Answer:
So the number of flowers per vase
= 8 flowers per vase
Remainder= one flower
Step-by-step explanation:
Darren picked 25 flowers that he plans to divide evenly into 3 vases.
Number of Flowers touse per vase
= 25/3
Number of flowers to use per case
= 8.33
Number of flowers to use per case
= 8 1/3
We can see that it's 8 flowers per vase the a remainder of one flower Left.
So the number of flowers per vase
= 8 flowers per vase
Remainder= one flower
Answer: 8
Remainder: 1
If you get this, you are a critical thinker.
I enter the bedroom.
There are 34 people. You kill 30. How many people are in the bedroom?
Good Luck!
If you get it correct your answer will be deleted and I’ll message you to continue the game. Don’t bother playing if you’re not going to continue, party poopers!
Answer:
The correct answer is 34 people
Step-by-step explanation:
Killing 3 people does not change the number of people in the bedroom, it only means that there are 30 dead people and 4 living people, but overall, here are 34 people in the room.
There are 35 people in the room.
Killing 30 people does not exclude them from the room.
Similarly I entered the room when there were 34 people adding 1 more to 34 gives 35 people.
35= 34+1
There are 35 people in the room.
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Round 467 to the nearest 10
Answer:
470.
Step-by-step explanation:
The units digit 7.
As this is greater than 4 we add 1 to the tens digit. ( 6 + 1 = 7), and the units digit becomes 0.
Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function. 5e^(-x)^2 cos(4x)
Answer:
The first three nonzero terms in the Maclaurin series is
[tex]\mathbf{ 5e^{-x^2} cos (4x) }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }[/tex]
Step-by-step explanation:
GIven that:
[tex]f(x) = 5e^{-x^2} cos (4x)[/tex]
The Maclaurin series of cos x can be expressed as :
[tex]\mathtt{cos \ x = \sum \limits ^{\infty}_{n =0} (-1)^n \dfrac{x^{2n}}{2!} = 1 - \dfrac{x^2}{2!}+\dfrac{x^4}{4!}-\dfrac{x^6}{6!}+... \ \ \ (1)}[/tex]
[tex]\mathtt{e^{-2^x} = \sum \limits^{\infty}_{n=0} \ \dfrac{(-x^2)^n}{n!} = \sum \limits ^{\infty}_{n=0} (-1)^n \ \dfrac{x^{2n} }{x!} = 1 -x^2+ \dfrac{x^4}{2!} -\dfrac{x^6}{3!}+... \ \ \ (2)}[/tex]
From equation(1), substituting x with (4x), Then:
[tex]\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}- \dfrac{(4x)^6}{6!}+...}[/tex]
The first three terms of cos (4x) is:
[tex]\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}-...}[/tex]
[tex]\mathtt{cos (4x) = 1 - \dfrac{16x^2}{2}+ \dfrac{256x^4}{24}-...}[/tex]
[tex]\mathtt{cos (4x) = 1 - 8x^2+ \dfrac{32x^4}{3}-... \ \ \ (3)}[/tex]
Multiplying equation (2) with (3); we have :
[tex]\mathtt{ e^{-x^2} cos (4x) = ( 1- x^2 + \dfrac{x^4}{2!} ) \times ( 1 - 8x^2 + \dfrac{32 \ x^4}{3} ) }[/tex]
[tex]\mathtt{ e^{-x^2} cos (4x) = ( 1+ (-8-1)x^2 + (\dfrac{32}{3} + \dfrac{1}{2}+8)x^4 + ...) }[/tex]
[tex]\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + (\dfrac{64+3+48}{6})x^4+ ...) }[/tex]
[tex]\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }[/tex]
Finally , multiplying 5 with [tex]\mathtt{ e^{-x^2} cos (4x) }[/tex] ; we have:
The first three nonzero terms in the Maclaurin series is
[tex]\mathbf{ 5e^{-x^2} cos (4x) }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }[/tex]
A tire manufacturing company has fixed cost of $20,000 and production cost of $60 per tire. If the tires are sold at $100 each, find the following: Profit Loss or Gain if 300 tires are produced
Answer:
A loss of 8,000
Step-by-step explanation:
If each tire is sold at $100 and 300 tires are sold then the amount gained is 30,000.
Cost of production for the tires is 18,000, so now we must subtract 18,000 from 30,000 to get 12,000.
Finally, we take away the fixed cost (20,000) from 12,000 to get -8,000.
The manufacturing company will be in a loss of $8000 after selling 300 tires produced.
What is production cost?Production costs are the expenses incurred by a firm when it manufactures a product or provides a service that generates income.
What is selling cost?The selling cost is defined as the cost at which a particular item is sold.
No. of Tires produced = 300
Production cost of each tire = $60
Total Production cost = 60 * 300 = $18000
No. of Tires sold = 300
Selling cost of each tire = $100
Total selling cost = 300 * 100 = $30000
Total profit in selling 300 tires = $12000.
Fixed cost of the company = $20000
Loss = $20000 - $12000 = $8000
Hence Loss suffered by the company is $8000.
Learn more about profit and loss:
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Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.464. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide?
A.) The coefficient of determination is 0.215. 78.5% of the variation is explained by the linear correlation, and 21.5% is explained by other factors.
B.) The coefficient of determination is 0.785. 21.5% of the variation is explained by the linear correlation, and 78.5% is explained by other factors.
C.) The coefficient of determination is 0.215. 21.5% of the variation is explained by the linear correlation, and 78.5% is explained by other factors.
D.) The coefficient of determination is 0.785. 78.5% of the variation is explained by the linear correlation, and 21.5% is explained by other factors.
Answer: C.) The coefficient of determination is 0.215. 21.5% of the variation is explained by the linear correlation, and 78.5% is explained by other factors.
Step-by-step explanation:
Given that :
Number of observations = 40
Linear Correlation Coefficient (R) = 0.464
The Coefficient of determination ( R^2) =?
The Coefficient of determination (R^2) is the squared value of the linear correlation Coefficient value (R) . The value value ranges from 0 to 1 and depicts the proportion of the variation in the dependent variable that can be accounted for by the independent variable.
For the scenario given above,
The Coefficient of determination (R^2) = 0.464^2 = 0.215296 = (0.215296 * 100%) = 21.5%
This means that 21.5% of the variation can be explained by the relationship between both variables while (100% - 21.5% = 78.5%) can be explained by other factors.
Alastair drives 18.2 miles in 14 minutes.
He passes a sign which gives the speed limit as 50 mph.
By how much, in mph, did Alastair's average speed exceed the speed limit?
Answer:
28 mph
Step-by-step explanation:
Distance
18.2 milesTime
14 min = 14/60 hrAverage speed
d/t = 18.2 ÷ 14/60 = 182/10 × 60/14 = 78 mphThe difference with allowed speed
78 - 50 = 28 mphAnswer:
28mph
Step-by-step explanation:
Was it evaluated correctly?
explain your reasoning.
Answer:
It's not evaluated correctly
Step-by-step explanation:
in the problem 6 × 5 + 30 ÷ 30 we first need to multiply 6 and 5 then divide the 30 by 10 and finally add them up
6×5 = 30
30 ÷ 10 = 3
30 + 3 = 33
The value 346.7812 rounded to the nearest hundredth is
346.7800
QQI 300
346.781
346.78
Answer:
346.78
Step-by-step explanation:
Rounding a number to hundredth means approximating or making the number after the second position of the decimal to either a 10 or zero.
Thanks for the number after the second is greater or equal to 5, it is rounded up to ten where the 1 is added to the second position if not it turns 0.
So 346.7812 to hundredth
= 346.78
A car travels 50 mph for 10 minutes. How many miles per minute is the car travoling? Round to the
nearest tenth
To the nearest tenth of a mile, how far doos the car travel in 1 minuto?
0 0.12 miles per minute
o 0.83 miles per minute
1.2 miles per minute
8.3 miles per minute
Answer:
8.3
Step-by-step explanation:
10 minutes is 1/6th of an hour so divide 50 by 6 to find the answer.
50/6= 8.3333333 so rounded to the nearest tenth is 8.3
what is LCM of 2 4 8
Answer:
the LCM would be 8 based on the following set of multiples: Multiples of 2: 2, 4, 6, 8, 10, 12, 14, ... Multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...
Step-by-step explanation:
PLEASE HELP!!
express as a trinomial
(x-6) (2x-7)
Answer:
2x² - 19x + 42
Step-by-step explanation:
We want to expand (x - 6)(2x - 7) into a trinomial.
We use the FOIL (first, outer, inner, last) method.
First, multiply the first terms of each parenthetical expression; in the first one, that's x, and in the second, that's 2x:
x * 2x = 2x²
Next, multiply the outer terms; in the first one, that's x, and in the second, that's -7:
x * (-7) = -7x
After that, multiply the inner terms; in the first one, that's -6 and in the second, that's 2x:
(-6) * 2x = -12x
Finally, multiply the last terms; in the first one, that's -6 and in the second, that's -7:
(-6) * (-7) = 42
Now, add all these results together:
2x² + (-7x) + (-12x) + 42
2x² - 19x + 42
The answer is thus 2x² - 19x + 42.
~ an aesthetics lover
Answer:
2x²-19x+42
Step-by-step explanation:
x·2x-x·7-6·2x+6·7
2xx-7x-12x+42
2x²-7x-12x
2x²-7x-12+42
The director of student health decides to test every student on campus for tuberculosis. If there are 3000 students out of which only 50 have tuberculosis and the probability of a false positive on the test is 0.008 and a false negative is 0.15, what is the probability that a person who tested positive actually has TB?
Answer: the probability that a person who tested positive actually has TB is 0.64
Step-by-step explanation:
lets say
T : has tuberculosis
+ : test results +ve
- : test result is -ve
so given that
P(+ITc) = 0.008
P(-ITc) = 0.15
P(T) = 50/3000 = 1/60
P(Tc) = 1 - P(T) = 1 - 1/60 = 59/60
Now required probability
= P(TI+)
P(T∩+) / P(+)
= P(T) × P(+IT) / [[P(T) × P(+IT)] + [(P(Tc) × P(+ITc)]
= P(T) × {1-P(-IT)] / [[P(T) × [1-P(-IT)] + [(P(Tc) × P(+ITc)]
WE SUBSTITUTE
= { 1/60 × (1-0.15) } / [1/60 × (1 - 0.15)] + [(59/60) × 0.008]
= (0.0167 × 0.85) / [(0.0167 × 0.85) + (0.9833 × 0.008)]
= 0.01417 / 0.02206
= 0.6423 ≈ 0.64
∴ the probability that a person who tested positive actually has TB is 0.64
Find the standard equation of the parabola that satisfies the given conditions. Also, find the length of the latus rectum of each parabola.
focus: (-3,0), directrix: x = 6
Choose the correct standard equation below.
OA.
y2 = - 18(x-3)
OB. x2 = 12(y + 3)
Ос.
x2 =
= -18
OD. y2 = 12(x+3)
Find the length of the latus rectum.
(Simplify your answer.)
Answer:
The standard parabola
y² = -18 x +27
Length of Latus rectum = 4 a = 18
Step-by-step explanation:
Explanation:-
Given focus : (-3 ,0) ,directrix : x=6
Let P(x₁ , y₁) be the point on parabola
PM perpendicular to the the directrix L
SP² = PM²
(x₁ +3)²+(y₁-0)² = [tex](\frac{x_{1}-6 }{\sqrt{1} } )^{2}[/tex]
x₁²+6 x₁ +9 + y₁² = x₁²-12 x₁ +36
y₁² = -18 x₁ +36 -9
y₁² = -18 x₁ +27
The standard parabola
y² = -18 x +27
Length of Latus rectum = 4 a = 4 (18/4) = 18
i need help with this
Answer:
1a. either AC ≅ DF or AB ≅ DE
1b. <A ≅ <D
2a. B
2b. D
Step-by-step explanation:
The first term in the sequence is 1, and each other term is 5 more than three times the previous term.
[tex]a_1=1, a_n=a_{n-1}+5[/tex] ([tex]n>1[/tex]).
Hope this helps.
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answer:
A (the marked answer is correct)
Step-by-step explanation:
The result of a single refection will look like the reverse of the letter Z, so the only possibilities are choices A and C.
Since the horizontal lines are still horizontal, the reflection must be across a horizontal or vertical line. If the reflection is across a horizontal line, the image will be vertically aligned with the preimage. If the reflection is across a vertical line, the image will be horizontally aligned with the preimage.
Choice A is horizontally aligned with the preimage. Choice C is not aligned either way. (It is a "glide reflection.")
Image A is the result of reflection across the y-axis.
Sarah orders 34 shirts that cost $7 each. She can sell each shirt for $15. She stole 27 shirt to customers she had to return 7 shirts and pay a $2 charge for each returned shirt. FIND SARAH’S PROFIT.
Answer:
$153
Step-by-step explanation:
She orders 34 shirts for $7 each.
34 × 7 = $238 - total cost for the shirts
She sells 27 shirts for $15 each.
27 × 15 = $405 - profit from selling shirts
Subtract the profit from the amount paid.
$405 - $238 = $167
Sarah has a profit of $167. But, she had to return 7 shirts and pay $2 each.
$7 × 2 = $14 - charge for returning shirts
Subtract this from the profit made to get the final profit.
$167 - $14 = $153
Sarah's profit is $153 from buying and selling the shirts.
Hope that helps.
Evacuation and emergency procedures should be displayed in the classroom lab/office. * 4 points True False
Answer:
The answer is true. I hope this helps
Answer:
yes. If there will be Evacuation and emergency procedures then the students can learn about that and can use that when there is an emergency case.
Where do the lines y=2x+1 and y=-5x-6 intersect?
Answer:
(-1, -1)
Step-by-step explanation:
To find where two lines in slope-intercept form intersect, set them equal to each other.
2x + 1 = -5x - 6
7x = -7
x = -1
Knowing they intersect at x = -1, substitute -1 into either of the two equations to find the y-value of their intersection.
y = 2(-1) + 1
y = -2 + 1
y = -1
So the intersection point of the two lines is (-1, -1).
someone please help me with this question
Answer:
3rd and 4th option
Answer: Option 3. [tex]\sqrt[c]{a^b}[/tex] Option 4. [tex](\sqrt[c]{a} )^b[/tex]
Step-by-step explanation:
concept to know: when the exponent is a fraction, the numerator will be the real exponent with the base (i.e 7^5), while the denominator will be the root
----------------------------------
[tex]a^{\frac{b}{c}[/tex]
b is the numerator which means it will result in [tex]a^b[/tex]
c is the denominator which means it will result in [tex]\sqrt[c]{a}[/tex]
The combination of this two will be [tex]\sqrt[c]{a^b}[/tex]
This will also be presented as [tex](\sqrt[c]{a} )^b[/tex]
Hope this helps!! :)
Please let me know if you have any question
what is standered form of 6,600,000,000,000,000,000,000
Answer:
6.6×10²¹
Step-by-step explanation:
6,600,000,000,000,000,000,000 → there are 21 place values after the first non-zero number ''6''
to convert to standard form, we move the decimal point after the first non-zero number.
6,600,000,000,000,000,000,000.0 ← decimal in the end
the decimal will be moved, all the digits after the decimal are counted and they will resemble the index.
6.6×10²¹
Solve: X/4=6 Can you please assist?
Answer:
x = 24
Step-by-step explanation:
In order to solve for x, you need to isolate it on one side of the equal sign. So in this case you need to multiply both sides by 4, in order to cancel the dividing factor 4 that appears in the denominator :
[tex]\frac{x}{4} =6\\4\,*\,\frac{x}{4} =6\,*\,4\\x = 24[/tex]
Answer:
X = 24
Step-by-step explanation:
[tex]\frac{X}{4}=6\\\\\mathrm{Multiply\:both\:sides\:by\:}4\\\frac{4X}{4}=6\times\:4\\\\\mathrm{Simplify}\\X=24[/tex]
(-w^3+8w^2-3w)-(4w^2+5w-7)
Answer:
[tex] \boxed{ \bold{ { \boxed{ \sf{ - {w}^{3} + 4 {w}^{2} - 8w + 7}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{( - {w}^{3} + 8 {w}^{2} - 3w) - (4 {w}^{2} + 5w - 7)}[/tex]
Remove the unnecessary Parentheses
⇒[tex] \sf{ - {w}^{3} + 8 {w}^{2} - 3w - (4 {w}^{2} + 5w - 7)}[/tex]
When there is a ( - ) in front of a parentheses, change the signs of each term in the expression
⇒[tex] \sf{ - {w}^{3} + 8 {w}^{2} - 3w - 4 {w}^{2} - 5w + 7}[/tex]
Collect like terms
⇒[tex] \sf{ - {w}^{3} + 8 {w}^{2} - 4 {w}^{2} - 3w - 5w + 7}[/tex]
⇒[tex] \sf{ - {w}^{3 } + 4 {w}^{2} - 8w + 7 }[/tex]
Hope I helped!
Best regards!!
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{-w^3 + 4w^2 + -8w + 7}[/tex]
Let's simplify step-by-step.
[tex](-w^3+8w^2-3w)-(4w^2+5w-7)[/tex]
Distribute the Negative Sign:
[tex]= -w^3 + 8w^2 - 3w + -1( 4w^2 + 5w - 7 ) \\= - w^3 + 8w^2 + 3w + -1(4w^2) + -1 (5w)+(-1 )(-7)\\= -w^3 + 8w^2 + -3w + -4w^2 + 5w + 7[/tex]
Combine Like Terms:
[tex]= -w^3 + 8w^2 + -3w + -4w^2 + -5w + 7 \\= (-w^3) + ( 8w^3 + -3w + -4w^2) + ( -3w + -5w) + 7 \\= -w^3 + 4w^2 + -8w + 7[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Evaluate r(x)=2x −1 over the domain {0,1,2,3}. What is the range of r(x)? Separate values with a comma.
Answer:
The range of r(x) is [tex]\{-1,1,3,5\}[/tex].
Step-by-step explanation:
The range of a function is the set of images associated with a given domains. As domain is a discrete set, the range can be determined by evaluating the function at each element in domain:
x = 0
[tex]r(0) = 2\cdot (0)-1[/tex]
[tex]r(0) = -1[/tex]
x = 1
[tex]r(1) = 2\cdot (1) - 1[/tex]
[tex]r(1) = 1[/tex]
x = 2
[tex]r(2) = 2\cdot (2) -1[/tex]
[tex]r(2) = 3[/tex]
x = 3
[tex]r(3) = 2\cdot (3) -1[/tex]
[tex]r(3) = 5[/tex]
The range of r(x) is [tex]\{-1,1,3,5\}[/tex].
a man dropped his keys into the sea, and watched them fall to a depth of -8 meters before landing on a rock. how far are the keys from the surface of the sea?
paper plus sells reams ofpaper of $5.25 each discount paper sells the same reams of paper for $3.99 each, how much would you save by purchasing 15 reams of paper at discount paper instead of at paper plus?
Answer: $18.90
Step-by-step explanation:
multiply both by 15
subtract from each other
Hi I am a teacher or 52 years old and I am wondering how I can become an online tutor?
Answer:
Go online and do research, I'm pretty sure you have websites around your area that is looking for tutors
Step-by-step explanation:
A group of students conducted several trials of an experiment to study Newton’s second law of motion. They concluded that tripling the mass required tripling the net force applied. What quantity were the students holding constant?
net force
acceleration <-- MY ANSWER
number of trials
mass
Answer:
Acceleration
Step-by-step explanation:
The Newton's second law of motion can be expressed as;
F = ma
Where F is the force acting on an object, m is the mass of the object and a is the acceleration of the object.
For an object of mass 2kg and acceleration of 5 m/[tex]s^{2}[/tex], we have;
[tex]F_{1}[/tex] = 2 × 5 = 10 N
If we triple the mass,
m = 2 × 3 = 6 kg
Therefore,
[tex]F_{2}[/tex] = 6 × 5 = 30 N
Thus, at constant acceleration, [tex]F_{2}[/tex] = 3 × [tex]F_{1}[/tex]
Choose the best answer from the four choices given. You may use scratch
paper.
(3x2y3 )3 =
3x5y6
O 9x6yº
O 27x5y6
O 27x6y
Answer:
27x^6y^9
Step-by-step explanation:
(3x^2y^3)^3 = 3^3 * (x^2)^3 * (y^3)^3 =
= 27x^6y^9
Sandra calculated the height of a cylinder that has a volume of 576 pi cubic centimeters and a radius of 8 centimeters. Her work is shown below. V = B h Step 1: 576 pi = pi 8 squared h Step 2: 576 pi = 64 pi h Step 3: StartFraction 576 pi Over 64 pi EndFraction = StartFraction 64 pi Over 64 pi EndFraction h Step 4: h = 9 pi cm What error did Sandra make when calculating the height of the cylinder? In step 1, she substituted into the volume formula incorrectly. In step 2, she calculated 8 squared incorrectly. It should be 16 rather than 64. In step 4, the pi should have canceled, making the correct answer 9 cm. Sandra calculated the height of the cylinder correctly.
Answer:
C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.
Step-by-step explanation:
Volume=576π cubic centimeters
Radius=8 cm
h=?
Her work:
Volume of a cyclinder=πr^2h
Step 1:
576π= π8^2h
Step 2:
576π = 64πh
Step 3:
576π / 64π = 64πh / 64π
Step 4:
h=9π cm
Correct workings:
Step 1:
576π= π8^2h
Step 2:
576π = 64πh
Step 3:
576π / 64π = 64πh / 64π
Step 4:
h= 9 centimeters
Her error is in step 4
C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.
Answer:
the error was made in step 4, should have also been cancelled making the correct answer as 9 cm.
Step-by-step explanation: