KNOW!!!!!!
ANSWER = 0.48
HOPE IT HELPS :)
Answer: 0.48
Step-by-step explanation:
6 x 8 = 48
we add those decimals back in which would be 0.48
Identify the vertex of this quadratic function
Answer:
Step-by-step explanation:Well first figure out the a b and c for ax^2+bx+c the apply by substituting using the quadratic formula.Then you should get youre answer.
Answer:
Your answer is -2,-3
Step-by-step explanation:
What are the zeros of the function below?
F(x) = 8x(x-6)/(x+2)(x+9)
Answer:
x = 0, 6
Step-by-step explanation:
8x(x-6) = 0
x = 0, 6
Paul invests £500 at a rate of 1.5% per year compound interest.
Find the value of the investment after 3 years.
Give your answer correct to the nearest penny.
Tthe value of Paul's investment after 3 years would be equal to 52,285 penny.
How to calculate compound interest?Mathematically, compound interest is calculated by using this formula:
[tex]A=P(1+r )^{t}[/tex]
Where:
A is the future value.P is the principal.R is the interest rate.T is the time measured in years.Given the following data:
Principal = £500.
Time = 3 years
Interest rate = 1.5% = 0.015.
Substituting the given parameters into the formula, we have;
A = 500(1 + 0.015)³
A = 500(1.015)³
A = 500 × 1.0457
A = £522.85.
Conversion:
100 penny = 1 pounds.
X penny = 522.85 pounds.
Cross-multiplying, we have:
X = 522.85 × 100
X = 52,285 penny.
Read more on interest here: brainly.com/question/24341207
Amelia needs to buy some dog food. At the nearest store ,5 bags of dog food cost 12.50 how much would Amelia spend on three bags
Answer:
$7.50
Step-by-step explanation:
the question can be represented with:
12.5/5 and x/3
12.5/5 is 2.5, so that means each bag of dog food is $2.5
So then you multiply 2.5 by 3, = 1.20, so 3 bags of dog food is $7.50.
Answer:
Step-by-step explanation:
Remark
I take it you mean 5 and not 0.5.
If that is the case, this is a proportion question. A proportion consists of 4 parts. If you know 3 of the parts, you can solve for the 4th one.
Formula
Number of bags/Cost = new number of bags/Cost of the new number
Givens
original Number of bags = 5
Cost = 12.50
New number of bags = 3 bags
Cost = x
Solution
5/12.50 = 3/x Cross Multiply
5x = 12.50 * 3 Combine the right
5x = 37.5 Divide by 5
5x/5 = 37.5/5
x = 7.5
Answer: 3 bags cost 7.50 dollars.
Factor x2 + 3x + 2 A) (x + 3)(x + 1) B) (x + 2)(x + 1) C) (x + 2)(x - 1) D) (x - 2)(x + 1) E) (x - 2)(x - 1)
Answer:
(x + 1) (x + 2)
Step-by-step explanation:
x² + 3x + 2
We can Split the Middle Term of this expression to factorise it
In this technique, if we have to factorise an expression like ax² + bx + c,
we need to think of 2 numbers such that:
N₁ · N₂ = a · c = 1 · 2 = 2
And,
N₁ + N₂ = b = 3
After trying out a few numbers we get N₁ = 2 and N₂ = 1
2 · 1 = 2 and 2 + 1 = 3
x² + 3x + 2 = x² + 2x + x + 2
x (x + 2) + 1 (x + 2)
(x + 1) (x + 2) , is the factorized form.
Answer:
(x+2)(x+1)
Step-by-step explanation:
[tex]x^{2} +3x+2[/tex]
→Multiply the first and last term's coefficient =1×2=2
Now,
→Factors of 2=2,1
→Using 2 and 1 we must add up to 3
Now we get,
[tex]\hookrightarrow x^{2} +3x+2\\\\\hookrightarrow x^{2} +2x+x+2[/tex]
Here when we add 2x and x we get 3x.
Now,
Take common x from x²+2x as well as 1 from x+2
Then we get,
[tex]\hookrightarrow x^{2} +2x+x+2\\\\\hookrightarrow x(x+2)+1(x+2)\\\\[/tex]
Here, x+2 is common. So we can write both of them as one.
[tex]\hookrightarrow (x+2)(x+1)[/tex]
And it is our final answer.
Hence, the final factors are (x+2)(x+1)
What's the value of x in the equation -6 + x = -4?
Brainliest to best and quickest answer!
Answer:
[tex]\boxed{\sf{x=2}}[/tex]Step-by-step explanation:
To find the value of x, isolate it on one side of the equation.
→ -6+x=-4First, add by -6 from both sides.
→ -6+x+-6=-4+6
Solve.
→ -4+6=2
x=2
Therefore, the correct answer is x=2.I hope this helps you! Let me know if my answer is wrong or not.
Find two integers whose sum is 11 and whose product is 30.
A credit card company receives numerous phone calls throughout the day from customers reporting fraud and billing disputes. Most of these callers are put “on hold” until a company operator is free to help them. The company has determined that the length of time a caller is on hold is normally distributed with a mean of 2.5 minutes and a standard deviation 0.5 minutes. If 1.5% of the callers are put on hold for longer than x minutes, what is the value of x?
Using the normal distribution, it is found that the value of x is of 3.585.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of XIn this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 2.5, \sigma = 0.5[/tex].
The value of x is the 100 - 1.5 = 98.5th percentile, which is X when Z = 2.17, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.17 = \frac{X - 2.5}{0.5}[/tex]
[tex]X - 2.5 = 0.5(2.17)[/tex]
[tex]X = 3.585[/tex]
Hence the value of x is of 3.585.
More can be learned about the normal distribution at https://brainly.com/question/24663213
4. Ahusan was born on 22 May, 2000 and Junaid was born on 2 October, 2000. Who is elder among the two and by how many months?
Which of the following options have the same value as 10% of 33?
Choose 3 answers:
A. 0.1 • 0.33
B. 10 • 33
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
(Please help I need this answer fast)
Answer:
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
Step-by-step explanation:
Knowing that
10% = 0.1 in decimal form
10% = 1/10 or 10/100 in fraction form
of = multiply
Thus, the following is correct:
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
We can also solve to find the answer:
10% of 33 = 3.3
0.1 x 0.33 = 0.033
10 x 33 = 330
1/10 x 33 = 3.3
0.1 x 33 = 3.3
10/100 x 33 = 3.3
Hence answer =
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
[RevyBreeze]
Answer:
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
Step-by-step explanation:
Before finding the solutions let's first note the following:
Notes :
Of = Multiply
10% ⇒ 0.1 ⇒ 1/10 ⇒ 10/100
Thus, substitute;
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
Therefore,
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
are the correct answer.
As well as if you multiply/divide all you will all get 3.3
~lenvy~
Acontainer ship left Hawaii and traveled
toward Tahiti at an average speed of 25
km/h. An aircraft Cimier left sometime
later traveling in the opposite direction
with an average speed of 25 km/h. After
the container ship had traveled for six
hours the ships 200 km apart Find
the number of hown heraft carrien
hohe
Answer:
Step-by-step explanation:
-lukelaws
did i help?
(5x+30)=7x ??
Can anyone help me
Answer:
the answer is x=15.....
Answer:
Step-by-step explanation:
(5x+30)=7x Subtract 7x from both sides. 5x+30−7x=0 Combine 5x and −7x to get −2x. −2x+30=0 Subtract 30 from both sides. Anything subtracted from zero gives its negation. −2x=−30 Divide both sides by −2. x= −2 −30 Divide −30 by −2 to get 15. answer should be x=15
Help picture below problem 12
Answer:
124°
Step-by-step explanation:
Not the best at explaining but should be equal to 180 straight across. You have to find the missing angle. You know the right angle is 90° so you will add 34° to get 124°. 180-124 will get you 56°. Straught across you have the angle that you are trying to find which is 124° because 180-56 is 124.
Help 4 easy math questions
Answer:
31.5
Step-by-step explanation:
bxh/2
so 9x7=63 and divided by 2 is 31.5
Answer:
31.5
Step-by-step explanation:
use the formula base times high divided by 2
9x7=63
63/2=31.5
Alge
If the number of bacteria in a colony doubles every 203 minutes and there is currently a
population of 40 bacteria, what will the population be 812 minutes from now?
bacteria
Submit
Answer:
640 Bacteria
Step-by-step explanation:
First, find out how many times the population will double. Divide the number of minutes by how long it takes for the population to double.
812÷203=4
The population will double 4 times.
Now figure out what the population will be after it doubles 4 times. Multiply the population by 2 a total of 4 times.
402222=640
That calculation could also be written with exponents:
4024=640
After 812 minutes, the population will be 640 bacteria.
How to graph (x-2)(y-3)=0
Answer:
This is what it should look like. The slope is 0 and there are two points. (0,3) (1,3)
A grain silo has a cylindrical shape. Its radius is 9 ft, and its height is 41 ft. What is the volume of the silo?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
As Per Provided Information
Radius of cylindrical shape silo 9 ft
Height of cylindrical shape silo 41 ft
We have been asked to determine the volume of cylindrical silo .
[tex] \boxed{\sf \: Volume_{(Cylindrical\:Silo)} = \pi {r}^{2}h}[/tex]
Substituting the given value in above formula and we obtain
[tex] \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times {9}^{2} \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 81 \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 3321 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10427.94 \: {ft}^{3} \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10428 \: {ft}^{3}[/tex]
Answer:
Volume is 10428 cubic ft.
Step-by-step explanation:
Given :-
Radius of grain silo is 9ft and height is 41ftTo find:-
Volume of grain siloSolution:-
Volume of cylindrical grain silo :- πr²hPutting the known values ,
Volume:- 3.14 × 9² × 41 cubic ft.
Volume :- 10427.94 cubic ft.
rounding off to nearest whole number ,
Volume :- 10428 cubic ft.