Answer:
The least number should 4851 be divided to get a perfect square number = 11
The square root of the obtained perfect square number is 21
Step-by-step explanation:
Given number = 4851
It can be written as
4851 = 3×1617
4851 = 3×3×539
4851 = 3×3×7×77
4851 = 3×3×7×7×11
4851 = (3×3)×(7×7)×11
It is clear that We should divide the given number by 11 then we get a perfect square number.
4851/11 = 441
441 = 21×21
=> 441 = 21²
=> √441 = √(21²)
=> √441 = 21
Answer:-The least number should 4851 be divided to get a perfect square number = 11
The square root of the obtained perfect square number is 21
Used Method :-→ Prime Factorization Method
Answer:
11 is the least number and the when you take the square root of the number you get 21
Step-by-step explanation:
The easiest way to solve this problem is guess and check.
First of all, a perfect square NEEDS to be a WHOLE number
Since 4851 is odd, you cannot divide it by an even number evenly, as it would result in a number with a remainder or leftover decimal amount.
This means you cannot divide by 2, 4,8...etc
We just have to guess and check odd numbers starting at 3.
4581/ 3 = 1527 sqrt(1527) = 39.07684737 decimal so not this one
4581/ 5 = 916.2 decimal so not this one
4581/ 7 = 654.4285714 decimal so not this one
4581/ 9 = 509 sqrt(509) = 22.56102835 decimal so not this one
4581/ 11 = 441 sqrt(441) = 21
This is the first instance where 4581 is divisible by a number that yields a perfect square, so 11 is the least number and the square root of the result is 21.
Brownies sell for $.75
and cookies sell for $.40. If
Brady wants 3 brownies and 2
cookies. He brought $3. Does
Brady have enough money to
buy the treats? NO LINKS PLEASE
Answer:
No
Brady is 5 cents short
Step-by-step explanation:
.75x3=$2.25
.40x2=0.80
$2.25+0.80=$3.05
Answer:
No
Step-by-step explanation:
3 brownies = $.75 * 3 = $2.25
2 cookies = $.40 * 2 = $.80
$2.25 + $.80 = $3.05, which is over $3
He is 5 cents short.
Hope this helped!
(and taxes of course)
If 8% of a number equals 30, find 40% of that number.
If 8% of a number equals 30, 40% of that number 150.
The percentage of a given number is the fraction of that number divided by 100.
Let assume that the unknown number is (a).
So, 8% of a = 30.i.e.
0.08a = 30Making (a) the subject of the formula now;
a = 30/0.08a = 375Now, we are meant to determine the 40% of that unknown number (a)
Since (a) has been determined to be 375.
Then, 40% of 375 is calculated as:
[tex]\mathbf{=\dfrac{40}{100} \times 375}[/tex]= 150Learn more about percentage here:
https://brainly.com/question/2155156?referrer=searchResults
Given the function g(x) = x2 + 5x + 1, determine the average rate of change of
the function over the interval -5 < x < 4.
Step-by-step explanation:
the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
so,
(g(4) - g(-5)) / (4 - -5)
g(4) = 4² + 5×4 + 1 = 37
g(-5) = (-5)² + 5×-5 + 1 = 25 - 25 + 1 = 1
4 - -5 = 4 + 5 = 9
(37 - 1)/9 = 36/9 = 4
the average change rate in that interval is 4 (or fully 4/1).
please help me I need this done
graph this line using the slope and y intercept: y=x
Answer:
done.
Step-by-step explanation:
yeah-ya..... right?
Plzzzzzz help
Use the graph to answer the questions.
At what elevation did Julio begin?
At what elevation did Kathy begin?
Elevation (miles)
Who made it to 8 miles first?
Who experienced a greater elevation change?
Ten percent of the cost of a swimming pool is $430. How much does the swimming pool cost?
Please help!What are the values of x and y? i’m so confused on this particular one.
20 POINTS
Look at the figure. How can you prove AABD and AACD are congruent?
is it
A)
B)
C)
I beileve the anwser is A
what is the answer to 10x+3x
Answer:
refer to the attachment
Step-by-step explanation:
hope that helps
Answer: 13x because you can combine them together because they both have the same variable.
how do you do this math problem 3(x-2)=9
Answer:
x=5
Step-by-step explanation:
3(x-2)=9
3x-6=9
3x=9+6
=15
x=15÷3
=5
The following expression can be solved in 5 steps using the rules of order of operations. Write the step by step solution in the spaces provided below: [(-2)²×3]÷[(-9)-5+2]Note: You may copy the question from the previous step and replace the operation performed with the result. For example, given the question 4²-6×2, you would copy the question and replace the index term in step 1: 16-6×2. For step 2, you copy the expression from step 1 and replace the product to get: 16-12. In step 3, you only have one operation left to perform so you just need to write the final answer: 4
Answer:
Step-by-step explanation:
[(-2)²×3]÷[(-9)-5+2]
=(4*3)/[(-9)-5+2]
=12/(-12)
=-1
Identify if the relation is a function & explain your answer (help please ! it’s due at 11:59) !! Tysmm
Answer:
yes it is a function
Step-by-step explanation:
reason why is if u do the virtical line text it shows that it is a function,
another explanation is it doesn't have two of the same x- values
The purpose of this form is so that your employer can withhold the correct amount of federal income tax from your pay.
I-9 form
W-4
application
Time Sheet
kelsey withdraws $25 per week from her bank account. Each week, Kris deposits $15 of his allowance and $20 earned from dog walking each week into his bank account. After how many weeks will they have the same amount of money
Answer:
Step-by-step explanation:
(-9+5) = (12 – 10)
help pls
Answer:
-4 = 2
Step-by-step explanation:
Answer:
-4 = 2
Step-by-step explanation:
What is transversal?
Answer:
A transversal is a line that intersects two parallel lines .like shown in the diagram above hope it is helpful to you please follow give brainliest ✌❣❣What is 7/56 simplified
Answer:
1/8
Step-by-step explanation:
BOOM!
Answer:
1/8
Step-by-step explanation:
broken down into fractions 1/8 is the simplest answer
half of a number gives twelve
1/2x + 12 or x/2=12
Answer:
24
Step-by-step explanation:
1/2(24) = 12
and/or
24/2 = 12
Is this what you wanted?
what is the sum of 3 - 2i and -5 + 6i?
Answer: -2 + 4i
Step-by-step explanation: I'm pretty sure you can't get the sum, but you can simplify the problem. All you need to do is combine like terms. -2i and 6i = 4i. 3 - 5 = -2.
write the equation of the line that passes through the points (8, 2) and (0, 6)
Answer:
Step-by-step explanation:
m = (y2 - y1)/(x2-x1)
m = (6-2)/(0-8)
m = 4/-8
m = -1/2
y = mx + b
(2) = (-1/2)(8) + b
2 = -4 + b
b = 6
equation of the line is:
y = (-1/2)x + 6
Identify two statements that contradict each other.
I. ZM is an obtuse angle.
II. m ZM +mZP= 90
III. 180 – mZM = 25
IV. mZP= 120
If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.
If ZP is 120, then ZM and ZP will not add up to 90.
There are multiple contradicting statements within this problem, as noted above.
Hope this helps!
Options A and B are two contradict statements.
The four statement are given, we need to find the two contradict statements.
What is an obtuse angle?The definition of an obtuse angle in geometry states that 'an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.
Here, m∠M is an obtuse angle and m∠M +m∠P= 90° are two contradict statements
Since, in m∠M +m∠P= 90° two angles adds up to 90°, so m∠M can not be obtuse angle.
Therefore, options A and B are two contradict statements.
Learn more about an obtuse angle here:
https://brainly.com/question/4022946.
#SPJ2
please help i need to solve for c by setting up an equation and then solving the equation
Answer:
x = 63.34 degree
Step-by-step explanation:
2x-10 + x = 180 as al straight lines add up to 180 degrees
3x -10 = 180
+ 10 +10
3x = 190 add 10 to both sides as shown to cancel left side
x = 190/3
x = 63.33334 degree to 5 dp
x = 63.34 degree to 2 dp.
I think of a number. Then I multiply it by 3. Then I add 4. Then I divide the answer by 4. My final answer is 3 less than the number I thought of at the beggining.
Whats the alegbrac equation?
Solve the probelm to find the number at the start.
Answer:
(3n+4)/4 = n-3
Step-by-step explanation:
n = original number
n = 16
The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
I think of a number.
Let the number be 'x'.
Then I multiply it by 3. Then the expression will be
⇒ 3x
Then I add 4. Then the expression will be
⇒ 3x + 4
Then I divide the answer by 4. Then the expression will be
⇒ (3x + 4) / 4
My final answer is 3 less than the number I thought of at the beginning. Then we have
(3x + 4) / 4 > 3
Simplify the equation, then the value x will be
(3x + 4) / 4 > 3
3x + 4 > 12
3x > 8
x > 8/3
The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
Please help and do a step by step thank you!
Answer:
y= -3x +10
Step-by-step explanation:y = mx +b where
m is your slope rise/run and
b is the y intercept
The price p in dollars and the quantity x sold of a certain product obey the demand equation -1/5x+100 (0≤ x ≤ 500)
a) Express the revenue R as a function of x. (remember, R= p.x)
b) What is the revenue if 200 units are sold?
c) What quantity x that maximizes the revenue?
e) What price should the company charge to maximize revenue?
Answer:
See belowStep-by-step explanation:
We have:
p = -1/5x + 100 = -0.2x + 100a) The revenue is:
R = px R = x( -0.2x + 100)R= -0.2x² + 100xb) x = 200, find R:
R = -0.2(200²) + 100(200) = 12000c) This is a quadratic function and the maximum value is obtained at vertex.
x = -100/(-0.2*2) = 250 is the required quantityd) The max revenue is obtained when -0.2x + 100 at max:
The maximum possible is p = 100 when x = 0Evaluate: log(a³b²/c⁴) + log(bc³/a²) - log(a/c) = ?
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to evaluate the logarithm.
Given That:
[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \bigg) + \log \bigg( \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
We know that:
[tex] \rm\red\longmapsto \log(x) + \log(y) = \log(xy) [/tex]
[tex] \rm \red\longmapsto \log(x) - \log(y) = \log \bigg( \dfrac{x}{y} \bigg) [/tex]
Therefore, we get:
[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \times \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{ {a}^{3 - 2} {b}^{2 + 1} }{ {c}^{4 - 3} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \div \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \times \dfrac{c}{a} \bigg)[/tex]
[tex] \rm = \log( {b}^{3})[/tex]
As we know that:
[tex]\rm \red\longmapsto \log( {x}^{n}) = n \log(x)[/tex]
Therefore, we get:
[tex] \rm = 3\log(b)[/tex]
If x 2 = x, then x = 1 true or false?
Answer:
False
Step-by-step explanation:
If x * 2 = x, and you use 1 as the insert for x, then you would be saying that 1 * 2 = 1, and that is incorrect.
Answer:
I assume the value is x² right from the qn.
With that
x² = x
if x = 1
then
1² = 1
hence the value is true.
plsss someone help i will give brainlyest
i need help with the photo
Answer: (n^6 j^6)/(8h^5)
Step-by-step explanation:
The k term disappears (k^5 * k^-5) = 1j^-6 moves to the top as j^6(h^-2)/((h^-6)*(h^3)) = 1/h^51/(2*2*2) = 1/8Therefore: n^6*j^6/8h^5
What is the value of x?
(The diagram)..
10
Step-by-step explanation:
x + 5 = 2x - 5
x + 5 - x = 2x - 5 - x
5 = x - 5
5 + 5 = x
10 = x
Answer:
The value of X is 10
Step-by-step explanation:
X+5=2x-5(corresponding sides of an angle)
5+5=2x-x
10=x
So,x=10