Answer:
[tex]{ \tt{let \: one \: side \: be \: s}} \\ { \bf{perimeter = 4s}} \\ 56 = 4s \\ s = \frac{56}{4} \\ { \tt{s = 14 \: cm}} \\ \\ { \bf{area = {s}^{2} }} \\ = {14}^{2} \\ { \boxed{ \tt{area = 196 \: {cm}^{2} }}}[/tex]
Answer:
A =196 cm^2
Step-by-step explanation:
The perimeter of a square is
P = 4s where s is the side length
56 = 4s
Divide by 4
56/4 = 4s/4
14 =s
The area is given by
A =s^2
A =14^2
A =196 cm^2
Doug started his math homework at 7:55 P.M. He finished all the problems at 8:15 P.M. How long did Doug spend doing his math homework?
Answer:
20 minutes
Step-by-step explanation:
If you add 20 minutes to 7:55 P.M., it becomes 8:15 P.M.
Answer:
20 minutos
Step-by-step explanation:
De 7:55 pm hasta las 8: pasaron 5 minutos, luego de 8:00 a 8:15 pm pasaron 15 minutos.
Así que sería 5 + 15 = 20 minutos
Solve the simultaneous equations
2x+4y=1
3x-5y=7
Answer:
Step-by-step explanation:
Step 1: Add -4y to both sides.
2x+4y+−4y=1+−4y
2x=−4y+1
Step 2: Divide both sides by 2.
2x
2
=
−4y+1
2
x=−2y+
1
2
Step 1: Add 5y to both sides.
3x−5y+5y=7+5y
3x=5y+7
Step 2: Divide both sides by 3.
3x
3
=
5y+7
3
x=
5
3
y+
7
3
If (x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Answer:
2x-3
Step-by-step explanation:
f (x) = 3x - 1
g(x) = x + 2
(f - g)(x) = 3x-1 - ( x+2)
Distribute the minus sign
= 3x-1 -x-2
Combine like terms
= 3x-x-1-2
= 2x-3
(f - g )( x ) = 2 x - 3
step-by-step explanation:f ( x ) = 3x - 1
g ( x ) = x + 2
(f - g )(x ) = ( 3x - 1 ) - ( x + 2. )remove unnecessary parantheses
3 x - 1 - x - 2collect like terms
3x - x - 1 -22 x -3Five athletes are in a 100k race. How many different ways can they finish based on their order?
Answer:
120 different ways
Step-by-step explanation:
The first person can be 5 different ways
Now there are 4 people left
The second person can be 4 different ways
And so on
5*4*3*2*1
120 different ways
HELP ASAP!! ILL MARK BRAINLIEST!! Anna must solve this equation.
(x^2)/4=x
Which three steps could Anna use to correctly solve the equation? Select from the drop-down menus to order the steps used to solve the equation.
Answer:
question 1:
step #1:divide both sides by x
step #2:multiply both sides by 4
step #3: plug it into equation
Step-by-step explanation:
question 1:
step #1: divide both sides by x
you get x/4 = 1
step #2:multiply both sides by 4
you get x = 4
step #3: plug it into equation
4 squared/4 = 4
If KJ=4 and KM= 2, find ML
Answer:
6
Step-by-step explanation:
(whole secant) * (external part) = (tangent)^2
(KL) * (KM) = KJ^2
(KM+ ML) * KM = KJ^2
(2+ ML) * 2 = 4^2
(2+ ML) * 2 =16
Divide each side by 2
(2+ ML) = 8
Subtract 2 from each side
ML = 6
If my weekly pocket money goes up by 50% each year . How much will I be getting a week after 3 years if I start on £1 a week ?
Answer: £3.38
Step-by-step explanation:
In the first year, the pocket money goes up by:
= 1 + (1 * 50%)
= £1.50
In the second year:
= 1.50 + (1.50 * 50%)
= £2.25
In the third year:
= 2.25 * ( 2.25 * 50%)
= £3.38
what solutions to the following quadratic
3x^2 +15x-18=0
Answer:
x=-6 and x=1
Step-by-step explanation:
Given that:
[tex]3x^2+15x-18[/tex]
Now,
[tex]3x^2+15x-18=0\\[/tex]
Using the quadratic formula where a=3, b=15, and C=-18
x=-b±[tex]\sqrt{b^2-4ac} /2a[/tex]
x=-15±[tex]{\sqrt{15^2-4(3)(-18} } /2(3)[/tex]
x=-15±[tex]\sqrt{441} /6[/tex]
the discriminant [tex]b^2-4ac>0[/tex]
So, there are two real roots
x=-15±21/6
[tex]x=\frac{6}{6} \\x=1\\x=\frac{-36}{6} \\x=-6[/tex]
Therefore, x=-6 and x=1
can someone please help!
Answer:
1. 10² = 100Step-by-step explanation:
Using this same method of solving, solve the rest. I will help you with 2 more.
5. [tex]10^6[/tex] = 1,000,000
8. [tex]10^0[/tex] = 1
A rectangular room has an area of 16m2 the length of the room is 8m work out the width of the room
Answer:
1m=1000 mm.
1m^2=(1000)*(1000)=10^6 mm^2
So just multiply the given result in m^2 by 10^6 to get the result in mm^2.
So ,16 m^2 =16*(10^6)mm^2.
Hope you got it.
find the solution to the system of equations
3x+3y+3z=27
x+3y+3z=17
x-2y-5z=0
simpifly fully, does anyone know the answer.
Answer:
Step-by-step explanation:
Note : In multiplication if the bases are same u can add their exponent while in division if the bases are same u can subtract their exponent.
Hope this helps u !!
I just have a question, how did they get 36?.
Answer:
see below
Step-by-step explanation:
They are completing the square
x^2 +12x +29
Take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 and subtract 36
(x^2 +12x +36) -36 +29
Inside the parentheses becomes ( x+6)^2
(PLEASE HELP 30 POINTS)
Select all the correct answers.
Liam owns some rectangular plots of land. All of the plots are the same length, x, and the width of each plot is 5 yards less than the length. The
total number of plots Liam owns is 20 more than the length of a plot. If the total area of all the plots Liam owns is 2,688 square yards, which
statements about the length of each plot are true?
The equation x3 - 15x2 - 100x - 2,688 0 can be used to find the length of each plot.
The equation x3 + 25x2 + 100% -2,688 = 0 can be used to find the length of each plot.
o o o o o
The equation x3 + 15x2 - 100x - 2,688 = 0 can be used to find the length of each plot.
The length of each plot is 12 yards.
The length of each plot is 8 yards.
Answer:
We have to:
"All of the plots are the same length, x"
L = x
"and the width of each plot is 5 yards less than the length"
W = x-5
"The total number of plots Liam owns is 20 more than the length of a plot"
20 + x
"the total area of all the plots Liam owns is 2,688 square yards"
A = (20 + x) * (x) * (x-5)
A = (20x - 100 + x ^ 2 -5x) * (x)
A = (x ^ 2 + 15x - 100) * (x)
2688 = (x ^ 3 + 15x ^ 2 - 100x)
x ^ 3 + 15x ^ 2 - 100x = 2688
x ^ 3 + 15x ^ 2 - 100x - 2688 = 0
Answer:
*** The equation x3 + 15x2 - 100x - 2.688 = 0 can be used to find the length of each plot.
Answer:x^3+15x^2-100x-2,688=0
Step-by-step explanation:
5. Find m
(5x- 2)
(9x - 62)
Answer:
73
Step-by-step explanation:
(9x - 62)
(9(15) - 62) =
(135 - 62) =
(73)
m∠KJL = 73
The Titanus beetle can measure 16710 centimeters in length, and the Giant Weta beetle can measure 8510 centimeters in length. How much longer is the Titanus than the Giant Weta?
Answer:
The answer you're looking for is 8,200cm
Step-by-step explanation:
Solve for ABE
(It’s for geometry)
Answer:
<ABE = 109
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(sum of Intercepted Arcs)
< ABE = 1/2 ( 38+180)
< ABE = 1/2 (218)
<ABE = 109
Answer:
Formula: Half the sum of the two arcs. So, this would be the equation:
[tex]\frac{1}{2}[/tex][tex](38[/tex]+[tex]180[/tex])
Solve:
218 / 2 = 109
Answer: 109
PLEASE HELP 25 POINTS
Evaluate 4(3 - 1)^2
O A. 16
O B. 128
O C. 64
O D. 32
The demand for energy drink as a function of price.
If I had 2 500 apples and sold 200 how much apples would I have left
Answer:
2300 apples
Step-by-step explanation:
2500 - 200 = 2300
Answer:
2300
Step-by-step explanation:
2500 - 200 = 2300
Note: "have left" means the answer after subtraction.
Need to make a rectangular pen for pigs that will enclose a total area of 169 square feet. What is the least amount of fencing that will be needed?
Answer:
The least amount of fencing needed for the rectangular pen is 72.19 feet.
Step-by-step explanation:
The area and perimeter equations of the pen are, respectively:
[tex]p = 2\cdot (x + y)[/tex] (1)
[tex]A = x\cdot y[/tex] (2)
Where:
[tex]p[/tex] - Perimeter, in feet.
[tex]A[/tex] - Area, in square feet.
[tex]x[/tex] - Width, in feet.
[tex]y[/tex] - Length, in feet.
Let suppose that total area is known and perimeter must be minimum, then we have a system of two equations with two variables, which is solvable:
From (2):
[tex]y = \frac{A}{x}[/tex]
(2) in (1):
[tex]p = 2\cdot \left(x + \frac{A}{x}\right)[/tex]
And the first and second derivatives of the expression are, respectively:
[tex]p' = 2\cdot \left(1 -\frac{A}{x^{2}} \right)[/tex] (3)
[tex]p'' = \frac{4\cdot A}{x^{3}}[/tex] (4)
Then, we perform the First and Second Derivative Test to the function:
First Derivative Test
[tex]2\cdot \left(x - \frac{A}{x^{2}} \right) = 0[/tex]
[tex]2\cdot \left(\frac{x^{3}-A}{x^{2}} \right) = 0[/tex]
[tex]x^{3} - A = 0[/tex]
Given that dimensions of the rectangular pen must positive nonzero variables:
[tex]x^{3} = A[/tex]
[tex]x = \sqrt[3]{A}[/tex]
Second Derivative Test
[tex]p'' = 4[/tex]
In a nutshell, the critical value for the width of the pen leads to a minimum perimeter.
If we know that [tex]A = 169\,ft^{2}[/tex], then the value of the perimeter of the rectangular pen is:
[tex]x = \sqrt[3]{169\,ft^{2}}[/tex]
[tex]x \approx 5.529\,ft[/tex]
By (2):
[tex]y = \frac{A}{x}[/tex]
[tex]y = \frac{169\,ft^{2}}{5.529\,ft}[/tex]
[tex]y = 30.566\,ft[/tex]
Lastly, by (1):
[tex]p = 2\cdot (5.529\,ft + 30.566\,ft)[/tex]
[tex]p = 72.19\,ft[/tex]
The least amount of fencing needed for the rectangular pen is 72.19 feet.
what is the measure of the supplement of a 65.4 angle
Answer:
65 degree angle but when straight 180 degree angle
Step-by-step explanation:
sry if wrong :)
The temperature on a thermostat is set to 72∘F, but the actual temperature can vary by as much as 2∘F. Let x represent the actual temperature to create an absolute value inequality to determine the range of possible-actual temperatures.
Any help is much appreciated :)
Using an absolute value inequality, it is found that the range of temperatures is between 70ºF and 74ºF.
---------------
The absolute value function measures the distance of a point to the origin, and is defined by:[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
---------------
The actual temperature is x, on a thermostat set to 72ºF. It can vary by as much as 2ºF, which means that the absolute value of the difference between x and 72 is at most 2, that is:[tex]|x - 72| \leq 2[/tex]
Solving the inequality:
The term is both greater or equal to -2 and at most 2, thus:[tex]x - 72 \geq >= -2[/tex]
[tex]x \geq 70[/tex]
And
[tex]x - 72 \leq 2[/tex]
[tex]x \leq 74[/tex]
Thus, the range of temperatures is between 70ºF and 74ºF.
A similar problem is given at https://brainly.com/question/24514895
Is the Function exponential?
Answer:
y = 4x+ 5 is the equation that describes the data...
that is a linear equation ... the slope is 4 thus "the y value increases 4 for every 1 unit increase in x"
Step-by-step explanation:
A rectangle has an area of 4x²-8x+3 square units. Which of the following could represent the perimeter of the rectangle in terms of x?
a. 2x-1
b. 2x-3
c. 4x-4
d. 8x-8
e. 10x-8
A hiker is standing 40 feet away from a tree that is 50 feet tall.
What is the angle of elevation from the hikers foot to the top of the tree??
HELP ME PLEASE ITS URGENT
Answer:
87.9°
Step-by-step explanation:
arctan(50/40)=87.9°
Complete the list: (i^1) = I, (i^2)=-1, (1^3) = -I,(i^4) = ?
Show work
Answer:
[tex] {i}^{1} = i \\ {i}^{2} - 1 \\ {i}^{3} = - i \\ {i}^{4} = 1[/tex]
Mark me as Brainliest
What is the original price of an item cost if the tax is 9.25% and the discount is 25% and the new price after discount and tax is $62.28?
Answer: $ 91.50.
Step-by-step explanation:
Let x be the original price.
Since discount is applied before tax.
New price = (Original price - Discount)-Tax rate (Original price - Discount)
, where Discount = Discount rate x Original price.
Substituting values, we get
[tex]62.28=(x-0.25x)-0.0925(x-0.25x)[/tex]
[tex]62.28=(0.75x)-0.0925(0.75x)[/tex]
[tex]62.28=0.75x-0.069375x[/tex]
[tex]62.28=0.680625x[/tex]
[tex]x=\frac{62.28}{0.680625}[/tex]
[tex]x=91.50[/tex]
Hence, the original price was $ 91.50.
What is the measure of x?
Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+5) *x = 6^2
x^2 +5x = 36
Subtract 36 from each side
x^2 +5x - 36 = 0
Factor
( x-4) (x+9) = 0
Using the zero product property
x-4 = 0 x+9 =0
x = 4 x=-9
Cannot be negative since that is negative length
x=4
A researcher selects a sample of participants to test for differences in employment rates among part-time and full-time teachers. Because there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job sector. Which type of quota sampling was used in this example
Answer: proportionate
Step-by-step explanation:
Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.
Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.
