A savings account for a car is set up with an initial balance of $3000, and 125 is added every
month (no other transactions occur on the account).
1. Write the expression:
2. Write the equation equal to the $5,000 car goal:
3. M=
4. How long will it take:

Answer:

Option (B) is correct

Step-by-step explanation:

Answer:

(f + g)(x) = 5x - 3

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 2x + 4 + 3x - 7 ← collect like terms

= 5x - 3

Answer:

5x - 3

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= 2x + 4 + ( 3x - 7 )

= 5x - 3

Answer:

7 in.

Step-by-step explanation:

2L + 2W = 16

Try L = 7

2(7) + 2W = 16

14 + 2W = 16

2W = 2

W = 1

If the length is 7 in., then the width is 1 in. That is perfectly acceptable, so L = 7 in. is a good value.

Try L = 8

2(8) + 2W = 16

16 + 2W = 16

2W = 0

W = 0

A length of 8 would make a width of 0. You can't have a rectangle with 0 width, so L = 8 does not work.

When L = 9 or L = 10, the width would be negative. The width of a rectangle cannot be a negative number, so these values doe not work.

Answer: 7 in.

Answer:

-4/3

Step-by-step explanation:

-3 x (-2/3)²

= -3 x (4/9)

= -4/3

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the vertices of the triangles is missing.

However, the following formula can be used to calculate distance;

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Take for instance:

[tex]A = (1,8)[/tex]

[tex]A' = (7,8)[/tex]

The distance between both is:

[tex]d = \sqrt{(1- 7)^2 + (8- 8)^2}[/tex]

[tex]d = \sqrt{(-6)^2 + 0^2}[/tex]

[tex]d = \sqrt{36 + 0}[/tex]

[tex]d = \sqrt{36}[/tex]

Take square root

[tex]d = 6[/tex]

Apply the above steps to the complete question

Answer:

A D 3 3

B E 3 3

C F 3 3

A G 5 5

B H 5 5

C I 5 5

A J 6.4 6.4

B K 6.4 6.4

C L 6.4 6.4

Step-by-step explanation:

PLATO ANSWER

Step-by-step explanation:

the systems of equations shown are parallel because they have the same slope

Step-by-step explanation:

the sum of angels of a triangle is 180°

130+ ? + (180-160) = 180

130+ ? +20= 180

150+ ? = 180

? = 30°

the missing angle is 30°

Answer:

Step-by-step explanation:

[tex]C =2\pi r[/tex] and since we have to state the answer to 2 decimal places, that means that we are using the number value for π. In specific, π = 3.1415 is good enough. The other thing we note is that the formula for circumference could also be written in terms of its diameter as opposed to its radius:

C = πd. Let's use that one since we are given the diameter of the tire, not the radius.

C = (3.1415)(.65) so

C = 2.04 m

The circumference of the wheel  is C = 2.04 m.

Given ,

          d = 0.65 m

          π = 3.14

Let's use that one since we are given the diameter of the tire, not the radius.

Use this formula ,     C = πd

                         C = (3.1415)(.65)

                       so, C = 2.04 m

Therefore, the circumference of the wheel  is C = 2.04 m.

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Answer:

Rectangle ABCD is a square. ... Last edited by Bunuel on Feb 24, 2018 7:34 am, edited 2 times in total. ... No values are given. ... since the radius is half the diamter you get 5* area of  

Answer:

Step-by-step explanation:

This is a right triangle trig problem. Picture a right triangle. The height of the triangle is the height of the lighthouse, your distance from the base of the lighthouse is what we are solving for, and the reference angle is 2 degrees, which is the angle of inclination from where you stand to the top of this lighthouse. We have the reference angle, the side opposite the reference angle, and we are looking for the side adjacent to the reference angle. This is the tangent ratio: the side opposite the reference angle over the side adjacent to the reference angle. We know the measure of the reference angle and we know the value of the side opposite the reference angle. Filling in:

[tex]tan(2)=\frac{200}{x}[/tex] and

[tex]x=\frac{200}{tan(2)}[/tex] so

x = 5727.25 feet, the third choice down

Answer:

[tex]tan2=200/x[/tex] [tex]x=200/tan2[/tex]

[tex]x=5,727.25[/tex]

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hope it helps..

have a great day!!

Answer:

A relational database stores data in a series of tables so that the data models a mathematical theory of relations. The model allows for queries based on projection, selection, and join, among other operations, and connects the data in the tables by way of keys.

Answer:

Well, I guess in a formal sense you could call relational algebra a type of logic, which puts it into the realm of ‘math’, though I don’t think most mathematicians would look at it as being a very significant area, more ‘applied logic’ than anything else.

That being said, relational algebra DOES present some formalisms in the shape of relations, tuples, normalizations, and denormalization, etc. There is also a model of sequential operations and thus the underpinnings of the ACID database concept.

Since the overwhelming primary use of RA has been as a way to structure our ideas about SQL RDBMSes there isn’t really a lot of deep theory there. I don’t think anyone has really built any other models of RA beyond an RDBMS. There have been limited non-SQL RDBMS implementations, but AFAIK none of them are really actively maintained today.

Answer:

0.000 008 54 = 8.54 x [tex]10^{-6}[/tex]

Step-by-step explanation:

here is the deal / the rules for scientific notation

1) the number in front of the [tex]10^{x}[/tex] has to be [tex]\geq[/tex] 1 and < 9

that rule is VERY IMPORTANT... [tex]\geq[/tex] 1 and < 9

2) if you move a decimal point to the left the exponent goes up by one

3) if you move the decimal to the right it goes down by one

examples:

314,000,000,000

starting from the right we move the decimal "11" positions to get to

3.14 (notice that I can not stop at 31.4 because that is greater than 10)

so the answer would be 3.14 x [tex]10^{11}[/tex]

your question 0.000 008 54  has to move the decimal SIX positions to

the the right (-6) ...  8.54 x [tex]10^{-6}[/tex]

Answer:

x(3x^ x - 2 x - 1)

Step-by-step explanation:

the answer is

x(3x^2 - 2x - 1)

Answer:

[tex]{ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}[/tex]

Answer:

Step-by-step explanation:

Answer:

EC=2, AD=2.4

Step-by-step explanation:

Objectives: Similar Triangles. We need to establish the scale factor of the similar triangles, and use that factor to find the missing side length.

The corresponding similar side of the left triangle is AD and AB. AB measure is 4.5 and AD measure is 1.5 so this means that AB is 3 times as long as AD. This also means that for the other sides of the left triangle as well.

Using this information and what given in the diagram, AC measure is 3 but we need to find EC measure. We can use the addition postulate to find EC.

The same can be done for the triangle on the right. AC is 3 times longer than AE, so this means that AB is 3 times longer than AB using that knowledge, AD measure is 2.4

Answer:

[tex]\left(3x+4\right)\left(x-8\right)[/tex]

[tex]a=3x,\:b=4,\:c=x,\:d=-8[/tex]

[tex]=3xx-3\cdot \:8x+4x-4\cdot \:8[/tex]

[tex]=3x^2-20x-32[/tex]

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Answer:

a=21

b=69

c=42

d=138

Step-by-step explanation:

c is supplementary to d (which is 138), so c=180-138= 42.

angle b is on the edge of the central angle 138, so b is 1/2, therefore, b=69.

angle a is complementary to angle b because any triangle that includes the diameter is a right angle, so angle a=90-69=21.

Answer:

a₂₀ = 77

Step-by-step explanation:

There is a common difference between consecutive terms , that is

5 - 1 = 9 - 5 = 13 - 9 = 4

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 4 , then

a₂₀ = 1 + (19 × 4) = 1 + 76 = 77

Answer:

1/36

Step-by-step explanation:

A standard die has 6 faces

The numbers 1 through 6 on singly on each face

so the probability of tossing a 1 would be;

1/6

The probability of tossing another 1 would still be same 1/6

So the probability of tossing a 1 and another 1 would be the product of the two tosses as follows;

1/6 * 1/6 = 1/36

Answer:

The smaller angle will be "156°".

Step-by-step explanation:

According to the question,

Before 12, the minute hand at 48 minutes:

= [tex]60-48[/tex]

= [tex]12[/tex] (minutes to 12)

So,

= [tex]12 \ minutes+14 \ minutes[/tex]

= [tex]26 \ minutes[/tex]

hence,

The smaller angle will be:

= [tex]26\times 6^{\circ} \ each[/tex]

= [tex]156^{\circ}[/tex]

Answer:

The angle is 204 degree.

Step-by-step explanation:

The angle turned by minute hand in 1 minute is 6 degree

The angle turned by the hour hand in 1 hour is

For the hour hand :

The angle turned in 1 hour = 360/12 = 30degree

At 2 : 00 , the angle covered = 30 x 2 = 60 degree

In each minute the hour hand moves  = 30 degrees / hour  x  1 hour/60 min  

                              = 1/2 degree  

So at 2: 48   the hour hand is at    2*30  + 48 * 1/2 = 84 degrees

For the minute hand:

In each minute it turns = 6 degrees  

So, at 48 minutes the minute hand is at   48 x 6 = 288 degrees

So, the angle between them is 288 - 84 = 204 degrees  

Answer:

Step-by-step explanation:

I'll answer the question, but before I do, let me crab about the reliance on a diagram. You should never have to answer a question where you make assumptions about the diagram. It should state the the longest leg in one triangle = 2x - 4, and the hypotenuse in the larger triangle is 42, while in the smaller one it is x + 8\

Added to which you have to state that there is a ratio between the large triangle and the small one.

24/(2x - 4) = (x + 8)/42             Cross Multiply

24*42 = (x + 8)*(2x - 4)             Remove the brackets. Combine the left

1008 = 2x^2 - 4x + 16x - 32     Combine the right   and switch

2x^2 + 12x - 32 = 1008             Subtract 1008

2x^2 + 12x - 1040 = 0                Divide by 2

x^2 + 6x - 520  = 0

(x + 26)(x - 20) = 0

x = - 26 which has no meaning

x = 20 which is the answer.

2x - 4 = 2*20 - 4 = 36

x + 8 = 28

I'm not sure what you want -- the side lengths or just x.

Step-by-step explanation:

the ratio

24:2x-4=x+8:42

24/2x-4=x+8/42

24×42=(x+8)(2x-4)

1008=2x(x+8)-4(x+8)

1008=2x²+16x-4x-32

1008=2x²+12x-32

1008+32=2x²+12x

1040=2x²+12x

0=2x²+12x-1040

OR

24/2x-4=x+8/42

LCM=42(2x-4)

42(2x-4)×24/2x-4=42(2x-4)×x+8/42

42×24=(2x-4)(x+8)

1008=2x(x+8)-4(x+8)

1008=2x²+16x-4x-32

1008=2x²+12x-32

1008+32=2x²+12x

1040=2x²+12x

0=2x²+12x-1040

Answer:

the first option

Step-by-step explanation:

it is directly there in the problem description.

f(x) = 1.8x - 10

g(x) = -4

so, for f(x)=g(x) that automatically means

1.8x - 10 = -4

1.8x = 6

x = 6/1.8 = (6/1) / (18/10) = 10×6 / 18×1 = 60/18 = 10/3

They have a total time of 3 hours and they equally spend at each exhibit which means that they spent 18 minutes on each exhibit.

The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is essential for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given information in the question,

Total time = 3 hours

Time in minutes = 3 × 60 = 180 minutes

They have 10 exhibits to visit.

The time spent on each exhibit is,

180/10 = 18 minutes on each exhibit.

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Hello!

8 × 3 + 10 - 13 × 2 =

= 24 + 10 - 13 × 2 =

= 24 + 10 - 26 =

= 34 - 26 =

= 8

Good luck! :)

Answer:

8

Step-by-step explanation:

According to bdmas rule

First multiply 8 and 3 or 13 and 2

Then, there will be 24 + 10 - 26

Then add 24 + 10, there will be 34

and again minus by 26

Then finally answer will be 8

Answer:

8 Times, Mark would expect to roll a one 'Eight times'

Answer:

29

Step-by-step explanation:

43.25-7=36.25

36.25/1.25=29

Answer:

4 cans of paint

Step-by-step explanation:

Take the area of the wall and divide by the area that the can of pain will cover

10.37 / 3.1

3.34516129 cans

We need to round up to make sure we buy enough cans of paint

4 cans of paint

We can take area as,

Area = A

The required formula is,

→ A of wall ÷ A that paint's can will cover

Then find the no. of cans of paint that are needed to paint the wall.

Now use the formula,

→ A of wall ÷ A that paint's can will cover

→ 10.37 ÷ 3.1

→ 3.34516129032

→ 4 cans (by nearest value)

Hence, we need 4 cans to paint the wall.

Answer:

[tex]9p^2-16q^2[/tex]

[tex](3p)^{2} -(4p)^{2}[/tex]

[tex]\underline{x^2-y^2=\left(x+y\right)\left(x-y\right)}[/tex]

[tex]\left(3p\right)^2-\left(4q\right)^2=\left(3p+4q\right)\left(3p-4q\right)[/tex]

[tex]=\left(3p+4q\right)\left(3p-4q\right)[/tex]

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hope it helps....

have a great day!!

Answer: 69, -69

Step-by-step explanation:

it is easy buddy not lies