A glass jug can hold (p+6) quarts less water than a plastic container. 2 glass jugs and 2 plastic containers contain 6p quarts of water in all.

How much water can the plastic container hold? Give your answer im terms of p.

Answer:

Yes!

Step-by-step explanation:

You can change 11/10 to 1.1 meaning it is!

(There is a website called "Mathisfun.com" In the rational number section that is a great place to look if you need help)

The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.

We have,

We can use trigonometry to solve this problem.

          C

        /   \

       /     \

      /θ     \

     /         \

    /           \

   A-------------B

          50 ft

In this diagram, A represents the launch pad, B represents the maximum altitude of the rocket, C represents the position of the photographer, and θ represents the angle at which the tripod should be set.

We want to find θ.

First, we can find the height of the triangle ABC using the Pythagorean theorem:

AB² = AC² + BC²

200² = AC² + 50²

AC² = 200² - 50²

AC = √(200² - 50²)

AC = 190.526 ft

Next, we can use the tangent function to find θ:

tan(θ) = opposite/adjacent = AB/BC = 200/50 = 4

Taking the arctangent of both sides, we get:

θ = \(tan^{-1}(4)\)

θ = 75.96 degrees

Therefore,

The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.

Learn more about altitude here:

https://brainly.com/question/31686802

#SPJ1

The solid - I'll call it R - is best described in spherical coordinates:

\(R = \left\{(\rho,\theta,\varphi) \mid \sqrt{a}\le\rho\le\sqrt{b}, 0\le\theta\le2\pi, 0\le\varphi\le\dfrac\pi4\right\}\)

Then the volume of R is

\(\displaystyle\iiint_R\mathrm dV = \int_0^{\frac\pi4}\int_0^{2\pi}\int_{\sqrt a}^{\sqrt b}\rho^2\sin(\varphi)\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi \\\\\\ \displaystyle = \boxed{\frac{2\pi}3\left(b^{\frac32}-a^{\frac32}\right)\left(1-\dfrac1{\sqrt2}\right)}\)

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

learn more on motion here:https://brainly.com/question/29166471

#SPJ1

Answer:

Your answer is 136

Step-by-step explanation:

I hope this helps

The angle of elevation of the sun will be 61.04°.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the angle of elevation of the sun when a 47 ft mast casts a 26 ft shadow.

tanθ = 47 / 26

θ = tan⁻¹ ( 47 / 26 )

θ = 61.04°

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

Answer:

Distributive Property.

Step-by-step explanation:

Answer:

18 servings

Step-by-step explanation:

13 1/2 divided by 3/4

13.5/.75=18

Answer:

I also don't know just search on up 289183773829

The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.

To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.

Algorithm/Abstract Strategy:

Start with the numerator, which is 3.

Identify the denominator, which is 5.

Interpret the fraction as a ratio or comparison between the numerator and denominator.

Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).

Perform the division: 3 ÷ 5.

Simplify the division to its simplest form, if necessary.

The result of the division, in this case, is the decimal representation of the fraction.

If required, convert the decimal representation to a percentage or any other desired form.

For example, if we perform the division 3 ÷ 5, the result is 0.6.

So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.

For similar question on algorithm/abstract strategy.

https://brainly.com/question/31332020  

#SPJ8

The vertex of the graph is a maximum at (-2, 4)

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

Read more about vertex at

brainly.com/question/28180581

#SPJ1

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

To find (h - g)(t), we need to subtract g(t) from h(t).

h(t) = −3t³ - t

g(t) = 3t-2

Therefore, (h - g)(t) = h(t) - g(t) = (−3t³ - t) - (3t-2) = −3t³ + 2 - t.

So, (h - g)(t) = −3t³ + 2 - t.

Answer:

Lack of orginization

Step-by-step explanation:

To solve the exercise first, rewrite √6

Now, apply this law of radicals

Then, you have

Now, apply this law of radicals

Finally, you have

Therefore, the simplified form of the given expression is

and the correct and answer is option D.

Answer: y=5x-1

Step-by-step explanation:

y=mx+b is the slope-intercept form

m = slope

b - y-intercept

So:

y=5x-1

what happen is there is a glitch probably

yes this is what happened to me. if u get too far behind they will change the due dates to your "pace" and make it easier for you.

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

For more such questions on expression

https://brainly.com/question/1859113

#SPJ8

Two triangles are congruent if all their corresponding parts are congruent. This means that congruent triangles will have three pairs of congruent sides and three pairs of congruent angles.

Congruent angle must have the same size and shape, but may be positioned differently.

Thus if a triangle ABC is congruent to triangle XYZ then ZX is congruent ti CA.

There are few tests from which we can determine if the triangles are congruent or not.

1. Side-Side-Side test (SSS)

2. Side-Angle-Side test (SAS)

3. Angle-Side-Angle test (ASA)

4. Angle-Angle-Side test (AAS)

5. Hypotenuse-Leg test (HL)

Given question is incomplete.

To know more about congruence here

https://brainly.com/question/29617026

#SPJ4

The exact volume of a cone with the same dimensions is 9428.57 cubic inches

From the question, we have the following parameters that can be used in our computation:

The cylinder

The volume of the cone with the same dimensions is calculated as

Volume = 1/3 * Volume of cylinder

So, we have

Volume = 1/3 * 22/7 * (30/2) * (30/2) * 40

Evaluate

Volume = 9428.57

Hence, the exact volume of a cone with the same dimensions is 9428.57 cubic inches

Read more about volume at

https://brainly.com/question/30849227

#SPJ1

Thus, y + 3 = 3 (x - 3) is the equation for the point-slope of the line (3, - 4). the point-slope formula is To make a graph of a line when given the point-slope form of the line, we must first determine the point and the slope.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

calculation

A linear equation's point slope form is y - y -1 = m. ( x - x1 ). Change (3,-4) in the form.

3 ( x -3 ) = y - - 4

3 ( x - 3) = y + 3

Thus, y + 3 = 3 (x - 3) is the equation for the point-slope of the line (3, - 4). the point-slope formula is To make a graph of a line when given the point-slope form of the line, we must first determine the point and the slope.

To know more about point slope equation visit :-

https://brainly.com/question/29196777

#SPJ1

Answer:

21 miles per gallon

Step-by-step explanation:

252 miles divided by the 12 gallons equals 21 miles per gallon

he two numbers that multiply to -35 and add to get -18 are -5 and 3.

To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.

Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:

-5 + 3 = -2

So, -5 and 3 are the two numbers that multiply to -35 and add to -18.

The numeric values of the function are given as follows:

When x = 1, the function has a closed value on the graph at y = 4, hence:

g(1) = 4.

When x = -1,2 the function is passing through y = -10, hence the numeric value is given as follows:

g(-12) = -10.

The function is passing through the horizontal line y = -6 when -8 ≤ x < -1, hence:

g(x) = -6 for -8 ≤ x < -1.

Learn more about the numeric values of a function at https://brainly.com/question/28296698

#SPJ1

The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.

In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.

Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.

In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A

Learn more about number line on:

https://brainly.com/question/24644930

#SPJ1

A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.

Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.

Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.

To learn more about functions visit:

https://brainly.com/question/29051369?referrer=searchResults

#SPJ1

Answer:

g(6) = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(n) = n + 2

g(6) is n = 2

Step 2: Evaluate

Answer:

C

Step-by-step explanation:

4 is the y-intercept and 3 is the slope making the answer C.

As per the data the graph (A) represents the graph of the function f(x) = 3x+4 option (C) is correct.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of the function:

f(x) = 3x + 4

Let's plug x = 0

f(0) = 4

Let's plug x = 1

f(1) = 7

Let's plug x = -1

f(-1) = 1

Thus, as per the data above the graph (C) represents the graph of the function f(x) = 3x+4 option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2