Answer:
361
Step-by-step explanation:
20^2 =400
19^2 = 361
answer is 19
The square of 19 is 361 which lies between the numbers 350 and 390.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The square of a number is the multiplication of that number with itself.
The square number between 350 and 390 will be given as,
We know that the square of 18 is 324 and the square of 20 is 400.
The square of 19 is given as,
19 × 19 = 361
Then the square of the 19 will be 361.
Then the square of 19 is 361 which lies between the numbers 350 and 390.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
The length of a rectangle is 3 ft longer than its width.
If the perimeter of the rectangle is 70 ft, find its length and width.
Answer:
The length is 16 and the width is 19.
Step-by-step explanation:
We'll represent width with the letter w, and length with l.
w = l + 3
The perimeter is all four sides, so perimeter = 70ft = (2w) + (2l)
We will replace w with l + 3.
70 = 2(l + 3) + (2l)
2 (l + 3) = (l + 3) + (l + 3)
and 2l = l + l, so
70 = l + 3 + l + 3 + l + l = 4l + 6
We subtract 6 from both sides.
64 = 4l
then we divide both sides by 4
16 = l
Remember width = length + 3, so
16 + 3 = w
19 = w
Just to check:
2(length) + 2(width) = perimeter
2(16) + 2(19) = 70
32 + 38 = 70
A small dog bowl holds 75% as much as a large dog bowl.
If the small bowl holds 36 tablespoons of dog food, how much does the large
hold?
Answer:
48 tablespoonsStep-by-step explanation:
A small dog bowl holds 75% as much as a large dog bowl.
This can be expressed as:
s = 0.75l, where s - volume of small bowl, l - volume of large bowlWe are given s = 36 tablespoons, then the value of l is:
36 = 0.75ll = 36/0.75l = 48 tablespoonsAnswer:
48
Step-by-step explanation:
[tex]36 \div 75\% \\ \frac{36}{0.75} \\
multiply \: the \: numerator \: and \: the \: denominator \: with \: the \: same \: whole \: number \\ \frac{3600}{75} \\ = 48[/tex]
Prouvez par récurrence que quel que soit n EN\{0}, on a
1/1.2 + 1/2.3 + …. + 1/ n.(n+1) v= 1- 1/n+1
The left side is equivalent to
[tex]\displaystyle \sum_{k=1}^n \frac1{k(k+1)}[/tex]
When n = 1, we have on the left side
[tex]\displaystyle \sum_{k=1}^1 \frac1{k(k+1)} = \frac1{1\cdot2} = \frac12[/tex]
and on the right side,
[tex]1 - \dfrac1{1+1} = 1 - \dfrac12 = \dfrac12[/tex]
so this case holds.
Assume the equality holds for n = N, so that
[tex]\displaystyle \sum_{k=1}^N \frac1{k(k+1)} =1 - \frac1{N+1}[/tex]
We want to use this to establish equality for n = N + 1, so that
[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac1{N+2}[/tex]
We have
[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = \sum_{k=1}^N \frac1{k(k+1)} + \frac1{(N+1)(N+2)}[/tex]
[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac1{N+1} + \frac1{(N+1)(N+2)}[/tex]
[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac{N+2}{(N+1)(N+2)} + \frac1{(N+1)(N+2)}[/tex]
[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac{N+1}{(N+1)(N+2)}[/tex]
[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac1{N+2}[/tex]
and this proves the claim.
Trayvon enters a competition to guess how many balls are in a barrel. Trayvon’s guess is 63 balls. The actual number of balls is 60. What is the percent error of Trayvon’s guess?
Answer:
+5%
Step-by-step explanation:
Trayvon's guess, 63, is 3 higher than the actual number of balls. We compare 3 to 60: 3/60, or 1/20. Multiplying this result by 100%, we get 5%. The percent error is 5%.
You have 130 feet of fencing to build a rectangular sheep pen. What is the area of the
largest pen you can build?
HELP ASAP
Answer:32.5
Step-by-step explanation:
help i dont get this stuff
Order from least to greatest.
5/18, 1/4, 1/6, -0.8
I'll give you the brain thing if your right. plz help me
Answer: -0.8, 1/6, 1/4, 5/18
The negative number is the smallest. To find the order for the fractions, find a common denominator and then order them. The common denominator of 18, 4, and 6 is 36.
So, 5/18 becomes 10/36, 1/4 becomes 9/36, and 1/6 becomes 6/36.
So, the final order is -0.8, 1/6, 1/4, 5/18.
:)
The height of a building is proportional to the number of floors. The
figure shows the height of a building with 8 floors. Complete parts a
and b.
h= 128 ft
a. Write the ratio of height of the building to the number of floors. Then, find the unit rate, and
explain what it means in this situation. Fill in the correct answers to complete the sentences.
The ratio of height of the building to the number of floors is 1. The unit rate is . This means that
each floor of the building is ft high.
Answer:
Step-by-step explanation:
Ok friend
Answer:
204
Step-by-step explanation:
100
i will give brainliest if you give me the right answer.
[tex]\red{➤}\:[/tex][tex]\sf \dfrac{6+8x}{2} = 5x[/tex]
[tex]\\[/tex]
To Find:-[tex]\orange{☛}\:[/tex][tex]\sf Value \:of \: x [/tex]
[tex]\\[/tex]
Solution:-[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf \frac{6+8x}{2} = 5x \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 6+8x= 5x×2 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 6+8x= 10x \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 8x-10x= -6 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf -2x = -6 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf x = \frac{-6}{-2} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {x = 3}} \\\end{gathered} [/tex]
Remember-On Transfering the terms to other side of equation-
+ changes to -
- changes to +
× changes to ÷
÷ changes to ×
Is -1 bigger than 32 positive
No, -1 is less than 32.
-1<32
-1 is in the negatives, so its less
Hope that helped:)
A plane travel 216 miles per hour
Work out an estimate for how many seconds it takes to travel in 1 mile.
what is 0.2857142857 rounded to the nearest whole percent? pls help me
29% would be the answer if you are rounding up
Select all ratios equivalent to 3:2.
13:1
26:10
24:16
what is the volume of a cube 4cm length 4cm height 4cm width
Answer:
64
Step-by-step explanation:
because the formula for the volume of a cube is edge (4) to the power of 3
4 to the power of 3 is 64
9.
A line passes through (–7, –5) and (–5, 4).Write an equation for the line in point-slope form.
Rewrite the equation in standard form using integers.
A. y + 5 = 9/2(x – 7); –9x + 2y = 53
B. y – 5 = 9/2(x + 7); –9x + 2y = –53
C. y + 7 = 9/2(x + 5); –9x + 2y = 31
D. y + 5 = 9/2(x + 7); –9x + 2y = 53
Answer:
D. y + 5 = 9/2(x + 7); –9x + 2y = 53
Step-by-step explanation:
The equation:
y - y 1 = ( y2 - y1 ) / ( x2- x1) * ( x - x1 )
y - ( - 5 ) = ( 4 + 5 ) / ( - 5 + 7 ) * ( x - ( - 7 ) )
y + 5 = 9/2 ( x + 7 )
y + 5 = 9/2 x + 63 /2 / * 2
2 y + 10 = 9 x + 63
- 9 x + 2 x = 53
Answer:
C ) y + 5 = 9/2 ( x + 7 ) ; - 9 x + 2 y = 53
Option C is correct
Step-by-step explanation:
Point slope form:
The equation of line is given by:
....[1] where m is the slope and a point lies on the line.
Given that:
A line passes through (-7,-5) and (-5,4).
Calculate slope:
Slope is given by:
Substitute the given values we have;
Simplify:
Substitute thee value of m and (-7, -5) in [1] we have;
Simplify:
⇒
Using distributive property :
Subtract 9x from both sides we have;
Subtract 10 from both sides we have;
Therefore, an equation for the line in point-slope form is and the equation in standard form using integers is
lim x -4 sqrt x+20 - sqrt 12-x x^ 2 +3x-4 =
Step-by-step explanation:
[tex] = \lim \limits_{x \to - 4} \frac{ \sqrt{x + 20} - \sqrt{12 - x} }{ {x}^{2} + 3x - 4 } [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{ \sqrt{x + 20} - \sqrt{12 - x} }{(x + 4)(x - 1)} \times \frac{ \sqrt{x + 20} + \sqrt{12 - x} }{ \sqrt{x + 20} + \sqrt{12 - x } } [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{ {( \sqrt{x + 20} )}^{2} - {( \sqrt{12 - x} )}^{2} }{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{x + 20 - 12 + x }{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{2x + 8}{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{2 \cancel{(x + 4)}}{ \cancel{(x + 4)}(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{2}{(x + 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \frac{2}{( - 4 + 1)( \sqrt{ - 4 + 20} + \sqrt{12 + 4} ) } [/tex]
[tex] = \frac{2}{( - 3)( \sqrt{16} + \sqrt{16}) } [/tex]
[tex] = \frac{2}{( - 3)(4 + 4)} [/tex]
[tex] = \frac{2}{( - 3)(16)} [/tex]
[tex] = \frac{1}{( - 3)(8)} [/tex]
[tex] = - \frac{1}{24} [/tex]
Biggest to smallest 0.012, 0.100, 0.001 0.101
Answer:
0.101,0.100.0.012,0.001
Step-by-step explanation:
Hello!
All you have to do is look at it's place. The tenth place is the largest decimal so that would be your largest.
Answer:
0.1, 0.101, 0.12, 0.001
please help ASAPPPPPPPPPPP
Answer:
TanQ=20/21
Step-by-step explanation:
since we know that
TanQ= opposite/Adjacent
so we are going to calculate for the adjacent using Pythagoras theorem
a^2+b^2=c^2
20^2+b^2=29^2
400 + b^2=841
b^2=841-400
√b^2=√441
b=21
so our tanQ= opp/adj
tanQ=20/21
graph f(x)=3x+5 and g(x)=3x-2
Answer:
Two parallel lines
Step-by-step explanation:
the slopes are the same: slope = 3
f(x) 3x + 5 g(x) = 3x - 2
Pick at least three x values and find their corresponding values for y. Remember the f(x) and g(x) represent y
f(x) = 3x + 5 g(x) = 3x - 2
y = 3x + 5 y = 3x - 2
let x = 0 y = 3(0) + 5 y = 3(0) - 2
y = 5 y = -2
Ordered pair (0, 5) (0, -2)
Let x = 1 y = 3(1) +5 y = 3(1) - 2
y = 8 y = 1
ordered pair (1, 8) (1, 1)
Let x = -1 y = 3(-1) + 5 y = 3(-1) - 2
y = 2 y = -5
ordered pair (-1, 2) ( -1, -5)
Locate the ordered pairs and draw the graph on the lines.
you will graph two parallel lines
Find The sales price. Round to the nearest cent. Show your work
$800.25 smart TV; 56% discount
Just say 1,2,3,4,5,6 or 7 and there are more than 1 answer WORTH 90 POINTS!! HELP ME
Play Station Plus costs $60.00 for a yearly (12 Months) subscription. What is the unit price per month?
Show your work. And Explain why you pick that answer!
2
1. A local zoo had 750 visitors on Saturday. If
20% of the guests traveled Prom out of town,
how many local guests visited the zoo on
Saturday?
Answer:
600
Step-by-step explanation:
At summer camp there are 40 boys out of 70 campers.what is this ratio written in simplest form
Answer:
4/7 is the simplified answer !!
The distance, d in meters, that an accelerating object travels is given by
d=1/2*a*t^2
, where a is the acceleration rate in meters per second squared
and t is the time in seconds. A motorbike accelerates from a stop with
an acceleration of 40 meters per second squared over a distance of 60
meters. About how many seconds did the motorbike travel?
A. Between 4 and 5 B. Between 2 and 3 C. 1
D. Between 1 and 2 E. 2
Answer:
B.Between 2 and 3
Step-by-step explanation:
60÷40
=3/2
why is the imposter sus?1???111
Answer:
Step-by-step explanation:
Because he do be sussing
please help!!! Thanks!!
Answer:
C. [tex] \dfrac{\sqrt{7}}{2} [/tex]
Step-by-step explanation:
[tex] \dfrac{\sqrt{14}}{2\sqrt{2}} = [/tex]
[tex]= \dfrac{\sqrt{2 \times 7}}{2\sqrt{2}}[/tex]
[tex]= \dfrac{\sqrt{2} \times \sqrt{7}}{2\sqrt{2}}[/tex]
[tex] = \dfrac{\sqrt{7}}{2} [/tex]
Answer: C. [tex] \dfrac{\sqrt{7}}{2} [/tex]
guys please help i’m so confused
Answer:
4
Step-by-step explanation:
(x1,y1)(x2,y2)
(2,8) (0,0)
0-8 / 0-2 = -8/-2
simplify -8/-2 = 4
Answer:
4.
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
- that is rise / run.
We use the points (2, 8) and (2,0) ( - the last point is vertically below (2,8) and is on the x axis)
Here y2 = 8, y1 = 0, x2 = 2 and x1 = 0.
So the slope = (8-0)/(2-0)
= 4
What is the correct answer
Answer:
Mia
Step-by-step explanation:
The slope is 6 using y = mx + b where m is the slope
Ordered pair (0, 4) and (-1, -2) are points on the blue line. Check to see if the slope = 6.
Slope = (change in the y-values)/(change in the x-values)
Slope = (-2 - 4)/(-1 - 0)
Slope = -6/ -1
Slope = 6
Therefore Mia is correct.
Daniel sells bracelets for $0.5 each. How many bracelets can he sell for $6.35
Answer:
He can sell 12 bracelets.
Step-by-step explanation:
6.35/0.5 will give u your answer!
Arrange from least to greatest
5/8, 1/3, 2/5, 1/2, 3/4, 1/10
I can't think of a single number that they all go into so if anyone could help me figure this out, I'd be super grateful
Answer:
1/10, 1/3, 2/5, 1/2, 5/8, 3/4
