What is the product (7 times 10 to the power of -5) times (5 times 10 to the power of -8)
Answer:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
3.5×10^−12
Step-by-step explanation:
in simple terms 3.5×10^−12 or 3.5 times 10 to the power of -12
Identify the equations of ellipses whose major axis lengths are twice their minor axis lengths.
Answer:
If its set up like
1 2
3 4
5 6
the answer is 1,2,4,6
Step-by-step explanation:
i hope my math on desmos was right xD
The equations of ellipses[tex]2x^{2} +8y^{2} -12x+16y-174=0[/tex], [tex]4x^{2} +y^{2} +16x+4y+4=0[/tex],[tex]3x^{2}+12y^{2} +18x-24y-69=0[/tex] and [tex]x^{2} +9y^{2} -2x+18y-71=0[/tex] having the major axis lengths are twice their minor axis length.
Equations of ellipse
[tex]\frac{(x-h)^{2} }{a^{2} } +\frac{(y-k)^{2} }{b^{2} } =1[/tex] (for horizontal major axis ,a>b)
[tex]\frac{(x-h)^{2} }{b^{2} } +\frac{(y-k)^{2} }{b^{2} }=1[/tex] ( for vertical major axis, b>a))
Where, (h, k) is the center of ellipse.
What is major axis of an ellipse?The major axis of an ellipse is its longest diameter(a line that runs through the center and both foci, with ends at the two most widely separated points on perimeter).
Formula for calculating the length of major axislength of major axis = 2a (where a is the length of semi major axis)
What is minor axis of an ellipse?The minor axis of an ellipse is the line that contains the shorter of the two line segments about which the ellipse is symmetrical.
Formula for calculating the length of minor axislength of minor axis = 2b (where b is the length of semi minor axis)
According to the given question
we have, the equations of ellipses
A) [tex](4x^{2} +32x)+(25y^{2} -250y)+589=0[/tex]
[tex]4(x^{2} +8x)+25(y^{2} -10y)+589=0[/tex]
[tex]4(x^{2} +8x+b^{2} )-4b^{2} +25(y^{2} -10y+b^{2} )-25b^{2} +589=0[/tex]
[tex]4(x^{2} +8x+4^{2})-4(4^{2})+25(y^{2} -10y+b^{2} )-25(5^{2} ) +589=0[/tex]
[tex]4(x+4)^{2}+25((y-5)^{2} )-100=0[/tex]
[tex]4(x+4)^{2} +25(y-5)^{2} =100[/tex]
dividing both the sides by 100
[tex]4\frac{(x+4)^{2} }{100} +25\frac{(y-5)^{2} }{100} =1[/tex]
[tex]\frac{(x+4)^{2} }{25} +\frac{(y-5)^{2} }{4} =1[/tex]
[tex]\frac{(x+4)^{2} }{5^{2} } +\frac{((y-5)^{2} }{2^{2} }=1[/tex]
here, h=-4 and k=5
major axis =2a=2×5=10
minor axis=2b=2×2=4
⇒ the length of major axis is not twice the length of minor axis.
Similarly, we will do for the other equations
B).
[tex]2x^{2} +8y^{2} -12x+16y-174=0\\\frac{(x-3)^{2} }{10^{2} } +\frac{(y+1)^{2} }{5^{2} } =1[/tex]
here, h=3 and k=-1
major axis:2a=2×10=20
minor axis:2b=2×5=10
⇒ length of major axis is twice the length of minor axis.
C).
[tex]4x^{2} +y^{2} +16x+4y+4=0[/tex]
[tex]\frac{(x+2)^{2} }{2^{2} } +\frac{(y+2)^{2} }{4^{2} } =1[/tex]
here, h=-2 and k= -2
major axis: 2b=2×4=8
minor axis: 2a= 2×2=4
⇒ the length of the major axis is twice of the length of minor axis.
D).
[tex]x^{2} +4y^{2} +6x-8y-23=0[/tex]
[tex]\frac{(x+3)^{2} }{6^{2} } +\frac{(y-1)^{2} }{3^{2} } =1[/tex]
here, h=-3 and k=1
major axis: 2a=2×6=12
minor axis: 2b= 2×3=6
⇒ the length of major axis is twice of the length of minor axis.
E).
[tex]16x^{2} +y^{2} -64x+8y+16=0[/tex]
⇒[tex]\frac{(x-2)^{2} }{2^{2} } +\frac{(y+4)^{2} }{2^{2}} =1[/tex]
here, h=2 and k=-4
major axis: 2a= 4
minor axis :2b=4
⇒ the length of major axis is not the twice of minor axis.
F)
[tex]x^{2} +9y^{2} -2x+18y-71=0[/tex]
⇒[tex]\frac{(x-1)^{2} }{9^{2} } + \frac{(y+1)^{2} }{3^{2} } =1[/tex]
here, h=1, and k=-1
major axis: 2a= 18
minor axis: 2b = 9
⇒ the length of major axis is twice to the length of minor axis.
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I need it soon thanks
= 3 × 4
= 3 × 2²
x = 1
2.Cross multiplication= 3 × 15 = 5x
= 45 /5 = x
= 9 = x
3. 14, 35, 424. 7 , 35. 572, 527, 725, 7526. a ÷ 2 = a/27. a.2 = 2a8. a² = a . a9. a + a + a = 3a10. 0a = 0Answer:
Step-by-step explanation:
1. 4
2. 9
3. 7 ,14 , 21 , 28 ,35 , 42 , 49
4. 7 , 3
5. 527 , 752 , 572 , 725
6. 6 = d ( a / 2 )
7 = e ( 2a )
8 = a ( a * a )
9 = b ( 3a )
10 = c ( 0 )
The cardboard box below is used by a company to package new laptops of the company plans to increase the length of the Box by 2in what is the minimum amount of extra cardboard needed to construct a new box The dimensions of the box is 5 in high 16 in in width and 20 in in length
A. 84in^2
B. 116in^2
C.132in^2
D.160in^2
The minimum amount of extra cardboard needed to construct a new box is : 84in².
What is the minimum amount of extra cardboard needed?First step
Surface area=2(16) (5) in²+ 2(20in) (5in) + 2(16in) (20in)
Surface area=1000in²
Second step
Surface area if the length increase by 2 inches
Surface area=2(16) (5) + 2(20+2) (5in) + 2(16in) (20+2)
Surface area=1084in²
Third step
Surface area=1084in²-1000in²
Surface area=84in²
Therefore the minimum amount of extra cardboard needed to construct a new box is : 84in².
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A grocery chain runs a prize game by giving each customer a ticket that may win a prize when the box is scratched off. Printed on the ticket is a dollar value ($500, $100, $25) or the statement "This ticket is not a winner." Monetary prizes can be redeemed for groceries at the store. Below is the probability distribution of the amount won on a randomly selected ticket. Which of the following are the mean and standard deviation, respectively, of the winnings? * 2 points Captionless Image $156.25 $53.85 $15.00, $2900.00 $15.00, $26.93 $15.00, $53.85 $156.25, $26.93
Answer:
[tex]Mean = \$15[/tex]
[tex]Standard\ Deviation = \$53.85[/tex]
Step-by-step explanation:
Given
See attachment for probability distribution
Required
Determine the mean and the standard deviation
The mean of the distribution is:
[tex]Mean = E(x)[/tex]
and
[tex]E(x) = \sum x * P(x)[/tex]
So, we have:
[tex]Mean = \$500 * 0.01 + \$100 * 0.05 + \$25 * 0.20 + \$0 * 0.74[/tex]
[tex]Mean = \$5 + \$5 + \$5 + \$0[/tex]
[tex]Mean = \$15[/tex]
So:
[tex]E(x) = 15.00[/tex]
The standard deviation of the distribution is:
[tex]S = \sqrt{Var(x)}[/tex]
Where:
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
[tex]E(x^2) = \sum x^2 * P(x)[/tex]
So, we have:
[tex]E(x^2) = 500^2 * 0.01 + 100^2 * 0.05 + 25^2 * 0.20 +0^2 * 0.74[/tex]
[tex]E(x^2) = 2500 + 500 + 125 +0[/tex]
[tex]E(x^2) = 3125[/tex]
So:
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
Where
[tex]E(x^2) = 3125[/tex]
[tex]E(x) = 15.00[/tex]
[tex]Var(x) = 3125 - 15^2[/tex]
[tex]Var(x) = 3125 - 225[/tex]
[tex]Var(x) = 2900[/tex]
Recall that:
[tex]S =\sqrt{Var(x)[/tex]
[tex]S =\sqrt{2900[/tex]
[tex]S =53.85[/tex]
Help! Please and Thank you!
Answer:
1/26
Step-by-step explanation:
The probability is 1/26 because there are 26 letters on a keyboard!
Help need help cause I don’t understand stand
Answer:
A
Step-by-step explanation:
just cut off one side and add it to the other thats how you solve paralellograms
Answer: 6 x 7?
Step-by-step explanation: To find the area of a parallelogram it's base times height.
list the planets in order from least to greatest
Only give me an answer if you know the answer please
Answer:
Uranus, Neptune, Saturn, Jupiter
Step-by-step explanation:
l
A system of linear equations for the variables x and y is shown.
y=-x-4
3y=cx-18
For what value of c, if any, will this system have no solution? Justify your answer.
Answer: -3
Step-by-step explanation:
Given
Equations of the lines are
[tex]y=-x-4\\3y=cx-18[/tex]
For the system of linear equation [tex]a_1x+b_1y=c_1,a_2x+b_2y=c_2[/tex] has no solution if
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]
Rewrite the equations
[tex]x+y=-4,\ cx-3y=18[/tex]
Insert the values for the no solution condition
[tex]\Rightarrow \dfrac{1}{c}=\dfrac{1}{-3}\\\\\Rightarrow c=-3[/tex]
Therefore, for c=-3, the system of linear equation ha no solution.
General formula for
6 ; 8 ; 10 ; 12
Answer:
[tex]an=2n+4[/tex]
Step-by-step explanation:
30 pts ! The height of the Ferris wheel in feet can be represented by the function 50 cos (π/15(x-10))+52 with time in x seconds. When does the height of 80 feet occur on the interval 0
The time that the height of 80 feet occur on the interval 0 is 4.662 seconds.
Given:
50 cos (π/15(x-10))+52
Height=80 feet
Time= x second
Hence:
height (h)= 50 cos [pie(x - 10 )/15 ] + 52
80 = 50 cos [pie( x - 10 )/15 ]+ 52
Collect like terms
80 - 52 = 50 cos [ pie( x - 10 )/15 ]
28 = 50 cos [ pie( x - 10 )/15 ]
cos [pie( x - 10 )/15 ] = 28/50
cos [ pie( x - 10 )/15 ] =56
cos [pie( x - 10 )/15 ]= cos ( 56 )
cos [ pie( x - 10 )/15 )]= cos ( 0.3111 pie )
Hence:
pie( x - 10 )/15 = 0.3111
( x - 10 )/15 = 0.3111
x - 10 = 15 × 0.3111
x - 10 = 4.662
x = 10 + 4.662
x = 14.662 seconds
Therefore the correct option is C.
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Solve 10^(x + 2) = 34
Answer:
-.4685
Step-by-step explanation:
[tex]x^y=z\\y=log_zy\\10^{x+2}=34\\x+2=log_{10}34\\x+2=log34\\x+2=1.531478917\\x=-.468521083[/tex]
find the surface area. round to the nearest hundredth when necessary.
Answer:
The area of the shape is 122.30 cm^2
Step-by-step explanation:
To calculate the surface area, we identify the side shapes
We have this as;
a rectangle that measures 11 cm by 3 cm, a rectangle that measures 3 cm by 6 cm, a rectangle that measures 8 cm by 3 cm, 2 triangles ( base and top) that has a height of 4.3 cm and a base of 11 cm
The area of the rectangles is simply the product of the side lengths
The area of the triangles is the product of the base and the height divided by 2; but since we have 2 exact triangles, we can simply multiply the base and the height to serve as the area of both
Thus, we have the area of the shape as follows;
(11 * 3) + (3 * 6) + (8 * 3) + (4.3 * 11)
= 33 + 18 * 24 + 47.3
= 122.30 cm^2
please helppppppppppp
Answer:
f(10) = 3
Step-by-step explanation:
If f(x) = [tex]-\frac{3}{5} x + 9[/tex] , in order to find the result for f(10) we just need to substitute 10 instead of x and we will get...
[tex]f(x) = -\frac{3}{5} x + 9\\\\f(10) = -\frac{3}{5} (10) + 9\\f(10) = - 6 + 9\\f(10) = 3[/tex]
Find the values of x and y in the diagram.
Answer:
x =4 and y =1
Step-by-step explanation:
Triangle ADB is an equilateral triangle that means the side a 3 unit each
so,
y + 2 = 3
y = 1
Triangle DBC is an isosceles triangle that means two legs are equal
So,
y + 2 = x -1
we already know that y+2 = 3
So,
3 = x -1
4 = x
Which equation does NOT graph a line?
A)
y = 5
B)
y=-3x3
yox
IN
D)
y=-8x
The Answer is B.
Its a Cubic function and this does not graph a line.
The first option
y=5 (A straight line)
for Y=-8x
Using Y=Mx + c
M is the slope
So it has a slope of -8.
help please ASAPPPPP
Answer:
the height is 11 units the base is 12 units and the area is (i think) 84
Need some assistance yall look at picture :) Algebra 2 type vibe
Answer:
It is C.
III is saying that the two functions are inverse functions. If two functions, f(x) and g(x) are inverse, then f(g(x)) = x and g(f(x)) = x. Therefore, we see that if III is true, then I and II should also be true. Now, all we have to prove is that f(x) and g(x) are inverse functions. As we said before, if two functions are inverse, then f(g(x)) = x and g(f(x)) = x.
f(g(x)) = 3([tex]\sqrt[3]{\frac{x-2}{3} }[/tex])^3 + 2
f(g(x)) = 3[(x-2)/3]+2
f(g(x)) = x-2 + 2
f(g(x)) = x
Therefore, we have proved that f(g(x)) = x, and so f(x) and g(x) are inverse functions, and so all of I, II, and III are true. Thus, the answer is C.
fyi, we didn't have to do g(f(x)) because if f(g(x)) = x, then so will g(f(x)).
find the length of CD.
Alonzo worked for 13 hours each day for 6 days then he worked 7 hours how many hours it Alonzo work in all?
Answer:
85 hours
Step-by-step explanation:
Number of hours per day = 13 hours
Number of days = 6
Number of hours worked for 6 days = 6 days × 13 hours
= 78 hours
then he worked 7 hours
Total Number of hours worked = Number of hours worked for 6 days + 7 hours
= 78 hours + 7 hours
= 85 hours
Total Number of hours worked = 85 hours
OMG I NEED HELP PLSSSSSSSSSSS
WHATS 1 + 1?
ILL MAKE U BRAINLIEST IF U ANSWER SO PLS HELP ME
Answer:
2
Step-by-step explanation:
Answer:
1+1 = 2.
If you had one apple, and I gave you one more, you would have 2 apples.
A teacher wants to find out the average number of weekly reading hours of her students. She noted the number of reading hours of 5 of her students, as shown below:
8, 6, 5, 7, 4
Which measure of central tendency is most appropriate for this situation and what is its value?
Only the median; 6
Only the mean; 5
Either the mean or median; both are 6
Either the mean or median; both are 5
Answer:
The answer is C both the mean and median are 6
Step-by-step explanation:
-2(4w-11)+6(5-2w)
Find the value of the expression if w = -3
if f,g and h are midpoints of the sides of the triangle jkl, fg=40, kl=52 and gh=26, find each measure
Answer: The measure of JK is 60 and the correct option is d.
Explanation:
It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.
The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .
According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third side.
By midpoint theorem,
Therefore the measure of JK is 60 and the correct option is d.
PLEASE HELP ASAP NOO LINKS!!!
Answer:
C. 6 seconds.............
A. Graph B and Graph D
B. Graph A only
C. Graph C and Graph D
D. Graph D only
Answer:
A is correct answer
Step-by-step explanation:
like me
I need answer Immediately pls!!!!!!
Answer:
14 players.
Step-by-step explanation:
The bus is a fixed cost, so the unknown “p” comes after the player meals, as that price isn’t fixed and is per player.
993.5 + 74.25p = 2033
74.25p = 1039.5
p = 14
PLEASE HELP! No random links.
Answer:
B and F are non-statistical questions
Step-by-step explanation:
B is asking how many years until you are 16; this is not statistical because it just a fact. F is pretty much the same because it's just asking a subjective fact-like question.
Statistical questions ask for a collection of varying data. If there is only one data point, it is non-statistical.
Enter an estimate. Round each mixed number to the nearest whole in your estimate
Answer:
1. 4-2=2
2.2 10/21
Step-by-step explanation:
Susan is required to buy pet food for her local pet shelter. She buys food for both dogs and cats,
but the dog food costs twice what the cat food costs. She needs to feed 150 cats and 30 dogs.
Her budget is $3250. How much can Susan spend on dog food per dog? Show your setup equations.
Answer:
MOBiLe LeGenD BaNG bAnG
Step-by-step explanation:
1s
2s
3s
4s
5s
mobile legend bang bang
Susan can maximum spend $30.95 on dog food and the inequality to manage her bill is 150C + 30D ≤ 3250.
What is inequality?The idea of inequality, which is the state of not being equal, especially with regard to status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse. However, some distinctions are shared.
Given, Susan is required to buy pet food for her local pet shelter. She buys food for both dogs and cats, but the dog food costs twice what the cat food costs. She needs to feed 150 cats and 30 dogs. Her budget is $3250
Let the price of cat food be C and the price of dog food be D.
Since the price of both cants is exceed 3250. Thus,
inequality shows their relationship is
150C + 30D ≤ 3250
Also given, the price of dog food is twice the price of cat food
C = D/2
150D/2 + 30D ≤ 3250
105D ≤ 3250
D ≤ 3250/105
D ≤ 30.95
Therefore, The most Susan can spend on dog food is $30.95, and the inequality to handle her bill is 150C + 30D ≤ 3250.
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