[tex]\mathbb{FINAL\:ANSWER:}[/tex]
[tex]\huge\boxed{\sf{True}}[/tex]
[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]
Hi! Hope you are having a nice day!
Yes, the square of a rational number is always positive.
We know that a negative times a negative equals a positive only.
Well, a negative squared also equals a positive.
For example, (-4)² is equal to 16.
Because
(-4)×(-4)=16
A negative times a negative is a positiveHope you could understand everything.
#CarryOnLearning
Nahid is payed 200$ a week + 5% of her sales during the week. The equation p=0.05s represents nahids pay for the week. P represents the total pay for week and s represents her total sales. If nahid was payed 290 at the end of the week, use the equation to determine how much did she sold.
Answer:
She sold $1800 worth.
Step-by-step explanation:
290-200=90
90 x 20 because 100÷5=20
90 x 20 = 1800
$1800
find value of x if x+4²
Answer:
x = - 16
Step-by-step explanation:
Value of RHS is not given. If it's 0, then,
x + 4² = 0
x = 0 - 4²
x = 0 - 16
x = - 16
_______
Hope it helps ⚜
Answer:
x = -16
Step-by-step explanation:
=> x = ?
=> x + 4² = ?
=> x + 16 = ?
=> x = -16
I HOPE IT HELPS YOU PLEASE MARK ME BRAINLIEST:)The question is in the picture!! Thank you in Advance
Answer: Series diverges to infinity
========================================================
Explanation:
The leading terms of the numerator and denominator are 5n^5 and 4n^5 respectively. They divide to 5/4. The n^5 portions cancel.
As n approaches infinity, the nth term of the sequence is going to approach 5/4 = 1.25 which is larger than 1.
Adding stuff to a series that's larger than 1, and doing so infinitely many times, means that the partial sums explode to infinity. The partial sums do not approach a finite value. Therefore, this series diverges to infinity.
Use substitution to solve the system of equations
y=x+1.75 4x-2y = 4
Answer:
y=x+1.75
4x-2y = 4
The answer is (3. 75, 5.5)
Step-by-step explanation:
If you plot the two equations on Desmos' Graphing Calculator, you will see that the solution is intersected at (3.75, 5.5).
Today only, a suit is being sold at a 67% discount. The sale price is $270.60.
What was the price yesterday?
Answer:
$820.00
Step-by-step explanation:
x = price yesterday (initital price)
If it is 67% off, then the price is 33% of the initial.
x(.33) = 270.60
divide .37 on both sides
x = 820.00
The price of the suit yesterday is $820.00.
<2 is a complement of <4, and m<2 = 51°. Find m<4.
39°
102°
51
129°
Answer:
39°
Step-by-step explanation:
Angles that are complement to one another add up to 90 degrees.
This means that Angle 4 + 51 = 90Now, to find the measure of Angle 4, we subtract 51 from 90.
[tex]90-51[/tex] [tex]39[/tex]Therefore, the answer is 39°.
The side length of a square ABCD is 18 inches. What is the side length of the square formed by joining the midpoints of the sides of ABCD
=[tex]9\sqrt{2}[/tex]
Anotha oneee, irrelevant answers will be deleted. Thank you so much!!
Answer:
k = 5/7; y = 5vw/(7z)w = 18/5; y = 10vw/zy = 3/2; k = 96v = 5/6; k = 8y = 168/5; y = 6vw/zStep-by-step explanation:
As with other forms of direct and inverse variation, the "constant of variation" (k) is the constant multiplier in the equation. "Varies directly" means the independent variable is in the numerator. "Varies inversely" means the independent variable is in the denominator. The variation equation can be solved for missing values of constants or variables.
The equation for "varies directly with v and w, and inversely with z" means the equation is of the form ...
y = k·v·w/z
Then the values of v or w are ...
v = y·z/(k·w)
w = y·z/(k·v)
__
a)k = y·z/(v·w) = 5·24/(12·14) = 5/7; the equation is y = 5·v·w/(7·z)
b)w = y·z/(k·v) = 18·8/(10·4) = 18/5; the equation is y = 10·v·w/z
c)k = 3/2 (read from the equation); y = (3/2)v·w/z = 3·16·24/(2·6) = 96
d)k = 8 (read from the equation); v = y·z/(k·w) = 20·2/(8·6) = 5/6
e)y = k·v·w/z = 6·12·7/15 = 168/5; the equation is y = 6·v·w/z
What need help fast please
4. Magnus flips a fair coin once and rolls an ordinary dice once.
a) Write down all the possible outcomes.
b) Find the probability that Magnus gets a head and a 3.
The possible outcomes of the fair coin and the dice is the sample space
The list of possible outcomes is: {H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}The probability of getting a head and a 3 is 1/12How to list the possible outcomesThe items are given as:
Coin = 1
Dice = 1
The sample space of both items are:
Coin = {H,T}
Dice = {1,2,3,4,5,6}
So, the list of possible outcomes is: {H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}
The probability of getting a head and a 3From the above list, there is only one outcome that has a head and a 3 out of 12 possible outcomes
So, the probability of getting a head and a 3 is:
p = 1/12
Hence, the probability of getting a head and a 3 is 1/12
Read more about probability at:
https://brainly.com/question/25870256
A number increased by 15 equals70. Wath is the number
Answer:
55
Step-by-step explanation:
55+15=70 and u could also say 15 from 70 =55
A colony of 100 bacteria doubles in size every 60 hours. What will the population be 180 hours from now?
Answer:
600
Step-by-step explanation: [tex]100\times2\times\frac{180}{60}[/tex]
Cross out the common factor
[tex]100\times2\times3[/tex]
Calculate the product or quotient
[tex]200\times3[/tex]
[tex]600\ YOUR\ ANSWER\ which\ can\ also\ be\ written\ as\ 6\times{10}^2\[/tex]
I hope this helps you
:)
If the initial population of the bacteria is 100, then the population of the bacteria after 180 hours will be 800.
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
A colony of 100 bacteria doubles in size every 60 hours.
The exponential relation will be given below.
[tex]\rm P = 100 \times 2^{t/60}[/tex]
Where t is the number of hours
Then the population of the bacteria after 180 hours will be
[tex]\rm P = 100 \times 2^{t/60} \\\\P = 100 \times 2 ^{180/60}\\\\\rm P = 100 \times 2^{3}\\\\\rm P = 100 \times 8\\\\\rm P = 800[/tex]
More about the exponent link is given below.
https://brainly.com/question/5497425
A square and a rectangle have the same area. The square has side length 8 in. The length of the
rectangle is four times its width. What is the length of the rectangle?
The first step we take is to find the area of the square since the area of the square is equal to the area of the rectangle
[tex]area-of-rectangle = area- of-square\\area-of-rectangle = 8*8 = 64in^2[/tex]
Another fact we know is that the length of the rectangle is four times the width.
L = 4W
L: Length's lengthW: Width's lengthNow let's put the variables, found above, into the format to find the area of the rectangle
[tex]area-of-rectangle = L * W, (L = 4W)\\area-of-rectangle = 4W * W\\\\64 = 4W^2\\16 = W^2\\\\W^2 = 16\\\\W = 4[/tex]
Since the Width is 4, L = 4 * W = 4 * 4 = 16 in.
So the length is 16 inches
Hope that helps!
What is the positive solution to the equation:
x^2=64
WILL RECEIVE BRANLIEST IF YOU EXPLAIN YOUR ANSWER
Answer:
8
I really hope this helped! :D
Step-by-step explanation:
X squared is equal to 64.
That also means X is the square root of 64.
8*8=64
8 Is the square root of 64, meaning it's also X.
Remember, when you square a number, you multiply it to itself.
8^2= 8*8
4^2=4*4
2^2= 2*2
So on, so forth.
Simplify the expression below.
–3 X5 X(-9) X (-2)
Answer:
[tex] - 3 \times 5 \times - 9 \times - 2 \\ - 15 \times + 18 = 3[/tex]
A cylinder has a height of 17 centimeters and a diameter of 18 centimeters. What is its
volume? Use a * 3.14 and round your answer to the nearest hundredth.
Answer:4323.78cm^3
Step-by-step explanation:
Math Question, help please
Answer: 254.34 yd
Step-by-step explanation:
If the diameter is 18 yd then the radius:
radius = diameter/2
r = 18/2
r = 9 yd
So the area is:
[tex]A = \pi r^2\\= \pi (9)^2\\= (3.14)(81)\\ =254.34 \hspace2yd[/tex]
Therefore, the area of the circle is 254.34 yd
What is the GCF of the numerator and denominator in the following fraction?
Answer:
What's the fraction
Step-by-step explanation:
I need to know the fraction in order to solve
tan7A - tan4A - tan3A = tan7A*tan4A*tan3A
answer is tan 7 a 4 a tan4a
to solve m + 9 = 45, should you add or subtract 9 from both sides of the equation
Answer:
subtract 9 from both sides
Step-by-step explanation:
m + 9 = 45 ( subtract 9 from both sides )
m = 36
Answer:
Subtract
Step-by-step explanation:
You should subtract since the equation says to add.
You basically do the opposite of what it says.
For example, if it was m - 9 = 45 you would add 9 on both sides, but in this case, you would subtract since its m + 9 = 45
m + 9 = 45
subtract nine by 9 and 45:
m = 36
36 + 9 = 45
A statistician takes several random surveys, each of 50 middle school students, to determine the favorite pizza topping of middle school students. The table
shows the mean results from all the surveys.
Pizza Topping Average of Surveys
extra cheese
pepperoni
pineapple
13
17
8
5
sausage
vegetables
7
Which we statements are valid inferences that can be made based on the data collected?
On average, of students prefer pineapple.
On average, tv of students prefer either pineapple or vegetables,
On average, of students prefer either pepperoni or pineapple.
On average, about 10% of students prefer sausage.
On average, about 50% of students prefer elther extra cheese or pepperoni
Answer:
I'd say On average, about 50% of students prefer elther extra cheese or pepperoni and On average, 1/4 of students prefer pineapple.
Also i tried my hardest to read the picture you took, so im assuming that the pineapple statement is 1/4 correct me if i'm wrong
Help pls get 35pts plsss
Answer:
above is the solution to the question
please help me answer these 2
Answer:
y-2/3x-4
the answer is (0,3)
3x+4y-12
the answer is (0,3)
HELP ASAP!!!
Find the value of X. Leave your answer in simplest radical form.
Answer:
x=3
Step-by-step explanation:
Check the picture
Write as an equation.
Answer:
10
Step-by-step explanation:
(5+x=15)☞︎︎︎(Equation)
5-5+x=15-5
X=10
Find the remainder when p(x) = x4 - 27 is divided by x - 4.
Answer:
229 is the remainder.
Explanation:
In order to find the remainder, insert the value of x in the equation.
Given equation:
[tex]\sf p(x) = x^4 - 27[/tex]Given x value:
x - 4 = 0x = 4Find remainder:
[tex]\sf p(4) = 4^4 - 27[/tex]
[tex]\sf p(4) = 256 - 27[/tex]
[tex]\sf p(4) = 229[/tex]
Answer:
229
Step-by-step explanation:
Here we are given a polynomial p(x) and we need to find the remainder when it is divided by (x-4) . As we know that if a polynomial, say [tex]g(x)[/tex] is divided by [tex]x-a[/tex] then the remainder is [tex]g(a)[/tex] .
Firstly equate [tex] x -4[/tex] with 0 , we have;
[tex]\longrightarrow x -4=0\\[/tex]
[tex]\longrightarrow x =0+4\\ [/tex]
[tex]\longrightarrow x = 4 [/tex]
Now substitute [tex] x =4[/tex] in [tex]p(x)[/tex] ,
[tex]\longrightarrow p(x)= x^4-27\\[/tex]
[tex]\longrightarrow p(4)= (4)^4-27\\[/tex]
[tex]\longrightarrow p(4) = 256 - 27 \\[/tex]
[tex]\longrightarrow \underline{\underline{\boldsymbol{ p(4) = 229}}}[/tex]
Hence the remainder is 229 .
Does anyone know the answer
Answer:
B
Step-by-step explanation:
3x + 7y = - 49 → (1)
10x - 7y = - 42 → (2)
adding (1) and (2) term by term will eliminate y
13x + 0 = - 91
13x = - 91 ( divide both sides by 13 )
x = - 7
substitute x = - 7 into either of the 2 equations and solve for y
substituting into (1)
3(- 7) + 7y = - 49
- 21 + 7y = - 49 ( add 21 to both sides )
7y = - 28 ( divide both sides by 7 )
y = - 4
solution is (- 7, - 4 ) → B
are these similar
(the second one)
Problem 2
Answer: Not similarWhy not? Well it's because the angles do not match up perfectly.
The triangle on the left is a 30-60-90 triangle; while the triangle on the right is a 40-50-90 triangle. The numbers mentioned are the angle values.
Only the "90"s match up, but everything else does not. We need to have three pairs of congruent angles to be able to use the angle angle (AA) similarity theorem.
The graph of a function f is shown below find f(-2).
Answer:
-3
Step-by-step explanation:
when you look at it go to where x is -2 then go down to where the blue line goes on the point
Mand N are two points on the circumference of a circle
centre O.
The straight line AMB is the tangent to the circle at M.
Angle MON = y
Prove that angle BMN = 1/2 y
Explanation:
We can make use of the symmetry of the problem and properties of similar triangles.
Here's a "paragraph proof."
Draw line OP perpendicular to chord MN, such that P lies on line MB. Let the point of intersection of OP with chord MN be designated point Q. Line OP bisects angle MON, so has measure y/2.
Triangles OPM and MPQ are similar (by AA similarity; both right triangles contain angle OPM), so angle QMP ≅ angle MOP. As we observed above, angle MOP has measure y/2, so angle QMP has measure y/2.
Angle BMN is another name for angle QMP, so it has measure y/2.
__
Additional comments
By the HL congruence postulate, the perpendicular bisector of chord MN divides triangle MON into two congruent right triangles. (OM≅ON, MQ≅NQ). That means ∠MOQ≅∠NOQ, so OQ bisects angle MON, as we say above.
__
Another way to come to the desired conclusion is to recognize that for any point X on long arc MN, angle MXN will have measure y/2. (inscribed angle theorem) This remains true in the limit as X approaches M. As X approaches M, secant XM approaches tangent line MB. So, in the limit, angle BMN is y/2.