Christian created a model
of his truck using a scale of
1 inch : 36 inches. If the length
of his actual truck is 250.4
inches, how long is his model,
rounded to the nearest inch?

Answer:

The nth term of the geometric sequence is is 32805

Step-by-step explanation:

The nth term of a geometric sequence is given by

[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]

Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio

We are given the fourth term of this sequence

[tex]a_4 = -135[/tex]

The common ratio is

[tex]r = -3[/tex]

Once we find the 1st term then we can find any other term.

[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]

So the ninth term of this geometric sequence is

[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]

Therefore, the nth term of the geometric sequence is is 32805

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is  $197.9

Step-by-step explanation:

 In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

[tex]A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3[/tex]

[tex]A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58[/tex]

Interest is [tex]A-P= 51411.58-43000= 8411.58[/tex]=$8411.58

solving for option B  which gives her 6% simple interest annually

the simple interest formula is

[tex]A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68[/tex]

Interest is[tex]A-P=51213.68-43000= 8213.68[/tex]= $8213.68

calculating the diference in interest between the two options we have

[tex]8411.58-8213.68= 197.9[/tex]= $197.9

Option A earns higher interest

Answer:

1 real solution (2)

Step-by-step explanation:

Answer:

one real solution

Step-by-step explanation:

8-4x=0

Add 4x to each side

8 = 4x

Divide by 4

8/4 = 4x/4

2 =x

There is one real solution

Step-by-step explanation:

I rectangle measures⅛(width)by 1/5(length). You have been asked to shade whose area is 3/5(w

length)by ⅞(width)

1)width=⅞÷1/8=7rectangles

2)length=3 /5÷1/5=3rectangles

thus shade 7rectangles along the width(sideways) and 3 rectangles along the length(downwards)

Answer:

4x+2= -6x+7

4x+6x=7-2

10x=5

x=1/2

Step-by-step explanation:

Answer:

[tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Step-by-step explanation:

The given quadratic equation is

[tex]x^2=5-x[/tex]

It is can written as

[tex]x^2+x-5=0[/tex]

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In the given quadratic equation [tex]a=1,b=1,c=-5[/tex]. So,

[tex]x=\dfrac{-1\pm \sqrt{1^2-4(1)(-5)}}{2(1)}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{1+20}}{2}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{21}}{2}[/tex]

[tex]x=\dfrac{-1+\sqrt{21}}{2},\dfrac{-1-\sqrt{21}}{2}[/tex]

Therefore, the values of x are [tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Answer:

4×3=12

Step-by-step explanation:

all i did was multiple 4 times 3 and i came up with my answer

Answer:

78 percent wider than higher

Step-by-step explanation:

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is y = mx + b

When we count rise over run, we get 1/1, or just 1. Also, the line is rising from left to right, so it is a positive slope.

y = x + b (you don't have to put 1x)

The line intersects the y-axis at 3

y = x + 3

I hope this helps :))

Answer:

y= -x+3

Step-by-step explanation:

looking at the graph, you can see that the equation is a negative, so the slope will be negative. On the Y-axis, the line goes through "3" making the y-intercept. The equation would be y=-3x+3, but you answer only give you y= -x+3

Yes, Xavier have enough track for a train with 15 cars because the cars will take up 2.4 meters, leaving them with an extra .1 meters of length.

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometres, or feet, or any other measure of length.

Given that, Xavier is building a model train. He has enough track for a train that is 2.5 meters long. We need to find if Javier have enough track for a train with 15 cars or not if each car will be 16 centimetres long

The length of each car is 16 cm

Therefore, length of 15 cars = 16 × 15 = 240 cm

Converting the units,

240 cm = 2.4 m

Since, The train is 2.5 m long, and he has enough track for it.

Hence, Yes, Xavier have enough track for a train with 15 cars because the cars will take up 2.4 meters, leaving them with an extra .1 meters of length.

For more references on unit conversion, click;

https://brainly.com/question/19420601

#SPJ5

Answer:

7p-3

Step-by-step explanation:

We are given the expression:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p

To simplify, we can combine like terms. Add all the terms with a variable, then add the terms without a variable.

(8p + 9p + 6p + 2p - 6p - 3p - 9p)+ -3

(25p -18p) -3

7p-3

Steps:

Group like terms:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p-3

Add similar elements:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p = 7p

=7p−3

Answer: =7p−3

Please mark brainliest

Hope this helps.

Answer:

x=3

Step-by-step explanation:

If the triangles are congruent

13 = 4x+1

subtract 1 from each side

13-1 = 4x+1-1

12=4x

Divide by 4

12/4 = 4x/4

3=x

Answer:

3

Step-by-step explanation:

If the two triangles are congruent then:

13=4x+1

13-1=4x+1-1

12=4x

x=3

Hope this helps!

Answer:

D. m³+m²

Step-by-step explanation:

If expression is 2m²-m²(7-m)+6m² then after distributing and combining like terms it will be:

2m² -7m²+m³+6m²

m²+ m³

Answer:

other guy is right

Step-by-step explanation:

edg. 2020

Answer:

D

Step-by-step explanation:

f(x) has a horizontal asymptote of -4 while g(x) has horizontal asymptote of zero, in both functions, y is closer to infinity as x is closer to negative infinity,

A and B are definitely incorrect

while x gets closer to infinity, in f(x) y gets closer to -4, while in g(x) y gets closer to 0, thus they have a different end behavior as x approaches infinity

So, C is wrong, since it says that they have the same end behavior as x approaches infinity

Thus, D is correct

Answer:

Find the area of every shape

12 x 9 = 108. Don't divide because there is two

12 x 14 = 168

14 x 9 = 126

15 x 14 = 210

108 + 168 + 126 + 210 = 612

____________________

2 x pi x radius x height + 2 x radius x radius x height

466.5

Step-by-step explanation:

Answer:

There are 3 A's and 2 N's so the answer is B.

Answer:

w^40

Step-by-step explanation:

(w^15/w^5)^4

Simplify inside the parentheses

a^b / a^c = a^(b-c)

(w^(15-5)) ^4

(w^10) ^4

We know a^b^c = a^(b*c

w^(10*4)

w^40

Answer:

w^40

Step-by-step explanation:

(w ^15/w^5)^4

w^15/w^5 = w^10 = (w^10)^4

Refine: w^40

Answer:

the largest number would be the sign that that number has

Step-by-step explanation:

I'm sorry about the confusion, but what is the question you're asking?

I would love to help though!

Answer:

The answer is D.

Step-by-step explanation:

The first step would be to multiply 3x^2 and x+2 which gives us D after distributed.

Answer:

98092718

Step-by-step explanation:

lets convert cubic yards to cubic meters

1 cubic meter=1.30790290586 cubic yard

there is an estimated amount of about 750,000,000*1.30790290586 cubic yards

750,000,000*1.30790290586= 980927179.395 cubic yards

now each truck can hold 10 cubic yards, so, divide 980927179.395 by 10

980927179.395/10=98092717.9395

round to the greatest whole number (there can't be any sediment left on Mt. Helens)

98092717.9395 to 98092718

we need 98092718 dump trucks to scoop it all up

1. 6^2

2. -5^4

3. 3^3

4. -4^3

5. a^3

6. 1/2^6

7. Base is -12 expanded is -12x-12 exponent is 2 standard form is 144

8. Base is 1/2 and expanded is 1/2x1/2x1/2 exponent is 3 standard form is 1/8

9. Base is -9 expanded is -9x-9x-9 exponent is 3 and standard form is -729

10. 8x8x8x8

11. -3x-3

12. 8x8

13. -7x-7x-7x-7x-7

14. 7x7x7

15. 3/4x3/4x3/4x3/4x3/4

1) [tex]6^{2}[/tex]

2) [tex]-5^{4}[/tex]

3) [tex]3^{3}[/tex]

4)[tex]-4^{3}[/tex]

5)[tex]a^{3}[/tex]

6)[tex]2^{6}[/tex]

7) Base= -12 Exponent=2 Expanded= (-12)(-12) Standard Form= -144

8) Base= [tex]\frac{1}{2}[/tex] Exponent= 3 Expanded= ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex]) Standard Form = [tex]\frac{1}{8}[/tex]

9) Base= -9 Exponent= 3 Expanded= (-9)(-9)(-9) Standard Form= -729

10) (8)(8)(8)(8)

11) (-3)(-3)

12) (8)8)

13)(-7)(-7)(-7)(-7)(-7)

14) (7)(7)(7)

15) ([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])

Answer:

i really dont know

Step-by-step explanation:

this is confusing

Answer:

Shift 1 unit to the right, i.,e. option (c).

Step-by-step explanation:

Note: Both functions can not be represented by f(x) and square is missing in basic function.

The given basic function is

[tex]f(x)=x^2[/tex]

The given function is  

[tex]g(x)=(x-1)^2[/tex]

So, the given function can be written in the form of basic form as

[tex]g(x)=f(x-1)[/tex]     ...(1)

The translation is defined as

[tex]g(x)=f(x+a)2+b[/tex]     .... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=-1,b=0[/tex]

Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).

Answer:

It C

Step-by-step explanation:

Answer:

a. b. c.

Step-by-step explanation:

As per picture one square= 2 circles

To keep balance same amount to be added to both sides

a. Adding two circles on the left and a square on the right

b. Adding 2 triangles to each side

c. Adding two circles on the right and a square on the left

d. Adding a circle on the left and a square on the right

e. Adding a triangle on the left and a square on the right

Answer:

y = x

Step-by-step explanation:

The graph of f(g(x)) is the straight line y = x.

Answer:

w=3

Step-by-step explanation:

[tex]4w(w-3)+(-5)(w-3)=(w-3)(4w+5)\\4w^{2} -12w-5w+15=4wx^{2} +5w-12w-15\\4wx^{2} -17w+15=4wx^{2} -7w-15\\4wx^2-10w+15=4wx^{2} -15\\4wx^{2} -10w=4wx^{2} -30\\-10w=-30\\w=3[/tex]

Answer:

>

Step-by-step explanation:

Put the fractions in decimal

0.25 is greater than 0.167. Therefore, 2/8 is greater than 1/6

You can also use common denominators

Answer:

D.

Step-by-step explanation:

If you calculate the rest of the equations, they all result in y being more than (or equal to) the rest of the inequalities. You are looking for an inequality where y is LESS than the other stuff.

Hope this [kinda] helps!

Answer:

D. Mr. X

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

All of them could represent something or someone, but Mr. X is the closest because X is usually used as a variable.