Answer:
t = 10n + 25
Step-by-step explanation:
At the end of n weeks, the total amount that Melissa would have can be found by the function, t = 25 + 10n.
Melissa made $25 from washing her mother's car and keeps it aside.
She then makes $10 every week. This means that in n number of weeks, the amount she would have made from chores is:
= Amount per week x number of weeks
= 10 x n
= 10n
The total she would then have in n weeks is:
= Amount saved from mother + Amount earned from chores in n weeks
= 25 + 10n
This total is t, so the total function is t = 25 + 10n.
Find out more at https://brainly.com/question/23241041.
(PLEASE HELP!) The central angle of a sector is 72 degrees and the sector has an area of 15.71. Find the radius.
Answer: The radius is 5 units (approximately)
Step-by-step explanation: The area of a sector with central angle X is given as;
Area = (X/360) x pi x r^2
Since the area has been given as 15.71 units, we can input the known values into the formula as follows;
15.71 = (72/360) x 3.14 x r^2
By cross multiplication we now have
(15.71/3.14) = 1/5 x r^2
(15.71/3.14) x 5 = r^2
78.55/3.14 = r^2
25.0159 = r^2
Add the square root sign to both sides of the equation
5.001 = r
The radius is equal to 5 units (approximately)
The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square feet, of the remaining board?
5 FT 2 squared
10 Ft 2 squared
15 Ft 2 squared
20 Ft 2 Squared
Answer:
20ft ^2 (squared)
Step-by-step explanation:
We deduct the circle area from the square area but first find out the radius triangle segment the 1/diagonal of the square. To find the hypotenuse h= c=r
h^2 =c = a+ b
h^2 = 8^2+ 8^2
h^2 =√64 + √64
h^2 =√128 = 11.313708499/3 = 3.77123616633
r= 5.65ft or 5.66ft rounded up
Square area formula = L x W = 8ft x 8ft = 64ft^2
Circle area formula= A=πr2 = (π = 3.14159265359 (3.77123616633x 3.77123616633) = 14.2222222222 x 3.14159265359 = 44.680428851
A = 14.2 x π
A = 44.68ft
64 - 44.68 = 19.32ft^2
The answer must be 20ft ^2 squared.
first to answer correctly gets brainliest
Answer the answer is power if 10
Step-by-step explanation:
2. Riley finds out that Cooper’s Storage and Shipping Company is working with a local business to package some office supplies. The supplies are packed inside a cube-shaped box with side lengths of in.
(a) Find the surface area of the cube shaped box. Show your work. (2 points for correct answer, 1 point for work
These boxes are then packed into a shipping container with dimensions of
(b) Draw a net of the rectangular prism. Label the net with the measurements. (1 point for net, 1 point for labeling measurements)
(c) How many boxes of office supplies can be packed into the larger container for shipping? Show your work. (2 points for correct answer, 1 point for work)
Answer:
1.
a) 357 inches³ of water more would be required to fill the tank
b) Riley is not correct, the volume of the larger aquarium is 27
times larger than the volume of the smaller on
c) Riley is not correct, the surface area of the larger aquarium is 9
times the surface area of the smaller one
2.
a) There are 8 boxes of office supplies can be packed into
the larger box for shipping
b) The surface area of the shipping box is 567 inches²
Step-by-step explanation:
1.
a) * Lets study the first aquarium:
- The formula for volume is V = l × w × h
∴ It is a rectangular box of dimensions 16 in , 8.5 in , 10.5 in
∴ Its volume = 16 × 8.5 × 10.5 = 1428 inches³
* The full capacity of this aquarium is 1428 inches³
- Riley noticed that it 3/4 full of water, then still can fill with
1/4 to be full
- Why 1/4 because 1 - 3/4 = 1/4
∴ The volume of 1/4 the aquarium = 1/4 × 1428 = 357 inches³
* There are 357 inches³ of water more would be required to fill the tank
b) * Lets talk about the larger aquarium
- Each dimension will be triple to construct the larger aquarium
- That means we will multiply each dimension of the small aquarium by 3
- That means the ratio between each dimension in the larger
aquarium to the smaller aquarium is 3 : 1
∴ The ratio between their volumes will be (3 : 1)³
- Because we will multiply each dimension by 3 and they
are 3 dimensions, that means 3 × 3 × 3 ⇒ 3³
∴ The ratio between their volumes = 27 : 1
∴ Riley is not correct because the volume of the larger aquarium is 27
times larger than the volume of the smaller aquarium
c) * Similar for the surface area of the larger aquarium
- Each dimension will be triple to construct the larger aquarium
- That means we will multiply each dimension of the small aquarium by 3
- That means the ratio between each dimension in the larger
aquarium to the smaller aquarium is 3 : 1
∴ The ratio between their surface area will be (3 : 1)²
- Because we will multiply each dimension by 3 and to get the
surface area we multiply each two dimensions for the six faces
and then add them
∴ The ratio between their surface area = 9 : 1
∴ Riley is not correct because the surface area of the larger aquarium
is 9 times larger than the surface area of the smaller aquarium
2.
a) * Lets think about this situation
- We want to fill some office supplies boxes of side length
4.5 inches inside the shipping box of dimensions 18 in , 9 in , 4.5 in
- That means the volume of the shipping box is how many times
the volume of the office supplies box
∴ The number of office supplies boxes = the volume of shipping box ÷ the volume of the office supplies box
∵ the volume of shipping box = 18 × 9 × 4.5 = 729 inches³
∵ the volume of the office supplies box = 4.5 × 4.5 × 4.5 = 91.125 inches³
∴ The number of office supplies boxes = 729 ÷ 91.125 = 8 boxes
* There are 8 boxes of office supplies can be packed into
the larger box for shipping
b) Look to the Net of the shipping box
- The net has 6 faces shaped rectangles
- Each two faces are congruent
- To find the surface area we will add all the areas of the 6 faces
- Two faces with dimensions 18 in and 9 in
∴ Their areas = 2 (18 × 9) = 324 inches²
- Two faces with dimensions 18 in and 4.5 in
∴ Their areas = 2 (18 × 4.5) = 162 inches²
- Two faces with dimensions 4.5 in and 9 in
∴ Their areas = 2 (4.5 × 9) = 81 inches²
∴ The total surface area = 324 + 162 + 81 = 567 inches²
* The surface area of the shipping box is 567 inches²
Final answer:
The question involves calculating the surface area of a cube, drawing a net of a rectangular prism, and determining how many smaller cubes fit within the larger prism. However, required measurements are missing, making it impossible to provide exact answers to the calculations.
Explanation:
The student is tasked with answering questions related to geometry, specifically involving cubes and rectangular prisms. To find the surface area of the cube-shaped box, one would need the side length of the cube. The formula for the surface area of a cube is SA = 6s², where s is the side length. However, since the side length is not given in the question, this cannot be completed as presented.
To draw a net of a rectangular prism, you would draw six rectangles that correspond to the faces of the prism. Each rectangle would be labeled with its corresponding dimensions. Again, the specific dimensions of the container are not provided in the question.
Finally, to determine how many boxes can be packed into the larger container, you would need the volume of both the boxes and the container. The volume of each is calculated by multiplying the length, width, and height for rectangular prisms, or raising the side length to the third power for cubes. Then, divide the volume of the container by the volume of one box to find the number of boxes that can fit inside, assuming no wasted space. Without the actual dimensions, this calculation cannot be completed.
at ivans ice cream shop, 8 small sundays costs the same as ordering 4 small small sundays and 2 large sundays. if one small costs $3, how much does one large sunday cost
Answer:
$6
Step-by-step explanation:
(3)8=24
(4)3=12
24-12=12/2=6
if f(x)=2(3^x)+1, what is the value of f(2)
Answer:
19
Step-by-step explanation:
f(x)=2(3^x)+1,
Let x=2
f(2)=2(3^2)+1
Exponents first
=2 (9) +1
Then multiply
=18+1
=19
Answer:
19
Step-by-step explanation:
f(2) = 2(3²) + 1
= 2(9) + 1
= 18 + 1
= 19
Rewrite 18/5 as a mixed number.
Answer:
3 3/5
Step-by-step explanation:
Just divide 18 by 5 but rather than putting it in decimal form, it should be in fractional form
Thank me later :)
Answer:
3 3/5
Step-by-step explanation:
18/5
Take 18 and divide by 5
It goes in 3 times 5*3 =15
18-15 =3
This goes over the denominator
3 3/5
Consider the diagram below and find the measure of angle CGE
Answer:
Step-by-step explanation:
B: 61
A bullet has an initial velocity of 1000 meters per second. 5 seconds later, it has a velocity
of 500 meters per second. What is the acceleration of the bullet?
O
A. 300 meters/second/second in the opposite
direction of travel
O
B. 100 meters/second second in the same
direction of travel
O
C. 100 meters/second second in the same
direction of travel
O
D. 300 meters/second/second in the opposite
direction of travel
Answer:
b or c
Step-by-step explanation:
being that the answers are the same it should be 100 meters/second in the same direction. you will take the initial velocity, 1000, and subtract the new velocity, 500, and divide it by time. the direction deals with acceleration and if it is flying strait with no forces acting on it to move it, it will remain strait.
True or False? The first distribution shown below has a smaller mean than
does the second distribution.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112
O
A. True
O
B. False
The first distribution with numbers ranging from 1 to 12 has a mean of 6.5, while the second distribution with numbers from 101 to 112 has a mean of 105.5. It is therefore True that the first distribution has a smaller mean than the second distribution.
The question asks whether the first distribution (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12) has a smaller mean than the second distribution (101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112). To determine this, we will calculate the mean of both distributions.
The mean of a distribution is calculated by adding all the numbers in the set and then dividing by the count of numbers.
For the first distribution:
Mean = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12) / 12
Mean = 78 / 12
Mean = 6.5
For the second distribution:
Mean = (101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 109 + 110 + 111 + 112) / 12
Mean = 1266 / 12
Mean = 105.5
Comparing the means of both distributions, the first distribution has a mean of 6.5 and the second distribution has a mean of 105.5. Therefore, it is True that the first distribution has a smaller mean than the second distribution.
Furthermore, this corresponds to elementary properties of means where adding the same value to all elements of a distribution shifts the mean but does not affect the comparison of means of two distributions if the same value is added to each distribution.
Find the exact volume of the cylinder. Diameter 10 ft and height 8 ft
The exact volume of the cylinder with a 10 ft diameter and 8 ft height is found using the formula V = πr²h. With a diameter of 10 ft, the radius is 5 ft. The calculated volume is 628.318 cubic feet.
Explanation:To find the exact volume of a cylinder with a diameter of 10 ft and a height of 8 ft, we can use the following formula:
V = πr²h
Where V is the volume, r is the radius of the cylinder (half of the diameter), h is the height, and π (pi) is approximately 3.14159. Since the diameter is given as 10 ft, the radius will be 5 ft (half of the diameter).
Substituting our values into the formula gives us:
V = π × (5 ft)² × 8 ft
V = 3.14159 × 25 ft² × 8 ft
V = 3.14159 × 200 ft³
V = 628.318 ft³
Therefore, the exact volume of the cylinder is 628.318 cubic feet.
Please help me with #1.
Answer:
810 square meters
Step-by-step explanation:
I did 12 x 15 x 18 and got 3240
then I divided 3240 by 4 because there are 4 sides of it which gave me 810
Hope This helps!
solve 49x^2+64=0 by using square roots
Answer:
x = ±i8/7
Step-by-step explanation:
49x^2 +64 = 0
Subtract 64 from each side
49x^2 +64-64 = 0-64
49x^2 = -64
Divide by 49
49x^2/49 =-64 /49
x^2 = - 64/ 49
Take the square root of each side
sqrt(x^2) = ±sqrt(- 64/ 49)
x = ±sqrt(- 64/ 49)
We know sqrt( ab/c) = sqrt(a) sqrt(b)/sqrt(c)
x = ±sqrt(- 1) sqrt(64)/( 49)
We know that the sqrt(-1) = i
x = ±i8/7
please help me!!!!!!
Answer:
C
Step-by-step explanation:
Answer A does not come out to an even answer.
Answer:
C
Step-by-step explanation:
The Pythagorean theorem only works with right triangle. Seeing that the only right triangle is C the correct answer must be C. If you don't know how to identify a right triangle one of the easiest things to do is that there is a box in the corner and that means it is a right triangle. A right triangle is a triangle in which one of the corners is at at 90 degree angle
miranda stared with no meoey and saved $15 each week.
Answer:
?
Step-by-step explanation:
however many weeks the question is asking for just multiply that number by 15
Answer:
15w
Step-by-step explanation:
So, there is a rate. It would be 15w
w=Week.
Since she started with no money at all, it would be simple. 15w.
Hope this helped!
Use the net to find the surface area of the cylinder.
Give your answer in terms of pi
Answer:
104pi
Step-by-step explanation:
What is the diameter of a circle with a circumference of 84.78 inches? Use 3.14 for π. Enter your answer in the box.
Answer:
your answer would be 26.99 or 27
Step-by-step explanation:
Hope this helps
Answer:
d=26.9863
Step-by-step explanation:
to find the diameter divide the circumference by 3.14
hope this helps
stay safe
brainliest is appreciated :))
suppose y varies inversely with x. Write an equation if y=-3 when x=17
Answer:
y = -51 ÷ x
Step-by-step explanation:
The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = -3 when x = 17 and y varies inversely with x.
So we substitute the values y = -3 and x = 17 in the equation y = k ÷ x
K = constant, we have to work this out
-3 = k ÷ 17
-3 × 17 = k
k = -3 × 17
k = -51
k = -51 So then we put this back into the original y = k ÷ x to find our final equation which is y = -51 ÷ x
Determine whether each formula is explicit or recursive. Then find the first five terms of each sequence.
a1= 5, an = 3 - a(n-1)
Answer:
5, -2,5,-2,5 Recursive
A cat had a litter of 5 kittens. If each sex is equally likely, what is the probability that 3 or less were female kittens? 0.3125 0.500 0.8125 0.2500
Answer:
WHAT IS THIS QUESTION AHHH BUT 03125
Step-by-step explanation:
Answer:
Probability of 3 or less = 0.8125.
Step-by-step explanation:
This is a binomial probability distribution.
Prob(0 females) = 5C0(1/2)^5 = 0.03125
Prob(1 female) = 5C1 (1/2)^5 = 0.15625
Prob(2 females) = 5C2(1/2)^5 = 0.3125
Prob(3 females) = 5C3(1/2)^5 = 0.3125
Adding these we get 0.8125.
Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.
The probability that the sum of the numbers rolled is either even or a multiple of 5 is
Answer:
The answer is 7/36.
Step-by-step explanation:
First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word or says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.
Answer: For plato
1. 11/18 .
2. 5/9.
Step-by-step explanation:
The probability that the sum of the numbers rolled is either even or a multiple of 5 is 11/18 . The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is 5/9.
To convert 67.9 decimeters to millimeters,
multiply 67.9 by 10.
multiply 67.9 by 10^2.
divide 67.9 by 10^2.
divide 67.9 by 10.
Answer is B
Answer:
Option b
Step-by-step explanation:
To convert decimeters to millimeters you have to multiply it by 100 also know as 10 by the power of 2.
Answer: it option b on the exam hope this helps
Step-by-step explanation:
The list shows the amount of snow, in inches, that fell each day for 5 days.
8, 3, 12, 1.1
What is the mean daily snowfall?
O
A. 1 inch
O
B. 3 inches
O
c. 4 inches
OD. 5 inches
Answer:
5 inches
Step-by-step explanation:
Answer:
Step-by-step explanation:
► 00:00
What is a logical mathematical argument in which every statement of fact is supported by a reason?
?
Answer:
Proof
Step-by-step explanation:
PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason
due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.
Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic
Answer:
Proof
Step-by-step explanation:
The rectangular bed of a truck is 1 9⁄10 meters long, 1 1⁄2 meters wide, and 1⁄2 meter tall. What is the volume of the truck's bed?
Answer:
1 17/40 m^3
Step-by-step explanation:
Volume = l*w*h
= 1 9/10 * 1 1/2 * 1/2
Changing the mixed numbers to improper fractions
1 9/10 = (10*1+9) /10 = 19/10
1 1/2 = (2*1+1)/2 = 3/2
1/2 = 1/2
V = 19/10* 3/2*1/2
=57/40
Changing this back to a mixed number
40/40 + 17/40
1 17/40
Answer:
1 17/40 m³
Step-by-step explanation:
1.9 × 1.5 × 0.5
= 1.425 m³
19/10 × 3/2 × 1/2
= 57/40
= 1 17/40 m³
For whаt vаluе оf x does 3^4х = 27^x-3?
Answer:
x = -9
Step-by-step explanation:
3^4х = 27^(x-3)
Replace 27 with 3^3
3^4х = 3^3^(x-3)
We know that a^b^c = a^ (b*c)
3^4х = 3^(3(x-3))
Since the bases are the same, the exponents are the same
4x = 3(x-3)
Distribute
4x =3x-9
Subtract 3x from each side
4x-3x = 3x-3x-9
x = -9
(5x-5)+(2x+10) find the value of x
Answer:
you mean this (5x-5)=(2x+10)right ? if yes X=5
Step-by-step explanation:
if this (5x-5)+(2x+10)=0 so X= - 5/7
Answer:7x+5
Step-by-step explanation:Add together your x’s then add together -5 and 10 to get 7x+5
Kristen recorded the amount of liquid (in ml) of eight containers. She created a box plot of her data. What is the interquartile range
of Kristen's data?
A: 7
B: 13
C:31
D:50
Suppose you borrow $500 and you plan to pay it back all at once in 5 years. You are charged 2% interest compounded monthly.
What is the total amount you will need to pay when the loan is due?
Round your answer to the nearest dollar.
Answer: $553
Step-by-step explanation: 500(1.0016666)^60
500(1.10507451358)
552.537256789
$553
What is the length of the hypotenuse of the triangle?
√ 20 cm
√ 23 cm
√ 40 cm
√ 58 cm
Answer:
√58 cm.
Step-by-step explanation:
The hypotenuse is the line AB.
Using the Pythagoras theorem:
AB^2 = 3^2 + 7^2
AB^2 = 9 + 49 = 58
AB = √58 cm.