SHORT ANSWER
Write each of the numbers 1, 4, 9, 16, and 25 as a base raised to the
second power. Explain why these numbers sometimes are called perfect squares
Answers
Answer:
because their principal square roots are also positive integers, square roots of numbers which are not perfect squares like 2 are irrational
step by step:
The square of a number is the number you get ehen you multiply that bumber by itself. so if n is a number then nxn = n2 is the 'square of n' it is called that because the area of a square whose edge lengh is n units is n2 square units
perfect square numbers are the numbers which are ths squares of the positive integers
Related Questions
The sum of four consecutive odd integers is 328. What are the integers? (show your work)
Answers
Answer:
79, 81, 83, and 85
Step-by-step explanation:
x = 1st integer
x+2 = 2nd
x+4 = 3rd
x+6 = 4th
328 = sum
x+x+2+x+4+x+6 = 328
328/4 = 82
The 4 integers are the 2 odd integers on either side of 82 and closest to 82
That would be 79, 81, 83, and 85.
79 + 81 + 83 + 85 = 328
A: If the measure of 1 = 150° then the measure of 6 =
B: If the measure of 3 = 42°, then the measure of 5 =
C: If the measure of 6 = 28°, then the measure of 3 =
Answers
Answer:
6=30
5=138
3=152
Step-by-step explanation:
Hope this helps!
*please mark my answer as brainliest :)
B: 138° Explanation: 5 is congruent to 1. 180-42=138
C: 28° Explanation: 6 and 3 are both vertical angles meaning they are congruent to each other.
(p^2/(y-p)^y)-(2p/(y-p)^y-1)+(1/(y-p)^y-2))
Answers
The table displays the mean name length for seven samples of students.
Sample
Mean Name Length
1
5.4
2
7.1
3
6.3
4
5.2
5
6.0
6
4.9
7
6.2
What can be said about the variation between the sample means?
The variation between the sample means is small.
The variation between the sample means is large.
The variation shows that the values are far apart.
The variation cannot be used to make predictions.
Answers
Answer:
A ✔
Step-by-step explanation:
Someone plz help me :(
Answers
Answer:
C
Step-by-step explanation:
Easy as
9,4
2,4
4-4 0 Distance
9-2
7 distance
Hope this helps!
x^2 + y^2 - 6x + 8y = 144
The equation of a circle in the xy-plane is shown
above. What is the diameter of the circle?
Answers
The diameter of the equation of a circle in the xy-plane as shown is 26 units.
The standard form for finding the equation of a circle is expressed as:
[tex]x^2 + y^2 +2gx + 2fy +C= 0[/tex]
For us to get the diameter of the circle, we need to get the radius of the circle first calculated as shown:
[tex]r=\sqrt{g^2+f^2-C}[/tex]
Given the equation of the circle expressed as [tex]x^2 + y^2 - 6x + 8y = 144[/tex]
Compare with the general formula:
2gx = -6x
g = -6/2
g = -3
Similarly;
2fy = 8y
2f = 8
f = 4
C = -144
Substitute into the formula for calculating the radius;
[tex]r=\sqrt{(-3}^2+4^2-(-144)\\r=\sqrt{9+16+144}\\r=\sqrt{169}\\r=13units[/tex]
Get the diameter of the circle
d = 2r
d = 2(13)
d = 26 units
Hence the diameter of the equation of a circle in the xy-plane as shown is 26 units.
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What percent is 15 of 50? Explain the steps in finding the percent
Answers
= 7.5
15 is 30% of 50. This is found by setting up a proportion: 15/50 = Percent/100, solving for Percent gives 30.
Let's call the part we're trying to find the percent of the "portion."
Portion = 15 (the value you want to find the percent of)
Total = 50 (the total value or whole)
Set up the proportion.
The ratio of the portion to the total as a percent, so we can set up a proportion:
Portion / Total = Percent / 100
Plug in the values.
Portion / 50 = Percent / 100
Solve for the percent:
Portion × 100 = 50 × Percent
Divide both sides by 50:
Percent = (Portion × 100) / 50
Calculate the percent:
Percent = (15 × 100) / 50
Percent = 1500 / 50
Percent = 30
Therefore, 15 is 30% of 50.
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I need help in this, help please.
Answers
9514 1404 393
Answer:
x = 21
y = 60
Step-by-step explanation:
We assume the marks are angle measures.
The angles of a linear pair are supplementary:
(3x +5) +(6x -14) = 180
9x -9 = 180 . . . . simplify
9x = 189 . . . . . . add 9
x = 21 . . . . . . . divide by 9
__
At parallel lines, corresponding angles are congruent.
y +8 = 3x +5 = 3(21) +5 = 68
y = 60 . . . . . subtract 8
how do I rewrite the equation of velocity, so that I'm solving for time and no velocity?
V= D/T is the formula for solving for velocity
Answers
Answer: V/D = T
Step-by-step explanation:
Consider the graph of this absolute value function. Drag and drop the choices to the boxes to correctly describe the end behavior of the function. Correct answers only
Answers
Answer:
See belowStep-by-step explanation:
This function has a minimum value at vertex (3, -1) and maximum value is infinity.
As x → ∞ f(x) → ∞As x → - ∞ f(x) → ∞Hello I need help asap pleaseeee
Answers
X Equation practice with angle ad MZQPS is a straight angle. mZQPR = 7x - 4 10 mZRPS = 9x - 40 °
Answers
x=2
Step-by-step explanation:
is a equation is simple
can anyone help me??
Answers
Answer and Step-by-step explanation:
To find the third side, we can use the Pythagorean Theorem.
The theorem states that if a triangle is a right triangle, and we already have two sides, we are able to find the third side.
The Pythagorean Theorem Formula is the following:
[tex]A^2+B^2=C^2[/tex]
A is any of the bases
B is the other base (you can make this the height)
C is the hypotenuse (the longest side)
We are given B and C, so lets plug them into our formula and solve for A.
[tex]A^2 + (4\sqrt{3} )^2=8^2[/tex]
Subtract [tex](4\sqrt{3} )^2[/tex] from both sides of the equation.
[tex]A^2=8^2 - (4\sqrt{3} )^2[/tex]
Now take the square root of both sides of the equation.
[tex]A=\sqrt{8^2 - (4\sqrt{3} )^2}[/tex]
Now plug this into your calculator and solve.
We get the answer to be:
4
#teamtrees #PAW (Plant And Water)
I hope this helps!
________
[tex] \: [/tex]
a² = c² - b²
a² = 8² - (4√3)²
a² = 64 - 48
a² = 16
a = √16
a = 4
What is the slope-intercept equation
for the following line?
Answers
Answer:
y=2x+8
Step-by-step explanation:
Hope this helps! :)
Ken painted 14 meters of fencing in 1 hour. How many centimeters of fencing can he paint in 45 minutes?
Answers
Answer:
.
Step-by-step explanation:
We have to know desired/current measurement. This is not to bad of a question.
14m X 100cm X 1 h
—— ———— —— =23.333333cm/min
1h 1m 60 min
4 increased by three-fifths of a number is 49. What is the number?
Answers
Answer:
75
Step-by-step explanation:
Let n be the unknown number
4+3/5n=49Isolate variable- 3/5n=45Multiply by 5/3- n=75Answer:
the number is 49
Step-by-step explanation:
first, write an equation based on the words
4 increased by= 4+
three fifths of a number = [tex]3/5 * n[/tex]
is 49: =49
now, put it together: [tex]4 + 3/5*n=49[/tex]
Now, solve
4 + 3/5*n=49
4-4=0 49-4= 45
3/5*n=45
3/5*n / 3/5= n 45/ 3/5= 75
n=75
hope this helps:)
please crown me brainliest!!!
If c (x) = 5 Over x minus 2 and d(x) = x + 3, what is the domain of (cd)(x)?
Answers
The domain of the function (cd)(x) will be all real values of x except x = 2.
Step-by-step explanation:
The two functions are c(x)=
[tex] \frac{5}{ \times - 2} [/tex]
and d(x) = x + 3
So, (cd)(x) =
[tex]( \frac{5}{ \times - 2} )( \times + 3) = 5\frac{( \times + 3)}{ \times - 2} [/tex]
Therefore, the domain of the function (cd)(x) will be all real values of x except x = 2. (Answer)
What is 1 + 1 + 2 - 7 + 4? Take your answer and make it x. X + 4 - 2 + X. What is the final answer?
Answers
Answer:
(b)
Step-by-step explanation:
1. In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:
(a) 5, (b) 7, (c) 10, (d) 12, (e) 14
Solution:
Let the number of cows be x and their legs be 4x.
Let the number of chicken be y and their legs be 2x.
Total number of legs = 4x + 2y.
Total number of heads = x + y.
The number of legs was 14 more than twice the number of heads.
Therefore, 2 × (x + y) + 14 = 4x + 2y.
or, 2x + 2y + 14 = 4x + 2y.
or, 2x + 14 = 4x [subtracting 2y from both sides].
or, 14 = 4x – 2x [subtracting 2x from both sides].
or, 14 = 2x.
or, x = 7 [dividing by 2 on both sides].
Therefore, the number of cows = 7.
Answer:
4
Step-by-step explanation:
When you add them the answer is 1.
Now our equation is X plus 4 minus 2 plus X so we will substitute X to our answer which would be
(1) plus 4 -2 plus (1)
1 plus 4 - 2 plus 1
equals to 4
Our answer is 4
PLS HELP ME WITH THIS QUESTION!!!!!!!!
Answers
Answer:
G
Step-by-step explanation:
a + b + c = 80
Express a and c in terms of b using the ratios in fractional form, that is
[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3a = 2b ( divide both sides by 3 )
a = [tex]\frac{2}{3}[/tex] b
[tex]\frac{b}{c}[/tex] = [tex]\frac{3}{11}[/tex] ( cross- multiply )
3c = 11b ( divide both sides by 3 )
c = [tex]\frac{11}{3}[/tex] b
Substitute the values for a and c into the original equation
[tex]\frac{2}{3}[/tex] b + b + [tex]\frac{11}{3}[/tex] b = 80 ( multiply through by 3 to clear the fractions )
2b + 3b + 11b = 240 , that is
16b = 240 ( divide both sides by 16 )
b = 15 → G
Y=x^3 - 3x^2 - 72x - 10
Answers
Answer:
x=7
Step-by-step explanation:
Because im right
Which of the statements is true regarding the graph below.
A: The graph does not have a range.
B: In the graph, y varies directly with x.
C: The graph does not represent a function
D: The graph represents a function
Answers
Answer:
the graph does represent a function
Select why this equation is true or false without adding.
52 + 27 = 49 + 24
A. )True because, if we compare 52 to 27 and 49 to 24 they are exactly the same
distance apart on a number line. They just have different starting and ending points.
B.). True because, both 52-27 and 49-24 result in the same answer of 25.
C). False because, if 3 is subtracted from 52 to get 49, then, 49 and 27 more would not
equal 49 and 24 more. Putting together two larger numbers is not the same as
putting together two smaller numbers.
D). False because 52 + 27 does not equal 49
.
Answers
False because if 3 is subtracted from 52, then 49 and 27 more would not equal 49 and 24 more. Putting together two larger numbers is not the same as putting together two smaller numbers.
=======================================================
Explanation:
If we break up 52 into 49+3, then we can do the following rearrangement.
52 + 27 = 49 + 24
49 + 3 + 27 = 49 + 24
3 + (49+27) = 49 + 24
Notice that the 49+27 on the left is clearly larger than 49+24 on the right, mainly due to the 27 being larger than 24.
Then adding on 3 more means that the left side gets even larger.
So without having to add either side and simplify fully, we can see that the left side is larger than the right side. There's no way the two sides are the same number.
----------
Perhaps another quick way is to simply look at the units digits.
The 2 and 7 from 52 and 27 add to 2+7 = 9
The 9 and 4 from 49 and 24 add to 9+4 = 13 and we only care about the 3
The mismatch of the 9 and 3 is more evidence that the two sides aren't the same number.
Renee recieved $35.75 for selling 55 candy bars for a school fundraiser. At what rate was Renee selling each candy bar?
Answers
Answer:
every 1 candy bar sold she earned 0.65 cents
Step-by-step explanation:
Answer:
35.75$/55=0.65$
Step-by-step explanation:
Consider the figure below where MN is parallel to PQ, angle PTS is equal to (19x +5) and angle NST is equal to (17x +15), determine angle MSR and angle STQ
Answers
From the figure shown where MN is parallel to PQ:
m<MSR = 100°
m<STQ = 80°
By carefully observing the figure shown:
<MSR is vertically opposite to <NST
Vertically opposite angles are equal
m<NST = (17x + 15)
<NST is alternative to <PTS
Alternative angles are equal
Therefore, m<NST = m<PTS
m<NST = 17x + 15
m<PTS = 19x + 5
17x + 15 = 19x + 5
19x - 17x = 15 - 5
2x = 10
x = 10/2
x = 5
m<NST = 17x + 15
m<NST = 17(5) + 15
m<NST = 100°
Since m<MSR = m<NST
m<MSR = 100°
m<PTS = 19x + 5
m<PTS = 19(5) + 5
m<PTS = 100°
m<PTS + m<STQ = 180° (Sum of angles on a straight line)
100 + m<STQ = 180
m<STQ = 180 - 100
m<STQ = 80°
From the figure shown where MN is parallel to PQ:
m<MSR = 100°
m<STQ = 80°
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Express 120 as the product of its prime factors.
Write the prime factors in ascending order.
Answers
Answer:
120 = 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24, 6 x 20, 8 x 15, or 10 x 12. Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Prime factorization: 120 = 2 x 2 x 2 x 3 x 5, which can also be written 120 = 2³ x 3 x 5.
Step-by-step explanation:
Which expression is equal to “8 less than the product of y and 9"'?
Answers
Answer:
Which expression is equal to “8 less than the product of y and 9"'?
Step-by-step explanation:
seconds is given by the polynomial - 16² +1160. Find the height of the object at t = 7 seconds.
Answers
Answer:
use trial and error
Step-by-step explanation:
lma0
25/36 x 1 1/10 x 1 1/10 in simplest form
Answers
Answer:
121/144
Step-by-step explanation:
Helppppp i need the x-int
Y-int and the vertex
Answers
x int is 0,0 y int is 0,0
Step by step in the picture attached
Question
Write 5x−y=14 in slope-intercept form.
Answers
Answer:
y=5x-14
Step-by-step explanation:
hope this helps!