A rectangle has an area of 40 square units. The length is 6 units greater than the width. What are the dimensions of the rectangle?

Answer:

[tex] F(4) = \frac {1}{256} [/tex]

Step-by-step explanation:

Given the following mathematical function;

[tex] F(x) = \frac {1}{4^{x}} [/tex]

When x = 1

[tex] F(1) = \frac {1}{4^{1}} [/tex]

[tex] F(1) = \frac {1}{4} [/tex]

When x = 2

[tex] F(2) = \frac {1}{4^{2}} [/tex]

[tex] F(2) = \frac {1}{4*4} [/tex]

[tex] F(2) = \frac {1}{16} [/tex]

When x = 3

[tex] F(3) = \frac {1}{4^{3}} [/tex]

[tex] F(3) = \frac {1}{4*4*4} [/tex]

[tex] F(3) = \frac {1}{4*4*4} [/tex]

When x = 4

[tex] F(4) = \frac {1}{4^{4}} [/tex]

[tex] F(4) = \frac {1}{4*4*4*4} [/tex]

[tex] F(4) = \frac {1}{256} [/tex]

When x = 5

[tex] F(5) = \frac {1}{4^{5}} [/tex]

[tex] F(5) = \frac {1}{4*4*4*4*4} [/tex]

[tex] F(5) = \frac {1}{1024} [/tex]

Step-by-step explanation:

YAY!!!!!!!!!!!!!!!!!!!

Answer and Step-by-step explanation:

All triangles have a sum of their angles to be 180 degrees. So, to find x, we need to subtract the two given sides from 180 degrees.

180 - 38 - 83 = 59

x = 59 degrees.

#teamtrees #PAW (Plant And Water)

Using the tangent ratio below:

[tex] \large \boxed{tan A = \frac{opposite}{adjacent} }[/tex]

Therefore, the tangent ratio for a right triangle is:

[tex] \large{tanA = \frac{8}{12} }[/tex]

For this part, use the arctan to find the measure of A.

[tex] \large{arctan( \frac{8}{12} ) = A} \\ \large{arctan( \frac{8}{12} ) = 33.69 \degree}[/tex]

Therefore measure of A is 33.69, round to the nearest tenth as we get 33.7 degrees.

Answer

Furthermore, the question mentions the nearest tenth, that means the b and e choice should be cleared out.

Let me know if you have any doubts regarding the trigonometric ratio.

Answer: [tex]17.67[/tex]

Step-by-step explanation:

Given

Sample  of 12 measurements has a mean of 16.5 and

a sample of 15 measurements has a mean of 18.6

Take [tex]\bar{x_1},n_1[/tex] be the mean and no of measurements

and [tex]\bar{x_2},n_2[/tex] be the mean and no of measurements in second case

[tex]\therefore \bar{x_1}=\dfrac{\sum a_1}{n_1}\\\\\Rightarrow \sum a_1=\bar{x_1}\times n_1\\\\\Rightarrow \sum a_1=198\quad \ldots(1)[/tex]

Similarly,

[tex]\therefore \bar{x_2}=\dfrac{\sum a_2}{n_2}\\\\\Rightarrow \sum a_2=\bar{x_2}\times n_2\\\\\Rightarrow \sum a_2=279\quad \ldots(2)[/tex]

Mean of 27 measurements

[tex]\Rightarrow \bar{x_3}=\dfrac{\sum a_1+\sum a_2}{n_1+n_2}\\\\\Rightarrow \bar{x_3}=\dfrac{198+279}{12+15}\\\\\Rightarrow \bar{x_3}=\dfrac{477}{27}\\\\\Rightarrow \bar{x_3}=17.67[/tex]

Answer:

i think the c answer is 5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The number [tex]a . 10^{-2}[/tex] is 8 times greater than [tex]b . 10^{-3}[/tex]

thus, [tex]a . 10^{-2} = 8b. 10^{-3}[/tex]

multiply both sides by [tex]10^{2}[/tex]

we get [tex]a = 8b. 10^{-1} \\a = 0.8 b[/tex]

if we take a = 2.5 and b = 3.1 we get 2.5/3.1 = 0.8

then B is the answer

Answer:

y = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

31 - 8(y + 5) = 7

Step 2: Solve for y

Answer:

The answer is $38115

Step-by-step explanation:

Because I have the smarts

Answer:

-7

Step-by-step explanation:

-12x = 84

/-12     /-12

   x = -7

Answer:

The other integer is - 7.

Step-by-step explanation:

Let the 2 integers be x and y

Given:

  one of the integer is -12, Let x = - 12

  Product of two integers is 84,

that is,

       x × y = 84

     - 12 × y = 84                        [ given one of the integer is -12 ]

       [tex]\frac{-12 \times y }{-12} = \frac{84 }{-12}[/tex]                      [ divide both sides by -12 ]

        [tex]y = - 7[/tex]

Answer:

Franklin sold 5x bars.

Step-by-step explanation:

Franklin Sells 5x bars. I assume the question is asking for an expression with the usage of X instead of an actual value or when that is attainable. If there's any more information that you can provide, let me know and I'll redo the problem.

Answer:

10,000 drops would be 1 fluid ounce

Step-by-step explanation:

Answer:

f(x) = -3x

Step-by-step explanation:

f(x) = -3x

Answer:

a) $50 b) $40

Step-by-step explanation:

Kylo started with $70 and spent $20. This can be written as 70-20, which equals $50.

At the end, Quartez had double what Kylo had. This can be written as 2×50, which is $100. He started with $60, so his mother gave him 100-60 or $40.

**This content involves solving simple worded questions, which you may wish to revise. I'm always happy to help!

Kylo had in end

Now

let Quartz received x

Answer:

Step-by-step explanation:

Straight line is an angle whose vertex point(O) has a value of 180. The arms (OA & OB) of the straight line angle lies opposite to each other from the vertex point

Sum of all the angles in a straight line  = 180

From this you can find the value of unknown angle, if other angles are given.

∠AOC + ∠BOC = 180

Answer:

Answer:

x + y =180 (degrees)

Answer:

The two column proof is presented as follows;

Step [tex]{}[/tex]     Statement               Reason

1 [tex]{}[/tex]            [tex]\overline {AC}[/tex] ≅ [tex]\overline {BD}[/tex]                Given

[tex]{}[/tex]              ∠CAB ≅ ∠DBA  

2  [tex]{}[/tex]          [tex]\overline {AB}[/tex] ≅ [tex]\overline {AB}[/tex]                Reflexive property

3 [tex]{}[/tex]          ΔABC ≅ ΔBAD        SAS rule of congruency

Step-by-step explanation:

Given that we have;

Segment [tex]\overline {AC}[/tex] of ΔABC being congruent to (≅) segment  [tex]\overline {BD}[/tex] on ΔBAD and angle ∠CAB on ΔABC is congruent to angle ∠DBA on ΔBAD, and also that the two triangles share a common side, which is segment [tex]\overline {AB}[/tex], we have;

Segment [tex]\overline {AB}[/tex] is congruent to itself by reflexive property, therefore;

Two sides and an included angle on ΔABC are congruent to the corresponding two sides and an included angle on ΔBAD, which by Side-Angle-Side, SAS, rule of congruency, ΔABC is congruent to ΔBAD

Answer:

55°

Step-by-step explanation:

Thus from the atrachment, the angle PGR is 180°-35°-90°

= 55°

Answer:

b

Step-by-step explanation:

We want to get the graph for the given system of linear inequalities. The graph can be seen at the end of the answer.

First, we have the system:

y > (2/3)*x + 3

y ≤ -(1/3)*x + 2

Let's analyze each one individually.

In the first one, you can see that y is larger than the line, so we need to shade the region above the line, and the line must be a dashed line, meaning that the points on the line are not solutions.

In the second one, y is smaller than or equal to the line, so we need to shade the region below the line, and this time the line must be a solid line because the points on the line are solutions.

The graph of the system of inequalities can be seen below.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/11234618

Answer: $4.88

Explanation: $20.00-$5.36= $14.64

$14.64÷3= $4.88

Answer:

Step-by-step explanation:

[tex]\frac{1.107}{123} \times \frac{1.998}{333} = [/tex]

[tex] = > 9 \times 6[/tex]

[tex] = 45[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{1.107}{123}*\frac{1.998}{333}= 0.009 * 0.006 = 0.000054[/tex]

1107÷ 123 = 9

The dividend has 3 decimal places. So, take 3 decimal places from the right towards left in the result  0.009

1.107 ÷ 123 = 0.0009

0.009 * 0.006

First multiply 9 * 6 = 54

Now, count the number of decimal place in the multiplicands. 0.009 has 3 decimal places and 0.006 has 3 decimal places. So totally, 3+ 3 = 6 decimal places in the result

0.009 * 0.006 = 0.000054

Answer: 0.99

Step-by-step explanation: sin 90 Divided by 85 = sin x divided by 13

                                                   sin x =13x sin 90 divided by 85

                                                        sin x = 13divided by 85

                                                            sin x = .152941176

                                                arc sine of  .152941176=  8.79741071 degrees

                                        cos 8.79741071 = .988235294

                                                            .99

Answer:

Step-by-step explanation:

1.5 (x+4)-3=4.5(x-2)=

1.5x+6-3=4.5x-9=

1.5x+3=4.5x-9=

1.5x-4.5x=-3-9=

-3x=-12

x=4

Answer:

x=4

Step-by-step explanation:

1.5(x+4)-3=4.5(x-2)

-Use distributiive prop. to simplify

1.5x+6-3=4.5x-9

-Simplify 6-3

1.5x+3=4.5x-9

-Subtract 1.5x from both sides

3=3x-9

-Isolate the x's by subtracting 9 from both sides

12=3x

-divide by 3

4=x

:) ur welcome

Answer:

76

Step-by-step explanation:

decagon = 10 sides

3 heptagons = 3 × 7 = 21 sides

3 nonagons = 3 * 9 = 27 sides

3 hexagons = 3 * 6 = 18 sides

10 + 21 + 27 + 18 = 76 sides in total

hope this helps please like and mark as brainliest

Answer:

[tex]x =23^o[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

To solve for x, we make use of:

[tex]5x + 65= 180[/tex] --- angle on a straight line

[tex]5x = 180-65[/tex]

[tex]5x = 115[/tex]

Solve for x

[tex]x = 115/5[/tex]

[tex]x =23^o[/tex]

Answer:

D

Step-by-step explanation:

We know that Y represents Sofia's age

Diego is 8 years older than 3 times Sofia's age

means to get Diego's age we have to multiply Sofia's age by 3 and add 8

Answer:

A dependent variable is a factor that changes because of procedures conducted on the independent variable

Step-by-step explanation:

Using a cause and effect analogy, the independent variable is the causal variable. The independent variable or variables are the variables on which what is being measured, has no effect, and it is the variable the investigator manipulates to find the effect on the dependent variable.

The dependent variable are the variables that shows he effect of the changes made and manipulations to the independent variable. The dependent variable is therefore, the effect variable

Therefore, the correct option is ' A dependent variable is a factor that changes because of procedures conducted on the independent variable'

Answer:

Step-by-step explanation:

a:0

B:1

C:-1