What is the measure of Segment AB if Segment BD is 10?*

We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.

So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).

Note that position is represented only with distance units, like km.

And to get a velocity you use the units km/h  (that tell you how many kilometers your position changes in one hour).

Similarly, the rate of change of the velocity will be (velocity)/time.

(km/h)/h = km/h²

Which is kilometers per hour squared.

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10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

10101₂ = 16 + 0 + 4 + 0 + 1

10101₂ = 21

Here see below

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

Answer:

8 potatoes for $2.56 is the better deal.

Step-by-step explanation:

unit price formula; cost ÷ quantity

2.56 ÷ 8 = $0.32

4.32 ÷ 10 = 0.432

round to the nearest hundredth

= $0.43

compare the answers

Answe 42.2

Step-by-step explanation:

The other vender because he got 42.2 dollar other got 20.48

Answer:

The answer is 1

Step-by-step explanation:

1² = 1×1

= 1

2 - 1² = 2 - 1

= 1

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

(x + 1)²(x - 3)(x - 4) = 0

Equate each factor to zero and solve for x

x- 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3

(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then

x = - 1 with multiplicity 2

Answer:

Las dimensiones del rectángulo son:

lado corto: 5 cm

lado largo: 8 cm

Step-by-step explanation:

Consideraciones:

El perímetro de un rectángulo se calcula así:

p = 2(lado corto + lado largo)

El área de un rectángulo se calcula así:

a = lado largo * lado largo

Planteamiento:

26 = 2(a+b)

40 = a*b

a = lado largo

b = lado corto

Desarrollo:

de la primer ecuación del planteamiento:

26/2 = a+b

13 = a+b

13-a = b

sustituyendo este último valor en la segunda formula del planteamiento:

40 = a(13-a)

40 = 13*a + a*-a

40 = 13a - a²

-a² + 13a - 40 = 0

a = {-13±√((13²)-(4*-1*-40))} / (2*-1)

a = {-13±√(169-160)} / -2

a = {-13±√9} / -2

a = {-13±3} / -2

a₁ = {-13-3} / -2 = -16 / -2 = 8

a₂ = {-13+3{ / -2 = -10 / -2 = 5

Answer:

15 in

Step-by-step explanation:

d^2 = w^2 + l^2

25^2 = 20^2 + l^2

l^2 = 225

l = 15

Hi,

if it's 11:24, it wil be 12:13

✅(◠‿◕)

Answer: [tex]1.50x+3.50\leq 30[/tex]

Step-by-step explanation:

x represents how many miles after the pick-up. we add on 3.50 because that is the intial pick-up price. then the cost has to be under 30 because she only has 30 dollars

Answer:

w < 5/8

Step-by-step explanation:

Answer:  y ≤ (1/2)x + 3

Step-by-step explanation:

The slope is 1/2 and the y-intercept is 3.

The linear inequality represented by the graph is [tex]y \le \frac 12x + 3[/tex]

From the graph, we have the following highlights:

The first highlight implies that the inequality sign to use is ≤

The slope (m) is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{3 -4}{0-2}[/tex]

[tex]m = \frac{-1}{-2}[/tex]

[tex]m = \frac{1}{2}[/tex]

The y-intercept (b) is where the line crosses the y-axis:

b = 3

The linear inequality is represented as:

[tex]y \le mx + b[/tex]

So, we have:

[tex]y \le \frac 12x + 3[/tex]

Hence, the linear inequality is [tex]y \le \frac 12x + 3[/tex]

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28+29 = 57

=======================================================

Explanation:

n = first number

n+1 = second number

Add up those two items and set the result equal to 57. Solve for n.

first+second = 57

(n) + (n+1) = 57

2n+1 = 57

2n = 57-1

2n = 56

n = 56/2

n = 28

n+1 = 28+1 = 29

The two consecutive whole numbers are 28 and 29

28+29 = 57

Answer:

28 and 29

Step-by-step explanation:

Given values:

1st number = n

2nd number = n+1

n + n + 1 = 57

2n + 1 = 57

2n = 56

n = 28

n+1 = 29

Answer: 28 and 29

The Matching of the inequality is

x ≤ 7.8 -> (-∞,7.8]

x < 7.8 -> (-∞,7.8).

x > 7.8 -> (7.8,∞)

x ≥ 7.8 -> [7.8,∞).

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

1. x ≤ 7.8

Here the value of is less than equal to 7.8 which means starting from -∞ to 7.8

Thus, the interval is (-∞,7.8]

2. x < 7.8

Here the value of is less than 7.8 which means starting from -∞ to less than 7.8.

Thus, the interval is (-∞,7.8).

3. x > 7.8

Here the value of is greater than 7.8 which means starting from 7.9 to ∞.

Thus, the interval is (7.8,∞)

4. x ≥ 7.8

Here the value of is greater than equal to 7.8 which means starting from 7.8 to ∞.

Thus, the interval is  [7.8,∞).

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Answer:

1

Step-by-step explanation:

5(x+1) = 12

5(x+1) = 5x + 12

5(x+1) = 5x + 5

5(x=1) = 0

what one is an infinite solution

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

x=8

Step-by-step explanation:

open the brackets to be

6x-6=42

then collect like tems

6x=48

x=8

Answer:

2.05

Step-by-step explanation:

To find the Median value, we begin by sorting Or arranging our numbers In ascending Or descending order.

-8.8,-5.7,-2.6,0.5,3.6,6.7,9.8,11.9

Having an even (8) number of values, the median is the midway point between the two middle numbers.

In our case the two middle numbers are 0.5 and 3.6

(0.5+3.6)/2

Median=2.05 (In words: two && 5/100)

Answer:

equation: 41+4x=45.80

answer: x=1.20

Step-by-step explanation:

The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Let's denote the number of gigabytes of data Nathaniel can use as x.

Then the equation representing his cell phone bill can be set up as:

Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)

$45.80 = $41 + ($4 × x)

Now, we can solve for x:

$4 × x = $45.80 - $41

$4 × x = $4.80

x = $4.80 / $4

x = 1.2

So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

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Answer: I would need a picture of the possible graphs.

Answer:

it is an open circle on 20.2 and is going to the left

Step-by-step explanation:

I hope this helps :)

Answer:

549440

Step-by-step explanation:

777^2 = 603729

223^2 = 54289

603729 - 54289 = 549440

Answer:

(16+25)×47

Step-by-step explanation:

..........

Answer:

C

Step-by-step explanation:

it makes sense yah?

Answer:

C) Three fourths of the fish he caught were less than 50.5 pounds

Half the perimeter is the length + the width

62/2 = 31

Area = length x width

16 + 15 = 31, 15 x 16 = 240

17 + 14 = 31, 17 x 14 = 238

20 + 11 = 31,  20 x 11 = 220

Answer: 20 meters x 11 meters

Answer:185 guests

Step-by-step explanation: it can only hold 185 guests no more.

Answer:

B

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Then

f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B