Answer:
length = 1273.2 cm or 12.73 m
Step-by-step explanation:
Assume no loss.
diameter of wire, d = 2 mm
radius of wire, r = 1 mm = 0.1 cm
Volume of block, V = 5*4*2 = 40 cm^3
cross sectional area of wire, A = pi (r^2) = pi 0.1^2 = 0.01pi cm^2
Length of wire
= V/A
= 40 cm^3 / 0.01pi cm^2
= 4000/pi cm
= 1273.2 cm
= 12.73 m
A triangle has a base 12 inches and the height of 5 inches if 6 of these triangles are put together to form a hexagon what would be the area of the hexagon?
What are the square roots of; (note: i think there are supposed to be 2 each) 36 12 1.96 0.64 400 25/36
Answer:
36 : 6 and -6
12 = [tex]2\sqrt{3} , -2\sqrt{3}[/tex]
1.96 =1.4 and -1.4
0.64 : 0.8 and -0.8
400 : 20 and -20
25/36 = 5/6 and -5/6
Step-by-step explanation:
we know that
(-x)^2 = x^2
ALSO
(x)^2 = x^2
thus, square of both negative and positive number is same positive number.
_________________________________________________
36 = 6*6
36 = -6*-6
hence
square roots of 36 is both -6 and 6
12 = 4*3 = [tex]2^2*\sqrt{3} *\sqrt{3}[/tex]
[tex]\sqrt{12} = 2\sqrt{3}[/tex]
also
12 = [tex]-2\sqrt{3} *-2\sqrt{3}[/tex]
[tex]\sqrt{12} = -2\sqrt{3}[/tex]
___________________________________
1.96 = 196/100 = (14/10)^2
1.96 = 196/100 = (-14/10)^2
hence
[tex]\sqrt{1.96} = 14/10 \ or -14/10[/tex]
_______________________________
0.64 = 64/100 = (8/10)^2 = 0.8^2
0.64 = 64/100 = (-8/10)^2 = (-0.8)^2
Thus, square root of 0.64 = 0.8 and -0.8
_________________________________
400 = 20^2
400 = (-20)^2
[tex]\sqrt{400} = 20\\\sqrt{400} = -20\\[/tex]
__________________________________
25/36 = (5/6)^2
25/36 = (-5/6)^2
[tex]\sqrt{ 25/36} = 5/6 \\\sqrt{ 25/36} = (-5/6[/tex]
This is a Muti-Question From 3 different Questions ____________________________________________________________________Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Bonnie withdrew $1,200 from her savings account. She spent of the money on travel arrangements. She spent of the remaining amount at the hardware store. Finally, she treated her friend to lunch with some of the remaining money. After lunch, Bonnie had $300.50 left. How much money did Bonnie spend on lunch? Bonnie spent $_____ on lunch. __________________________________________________________________ Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. At the farmers market, Nathaniel buys two dozen oranges at $3.50 per dozen, four kilograms of apples at $3.25 per kilogram, two kilograms of carrots at $1.90 per kilogram, and one kilogram of potatoes for $1.20. He received a 5% discount off his total bill. How much money did Nathaniel spend on fruits and vegetables at the farmers market? Nathaniel spent $______ at the farmers market. __________________________________________________________________ elect the correct answer. A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it win to finish the season with a 90% winning percentage? A. 12 B. 14 C. 15 D. 27 Please Help me with these 3 Questions!
Answer:
23.75
Step-by-step explanation:
IM GANNA HELP FOR THE SECOND ONE CUZ THE FIRST QUESTION DOESNT HAVE SOME VALUES AND THE THIRD IS KINDA HARD
BUT I HOPE I HELPED
the question:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. At the farmers market, Nathaniel buys two dozen oranges at $3.50 per dozen, four kilograms of apples at $3.25 per kilogram, two kilograms of carrots at $1.90 per kilogram, and one kilogram of potatoes for $1.20. He received a 5% discount off his total bill. How much money did Nathaniel spend on fruits and vegetables at the farmers market? Nathaniel spent $______ at the farmers market.
nathaniel got 2 dozen so 7$ for the oranges
4 kg so 13$ for apples
2 kg so 3.8$ for carrots
1 kg so 1.2$ for potatoes
LETS ADD IT TOGETHER
25$ TOTAL
DISCOUNT=5%
5% OF 25 IS 1.25
SO 25-1.25=23.75
SO NATHANIEL SPENT 23.75$ IN ALL
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
can anyone plz help me?
Answer:
SAS Postulate
Step-by-step explanation:
In EDG & ADC ,
1) AD = ED ( given )
2)angle( EDG ) = angle ( ADC )................ [ Vertical Opposite Angles are equal ]
3) GD = CD ( D is the mid - point of CG )
So triangles EDG & ADC are congruent by SAS postulate....
In square units, what is the area of the sector that is not shaded?
Answer:
[tex] A = 350\pi \approx 1100 [/tex]
Step-by-step explanation:
The shaded area is a sector with a central angle of 45 deg.
The total measure of the central angle of a full circle is 360 deg.
The central angle of the unshaded sector is
360 deg - 45 deg = 315 deg
The area of a sector of a circle with a central angle of n degrees and a radius r is
[tex] A = \dfrac{n}{360}\pi r^2 [/tex]
[tex] A = \dfrac{315}{360}\pi \times 20^2 [/tex]
[tex] A = 350\pi \approx 1100 [/tex]
Which line will have no solution with the parabola y - x + 2 = x2?
5
3+
N
-5 -4 -3 -4
2 3 4 5 X
th
-3
44+
-5
Answer:
yes
Step-by-step explanation: i agree its 3
find the solution set of x+3>19-3x, where x is a real number
Answer:
x>4
Step-by-step explanation:
x+3>19-3x
x+3x>19-3
4x>16
x>4
Answer:
x > 4
Step-by-step explanation:
x+3>19-3xx+3x +3 > 194x > 19 -34x > 16x > 16/4x > 4Solution set:
x= (4, + ∞), x∈RSolution set as set builder notation:
A= {x | x>4, x∈R}a firefighter dives at 7.5 m/sec from window to net. If window is 34 m above net, what speed does firefighter hit net. ACCELRATION IS 9.8 m/sec^2
Answer:
Step-by-step explanation:
This is more physics than math, but since "The book of nature is written in the language of mathematics"...
Anyway, the one-dimesional motion equation you want to use here resembles the quadratic we use to model parabolic motion. It is
[tex]v^2=v_0^2+2a[/tex]Δx
where v is the final velocity of the firefighter, v₀ is the initial velocity of the firefighter, a is -9.8 m/s/s (negative because the motion is in the downward direction), and Δx is -34 m. This is also negative because where the firefighter lands is below the point at which he started. This is important, because if you leave the 34 as positive, you end up with a negative radicand...and that's not gonna work. Filling in the formula:
[tex]v^2=(7.5)^2+2(-9.8)(-34)[/tex]
Paying close attention to significant digits here is important (at least it is when I teach physics in school!). Since there are 2 significant digits in 7.5, we need 2 in the product. 7.5 squared is 56.25 which will round to 56. Then on the right side of the plus sign, we need 2 significant digits as well since the number 2 is part of the equation. We don't count it as significant if it is part of the equation. 2(-9.8)(-34) = 666.4 but that will round to 670. NOW, since the rules for significant digits are different in multiplication and addition, you have to round each first, then take the square root of the sum, rounding at the end. In this case we will round to the place that holds the least significance between the 2 numbers. In our case that is the tens place, since the tens place is less significant than is the 1's place. The number 7 is in the tens place. (Following that rule is super tricky, and also quite maddening!)
What we have here is
[tex]v^2=56+670[/tex] and
[tex]v=\sqrt{56+670}[/tex]
That leaves us with
v = 26.94438j
But don't forget we round that to the tens place which comes out in the end, finally, to
v = 30 m/s
PLEASE ANSWER ASPAA The x-intercept of the equation 2y – x = -6 is: 3. -3. 6. None of these choices are correct.
Answer:
x = 6
Step-by-step explanation:
The x-intercept of the equation is where the graph crosses the x-axis when y = 0. So, we simply plug in 0 for y:
2(0) - x = -6
0 - x = -6
-x = -6
x = 6
Alternatively, you can graph the equation into a graphing calc and analyze where the graph crosses the x-axis.
Choose the best estimate for the multiplication problem below.
82.17
7.32
X
A. 560
B. 860
C. 420
Hey there!
We see that the first factor is 82.17, which is about 80. Then, we have 7.32, which is about 7.
80 times 7 is just doing 8 times 7 but putting a zero on the end!
So, 80 times 7 is 560, so our best estimate is A.560
Have a wonderful day!
If Geo had 3/8 of a pizza and his sister had 7/9 of another pizza, how much pizza do they have in all?
Answer:
[see below]
Step-by-step explanation:
Geo has 3/8 of a pizza. His sister has 7/9 of another pizza.
Add the values:
[tex]\frac{3}{8}+\frac{7}{9}\\\\ \text{The LCM of the denominators is 72.}\\\\\frac{3*9}{8*9}=\frac{27}{72}\\\\\frac{7*8}{8*9}=\frac{56}{72}\\\\\frac{27+56}{72}=\frac{83}{72}\\\\\frac{83}{72}=1\frac{11}{72}\\\\\boxed{\frac{3}{8}+\frac{7}{9} = 1\frac{11}{72}}[/tex]
A university offers a Calculus class, a Sociology class, and a Spanish class. Youare given data below about a group of students who have all taken at least one ofthe three classes.(iv)(i) Group 1 contains 187 students. Of these, 61 students have taken Calculus,78 have taken Sociology, and 72 have taken Spanish. 15 have taken bothCalculus and Sociology, 20 have taken both Calculus and Spanish, and 13have taken both Sociology and Spanish. How many students in Calculushave taken all three classes?\
Let A, B, and C denote the sets of students that have taken calculus, sociology, and Spanish, respectively.
We're given that [tex]A\cup B\cup C[/tex] consists of 187 students.
We want to find the size of [tex]A\cap B\cap C[/tex], given that
• A has 61 students;
• B has 78;
• C has 72;
• [tex]A\cap B[/tex] has 15;
• [tex]A\cap C[/tex] has 20; and
• [tex]B\cap C[/tex] has 13.
Using the inclusion/exclusion principle, we have
[tex]|A\cup B\cup C|=|A|+|B|+|C|-(|A\cap B|+|A\cap C|+|B\cap C|)+|A\cap B\cap C|[/tex]
where |X| denotes the size of the set X. Plug in all the known sizes:
[tex]187=61+78+72-(15+20+13)+|A\cap B\cap C|[/tex]
[tex]\implies|A\cap B\cap C|=24[/tex]
so 24 students have taken all three classes.
Sam needs a web designer. Designer A is offering her services for an initial $500 in addition to $100 per hour. Designer B is offering her service for an initial $600 in addition to $50 per hour. Till how many hours company B will be cheaper option for him?
Answer:
2 hours
Step-by-step explanation:
Let's denote the amount of time we need to find out, t.
=> 600 + 50t < 500 + 100t
or 600 - 500 < 100t - 50t
or 100 < 50t
or 100/50 < t
or t > 2
=> After 2 hours, company B will be cheaper option than company A
Nicole has x marbles. Together we have 44 marbles. How many marbles will I have if I lose 1/4 of my marbles ?
Answer:
I have:
33 - 3N/44 marbles
N = marbles of Nicole
Step-by-step explanation:
Nicole + me = 44 marbles
m = 44 - N
m = me
N = Nicole
if i lose 1/4 of my marbles
4/4 - 1/4 = 3/4
i have left:
3/4 of my marbles
then:
m = 3(44-N)/4
m = 3*44/4 + 3*-N/44
m = 33 - 3N/44
I have finally:
33 - 3N/44
PLEASE help me! The question is attached.
Answer:
The third option is correct
Step-by-step explanation:
We can rule out the first option because systems of equations CAN have decimal answers (this certain question cannot because of the domain) Same for the second option.
The last option says that all the numbers of forks knives and spoons must be equal but the question never specified that, in fact it looks like that is impossible since the variables have different coefficients.
The only logical answer is number 3
Solve . -9 2/7(-10 3/7).
Answer:
315943/12683
Step-by-step explanation:
Well -9 2/7 * -10 3/7 is 315943/12683
Answer:
540/49
Step-by-step explanation:
Work on the brackets first: (-10✖️3/7)=-30/7
-30/7✖️2/27=-60/49
-60/49✖️-9=540/49
LeBron buys 500 shares of Tiger Corporation for $10 a share. The corporation’s president is caught committing fraud and the stock drops to $3 a share. LeBron sells all his shares. How much can he take off his income as a capital loss this year?
Answer:
$3,500
Step-by-step explanation:
First, Lets analyze the problem.
LeBron buys 500 shares for $10 a share. So he buys 500 shares for $5,000.
Now the price drops to $3, he had 500 stocks, the stocks are now only worth $1500.
5000-1500=3,500
He has lost $3,500 in the Tiger Corporation shares.
This is a ratio question, is this correct?
Answer:
C
Step-by-step explanation:
Before expressing as a ratio the quantities must have the same denomination
$2 = 200 cents, thus
40 cents : $2
= 40 cents : 200 cents ( divide both parts by 40 )
= 1 : 5 → C
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=11x−3 and CE=12−4x. Find x
Answer:
x = 1
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, thus
AE = CE , substitute values
11x - 3 = 12 - 4x ( add 4x to both sides )
15x - 3 = 12 ( add 3 to both sides )
15x = 15 ( divide both sides by 15 )
x = 1
Can someone help me ASAP???!!
Answer:
25x ²−49y ²
Step-by-step explanation:
We need to find product of (5x+7)(5x−7y)
By using identity (a+b)(a−b)=a −b ²
We have a=5x,b=7y
Thus (5x+7y)(5x−7y)=(5x) ²−(7y)
let me know if it was helpful
25x² - 49y²
Step-by-step explanation:
To Find:
The product of (5x - 7y)(5 x + 7)
How to solve:
Just need to use the formula of a² - b² = (a+b)(a-b)
let's assume a = 5x and b = 7x
Solution:
(5x - 7y)(5 x + 7) = (5x)² - (7y)²
= 25x² - 49y²
Hence required answer is 25x² - 49y².
The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average of 72 litres of shower water (over the entire month). Water costs 0.20$ per litre. How much money did Trevor's family spend, in total, on shower water in the past month?
Answer:
The amount spent on shower water by Trevor's family in the past month is $86.4
Step-by-step explanation:
The given information are;
The number of people in Trevor's family house are 6
The volume of water each person showered with during the month = 72 litres
The water costs = $0.20 per litre
The total volume of water used for shower by the 6 people = 72 × 6 = 432 litres
The amount spent on shower water by Trevor's family in the past month = The total volume of water used for shower × The cost per litre of water
The amount spent on shower water by Trevor's family in the past month = 432 × 0.2 = $86.4.
Answer:
$86.4
Step-by-step explanation:
A card is drawn from the deck. What is the probability it is either black face card or a
spade?
Answer:
about 37% chance or, rounding to the nearest tenth, 36.5% chance
Step-by-step explanation:
since there are only 6 black face cards out of 52 cards, so the fraction is 6/52
there are also 13 spade cards out of 52 cards, so the fraction is 13/52
to find the percent you have to add the two fractions becuase all you want to do is draw a black face card or a spade card. when you add them you get 19/52
then dividing the fraction gives you .3653846154 on my calculator :)
Ava is buying paint from Amazon. Ava
needs 3/4 cup of blue paint for every 1
cup of white paint. Ava has 28 ounces
of white paint. How much blue paint
does he need?
Answer:
2.625 cups or 21 ounces
Step-by-step explanation:
Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.
She has 28 ounces of white paint. But, you have to convert ounces to cups.
1 cup = 8 ounces
28 ounces ÷ 8 ounces/cup = 3.5 cups
Now set up a ratio.
[tex]\frac{0.75}{1} = \frac{x}{3.5}[/tex]
X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)
Cross multiply and divide.
[tex]\frac{0.75}{1} = \frac{x}{3.5}[/tex]
x = 0.75 × 3.5
x = 2.625 cups
To convert to ounces, multiply by 8.
2.625 cups × 8 ounces = 21 ounces
Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.
Hope that helps.
The mean and variance are known as the _____
of a distribution.
Answer:
The mean and variance are known as the parameters of a distribution.
Step-by-step explanation:
The mean and the variance are parameters of a distribution. Parameters are constantly estimated in Statistics using samples of values of a population because they are often unknown.
They characterize a quantitative aspect of a probability distribution, and completely determined the distribution. For example, in the normal distribution, the mean, [tex] \\ \mu[/tex], and the variance, [tex] \\ \sigma^{2}[/tex], determined this distribution.
Most of the time, the standard deviation, [tex] \\ \sigma[/tex], is more used than the variance because is in the same units that the mean.
In this way, we can say that these parameters "tell us" where the central point of the distribution is (this is the case for the mean), and also, how spread the values of a probability distribution are (the case for variance or the standard deviation).
Choose two values, a and b, each between 8 and 15. Show how to use the identity a^3+b^3=(a+b)(a^2-ab+b^2) to calculate the sum of the cubes of your numbers without using a calculator
I really need help with this
Answer:
Step-by-step explanation:
a = 8
b = 10
a^3 =8^3 = 512
b^3= 10^3 =1000
a^3 + b^3 = 1512
a^2 = 64
-ab = - 80
b^2 = 100
a + b=18
(a + b) (64 - 80+ 100)
18 * (84)
1512'
Hi ... i appreciate you to answer this questuion...
[tex] \frac{ {x}^{2} }{ {x}^{4} + 1 } [/tex]
Answer:
[tex]\large \boxed{\sf \ \ \dfrac{x^2}{x^4+1}=\dfrac{1}{7} \ \ }[/tex]
Step-by-step explanation:
Hello,
We know that (let's assume that x is different from 0 as we cannot divide by 0)
[tex]x+\dfrac{1}{x}=3[/tex]
and we want to estimate
[tex]\dfrac{x^2}{x^4+1}[/tex]
Let's take the square.
[tex]9=3^2=(x+\dfrac{1}{x})^2=x^2+2\cdot x \cdot \dfrac{1}{x}+\dfrac{1}{x^2}=x^2+2+\dfrac{1}{x^2}=\dfrac{x^4+1}{x^2}+2[/tex]
So, we can write
[tex]\dfrac{x^4+1}{x^2}=9-2=7 \\ \\\\\text{*** let's take the inverse ***} \\ \\\dfrac{x^2}{x^4+1}=\dfrac{1}{7}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
HELP ME PLEASEEEE! Thank you
Answer:
A. Yes
B. Yes
C. No
Step-by-step explanation:
We can substitute each value in to the equation and see if the sides match up. Let's start with a.
[tex]4\cdot(2)-3 = -2\cdot(2)+9\\8-3 = -4+9\\5 = 5[/tex]
So, n = 2 works for equation a. Let's try B.
[tex]9\cdot(\frac{10}{3}) - 19 = 3\cdot(\frac{10}{3}) + 1\\\\\\\frac{90}{3} -19 = \frac{30}{3} + 1 \\ 30 - 19 = 10 + 1\\11 = 11[/tex]
So, m = [tex]\frac{10}{3}[/tex] works for B. Now let's try C.
[tex]3(30+8) = 2\cdot(30)-6\\3(38) = 60-6\\114 \neq 54[/tex]
So y = 30 doesn't work for C.
Hope this helped!
A motorist travels for 3 hours at a certain speed and then increase his speed by 10 km for the next 4 hours If he travels 335 km altogether, Find his speed for the First 3 hours
Answer:
See the answer below.
Step-by-step explanation:
We know that: [tex]d=S\times t[/tex]
So, using the given data, we can write an equation for the total distance travelled as:
[tex]3\times S+4\times (S+10)=335\\\\\Rightarrow S\approx 42.1\:Km/h[/tex]
Best Regards!
A pair of linear equations is shown:
y=-3x + 5
y = x + 2
Which of the following statements best explains the steps to solve the pair of equations graphically?
O on a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = -3, and the second line has y-intercept = 2 and slope =
1.
O on a graph, find the point of intection of two lines; the first line has y-intercept = -3 and slope = 5, and the second line has y-intercept = 1 and slope =
2.
O On a graph, find the point of intersection of two lines; the first line has y-intercept = -5 and slope = 3, and the second line has y-intercept = -2 and slope =
-1.
O On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = -5, and the second line has y-intercept = -1 and slope =
-2.
Answer:
Hey there!
On on a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = -3, and the second line has y-intercept = 2 and slope = 1.
Hope this helps :)
The formula for the distance travelled over time t and at an average speed v is v⋅t. Amit ran for 40 minutes at a speed of about 5 kilometres per hour. What calculation will give us the estimated distance Amit ran in kilometres?
Answer:
3 1/3 km or 3.33 km (to the hundredth)
Step-by-step explanation:
Using the given formula,
estimated distance = v.t = velocity * time,
velocity = 5 km/h
time = 40 minutes = [tex]\frac{40}{60}[/tex] hours = [tex]\frac{2}{3}[/tex] hours
Therefore
distance = 5 km/h * [tex] \frac{2}{3} [/tex] hours = 10/3 km
= 3.33 km approximately
Answer:
[tex]\boxed{Distance = 3.33\ km}[/tex]
Step-by-step explanation:
Given:
Time = t = 40 min = 40/60 = 0.67 hours
Speed = v = 5 km/hr
Required:
Distance = S = ?
Formula:
Distance = Speed × Time
Solution:
Distance = 5 × 0.67
Distance = 3.33 km