To indirectly measure the distance across a river, Natalie stands on one side of the river and uses sight-lines to a landmark on the opposite bank. Natalie draws the diagram below to show the lengths and angles that she measured. Find
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PR, the distance across the river. Round your answer to the nearest foot.

The square root of 16*4 can be simplified as follows:

Square root of 16*4 = Square root of (16) * Square root of (4) = 4 * 2 = 8

Therefore, the answer is not A, B, or D. The correct answer is C) 32.

Answer:

The square root of 16*4 can be simplified as follows:

Square root of 16*4 = Square root of (16) * Square root of (4) = 4 * 2 = 8

Therefore, the answer is not A, B, or D. The correct answer is C) 32.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Smallest common multiple of 2, 4 and 7 -> 28

Answer:

12800 meters.

Hope that helps!!!

You travel 9600 meters after completing 8 laps on a 1 2/10 kilometers long go-kart track.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The length of the go-kart track is 1 2/10 kilometers, which can be converted to meters as follows:

1 kilometer = 1000 meters

2/10 kilometer = 2/10 x 1000 = 200 meters

So, the length of the go-kart track in meters is:

1 2/10 kilometers = 1 x 1000 + 2/10 x 1000 = 1200 meters

To find the total distance you travel after completing 8 laps, you need to multiply the length of the track by the number of laps:

Total distance = 8 x 1200 meters = 9600 meters

Therefore, you travel 9600 meters after completing 8 laps on a 1 2/10 kilometers long go-kart track.

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Answer: 7 minutes

Step-by-step explanation:

There is 1 minute every 60 seconds

So if we divide the amount of seconds by 60 we will get the answer.

Therefore our equation is:  420/60

420/60=7

SO the answer is 7 minutes

Hope this helps! :)

Option A. Never. A correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.

However, a strong correlation between two variables does not necessarily mean that one causes the other. This is because there may be other factors, known as confounding variables, that affect both variables simultaneously. Therefore, it is not appropriate to use a correlation coefficient to establish a causal relationship between two variables. In order to establish causality, more rigorous methods such as randomized controlled trials must be used, which attempt to isolate the effect of one variable on another while holding other factors constant.

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The image is an enlargement of the pre-image |s| > 1. The image is a reduction of the pre-image 0 < |s| < 1. The image is the same as the pre-image rotated 180 s = 1.

We double the length of each of the original shape's sides by a quantity known as a scale factor to enlarge a given shape. The shape will become smaller or larger depending on the scale factor, which can range from 0 to 1. If the scale factor is greater than 1, the shape will become larger. The image, for instance, displays a dilation with a scale factor of two.

The image is an enlargement of the pre-image |s| > 1.

The image is a reduction of the pre-image 0 < |s| < 1.

The image is the same as the pre-image rotated 180 s = 1.

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Answer:  p = 4

Step-by-step explanation:

Because 3 * 4 + 3 = 15 which is then multiplied by 4 equaling 60

Answer:

p=4

Step-by-step explanation:

4(3p +3) = 60

12p + 12 = 60

        -12   -12  

___________

12p = 48

p = 4

The binomial probability distribution is a discrete ​probability distribution that describes probabilities for experiments in which there are two mutually exclusive​ outcomes.

The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

In binomial probability distribution, the number of ‘Success’ in a sequence of n experiments, where each time a question is asked for yes-no, then the boolean-valued outcome is represented either with success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 − p). A single success/failure test is also called a Bernoulli trial or Bernoulli experiment, and a series of outcomes is called a Bernoulli process.

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Answer:

1000 litros x 1000000 ml/litro = 1 000 000 000 mililitros

The missing side length of the triangle is:

UT = 54

Here we can assume that the two triangles are similar triangles, that means that the quotient between the correspondent sides must be equal.

That means that:

KL/UV = ML/UT

And we know that:

KL = 130

ML = 117

UV = 60

UT = ?

Replacing that we can write:

130/60 = 117/?

Solving for the missing value we will get:

? = 117*(60/130) = 54

That is the missing side length.

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The given length measurements are converted and given below.

Unit conversion is a process with multiple steps that involve multiplication or division by a numerical factor or, particularly a conversion factor.

Given is to convert the given measurements as -

a) 192 km

b) 15500 dam

c) 85000 m

d) 3360 hm

e) 860000 dm

We can write the measurements as -

a) 192 km            

192 Km = 192000 meters

b) 15500 dam

15500 dam = 15500 x 10 = 155000 meters

c) 85000 m

85000 m = (85000/1000) Km = 85 Kilometers

d) 3360 hm

3360 hm = 3360 x 100 = 336000 meters

e) 860000 dm

860000 dm = 860000 x 0.1 = 860000 x 1/10 = 86000 meter

Therefore, the given length measurements are converted and given above.

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Answer:

x > -11 and x < 11

Step-by-step explanation:

Find the absolute value of a number gives you its distance from zero, which  is just the numerical parts of it. From this we can reason that the numbers between -11 and 11 have an absolute value less than 11, as they are the numbers that are less than 11 away from zero. This can be represented as -11  < x < 11, and can be separated into x > -11 and x < 11 (the "and" is because x has to fulfill both conditions of being greater than -11 and less than 11).

Answer:

x+y=17

y can be 1,3,5,7 or 9

Let's start at 9

x+9=17

x=8

So the burner is 89

7, 5, 3 and 1 don't work

For example In order x+7=17, x should be 10, which is a contradiction; x is the one-digit number. If 7 doesn't work, lower numbers shouldn't work as well.

Step-by-step explanation:

24 centimeter is approximately equal to 9.4488 inches ( rounded to four decimal places )

To convert 24 cm to inches, we can use the following formula:

1 cm = 0.393701 inches

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in inches = conversion factor × The length in centimeter

Substitute the values in the equation

24 cm = 24 x 0.393701

Multiply the numbers

= 9.4488 inches ( rounded to four decimal places )

Therefore, 24 centimeter is 9.4488 inches

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As k(-x) = -k(x), the function k is indeed an odd function. By switching the words in f, we can observe that f(-x) Equals f(x) (x). Hence, f is an even function.

A collection of inputs or one output for each input are referred to as a "function" in this sentence. Simply described, a function is a connection between inputs where each input is connected to exactly one output. Each function has a domain, codomain, or range.

1.The function k is an odd function.

A function is odd if f(-x) = -f(x) for all x. In the case of function k, we have:

k(-x) = 2 - 1(-x) = 1 + 2x

k(x) = 2 - 1(x) = 1 + 2x

Therefore, k(-x) = -k(x), and the function is odd.

2.The function f is an even function.

A function is even if f(-x) = f(x) for all x. In the case of function f, we have:

f(-x) = 3^(-x) + 3^x

f(x) = 3^x + 3^(-x)

We can see that f(-x) = f(x) by swapping the terms in f(x). Therefore, f is an even function.

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The expression that is equivalent to 734 + 356 - 134 using addition instead of subtraction is:

734 + 356 + (-134)

Answer:

706+350 = 956

A glass case is in the shape of a rectangular prism where the volume of the case is 4/125 cubic foot. The number of cubic blocks with a side length of 1/5 foot required to find the volume of glass case is option C: 4.

What is the rectangular prism?

A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional solid shape that has six faces, where each face is a rectangle.

The volume of the glass case is 4/125 cubic foot. We can write this as:

V = l × w × h = 4/125

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

To find how many cubic blocks with a side length of 1/5 foot would be required to find the volume of the glass case, we need to find the number of cubic blocks that can fit in the rectangular prism. Since the side length of each block is 1/5 foot, the volume of each block is (1/5)^3 = 1/125 cubic foot.

Therefore, the number of cubic blocks required is:

number of blocks = V / volume of one block

number of blocks = (4/125) / (1/125)

number of blocks = 4

So, we would need 4 cubic blocks with a side length of 1/5 foot to find the volume of the glass case.

Hence, the answer is 4.

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Answer:36

Step-by-step explanation:360 * 0.1 = 36 or 360/10 = 36

Answer:  A

Step-by-step explanation:

Benny's Pizza

13.60 + 2.50(3)

13.60 + 7.50

21.10

Ricco's Pizza

14.60 + 2(3)

14.60 + 6

21.60

The value of x in the two congruent triangles is 3.9 and length CB is 53.9.

The value of x can be determined by applying the principle of congruent theorem.

The congruent theorem states that, if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other.

( 11x + 11 ) / 77 = 21 / 30

11x + 11 = 53.9

11x = 53.9 - 11

11x = 42.9

x = 42.9 / 11

x = 3.9 units

The length of CB = ( 11 x 3.9 ) + 11 = 53.9

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Slope of the given graph is 2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us take two points to find the slope of line.

The two points are (4, 1) and (6,5)

m=5-1/6-4

m=4/2

m=2

Hence, slope of the given graph is 2.

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F(1) is equal to 0 for the given function F(x).

In order to evaluate a function at a specific value, you simply substitute that value for the input variable in the function and simplify the resulting expression.

If you are given a specific function F(x) and are asked to evaluate it at a specific value, say F(1), then you would substitute x=1 in the function F(x) and simplify the expression.

For example, if [tex]F(x) = x^2 + 2x - 3[/tex], then to evaluate F(1), we substitute x=1 in the expression:

[tex]F(1) = (1)^2 + 2(1) - 3[/tex]

Simplifying the expression, we get:

F(1) = 1 + 2 - 3 = 0

Hence, F(1) is equal to 0 for the given function F(x).

A function is a mathematical rule that takes an input value, processes it, and produces an output value. The input value is called the independent variable, and the output value is called the dependent variable, because its value depends on the input.

A function can be represented in various ways, such as an algebraic expression, a graph, a table, or a verbal description. For example, the function f(x) = 2x + 1 is an algebraic expression that represents a linear function, where the independent variable is x and the dependent variable is f(x).

Functions are used to describe and model relationships between variables in various fields of mathematics, science, engineering, economics, and other disciplines. They are important tools for analyzing and solving problems, and they can be used to make predictions, optimize processes, and design systems.

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Jill can water 52 plants.

A measurement of volume or capacity in the US Customary System that is equivalent to 14 gallons or 32 ounces and is used for liquids (0.95 liter).

We must divide the pail's overall capacity by the quantity of water required by each plant to determine how many plants Jill can water.

Let's first translate 6 1/2 gallons into a mixed number:

6 1/2 = 13/2

Then, we can divide the pail's total capacity by the quantity of water that each plant requires:

(13/2) / (1/8) = (13/2) * (8/1) = 104/2 = 52

Jill is then able to water 52 plants.

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Answer: Use the formula C (percent change/ percent difference) = x (the final value)-Y (the initial value) / Y, or C= x-y/y

Step-by-step explanation: This is the official formula. I found that it's easier to use the bigger value in the top x-y first, so you don't have to calculate the absolute value, but other than that the formula is correct.

Answer: B. 240

Step-by-step explanation: Hi there here is why your answer is this:

Area =  b × h

=  12 × 20

=  240 feet2

Hope this helps you!

The other two exterior angles are the ones in option 4.

105° and 115°

Remember two things:

You can use any of these two to find the answer, I will use the first one.

If one of the exterior angles is 140°, then the only option that adds up to 360° is the  lastoption

140° + 115° + 105° = 360°

So that is the correct option.

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The diameter of the circle is 30 units, and the equation is:

(x + 3)^2 + (y - 3)^2 = 15^2

We know that the diameter of the circle is defined by the points (12, 3) and (-18,3)

Notice that the y-value is the same one in both points, then the diameter is the difference between the x-values:

d = 12 - (-18) = 30

The diameter is 30 units.

Then the radius, half the diameter, is 15 units.

To write the circle equation we need to find the center.

Because of the points (12, 3) and (-18,3) we know that the y-value of the center must be y = 3.

And the x-value is the midpoint between x = -18 and x = 12, that is:

x = (-18 + 12)/2 = -6/2 = -3

The center is at (-3, 3)

Remember that the equation for a circle of center (a, b) and radius R is:

(x - a)^2 + (y - b)^2 = R^2

Here the center is (-3, 3) and the radius is 15, so the equation is:

(x + 3)^2 + (y - 3)^2 = 15^2

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The Laplace Transform Method can be used to solve all of these equations except for equation (e).

a.) Yes, the Laplace Transform Method can be used to solve this third-order linear differential equation with constant coefficients and a nonhomogeneous term.

b.) Yes, the Laplace Transform Method can be used to solve this second-order linear homogeneous differential equation with constant coefficients.

c.) Yes, the Laplace Transform Method can be used to solve this second-order linear differential equation with constant coefficients and a nonhomogeneous term.

d.) Yes, the Laplace Transform Method can be used to solve this second-order linear homogeneous differential equation with variable coefficients.

e.) No, the Laplace Transform Method cannot be used to solve this first-order nonlinear differential equation.

f.) Yes, the Laplace Transform Method can be used to solve this second-order linear differential equation with constant coefficients and a nonhomogeneous term.

g.) Yes, the Laplace Transform Method can be used to solve this first-order nonlinear differential equation.

h.) Yes, the Laplace Transform Method can be used to solve this first-order linear differential equation with constant coefficients and a nonhomogeneous term.

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Answer:

a=3

Step-by-step explanation:

the sum of anterior angle of a triangle is =180

57+81+14a=180

138+14a=180

42=14a

42/14=14a/14

3=a

therefore a=3.

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The number of games they win is 22 games for 54 game season.

What is proportion?
In mathematics, a proportion is a statement that two ratios are equal. A ratio is a comparison of two quantities or values, usually expressed as a fraction. For example, the ratio of boys to girls in a class might be expressed as 3/5, meaning that for every 3 boys in the class there are 5 girls.

Explanation:
Assuming that Manchester United's winning and losing rates remain the same throughout the season, we can use a proportion to estimate how many games they would win in a 54 game season:

wins / total games = winning rate

Using the data given in the problem, we can find the winning rate as:

14 / 35 = 0.4

So, Manchester United's winning rate is 0.4, or 40%.

To estimate how many games they would win in a 54 game season, we can set up a proportion:

wins / total games = winning rate

x / 54 = 0.4

Solving for x, we get:

x = 54 * 0.4 = 21.6

Rounding to the nearest whole number, we get an estimate of 22 games that Manchester United would win in a 54 game season, assuming their winning and losing rates remain the same as the first 35 games.

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