Greatest integer function What is the value of [-12]?
A. –13
B. –12
C. 12
D. 13

Answers

Answer 1
Answer: basically if the number is not an integer, round down to the nearest integer
-12 is integer
we are done

B is anres

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The ratio of two numbers is 5 to 3. The sum of the numbers is 16. What are the numbers? 8 and 8 9 and 7 15 and 9 10 and 6

Answers

(x)/(y)=(5)/(3)\nx+y=16\n\n(x)/(y)=(5)/(3)\nx=16-y\n\n(16-y)/(y)=(5)/(3)\n5y=3(16-y)\n5y=48-3y\n8y=48\ny=6\n\nx=16-6\nx=10

10 and 6

The ratio of the numbers is 5 : 3 and the numbers are 10 and 6.

Given data:

The first number is x and the second number is y.

The ratio of the two numbers is 5 to 3, which can be expressed as x/y = 5/3.

The sum of the numbers is 16, which can be expressed as x + y = 16.

From the ratio x/y = 5/3:

3x = 5y (equation 1)

From the sum x + y = 16:

x = 16 - y (equation 2)

Now , substitute equation 2 into equation 1 to solve for y:

3(16 - y) = 5y

48 - 3y = 5y

48 = 8y

y = 48/8

y = 6

Substituting the value of y back into equation 2:

x = 16 - y

x = 16 - 6

x = 10

Hence, the numbers are x = 10 and y = 6.

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Another wooden plank is leaning against an outside wall of a building. The bottom of the plank is 9 ft from the wall. The length of the plank is 41 ft. Find each of the following values, and show all your work. (a) Find the value of x. Round to the nearest tenth of a degree. (b) Find the height above the ground where the plank touches the wall. Round to the nearest foot.        sorry the link for the triangle isn't working

Answers

Given:
bottom of the plank or ground is 9 feet from the wall
length of the plant is 41 ft
height of the wall is unknown.

Let us use the Pythagorean theorem.

a² + b² = c²
a² + (9ft)² = (41ft)²
a² + 81 ft² = 1,681 ft²
a² = 1,681 ft² - 81 ft²
a² = 1,600 ft²
√a² = √1,600 ft²
a = 40 ft

The height of the wall is 40 ft.

What value of x makes the equation true? 3x+21=8x-4

Answers

Answer:

x=5  

Step-by-step explanation:

3 times 5= 15

15+21= 36

8 times 5 = 40

40-4=36

3x+21=8x-4
3x-8+21=-4
3x-8x=-4-21
-5x=-4-21
-5x=-25
x=5

PLS HELP 30 POINTS+BRAINLIEST!!The __________ is the layer of the atmosphere nearest to Earth's surface.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere

The __________ contains the highest concentration of ozone.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere

The _________ protects the earth from meteoroids.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere

The _________ layer is the coldest layer in the atmosphere.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere

Most weather occurs in the _________.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The __________ the atmospheric layer farthest from Earth.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere

Answers

B: Troposphere
C: Stratosphere
D: Mesosphere
D: Mesosphere
B: Troposphere
A: Exosphere

XZ=15 and the perimeter of XWZ is 50. what is the length of WZ?

Answers

Assuming that this is an Isosceles Triangle which has 2 sides equal, then we can assume as well that XZ being the base of 15 and the total perimeter is XWZ = 50.

Perimeter = X + W + Z

Therefore;

XWZ (50) – XZ (15) = 35

Since we are assuming that this is an Isosceles triangle then 2 sides should have equal distance.

35 / 2 = 17.5

Hence, XW = 17.5 and ZW = 17.5

Perimeter = 15 + 17.5 + 17.5 = 50

Jeremy is 29 years old and in good health. What is the annual premium for the cheapest policy having a $90,000 face value that Jeremy can buy?For age 29, a male whole life if 18.25, 20-payment life is 31.39, and 20-year endowment is 39.69.


a.

$1,825

b.

$1,294

c.

$1,929

d.

$1,643

i just did it and its D

Answers

1643 is the annual premium for the cheapest policy Jeremy can buy.

What is Annual Premium?

The amount of money a business or an individual pays for a policy annually is called the annual premium.

Face value is the amount of benefits in the form of money or other beneficiaries a policy holder receives at maturity.

Age of Jeremy = 29

Face value of the policy = $90,000

Estimated annual premium = (Face value ÷ 1000) × rate

Annual premium payable for a man whole life = (90,000 ÷ 1000) × 18.25

                                                                             = 90 × 18.25

                                                                             = 1642.5 ≅ 1643

Hence, Annual premium for the cheapest policy having a 90,000 face value that Jeremy can buy is $1643.

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Answer:

Step-by-step explanation:

D