Simplify the exponential expression.

Answer:

here

Step-by-step explanation:

Answer:

Draw two parallel chords AB and CD of lengths 5 cm and 11 cm. Let the center of the circle be O. Join one end of each chord to the center.

Draw two perpendiculars OM and ON to AB and CD, respectively, which bisects the chords.

Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its center. If the distance between AB and CD is 6 cm, find the radius of the circle.

Thus, MB = 2.5 cm and ND = 5.5 cm [The perpendicular drawn from the center of the circle to the chords bisects it.]

Let OM = x and ON = 6 - x

Consider ΔOMB

By Pythagoras theorem,

OM2 + MB2 = OB2

x2 + 2.52 = OB2

x2 + 6.25 = OB2..................(1)

Consider ΔOND

By Pythagoras theorem,

ON2 + ND2 = OD2

(6 - x)² + 5.52 = OD2

36 + x2 - 12x + 30.25 = OD2

x2 - 12x + 66.25 = OD2............... (2)

OB and OD are the radii of the circle. Therefore OB = OD.

Thus, OB2 = OD2

Equating (1) and (2) we get,

x2 + 6.25 = x2 - 12x + 66.25

12x = 60

x = 5

Substituting the value of x in (1),

OB2 = x2 + 6.25

OB2 = 52 + 6.25

OB2 = 31.25

OB = 5.59 (approx.)

Thus, we get the radius of the circle = 5.59 cm.

The value of z using the information and the formula provided in the question is -5.292.

Subsituting for the missing values in the formula, the formula becomes: [tex]\frac{130 - 135}{\frac{5}{\sqrt{28} } }[/tex]

Solving for the numerator, the number becomes -5. Solving for the denominator, the number becomes 0.94491

z = -5/0.94491

z = -5.292

To learn more about mathematical equations, please check: https://brainly.com/question/26427570

Answer:

95 is the answer I took the test

Answer:

Step-by-step explanation:

the answer is 66. To find the third angle subtract 80 and 34 by 180.

Answer:

sin(3pi/4)

Step-by-step explanation:

I got it right on edg

Answer:

The answer is letter c

Step-by-step explanation:

1/5, 13/50, 0.28, 0.41, 22%

Step-by-step explanation:

hopes this helps

Answer:

one sixteenth

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Answer:

$1.76

Step-by-step explanation:

$1.10+$1.10 = $2.2

$3.96 - $2.2 = $1.76

Answer:

its A my friend because: 48/2=24. 72/2=36

24/2=12. 36/2=18

12/2=6. 18/2=9

Answer:

Down:

Step-by-step explanation:

Terms in this set (23) The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation; for the ith observation the ith residual is yi − ŷi. The analysis of variance table used to summarize the computations associated with the F test for significance.

Answer:  3

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

Answer:

Slope = 3

Step-by-step explanation:

The question is asking us to find the slope of the line that is perpendicular to the line whose slope is -1/3.

Main idea: Perpendicular lines have slopes that are opposite reciprocals.

So our task boils down to finding the opposite reciprocal of -1/3.

First, we change the sign from negative to positive. We get 1/3.

Then, we turn the number over. We get 3.

Therefore, the slope is 3.

Answer:

2 lb and 4oz

Step-by-step explanation:

because if you do 9lb 2oz minus 6lb 8oz you get 2 lb 4oz

Answer:

Remember length times width times height when finding volume.

In non-terms of pi, the answer would be [tex]2[/tex] [tex]ft^2[/tex]

Answer:

Volume is 2ft

Step-by-step explanation:

Multiply the length x width once you find the answer for lengthxwidth.

Multiply the answer you got by height

[tex]Elsa:y_1=70x+180[/tex]

[tex]brian,y_2=100x[/tex]

[tex]Rnown\ by\ the\ topic,[/tex]

[tex]Assuming\ that\ the\ Elsa\ amount\ of\ money\ is\ y_1,[/tex]

[tex]Brian's\ amount\ of\ money\ is\ y_2[/tex]

[tex]so,y_1=70x+180[/tex]

[tex]\{put\ in\ \$70\ per\ month,\ storting\ amount\ of[/tex]

[tex]y_2=100x[/tex]

[tex]\{\ put\ in\ \&\ 100\ per\ month,\ no\ starting\ emount[/tex]

[tex]\{\$70,\ \$100\ are\ monthly\ voriation,[/tex]

[tex]\$180\ is\ fixed\ value?[/tex]

I hope this helps you

:)

Answer:

  49 = 7²

Step-by-step explanation:

A logarithm is an exponent. The base of the logarithm is the base of the exponent. The base to that exponent is the argument of the log function.

__

The logarithm (exponent) is 2. The base is 7. The argument of the log function is 49. In exponential form, this is written ...

  7² = 49

Answer:

All are not mutually exclusive events

Answer:

64ft^3 (The ^3 is meant to be cubed) 64 feet cubed.

Step-by-step explanation:

The picture has already split the two shapes.

*Remember Volume Formula: LWH or Length times Width times Height.*

The first shape is 4ft x 2ft x 2ft

The second shape is a little bit of a fuss but it's alright.

*Talking about the length of Shape no.2*

Since the second shape is longer than the first one (by length). You need to double it meaning: 4x2 or 4+4 = 8ft

The second shape is 8ft x 2ft x 3ft

First shape should have a volume of 16ft

Second shape should have a volume of 48ft

Now, you need to add the two volumes:

48ft + 16ft = 64ft cubed

Answer:

The answer is (-4) and (-7).

Step-by-step explanation:

Now, for common difference (d)

d = a₂ – a₁ = 2 – 5 = -3

d = a₃ – a₂ = (-1) – 2 = -3

Here, common difference is same everywhere.

So, for fourth term or n = 4

aₙ = a + (n – 1) × d

a₄ = 5 + (4 – 1) × (-3)

a₄ = 5 + 3 × (-3)

a₄ = 5 – 9

a₄ = -4

Then, for fifth term or n = 5

a₅ = 5 + (5 – 1) × (-3)

a₅ = 5 + 4 × (-3)

a₅ = 5 – 12

a₅ = -7

Thus, The fourth term is (-4) and fifth term is (-7).

[tex]\qquad \textit{power of two complex numbers} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ z=3[\cos(30^o)+i\sin(30^o)] \\\\\\ z^3=3^3[\cos(3[30^o])+i\sin(3[30^o])]\implies z^3=27[\cos(90^o)+i\sin(90^o)] \\\\\\ z^3=27(0~~ + ~~i1)\implies z^3=0+27i[/tex]

so that gives us the point (0 , 27) on the imaginary plane, and we also know the line goes through the origin, since it'd be a line in component form, and to get the equation of a line we only need two points off of it, let's use those two.

[tex]\stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{27}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{27}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{0}}}\implies \cfrac{27}{0}\implies und efined[/tex]

a line with an undefined slope is a vertical line, namely in this case x = 27.

Answer:

A

Step-by-step explanation:

I took the test it was right

Answer:

-20x^4y + 40x^3y^2.

Step-by-step explanation:

-5x^3y(4x-8y)

= -5x^3y * 4x + -5x^3y * -8y

= -20x^4y + 40x^3y^2

The answer is no, because the Rank Theorem tells us that rank A + dim Nul A = 12 . Since the rank can be at most 10, the null space has to have dimension at least two.

Answer:

5x-9

Step-by-step explanation:

Add 2x and 3x since they're like terms

5x-9

Answer:

  D.

Step-by-step explanation:

As is often the case with multiple choice questions, you only need to find part of a correct answer to be able to make the right choice.

The number line picture shows the left-most point has a value less than -1. That means the numerator of its negative fraction will be greater than the denominator. The only fraction like that on the list is -4/3, and the only answer choice with that listed first is choice D.

  D.  -4/3, -4/5, -2/3, 7/10, 7/8

D. -4/3, -4/5, -2/3, 7/10, 7/8

Step-by-step explanation:

# Brainliest Bunch

Answer:

3/13

Step-by-step explanation:

P(Choosing a Face card) =

12/52= 3/13

pls mark as brainliest