The graph represents the heights of two climbers on a climbing wall over a 12-minute time period.

A graph titled The Climbing Wall where the horizontal axis shows time (minutes), numbered 1 to 12, and the vertical axis shows height (feet) numbered 2 to 24. The line labeled Brynn's climb begins at 0 feet in 0 minutes, to 15 feet from 5 to 7 minutes, to 0 feet in 10 minutes. The line labeled Abby's climb begins at 4 feet in 0 minutes, to 14 feet from 4 to 6 minutes, to 22 feet in 8 minutes, to 0 feet in 12 minutes.

Which statement is true about the climbers’ heights?

Brynn was resting at a constant climbing height when Abby’s climbing height was decreasing.
Abby’s climbing height was decreasing when Brynn’s climbing height was increasing.
The heights of both climbers increased, then decreased, with no rest at a constant height.
Both climbers rested on the wall at a constant height for 2 minutes.

Answer:

[tex]6:14=3:7[/tex]

Step-by-step explanation:

There are 6 blue marbles and 14 red marbles, so the ratio of blue marbles to red marbles [tex]=6:14=3:7[/tex]

Answer:

- 10.6 %   per hour

Step-by-step explanation:

By 'continuous rate'   I assume you mean linear  bacteria/hour

40 000 - 47 000 = - 30 000  bacteria  in 5 hours

- 30 000 bacteria / 5 hours =   - 6000 bacteria per hour

But then you ask for percentage....so maybe you want an exponential rate

then     40 000 = 70 000 ( 1 - x)^5      

            where x = decimal percentage , 5 = years

         solve for x = 10.588 %    DECREASE  per hour      

The number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults is 1691.

The true proportion of the population is not given, so we assume it to be 0.5, that is, p = 0.5.

Hence, q = 1 - p = 1 - 0.5 = 0.5.

Confidence level given = 90%.

Z-Score corresponding to 90% confidence interval (Z) = 1.645.

We are asked to find the sample size (n) when we want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults, that is, standard error (E) = 2% = 0.02.

By the formula of standard error, we know:

E = Z√[{p(1 - p)}/n].

Substituting the values, we get

0.02 = 1.645√[{0.5*0.5}/n]

or, 0.0004 = 2.706025*0.25/n

or, n = 2.706025*0.25/0.0004 = 1691.265625‬ ≈ 1691 {Since the sample size has to be a whole number}.

Thus, the number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults is 1691.

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The diagram of two similar triangles to complete the proportion is; Height of Person/Height of flower = Length of a person's shadow/Length of flowers' shadow.

From the concept of similar triangles, we know that If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor.

Applying this similar triangles theorem to our question, we can say that;

Height of a person/length of a person's shadow = Height of flower/length of a flower's shadow

We can rewrite this to get;

Height of Person/Height of flower = Length of a person's shadow/Length of flowers' shadow.

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

[tex]\huge\textbf{Assuming equation:}[/tex]

[tex]\mathbf{2x + x = 3}[/tex]

[tex]\huge\textbf{Solving for the equation:}[/tex]

[tex]\mathbf{2x + x = 3}[/tex]

[tex]\mathbf{2x + 1x = 3}[/tex]

[tex]\huge\textbf{Combine the like terms:}[/tex]

[tex]\mathbf{(2x + 1x) = 3}[/tex]

[tex]\mathbf{(2x + x) = 3}[/tex]

[tex]\mathbf{2x + x = 3}[/tex]

[tex]\mathbf{3x = 3}[/tex]

[tex]\huge\textbf{Divide 3 to both sides:}[/tex]

[tex]\mathbf{\dfrac{3x}{3} = \dfrac{3}{3}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{x = \dfrac{3}{3}}[/tex]

[tex]\mathbf{x = 3\div3}[/tex]

[tex]\mathbf{x = 1}[/tex]

[tex]\huge\textbf{Answer:}[/tex]

[tex]\huge\boxed{\mathsf{x = 1}}\huge\checkmark[/tex]

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

The total number of persons that are ion Tracy's English class is given as 21.

We have the Venn diagram showing that there are 14 people in English

15 people in history

While there is a number of 7 students intersecting the two subjects.

Hence the people that attend both history and English are 7.

From here we would know that an English class would be made up of 14 + 7 persons

= 21 persons.

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The 15 cm side is equivalent to the y centimeter side.

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

So from the given question the given figure can be inferred which is attached below

The "y" side of the parallelogram corresponds to the bigger side of the parallelogram, as seen in the figure, and the "x" side corresponds to the shorter side.

Since "y" relates to the longer side and the longer side is 15 cm, the 15 cm side is equivalent to the y centimeter side.

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Answer:

Standard deviation = 5.1

Mean = 13

Median = 14

Step-by-step explanation:

The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation

The mean of a set of numbers is the sum divided by the number of terms.

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Step-by-step explanation:

So it's important to define what parallel is. If one line is parallel to another line, it will never intersect the other line. This means the two lines must be changing by the same amount simultaneously. In other words, they have the same slope. It's also important to remember that same slope doesn't mean they're parallel. You also have to look at the y-intercept. If they have the same y-intercept, and the same slope, then they're the same line. So two lines are only parallel, if the slopes are the same and they have different y-intercepts.

So now that you understand what's parallel let's look at some of the problems

1. So this is kind of tricky, because as I mentioned before, parallel lines have the same slope, but in this case a slope cannot be defined. For two vertical lines to be parallel, they just have to have different a different x-constant. Because x is what's constant, and if they're different, then the two lines will never intersect. This gives us the general formula for a vertical parallel line: [tex]x=a\text{ where a} \ne3[/tex] (this is specific to this problem, since the constant in the graph is x=3). Since the parallel line must pass through (-5, -4) this means that the constant for x, must be -5, because the x is constant, if it equals anything else, it will never equal -5. So the parallel line in this case will be: [tex]x=-5[/tex]

2. So the equation is already in slope-intercept form, so we don't have to solve for the slope. The slope in this case is 8, which can be determined by looking at the formula. This gives us the general formula for the parallel line: [tex]y=8x+b\text{ where b}\ne 4[/tex]. b cannot equal 4, because if it did, then we would have two lines that are the same, not parallel, otherwise b can be anything else. Since we have a point that the parallel line goes through, we can plug this in as (x, y) to solve for b: [tex]21=8(4)+b \implies21=32+b\implies -11=b[/tex]. So now this gives us the complete equation: [tex]y=8x-11[/tex]

3. The image is a bit low quality, although from what I can see the linear equation intersects the origin (0, 0) and (4, -1). This gives us the equation for the slope -1/4 (rise/run). which gives is the slope -1/4. So this gives us the general equation: [tex]y=-\frac{1}{4}x+b \text{ where b} \ne0[/tex]. b cannot equal 0, since it would then have the same y-intercept, meaning the two lines would be the same. In this case we also get some coordinates which we can plug into the equation to solve for b: [tex]-5=-\frac{1}{4}(12)+b\implies -5=-3+b\implies-2=b[/tex]. This gives us the complete formula: [tex]y=-\frac{1}{4}x-2[/tex]

4. This is similar to the vertical line, as there is a constant value, but in this case a slope can be defined, and that slope is 0; it's 0 for all horizontal lines. So we have the general equation: [tex]y=0x+b \text{ where b}\ne4[/tex]. This can be simplified to: [tex]y=b \text{ where b} \ne4[/tex]. Since the line passes through (13, -7), that means b must equal -7, because the y does not depend on x. It's a constant value. So you have the equation: [tex]y=-7[/tex]

5. [tex]y-6=\frac{3}{5}(x+5)[/tex]. So in this case we have the point-slope form. We don't need to convert it to the slope-intercept form, since all we need to form the parallel line is the slope, sort of. You technically do need the y-intercept, so you know what b cannot equal, so that you don't have the same line, but I'm assuming, the coordinates they're giving you, do not pass through the original line, but rather a parallel line. So we have the general equation: [tex]y=\frac{3}{5}x+b[/tex]. Plugging the given coordinates give you the equation: [tex]8=\frac{3}{5}(0)+b \implies8=b[/tex]. You didn't really need to do this, since if you noticed the coordinates have x=0, which means the y-value by definition is what b is equal to, since b is the y-intercept. So this gives you the equation: [tex]y=\frac{3}{5}x+8[/tex]

Answer:

4.7

Explanation:

A point is positioned at minus two, seven. At one, zero, you'll find point R. Determine the value of Y. Regarding point Q. That is 2/3 of the distance between points P. So, negative two becomes positive seven. So, we have minus twenty-seven and 1 common zero. So, if we place a line between these, we must calculate the distance. First, you should be aware that you may achieve this using the distance formula. I prefer to conceive of it as the Pythagorean Theorem. So, the distance is 3^2 and 7^2, which is D^2. So, 9+49=58. And, we'll take the square root of it. As a result, the square root of 58=D. And, you want to be 2/3 the distance between points P and B. So, divide this by 2/3. So, this is close to 5.1. But, you want to get the Y value; found the distance, 2/3 of the way. When the distance is 5.1 instead of round 7.6, we've arrived at point P. We want to be 5. 1 yard away on this line. This is point P and we want to be at point Q. Since it'll have the same slope. As a result, the slope will be 7/3. So, it'll be proportionate 7. Since the square root of fifty-eight is too large. Route 58/3 is the destination. The square root of 258 is canceled. Such that 7=3y/2. 7x2=14/3=4.7. It's by locating comparable figures.

Answer:

8 seconds

Step-by-step explanation:

When it hits the water h = 0

0 = -16t^2 + 116t + 96                   ( I corrected the equation in the question)

solve for 't' using quadratic formula   t = 8   s    ( and - .75 s <===throw out)

By applying the property of similar triangles, the distance Amana from point A to B walked is: B. 226 ft.

By critically observing the diagram (see attachment), we can deduce that two (2) similar triangles were formed by the First Ave. and Second Ave.

By applying the property of similar triangles, the distance Amana walked is given by:

(AB + 113)/113 = (280 + 140)/140

(AB + 113)/113 = 420/140

(AB + 113)/113 = 3

AB + 113 = 3 × 113

AB + 113 = 339

AB = 339 - 113

AB = 226 ft.

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Answer: B. 226 ft.

Step-by-step explanation:  Trust Me! I got it correct on Edge.  

[tex]\cos^{4} x-\sin^{4} x\\\\=(\cos^{2} x+\sin^{2} x)(\cos^{2} x-\sin^{2} x)\\\\=\cos^{2} x-\sin^{2} x\\\\=\cos^{2} x-(1-\cos^{2} x)\\\\=2\cos^{2} x-1[/tex]

Answer:

Brand A

Step-by-step explanation:

Comment

The question is  one of finding out what the unit cost is.

Brand A: $4.59 has a count of 40

Brand B: $3.99 has a count of 30

Brand A

unit = 4.59 / 40 = 0.115

Rounded: 0.12

Brand B

unit = 3.99 / 30 = 0.133

rounded: 0.13

Brand A even with proper rounding is the better buy

Answer:

  Brand A

Step-by-step explanation:

The cost comparison can be done a variety of ways. The most formal of solutions will calculate the cost per bag for the two brands.

The cost for 10 bags of Brand B is $3.99/3 = $1.33. The cost for 10 more bags (40 bags instead of 30) of Brand A is $4.59 -3.99 = $0.60. This is less than the $1.33 it would cost to buy 10 more bags of Brand B, so ...

  Brand A is the better buy

The cost per bag is found by dividing the cost by number of bags:

  Brand A: $4.59 / (40 bags) = $0.11475 per bag

  Brand B: $3.99 / (30 bags) = $0.133 per bag

13¢ per bag is more than 11¢ per bag, so Brand A is the better buy.

Answer:

Y - (2,1)

X - (2,4)

W - 5,5)

V - (5,0)

Step-by-step explanation:

Translation: (x,y) → (x+7,y+5)

Coordinates:

Y(−5,−4) => (-5 + 7, -4 + 5) => (2,1)

X(−5,−1) => (-5 + 7, -1 + 5) = > (2,4)

W(−2,0) => (-2 + 7, 0 + 5) => (5,5)

V(−2,−5) => (-2 + 7, -5 + 5) => (5,0)

A number which is 17 less than 10,004:

     =9987

Hope it helps!

The function f(x) is shown in the graph is (a) an exponential function

From the graph, we can see that:

Only exponential functions have the above features

Hence, the function f(x) is shown in the graph is (a) an exponential function

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The graph is misleading because it doesn't begin at zero and the graph starts on Mon.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have a line graph shown in the picture that represents the stock price over a 5 - day period.

As we can see in the graph,

The graph starts on the Mon and price was $11.4(approximated)

Examples of "classic" deceptive graphs include those in which the vertical scale is off, skips digits, or doesn't begin at zero.

Thus, the graph is misleading because it doesn't begin at zero and the graph starts on Mon.

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Considering the volume of a rectangular prism, the limitations are given as follows:

Upper: 500, Lower: 0.

The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

For the toy, the dimensions are of 1 inch, hence:

V = 1 x 1 x 1 = 1 inch³.

For the box, the dimensions are of 10 x 10 x 5 inches, hence:

V = 10 x 10 x 5 = 500 inches³.

500/1 = 500, hence the upper limit is of 500, while the lower limit is of 0.

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Answer:

its a 2640 trust me

Step-by-step explanation:

The second part of Rita's race is about 1800 meters at a speed of 150 meters per minute.

let

Distance in second Part:

d₃ = 15 x 300

= 4500 m

d₂ = 2/5 × d₃

= 2/5 x 4500

d₂ = 1800 meters

Speed in second part:

S₂ = 1800 m / 12 min

S₂ = 150 meters per minute

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Answer:

4

Step-by-step explanation:

it takes four equations

Answer:

7.5 hours

Step-by-step explanation:

16 mph = 16 miles per hour

how much time does he spend commuting to, and returning from, work each day = 60(2) = 120 miles

120/16

= 7.5 hrs

Answer:

6.6

Step-by-step explanation:

1 kilogram to pounds is 2.2 lbs

therefore, 3kg= 2.2× 3 lbs= 6.6 lbs

Answer:

approximately 6.6 lb

Step-by-step explanation:

1 kg equals approximately 2.2 lb.

Therefore (multiplying both sides by 3) we get

3 kg equals approximately 6.6 lb

The slope of a straight line passing through the points (-4, 2) and (8, 5) is 1/4.

The slope of a straight line measures the rate of change of variable 'y' with respect to independent variable 'x'. Mathematically -

m = (y₂ - y₁)/(x₂ - x₁) = tan Ф

Given is a line that passes through the points (-4, 2) and (8, 5).

The slope of a straight line passing through two points is given by -

m = (y₂ - y₁)/(x₂ - x₁)

The coordinates given are (-4, 2) and (8, 5).

Substituting them in the formula, we get -

m = (y₂ - y₁)/(x₂ - x₁)

m = (5 - 2)/(8 + 4)

m = 3/12

m = 1/4

Therefore, the slope of a straight line passing through the points (-4, 2) and (8, 5) is 1/4.

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Answer:

1/7  

Step-by-step explanation:

Divide the top and bottom by 4 to get

1 / 7

Answer:

1/7

Step-by-step explanation:

4 and 28 are divisible by 4.

4/4 = 1

28/4 = 7

4/28 = 1/7

Answer: As graphed below.

Hope this helps ♥️

Answer:

(f-g) (x) = 2x – 1 - log(x)

Step-by-step explanation:

f(x) = 2x – 1

g(x) = log x

We are given the two function and want to subtract g(x) from f(x)

(f-g) (x) = 2x – 1 - log(x)

The fewest reported number of text messages sent, given the data is 62 (Option B)

The fewest number in a given data is simply defined as the smallest number in the data.

Considering the data given from the question, we can see that the smallest number in the data is 62

Thus, 62 is the fewest number in the data.

Therefore, the correct answer to the question is 62 (Option B)

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Complete question

The Box-and-Whisker Plot shown displays the number of text messages sent during the previous week. What is the fewest reported number of text messages sent? 62, 74, 82, 90, 99

A. 82

B. 62

C. 74

D. 90

Answer:

48 minutes long

Step-by-step explanation:

For a total amount of minutes the lessons are, take 4x60. 4 for the total time in the lessons and 60 for 60 minutes in an hour. 4x60= 240 minutes.

Take 240/5. 240 is the total number of minutes and with the five lessons being the same amount of time, you divide the total number of minutes by the number of lessons. 240/5= 48 minutes