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Novosadov
7 days ago
11

PLEASE HELP!!! A LOT OF POINTS AND BRAINLIEST TO CORRECT ANSWERS!!!

Mathematics
1 answer:
Leona [12.2K]7 days ago
8 0
1. 2. 3. 4. 5. the vertex is at the coordinates: (3, 10) Step-by-step explanation: To ascertain the type of conic involved, we can rewrite the given conic formula through completing squares. This reveals a circle with a radius of 4, from which we can derive the standard formula for a circle of radius R. The parabola has its axis of symmetry along x=4. Observing from the graph attached, the parabola's vertex lands at the coordinate (-3, -2), which offers a general vertex form of a parabola as we determine the parameter "a" by ensuring the parabola intersects another evident point, such as the zero at (-1, 0) crossing the x-axis. Consequently, the equation of the parabola is established. The focus of this parabola is found to be at (4, 3) while the directrix exists at y=1, confirming a vertically oriented parabola shifted from the origin. Hence, we deduce the x position of the vertex is centered at x=3, centrally located between the solutions noted earlier. To find the c value, we apply the rest of the quadratic formula for the solutions at hand. Therefore, the determined expression for the vertex is: (3, 10).
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Nik needs to estimate how many books will fit in a bin. Each book is 1 ft tall, 0.5 ft wide, and 0.1 ft thick. The bin is 5 feet
lawyer [12234]

Answer:

600 books

Step-by-step explanation:

The dimensions of the bin are

5 by 2 by 3

The volume of the bin is found by multiplying these three dimensions.

Volume of Bin = 5 * 2 * 3 = 30 cubic feet

To find the volume of each book, we use the same method. The dimensions of one book are:

1 by 0.5 by 0.1

Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet

The total number of books fitting into the bin is calculated by:

30/0.05 = 600 books

6 0
1 month ago
An account with a $250 balance accrues 2% annually. If no deposits or withdrawals are made, which graph can be used to determine
Inessa [12265]

Answer:

7 years

Step-by-step explanation:

Since a graph isn’t provided, I will indicate how many years are involved, and you should be able to deduce it from this. First, let’s [use a calculator] to find 2% of 250, which equals 5. Adding 5 to the total only slightly impacts 2% of the original amount, changing it by 0.1 or 5/50. We can continue adding 5 until we exceed 282, which occurs after 7 increments, calculated as (285 minus 250) divided by 5. Thus, the answer is indeed 7 years. A quick calculation will confirm this.

5 0
1 month ago
Read 2 more answers
The area of the postcard is 24 square inches. What is the width b of the message (in inches)?
Leona [12263]
Area of a rectangle = length x width
For this postcard:
length = 4 in
width = (3+b) in
area = 24 in^2

Substitute into the area formula:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in

Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch
4 0
1 month ago
6 clients are throwing a party. Each cake serves 24 servings and has a party of 70 +3staff how many cakes are needed?
tester [12051]
4 cakes are required.
8 0
1 month ago
Read 2 more answers
In a circle, an arc 60 centimeters long subtends an angle of 5 radians. What is the radius of the circle?
Inessa [12265]
Got it!
There are 2π radians in a complete circle.

Now, let's calculate the circumference.
5/2π = 60/circumference.
Next, solve for the circumference.
By multiplying both sides by 2π, we have: 5 * circumference = 120π.
Now divide both sides by 5, and we find: circumference = 24π.

Using the formula c = 2πr,
we set 24π = 2πr.
Dividing both sides by 2π gives us r = 12. Thus, the radius measures 12cm.
6 0
1 month ago
Read 2 more answers
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