what is an equivalent ratio

The correct order from least to greatest is -16, -14, -12, 0, 13, 17. The number farthest to the right on the number line is 1, and 'finding -5' means locating the number -5 on a number line.

The question involves ordering numbers from least to greatest and finding the position of a number on a number line. To order numbers from least to greatest, you look for the smallest or most negative number and move towards the largest or most positive number. When placed on a number line, negative numbers are to the left of zero, and positive numbers are to the right of zero. Therefore, the correct order from least to greatest is -16, -14, -12, 0, 13, 17.

Moreover, the number farthest to the right on a number line from the options given is 1 because it is the greatest number listed and is positioned to the right of all the other numbers.

Finally, to 'find -5', it simply means to locate the number -5 on the number line. It is negative, so it will be to the left of zero.

To find the unit rate of the parachutist's change in height, we divide the total distance descended (64 feet) by the total time (4 seconds). This yields a unit rate of 16 feet per second.

In order to calculate the unit rate of this parachutist's descent, we need to set up a fraction with the total distance descended over the overall time. In this case, the parachutist descends 64 feet in 4 seconds.

We then solve for the unit rate by dividing the distance descended (64 feet) by the time it took to descend (4 seconds). So, the calculation would be 64 ÷ 4 = 16.

So, the unit rate of the parachutist's change in height is 16 feet per second.

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Answer: 12 (C)

Step-by-step explanation: Im a "Meme Dealer" but not yours.

Answer: (1.5, 0)

Step-by-step explanation:

Given : The shape of his satellite can be modeled by [tex]y^2=6x[/tex] where x and y are modeled in inches.

Now,the given equation [tex]y^2=6x[/tex] is a equation of parabola.

Here, coefficient of x is positive, hence the parabola opens rightwards.

On comparing this equation with standard equation [tex]x^2=4mx[/tex], we get

[tex]4m=6\\\Rightarrow\ m=\frac{6}{4}=1.5[/tex]

In standard equation, coordinates of focus=(m,0)

Thus for given equation coordinates of focus=(1.5,0)

Answer:

Answer: (1.5, 0)

Step-by-step explanation:

Answer:

$397.50

Step-by-step explanation:

$450×5%=22.5 (Tax)

$450+22.5=$472 (Full Price of Item)

$472-$75=$397.5 (With Rebate)

final answer=$397.5

Answer: 64 gallons

hope it helps XD :))

height = sqrt (26^2 - 10^)

10^2 = 100

26^2 = 676

 sqrt ( 676-100)=

sqrt(576) = 24

 height is 24 ft

Answer:

Option 4 that is tan x will be undefined at x=pi/2 radians

Step-by-step explanation:

[tex]\frac{\pi}{2}radians=90^{\circ}[/tex]

In case 1:

We have cos x

[tex]\text{Cos x has value 0 at x}=\frac{\pi}{2}radians[/tex]

Therefore the function is defined hence, option 1 is discarded.

In case 2:

We have cot x and

[tex]cot x=\frac{cos x}{sin x}[/tex]

Since, [tex]\text{cos x at x}=\frac{\pi}{2}\text{radians is 0}[/tex]

And [tex]\text{sin x at x}=\frac{\pi}{2}\text{radians is 1}[/tex]

Hence,[tex]cot x=\frac{0}{1}=0[/tex]

Hence, defined and Option 2 is discarded.

In case 3:

We have csc x and

[tex]csc x=\frac{1}{sin x}[/tex]

Since, [tex]\text{sin x at x}=\frac{\pi}{2}\text{radians is 1}[/tex]

Hence,[tex]csc x=\frac{1}{1}=1[/tex]

Hence, defined and Option 3 is discarded.

In case 4:

We have tan x and

[tex]tan x=\frac{sin x}{cos x}[/tex]

Since, [tex]\text{cos x at x}=\frac{\pi}{2}\text{radians is 0}[/tex]

And [tex]\text{sin x at x}=\frac{\pi}{2}\text{radians is 1}[/tex]

Hence,[tex]tan x=\frac{1}{0}=\infty[/tex]

Hence, undefined and Option 4 is correct.

Let us first assign variables. We say that:

X = number of marigold plants

Y = number of sunflower plants

n = number of months

We can see that in the given problem, X is decreasing by a percentage, this means that we have to set-up a geometric equation while for Y the decrease is linear so we set-up an arithmetic equation.

Part A.

For marigold plants X, a geometric sequence has a general form of:

X = Xo * (1 + r)^n

where r = -15% = -0.15   (negative since it is decreasing)

Xo = the initial amount of marigold plants = 150

X = 150 * (1 – 0.15)^n

X = 150 (0.85)^n

For the sunflower plants Y, an arithmetic sequence has a general form of:

Y = Yo + d * n

where d = -8 and Yo = 125

Y = 125 – 8 n

Part B. For n = 3

X = 150 (0.85)^3 = 92.12 = 92

Y = 125 – 8 (3) = 101

Part C. From Part B we see that the two values are very far from each other when n = 3, therefore they must be similar when n < 3. So we try n = 2

X = 150 (0.85)^2 = 108.38 = 108

Y = 125 – 8 (2) = 109

Therefore the two plants have approximately similar amount after 2 months.

Final answer:

The smallest value in the provided stem-and-leaf plot is 2, corresponding to the lowest stem of 0 with the lowest leaf of 2.

Explanation:

The student's question is asking for the smallest value displayed in a provided stem-and-leaf plot. The stem-and-leaf plot shows numbers divided into stems (tens place) and leaves (ones place), which tells us unique values in the dataset. In this case,

STEM | LEAVES
0         | 2 3 3 7
1         | 0 0 7
3         | 4 4 5 5

According to the provided key, which states that '3 | 5' means '35', we can see that the smallest stem is '0' and the smallest leaf in the '0' stem row is '2', combining these gives us the smallest value in the plot. Therefore, the smallest value in the stem and leaf plot is 2, which corresponds to option A: 2.