Imagine a weight swinging back and forth on the end of a string. In a perfect situation, the weight would swing back and forth forever without stopping. If that were the case, how could you model the distance of the weight from the center over time? What would a graph of that model look like? What type of function could you use to create this model? What are some other types of situations you could model similarly?

Answer:

4

Step-by-step explanation:

54 x 40 = 2160 L

2160 ÷ 600 = 3.6 = 4

The number of the cartons of 600 mL will be 4.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The school tuck-shop has milk in 600 mL and 1 liter cartons.

If there are 54 cartons and 40 L of milk in total.

The number of the cartons of 600 mL will be

⇒ 54 x 40

⇒ 2160 L

The number of cartons will be

⇒ 2160/600

⇒ 3.6

⇒ 4

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

4

Step-by-step explanation:

(9 x 2/3) x 2/3

9x 2 = 18

18/3 = 6

6 x 2 = 12

12/3 = 4

(9 x 2/3) x 2/3 = 4

Answer:

4

Step-by-step explanation:

(3 times 2) times 2/3

6 times 2/3

2 times 2

=4

Answer:

is this science or math ?

Step-by-step explanation:

Answer: 28 pairs

Step-by-step explanation:

12 times 5 is 60, so she has 60 pairs in total. She gives 32 pairs to one son, so 60-32 is 28. The other son receives 28 pairs of socks.

Answer:

[tex]\huge\boxed{\sf(2, -5)}}[/tex]

Step-by-step explanation:

Hello.

The x-coordinate is always the first, so find the x-axis and count down.

Remember, the x-axis is horizontal (like this: ------------------->)

The x-coordinate of Dallas is 2.

Now, the y-axis is vertical.

Find it and count down.

The y-coordinate is -5.

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

Math is hard.i do not know this

Answer:

Step-by-step explanation:

7x-11=4x+4(being vertically opposite angles)

7x-4x=4+11

3x=15

x=15/3

x=5

angle 2+angle1=180 degree(being straight line)

7x-11+angle 1=180

7*5-11+angle 1=180

35-11+angle1=180

24+angle 1=180

angle 1=180-24

angle 1=156 degree

Answer:

the answer is 2,95

Answer:

634.931315 ounces

Step-by-step explanation:

Like that

Answer:

9400 lol I hope its right but I'm not sure how I got it tho i hope it help

The end behavior of the parent function is consistent.

As x approaches infinity, the y-values slowly get larger, approaching infinity. As x approaches 0 from the right (denoted as x → 0+), the y-values approach negative infinity.

Answer:

x = 25

Step-by-step explanation:

ΔBDR ~ ΔQDC

so

(24 + 40)/(15 + x) = 40/x

or

(24 + 40)/40 = (15 + x)/x

24/40 + 40/40 = 15/x + x/x

3/5 + 1 = 15/x + 1

3/5 = 15/x

Cross multiply,

3x = 15*5 = 75

x = 75/3 = 25

Answer:

it is 4+4/2

Step-by-step explanation:

you use pemdas which is

parenthesis, exponents, multiplication, division, addition, and subtraction.

now you go from left to right so if you see division before multiplication then you will do division first because addition and subtraction and multiplication and division are equal so multiplication is not more important than division and addition is not more impirtant than subtraction.

so basically you do 4/2 which is 2

and

4+2=6

Hi!

We are given the information found in the picture below.

Note: The directions aren't correct, but the triangle works for this problem.

The "direct path" is the hypotenuse of this triangle.

To find this, we use the Pythagorean Theorem, where [tex]a[/tex] and [tex]b[/tex] are 2 legs of the triangle, and [tex]c[/tex] is the hypotenuse, aka the longest side of any triangle:

[tex]a^2+b^2=c^2[/tex]

We know [tex]a[/tex] and [tex]b[/tex] and want [tex]c[/tex]

[tex]4^2+5^2=c^2[/tex]

[tex]16+25=c^2[/tex]

[tex]41=c^2[/tex]

Therefore, [tex]c[/tex] is approximately [tex]6.403[/tex]

Marina could use for the third side of the triangular sandbox the option: C - 7.25 ft.

In mathematic, there is a rule for triangle side lengths. This rule says that the sum of the lengths of any two sides of a triangle is greater than the length of the one side (third side).  Therefore,

                                       [tex]L_1+L_2 > L_3\, (1)\\ \\ L1+L_3 > L_2\, (2)\\ \\ L_2+L_3 > L_1\, (3)[/tex]

The question gives two sides: 3 ft (L1) and 7.25 ft (L2), applying the equation (1) of rule for triangle side lengths, you have:

                                          [tex]L_1+L_2 > L_3\\ \\ 3+7.25 > L_3\\ \\ 10.25 > L_3\\ \\ L_3 < 10.25[/tex]

The options for answer are: 4.25ft, 10.25ft,  7.25ft and 3ft. According to triangle inequality [tex]L_3 < 10.25[/tex], hence, the letter B is not the answer.

After that, you can apply equations (2) or (3) for testing the options. For solution below, it was used the equation (2).

                                 [tex]L_1+L_3 > L_2\\ \\ 3+4.25 > L_2\\ \\ 7.25 > L_2\\ \\ L_2 < 7.25[/tex]

The second side is exactly equal to 7.25, according to the rule this side should be less than 7.25. Therefore, the option 4.25 ft is not the answer.

                                 [tex]L_1+L_3 > L_2\\ \\ 3+7.25 > L_2\\ \\ 10.25 > L_2\\ \\ L_2 < 10.25[/tex]

The question informs that the second side is 7.25 ft. Then 7.25 < 10.25, so the option 7.25 ft is the answer.

You can continue to test the last option, but it is not necessary since you have already found the corrected answer.

                                 [tex]L_1+L_3 > L_2\\ \\ 3+3 > L_2\\ \\ 6 > L_2\\ \\ L_2 < 6[/tex]

The second side is equal to 7.25, hence, the option 3 ft is not the answer.

Read more about the triangle inequality theorem here:

https://brainly.com/question/2403556

Answer:

[tex]\lbrace 6,\, 12,\, 16 \rbrace[/tex].

[tex]\lbrace 8,\, 10,\, 14 \rbrace[/tex],

[tex]\lbrace 8,\, 10,\, 17\rbrace[/tex],

[tex]\lbrace 8,\, 14,\, 17 \rbrace[/tex], and

[tex]\lbrace 10,\, 14,\, 17 \rbrace[/tex].

Step-by-step explanation:

In a triangle, the sum of the lengths of any two sides must be strictly greater than the length of the other side. In other words, if [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] (where [tex]a,\, b,\, c > 0[/tex]) denote the lengths of the three sides of a triangle, then [tex]a + b > c[/tex], [tex]a + c > b[/tex], and [tex]b + c > a[/tex].

Additionally, if [tex]a,\, b,\, c > 0[/tex], [tex]a + b > c[/tex], [tex]a + c > b[/tex], and [tex]b + c > a[/tex], then three line segments of lengths [tex]\text{$a$, $b$, and $c$}[/tex], respectively, would form a triangle.

Number of ways to select three numbers out of a set of four distinct numbers:

[tex]\begin{aligned} \left(\begin{matrix}4 \\ 3\end{matrix}\right) &= \frac{4!}{3! \, (4 - 3)!} \\ &= \frac{4 \times 3 \times 2 \times 1}{(3 \times 2 \times 1) \times (1)} \\ &= 4\end{aligned}[/tex].

In other words, there are four ways to select three numbers out of a set of four distinct numbers.

For [tex]\lbrace 4,\, 6,\, 12,\, 16\rbrace[/tex], the four ways to select the three numbers are:

Among these choices, [tex]\lbrace 6,\, 12,\, 16\rbrace[/tex] satisfies the requirements: [tex]6 + 12 > 16[/tex], [tex]16 + 6 > 12[/tex], and [tex]12 + 16 > 6[/tex]. Thus, three line segments of lengths [tex]\lbrace 6,\, 12,\, 16\rbrace\![/tex] respectively would form a triangle.

The other three combinations do not satisfy the requirements. For example, [tex]\lbrace 4,\, 6,\, 12\rbrace[/tex] does not satisfy the requirements because [tex]4 + 6 < 12[/tex]. The combination [tex]\lbrace 4,\, 12,\, 16\rbrace[/tex] does not satisfy the requirement for a slightly different reason. Indeed [tex]4 + 12 = 16[/tex]. However, the inequality in the requirement needs to be a strict inequality (i.e., strictly greater than "[tex]>[/tex]" rather than greater than or equal to "[tex]\ge[/tex]".)

Thus, [tex]\lbrace 6,\, 12,\, 16\rbrace[/tex] would be the only acceptable selection among the four.

Similarly, for [tex]\lbrace 8,\, 10,\, 14,\, 17 \rbrace[/tex], the choices are:

All four combinations satisfy the requirements.

Step-by-step explanation:

Let's solve your system by elimination.

3k−4m=−1;2k+3m=12

Multiply the first equation by 3,and multiply the second equation by 4.

3(3k−4m=−1)

4(2k+3m=12)

Becomes:

9k−12m=−3

8k+12m=48

Add these equations to eliminate m:

17k=45

Then solve17k=45for k:

17k=45

----

17k

=17

45

17

(Divide both sides by 17)

k=

45

17

Now that we've found k let's plug it back in to solve for m.

Write down an original equation:

3k−4m=−1

Substitute

45

17

forkin3k−4m=−1:

3(

45

17

)−4m=−1

−4m+

135

17

=−1(Simplify both sides of the equation)

−4m+

135

17

+

−135

17

=−1+

−135

17

(Add (-135)/17 to both sides)

−4m=

−152

17

−4m

−4

=

−152

17

−4

(Divide both sides by -4)

m=

38

17

Answer:

k=

45

17 and m=

38

17

Answer: Hope this helps :D

the answer is 300000 cm3

Step-by-step explanation:

Answer: I would say 2/3

Step-by-step explanation:

U can see that 2/3 is almost a whole (3/3) while 2/4 is just halfway there

Or

you can turn 2/4 and 2/3 to a decimal

2/4 = 0.5

2/3 = 0.666

0.5 < 0.666

2/4 < 2/3

hope this helps

Answer:

2/3

Step-by-step explanation:

2/3 is greater because 2/4 = 1/2 and 2/3 is a bit greater than 1/2.

Answer:Four heads trust me.

Answer:

y-intercept:  (0, 75) ⇒ y = 75

x-intercepts:  (3, 0) and (5, 0) ⇒ x = 3 and x = 5

vertex: (4, -5)

Step-by-step explanation:

Let the x-axis be the ground (when y = 0).  Therefore underground when y < 0 and overground when y > 0

The function is a quadratic:  f(x) = ax² + bx + c

If the coaster enters the tunnel three seconds after the first descent starts and stays in the tunnel for a total of 2 seconds, then y = 0 when x = 3 and x = 5

Also, when x = 1, y = 40

Solve 2 equations simultaneously:

⇒ a = 5  b = -40  c = 75

⇒ f(x) = 5x² - 40x + 75

y-intercept

when x = 0

⇒ f(0) = 5(0²) - 40(0) + 75 = 75

⇒ y-intercept = (0, 75)

x-intercepts

x = 3 and x = 5

Vertex

If the x-intercepts are when x = 3 and x = 5, then vertex is when x = 4

⇒ f(4) = 5(4²) - 40(4) + 75 = -5

⇒ vertex = (4, -5)

Answer:

There's no picture I can't help sorry

Step-by-step explanation:

Answer:

add the pic??

Step-by-step explanation:

Answer:

231.04

Step-by-step explanation:

Answer:

229.14

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer:

of the question is in the simple 0.45

Answer:

sector area: 113.3

Step-by-step explanation:

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.1813 = 18.13% probability that a person selected at random will score between 240 and 270 on the test.

b) 0.4501 = 45.01% probability that the mean score for the sample will be between 240 and 270.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

The probability is the p-value of Z when X = 270 subtracted by the p-value of Z when X = 240, hence:

X = 270:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{270 - 250}{65}[/tex]

[tex]Z = 0.31[/tex]

[tex]Z = 0.31[/tex] has a p-value of 0.6217.

X = 240:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{240 - 250}{65}[/tex]

[tex]Z = -0.15[/tex]

[tex]Z = -0.15[/tex] has a p-value of 0.4404.

0.6217 - 0.4404 = 0.1813.

0.1813 = 18.13% probability that a person selected at random will score between 240 and 270 on the test.

Item b:

We have a sample of 7, hence:

[tex]n = 7, s = \frac{65}{\sqrt{7}} = 24.57[/tex]

X = 270:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{270 - 250}{24.57}[/tex]

[tex]Z = 0.81[/tex]

[tex]Z = 0.81[/tex] has a p-value of 0.7910.

X = 240:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{240 - 250}{24.57}[/tex]

[tex]Z = -0.41[/tex]

[tex]Z = -0.41[/tex] has a p-value of 0.3409.

0.7910 - 0.3409 = 0.4501.

0.4501 = 45.01% probability that the mean score for the sample will be between 240 and 270.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Answer:

third from top down

Step-by-step explanation:

We can think of f(x) as y

y = 3 if x ≥ 3, y coordinate is always 3, while x coordinate starts at 3 inclusive and goes on toward +∞

y = -1 if x ≤ -1, y coordinate is always -1, while x coordinate starts at -1 inclusive and goes on toward - ∞

Answer:

9

Step-by-step explanation:

5 x 9 is 45 plus 5 gives you 50

Answer:9

Step-by-step explanation:

5*9=45

45+5=50

Answer: y=-5x-36

Step-by-step explanation:

In order for two lines to be parallel they need to have the same slope. so the slope (m) of the new line needs to be -5.

slope(m) =-5

and the point (-8,4) is given to us. we can create a new equation for a line using the point slope formula because we have a slope (m=-5) and a point (-8,4)

point slope formula: y-y1=m(x-x1)    

y-4=-5(x--8)

simplify and pay attention to negative signs

y-4=-5(x+8)

y-4=-5x-40

y=-5x-36

:)