20. In the above figure, ZAOB = 80°. What does ZACB equal?
A. 10°
B. 160°
C. 80°
O
D. 40°

but there have given the formula of g(x) and f(x) ,put it

9514 1404 393

Answer:

  20 years

Step-by-step explanation:

The interest earned is found using the formula ...

  I = Prt

where principal P is invested at rate r for t years. Solving for t, we find ...

  t = I/(Pr) = $900/($1500×0.03) = 900/45

  t = 20

You must leave the money in the account for 20 years to earn $900 in interest.

Interest for 1 year=12.3℅

Interest for 12months=12.3℅

[tex]\\ \qquad\quad\sf\longmapsto Interest\:for\:one\:Month[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{12.3}{12}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 1.025\℅[/tex]

Answer:

13

Step-by-step explanation:

The midpoint is 1/2 way between points A and B

(A+B)/2 = (0+26)/2 = 26/2 = 13

9514 1404 393

Answer:

  41 km

Step-by-step explanation:

The first car is 32.5 km north after 1/2 hour. The second car is 25 km east after 1/2 hour. The Pythagorean theorem tells you the straight-line distance between them:

  d = √(32.5² +25²) = √1681.25 ≈ 41.00

The cars are about 41 km apart after 1/2 hour.

Answer:

7.   0.37

Decimal value is  - HUNDREDTHS

Fraction value is - [tex]\frac{37}{100}[/tex]

    1.735

Decimal value is  -  TENTHS

Fraction value is - [tex]\frac{1735}{1000}[/tex]

8.   6.075

Decimal value is  - HUNDREDTHS

Fraction value is - [tex]\frac{6075}{1000}[/tex]

      27.05

Decimal value is  - ONES

Fraction value is -  [tex]\frac{2705}{100}[/tex]

9.    0.127

Decimal value is  - THOUSANDTHS

Fraction value is - [tex]\frac{127}{1000}[/tex]

    3.007

Decimal value is  - THOUSANDTHS

Fraction value is - [tex]\frac{3007}{1000}[/tex]

Answer:

90°

Step-by-step explanation:

diagonals of a kite intersect each other at 90°

:)

ANSWER :

third option 90 degrees

Step-by-step explanation:

the opossite adjasent angle is 1 that is 90 so angle 3 is opposite adjacent angle of angle 1

*The opposite adjacent angles will always be same

Answer:

x=-2

Step-by-step explanation:

by adding 8 in both sides, we get

Hence -8 and +8 cancel each other and we get,

I hope it helped U

I hope it helped Ustay safe stay happy

Answer:

All are rational.

Step-by-step explanation:

1)

=1/3/3/5

=1/3×5/3

=5/9

5/9 is non-terminating and recurring number so it is rational.

2)

4/3√9/5

=4/3*3/5

=4/5

4/5 is a terminating number it is rational.

3)

2*√16/√4

=2*4/2

=4

4 is a natural/whole number it is also rational.

Note:if you need to ask any questions please let me know.

Answer: 9.4 ounces.

Step-by-step explanation:

There are 16 ounces in a pound. We are given the going rate of $8/pound which we can convert into $8/16 ounces. This can be simplified by dividing both sides by 8, which gives us the rate of $1/2 ounces. We now apply this ratio to the amount of money we have, 4 dollars and 70 cents. The 4 dollars translates into 8 ounces via the ratio. For the 70 cents, we can again change the ratio to 10 cents / 0.2 ounces (divide both sides by 10 - $1 is equal to 100 cents). This would mean that we could buy 0.2*7 ounces with the 70 cents, which equals 1.4 ounces. We add the 8 ounces from the 4 dollars and the 1.4 from the 70 cents to get 9.4 ounces.

Answer:

A 8.5 pints

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We are given the two functions:

[tex]f(x) = -x^2 \text{ and } g(x) = -(x+4)^2[/tex]

And we want to find:

[tex](f - g)(x)[/tex]

Recall that this is equivalent to:

[tex]= f(x) - g(x)[/tex]

Substitute:

[tex]\displaystyle = (-x^2) - (-(x + 4)^2)[/tex]

Simplify:

[tex]= -x^2 + (x+4)^2[/tex]

Perfect square trinomial:

[tex]= -x^2 + (x^2 + 8x + 16)[/tex]

Combine like terms. Therefore:

[tex]= 8x + 16[/tex]

In conclusion:

[tex](f - g)(x) = 8x + 16[/tex]

Our answer is D.

Answer:

Step-by-step explanation:

f: s*2s = 2s^2

o: s*7 = 7s

i: -5*2s = -10s

L: -5*7 = - 35

Combine

2s^2 - 3s - 35

9514 1404 393

Answer:

  13

Step-by-step explanation:

If we assume that points P, Q, R, S are in that order on a arc centered at O, then we have ...

  ∠POQ +∠QOS = ∠POR +∠ROS

  ∠ROS = ∠POQ +∠QOS -∠POR

  ∠ROS = 28 +46 -61 = 13

We have to find integration of f(x) having upper limit 1.05 and lower limit 1

[tex]\\ \rm\longmapsto \displaystyle{\int^{1.05}_1}x^3dx[/tex]

[tex]\\ \rm\longmapsto \left[\dfrac{3x^{3+1}}{3+1}\right]^{1.05}_1[/tex]

[tex]\\ \rm\longmapsto \left[\dfrac{3x^4}{4}\right]^{1.05}_1[/tex]

[tex]\\ \rm\longmapsto \dfrac{3(1.05)^4-3(1)^4}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{3(1.2)-3(1)}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{3.6-3}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{0.6}{4}[/tex]

[tex]\\ \rm\longmapsto 2.4[/tex]

0.008

1/5 x 1/5 x 1/5

Answer:

113385908

Step-by-step explanation:

use:

Brackets

Indices

Division

Multiplication

Addition

Subtraction

[(66+11)2-6]×766 121

First Brackets

66+11=77

[(77)2-6]×766121

Multiplication:

77×2=154

[154-6]×766121

Subtraction:

154-6=148

Multiplication:

148×766121= 113385908

Answer:

Step-by-step explanation:

2 × (3 – 1) + 3 (First Brackets)

= 2 × 2 + 3 (Second Multiplication )

= 4 + 3 (At last add)

= 7 (Ans)

Answer:

The points that were given are not on the graph of y=3x+2.

Step-by-step explanation:

The slope is 3 and the y-intercept is 2 so on the graph you rise three times from the point (0,0) to (0,3) then you run twice to the right so your first plot would be (2,3). After following the same process the next three plots would be (4,6),(6,9),&(8,12). So those plots that were given are incorrect. Remember y=mx+b

Mx is your slope to rise with and b is your y-intercept to run with.

Rise/run. I just put the important stuff in bold.

Hope this helped you out! Ask any question if you don't understand below and I'll get back to you.

Answer:

https://wb-qb-sg-oss.bytededu.com/mars_api/516070e015af3cbddbf0c9527d422fd6/1624892212752.jpeg!content

Step-by-step explanation:

If the section is created by slicing the equation 2x² + 2xy + 5y² + 6x - 4y = 40 at 45°. Then the conic will be an ellipse.

A figure made up of a surface and a round cone intersecting. A conic section can be a circle, an ellipse, a parabola, or a hyperbola, based on the direction of the plane with regard to the cone.

The angle θ is 45° and the equation is 2x² + 2xy + 5y² + 6x - 4y = 40.

Then x will be

[tex]\rm x = x' \cos \theta - y' \sin \theta\\\\x = x' \cos 45- y' \sin 45\\\\x = \dfrac{x' - y'}{\sqrt2}[/tex]

Then y will be

[tex]\rm y = x' \sin \theta + y' \cos \theta\\\\y= x' \sin 45 + y' \cos 45\\\\y = \dfrac{x' + y'}{\sqrt2}[/tex]

Put these in the equation we have

[tex]\rm 2\left ( \dfrac{x' - y'}{\sqrt2} \right )^2 + 2\left ( \dfrac{x' - y'}{\sqrt2} \right )\left ( \dfrac{x' + y'}{\sqrt2} \right ) + 5 \left ( \dfrac{x' + y'}{\sqrt2} \right )^2+ 6\left ( \dfrac{x' - y'}{\sqrt2} \right ) - 4\left ( \dfrac{x' + y'}{\sqrt2} \right ) = 40[/tex]

On simplifying, we have

[tex]\rm 9x'^2 + 6x'y' + 5y'^2 + 10\sqrt2x' - 10 \sqrt2 y' - 80=0[/tex]

Then the value of a, b, and c will be

a = 2, b = 2, and c = 5

Then we have

[tex]\rm b^2 - 4ac = 2^2 - 4\times 2 \times 5 = 4 - 20 = -16[/tex]

Then b² - 4ac < 0, then the conic is ellipse.

More about the conic section link is given below.

https://brainly.com/question/10311514

#SPJ2

Answer:

if you scored a 83 on every test in a class your standard deviation would be 0. The point is that the bigger the standard deviation the more "variation" you will find in the raw numbers.... "D" (international equities) is the answer to this question...

it has the highest percent for the standard deviation, this it is the

MOST IN-COSISTENT

Step-by-step explanation:

Answer:

No. Only positive whole integers are considered natural numbers

Answer:

.7

Step-by-step explanation:

On a number line the further you go to the right the higher the number. Thus .7 is larger than .5.

HOPE THIS HELPED

Answer:

.5

Step-by-step explanation:

the bigger the number the smaller the number

the answer is 5

Answer:

x = 28

Step-by-step explanation:

Equation:-

1/2(x) = 14

Multiplying by 2 on both sides,

=> x = 28