When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary line?

Answer:

5 seconds

Step-by-step explanation:

The speed of an object is the rate of distance over time. The value of time (t) at the greatest speed of the ball is at 2 seconds

First, we calculate the speed using:

[tex]Speed = \frac{h(t)}{t}[/tex] --- i.e. distance/time

At t = 0, h(t) = 5

So;

[tex]Speed = \frac{5}{0} = unde fine d[/tex]

At t = 3, h(t) = 12

[tex]Speed = \frac{12}{3} = 4[/tex]

At t = 6, h(t) = 15

[tex]Speed = \frac{15}{6} = 2.5[/tex]

At t = 9, h(t) = 11

[tex]Speed = \frac{11}{9} = 1.2[/tex]

At t = 12, h(t) = 6

[tex]Speed = \frac{6}{12} = 0.5[/tex]

At t = 15, h(t) = 0

[tex]Speed = \frac{0}{15} = 0[/tex]

By comparing the above values, we notice that as time and height increases, the value of speed reduces.

This means that the greatest value of speed will be at the least value of time (t).

From the given options, the least value of time is at:

[tex]t = 2[/tex]

Hence, the value of time (t) at the greatest speed of the ball is at 2 seconds

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Answer:

count the number of places it is. The 5 in 458,039 is in the 10,000 place and the 5 in 271,145 is in the ones place so the 5 in 458,039 is 10,000 times greater

Answer:

139°

Step-by-step explanation:

8x+51+6x-25=180

14x+26=180

14x=180-26

14x=154

x=154/14

x=11

<AOB= 8x+51 = 8(11)+51 = 88+51 = 139

Answer:

17/25

Step-by-step explanation:

The equation for the probability of two events that are not mutually exclusive is:

p(A ∨ B) = p(A) + p(B) - p(A ∧ B)

A = the number is prime

B = the number is prime

The numbers are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Here are the 8 prime numbers that satisfy event A:

3, 5, 7, 11, 13, 17, 19, 23

p(A) = 8/25

Here are the 13 numbers that are greater than 12 that satisfy event B:

13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

p(B) = 13/25

Here are the 4 numbers that satisfy both event A and event B:

13, 17, 19, 23

p(A ∧ B) = 4/25

p(A ∨ B) = p(A) + p(B) - p(A ∧ B)

p(A ∨ B) = 8/25 + 13/25 - 4/25

p(A ∨ B) = 17/25

The probability that the number drawn is prime or greater than 12 = [tex]\frac{18}{25}[/tex]

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

For given question,

In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25.

n(S) = 25

Let event A: the number drawn is prime

The prime numbers from 1 to 25 are:

2, 3, 5, 7, 11, 13, 17, 19, 23

So, n(A) = 9

The  probability that the number drawn is prime,

[tex]P(A)=\frac{n(A)}{n(S)}\\\\ P(A)=\frac{9}{25}[/tex]

Let event B: the number drawn is greater than 12

So, n(B) = 13

The probability that the number drawn is greater than 12,

[tex]P(B)=\frac{n(B)}{n(S)}\\\\ P(B)=\frac{13}{25}[/tex]

The number drawn is prime as well as greater than 12.

Such numbers are : 13, 17, 19, 23

n(A ∩ B) = 4

So, the probability that the number drawn is prime as well as greater than 12,

[tex]P(A\cap B)=\frac{n(A\cap B)}{n(s)}\\\\ P(A\cap B)=\frac{4}{25}[/tex]

Using the equation P(AUB) = P(A) + P(B) - P(A ∩ B) to find the probability that the number drawn is prime or greater than 12,

[tex]\Rightarrow P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\\Rightarrow P(A\cup B)=\frac{9}{25}+ \frac{13}{25} -\frac{4}{25} \\\\\Rightarrow P(A\cup B)=\frac{9+13-4}{25}\\\\ \Rightarrow P(A\cup B)=\frac{18}{25}[/tex]

Therefore, the probability that the number drawn is prime or greater than 12 = [tex]\frac{18}{25}[/tex]

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Answer:

No

97/1000 is the same as 97 divided by 1000

the decimal would be .097, not .97

Answer:

18 feet

Step-by-step explanation:

The distance of the center of the fountain from the enter edge is equal to the radius of the circular fountain.

Use the circumference formula, c = 2[tex]\pi[/tex]r, to find the radius.

c = 2[tex]\pi[/tex]r

112 = 2[tex]\pi[/tex]r

18 = r

So, to the nearest whole number, the distance between the center of the fountain and outer edge is 18 feet.

Answer:

diện tích đa giác trong hình là :

186 cm2

Step-by-step explanation:

hãy tách hình đa giác trên thành 4 hình chữ nhật và tính diện tích từng hình chữ nhật

Answer:

7 7/80 or 7.0875

Step-by-step explanation:

product is the result of multiplication

7/8 * 81/10 = 567/80 = 7 7/80 or 7.0875

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

26, 42, 68

Step-by-step explanation:

In the Fibonacci sequence, each number is equal to the sum of the two previous numbers. Denoting the sequence as a, we can say that

a₁=2

a₂=4

a₃=6

a₄=10

a₅=16

What we can see here is that each number a₃ or above is equal to the sum of its two previous numbers. For example, a₃ = a₁+a₂ = 2 +4 = 6

Therefore,

a₆ = a₄+a₅ = 10+16 = 26

a₇ = a₅+a₆ = 16 + 26 = 42

a₈ = a₆+a₇ = 26 + 42 = 68

Answer:

..?.

Step-by-step explanation:

Answer:

I think

A display order of numbers are called​ sequences.

Answer:

I think answer is E

Step-by-step explanation:

Step-by-step explanation:

No. The F test has a requirement that samples be from the normally distributed populations, regardless of how large the samples are.

The F-test simply shows whether the variances that are in the numerator and the denominator are equal. The F-test can be applied on a large sampled population.

One main assumption of the F test is that the populations where the two samples are drawn are normally distributed.

Regarding the question, it's important to note that when using the F test with these​ data, it's not correct to reason that there is no need to check for "normality".

It should be noted that the F test has a requirement that samples are from the normally distributed populations, regardless of how large such samples are.

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Answer:

32

Step-by-step explanation:

3(8(3)-5(2))-2((3)+(2))

3(24-10) -2(5)

3(14) -10

42-10

32

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{3(8a - 5b) - 2(a + b)}\\\\\huge\textsf{= 3(8(3) - 5(2)) - 2(3 + 2)}\\\\\huge\textsf{= 3(24 - 10) - 2(3 + 2)}\\\\\huge\textsf{= (3)(14) - 2(3 + 2)}\\\\\huge\textsf{= 42 - 2(3 + 2)}\\\\\huge\textsf{= 42 - 2(5)}\\\\\huge\textsf{= 42 - 10}\\\\\huge\textsf{= 32}}[/tex]

[tex]\huge\boxed{\textsf{Answer: 32}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer: It's probably going to be C. Just a hunch!

If you half a half, you will have 2 pieces.

THIS IS JUST A GUESS! THINK BEFORE YOU RISK!

Answer:

Its C

Step-by-step explanation:

because assume you have 2 squares, having the 1/2 is like cutting a square into 4 pieces.

Answer: 9 (2 mark question) and 18 (5 marks questions)

Step-by-step explanation:

Given: Total mark = 108

Let the 2 marks questions be x

Therefore 5 mark question = 2x

ATQ

⇒5(2x)+2(x) = 108

⇒10x+2x =108

⇒12x = 108

⇒x = 108/12

⇒x = 9

Total two mark questions are 9 and 5 mark questions are 18.

please click thanks and mark brainliest if you like :)

Answer:

4 3/5

Step-by-step explanation:

4/5 - (-3 4/5)

Subtracting a negative is like adding

4/5 + 3 4/5

3 8/5

3 5/5 + 3/5

3+1+3/5

4 3/5

Answer:

2m^3 + 3m^2

Step-by-step explanation:

8m^4+12m^3

---------------------

4m

2m^3 + 3m^2

Check

4m(2m^3+3m^2)

8m^4 + 12 m^3

The hypotenuse will always be the longest side of the triangle. Option C is correct: AB > DC.

AB is the hypotenuse of triangle ABC. Therefore, it is greater than leg AC. AC is the hypotenuse of triangle ACD. If AC is less than AB, then DC must also be less than AB because DC is less than AC.

Hope this helps!

Answer:

[tex]4x^2+4x+5[/tex]

Step-by-step explanation:

[tex]f(x)=5x^2-3\\g(x)=x^2-4x-8[/tex]

Set up an expression.

[tex]5x^2-3-(x^2-4x-8)[/tex]

Distribute the negative (-1)

[tex]5x^2-3-x^2+4x+8[/tex]

Solve / Simplify

[tex]4x^2+4x+5[/tex]

I'm late, but I hope this helps!

Hi there!

[tex]\large\boxed{u + xy = 98}[/tex]

We can do substitution to solve.

We are given the values of all of the letters, so:

u = 18

x = 10

y = 8

Substitute:

(18) + (10)(8)

Use the order of operations:

18 + 80 = 98

Step-by-step explanation:

u + xy

make u = 18

x = 10

y = 8

18 + 10 × 8

18 + 80

= 98

I hope this answers your question

Answer:

9/4 = 2 1/4

Hope this Helps!?

Answer: yes

Step-by-step explanation:

43093 is less than 43903

(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82

(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89

(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5

(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07

σ = √(σ²) ≈ 1.03

[tex]\\ \sf\longmapsto \dfrac{4}{m+m}\times \dfrac{4}{m-m}[/tex]

[tex]\\ \sf\longmapsto \dfrac{4\times 4}{(m+m)(m-m)}[/tex]

[tex]\boxed{\sf (a-b)(a+b)=a^2-b^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{16}{m^2-m^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{16}{0}[/tex]

[tex]\\ \sf\longmapsto \infty[/tex]

Answer:

(16-m^4)/m^2

Step-by-step explanation:

=([tex]\frac{4}{m}[/tex]+m)([tex]\frac{4}{m}[/tex]-m)

=[tex]\frac{4+m^2}{m}[/tex]*[tex]\frac{4-m^2}{m}[/tex]  (LCM)

[tex]\frac{16-m^4}{m^2}[/tex] (a-b)(a+b)

9514 1404 393

Answer:

  c. If a plane contains a line, it contains the points on the line.

Step-by-step explanation:

The only statement relating a point on a line to the plane containing the line is the one shown above.

_____

Additional comment

Identifying true statements is a reasonable strategy for many multiple-choice questions. Another strategy that can be employed is finding the one true statement that is relevant to the question being asked.

Answer:

5+39 this is the answer 5+39