what is the length of de
A. 2
B. 3
C. 4
D. 5

Answer:

[tex]t > 5[/tex]

Step-by-step explanation:

Given

[tex]a = 15[/tex] ---- Initial

[tex]r = 3[/tex] --- rate

Required

The inequality that represents people more than 3000

The given parameters show a geometric sequence and will be calculated using:

[tex]T_t = ar^{t-1[/tex]

Where t is the number of days

For the people to be more than 3000, the expression becomes:

[tex]ar^{t-1} > 3000[/tex]

Substitute values for a and r

[tex]15 * 3^{t-1} > 3000[/tex]

Divide both sides by 15

[tex]3^{t-1} > 200[/tex]

Take log of both sides

[tex]Log3^{t-1} > Log200[/tex]

Apply law of logarithm

[tex](t-1)Log3 > Log200[/tex]

Make t - 1 the subject

[tex]t - 1 > \frac{Log200}{Log3}[/tex]

[tex]t - 1 > 4.82[/tex]

Add 1 to both sides

[tex]t - 1 +1> 4.82 +1[/tex]

[tex]t > 5.82[/tex]

Round down

[tex]t > 5[/tex]

Answer:

324, -972, 2916

Step-by-step explanation:

Divide a number by the previous number to find r.

r = -12/4 = -3

Multiply a number by r to find the next number.

-108 * (-3) = 324

324 * (-3) = -972

-972 * (-3) = 2916

Answer: 324, -972, 2916

Answer:

1.  (1 : -3) is the common ratio

2.   324, 972, 2916

answer is 30°

50-20=30°

hope it helps

Answer:

7.5 or 15/2

Step-by-step explanation:

x-3x+6=2x-24 -- Combine like terms

-2x+6=2x-24 -- Add 2x to each side

6 = 4x-24 -- add 24 to each side

30 = 4x -- divide by 4

15/2 or 7.5 = x

Answer:

4 times, he bought dinner 4 times

Step-by-step explanation:

if kevin get paid for 3 hours, then you would multiply $14 by 3. you would end up with $42, then the weekly allowance is $21. then by adding $21 to the $42 we have you would get $63. then a bus ride costs $2.50 and since he rode it 6 times you would multiply $2.50 by 6, which would equal $15. Then subtracting $15 from the $63, you would end up with $48, and then by dividing the total amount for the dinner each time bought, so $12/$48 would equal to 4 times.

Answer:

Step-by-step explanation:

The mean of the data is 31 hours and the median of the data 27.2 hours.

24 of the families in the sample turned on the television for less than 16 hours for the week.

The 7th percentile = 16 hours

Step 1:

The median is a value that divides the whole data into two equal parts. It implies that the median represents the 50th percentile of the data.

Given that the median is 27.2 hours, thus the 54th percentile should be greater than 27.2 hours.

Thus, the given statement is false.

Step 2:

Let assume that N is the total number of families

24 of the families in the sample turned on the television for less than 16 hours for the week.

The 7th percentile = 16 hours

It means that 7% of N = 24

N = 24/0.07

N = 343

Step 3:

From (2), N = 343

Given that median= 27.2 hours.

It means 200 families turned on their television for less than 27.2 hours.

We don't know if this is true for 35 hours. 100 families may use less than 35 hours and 200 may use more than 35 or vice versa. In addition to that, even 50 families might use less than 35 and 350 may use more than 35 hours.

Hence, the statement is false.

Step 4:

The median is the 50th percentile value which is = 27.2 hours

Step 5:

The statement is false

The 25th percentile is the first quarter of the data and if the 7th percentile is 16 hours, then the 25th percentile should be greater than that.

Answer:

(-1, 1)

Step-by-step explanation:

Multiply f(x) or y value by -2, so (-1, 2) -> (-1, -4)

Add 5 to the f(x) or y value since it is a vertical translation, so (-1, -4) -> (-1, 1)

answer below,

Answer:

20% shaded. 1/5 in simplist form

Answer:

x = -10

Step-by-step explanation:

2(x+3) = x-4 --> multiply (x+2) times 2

2x+6 = x - 4 --> subtract x from both sides

x+6 = -4 --> subtract 6 from both sides

x = -10

Answer:

x = -10

Step-by-step explanation:

Simplify both sides of the equation.

2 (x+3) = x − 4

(2) (x) + (2) (3) = x + −4 (Distribute)

2x + 6 = x + − 4

2x + 6 = x − 4

Subtract x (1x) from both sides

2x + 6 − x = x − 4 − x

x + 6 = − 4

Subtract 6 from both sides

x + 6 − 6 = − 4 − 6

x = -10

Answer:

100.8 cm squared

Step-by-step explanation:

a right triangle is half a rectangle so multiply base x height then divide by 2

12.6x16=201.6

201.6/2=100.8

Answer:

105.84

Step-by-step explanation:

Multiply the height of the triangle (in this case 12.6) by the base (16.8) then divide by 2.

Answer:

3

Step-by-step explanation:

Answer:

67.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

There are many ways you can do this. You could, for example, prove this by using just one diagram and do the algebra for that one diagram. Or you could use both diagrams and equate them. I'll do the latter.

Left Diagram

c^2 + the 4 small triangles surrounding c^2 gives

c^2 + 4 * (1/2 * a * b)

Right Diagram

2 * a * b + a^2 + b^2

By the symmetry of the situation, you can find the area of the figures in each diagram. Since a in the left is equal to a on the right, and since b on the left = b on the right, the areas are equal.

Solution

c^2 + 4(1/2 a*b)  = 2 * a * b + a^2 + b^2

c^2 + 2*a*b = 2* a * b + a^2 + b^2

c^2 = a^2 + b^2  

Notice that the 2ab on the left cancels out with the 2ab on the right.

The distance between (3,1) and (0,1) is 2. So option C is the right answer. The distance can be calculated by using formula Distance= Sq.root (x2-x1)^2+(y2-y1)^2)

Given two points are (3,1) and (0,1)

Distance= Sq.root (x2-x1)^2+(y2-y1)^2)

Here x2=1, x1=3, y2=1, y1=0

Distance=Root (1-3)^2+(1-1)^2

=sq.Root(4)

The root of 4 is 2

=2

Therefore distance between (3,1) and (0,1) is 2

To learn more about distance between two points click here: https://brainly.com/question/16319826

#SPJ2

Answer:

it y= - 8x

Step-by-step explanation:

Answer:

2^10

Step-by-step explanation:

When multipying indices, if the base is the same then just add the indices.

Answer:

20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

m³ - (n + 6 · m) + 4n

m = 2, n = 8

Step 2: Evaluate

Answer:

6    23.2    40.4     57.6    74.8      92

Step-by-step explanation:

92-6 = 86

86/5 spaces = 17.2 each

Answer:

im not sure sorry! lol

Step-by-step explanation:

sorry!

Answer:

one is for structure, two is for being able to move around, and three is to cover joints or sum like that

Step-by-step explanation:

Answer:

idc if u get the belt, that's what u get anyway, LOL GET RICKROLLED!!

Step-by-step explanation:

Answer:

A- 3 3/4

Step-by-step explanation:

15*1/4= 3 3/4......

Answer:

Answer is C) Angle G is congruent to Angle L

Answer:

The answer would be 3b + 20 = t

Step-by-step explanation:

I think the question is referring to the total cost per month to be a member.

Since it costs 20$ monthly no matter what, that price will always stay the same per month.

However, it also costs $3 per book purchased. This price may not always stay the same, because you could buy a different number of books each month, and the price would be different. The cost for books depends on the number of books you buy, which is not stated in the question.

That is why you replace the number of books with a variable, in this case b.

So the equation would be 3b + 20 = t , with 3 being the cost per book, b being the number of books, 20 being the monthly cost, and t being the total amount per month.  

Answer:

Step-by-step explanation:no more than

Answer:

$10 + $2m

m = 1 mile that Jana bikes.

Step-by-step explanation:

4.25 + 1.25m + 5.75 + 0.75m

Add like terms

10 + 2m

Answer:

Step-by-step explanation:

u = 9√2

Answer:

[tex]9\sqrt{2}[/tex]

Step-by-step explanation:

Hello There!

The hypotenuse of a 45-45-90 triangle is equal to x[tex]\sqrt{2}[/tex] (in this case 9)

so u would equal [tex]9\sqrt{2}[/tex]

Answer:

x - 5y = 5

Step-by-step explanation:

Let's represent the equation of the graph in slope-intercept form, y = mx + b.

We'd need to find slope (m) and y-intercept (b) of the graph.

Slope (m) = ∆y/∆x

Using two points on the line, (0, -1) and (5, 0),

Slope (m) = (0 - (-1)) / (5 - 0) = 1/5

m = ⅕

y-intercept (b) is the point on the y-axis where the line intercepts the y-axis = -1

Therefore, b = -1

To write the equation, substitute m = ⅕ and b = -1 into y = mx + b

Thus:

y = ⅕(x) + (-1)

y = ⅕(x) - 1

Rewrite in standard form:

-⅕x + y = -1

Multiply both sides by -5

-⅕x*-5 + y*-5 = -1*-5

x - 5y = 5