Question Help
Temperature Suppose there is a 1.3°F drop in temperature for every thousand feet that an
airplane climbs into the sky. If the temperature on the ground is 46.3°F, what will be the
temperature when the plane reaches an altitude of 11,000 ft?
The temperature will be
°F (naan

Answer:

18 : 30

Step-by-step explanation:

3 + 5 = 8 (Total units)

48 ÷ 8 = 6

3 units = 6 x 3 = 18

5 units = 6 x 5 = 30

So it's 18 : 30

Answer:

Answer: 50 feet

Step-by-step explanation:

Let the length be represented by x

The width of the basement is 4/5 its length. Therefore, the width is 4/5x = 0.8x

Area = Length × Breadth

2000 = x × 0.8x

0.8x² = 2000

x² = 2000/0.8

x = ✓2500

x = 50

Therefore, the length is 50feet

Answer:

[tex]\frac{x^3 +7x^2-2x-6}{x+ 7} \ = \ x^2 -2 \ +\ \frac{8}{x^3 +7x^2-2x-6}[/tex]

Step-by-step explanation:

Given polynomial function;

x³ + 7x² - 2x - 6

divisor of the polynomial = x + 7

The function is divided as follows;

                                   x²  - 2

                               ---------------------------

                  x + 7   √ x³ + 7x² - 2x - 6

                              - (x³  + 7x²)      ↓

                              -----------------------------

                                                 -2x - 6

                                               - (-2x - 14)

                               -----------------------------------

                                                           8

Since there is a remainder of 8, then the result is expressed as follows; [tex]q(x) + \frac{r(x)}{b(x)} = x^2 -2 \ +\ \frac{8}{x^3 +7x^2-2x-6}[/tex]

x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.

A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

To solve the simultaneous equations:

8x + 3y = 45 ...(1)

2x + 3y = 27 ...(2)

By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:

(8x + 3y) - (2x + 3y) = 45 - 27

6x = 18

x = 3

In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):

8x + 3y = 45

8(3) + 3y = 45

24 + 3y = 45

3y = 45 - 24

3y = 21

y = 7

Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.

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Answer:

-3 ≤ x < 2

Step-by-step explanation:

Answer:

=2 (2/3)-5 (1/4) (putting the values of x and y)

=4/3-5/4

=4-5/4

-1/2

Answer:

1/12

Step-by-step explanation:

2(2/3) = 4/3 and 5(1/4) = 5/4

Answer:

mathw a y

Step-by-step explanation:

use mathw a y to help solve questions like this

Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

c: 2x

Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

So knowing this we can rewrite a as follows

[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]

so we can use the template above and get

[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]

So that simplifies to

[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]

[tex]\frac{(x-1)^{-.5}}{2}[/tex]

[tex]\frac{1}{2\sqrt{x-1} }[/tex]

B: Same kind of deal here

[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]

[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]

[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get

2x

Answer:

x = 18

Step-by-step explanation:

6x + 4x = 180

combine like terms

10x = 180

divide both sides of the equation by 10

10x/10 = 180/10

x = 180/10

x = 18

Answer:

20

Step-by-step explanation: 20 divided by 3 is 6, so if you divided that 120 by 6 you get 20.

Answer:

the slope is -3 and the y intercept is 12

Answer:

I'll help u with #1 then u can do the others hopefully

Step-by-step explanation:

y=mx+b

1. slope=m

slope=1.5 so y=1.5x+b

y-intercept=b

y-intercept=5 (because (0, 5) means x is 0 and y is 5, which is that point)

Answer: y=1.5x+5

Answer:

???

Step-by-step explanation:

Answer:

66 inches

Step-by-step explanation:

v² = 55² + 26² - 2(55)(26) · cos 103°

v² = 3025 + 676 - [2860 · cos 103°]

v² = 3701 - (-643.4)

v² = 4344.4

v = [tex]\sqrt{4344.4}[/tex] ≈ 66

Answer:

Angle ABC = 90°

Step-by-step explanation:

Angle AOC= 180°

so Angle ABC = 0.5 x AOC

or another way to explain is

Rule 1: Angles in semi circle are always 90°

Answer: A.) B

Step-by-step explanation: i hope this helps you out!

Answer:x^2 -1

x square minus one

Step-by-step explanation:

Answer:

sas

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

Answer:

Answer: y=mx+b

Step-by-step explanation:

:) Hope this helps!!

Answer: 6 laps

Step-by-step explanation: 1/4 x 6 = 1 and 1/2

The number of laps Freddie walk around the track is, 4

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

Freddie made the number line  to model the laps he walks around a track at his school,

And each lap is 0.25 miles,

And Freddie walks a total of 1 mile,

So to find the number of laps he walks,

we can divide the total distance by the distance per lap:

Number of laps = 1/0.25  mile/miles per lap

                          = 4 laps

Hence, the number of laps is 4

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Answer:

a = 11

Step-by-step explanation:

Given the equation 2/3a - 7 = 1/3

We are to find the value of a that satisfies the equation

2/3 a = 1/3 + 7

2/3 a = (1+21)/3

2/3 a = 22/3

2a = 22

a = 22/2

a = 11

Hence the value of a that satisfies the equation is 11

Answer:

6.04 inches

Step-by-step explanation:

1 in. = 100 Ft.

604 Ft / 100Ft = 6.04

Answer:

6.04 inches

Step-by-step explanation:

Given expression: 604 ÷ 100

The actual height of the building is 604 feet, and if Corbin wants to scale it down 1:100, then he would divide the height of the building by 100 to get the height in inches of the model.

Answer:

9 years po sana po makatulong

Step-by-step explanation:

sana po makatulong 9 years

Answer:

6.99$

Step-by-step explanation:

Answer:

[tex] {2}^{3} \times \sqrt{2} \\ = {2}^{3} \times {2}^{ \frac{1}{2} } \\ = {2}^{(3 + \frac{1}{2})} \\ = {2}^{ \frac{(6 + 1)}{2} } \\ = {2}^{( \frac{7}{2}) } \\ = \boxed{ {2}^{(3.5)} }✓[/tex]