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3 years ago

Sebastian's Bagel Shop recorded how many bagels it recently sold in each flavor.

Mathematics

2 answers:

padilas [110]3 years ago

6 0

Answer:

1/4

Step-by-step explanation:

yKpoI14uk [10]3 years ago

4 0

Answer:

Step-by-step explanation:

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Please help! A-level maths.

astra-53 [7]

$x+y=k\implies y=k-x$

Substitute this into the parabolic equation,

$k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0$

We're told the line $x+y=k$ intersects $C$ twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

$(-7)^2-4(k+3)=49-4(k+3)>0\implies k$

We can tell from the quadratic equation that $C$ has its vertex at the point (3, 6). Also, note that

$-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5$

and

$-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6$

so the furthest to the right that $C$ extends is the point (5, 2). The line $x+y=k$ passes through this point for $2+5=k\implies k=7$ . For any value of $k$ , the line $x+y=k$ passes through $C$ either only once, or not at all.

So $7\le k$ ; in set notation,

$\{k\mid 7\le k$

4 0

4 years ago

A soccer ball has a 35 cm diameter. what is the volume of the contents of the ?

Anettt [7]

Answer:

To calculate the volume of a sphere, use the formula v = ⁴⁄₃πr³, where r is the radius of the sphere. If you don't have the radius, you can find it by dividing the diameter by 2. Once you have the radius, plug it into the formula and solve to find the volume.

Step-by-step explanation:

To find the volume of a soccer ball,the formula is V=4/3 πr^3,where r is the radius and π=3.14. A regulation soccer ball has a radius of 35cm. find the volume of a soccer ball to the nearest cubic centimeter. This is just some to keep in mind.

4 0

4 years ago

Read 2 more answers

4. Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.

Pepsi [2]

**The missing image is attached below**

The correct answer is: 400 ft^3

Explanation:
The volume of the square pyramid = $\frac{a^2h }{3}$

Where a = base = 10 ft
h = $\sqrt{x^2 - ( \frac{a}{2} )^2} = \sqrt{13^2 - 5^2} = \sqrt{144} = 12$

Plug in the values in the equation:
The volume of the square pyramid = $\frac{10^212 }{3}$ = 400 ft^3

5 0

3 years ago

If x varies inversely as y 2, and x = 2 when y = 20, find x when y = 5.

Dominik [7]

Step-by-step explanation:

$x = \frac{k}{y}$

x varies inversely as y. This means that x is equal to the inverse of y which can be translated as x = 1/y but the problem said that x is not exactly equal to the inverse of y. Therefore, we need to introduce a factor k. Factor k will represent the word "varies" in the problem.

To illustrate:

$x = \frac{k}{y}$

Since we don't have the value of k, we have to solve for it by using the first values of x and y which was given as x=2 and y=20.

$x = \frac{k}{y} \\ 2 = \frac{k}{20} \\ k = 2(20) = 40$

Now that we have the value of k, we can now solve for the value of x when y=5.

$x = \frac{k}{y} \\ = \frac{40}{5} \\ = 8$

Therefore, when y is 5, the value of x is 8.

6 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Match each expression to the correct verbal description. 8 added to t

QveST [7]

Answer:

A. (7x)³ + 8 ⇔ 8 added to the product of 7 and x cubed

B. 7x³ + 8 ⇔ 8 added to cube of 7x

C. 7 (x + 8)³ ⇔ 7 times the cube of the sum of x and 8

D. (7x + 8)³ ⇔ the cube of the sum of 7x and 8

Step-by-step explanation:

1. Let's drag the tiles to the correct boxes to complete the pairs.

A. (7x)³ + 8 ⇔ 8 added to the product of 7 and x cubed

The second tile was already given and solved, however we're copying it.

B. 7x³ + 8 ⇔ 8 added to cube of 7x

C. 7 (x + 8)³ ⇔ 7 times the cube of the sum of x and 8

We use the expression 7 times because number 7 is multiplying the sum inside the parenthesis.

D. (7x + 8)³ ⇔ the cube of the sum of 7x and 8

6 0

3 years ago