Which of the following is equivalent to 18 - square root of -25?

Answer:

Step-by-step explanation:

nth term means an expression which allows us to find the term that is in the nth position in the sequence.

Hope this helps

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Answer:

34000cm or 340m

Step-by-step explanation:

We have to find total surface area.

dimensions of 1 wooden box =

l = 1m = 100cm

b = 80cm

h = 25cm

∴ In the case of 2 =

l = 100cm

b= 80cm

h  = 25 + 25 = 50cm

T.S.A = 2(lb + lh + bh)

= 2(100*80 + 100*50+ 80*50)

= 2(8000+5000+4000)

= 2*17000

= 34000cm

= 340m

Answer:

Step-by-step explanation:

Given the formula for the surface area of a cylinder as S = 2πr(r+h) where r is the radius of the cylinder's base and h is its height.

Given parameters

base radius of the cylindrical pole = 10 cm

Height of the cylindrical pole = 2 m

Since 100 cm = 1 m, then 2 m = 200 cm

Height of the cylindrical pole (in cm) = 200 cm

Required

Surface area of the pole (in cm²)

Using the formula for finding the surface area of a cylinder as shown above;

[tex]S = 2\pi r(r+h)\\\\S = 2\pi (10)(10+200)\\\\S = 2\pi 10(210)\\\\S = 2\pi * 2100\\\\S = 4200\pi cm^2[/tex]

Hence the  surface area of the pole in square centimetres is 4200πcm²

Answer:

Hey there!

When reflecting across both axis, we switch up the signs but keep the order of the coordinates.

Thus, (-2, 8) and (2, -8) are reflections and (4, -3) and (-3, 4) are also reflections.

Let me know if this helps :)

Answer:

greater

39 million>107

The solution is 39 million is greater than 10⁷

The value 3.9 x 10⁷ is greater than the value 10⁷

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 39 million

Let the value of B = 10⁷

On simplifying the value of A , we get

A = 39 million

A = 39000000

So , the value A can be written in powers of 10 as

The value of A = 39 x 10⁶

On simplifying the equation , we get

The value of A = 3.9 x 10⁷

Now , the value of A > B

And , 3.9 x 10⁷ > 10⁷

Therefore , the value of A is greater than B

Hence , The value 3.9 x 10⁷ is greater than the value 10⁷

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Answer:

The number of 7-digit numbers are possible in a single area code is 5248600

Step-by-step explanation:

The given parameters are;

The number of digits in the area code = 7

The possible digits for X, B and C are 1 - 9 = 9 digits

The number of possible digits for A is 0 - 9 = 10 digits

Exceptions

1) B and C cannot both =

2) 555-0100 through 555-0199 are reserved for television or movies

Therefore, we have, the number of 7 digits numbers without exceptions = 10×9⁶ = 5314410 numbers

The number of the exceptions are

Exception 1) 10 × 1 × 1 × 9 × 9 × 9 × 9 = 65610 numbers

Exception 2)  555-0100 through 555-0199 = 0199 - 0100 = 200 numbers

The number of possible numbers = 5314410 - 65610 - 200 = 5248600

The number of 7-digit numbers are possible in a single area code = 5248600.

Answer:

right 3 up 4

Step-by-step explanation:

Answer:

x+3, y+4

Step-by-step explanation:

Answer:

1. [tex] \boxed{ \bold{ \sf{ - 3x + 5}}}[/tex]

2. [tex] \boxed{ \bold{ \sf{ {x}^{4} + 3 {x}^{3} + 2x}}}[/tex]

Step-by-step explanation:

1. [tex] \sf{(2x + 2) + (3 - 5x)}[/tex]

When there is a ( + ) in front of expression in parentheses , the expression remains the same.

⇒[tex] \sf{2x + 2 + 3 - 5x}[/tex]

Collect like terms

⇒[tex] \sf{ - 3x + 2 + 3}[/tex]

Add the numbers

⇒[tex] \sf{ - 3x + 5}[/tex]

2. [tex] \sf{( {3x}^{3} - 4 {x}^{4} ) + (2x + 5 {x}^{4}) }[/tex]

When there is a ( + ) in front of expression in parantheses , the expression remains the same

⇒[tex] \sf{3 {x}^{3} - 4 {x}^{4} + 2x + {5x}^{4} }[/tex]

Collect like terms

⇒[tex] \sf{ {x}^{4} + 3 {x}^{3} + 2x}[/tex]

Hope I helped!

Best regards!!

Answer:

no solution

Step-by-step explanation:

2x - 3 > 2(x+9)

Distribute

2x-3 > 2x+18

Add 3 to each side

2x-3+3 > 2x+18+3

2x> 2x+21

Subtract 2x from each side

2x-2x> 2x-2x+21

0 > 21

This is never true so there is no solution

Answer:

See below.

Step-by-step explanation:

So we have the inequality:

[tex]2x-3>2(x+9)[/tex]

First, distribute the right side:

[tex]2x-3>2x+18[/tex]

Subtract both sides by 2x. Both the left and right cancels:

[tex](2x-3)-2x>(2x+18)-2x\\-3>18[/tex]

-3 is not greater than 18. Therefore, the inequality is never true.

Answer: [tex]1\dfrac{29}{60}\text{ minutes}[/tex]

Step-by-step explanation:

Given: A total eclipse solar eclipse in 2003 lasted [tex]5\dfrac{3}{20}[/tex] minutes

[tex]=\dfrac{5(20)+3}{20}=\dfrac{103}{20}\text{ minutes}[/tex]

& a total eclipse solar eclipse in 2005 lasted [tex]3\dfrac{2}{3}[/tex]minutes

[tex]=\dfrac{3(3)+2}{3}=\dfrac{11}{3}\text{ minutes}[/tex]

Difference= [tex]\dfrac{103}{20}-\dfrac{11}{3}=\dfrac{103\times3-11\times20}{60}[/tex]

[tex]=\dfrac{309-220}{60}\\\\=\dfrac{89}{60}\text{ minutes}\\\\=1\dfrac{29}{60}\text{ minutes}[/tex]

So, 2003 solar eclipse was [tex]1\dfrac{29}{60}\text{ minutes}[/tex] longer than solar eclipse in 2005.

Answer:

-6,2

Step-by-step explanation:

f(x) = (x + 2)^2 - 16

Set this equal to zero to find the solutions

0  = (x + 2)^2 - 16

Add 16 to each side

16  = (x + 2)^2

Take the square root of each side

±sqrt(16) = sqrt( (x + 2)^2)

±4 = x+2

Subtract 2 from each side

±4 -2 = x+2-2

±4 -2 = x

4-2 = x

-4-2 =x

2, -6

In order from least to greatest

-6,2

Answer:

x = about 3 months and y = about $32.04

Step-by-step explanation:

x = month

y = when the two companies to charge the same amount

Company A

$19.20 + $4.24x = y

Company B

$10.57x = y

10.57x = 19.20 + 4.24x

10.57x-4.24x = 19.20

6.33x = 19.20

x=19.20/6.33

x= 3.03 rounded

So about 3 months

So now we plug in x to get y

10.57 * 3.03 = about $32.03

19.20 + 4.24 * 3.03 = about $32.05

I will average between the two costs which equals $32.04

Hope this helps! :)

Answer:

$104

Step-by-step explanation:

10% = 160 ÷ 10 = $16

5% = $16 ÷ 2 = $8

30 % = 16 x 3 = $48

48 + 8 = $56

$160 - $56 = $104

Hope this helps!

Answer:

all real numbers

Step-by-step explanation:

simplify each side of the inequality

26 + 6b -- already fully simplified

2(3b + 4) → 6b + 8

26 + 6b ≥ 6b + 8

subtract 6b from both sides

26 ≥ 8

since this expression is true (26 is greater than 8), then the solution is all real numbers. any value could take the place of b because in the end, it will be canceled out by itself, resulting in 26 ≥ 8

Answer:

8 roses and 12 carnations.

Step-by-step explanation:

For this question, we can use substitution.

r + c = 20, so r = 20 - c.

Substitute this into the second equation, and we get (0.75)(20 - c) + 0.5 c = 12

We can expand, getting 15 - 0.75c + 0.5c = 12.

Combine like terms, and we get 0.25c = 3.

We then solve for c: 12.

Plug this back into the first equation, and we get r = 8.

There are 8 roses and 12 carnations in Denny's bouquet.

Answer:

Denny's bouquet will hold both 16 roses and 16 carnations.

Step-by-step Explanation:

0.75x16= 12

0.5x16= 8

12+8=20

Answer: 40

Step-by-step explanation:

angle 1 and 2 are alternative interior angle which means they are equal

-------------------------------

angle 1= angle 2

2x+20=3x+10

      x=10

------------------------------

angle 1=2x+20

           =2(10)+20

           =20+20

           =40

Step-by-step explanation:

Hey there!!

Just do it in a simple way.

Use the properties of parallel lines, and find the value of x to find angke 1.

angle 1= angle 2 { alternate angles on parallel lines are equal }

[tex]2x + 20°= 3x + 10°[/tex]

or, 3x-2x = 20°-10°

x= 10°.

now,

angle 1= 2x+ 20°

=2×10°+20°

Therefore, the measure os angle 1 is 40°.

Hope it helps...

Answer:

Rectangle 1 area: 53 units squared

Shape 2 area: 43.75 units squared

Step-by-step explanation:

Shape 1:

We need to find the area of the two triangles in this rectangle and subtract it from the total area of the rectangle.

Total area of the rectangle:

13 * 5 = 65

Area of triangles (they are congruent):

1/2 * 4 * 3 = 6

6 * 2 = 12

65 - 12 = 53

The area of the shaded part is 53 (I don't know what your unit of measurement is. Just say units.)

Shape 2:

First, let's find the area of the parallelogram at the top.

10 * 3 = 30

Now, let's find the area of the rest of the shape. Triangle first...

1/2 * 4 * 1.5 = 3

Now, the rectangle and the tiny triangle we can section out at the end:

7 * 1.5 = 10.5 + 1/4 (Triangle) or 0.25 = 10.75

Total area: 10.75 + 3 + 30 = 43.75

Answer:

[tex]\large \boxed{\mathrm{(a) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(b) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(c) \ All \ real \ numbers}}[/tex]

Step-by-step explanation:

2x+4(x-1)=2+4x

Expand brackets.

2x+4x-4=2+4x

Combine like terms.

6x-4=2+4x

Subtract 4x from both sides.

Add 4 to both sides.

2x=6

Divide both sides by 2.

x=3 (One solution)

25-x=15-(3x+10)

Distribute negative sign.

25-x=15-3x-10

25-x=-3x+5

Add x and -5 to both sides.

20=-2x

Divide both sides by -2.

-10=x (One solution)

4x=2x+2x+5(x-x)

Solve for brackets.

4x=2x+2x+5(0)

4x=2x+2x

Combine like terms.

4x=4x

Divide both sides by 4.

x=x

All real numbers are solutions. (All real numbers)

Greetings from Brasil...

Let's find the equivalent fractions

A/B ; C/D  ⇔  A·D/B·D ; C·B/B·D

Bringing to our problem:

A/B ; C/D  ⇔  A·D/B·D ; C·B/B·D

1/3 ; 2/5  ⇔  1·5/3·5 ; 2·3/3·5  ⇔  5/15 ; 6/15

Now we can sum/add the equivalent fractions

5/15 + 6/15 = 11/15

11/15   to accomodation and food

15/15 = total

total - (accomodation and food) = other purposes

15/15 - 11/15 = 4/15

So 4/15 its the fraction for other purposes

Answer:

3km = 3000000 milimeters = 3000000mm

Step-by-step explanation:

1 km = 1000 meters

1 meter = 1000 milimeters

then:

1km = 1000*1000 = 100000 milimiters = 1000000mm

3km = 3*1000000 = 3000000 milimeters

Answer:

[tex]\Large \boxed{\mathrm{12. \ 54}}[/tex]

[tex]\Large \boxed{\mathrm{13. \ -7.6}}[/tex]

Step-by-step explanation:

|54|

Solve for absolute value.

Apply rule : |a| = a

|54| = 54

-|-7.6|

Apply rule :  |-a| = a

-|-7.6| = -7.6

Answer:

12: 54 and 13: -7.6

Step-by-step explanation:

The absolute value of a number is basically the distance it is from 0. For example, |1| = 1. There is a "rule" for absolute value, if a number x ≥ 0, then |x| = x but if x < 0, then |x| = -x. This is because absolute value is always positive, and if a number is negative, all you have to do to make it positive is multiply it by -1. Therefore, the answer for 12 is 54 since x > 0 in this case. To find the answer to 13, we know that |-7.6| = -(-7.6) = 7.6. -(7.6) = -7.6.

Answer:

Let's assume John gets p for each day so his total is 4p. He spends half of that on gas, (4p)/2 = 2p. He has 2p left. Now subtract 5 from 2p for the coffee, and there is 35 left. So 2p - 5 = 35. Right? Now you can solve for p, by simplifying that equation.

Step-by-step explanation:

Answer:

P=(a+b)*2

P=(2x+8+5x-2)*2=(7x+6)*2=14x+12

Step-by-step explanation:

perimeter is the distance round. Add all the algebras

2x+8+5x-2+2x+8+5x-2

{combine the like terms}

P= 14x+12

Answer:

x^2-2x-8

Step-by-step explanation:

FOIL the two together and get x^2 for the first, -4x outer, +2x inner, -8 last. Then combine like terms and get x^2-2x-8

Answer:

(fg)(x)) = x² - 2x -8

Step-by-step explanation:

----------

Answer:

y = x - 1

Step-by-step explanation:

Lines that are parallel have the same slope.  The slope of the given equation is 1.  This means that the new equation will also have a slope of 1.

Use the point-slope form to find the equation with the given point and slope.

y - y₁ = m(x - x₁)

y - 2 = 1(x - 3)

y - 2 = x - 3

(y - 2) + 2 = (x - 3) + 2

y = x - 1

Answer:

I'm going to go with B.

Step-by-step explanation:

but don't just take my answer bc I'm not 100% sure

The given figure is an example of an Orthographic drawing.

So the correct option is option D.

In  Orthographic drawing, we represent several 2D views of an object to obtain a 2D object.

The most common views of Orthographic drawings are top, right, and front.

Though the figure mentioned in the question represents the top, right, and front part view and as per the definition of perspective drawing it is not flat,  it cant be looked flat when opened which satisfies the definition of net so, the figure satisfies option 3.

Thus, the figure is an example of an Orthographic drawing.

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Answer:

15

Step-by-step explanation:

you can approach this question with simple math

first you would divide 35 by 7 and you would get 5 then multiply by 3, you will get 15

Answer:

the answer is 15

Step-by-step explanation:

3/7 of 35 means 3/7 x 35

so 3/7 x 7x5

3x5 =15( deleting 7 from numerator and denominator)

ans : 15

Answer:

Smallest: XY

Second smallest: YZ

Biggest: XZ

Step-by-step explanation:

First, just observe the triangle,

see which one is the smallest,

if you just look, it would be XY

Next, the second smallest looks like YZ

Lastly, the last side is the largest if you just look at it