Answer:
2
Step-by-step explanation:
We have
=> y= log _5 25
=> y = log _5 5²
Using properties of log ,
=> y = 2 log_5 5
= > y = 2*1
=> y= 2
[tex]y = log_{5}(125) \\ = > y = log_{5}( {5}^{3} ) \\ = > y = 3 log_{5}(5) \\ = > y = 3 \times 1 \\ = > y = 3[/tex]
Answer:y = 3
Hope it helps.
Do comment if you have any query.
A model rocket is launched from the top of a building. The height (in meters) of the rocket above the grown is given by h(t)=-6t^2+30t+10 , where t is the time (in seconds) since the rocket was launched. What is the rocket’s maximum height?
Answer:
47.5 Meters
Step-by-step explanation:
Find where the derivative changes from positive to negative (local maximum)
h(t)=[tex]-6t^2+30t+10[/tex]
h'(t)=[tex]-12t+30[/tex]
Find where the derivative equals zero
Theres no spot where the derivative wont exist because its a polynomial.
-12t=-30
t=[tex]\frac{5}{2}[/tex]
Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.
Now plug into original equation
h(2.5)=[tex]-6(2.5)^2+30(2.5)+10[/tex]
=-37.5+75+10
=47.5
The Pines Golf Course is offering free Ice cream cones to golfers who hit their tee shot on the green at hole 7! The following bar graph summarizes the tee shots from this morning.
Based on the data, what is a reasonable estimate of the probability that the next tee shot ends up on the green?
A: 14%
B: 17%
C: 18%
D: 21%
Explanation:
There are 4 shots that land on the green in this sample size. The height of the bar tells us this directly.
Add up the heights of each bar to get 4+5+7+3+5 = 24 which is the total number of shots. The probability of landing on the green is 4/24 = 1/6 = 0.1667 = 16.67% approximately. This rounds to 17%
Given: x + y = 10.
GIVEN X+Y=10
If x = -21, what is y?
-31
31
11
Answer:
y = 31
Step-by-step explanation:
We'll, if x + y = 10,
and x = -21,
then: -21 + y = 10.
To solve, add 21 on both sides to get y = 31
Hope this helps :)
Answer:Answer:
y = 31
Step-by-step explanation:
We'll, if x + y = 10,
and x = -21,
then: -21 + y = 10.
To solve, add 21 on both sides to get y = 31
Hope this helps :)
Step-by-step explanation:
Find the slope plssssss
Answer:
m=2
Step-by-step explanation:
you subtract the y-values (4-2) and put it as the numerator of a fraction than subtract the x-values (3-2) and put them as the denominator of the fraction. For this equation it would be
[tex]\frac{4-2}{3-2} = \frac{2}{1} = 2[/tex]
How many solutions can be found for the system of linear equations represented
on the graph?
A) no solution
3) one solution
D) infinitely many solutions
C) two solutions
Answer:
Infinitely Many Solutions
Step-by-step explanation:
They are the same line so they cross each other infinitely many times.
If you picked a point on the first equation it would be the same point on the second equation.
Answer:
D) Infinitely many solutions
Step-by-step explanation:
Given the follwowing systems of linear equations, y = x + 2, and -3x + 3y = 6:
Transforming -3x + 3y = 6 into its slope-intercept form, y = mx + b:
-3x + 3y = 6
Add 3x to both sides:
-3x + 3x + 3y = 3x + 6
3y = 3x + 6
Divide both sides by 3:
[tex]\frac{3y}{3} = \frac{3x + 6}{3}[/tex]
y = x + 2 ⇒ This is the slope-intercept form of -3x + 3y = 6. Since they are equivalent equations, then it means that their graphed lines coincide. Since any point on either lines coincide (or also exists) on the other line, then it means that the solutions to one of the equations will satisfy the other. Therefore, the given systems of linear equations have an infinitely many solutions.
Write a linear inequality for each graph (back page)
Answer:
I can't read that...........
Joe buys his son a Gatorade each time his son plays hockey. The Gatorade cost $2. His song usually plays 3 times a week for half a year. How much money can joe save if he brings water from home for his son instead of buying Gatorade?
Answer:$156
Step-by-step explanation: One year has 72 weeks in it. That means there's 26 weeks in half a year. If he gets a Gatorade three time each week that's 78 Gatorades.if each Gatorade costs two dollars then the dad would spend 156 dollars every half year.
what is the sum of two arithmetic means between 6 and 2
pls show solutions guys!!
Answer:
8Step-by-step explanation:
Let the numbers are:
6, x, y, 2Since the sequence is arithmetic, the difference of two consecutive terms is same:
d = x - 6 = y - x = 2 - yTherefore:
x = 6 + dy = 6 + 2d2 = 6 + 3dThe sum of the first two equations:
x + y = 6 + d + 6 + 2d = 6 + (6 + 3d)Substitute (6 + 3d) with 2 (the third equation) to get:
x + y = 6 + 2 = 8Find the remaining zeros of f using the given information about the polynomial.
Then write the linear factorization of the polynomial. Degree 3;
zeros: 2, 5 − i
The remaining zero of polynomial is (5 + i).
And, the linear factorization of the polynomial are;
(x - 2) (x - (5-i)) (x - (5 + i)).
What is Zeros of polynomial?
Zeroes of a polynomial are the points where the polynomial becomes zero.
Given that;
Zeroes of the polynomial are 2, 5 - i
Now, If one zero of polynomial is complex then another zero of the polynomial is its conjugate.
So, One root of polynomial = 5 - i
Then, The third zero of the polynomial = 5 + i
Thus, The polynomial are find as;
(x - 2) (x - (5-i)) (x - (5 + i)) = 0
So, The remaining zero of polynomial is (5 + i).
And, the linear factorization of the polynomial are;
(x - 2) (x - (5-i)) (x - (5 + i)).
Learn more about the complex roots visit:
https://brainly.com/question/14788607
#SPJ1
Find the value of K so that line passing through the points (k,-1) and (-2,8) is parallel to the equation 3x+y=-7
Answer:
k =1
Step-by-step explanation:
3x + y = -7
y = -3x - 7
m = -3
Parallel lines have same slope
[tex]Slope = -3\\\\\dfrac{8-[-1]}{-2-k}=-3\\\\\\\dfrac{8+1}{-2-k}=-3\\\\\dfrac{9}{-2-k} = -3[/tex]
Cross multiply,
9 = -3(-2-k)
9 = 6 + 3k
9-6 = 3k
3 = 3k
3/3 = k
k = 1
you joined a health club you paid a one-time member-ship fee of $150 and a monthly fee of $19.99.you spent $389.88. how many months have you attended the gym. thanks to any one who is able to help
Answer: Ok so I would say roughly 74 months
Step-by-step explanation:
PLEASE HELP ASAP!!!!!
Answer:
Step-by-step explanation:
( 8x - 23 )° = ( 6x + 11 )°
2x = 34
x = 17
m ∠ J = ( 8(17) - 23 )° = 113°
m ∠ M = 180° - 113° = 67°
the range of two numbers is 10 and their median 14.what are the two numbers
Answer: 9,19
Range: The difference between the largest and smallest data in a data set.
nineteen (19) - nine (9) = 10 (which is equivelent to the given range 10)
Median: The value in a set that is most close to the middle of a range.
nine (9) and nineteen (19) the median would be 14
also, I needed more wording so it doesn't get taken down :(
How do I explain and answer those questions ?? Please help
Answer:
The first box is 4 the second box is 0.25
Step-by-step explanation:
The first box is 4 because you divided the time by 2 to get 1 so you need to divide the distance(8) by 2 to get 4.
To get 0.25 as the second box you would have divided the second box on the left (4) by 4 to get 1 so you would need to divide the second box on the right(1) by 4 to get 0.25
19.6 divided by 9 pls no long numbers just do it simply
What number cannot be divided into 9 groups without a remainder?
Answer:
The answer is B) 432
Step-by-step explanation:
The 4 in 432 becomes a 3, because we can't subtract 6 from 3. The 3 becomes 13 and if we subtract 13 with 6... We get 7.
I got 0 with option B... With A I got 2 which is a remainder. With C I got 6.5 (repeating). And with D I got 7.77777777778.
Hence, B) 432 is the correct option.
Check screenshot of my work below.
(I forgot to include 48 on top of the division I just did. Don't mind that too much..)
A) 326
[tex] \frac{326}{9} [/tex]
[tex] = 36.2222222222 [/tex]
B) 432
[tex] \frac{432}{9} [/tex]
[tex] = 48[/tex]
C) 531
[tex] \frac{531}{9} [/tex]
[tex] = 59[/tex]
D) 630
[tex] \frac{630}{9} [/tex]
[tex] = 70[/tex]
so, the correct answer is option A.
Please help me ): asap
Can anyone plz help me with these two questions
Answer:
C
6 and 7
Step-by-step explanation:
6) x^5y^7 / x^2y^3
= x^(5-2) * y^(7-3)
= x^3y^4
7) [tex]\sqrt[3]{300}[/tex]
= 6.69432..
OR you can try 6^3 and 7^3 values
216 343
as 300 is between 216 and 343
so \sqrt[3]{300} is between 6 and 7
so it is between 6 and 7
Answer:
Question 6 answer is: C and Question 7 answer is: A
Step-by-step explanation:
It's simple to divide for Question 6 because you just have to show the difference between the exponents. 5 - 2 = 3 and 7 - 3 = 4 so choice C is the best answer.
For question seven, the radical index is 3 so rewrite the equation as 300^(1/3). The answer will be around 6.69 which is between 6 and 7 so the answer is A.
Given the two points (2, 3) and (-2, 4); Create the linear equation in Slope-Intercept Form.
(show work and I will not only mark brainliest, but I will rate 5 stars, follow you, and thank you on your profile.)
Step-by-step explanation:
Use the equation
[tex] \frac{x - x1}{y - y1} = m[/tex]
So plug in the numbers
[tex] \frac{ 2 + 2}{3 - 4} = \frac{4}{ - 1} = - 4[/tex]
So if y=mx+b and there is no intercept the equation would be
[tex]y = - 4x[/tex]
trig review please help me
Answer:
√73 mi√134 ft.......................A farmer has 150 pounds of apples. The apples will be put into bags. How many bags can be filled if 2.5 pounds of apples are put into each bag?
A) 6
B) 60
C) 75
D) 375
Answer:
60 bags can be filled. ( 150 pounds / 2.5 pounds per bag = 60 bags)
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
150 pounds divid to 2.5pound
What is 1/3 by the power of 4 in the simplest form. No links.
(1/3)^4 = 1^4/ 3^4 = 1/81
Answer: 1/81
The expression 1/3 by the power of 4 when evaluated has a value of 1/81
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
1/3 by the power of 4
Express as an equation
So, we have
1/3 by the power of 4 = 1/3⁴
When expanded, we have
1/3 by the power of 4 = 1/3 * 1/3 * 1/3 * 1/3
Evaluate the products
This gives
1/3 by the power of 4 = 1/81
Hence, the solution is 1/81
Read more about expression at
https://brainly.com/question/30492964
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Which ordered pair is A'?
Answer:
The answer is: (-3,3)
Ab-2/3-67*4 if a=23 and b=3
what upAnswer:
Step-by-step explanation:
What is 5m -2m = 3? With work provided
Answer:
Step by step solution:
5m - 2m = 33m = 3m = 3/3m = 1It is a six-digit whole number.
It has only three different digits, each used twice.
The sum of its different digits is 24.
It is divisible by 4.
It is greater than 800,000.
Its ten-thousands digit is different from its hundred-
thousands digit.
Its thousands digit is the same as its ten-thousands
digit.
Its tens digit is the same as its ones digit.
Its tens digit is different from its hundreds digit.
Its hundreds digit is 9.
Help ASAP!!!!!
kabanayan ako to si nstog
A large bag contains 7/8 pound of nails. How many 1/4-pound bags can be filled with this amount of nails?
please i need it now
Answer:
Step-by-step explanation:
7/8 divided by 1/4
7/8 x 4/1 =7/2 = 3/1/2
Three and a half bags
A piece of wood is cut in the ratio 5:2:1 . if the shortest piece is 120cm , what is the length of each of the other two pieces ?
GUYS HELP ME
Genny's monthly salary was $2000in November. In December she received a 20% raise. In January she received 20% pay cut. After the two changes in January and December , what was Genny's monthly salary?
Answer:
2000
Step-by-step explanation:
Which value of x is in the domain of f(x) = (x – 5?
A. x = -5
B. x = 5
C. x = 1
D. x = 0
