Which expressions are equivalent to 2(4f+2g)2(4f+2g)2, left parenthesis, 4, f, plus, 2, g, right parenthesis ? Choose 3 answers: Choose 3 answers: (Choice A, Checked) A 8f+2g8f+2g8, f, plus, 2, g (Choice B) B 2f(4 + 2g)2f(4+2g)2, f, left parenthesis, 4, plus, 2, g, right parenthesis (Choice C) C 8f+4g8f+4g8, f, plus, 4, g (Choice D, Checked) D 4(2f+g)4(2f+g)4, left parenthesis, 2, f, plus, g, right parenthesis (Choice E) E 4f+4f+4g4f+4f+4g

Answer:

-15

Step-by-step explanation:

In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.

Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.

Thus, we have;

2a(b-3) + 5b + _

Now, putting -15 will give us the same expression in the first bracket and this gives us the following;

2a(b-3) + 5b-15

2a(b-3) + 5(b-3)

So we can have ; (2a+5)(b-3)

Hence the constant used is -15

Answer:

The perimeter of the Rhombus is 100 cm

Step-by-step explanation:

First of all, we will need to find the length of the other diagonal.

let’s call the diagonals p and q

Mathematically, the area of the Rhombus is;

pq/2 = Area of Rhombus.

Let’s call the missing diagonal p

So;

(p * 14)/2 = 336

14p = 672

p = 672/14

p = 48 cm

Now, we can find the perimeter of the Rhombus using these diagonals.

Mathematically;

P = 2 √(p^2 + q^2)

Substituting these values, we have;

P = 2 √(14)^2 + (48^2)

P = 2 √(2500)

P = 2 * 50

P = 100 cm

The perimeter of the rhombus is the sum of its side lengths

The perimeter of the Rhombus is 100 cm

The length of one of its diagonal is given as:

[tex]p= 14[/tex]

And the area is given as:

[tex]A = 336[/tex]

Assume the other diagonal is q.

The area of the rhombus is represented as:

[tex]A = \frac{pq}2[/tex]

So, we have:

[tex]336 = \frac{14q}2[/tex]

This gives

[tex]336 = 7q[/tex]

Divide both sides by 7

[tex]48 = q[/tex]

Rewrite as:

[tex]q = 48[/tex]

The perimeter (P) of the rhombus is calculated as:

[tex]P =2\sqrt{p^2 + q^2[/tex]

So, we have:

[tex]P =2\sqrt{48^2 + 14^2[/tex]

Evaluate the squares

[tex]P =2\sqrt{2500[/tex]

Take positive root of 2500

[tex]P =2 \times 50[/tex]

[tex]P =100[/tex]

Hence, the perimeter of the Rhombus is 100 cm

Read more about areas and perimeters at:

https://brainly.com/question/14137384

Answer:

7/8

Step-by-step explanation:

63 ÷ 9/72 ÷ 9

= 7/8

Answer:

7/8

Step-by-step explanation:

63/9 = 7

72/9 = 8

then:

63/72 = 7/8

Answer:

B. $18.00

Step-by-step explanation

160/4 divide 160 by 4 to see how much Miss Adams makes and hour

She makes $4 an hour

multiply this ($4) by her idle time (4.5) hours to get $18

Answer:

Step-by-step explanation:

[tex](x-h) ^2+(y-k) ^2 =r^2[/tex]

The above equation is the general standard equation for the circle centered at (h,k) with radius r

Given that the equation of the circle is

[tex](x-2) ^2+(y+3) ^2 =25[/tex]

Comparing this with the general equation we can get the center and the radius as

[tex](x-h) ^2+(y-k) ^2 =r^2\\(x-(2)) ^2+(y-(-3)) ^2 =5^2[/tex]

We can now see that

h= 2

k= -3 and

r= 5

Answer:

20x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

(1/3)*(3/5)*(5/7)*.......*(93/95) * (95/97) * (97/99)

The denominator of each fraction will cancel out the numerator of the next fraction.

Take a close look

Therefore the result is 1/99

HOPE IT HELPS!!

The product of the geometric series  is 1/99.

The product is a geometric series with first term 1/3 and common ratio 2/3. The number of terms is 49. The sum of the series is 1/99.

Here's the explanation:

A geometric series is a series where each term is multiplied by a constant value to get the next term. The constant value is called the common ratio.

In this case, the first term is 1/3 and the common ratio is 2/3. This means that each term is multiplied by 2/3 to get the next term.

The number of terms in the series is 49. This means that there are 49 terms in the series, starting with 1/3 and ending with 97/99.

The sum of the series is 1/99. This can be found using the formula for the sum of a geometric series:

S = a × (1 - [tex]r^{n}[/tex]) / 1 - r

where a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = 1/3, r = 2/3, and n = 49. Substituting these values into the formula, we get:

S = (1/3) × (1 - (2/3)49) / 1 - (2/3) = 1/99

Therefore, the product is 1/99.

Learn more about geometric series  here: brainly.com/question/30264021

#SPJ2

This is a problem using the Pythagorean theorem.

The square of the length required is 122 + 122 + 302 = 1188

The length is the square root of this number; I will leave it to you to extract the square root.

Answer:

34.47

Step-by-step explanation:

Answer:

Value of the function will be 2742.06

Step-by-step explanation:

Given function is,

f(x) = 1500(1.09)ˣ

By substituting the value of x we can find the value of the given function.

For x = 7,

f(7) = 1500(1.09)⁷

     = 1500(1.828)

     = 2742.0587

     ≈ 2742.06

Value of the function will be 2742.06

Answer:

x = 2

Step-by-step explanation:

If x is a prime number, then x + 1 is not a prime number.

A counterexample is x = 2.

x = 2

2 is prime

x + 1 = 2 + 1 = 3

3 is also prime

Answer:

$6488.19

Step-by-step explanation:

To solve this problem we use the compounded interest formula:

[tex]amount = principal(1 + (r \n))^({n}{t})[/tex]

a = $2600(1+(0.0675/1))¹*¹⁴

a = $6488.19

Answer:

the answer is 5

Step-by-step explanation:

2x/5 - 9 = -7

2x/5      = -7 + 9

2x/5      = 2

2x         = 2 * 5

2x         = 10

x            = 10/2

x            = 5

Answer:

x = 5

Step-by-step explanation:

2

--- x - 9 = -7              add 9 both sides

 5

2

--- x - 9 + 9 = -7 + 9      

 5

2

--- x = 2             multiply both sides by 5

 5

    2

5 * --- x = 2 * 5

     5

2x = 10

x = 10 / 2

x = 5

Answer:

m = 4

Step-by-step explanation:

9/6=6/m

9m = 36

m = 4

Answer:

-3x + y = 8.

3y = 9x.

Step-by-step explanation:

To find the slope of the lines we convert to slope-intercept form, which is

y = mx + c   (m is the slope.)

The slope of y = 3x + 5 is therefore 3.

Parallel lines have the same slope.

Finding the slope of the given lines:

-3x + y = 8

y = 3x + 8  - slope is 3 so this is parallel to  y = 3x + 5.

3y = 9x

Divide through by 3:

y = 3x  - so this is also parallel to 3x + 5.

y = -jx  The slope is -j so it is not parallel.

16x + 2y = 12

2y = -16x + 12

y = -8x + 6  - Not parallel.

Answer:

1:3

Step-by-step explanation:

[tex]3:9\\= 1: 3[/tex]

Answer:

1   : 3

Step-by-step explanation:

pears : apples

3           9

Divide each side by 3

3/3      9/3

1   : 3

Answer:2.the answer is 189,250pages

Step-by-step explanation:

1L=1000ml

3.785=?3785

1ml=50pages

3785ml=?

The answer is 189,250

Answer:

[tex]\huge\boxed{\sf Area\ of \ Semicircle = 56.55 \ units^2}[/tex]

Step-by-step explanation:

Diameter = 12

Radius = 12/2 = 6

[tex]\sf Area\ of \ Semicircle =\frac{\pi r^2}{2} \\Area\ of \ Semicircle =\frac{\pi (6)^2}{2} \\Area \ of \ Semicircle = \frac{\pi (36)}{2}\\ Area \ of \ Semicircle = 18 \ pi[/tex]

[tex]\sf Area\ of \ Semicircle = 56.55 \ units^2[/tex]

Answer:

18π units²

Step-by-step explanation:

(see attached for reference)

Recall that the area of a whole circle is given by:

A = (π/4) D²,

where D is the diameter of the circle.

We know that the area of a semi-circle is half the area of a whole circle.

Therefore,

Area of Semi Circle

= (1/2) x area of whole circle

= (1/2) x (π/4) D²     (Substitute D = 12 units)

= (1/2) x (π/4) (12)²  

= 18π units²

Answer:

$1.67

Step-by-step explanation:

Divide 15 by 9 to find the price of one cookie:

15/9 = 1.67

=  approximately $1.67

Answer:

a) Similar triangles are triangles with the same shape but not necessarily the same size

b) 15/45 = 8/x

1/3 = 8/x (simplify the 15/45)

x = 8 * 3 (cross multiplication)

x = 24

c) y^2 = 15^2 + 8^2 (Pythagoras theorem)

y = *square root of* 15^2 + 8^2

y = 17

1/3 = 17/z

z = 17 * 3 (cross multiplication)

z = 51

Answer:

The pic there has a step by step explanation

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        Hi my lil bunny!

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[tex]\frac{(3^-2)^2 * (5^2)^-3 * ( t ^-3)^2 }{( 3^-2) ^5 ( 5^3) ^-2 ( t ^-4)^3}[/tex]

[tex]= \frac{\frac{1}{1265625^t12} }{1}[/tex]

[tex]= \frac{\frac{1}{992640625^t6} }{1}[/tex]

[tex]= \frac{992640625^t6}{1265625}[/tex]

[tex]= \frac{922640625tttttt}{1265625}[/tex]

[tex]= 729t^6[/tex]

Answer : [tex]729t^6[/tex]

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If this helped you, could you maybe give brainliest..?

❀*May*❀

Answer:

x=8i,\:x=-8i

Step-by-step explanation:

x^2+64-64=0-64

x^2=-64

x=\sqrt{-64},\:x=-\sqrt{-64}

x=8i,\:x=-8i

Answer:

[tex]\huge\boxed{\sf The \ expression\ equals \ zero}[/tex]

Step-by-step explanation:

=> 5 + (-5)    [ + (-) = - ]

=> 5 - 5

=> Zero

Answer:

The answer is option A-The expression equals 0.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

So the lion weighs more than the ant right?

And we wish to figure out how much greater the lion's weight is compared to the ant's weight.

So only thing we have to do is divide.

[tex]\frac{1 * 10^5}{2*10^-3} = \frac{10^5}{2*10^-3} = \frac{10^8}{2} = 50000000 = 5 * 10^7[/tex]

Answer:

5×10^7

Step-by-step explanation:

2×10^-3    1×10^5

(1×10^5)/(2×10^-3)=

5×10^7

to scheck :(2*10^-3)(5*10^7)=(1*10^5)

Answer:

6x^2 + 15

Step-by-step explanation:

We don't know what the square of a number is, so we represent it as x^2

The first part tells us to find the product of 6 and the square of a number, so

6x^2

The second part tells us to add 15 so,

6x^2 + 15

The expression that should be represented is [tex]6x^2 + 15[/tex]

Given that

Based on the above information,

Let us assume the number should be x

So, from the above information, the expression should be [tex]6x^2 + 15[/tex]

Therefore we can conclude that The expression that should be represented is [tex]6x^2 + 15[/tex]

Learn more about the equation here:brainly.com/question/21105092?

Answer:

a^5b^8/a^4b^10

= a^5-4 b^8-10

= a^1 b^-2

= a/b^2

I hope this helps

if u have question let me know in comments ^_^

Answer:

16

Step-by-step explanation:

Distribute 7 into x and 2, which gets you 7x+14. Then distribute 6 into x and 5, which is 6x+30. 7x-6x= x, 30-14=16 so there’s your answer.

Answer:

Step-by-step explanation:

7x + 14 = 6x + 30

x + 14 = 30

x = 16

Step-by-step explanation:

theanswer is 64 degrees

Answer:

45 minutes faster

Step-by-step explanation:

Distance:

40 x 3.75 = 150

If travel 50 miles/h:

150/50 = 3

3.75 - 3 = 0.75 of hour

45 minutes

Hope that helped!!! k

Answer:

411,600.000× 10^3 OR 4.11600000×10^8

Step-by-step explanation:

The expontent seems to be 3 so you move the decimal point over <this way 3

if it is 8 you move it over this way < 8

Answer:

411,600.000× 10^3 OR 4.11600000×10^8

Step-by-step explanation:

The expontent seems to be 3 so you move the decimal point over <this way 3

if it is 8 you move it over this way < 8

Answer:

JK = 24

Step-by-step explanation:

Δ BKJ and Δ BCA are similar triangles and ratios of corresponding sides are equal, that is

[tex]\frac{JK}{AC}[/tex] = [tex]\frac{BK}{BC}[/tex] , substitute values

[tex]\frac{JK}{40}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

5JK = 120 ( divide both sides by 5 )

JK = 24

the triangles are all similar, because they have proportional sides and equal angles.

if you assume the smallest, equal part of side to be x

the biggest triangle has "5 parts" so BC=5x and BK has 3 parts so BK=3x .

since they're similar, ratio of their corresponding sides is constant or equal.

[tex] {BK\over BC}={JK \over AC}[/tex]

BK/BC=3/5

and AC=40

so JK = 40*3/5=24