Find the area of the shaded shape. Write the area in square units

Step-by-step explanation:

1 log 5² - 2 log 2⁵ - 2log3 + log 18 10

= 2log 5 - 10log2 - 2log3 + log 18 10

Answer:

5,10

Step-by-step explanation:

this is the answer

Answer:

1/3

Step-by-step explanation:

Multiply left to right, so you start with -1/6*4/7=-2/21

Then you apply the fraction rule so -1/6*4

and 4 can be expressed by 4/1 so -1/6*4/1=-2/3

Then after solving you will get -4/6

then you factor 4=2*2 what will be -2*2/6

Then you cancel the common factors what are 2

so you bring back the 7 so -2/3/7 and 7 can be expressed as 7/1 and then you apply the fraction rule and flip it to 1/7 what will be solved as -2/21

so then it will be -2/21+1/2-1/14-3/7*1/6

Then you will have to solve -3/7*1/6 what is 1/14

so -2/21+1/2-1/14=1/3 final equation

Answer:

Step-by-step explanation:

Answer:

0.5n

Step-by-step explanation:

n/2 is equal to n * 1/2. 1/2 is equal to 0.5, so n * 1/2 = n * 0.5 = 0.5n.

Answer:

<1= 68 degree

<2= 112 degree

<3= 68 degree

<4= 112 degree

<5= 68 degree

<6= 112 degree

<7= 68 degree

<8= 112 degree

Step-by-step explanation:

steps in the image-

Answer:

13 inches

Step-by-step explanation:

Answer:

The base must be 13 inches

Step-by-step explanation:

Step 1:  Determine the length of the base

[tex]A = 1/2 * b * h[/tex]

[tex]117\ in^2 = 1/2 * b * 18\ in[/tex]

[tex]117\ in^2 = 9\ in * b[/tex]

[tex]\frac{117\ in^2}{9\ in} = \frac{9\ in * b}{9\ in}[/tex]

[tex]13\ in = b[/tex]

Answer:  The base must be 13 inches

Answer:

y = 9x

Step-by-step explanation:

We can make the x-values represent how many hours Jessica babysat, and the y-values represent how much money she earned each day.

We have these points:

The days of the week she worked do not matter in this problem. We are just trying to find the association between hours worked and money earned.

We can start by finding the slope of the line by using two of the points. I will be using (3, 27) and (6, 54).

The slope formula is [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex].

Substitute these two points into the formula:

The slope of the line is m = 9.

Now, we can use the point-slope equation to find the equation of the line that represents Jessica's earnings.

Point-slope equation: [tex]y-y_1=m(x-x_1)[/tex].

Substitute the slope m = 9 and the point (3, 27) into the equation.

The equation y = 9x  represents Jessica's earnings, where x represents hours and y represents earnings.

Answer:

The answer is B.

[tex]t=+\sqrt{\frac{d-3}{a} } , -\sqrt{\frac{d-3}{a}[/tex]

Step-by-step explanation:

[tex]d=3+at^2\\\\d-3=at^2\\\\\frac{d-3}{a}=t^2\\\\ t=+\sqrt{\frac{d-3}{a} } , -\sqrt{\frac{d-3}{a} }[/tex]

Answer: 1 1/20

Step-by-step explanation:

1/2 / 5/8 + 1/4

=8/10 +1/4

=21/20

=1 1/20

Step-by-step explanation:

z = 0 -7i ....................

Based on the annual income, the payment period, and the amount deducted for the 403(b), the amount deposited into Sandy's 403(b) is $220.

First find the biweekly income:

= 51,350 / (52 weeks / 2 )

= 51,350 / 21 weeks

= $2,445.24

5% is deducted from her wages and the employer matches 4% of the salary. The amount deposited is:

= (5% + 4%) x 2,445.24

= $220

Find out more on 403(b) at https://brainly.com/question/2908111.

27

using bodmas rule:

[tex]\sf b - bracket, o - order, d - division, m - multiplication, a - addtion, s - subtraction[/tex]

=================

Solve:

11 x 12 - 7 x 15        (carry out multiplication first)

132 - 105                (subtract)

27                           (final answer)

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{11}{12}-\dfrac{7}{15}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11(5)-7(4)}{60}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{55-28}{60}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{27}{60}[/tex]

Answer:

120 degrees

Step-by-step explanation:

30 * 4 = 120

Answer:

Step-by-step explanation:

30 + 30 + 30 + 30 = 30 x 4 = 120 degrees

Derivative are used to determine the nature of a function. The derivative of the function f(x) = 4x^2 is 8x

The formula for finding the derivative of a function is expressed as:

f'(x) = nax^n-1

Given the function expressed as:

f(x) = 4x^2

We are to find its derivative as shown:

f'(x) = 2(4)x^2-1
f'(x) = 8x^1 = 8x

Hence the derivative of the function f(x) = 4x^2 is 8x

Learn more on derivative here: https://brainly.com/question/416343

Answer:

140000

Step-by-step explanation:

Hewo Yuri-san here Allow me to help! :3

Answer:

-140,000

Step-by-step explanation:

Here's a trick I learned in 5th grade.

You see all the zero's behind the number 10,000 just add them onto the back of the number you're mutliplying with and it gives you the answer.

In this case, we have the number 10,000 with 4 zero's and we're going to add that to the back of 14 which gives us the answer 140,000  And they both have 4 zero's. :)

Therefore, the answer is 140,000

Hope this Helps!

Have a great day!

-Yuri-san

Answer:

65

Step-by-step explanation:

t = 10

e = 11

10 + (11*5)

65

Answer:

y = 40, x = 9

Step-by-step explanation:

2(3y)+2(2y-20)=360

y = 40

2x=18

x = 9

Answer:

540 cubic inches.

Step-by-step explanation:

Answer:

y = 4x + 5

Step-by-step explanation:

Use point-slope formula to plug in the known point and slope.

Answer:

57064

Step-by-step explanation:

Answer:

20 burgers

Step-by-step explanation:

4/6×30 = 2/3 ×30 = 60/3 = 20

Answer:

Series Circuit

Step-by-step explanation:

In a series circuit, the total resistance is equal to the sum of all resistances.  Hope this helps u out!

Answer:

a

Step-by-step explanation:

pounds because all will measure with it only even shop keepers........................................

The amount of money Ben had to begin with after spending 1/6 and 1/2 of it is 57 dollars.

let

x = amount he had to begin with

He  spent 1/6 of his money on a burger, fries, and a drink. Therefore,

amount spent on burger, fries, and a drink = 1  / 6 x

Hence,

amount he had left = x - 1 / 6 x =6x - x /6 = 5 / 6 x

Then he spent half of the money he had left.

1  / 2(5  /6 x) = 5 + 8.25 + 10.50

5 / 12 x = 23.75

cross multiply

5x = 23.75 × 12

5x = 285

divide both sides by 5

x = 285 / 5

x = 57

Therefore, the amount of money he have to begin with is $57.

learn more on equation here: https://brainly.com/question/5718696

Answer:

$57

Step-by-step explanation:

10.50 - 7.50 = 3

3 x 19 =57

$57

The table shows a data for an antenna that revolves at exactly twice the rate of the antenna described in the graph is Table D.

The formula to calculate the rate will be:

= Change in revolution/Change in time

The rate of the given antenna will be:

= (60 - 30)/(4 - 2)

= 30/2

= 15

Also, the rate of antenna 1 is 23, antenna 2 is 25, antenna 3 is 2. The rate for antenna 4 will be:

= (720 - 660)/(24 - 22)

= 60/2

= 30

It can be seen that 30 is double of 15.

Therefore, table D revolves at exactly twice the rate of the antenna.

Learn more about rate on:

https://brainly.com/question/2375289

Answer:

Hi there!

As we know that the sum of all three angles of a triangle is 180°.

If ∆ABC is right angled at C

C = 90°

=> [tex]\:\mathsf\red{∠A\: +\:∠B\: +\: ∠C\:=\:180°}[/tex]

=> [tex]\:\sf{∠A\: +\:∠B\: +\: 90°\:=\:180°}[/tex]

=> [tex]\:\sf{∠A\: +\:∠B\: =\:180°\:-\:90°}[/tex]

=> [tex]\:\sf{∠A\: +\:∠B\: =\:90°}[/tex]

Multiplying cos both sides. We get,

=> [tex]\:\sf{cos\:(∠A\: +\:∠B)\: =\:cos\:90°}[/tex]

We know cos 90° = 0, by trigonometric ratio.

=> [tex]\:\sf{cos\:90°\:=\:0}[/tex]

So,

[tex]\:\mathsf{cos(∠A\: +\:∠B)=\:cos\:90°\:=\:0}[/tex]

=> [tex]\:\sf\purple{cos\:(∠A\:+\:∠B)\:=\:0}[/tex]

[tex]\:\mathsf\blue{Hope\:this\:helps\:you!\:}[/tex]