Given g(x)=3x+5g(x)=3x+5, find g(-6)g(−6).

Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544

so

Total balance=S.I.+P=$544+$850=$1394.

option b.$1,394.00 is your answer

Answer:

10√6 ; √5/6 ; 42√14

Step-by-step explanation:

1)  - factorise 240

240/ 2 = 120

120/2 = 60

60/2 = 30

30/2 = 15

15/3 = 5

5/5 = 1

240 = 2^4 * 3 * 5

- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex]  by dividing the index of the radius and the exponent by 2

[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]

- factorise 12

12/2 =.6

6/2 = 3

3/3 = 1

12 = 2^2 * 3

- simplify [tex]\sqrt{2^2 *3}[/tex]

[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]

- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]

number : number = 4/2 = 2

square : square = √15 / √3 = √5

[tex]2\sqrt{5}[/tex]

- multiply √30 with 2√5

number x number = 2x1 = 2

square x square = √30 x √5 = √150

2√150

- factorize 150

150/ 2 = 75

75/3 = 25

25/5 = 5

5/5 = 1

150 = 5^2 x 2 x 3

- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]

[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]

- multiply 2 and 5

10√6

2)  remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]

- rewrite the expression in this way

[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]

- solve the squares of the denominators

√5/3 + √5/12 -√5/4

- rewrite the fraction with the same denominator = 12

(4√5 + √5 - 3√5)/12

- simplify the numerators by sum the numbers

2√5/12

- divide 2 and 12

√5/6

3)

- multiply 3√2 and √14

number x number = 3 x 1 = 3

square x square = √2 x √14  = √28

3√28

- factorise 28

28 = 2^2 x 7

- simplify [tex]\sqrt{2^2 *7}[/tex]

[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]

- multiply 3 and 2

6√7

- factorise 98

98/2 = 49

49/7 = 7

7/7 = 1

98 = 7^2 * 2

- simplify [tex]\sqrt{7^2 * 2}[/tex]

[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]

- multiply 6√7 and 7√2

number x number = 42

square x square = √14

42√14

Answer: 1st one is geometric I think not fully sure but the second is 3 times

Step-by-step explanation: I was doing it

Answer:

geometric, 3 times

Step-by-step explanation:

imagine math

Answer:

(1/7)^(-1)<(1/7)^(-2)

7(-1)<(1/7)^(-1)

7^-2<7^-1

Step-by-step explanation:

U can look at the negative exponent that negative sign as the divide sign over 1

7^(-1)means 1/7

7^(-2) means 1/7^(2)=1/49

(1/7)^(-1)=7

(1/7)^(-2)=49

Answer:

Hello! Answer: 496

Step-by-step explanation:

When finding area for triangles we have to do base x height then divide by 2 so

62 x 16 = 992

992 ÷ 2 = 496

So 496 is our answer!

Answer:

A - 496

Step-by-step explanation:

formula for area of a triangle

[tex]a = \frac{bh}{2} [/tex]

where b = base length and h = height

The triangle shown has a base length of 62 ft and a height of 16 ft

That being said we plug in the given values into the formula

[tex]a = \frac{62 \times 16}{2} \\ 62 \times 16 = 992 \\ \frac{992}{2} = 496[/tex]

Hence the area of the triangle is 496 square feet

Answer:

A, B, and D

Step-by-step explanation:

Answer:

Los ángulos son de 36, 47 y 97 grados y la altura es de 35 cm.

Step-by-step explanation:

Usando la regla del coseno podemos encontrar las medidas de los ángulos del triángulo escaleno

Cos A = b² + c²-a² / 2bc ------ ecuación A

Cos B = a² + c²-b² / 2ac ------- ecuación B

y Cos C = b² + a²-c² / 2ab ------ ecuación C

Si tomamos a = 29, b = 35 y c = 48

Luego, poniendo los valores

Cos A = b² + c²-a² / 2bc

Cos A = (35) ² + (48) ² - (29) ² / 2 (35) (48)

Cos A = 1225 + 2304-841 / 3360

Cos A = 0,8

A = cos ⁻¹ 0.8 = 36.86 grados casi 37 grados.

similar

Cos B = a² + c²-b² / 2ac

Cos B = (29) ² + (48) ²- (35) ² / 2 (29) (48)

Cos B = 1920/2784

B = cos ⁻¹ 0.689 = 46.39 grados casi 46 grados

Y

Cos C = b² + a²-c² / 2ab

Porque C = 1225 + 841-2304 / 2 * 29 * 35

Cos C = -0,11724

C = cos ⁻¹ -0,11724

C = 96,73 = 97 grados

la altura se puede calcular usando la fórmula

h = b. sin C = c. Pecado B

h = 35 sin 97 °

h = 34,75 = 35 cm

English

Using the cosine rule we can find the measures of the angles of the scalene triangle

Cos A= b²+c²-a²/ 2bc------ equation A

Cos B = a²+c²-b²/ 2ac------- equation B

and Cos C= b²+a²-c²/ 2ab------ equation C

If we take a= 29 , b= 35 and c= 48

Then by putting the values

Cos A= b²+c²-a²/ 2bc

Cos A= (35)² + (48)² - (29)²/ 2(35) (48)

Cos A= 1225+2304-841/ 3360

Cos A= 0.8

A = cos ⁻¹ 0.8= 36.86 degrees almost 37 degrees.

Similarly

Cos B = a²+c²-b²/ 2ac

Cos B = (29)²+(48)²-(35)²/ 2(29) (48)

Cos B=  1920/2784

B=cos ⁻¹ 0.689= 46.39 degrees almost 46 degrees

And

Cos C= b²+a²-c²/ 2ab

Cos C= 1225+841-2304/2*29*35

Cos C= -0.11724

C= cos ⁻¹ -0.11724

C= 96.73= 97 degrees

the height can be calculated using the formula

h= b. sin C= c. Sin B

h= 35 sin 97°

h= 34.75= 35 cm

The angles are 36, 47 and 97 degrees and height is 35 cm

Answer:

I believe that the slant height is 15.3 because of pythagorean theorem.

This means that the surface area is 740.2

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

2 i think

Step-by-step explanation:

if a/b is 2 then it means a/b is equivalent to  2/1 so the value of a would be 2 and the value of b would be 1 so then for 4b/a we would plug in the values giving us 4(1)/2 which gives us a final answer of 2

Answer:

2

Step-by-step explanation:

We can assume a = 2 and b = 1 since that is the smallest values that will equal 2.

add these values into the equation

4(1)/2

4/2

2

Explanatio⁣n i⁣s i⁣n a fil⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

Add a+b+c=p for the triangle.

24+26+10=60, Then add this to the semi-circles perimeter.

p=r(pi+2)

r=d/2

p=13(3.14+2)

p=13(5.14)

p=66.82

Add 66.82+60

66.82+60=126.82

Answer: 126.82

Answer:

I think its B

Step-by-step explanation:

Answer:

35 Car Washes  

Step-by-step explanation:

Data:-

Sale Charges per wash = $6/-

Cost per wash = $2/-

Base cost = $80/-

Required Profit = $60/-

Required:-

No of Cash Washes to reach the required profit = ?

Solution:-

Sales - VC = Contribution Margin

$6 - $2 = $4 per unit

Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit

= $80 + $60 / $4

= 35 Units  

Answer:

The answer is b.Look below for details.

Step-by-step explanation:

Question no 1. The sequence has the common difference of 14.

t1=7

t2=21

t3=35

We have

tn=a+(n-1)d

=7+(n-1)14

=7+14n-14

=14n-7(Its not our answer)

Lets try b.

The common difference is 2 in this sequence.

t1=7

t2=9

t3=11

t4=13

We have

tn=7+(n-1)2

=7+2n-2

=2n+5(Its is our answer.) Got it.

Answer:

D, Impossible

Step-by-step explanation:

Answer:impossible

Step-by-step explanation:

there aren’t any green folders

Answer:

No

Step-by-step explanation:

Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.

"A triangle is valid if sum of its two sides is greater than the third side."

Answer:

Radius is 50 cm.

Step-by-step explanation:

Answer:

1/4 is the answer

Step-by-step explanation:

First, we see that the total students is 20 & the students who got 6 or 7 is 5.

5/20 = 1/4

1/4 = 25%

Answer:

its b i think dont trust though

Step-by-step explanation:

Answer:

3rd one!

Step-by-step explanation:

I think it’s B but I am not sure sorry dude

Answer: A notebook cost $2.25

A pen cost $3.50

Step-by-step explanation:

Let the price of notebook be n

Let the price of pens be p.

Cameron buys 4 notebooks and 2 packages of pens for $16. This will be:

4n + 2p = 16 ..... equation i

Olivia buys 5 notebooks and 1 package of pens for $14.75. This will be:

5n + p = 14.75 ..... equation ii

Combining both equations will give us:

4n + 2p = 16 ..... i

5n + p = 14.75 ...... ii

Multiply equation i by 1

Multiply equation ii by 2

4n + 2p = 16 ....... iii

10n + 2p = 29.50 ...... iv

Subtract equation iii from iv

6n = 13.50

n = 13.50/6

n = 2.25

A notebook cost $2.25

Since 4n + 2p = 16 from equation I

4n + 2p = 16

4(2.25) + 2p = 16

9 + 2p = 16

2p = 16 - 9

2p = 7

p = 7/2

p = 3.5

A pen cost $3.50

Answer:

B.

Step-by-step explanation:

The expression that represents the sum of the interior angles of a polygon with 14 sides is: B. 180(14 - 2).

The formula for the sum of the interior angles of a polygon is given as, 180(n - 2), where n is the number of sides of the polygon.

For a 14-sided polygon, the sum of the interior angles would be:

180(14 - 2).

Learn more about sum of inetrior angles of a polygon on:

https://brainly.com/question/24966296

#SPJ2

Answer:

There are 24 squares in the entire rectangle

Step-by-step explanation:

Trom the problem, we are given that one row covers 1/8 of the entire rectangle.

We are also told that this one row, contains three squares.

In other words, what this means is that three squares cover 1/8 of the entire rectangle.

The question is now if three squares cover only 1/8 of the rectangle, how many squares cover the whole rectangle.

In fraction, we can represent a whole using 1/1

We can set up a simple relation to this effect.

3 squares give 1/8 of the rectangle

x squares give 1/1 of the rectangle

cross multiplying, we have

x = 3 ÷(1/8) = 24

Therefore, there are 24 squares in the entire rectangle

Answer:

1911.5 cm^3

Step-by-step explanation:

Answer:

The volume of the hemisphere is approximately 1911.5 cubic centimeters.

Step-by-step explanation:

The volume of a hemisphere ([tex]V[/tex]), in cubic centimeters, is equivalent to the half of the volume of a sphere, that is:

[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex] (1)

Where [tex]R[/tex] is the radius of the hemisphere, in centimeters.

If we know that [tex]R = 9.7\,cm[/tex], then the volume of the hemisphere is:

[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex]

[tex]V = \frac{2\pi}{3}\cdot (9.7\,cm)^{3}[/tex]

[tex]V \approx 1911.498\,cm^{3}[/tex]

The volume of the hemisphere is approximately 1911.5 cubic centimeters.