Answer:
10,361 dolls were sold in 2001.
Step-by-step explanation:
Number of dolls sold in x years after 1993:
The number of dolls sold in x years after 1993 is given by:
[tex]f(x) = -0.002x^4 - 0.025x^3 - 0.364x^2 - 7.243x + 86.993[/tex]
Estimate how many dolls were sold in 2001.
2001 is 2001 - 1993 = 8 years after 1993, so this is f(8).
[tex]f(8) = -0.002*8^4 + 0.025*8^3 - 0.364*8^2 - 7.243*8 + 86.993 = 10.361[/tex]
10,361 dolls were sold in 2001.
An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075. Robbin's GMAT score was 800. What must her grade point average be in order to be unconditionally accepted into the program?
Robbin's grade point average must be at least ___ in order to be unconditionally accepted into the program.
Answer:
Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.
Step-by-step explanation:
An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075.
This means that:
[tex]x + 100y \geq 1075[/tex]
In which x is the GMAT score and y is the GPA.
Robbin's GMAT score was 800.
This means that [tex]x = 800[/tex]
What must her grade point average be in order to be unconditionally accepted into the program?
We have to solve the inequality for y. So
[tex]x + 100y \geq 1075[/tex]
[tex]800 + 100y \geq 1075[/tex]
[tex]100y \geq 275[/tex]
[tex]y \geq \frac{275}{100}[/tex]
[tex]y \geq 2.75[/tex]
Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.
need answers ASAP. (x + 3)^2 = 12 ?
Which list shows the steps in the correct order?
Review the steps in the derivation of the tangent sum
identity. The steps are not in order
O I + II → IV – III
1
sin(x + y)
cos(x + y)
O I - IV - || - |
III - | - || - IV
III | → IV + ||
II
sin (x) cos (y) cos(x) sin(y)
+
cos (x) cos(y) cos (x) cos())
cos (x) cos(y) sin (x) sin (9)
cos (x) cos (y) cos (x) cos()
-
=
tan (x) + tan (y)
1 -tan (x) tan (y)
Answer:
2 ic correct
Step-by-step explanation:
The correct order of tangent sum property is III ⇒ I ⇒ II ⇒ IV.
What are derivatives?A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most prevalent illustration is the velocity or rate of change of displacement with respect to time.
We know, The tangent sum identity is tan(x + y).
We also know that tan(x + y) = (tanx + tany)/(1 - tanxtany).
Now, tan = sin.cos.
Therefore,
(tanx + tany)/(1 - tanxtany).
= [(sinx/cosx) + (siny/cosy)/(cosxcosy/cosxcosy) - (sinxsiny/cosxcosy)].
= sin(x + y)/cos(x + y).
learn more about tangent sum properties here:
https://brainly.com/question/19424752
#SPJ2
determine using pascal's method. (2p-3q)^5=(p-q)^5
The sum of an arithmetic sequence can be found by the formula Sn = n(2a
+ (n - 1)d). Use the formula to find the sum of first 10 terms of the sequence
{-3.2, 7, 12, 17. 22...)
Step-by-step explanation:
Hey there!
The given series: -3,2,7,12,17,22.....
Common ratio (d) = t2-t1
= 2+3
= 5
No of terms (n) = 10
First term (a) = -3
Now;
[tex]sn = \frac{n}{2} (2a + (n - 1)d)[/tex]
Keeping all values we get;
[tex]s10 = \frac{10}{2} (2 \times - 3 + (10 - 1)5)[/tex]
Simplify it.
[tex]s10 = 5( - 6 + 45)[/tex]
or, S10 = 195.
Therefore, S10 = 195.
Hope it helps!
If AABC ~ ADEF, what is the length of DE?
WILL GIVE BRAINIEST TO THE RIGHY ANSWER NEED HELP ASAP check the picture
Answer:
21 units
Step-by-step explanation:
[tex] \triangle ABC\sim \triangle DEF... (given) [/tex]
[tex]\huge \therefore \frac{AB}{DE} =\frac{BC}{EF}.. (csst) [/tex]
[tex] \huge \therefore \frac{8.4}{x} =\frac{10}{25} [/tex]
[tex] \huge \therefore x=\frac{25\times 8.4}{10} [/tex]
[tex] \huge \therefore x=\frac{210}{10} [/tex]
[tex]\huge \therefore x=21 [/tex]
Hence, length of DE = 21 units
formula to find the lateral area of a right cone
Answer:
This is the formula to find a lateral area of a right cone
A=1/2bh
Or A=1/2lw
A drawer contains 8 red socks, 6
white socks, and 4 blue socks. Without
looking, you draw out a sock, return
it and draw out a second sock. What is
the probability that the first sock is
white and the second sock is blue?.
simplest form
Answer:
2/27
Step-by-step explanation:
First probability = 6/18 = 1/3
second probability = 4/18 = 2/9 (in this case the number of socks remains the same because we returned the first one)
Final probability = 1/3 * 2/9 = 2/27
what is the complement of 37 .5
Answer:
62.5
Step-by-step explanation:
37.5+62.5=90 a complementary angle
Which number is a multiple of 9? A) 47 B) 56 C) 64 D) 72
Answer
72is the multiple of 9
Calcular: log 4 2 = (escribir el resultado como decimal)
Answer:
1/2 or 0.5
Step-by-step explanation:
What is the length of side s of the square shown below?
45*
8
90*
Answer is 4v2
Answer:
4 squareroot 2
Step-by-step explanation:
The answer is 4 squareroot 2
Of the 49 plays attributed to a playwright, 18 are comedies, 19 are tragedies, and 12 are histories. If one play is selected at random, find the odds against selecting a histories or a comedy
Answer:
34:49
Step-by-step explanation:
total = 49 plays
comedy + tragedies is 20 + 14 = 3
So the odds of picking a tragedy or comedy is 34:49
NEED HELP ASAP
find the volume of the cone
Answer: 134.0
Step-by-step explanation: Formula for volume of a cone: pi*r^2 h /3
Plug in the height, h, radius, r, and pi, 3.14:
(3.14) * (4^2) * (8/3)
V = 134.0 inches cubed
Hope this helped.
). Cho hệ các vector
U = − − + − {(1,2, ); (2,3, 1);(1,0,2 n n n (0, 1,1 ); ) n } .
a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U .
b. Tìm tham số k để 2
u k = + (2,3, 1) là một tổ hợp tuyến tính của W , và suy ra [ ]W
u .
can someone help me please! it's dude today in 30 minutes & i am having a hard time .
x = 109
Step-by-step explanation:
1. All of a triangles angles will add up to 180 degrees
2. Take 180 then subtract 48 from 180
3. Your new number is now 132. Take 132 then subtract 23.
4. Answer is 109
Answer:
x=109°
Step-by-step explanation:
In a triangle, all the angles have to add up to 180° and so add and then subtract to find x
48+23=71
180-71=109
so, x=109°
Writing in Math Explain how you could convert a rate of miles
per hour to a rate of miles per second.
Answer:
divide the speed value by 3600
according to the most used browser by the name of g
Step-by-step explanation:
at a Noodles & Company restaurant the probability that a customer will order a non alcoholic beverage is .48. find the probability that in a sample of 12 customers none of the 12 customers order a non-alcoholic beverage.
How do I find this?
Answer:
Probability is 0.00039, or about a 0.039% chance of occurrence
Step-by-step explanation:
Because you know that p=0.48 is the probability that a customer will order a non-alcoholic beverage, then q = 1-p = 1-0.48 = 0.52 is the probability that a customer won't order a non-alcoholic beverage. Because 12 customers are involved, then by the binomial theorem, the probability that none of the 12 customers order a non-alcoholic beverage is p = (0.48)⁰(0.52)¹² ≈ 0.00039 or 0.039%
Surface area of a cylinder. (see attached image please)
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
Firstly you need to remember the formula to find out surface area of a cylinder - Surface area of a cylinder = 2πr ( r + h ) where r is the radius of a circular face and h is the height of the cylinder.We're provided : Diameter of cylinder = 12 which means radius ( r ) = 6 cm [ Radius is the half of diameter ] & Height ( h ) = 25 cm & we know pi ( π ) = 22/7.[tex] \large{ \tt{❁ \: LET'S \: SOLVE}} : [/tex]
[tex] \large{\boxed{ \tt{☄TOTAL \: SURFACE \: AREA \: OF\: CYLINDER= 2\pi \: r \: ( \: r + h)}}}[/tex]
- Plug the values & then simplify !
[tex] \large{↦2 \times \frac{22}{7} \times 6(6 + 25) }[/tex]
[tex] \large{↦2 \times \frac{22}{7} \times 6 \times 31}[/tex]
[tex] \boxed{\large{↦1169.14 \: \tt{ {cm}^{2} }}}[/tex]
Hence , The surface area of given cylinder is 1169.14 cm²✺ Stay dedicated because great things takes time! ♪
シHope I helped! ♡
☃Have a wonderful day / evening ! ☼
# StayInAndExplore !☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
How do you use this formula???
Please be specific.
I'll give you brainlist, I PROMISE!
A=P(1+r)^n
Answer:
Arithmetic Finance.
Compound interest
Step-by-step explanation:
when you're given the year sequence, principal and rate.
Answer:
Step-by-step explanation:
A = P ( 1 + r)^ n
This formula is used to find the Amount in Compound interest.
P --- Principal - the value we are depositing or taking loan
r - rate of interest
n --- number of years
A- amount that we get after n years or the loan to paid after n years
Which expression is equivalent to
r^9/r^3 ?
Which expression is equivalent to the expression -3(4x - 2) - 2x ?
Answer:
-14x + 6
Step-by-step explanation:
-3(4x - 2) - 2x
-12x + 6 - 2x
-14x + 6
a pair of jeans originally cost $140 and are now on sale for 65% off. what is the sale price of the jeans
Answer:
$49
Step-by-step explanation:
Method 1:
100% - 65% = 35%
[tex]\frac{y}{140}: \frac{35}{100}[/tex]
y · 100 = 35 · 140
100y = 4900
100y ÷ 100 = 4900 ÷ 100
y = 49
Method 2:
[tex]\frac{y}{140}: \frac{65}{100}[/tex]
y · 100 = 65 · 140
100y = 9100
100y ÷ 100 = 9100 ÷ 100
y = 91
$140 - $91 = $49
Gather information from relevant source and write about the he Earth's moon .
1000 words
Answer:
The Moon's orbit around Earth has a sidereal period of 27.3 days. During each synodic period of 29.5 days, the amount of visible surface illuminated by the Sun varies from none up to 100%, resulting in lunar phases that form the basis for the months of a lunar calendar. The Moon is tidally locked to Earth, which means that the length of a full rotation of the Moon on its own axis causes its same side (the near side) to always face Earth, and the somewhat longer lunar day is the same as the synodic period. That said, 59% of the total lunar surface can be seen from Earth through shifts in perspective due to libration.[17]
The most widely accepted origin explanation posits that the Moon formed about 4.51 billion years ago, not long after Earth, out of the debris from a giant impact between the planet and a hypothesized Mars-sized body called Theia. It then receded to a wider orbit because of tidal interaction with the Earth. The near side of the Moon is marked by dark volcanic maria ("seas"), which fill the spaces between bright ancient crustal highlands and prominent impact craters. Most of the large impact basins and mare surfaces were in place by the end of the Imbrian period, some three billion years ago. The lunar surface is relatively non-reflective, with a reflectance just slightly brighter than that of worn asphalt. However, because it has a large angular diameter, the full moon is the brightest celestial object in the night sky. The Moon's apparent size is nearly the same as that of the Sun, allowing it to cover the Sun almost completely during a total solar eclipse.
A store offered a buy one get one free sale for a popular shirt. The manager noticed that 35% of consumers bought a red shirt, 25% a blue, and 40% a green. Assume all consumers bought either two shirts or none at all, but no consumer buys two shirts of the same color. How many consumers did not buy any of these shirts
Answer:
50%
Step-by-step explanation:
Let X = Green and red
Y = Red and blue
Z = Green and blue
( Buy green or red or blue )
⇒ (x + y) + (y + z) + (z + y) = 25 + 40 + 25
⇒ 2( x + y + z) = 100
∴ x + y + z = 50
Buy at least one shirt = 50%
So, did not buy any shirt = 100 - 50
= 50%
Find the scale factor of ABC to MNO.
Answer:
6/5
Step-by-step explanation:
The scale factor can be obtained by simply finding the ratio of the lenght of the side of one shape to the length of the same side of the other shape.
Thus, we can obtain the scale factor that will take us from △ABC to △MNO as illustrated below:
Original Length BC = 15 in
New Length NO = 18 in
Scale factor =?
Scale factor = New lenght NO / Original length BC
Scale factor = 18 / 15
Scale factor = 6/5
Therefore, the scale factor that will take us from △ABC to △MNO is 6/5.
4. If z, a+bi and z, c+di represent two complex numbers with real components a, b, c and d, then which of the following represents the coefficient of i in the product of z, and z,?
(1) ac-bd
(2) ad-be
(3) ab+cd
(4) be+ad
Answer:3
Step-by-step explanation:
Suppose the x-axis of a density graph represents someone's height in inches. If the area under the density curve from 60 inches to 70 inches is 0.75, what is the probability of someone's height being anywhere from 60 inches to 70 inches? O A. 75% O B. 65% C. 70% D. 60% SUBMIT
OPTION A 75% is the correct answer
Before you factor you should check what two things?
Answer:
I put all the steps to factoring, hopefully this helps! ^^
Step-by-step explanation:
-Check for common factors. If the terms have common factors, then factor out the greatest common factor (GCF) and look at the resulting polynomial factors to factor further.
-Determine the number of terms in the polynomial.
-Look for factors that can be factored further.
-Check by multiplying.
Find the value of x then tell whether the side lengths form a Pythagorean triple 6 , 10 , x
Answer:
Explanation:
Use the Pythagorean theorem (
a
2
+
b
2
=
c
2
)
Lets label the right triangle such that:
a
=
12
b
=
16
c
=
x
Thus,
12
2
+
16
2
=
x
2
144
+
256
=
x
2
400
=
x
2
√
400
=
x
20
=
x
So our missing side,
c
is
20
We can now say that the sides of our triangle are
12
,
16
,
20
I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).
Step-by-step explanation:
Hope it helpful
Answer:
Step-by-step explanation:
a^2+b^2=c^2
6^2+10^2=x^2
36+100=x^2
136=x^2
[tex]\sqrt{136[/tex] =x
2[tex]\sqrt{34[/tex] =x
