Which element has the GREATEST number of dimensions?

5. The shape of a dome can be modeled by the equation h = - 2 d 2 + 100 where h is the height (in feet) of the dome from the flo

klasskru [66]

Answer:

5. When the dome is 50 feet high, the distance from the center is 5 feet

6. The equation that model the price y of an x-mile long ride is given as follows;

y = 0.1×x + $3.00

7. The discriminant is < 0; The equation has no real root

8. f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

Step-by-step explanation:

5. The given equation for the shape of the dome is presented as follows;

h = -2·d² + 100

Where;

h = The height of the dome (in feet)

d = The distance from the center

Therefore, we have;

When h = 50, d is found as follows;

h = -2·d² + 100

50 = -2·d² + 100

50 - 100 = -2·d²

-50 = -2·d²

∴ 2·d² = 50

d² = 50/2 = 25

d = √25 = 5 feet

Therefore when the dome is 50 feet high, the distance from the center is 5 feet

6. The given rate the cab charges per mile, x = $0.10

The rate the cab charges as flat fee = $3.00

Therefore, the price, y a person traveling by cab for x miles is given by the straight lie equation as y = m·x + c,

Where;

m = the slope or rate which in this case = $0.1/hour

c = A constant term which in this case = $3.00

Therefore

y = 0.1×x + $3.00

The equation that model the price y of an x-mile long ride is y = 0.1×x + $3.00

7. The discriminant, b² - 4·a·c of the quadratic equation is (-4)² - 4×3×6 = -56

which is < 0, the equation has no real root

8. Given f(x) = 7·x² + 5

f(3) = 7 × (3)² + 5 = 68

f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is given as follows;

Down 4 units is equivalent to subtracting 4 from the y-coordinate value, therefore, we have;

f(x) - 4= 7·x + 3

f(x) = 7·x + 3 + 4

f(x) = 7·x + 7

The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

4 0

3 years ago

I NEED HELP PLEASE :(

Studentka2010 [4]

Answer:

7/8

Step-by-step explanation:

power of 1/2 is the same as square root.

√(49/64) = 7/8 since 7/8 * 7/8 = 7*7/8*8 = 49/64

5 0

3 years ago

The height of a building, measured in feet, is an example of:_______.

Sedaia [141]

Answer:

Option d (quantitative data) is the correct choice.

Step-by-step explanation:

Quantitative data seems to be a collection or kind of data which is concerned regarding quantitative information or methods. That indicates its value, as well as the condition, could be represented arithmetically.
All evidence that can be quantified, checked, and suitable for statistical analysis categorizes as quantitative methods.

The remaining three options do not apply to the specified scenario. Therefore the description made will serve as an example of quantitative data.

3 0

3 years ago

Suppose B is a proper subset of C,

Tomtit [17]

Answer:

Maximum: 7

Minimum: 0

Step-by-step explanation:

A proper subset B of a set C, denoted $B\subset C$ , is a subset that is strictly contained in C and so necessarily excludes at least one member of C.

This means that the number of elements in B must be at least 1 less than the number of elements in C. If the number of elements in C is 8, then the maximum number of elements in B can be 7.

The empty set is a proper subset of any nonempty set. Hence, the minimum number of elements in B can be 0.

3 0

3 years ago

On a coordinate plane, a line is drawn from point a to point b. point a is at (7, negative 2) and point b is at (negative 8, neg

dimaraw [331]

The coordinate of the partition c on the line segment is (1.2, -4.7)

<h3>How to determine the coordinates of the partition?</h3>

The coordinates are given as:

A = (7,-2)

B = (-8,-9)

m:n = 5:8

The coordinate of the partition is calculated using: