Answer:
2 packages will contain 40 cookies
Step-by-step explanation:
1 package of cookies: 20 cookies
2 packages of cookies: 20 x 2=40
Calculate the amount in an account at the end of one year if the account starts with the principal amount stated below and earns the specified annual rate of interest compounded yearly.
Principal = $3,000 Rate = 4%
Answer:
$3120Step-by-step explanation:
Principal P = $3000Rate r = 4% = 0.04 timesInterest type = compoundNumber of compounds n = 1Time t = 1 yearFuture amount is:
FA = P(1 + r)^(nt)FA = 3000(1 + 0.04)^1 = $3120Susan has a blue skirt, a green skirt, and a gray skirt. She also has a white sweater, a purple sweater, and a green sweater.
If she randomly selects her outfit, what is the probability she will select the gray skirt and the purple sweater to wear to work that day?
The triangle is a(n) ___ triangle
Answer:
Acute
Step-by-step explanation:
two of the angles are acute and the other is right.
write the series in the sigma notation. NO LINKS!!
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 44:
Because there are 5 terms in the sequence, with each term getting multiplied by 3 having the first term be 3, this equates to the sigma notation [tex]\[ \sum_{n=1}^{5} 3^{n}\][/tex].
Problem 45:
Because there are 5 terms in the sequence, with each term getting multiplied by 1/2 having the first term be 80, this equates to the sigma notation [tex]\[ \sum_{n=1}^{5} 80(\frac{1}{2})^{n-1}\][/tex].
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Answer:
44. sum[n=1..5](3^n)
45. sum[n=0..3](80·2^-n)
Step-by-step explanation:
The summation symbol is used to collapse all of the plus signs. The argument of the summation symbol is the general term of the series. These are both geometric series, so the general term can be written in the form ...
an = a1·r^(n-1)
where a1 is the first term and r is the common ratio.
The "-1" can be removed from the exponent if the summation starts with n=0 instead of n=1. Sometimes the multiplication by a1 can be accomplished by adjusting the exponent of the exponential term.
__
49. The first term is 3 and the common ratio is 3, so the general term is ...
an = 3·3^(n-1) = 3^n . . . for n starting at 1
There are 5 terms in this series, so it can be written as ...
[tex]\displaystyle S=\sum_{n=1}^5{3^n}[/tex]
__
50. The first term is 80 and the common ratio is 1/2, or 2^-1. Then the general term is ...
an = 80·(2^-1)^(n-1) . . . for n starting at 1
If we let start at 0, then the general term is ...
an = 80·2^-n
There are 4 terms in the series, so it can be written as ...
[tex]\displaystyle S=\sum_{n=0}^3{(80\cdot2^{-n})}[/tex]
(I also need an explanation)
Answer: 360000
Step-by-step explanation:yes because they want to reach to faster before the others to come and they have lot of feet that they can use
The scores of two basketball teams in 7 games are given below.
Team A: 18, 68, 60, 54, 58, 55, 63
Team B: 52, 62, 54, 71, 49, 54, 22
Based on the data, which statement is correct?
A. Team B scores on average more points than team A because team B
has a greater mean than team A.
B. Team A scores on average more points than team B because team A
has a greater mean than team B.
C. Team B scores on average more points than team A because team B
has a greater range than team A.
D. Team A scores on average more points than team B because team A
has a greater range than team B
Answer:The answer is C
Step-by-step explanation:because to slove from range you have subtract the highest number from the lowest number from each team.Meaning ,that Team A range is 45 ,and Team B is 49 whice means that Team B is automatically the highest,so team B had more scores than team A.
A point is dilated by a scale factor of 1/3 centered about the origin, resulting in the
new coordinates (-6,3). What are the coordinates of the point prior to the
dilation?
Answer:
(-18, 9)
Step-by-step explanation:
If a coordinate A(x,y) is dilated by a factor of k, the new coordinates will be expressed as;
A' = (kx, ky)
A' = A (kx, ky)
Given the following
k = 1/3
A' = (-6, 3)
Substitute
(-6, 3) = 1/3(x, y)
Cross multiply
3(-6, 3) = (x, y)
(x, y) = (3(-6), 3(3))
(x, y) = (-18, 9)
Hence the coordinate prior to dilation is (-18, 9)
Usually Jim walks at a speed of 5 miles/h and Jerry walks at a speed of 6 miles/h. If Jerry walked for 3 hours to climb a hill, how long will Jim take to climb the same hill?
Answer:
1.80 hours or 1 hour and 48 minutes
Step-by-step explanation:
Jerry = 3 miles every hour
Jerry took 3 hours to climb the hill.
It is safe to say that he traveled 3 miles every hour for 3 hours so he traveled 3 x 3 = 9 miles in all.
Jim walks at a speed of 5 miles an hour.
Question : How many hours would it take to travel 9 miles
9/5 = 1 4/5 of an hour
1 4/5 of an hour 1 hour 48 minutes
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
А
square has an area of 1 square unit. What is the length of the square?
Answer:
0.25 on each side
Step-by-step explanation:
Step-by-step explanation:
a leak in the pool causes the height of the water to decrease by 0.25 foot over 2 hours after a leak is fixed the height of the water is 4.75 C the equation 4.75 equals x + quotation 0 - -2.5 could be used to find the original height of the water in the pool
Miles picked 12 bushels of vegetables in 3 hours. Working at the same rate, how many bushels
can Miles pick in 5% hours?
Plz help
Answer: 22 bushels
Step-by-step explanation:
First find how many bushels can be done in an hour. Then multiply the bushels by the hours
Explain
Find all the values of x for which the statement is true, |x^2+9|=x^2+9
What's the right answer?
Given:
[tex]sinh(f(x))=1+x^2[/tex]
To find:
The value of f'(x).
Solution:
Formulae used:
[tex]\dfrac{d}{dx}sinh(x)=cosh(x)[/tex]
[tex]\dfrac{d}{dx}x^n=nx^{n-1}[/tex]
[tex]\dfrac{d}{dx}C=0[/tex]
Chain rule:
[tex]\dfrac{d}{dx}[f(g(x))]=f'(g(x))g'(x)[/tex]
Where C is an arbitrary constant.
We have,
[tex]sinh(f(x))=1+x^2[/tex]
Differentiate with respect to x.
[tex]cosh(f(x))f'(x)=0+2x[/tex]
[tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex]
Therefore, the required values is [tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex].
Kyle and Jorge play for a major league baseball team.
• Kyle has hit x number of home runs this season.
• Jorge has hit 4 times the number of Kyle's home runs.
Together they have hit 45 home runs.
How many home rns has Kyle hit?
The number of home runs hit by Kyle is 9.
Number of home runs by Kyle =x
So, the number of home runs by Jorge = 4x
What is the sum of x and 4x?The sum of x and 4x is 5x.
According to the question, together they have hit 45 home runs.
This means, x+4x=45
5x=45
x=9
So, the number of home runs by Kyle =9
the number of home runs by Jorge =36
Hence, the number of home runs hit by Kyle is 9.
To get more about such word problems visit:
https://brainly.com/question/21405634
what is the reciprocal of 453463.432849
Answer: 0.00000220524
Step-by-step explanation:
PLEASE HELP ASAP 50 POINTS! real answers only or will be reported and deleted!
Find the probability of “landing” in the shaded region of the figures below.
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Answer:
3/16
Step-by-step explanation:
The radii of the three circles appear to be in the ratios ...
5 : 10 : 20 = 1 : 2 : 4
Then the areas of the circles will be in the ratios that are the square of these:
1 : 4 : 16
The shaded area is the area of the middle-sized circle, less the area of the smaller circle, so is 4-1 = 3 "ratio units". The ratio of that area to the area of the largest circle is the probability of randomly choosing a point in the shaded area:
p(shaded) = 3/16
Answer:
3/16
Step-by-step explanation:
i took the test
Pls help Homework is due tomorrow and Im not sure about the answer!
Answer:
The picture isn't clear enough.
NO LINKS!!! Find the measurement indicated. Round your answer to the nearest tenth.
Answer:
Solutions given;
Using cosine rule
b²=a²+c²-2*a*c*cos B°
b²=15²+8²-2*15*8*cos39
b²=102.48
b=[tex] \sqrt{102.48} [/tex]
b=10.12
b=10.1
Using sine rule
[tex] \frac{sin A}{BC} = \frac{sin B}{AC} =\frac{sin C}{AB} [/tex]
[tex] \frac{sin 29°}{15} =\frac{sin C}{8} [/tex]
Doing criss cross multiplication
Sin C=[tex] \frac{sin 29°}{15} ×8[/tex]
m<C=Sin -¹(0.29)
m<C=14.98
m<C=15°is a required answer.
ANSWER ASAP DONT SEND A FILE. WHAT IS THE TRANSFORMATION??
Answer:
1st one.
Step-by-step explanation:
y=x−1
2x+y=8
If you were to solve the following system using substitution, your new equation would be...
Answer:
2x+ (x-1) = 8
Simplified
3x-1 =8
Step-by-step explanation:
y=x−1
2x+y=8
Take the first equation and everywhere you see y in the second equation substitute x-1
2x+ (x-1) = 8
You can simplify
2x+x-1 =8
3x-1 =8
If you want to solve
3x-1+1 =8+1
3x= 9
Divide by 3
3x/3 =9/3
x=1
Then solve for y
y = x-1
y = 3-1
y=2
After a heavy snowfall, Joe and Karin made an igloo. The dome of the igloo is in the shape of a parabola and the height of the igloo in inches is given by f(x) =−0.03x2+ 2.4x. Select the best answer.
I've searched up the answer but need an explination on the subject, since it doesn't make sense to me, and our teacher didn't teach us this because of Online Learning, but we got it in our homework. I can't find it anywhere and it's driving me nuts.
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
216 is the area
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
if it's area, then:
area = 216 cm²
Step-by-step explanation:
area = 1/2bh = 1/2(27)(16) = 216 cm²
Pls help I give brainliest and pls get this right
please please help
Question 1: What is the diameter of the semi-circular cutout in the rectangle? *
2: What is the area of the figure? *
3: The figure represents a rug with a cutout to fit around a fireplace hearth. If the carpet costs $1.50 per square foot, how much will the rug cost? *
Answer:
i dont know but i need points lol
Step-by-step explanation:
1. Diameter= 14-2-2 = 10 feet
2. 11x 14 = 154
1/2 x 3.14 x 5^2 = 39.25
Area = 154-39.25 = 114.75 square feet
3. 114.75 x 1.50 = $172.13
Convert 40° to radians.
PLEASE
Answer:
We know π rad = 180°, then 1° is:
1° = π / 180 = 0.01745329251 radThen 40 ° is:
40° = 40×0.01745329251 = 0.69813170079 radAccording to the preamble, who gives power to the
Constitution?
O foreign powers
O the people
O the states
O elected officials
Answer:
The People
Step-by-step explanation:
The first part of the preamble states, "We the People of the United States, in Order to form a more perfect Union..." The United States government was built by the people, for the people. It was important to the founding fathers that there could be a democracy where the people could hold the power of the government. So, they wrote this into the constitution and preamble.
The distance between the amusement park and the bus terminal on a map is 2.25 inches. The map uses a scale in which 1 inch represents 15 miles. What is the actual distance between the amusement park and the bus terminal?
Answer:
33.75 miles
Step-by-step explanation:
[tex]\frac{1}{15} :\frac{2.25}{y}[/tex]
1 × y = 2.25 × 15
y = 33.75
Which of the following is(are) the solution(s) to |7x +12|= 12?
O A. x = -24,0
O B. x= 24,0
24
O C. X=-
O D. x = 0
Answer:
the answer is B because theres no negative
Daniel is tiling his kitchen, but he does not want to tile under the refrigerator. The area he will tile is shown. What is the area that he will tile?
Answer:
174 ft squared
Step-by-step explanation:
6*20=120
3*18=54
54+120=174
What expression defines Sn?
Answer:
Sₙ=3(1/2^n)
Step-by-step explanation:
Notice that in the given series that each term is being multiplied by 1/2, which is our common ratio. 3/2 is the first term because 3*1/2=3/2, so the expression that defines Sₙ is Sₙ=3(1/2^n)
The number of pets is shown for houses on four different streets. Which data set fits a normal distribution curve?
O 3, 5, 4, 3, 4, 5, 4, 3, 4, 5, 3, 4,3,4,5,4,5,5, 4,5
O 2, 1, 4, 5, 3, 2, 1, 2, 3, 5, 6, 4, 5, 2, 2, 3, 4, 5, 2,7
O 0,3, 4, 2, 1, 4, 0,5, 4, 6, 4, 3, 4, 2, 1, 5, 6, 4, 3,5
4, 7, 8, 9, 0, 6, 5, 6, 8, 7, 1, 2, 3, 4, 5,3,4,6,7,7
Answer:65454545
Step-by-step explanation: