A ladder is leaning against a vertical wall. The distance from the top of the ladder to the base of the wall is 17 feet. The distance from the base of the wall to the bottom of the ladder is 7 feet. What is the length of theladder (nearest tenth)?

If a tractor with a 24-inch diameter wheel travels 4 miles, the wheel will make approximately 211,200 revolutions.

To calculate the number of wheel revolutions, we need to determine the distance covered by each revolution of the wheel and then divide the total distance traveled by the tractor by that distance. The circumference of a circle is calculated by multiplying its diameter by π (pi), which is approximately 3.14159. In this case, the diameter of the wheel is 24 inches, so its circumference would be 24 × 3.14159 = 75.398 inches.

Next, we need to convert the distance traveled by the tractor from miles to inches. Since 1 mile is equal to 63,360 inches (12 inches in a foot and 5,280 feet in a mile), we can calculate that 4 miles would be equal to 253,440 inches.

To find the number of revolutions, we divide the total distance traveled by the circumference of the wheel: 253,440 inches ÷ 75.398 inches per revolution = approximately 3,360 revolutions. Therefore, the wheel on the tractor would make approximately 3,360 revolutions if the tractor travels 4 miles.

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Answer: c

Step-by-step explanation:

A is 190 divided by 125

B is 190 multiplied with 125 (product of the two numbers)

D is the sum of 190 and 125 (addition)

the difference will be found by subtracting the smaller number from the bigger number

Answer:

A.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

c. Quadrant III

Step-by-step explanation:

just took test on edg, I got a 100%

Answer:

C.

Step-by-step explanation:

Jennifer made $59.

$22.50 times 2 is $45 and $2.75 times 3 is $8.25, the sum of these numbers is $53.25.

$5 plus $0.75 is $5.75, and the sum of $5.75 plus $53.25 is exactly 59 dollars.

If this is incorrect, please, don't refrain to tell me.

The probability of an event happening is calculated by possible events divided by total events.

From a standard deck of 52 cards, there are 13 spades.

So the possible events are 13 and the total events are 52

This will be:

prob = 13/52 = 1/4

The answer is 1/4

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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The answer is: (x-3)(x-1)(x+2)

Because the first term is x^3, it means that there must be 3 independent x's multiplying by each other. From there you just have to est what numbers to pair them with. If that doesn't make sense let me explain more:If you have x^2 it will be:(x + y) (x + z) If you have x^3 it will be: (x + y) (x + z) (x + g) If you have x^4 it will be: (x + y) (x + z) (x + g) (x + f) etc; now all you have to do after you pick which one it matches with, it just find what the value of y, z, and g are through trial and error. I am not showing all my trial and error because it is long to type out, easier to just explain the process.

Answer:  y = -320

Steps:  ³⁄₂y + 12 = ⁷⁄₅y - 20

Subtract 12 from both sides:  ³⁄₂y + 12 - 12 = ⁷⁄₅y - 20 - 12

Simplify: ³⁄₂y = ⁷⁄₅y -32

Subtract ⁷⁄₅y from both sides: ³⁄₂y -  ⁷⁄₅y = ⁷⁄₅y -32 -  ⁷⁄₅y

Simplify: ⅒y = -32

Multiply both sides by ten: 10  ·  ⅒y = 10  · -32

Simplify: y = -320

Plz mark brainliest:)

Answer:(10-8)

Step-by-step explanation:

10-8=2

32/2 =16

16/2= 8

8-3=5

The slope of the given equation of the line is -0.8 and the y-intercept = 0.4.

Given: y = -0.8x + 0.4

As we know that the slop-intercept form of the equation of a line is given by: y = mx + c, where

On comparing the given equation of line with the above form of equation of line, we get: m = -0.8 and c = 0.4.

Hence, The slope of the given equation of the line is -0.8 and the y-intercept = 0.4.

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200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer: 3

Explanation:

3^2 + 12 - 6 = 5^2 - 13 + (?)

start with 3^2 or 3x3 giving us 9 then we add 12 to it 9+12=21 subtract 6. 21-6=15 then we have to make the next part equal 15 so we start off by seeing how much we have so 5^2 or 5x5=25 then subtract 25-13=12 so that means we have to see what we need to add to this to make it 15 which is 3 so that means your answer is 3

3^2 + 12 - 6 = 5^2 - 13 + 3

Answer:

not perpendicular

Step-by-step explanation:

perpendicular line has opposite reciprocal slope

√3x-2√3 y=13

-2√3y=13-√3x

y=-13/(2√3)+√3 x/2√3

y=1/2 x-13/2√3  ( slope is 1/2)

6x-3y+11=0

-3y=-11-6x

y=-11/-3+6x/3

y=2x+11/3 slope =2

y - 90 -  1/9 = 12.45 Step-by-step explanation: i think so if im incorrect

Answer:

Step-by-step explanation:

LA (Lateral area) = P (perimeter of the base) x h (distance between bases)

LA = 3 x 2

LA = 6

SA (surface area) = LA (Lateral area) + (2 x B (Area of the base))

SA = 6 + (2 x 0.25)

SA = 6.5m²

Answer:

7

Step-by-step explanation:

if you imagine the shape in your head, there would be 3 rectangles and 2 triangles.

so if you want the surface area of the entire shape, you have to add the areas of each of these sides

the area of 1 triangle is (1*1)/2 = 0.5

the area of 1 rectangle is more complicated:

you would have to work out the rectangles height, which is the hypotenuse of the triangle. so you use Pythagoras, and you get 1 (if you don't know how to do this search up Pythagoras theorem)

so now you can get the area of the rectangle: 1*2 = 2

3 rectangles : 2*3 = 6

2 triangles : 0.5 * 2 = 1

6+1 = 7

tbh I'm not sure if you need to do all of this since it does say "estimate" but I'm not sure how you would estimate it.

The probability that the randomly choosen sample contains less than 2 guppies is:

P  = 0.234

The probability will be equal to the sum between the probability of selecting 0 guppies and 1 guppi.

35% of the fish in the tank are guppies, then the probability of not selecting one of them is:

p = (0.65)^7  = 0.049

And the probability of selecting one is:

q = (0.65)^6*(0.35)*7 = 0.185

Then the probability that the sample contains less than 2 guppies is:

P = p + q = 0.049 + 0.185 = 0.234

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(i) Yes, it is even and divisible by 3 as 1 + 0 + 2 = 3

(ii) No, it does not end in 5 or 0

What are Divisibility Rules?

Divisibility criteria can be used to determine whether or not to diminish a fraction. The rules are based on patterns seen while listing the multiples of any integer.

Solution:

(i) 102 is divisible by 6 - TRUE

It is because 102 is even number thus, it is divisible by 2 and since the sum of digits 1 + 0 + 2 is 3 therefore, it is divisible by 3

- Yes, it is even and divisible by 3 as 1 + 0 + 2 = 3

(ii) 102 is divisible by 5 - FALSE

It is because any number to be divisible by 5 it should always end with 5 or 0 at ones place.

- No, it does not end in 5 or 0

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Answer:

4.85

Step-by-step explanation:

All u have to do is add 3.75 and 1.1 if u do that the sum will be 4.85

Answer:

0.264 mm

Step-by-step explanation:

Number of sheets = 1000

Thickness of entire sheet = 264 mm

The thickness of the sheet is :

Thickness of entire sheet / number of sheets

264 mm / 1000

= 0.264 mm

Answer:

6.1

Step-by-step explanation:

anything 5 and over you round to one, so .08 turns into .1 :) glad i could help

The given decimal number is rounded to the nearest tenth as 6.1.

The given decimal number is 6.08.

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

Here, in 6.08 digit in the hundredths place is 8, which is greater than 5.

So, the digit in the tens place increased by 1 and digits after tens place becomes zero.

That is, 6.10

Therefore, the given decimal number is rounded to the nearest tenth as 6.1.

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A coefficient is a numerical value that is used to indicate the strength of a relationship between two variables in a mathematical equation. we can find if they are negative or positive by observing the sign in front of them.

Generally speaking, positive coefficients indicate a positive relationship between the two variables, meaning that as one variable increases, the other variable increases as well. Negative coefficients, on the other hand, indicate a negative relationship between the two variables, meaning that as one variable increases, the other variable decreases.

In addition to the sign of the coefficient, the magnitude of the coefficient can also be used to determine the strength of the relationship between the two variables. A larger coefficient indicates a stronger relationship, while a smaller coefficient indicates a weaker relationship.

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Answer:

-3(2x-4) or -6x+12

Step-by-step explanation:

Area is H*W

theres no value for x so that would be it, unless there is then all you do is plug that into the answer I put.

The correct answer is:

(a) about 4% of the variation in y has been explained by the model.

The answer is (a) about 4% of the variation in y has been explained by the model.

The coefficient of determination (R-squared) is given as 0.03579295, which represents the proportion of the total variation in the dependent variable (calculus achievement scores) that is explained by the independent variable (algebra placement test scores) in the model.

Since R-squared is the square of the correlation coefficient (multiple R), we can also interpret the value of multiple R as the correlation between the two variables. In this case, multiple R is given as 0.18919025, indicating a weak positive correlation between the two variables.

The adjusted R-squared is negative (-0.2856094), which suggests that the model is not a good fit for the data. However, the question specifically asks for the proportion of variation in the dependent variable that is explained by the model, which is represented by R-squared. Therefore, the answer is (a) about 4% of the variation in y has been explained by the model.

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Let A(t) denote the amount of salt (in ounces, oz) in the tank at time t (in minutes, min).

Salt flows in at a rate of

\(\dfrac{dA}{dt}_{\rm in} = \left(17 (1 + 15 \sin(t)) \dfrac{\rm oz}{\rm gal}\right) \left(8\dfrac{\rm gal}{\rm min}\right) = 136 (1 + 15 \sin(t)) \dfrac{\rm oz}{\min}\)

and flows out at a rate of

\(\dfrac{dA}{dt}_{\rm out} = \left(\dfrac{A(t) \, \mathrm{oz}}{180 \,\mathrm{gal} + \left(8\frac{\rm gal}{\rm min} - 8\frac{\rm gal}{\rm min}\right) (t \, \mathrm{min})}\right) \left(8 \dfrac{\rm gal}{\rm min}\right) = \dfrac{A(t)}{180} \dfrac{\rm oz}{\rm min}\)

so that the net rate of change in the amount of salt in the tank is given by the linear differential equation

\(\dfrac{dA}{dt} = \dfrac{dA}{dt}_{\rm in} - \dfrac{dA}{dt}_{\rm out} \iff \dfrac{dA}{dt} + \dfrac{A(t)}{180} = 136 (1 + 15 \sin(t))\)

Multiply both sides by the integrating factor, \(e^{t/180}\), and rewrite the left side as the derivative of a product.

\(e^{t/180} \dfrac{dA}{dt} + e^{t/180} \dfrac{A(t)}{180} = 136 e^{t/180} (1 + 15 \sin(t))\)

\(\dfrac d{dt}\left[e^{t/180} A(t)\right] = 136 e^{t/180} (1 + 15 \sin(t))\)

Integrate both sides with respect to t (integrate the right side by parts):

\(\displaystyle \int \frac d{dt}\left[e^{t/180} A(t)\right] \, dt = 136 \int e^{t/180} (1 + 15 \sin(t)) \, dt\)

\(\displaystyle e^{t/180} A(t) = \left(24,480 - \frac{66,096,000}{32,401} \cos(t) + \frac{367,200}{32,401} \sin(t)\right) e^{t/180} + C\)

Solve for A(t) :

\(\displaystyle A(t) = 24,480 - \frac{66,096,000}{32,401} \cos(t) + \frac{367,200}{32,401} \sin(t) + C e^{-t/180}\)

The tank starts with A(0) = 15 oz of salt; use this to solve for the constant C.

\(\displaystyle 15 = 24,480 - \frac{66,096,000}{32,401} + C \implies C = -\dfrac{726,594,465}{32,401}\)

So,

\(\displaystyle A(t) = 24,480 - \frac{66,096,000}{32,401} \cos(t) + \frac{367,200}{32,401} \sin(t) - \frac{726,594,465}{32,401} e^{-t/180}\)

Recall the angle-sum identity for cosine:

\(R \cos(x-\theta) = R \cos(\theta) \cos(x) + R \sin(\theta) \sin(x)\)

so that we can condense the trigonometric terms in A(t). Solve for R and θ :

\(R \cos(\theta) = -\dfrac{66,096,000}{32,401}\)

\(R \sin(\theta) = \dfrac{367,200}{32,401}\)

Recall the Pythagorean identity and definition of tangent,

\(\cos^2(x) + \sin^2(x) = 1\)

\(\tan(x) = \dfrac{\sin(x)}{\cos(x)}\)

Then

\(R^2 \cos^2(\theta) + R^2 \sin^2(\theta) = R^2 = \dfrac{134,835,840,000}{32,401} \implies R = \dfrac{367,200}{\sqrt{32,401}}\)

and

\(\dfrac{R \sin(\theta)}{R \cos(\theta)} = \tan(\theta) = -\dfrac{367,200}{66,096,000} = -\dfrac1{180} \\\\ \implies \theta = -\tan^{-1}\left(\dfrac1{180}\right) = -\cot^{-1}(180)\)

so we can rewrite A(t) as

\(\displaystyle A(t) = 24,480 + \frac{367,200}{\sqrt{32,401}} \cos\left(t + \cot^{-1}(180)\right) - \frac{726,594,465}{32,401} e^{-t/180}\)

As t goes to infinity, the exponential term will converge to zero. Meanwhile the cosine term will oscillate between -1 and 1, so that A(t) will oscillate about the constant level of 24,480 oz between the extreme values of

\(24,480 - \dfrac{267,200}{\sqrt{32,401}} \approx 22,995.6 \,\mathrm{oz}\)

and

\(24,480 + \dfrac{267,200}{\sqrt{32,401}} \approx 25,964.4 \,\mathrm{oz}\)

which is to say, with amplitude

\(2 \times \dfrac{267,200}{\sqrt{32,401}} \approx \mathbf{2,968.84 \,oz}\)

The triangle can be classified as a scalene triangle by side, and also an acute triangle by angle.

A triangle is a plane shape that is bounded by three straight sides, thus three internal angles. They can be classifies by the length of sides, or measure of internal angles.

The types of triangles with respect to the length of sides are: equilateral, scalene and isosceles triangles. While the types of triangle with respect to the measure of internal angles are: right angled, obtuse angled and acute angled triangle.

A scalene triangle is a type that none of its sides are equal. While an acute triangle has none of its internal angles to be equal.

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The correct statement are:

Based on the given information, we can make the following conclusions:

A. The interquartile range for high school students is smaller than college students.

The statement is False

B. The mean for high school students is smaller than college students.

The statement is False because the mean of College is 25.28 and mean for High school is 30.4.

C. The range for high school students is larger than college students.

The statement is True .

D. The college median is equal to the high school median.

The statement is True because the median for both is 24..

E. The mean absolute deviation is larger for college students than high school students.

The statement is False.

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