For which of the following geometric series can the infinite sum be determined? a1 = –0.25, r = –3 a1 = 0.75, r = 4 a1 = 3, r = 2 a1 = 5, r = –0.5

Answer:

Step-by-step explanation:

The amount of the discount is ...

  20% of $70 = 0.20·$70 = $14 . . . discount

The discounted amount is ...

  $70 -14 = $56 . . . discounted price

Answer:

The momentum for the truck and cargo is 150000 kg·km/h

Step-by-step explanation:

p = mv

p = (2000 kg + 1000 kg)(50 km/h)

p = (3000 kg)(50 km/h)

p = 150000 kg·km/h

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

Answer:

y = -4x+2

Step-by-step explanation:

To find a perpendicular line, the slope would be -4.

y=-4x

Since the point it has to go through is (0,2), the y-intersept is already given.

y = -4x+2

The required coefficient is 11,-4 and 0.

Given expression is,

[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)[/tex]

we have to find the coefficient of the above expression.

ON solving the above expression,

[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=4x^{2} y^{3} +2xy^2-2y+7x^2y^3-6xy^2+2y[/tex]

[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=11x^2y^3-4xy^2+0y[/tex]

Hence from the above expression, it is clear that the coefficient of [tex]x^2y^3[/tex] is 11,[tex]xy^2[/tex] is -4 and [tex]y[/tex] is 0.

For more details on coefficient follow the link:

https://brainly.com/question/10702726

Answer:

107.5

Step-by-step explanation:

20% of 70 = 14

70 - 14 = 66

10% of 45 = 4.5

45 - 4.5 = 41.5

66 + 41.5 = 107.5

Answer:

Let the third side be x

We know that

Sum of two sides of a triangle must be greater than the third side

So,

9 + 3 > x

12 > x (1)

Also, difference of two side of triangle must be smaller than the third side

9 - 3 < x

6 < x (2)

From 1 and 2 we concluded

6 < x < 12

The length of third side would lie between 7 to 11

Answer:

a = 8

Step-by-step explanation:

First find the equation of line using

y-y1=m(x-x1) --- m=slope = 7 and x1= -6 and y1= 1

y-1=7(x-(-6))

y-1=7x+42

y=7x+43

now let x be -5 to find y which is a

y=7(-5)+43

y=-35+43

y=8

so a = 8

Answer:

[tex] \sf \: w = 0.001[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of w.

The equation is,

→ 0.399 + w = 0.4

Then the value of w will be,

→ 0.399 + w = 0.4

→ w = 0.4 - 0.399

→ [ w = 0.001 ]

Hence, the answer is 0.001.

Answer:

1.1875

Step-by-step explanation:

19.00/16 is =1.1875

Answer:3125 muffins

Step-by-step explanation:

Answer:

3 + 9x = 11x - 7

simplify

9x + 3 = 11x - 7

subtract 11x from both sides

-11x             -11x

-2x + 3 = -7

get rid of constants first by subtracting by 3 from both sides

-3            -3

-2x = -10

divide both sides by -2 since that is the inverse operation of multiplication

/-2    /-2

X = 5

Answer:

x=5

Step-by-step explanation:

Hi, first the thing to do here is simple,

step 1, collecting like terms

3+9x=11x-7

11x-9x=3+7

2x=10

then divide both by 2.

x= 5

Answer:

[tex]\huge\boxed{5,6}[/tex]

Step-by-step explanation:

The fraction 26/5 can be simplified to 5 and 1/5, which is between the numbers 5 and 6.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

Have you ever had a dream that, that, um, that you had, uh, that you had to, you could, you do, you wit, you wa, you could do so, you do you could, you want, you wanted him to do you so much you could do anything?

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

There's not enough information. We need to know how often the interest is compounded. I'll assume it's yearly. If not, you can apply the same method to what it actually is.

If it's compounded yearly that means it's going to be compounded 5 times so the equation becomes.

5*(300*4%)

which is:

5*(300*.04)

which becomes:

5*12

Which is:

$60

Answer:

70

Step-by-step explanation:

because 15 divided by 3 is 5+2=7 and 7 x 10=70

Answer: Image A

Step-by-step explanation:

math

Answer:

A

Step-by-step explanation:

Answer:

multiplying 14/15 by 5 then dividing by 7

The sum of polynomials involves adding the polynomials

The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

The sum of the polynomials is given as:

[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]

One of the polynomials is given as:

[tex]P = 4y^2 - 3[/tex]

Represent the other polynomial with Q.

So, we have:

[tex]P +Q =Sum[/tex]

Substitute the expressions for P and Sum

[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]

Make Q the subject

[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]

Evaluate like terms

[tex]Q =y^3 -y^2+ 4y - 1[/tex]

Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

Read more about polynomials at:

https://brainly.com/question/1487158

Answer:

m=2

Step-by-step explanation:

The common ratio for the given geometric sequence, written as a fraction is [tex]\frac{5}{8}[/tex]

Given the following geometric sequence:

To determine the common ratio for the given geometric sequence:

The common ratio of a geometric sequence refers to the ratio or constant factor between two (2) consecutive numbers in the sequence.

Mathematically, the common ratio of a geometric sequence is given by the formula:

[tex]C=\frac{T_{n+1}}{T_n}[/tex]

Substituting the given parameters into the formula, we have;

[tex]C = \frac{300}{480} \\\\C=\frac{30}{48} \\\\C=\frac{5}{8}[/tex]

Read more: https://brainly.com/question/13162487

Answer:

15

Step-by-step explanation:

Answer:

y=[tex]\frac{1}{5}[/tex]x is linear

Step-by-step explanation:

4x-3y=7y+2x

collect like terms

4x-3y-7y-2x=0

2x-10y=0

simplify

x-5y=0

rewrite it in slope intercept form

y=[tex]\frac{1}{5}[/tex]x which is the equation for a straight line

Answer:

  B. slope -5, y-intercept (0, 7)

Step-by-step explanation:

The y-intercept is the first (x, y) pair shown in the table: (0, 7). (This eliminates choices C and D.)

The slope is ...

  change in y / change in x

  (-13 -7) / (4 -0) = -20/4 = -5 . . . slope

This matches choice B.

Answer:6 . 625 or 6 5/8

Step-by-step explanation

10 + (-3 3/8)         (adding a negative is like subtracting a positive)

10 - 3 3/8

6 5/8

Answer:  D)   Undefined

Explanation:

The equation y = 1 is the same as y = 0x+1

Match that to the form y = mx+b to see that the slope is m = 0

Any horizontal line has a slope of 0.

Notice that we cannot apply the negative reciprocal to this because 0 = 0/1 leads to 1/0 which is undefined

The slope of any vertical line is undefined because we have run = 0 and slope = rise/run = 1/0. The rise can be any number you want (it doesn't have to be 1) and we get the same result.

The slope of a line that is perpendicular to the line y = 1 is undefined.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The equation y = 1 is the same as y = 0x+1

Match that to the form y = mx+b to see that the slope is m = 0

Any horizontal line has a slope of 0.

y = 1 is an vertical line.

The slope of any vertical line is undefined because we have run = 0 and slope = rise/run = 1/0.

= Undefined

Hence,  the slope of a line that is perpendicular to the line y = 1 is undefined.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7